From 73829dd2d8cbb918bd6e2fe8687a76f924dc4087 Mon Sep 17 00:00:00 2001 From: "Himanen, Lauri (himanel1)" <lauri.himanen@aalto.fi> Date: Mon, 9 May 2016 18:13:33 +0300 Subject: [PATCH] Added the parsing of numeric stress tensor. --- .gitignore | 3 + .../versions/cp2k262/commonmatcher.py | 48 +- .../versions/cp2k262/singlepointparser.py | 152 +- .../cp2k_2.6.2/energy_force/si_bulk8.inp | 1 + .../cp2k_2.6.2/energy_force/unittest.out | 6806 ++++++++++++++++- test/unittests/cp2k_2.6.2/run_tests.py | 28 +- 6 files changed, 6833 insertions(+), 205 deletions(-) diff --git a/.gitignore b/.gitignore index 3fb2ba6..85d5d27 100644 --- a/.gitignore +++ b/.gitignore @@ -61,6 +61,9 @@ test/**/*.restart test/**/*.restart.bak-1 test/**/*.restart.bak-2 test/**/*.restart.bak-3 +test/**/*.wfn.bak-1 +test/**/*.wfn.bak-2 +test/**/*.wfn.bak-3 parser/parser-cp2k/cp2kparser/versions/**/input_data/*.xml parser/parser-cp2k/cp2kparser/versions/**/input_data/*.html test/unittests/BASIS_SET diff --git a/parser/parser-cp2k/cp2kparser/versions/cp2k262/commonmatcher.py b/parser/parser-cp2k/cp2kparser/versions/cp2k262/commonmatcher.py index 4710dec..0920af7 100644 --- a/parser/parser-cp2k/cp2kparser/versions/cp2k262/commonmatcher.py +++ b/parser/parser-cp2k/cp2kparser/versions/cp2k262/commonmatcher.py @@ -26,15 +26,15 @@ class CommonMatcher(object): self.caching_levels = { 'section_XC_functionals': CachingLevel.ForwardAndCache, 'self_interaction_correction_method': CachingLevel.Cache, - 'cp2k_section_md_coordinates': CachingLevel.Cache, - 'cp2k_section_md_coordinate_atom': CachingLevel.Cache, - 'cp2k_md_coordinate_atom_string': CachingLevel.Cache, - 'cp2k_md_coordinate_atom_float': CachingLevel.Cache, + 'x_cp2k_section_md_coordinates': CachingLevel.Cache, + 'x_cp2k_section_md_coordinate_atom': CachingLevel.Cache, + 'x_cp2k_md_coordinate_atom_string': CachingLevel.Cache, + 'x_cp2k_md_coordinate_atom_float': CachingLevel.Cache, - 'cp2k_section_md_forces': CachingLevel.Cache, - 'cp2k_section_md_force_atom': CachingLevel.Cache, - 'cp2k_md_force_atom_string': CachingLevel.Cache, - 'cp2k_md_force_atom_float': CachingLevel.Cache, + 'x_cp2k_section_md_forces': CachingLevel.Cache, + 'x_cp2k_section_md_force_atom': CachingLevel.Cache, + 'x_cp2k_md_force_atom_string': CachingLevel.Cache, + 'x_cp2k_md_force_atom_float': CachingLevel.Cache, } def adHoc_cp2k_section_cell(self): @@ -69,27 +69,27 @@ class CommonMatcher(object): forwardMatch=True, subMatchers=[ SM( r" DBCSR\| Multiplication driver", - sections=['cp2k_section_dbcsr'], + sections=['x_cp2k_section_dbcsr'], ), - SM( r" \*\*\*\* \*\*\*\* \*\*\*\*\*\* \*\* PROGRAM STARTED AT\s+(?P<cp2k_run_start_date>\d{4}-\d{2}-\d{2}) (?P<cp2k_run_start_time>\d{2}:\d{2}:\d{2}.\d{3})", - sections=['cp2k_section_startinformation'], + SM( r" \*\*\*\* \*\*\*\* \*\*\*\*\*\* \*\* PROGRAM STARTED AT\s+(?P<x_cp2k_run_start_date>\d{4}-\d{2}-\d{2}) (?P<x_cp2k_run_start_time>\d{2}:\d{2}:\d{2}.\d{3})", + sections=['x_cp2k_section_startinformation'], ), SM( r" CP2K\|", - sections=['cp2k_section_programinformation'], + sections=['x_cp2k_section_programinformation'], forwardMatch=True, subMatchers=[ SM( r" CP2K\| version string:\s+(?P<program_version>[\w\d\W\s]+)"), - SM( r" CP2K\| source code revision number:\s+svn:(?P<cp2k_svn_revision>\d+)"), + SM( r" CP2K\| source code revision number:\s+svn:(?P<x_cp2k_svn_revision>\d+)"), ] ), - SM( r" CP2K\| Input file name\s+(?P<cp2k_input_filename>.+$)", - sections=['cp2k_section_filenames'], + SM( r" CP2K\| Input file name\s+(?P<x_cp2k_input_filename>.+$)", + sections=['x_cp2k_section_filenames'], subMatchers=[ - SM( r" GLOBAL\| Basis set file name\s+(?P<cp2k_basis_set_filename>.+$)"), - SM( r" GLOBAL\| Geminal file name\s+(?P<cp2k_geminal_filename>.+$)"), - SM( r" GLOBAL\| Potential file name\s+(?P<cp2k_potential_filename>.+$)"), - SM( r" GLOBAL\| MM Potential file name\s+(?P<cp2k_mm_potential_filename>.+$)"), - SM( r" GLOBAL\| Coordinate file name\s+(?P<cp2k_coordinate_filename>.+$)"), + SM( r" GLOBAL\| Basis set file name\s+(?P<x_cp2k_basis_set_filename>.+$)"), + SM( r" GLOBAL\| Geminal file name\s+(?P<x_cp2k_geminal_filename>.+$)"), + SM( r" GLOBAL\| Potential file name\s+(?P<x_cp2k_potential_filename>.+$)"), + SM( r" GLOBAL\| MM Potential file name\s+(?P<x_cp2k_mm_potential_filename>.+$)"), + SM( r" GLOBAL\| Coordinate file name\s+(?P<x_cp2k_coordinate_filename>.+$)"), ] ), SM( " CELL\|", @@ -106,10 +106,10 @@ class CommonMatcher(object): ] ), SM( " TOTAL NUMBERS AND MAXIMUM NUMBERS", - sections=["cp2k_section_total_numbers"], + sections=["x_cp2k_section_total_numbers"], subMatchers=[ SM( "\s+- Atoms:\s+(?P<number_of_atoms>\d+)"), - SM( "\s+- Shell sets:\s+(?P<cp2k_shell_sets>\d+)") + SM( "\s+- Shell sets:\s+(?P<x_cp2k_shell_sets>\d+)") ] ) ] @@ -136,11 +136,11 @@ class CommonMatcher(object): else: logger.warning("Unknown self-interaction correction method used.") - def onClose_cp2k_section_filenames(self, backend, gIndex, section): + def onClose_x_cp2k_section_filenames(self, backend, gIndex, section): """ """ # If the input file is available, parse it - input_file = section["cp2k_input_filename"][0] + input_file = section["x_cp2k_input_filename"][0] filepath = self.file_service.get_absolute_path_to_file(input_file) if filepath is not None: input_parser = CP2KInputParser(filepath, self.parser_context) diff --git a/parser/parser-cp2k/cp2kparser/versions/cp2k262/singlepointparser.py b/parser/parser-cp2k/cp2kparser/versions/cp2k262/singlepointparser.py index 9638b17..1f33979 100644 --- a/parser/parser-cp2k/cp2kparser/versions/cp2k262/singlepointparser.py +++ b/parser/parser-cp2k/cp2kparser/versions/cp2k262/singlepointparser.py @@ -1,6 +1,5 @@ import re from nomadcore.simple_parser import SimpleMatcher as SM -from nomadcore.caching_backend import CachingLevel from nomadcore.baseclasses import MainHierarchicalParser from singlepointforceparser import CP2KSinglePointForceParser from commonmatcher import CommonMatcher @@ -50,11 +49,18 @@ class CP2KSinglePointParser(MainHierarchicalParser): adHoc=self.adHoc_single_point_not_converged() ), SM( r" Electronic kinetic energy:\s+(?P<electronic_kinetic_energy__hartree>{})".format(self.cm.regex_f)), + SM( r" **************************** NUMERICAL STRESS ********************************".replace("*", "\*"), + adHoc=self.adHoc_stress_calculation(), + ), SM( r" ENERGY\| Total FORCE_EVAL \( \w+ \) energy \(a\.u\.\):\s+(?P<energy_total__hartree>{0})".format(self.cm.regex_f)), SM( r" ATOMIC FORCES in \[a\.u\.\]"), SM( r" # Atom Kind Element X Y Z", adHoc=self.adHoc_atom_forces() ), + SM( r" NUMERICAL STRESS TENSOR [GPa]"), + SM( r"\s+X\s+Y\s+Z", + adHoc=self.adHoc_stress_tensor() + ), ] ) ] @@ -73,19 +79,7 @@ class CP2KSinglePointParser(MainHierarchicalParser): ) #======================================================================= # The cache settings - self.caching_level_for_metaname = { - 'section_XC_functionals': CachingLevel.ForwardAndCache, - 'self_interaction_correction_method': CachingLevel.Cache, - 'cp2k_section_md_coordinates': CachingLevel.Cache, - 'cp2k_section_md_coordinate_atom': CachingLevel.Cache, - 'cp2k_md_coordinate_atom_string': CachingLevel.Cache, - 'cp2k_md_coordinate_atom_float': CachingLevel.Cache, - - 'cp2k_section_md_forces': CachingLevel.Cache, - 'cp2k_section_md_force_atom': CachingLevel.Cache, - 'cp2k_md_force_atom_string': CachingLevel.Cache, - 'cp2k_md_force_atom_float': CachingLevel.Cache, - } + self.caching_level_for_metaname = self.cm.caching_levels #======================================================================= # The additional onClose trigger functions @@ -209,8 +203,8 @@ class CP2KSinglePointParser(MainHierarchicalParser): return wrapper def adHoc_atom_forces(self): - """Used to extract the final atomic forces printed at the end of an - ENERGY_FORCE calculation is the PRINT setting is on. + """Used to extract the final atomic forces printed at the end of a + calculation. """ def wrapper(parser): @@ -235,6 +229,21 @@ class CP2KSinglePointParser(MainHierarchicalParser): return wrapper + def adHoc_stress_tensor(self): + """Used to extract the stress tensor printed at the end of a + calculation. + """ + def wrapper(parser): + row1 = [float(x) for x in parser.fIn.readline().split()[-3:]] + row2 = [float(x) for x in parser.fIn.readline().split()[-3:]] + row3 = [float(x) for x in parser.fIn.readline().split()[-3:]] + stress_array = np.array([row1, row2, row3]) + gid = parser.backend.openSection("section_stress_tensor") + parser.backend.addArrayValues("stress_tensor_value", stress_array, unit="GPa") + parser.backend.closeSection("section_stress_tensor", gid) + + return wrapper + def adHoc_single_point_converged(self): """Called when the SCF cycle of a single point calculation has converged. """ @@ -249,103 +258,14 @@ class CP2KSinglePointParser(MainHierarchicalParser): parser.backend.addValue("single_configuration_calculation_converged", False) return wrapper - - - - - # def adHoc_cp2k_section_cell(self): - # """Used to extract the cell information. - # """ - # def wrapper(parser): - # # Read the lines containing the cell vectors - # a_line = parser.fIn.readline() - # b_line = parser.fIn.readline() - # c_line = parser.fIn.readline() - - # # Define the regex that extracts the components and apply it to the lines - # regex_string = r" CELL\| Vector \w \[angstrom\]:\s+({0})\s+({0})\s+({0})".format(cm.regex_f) - # regex_compiled = re.compile(regex_string) - # a_result = regex_compiled.match(a_line) - # b_result = regex_compiled.match(b_line) - # c_result = regex_compiled.match(c_line) - - # # Convert the string results into a 3x3 numpy array - # cell = np.zeros((3, 3)) - # cell[0, :] = [float(x) for x in a_result.groups()] - # cell[1, :] = [float(x) for x in b_result.groups()] - # cell[2, :] = [float(x) for x in c_result.groups()] - - # # Push the results to the correct section - # parser.backend.addArrayValues("simulation_cell", cell, unit="angstrom") - - # return wrapper - - # def onClose_cp2k_section_filenames(self, backend, gIndex, section): - # """ - # """ - # # If the input file is available, parse it - # input_file = section["cp2k_input_filename"][0] - # filepath = self.file_service.get_absolute_path_to_file(input_file) - # if filepath is not None: - # input_parser = CP2KInputParser(filepath, self.parser_context) - # input_parser.parse() - # else: - # logger.warning("The input file of the calculation could not be found.") - - # def onClose_cp2k_section_md_coordinate_atom(self, backend, gIndex, section): - # """Given the string with the coordinate components for one atom, make it - # into a numpy array of coordinate components and store for later - # concatenation. - # """ - # force_string = section["cp2k_md_coordinate_atom_string"][0] - # components = np.array([float(x) for x in force_string.split()]) - # backend.addArrayValues("cp2k_md_coordinate_atom_float", components) - - # def onClose_cp2k_section_md_coordinates(self, backend, gIndex, section): - # """When all the coordinates for individual atoms have been gathered, - # concatenate them into one big array and forward to the backend. - # """ - # forces = section["cp2k_md_coordinate_atom_float"] - # forces = np.array(forces) - # backend.addArrayValues("cp2k_md_coordinates", forces) - - # def onClose_cp2k_section_md_force_atom(self, backend, gIndex, section): - # """Given the string with the force components for one atom, make it - # into a numpy array of force components and store for later - # concatenation. - # """ - # force_string = section["cp2k_md_force_atom_string"][0] - # components = np.array([float(x) for x in force_string.split()]) - # backend.addArrayValues("cp2k_md_force_atom_float", components) - - # def onClose_cp2k_section_md_forces(self, backend, gIndex, section): - # """When all the forces for individual atoms have been gathered, - # concatenate them into one big array and forward to the backend. - # """ - # forces = section["cp2k_md_force_atom_float"] - # forces = np.array(forces) - # backend.addArrayValues("cp2k_md_forces", forces, unit="forceAu") - - - #=========================================================================== - # The functions that trigger when sections are closed - # def onClose_section_method(self, backend, gIndex, section): - # """When all the functional definitions have been gathered, matches them - # with the nomad correspondents and combines into one single string which - # is put into the backend. - # """ - # # Transform the CP2K self-interaction correction string to the NOMAD - # # correspondent, and push directly to the superBackend to avoid caching - # sic_cp2k = section["self_interaction_correction_method"][0] - # sic_map = { - # "NO": "", - # "AD SIC": "SIC_AD", - # "Explicit Orbital SIC": "SIC_EXPLICIT_ORBITALS", - # "SPZ/MAURI SIC": "SIC_MAURI_SPZ", - # "US/MAURI SIC": "SIC_MAURI_US", - # } - # sic_nomad = sic_map.get(sic_cp2k) - # if sic_nomad is not None: - # backend.superBackend.addValue('self_interaction_correction_method', sic_nomad) - # else: - # logger.warning("Unknown self-interaction correction method used.") + def adHoc_stress_calculation(self): + """Used to skip over the stress tensor calculation details. + """ + def wrapper(parser): + end_line = " **************************** NUMERICAL STRESS END *****************************\n" + finished = False + while not finished: + line = parser.fIn.readline() + if line == end_line: + finished = True + return wrapper diff --git a/test/unittests/cp2k_2.6.2/energy_force/si_bulk8.inp b/test/unittests/cp2k_2.6.2/energy_force/si_bulk8.inp index 281a58b..853689b 100644 --- a/test/unittests/cp2k_2.6.2/energy_force/si_bulk8.inp +++ b/test/unittests/cp2k_2.6.2/energy_force/si_bulk8.inp @@ -5,6 +5,7 @@ &END GLOBAL &FORCE_EVAL METHOD Quickstep + STRESS_TENSOR NUMERICAL &SUBSYS &KIND Si ELEMENT Si diff --git a/test/unittests/cp2k_2.6.2/energy_force/unittest.out b/test/unittests/cp2k_2.6.2/energy_force/unittest.out index 9cbb501..a2a4bd5 100644 --- a/test/unittests/cp2k_2.6.2/energy_force/unittest.out +++ b/test/unittests/cp2k_2.6.2/energy_force/unittest.out @@ -9,10 +9,10 @@ DBCSR| Communication thread load 87 - **** **** ****** ** PROGRAM STARTED AT 2016-04-21 11:16:59.995 + **** **** ****** ** PROGRAM STARTED AT 2016-05-09 15:28:27.187 ***** ** *** *** ** PROGRAM STARTED ON lauri-Lenovo-Z50-70 ** **** ****** PROGRAM STARTED BY lauri - ***** ** ** ** ** PROGRAM PROCESS ID 9923 + ***** ** ** ** ** PROGRAM PROCESS ID 11416 **** ** ******* ** PROGRAM STARTED IN /home/lauri/Dropbox/nomad-dev/nomad-l ab-base/parsers/cp2k/test/unittests/c p2k_2.6.2/energy_force @@ -46,12 +46,12 @@ MEMORY| system memory details [Kb] MEMORY| rank 0 min max average MEMORY| MemTotal 8070380 8070380 8070380 8070380 - MEMORY| MemFree 2667660 2667660 2667660 2667660 - MEMORY| Buffers 889632 889632 889632 889632 - MEMORY| Cached 1940508 1940508 1940508 1940508 - MEMORY| Slab 513132 513132 513132 513132 - MEMORY| SReclaimable 470984 470984 470984 470984 - MEMORY| MemLikelyFree 5968784 5968784 5968784 5968784 + MEMORY| MemFree 2370516 2370516 2370516 2370516 + MEMORY| Buffers 949892 949892 949892 949892 + MEMORY| Cached 2297496 2297496 2297496 2297496 + MEMORY| Slab 500268 500268 500268 500268 + MEMORY| SReclaimable 460476 460476 460476 460476 + MEMORY| MemLikelyFree 6078380 6078380 6078380 6078380 *** Fundamental physical constants (SI units) *** @@ -712,7 +712,7 @@ Coulomb (electron-electron) energy: 2.5271711411 Maximum deviation from MO S-orthonormality 0.1998E-14 Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 - 9 Broy./Diag. 0.40E+00 1.4 0.00000252 -31.2978835492 -3.81E-05 + 9 Broy./Diag. 0.40E+00 1.6 0.00000252 -31.2978835492 -3.81E-05 Trace(PS): 32.0000000000 Electronic density on regular grids: -31.9999999889 0.0000000111 @@ -727,7 +727,7 @@ Coulomb (electron-electron) energy: 2.5271711399 Maximum deviation from MO S-orthonormality 0.1776E-14 Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 - 10 Broy./Diag. 0.40E+00 1.4 5.6405E-09 -31.2978852054 -1.66E-06 + 10 Broy./Diag. 0.40E+00 1.5 5.6405E-09 -31.2978852054 -1.66E-06 *** SCF run converged in 10 steps *** @@ -786,7 +786,7 @@ LOWDIN POPULATION ANALYSIS - *** 11:17:16 WARNING in population_analyses:lowdin_population_analysis :: *** + *** 15:28:42 WARNING in population_analyses:lowdin_population_analysis :: *** *** Overlap matrix exhibits linear dependencies. At least some *** *** eigenvalues have been quenched. *** @@ -1035,6 +1035,6687 @@ Sum of total 0.000000 0.000000 0.000000 + **************************** NUMERICAL STRESS ******************************** + + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 5 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5004E-02 Volume (a.u.^3) 1080.9504 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 6 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2317E-01 Volume (a.u.^3) 1080.9504 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 7 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.9504 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 8 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6255 Volume (a.u.^3) 1080.9504 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 5 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 6 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 7 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 8 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 0 + + B(1) = 1.000000 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0678428193 + Hartree energy: 42.4122281225 + Exchange-correlation energy: -9.7140446807 + Coulomb (electron-electron) energy: 2.5273194426 + Maximum deviation from MO S-orthonormality 0.1110E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 1 Broy./Diag. 0.40E+00 0.9 0.00191752 -31.2979131640 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679132734 + Hartree energy: 42.4122024965 + Exchange-correlation energy: -9.7140443906 + Coulomb (electron-electron) energy: 2.5273211143 + Maximum deviation from MO S-orthonormality 0.1776E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2335E+01 + 2 Broy./Diag. 0.40E+00 1.4 0.00000126 -31.2978680458 4.51E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679117790 + Hartree energy: 42.4121608517 + Exchange-correlation energy: -9.7140437937 + Coulomb (electron-electron) energy: 2.5273235658 + Maximum deviation from MO S-orthonormality 0.2442E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2335E+01 + 3 Broy./Diag. 0.40E+00 1.4 0.00000198 -31.2979105880 -4.25E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679094703 + Hartree energy: 42.4121605493 + Exchange-correlation energy: -9.7140437090 + Coulomb (electron-electron) energy: 2.5273234144 + Maximum deviation from MO S-orthonormality 0.2220E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2335E+01 + 4 Broy./Diag. 0.40E+00 1.4 0.00000003 -31.2979131145 -2.53E-06 + + *** SCF run converged in 4 steps *** + + + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + Overlap energy of the core charge distribution: 0.00000000005310 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06790947031986 + Hartree energy: 42.41216054931865 + Exchange-correlation energy: -9.71404370904261 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52732341435437 + + Total energy: -31.29791311447919 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 -0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31470566542083 + + + LOWDIN POPULATION ANALYSIS + + *** 15:28:51 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si -0.000000 + 2 Si -0.000000 + 3 Si -0.000000 + 4 Si -0.000000 + 5 Si 0.000000 + 6 Si 0.000000 + 7 Si 0.000000 + 8 Si 0.000000 + Total 0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= -0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08729118 0.00000000 0.00000000 ] [i] + [Y]=[ 0.00000000 26.08474943 0.00000000 ]*[j] + [Z] [ 0.00000000 0.00000000 26.08474943 ] [k] + Dipole moment [Debye] + X= -0.00000002 Y= -0.00000002 Z= -0.00000001 Total= 0.00000003 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24281696 -0.09107454 -0.09107453 -0.09105289 + -0.09105289 -0.09105288 -0.09105288 0.09082051 + 0.09082051 0.09082052 0.09082052 0.09084796 + 0.09084797 0.20023179 0.20025569 0.20025569 + Fermi Energy [eV] : 5.449235 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679095295 + Hartree energy: 42.4121603134 + Exchange-correlation energy: -9.7140435885 + Coulomb (electron-electron) energy: 2.5273231800 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297913170675034 + + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 9 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5003E-02 Volume (a.u.^3) 1080.7397 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 10 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2316E-01 Volume (a.u.^3) 1080.7397 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 11 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.7397 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 12 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6254 Volume (a.u.^3) 1080.7397 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 9 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 10 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 11 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 12 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 0 + + B(1) = 2.000000 + B(2) = -1.000000 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0694603234 + Hartree energy: 42.4110916345 + Exchange-correlation energy: -9.7144699679 + Coulomb (electron-electron) energy: 2.5270307183 + Maximum deviation from MO S-orthonormality 0.8882E-15 + Minimum/Maximum MO magnitude 0.5687E+00 0.2335E+01 + 1 Broy./Diag. 0.40E+00 0.9 0.00575782 -31.2978574351 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692479740 + Hartree energy: 42.4111687394 + Exchange-correlation energy: -9.7144707737 + Coulomb (electron-electron) energy: 2.5270255373 + Maximum deviation from MO S-orthonormality 0.1776E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 2 Broy./Diag. 0.40E+00 1.4 0.00000387 -31.2979934854 -1.36E-04 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692525327 + Hartree energy: 42.4112940068 + Exchange-correlation energy: -9.7144724665 + Coulomb (electron-electron) energy: 2.5270179309 + Maximum deviation from MO S-orthonormality 0.1998E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 3 Broy./Diag. 0.40E+00 1.4 0.00000605 -31.2978653521 1.28E-04 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692595717 + Hartree energy: 42.4112949213 + Exchange-correlation energy: -9.7144727245 + Coulomb (electron-electron) energy: 2.5270183936 + Maximum deviation from MO S-orthonormality 0.1665E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 4 Broy./Diag. 0.40E+00 1.5 0.00000011 -31.2978576566 7.70E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692593898 + Hartree energy: 42.4112957180 + Exchange-correlation energy: -9.7144730374 + Coulomb (electron-electron) energy: 2.5270189811 + Maximum deviation from MO S-orthonormality 0.1776E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 5 Broy./Diag. 0.40E+00 1.4 0.00000015 -31.2978573547 3.02E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692591505 + Hartree energy: 42.4112957621 + Exchange-correlation energy: -9.7144730395 + Coulomb (electron-electron) energy: 2.5270189804 + Maximum deviation from MO S-orthonormality 0.1332E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 6 Broy./Diag. 0.40E+00 1.4 2.7246E-09 -31.2978575520 -1.97E-07 + + *** SCF run converged in 6 steps *** + + + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + Overlap energy of the core charge distribution: 0.00000000005329 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06925915049647 + Hartree energy: 42.41129576210763 + Exchange-correlation energy: -9.71447303950415 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52701898044508 + + Total energy: -31.29785755197496 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31580624929167 + + + LOWDIN POPULATION ANALYSIS + + *** 15:29:01 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si 0.000000 + 2 Si 0.000000 + 3 Si 0.000000 + 4 Si 0.000000 + 5 Si -0.000000 + 6 Si -0.000000 + 7 Si -0.000000 + 8 Si -0.000000 + Total 0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= -0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08220769 0.00000000 0.00000000 ] [i] + [Y]=[ 0.00000000 26.08474943 0.00000000 ]*[j] + [Z] [ 0.00000000 0.00000000 26.08474943 ] [k] + Dipole moment [Debye] + X= -0.00000000 Y= -0.00000000 Z= -0.00000000 Total= 0.00000000 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24279774 -0.09102282 -0.09102282 -0.09102281 + -0.09102281 -0.09100116 -0.09100115 0.09086047 + 0.09086047 0.09088793 0.09088793 0.09088794 + 0.09088794 0.20030844 0.20030845 0.20033235 + Fermi Energy [eV] : 5.451320 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692591536 + Hartree energy: 42.4112958163 + Exchange-correlation energy: -9.7144730405 + Coulomb (electron-electron) energy: 2.5270189763 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297857495588428 + + E(xx + 0.0010) E(xx - 0.0010) f(numerical) + -31.29791317 -31.29785750 -0.02783754 + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 13 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5004E-02 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 14 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2317E-01 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 15 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 16 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6255 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 13 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 14 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 15 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 16 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 1 + + B(1) = 2.500000 + B(2) = -2.000000 + B(3) = 0.500000 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000028 -0.0000000028 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0682841417 + Hartree energy: 42.4120332594 + Exchange-correlation energy: -9.7142631875 + Coulomb (electron-electron) energy: 2.5271542299 + Maximum deviation from MO S-orthonormality 0.1110E-14 + Minimum/Maximum MO magnitude 0.5690E+00 0.2339E+01 + 1 Broy./Diag. 0.40E+00 1.7 0.00863992 -31.2978852115 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000028 -0.0000000028 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0686007445 + Hartree energy: 42.4119180398 + Exchange-correlation energy: -9.7142618695 + Coulomb (electron-electron) energy: 2.5271617180 + Maximum deviation from MO S-orthonormality 0.1334E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 2 Broy./Diag. 0.40E+00 3.7 0.00001211 -31.2976825102 2.03E-04 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685940398 + Hartree energy: 42.4117536083 + Exchange-correlation energy: -9.7142594950 + Coulomb (electron-electron) energy: 2.5271713608 + Maximum deviation from MO S-orthonormality 0.2665E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 3 Broy./Diag. 0.40E+00 3.9 0.00001698 -31.2978512720 -1.69E-04 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685849431 + Hartree energy: 42.4117326401 + Exchange-correlation energy: -9.7142586468 + Coulomb (electron-electron) energy: 2.5271714405 + Maximum deviation from MO S-orthonormality 0.1911E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 4 Broy./Diag. 0.40E+00 3.8 0.00000203 -31.2978804886 -2.92E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842991 + Hartree energy: 42.4117286400 + Exchange-correlation energy: -9.7142584213 + Coulomb (electron-electron) energy: 2.5271713235 + Maximum deviation from MO S-orthonormality 0.3553E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 5 Broy./Diag. 0.40E+00 3.8 0.00000020 -31.2978849073 -4.42E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842330 + Hartree energy: 42.4117282022 + Exchange-correlation energy: -9.7142583350 + Coulomb (electron-electron) energy: 2.5271711833 + Maximum deviation from MO S-orthonormality 0.2109E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 6 Broy./Diag. 0.40E+00 3.8 0.00000019 -31.2978853249 -4.18E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842792 + Hartree energy: 42.4117281143 + Exchange-correlation energy: -9.7142583181 + Coulomb (electron-electron) energy: 2.5271711563 + Maximum deviation from MO S-orthonormality 0.1443E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 7 Broy./Diag. 0.40E+00 3.8 0.00000004 -31.2978853497 -2.48E-08 + + *** SCF run converged in 7 steps *** + + + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + Overlap energy of the core charge distribution: 0.00000000005320 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06858427923087 + Hartree energy: 42.41172811425314 + Exchange-correlation energy: -9.71425831814042 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52717115634808 + + Total energy: -31.29788534973142 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 0.000000 + 2 Si 1 4.000000 -0.000000 + 3 Si 1 4.000000 -0.000000 + 4 Si 1 4.000000 -0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 -0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31525593331662 + + + LOWDIN POPULATION ANALYSIS + + *** 15:29:30 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si -0.000000 + 2 Si 0.000000 + 3 Si 0.000000 + 4 Si 0.000000 + 5 Si -0.000000 + 6 Si 0.000000 + 7 Si -0.000000 + 8 Si -0.000000 + Total -0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= 0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08474943 0.00254175 0.00000000 ] [i] + [Y]=[ 0.00000000 26.08474943 0.00000000 ]*[j] + [Z] [ 0.00000000 0.00000000 26.08474943 ] [k] + Dipole moment [Debye] + X= 0.00000000 Y= -0.00000000 Z= -0.00000000 Total= 0.00000000 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24280735 -0.09105270 -0.09103786 -0.09103786 + -0.09103785 -0.09103785 -0.09102300 0.09083496 + 0.09085421 0.09085421 0.09085422 0.09085422 + 0.09087347 0.20027771 0.20028206 0.20028641 + Fermi Energy [eV] : 5.450070 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842874 + Hartree energy: 42.4117280978 + Exchange-correlation energy: -9.7142583177 + Coulomb (electron-electron) energy: 2.5271711573 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297885357549447 + + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 17 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5004E-02 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 18 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2317E-01 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 19 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 20 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6255 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 17 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 18 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 19 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 20 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 2 + + B(1) = 2.800000 + B(2) = -2.800000 + B(3) = 1.200000 + B(4) = -0.200000 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0688504962 + Hartree energy: 42.4114575375 + Exchange-correlation energy: -9.7142537162 + Coulomb (electron-electron) energy: 2.5271855097 + Maximum deviation from MO S-orthonormality 0.8882E-15 + Minimum/Maximum MO magnitude 0.5686E+00 0.2334E+01 + 1 Broy./Diag. 0.40E+00 1.7 0.00768535 -31.2978851076 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685699579 + Hartree energy: 42.4115596737 + Exchange-correlation energy: -9.7142549986 + Coulomb (electron-electron) energy: 2.5271791377 + Maximum deviation from MO S-orthonormality 0.1998E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 2 Broy./Diag. 0.40E+00 3.8 0.00004628 -31.2980647922 -1.80E-04 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685757895 + Hartree energy: 42.4116912773 + Exchange-correlation energy: -9.7142570416 + Coulomb (electron-electron) energy: 2.5271717498 + Maximum deviation from MO S-orthonormality 0.2665E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 3 Broy./Diag. 0.40E+00 3.8 0.00005862 -31.2979293998 1.35E-04 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685829368 + Hartree energy: 42.4117200481 + Exchange-correlation energy: -9.7142579373 + Coulomb (electron-electron) energy: 2.5271710773 + Maximum deviation from MO S-orthonormality 0.1998E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 4 Broy./Diag. 0.40E+00 3.8 0.00001171 -31.2978943775 3.50E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685840780 + Hartree energy: 42.4117268216 + Exchange-correlation energy: -9.7142582005 + Coulomb (electron-electron) energy: 2.5271710275 + Maximum deviation from MO S-orthonormality 0.1998E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 5 Broy./Diag. 0.40E+00 3.8 0.00000208 -31.2978867260 7.65E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685843005 + Hartree energy: 42.4117277866 + Exchange-correlation energy: -9.7142582886 + Coulomb (electron-electron) energy: 2.5271711249 + Maximum deviation from MO S-orthonormality 0.1776E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 6 Broy./Diag. 0.40E+00 3.7 0.00000042 -31.2978856266 1.10E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842884 + Hartree energy: 42.4117280901 + Exchange-correlation energy: -9.7142583168 + Coulomb (electron-electron) energy: 2.5271711564 + Maximum deviation from MO S-orthonormality 0.2220E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 7 Broy./Diag. 0.40E+00 3.8 0.00000014 -31.2978853634 2.63E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842848 + Hartree energy: 42.4117280951 + Exchange-correlation energy: -9.7142583170 + Coulomb (electron-electron) energy: 2.5271711563 + Maximum deviation from MO S-orthonormality 0.2442E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 8 Broy./Diag. 0.40E+00 3.8 1.6047E-09 -31.2978853622 1.19E-09 + + *** SCF run converged in 8 steps *** + + + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + Overlap energy of the core charge distribution: 0.00000000005320 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06858428480039 + Hartree energy: 42.41172809511872 + Exchange-correlation energy: -9.71425831704689 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52717115629744 + + Total energy: -31.29788536220278 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 0.000000 + 2 Si 1 4.000000 -0.000000 + 3 Si 1 4.000000 -0.000000 + 4 Si 1 4.000000 -0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 -0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31525593167417 + + + LOWDIN POPULATION ANALYSIS + + *** 15:30:03 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si -0.000000 + 2 Si -0.000000 + 3 Si -0.000000 + 4 Si -0.000000 + 5 Si -0.000000 + 6 Si 0.000000 + 7 Si -0.000000 + 8 Si -0.000000 + Total -0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= 0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08474943 -0.00254175 0.00000000 ] [i] + [Y]=[ 0.00000000 26.08474943 0.00000000 ]*[j] + [Z] [ 0.00000000 0.00000000 26.08474943 ] [k] + Dipole moment [Debye] + X= 0.00000000 Y= 0.00000000 Z= 0.00000000 Total= 0.00000000 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24280735 -0.09105270 -0.09103786 -0.09103786 + -0.09103785 -0.09103785 -0.09102301 0.09083495 + 0.09085421 0.09085421 0.09085422 0.09085422 + 0.09087348 0.20027770 0.20028206 0.20028642 + Fermi Energy [eV] : 5.450071 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842854 + Hartree energy: 42.4117280994 + Exchange-correlation energy: -9.7142583173 + Coulomb (electron-electron) energy: 2.5271711562 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297885357557032 + + E(xy + 0.0010) E(xy - 0.0010) f(numerical) + -31.29788536 -31.29788536 0.00000000 + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 21 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5004E-02 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 22 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2317E-01 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 23 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 24 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6255 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 21 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 22 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 23 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 24 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 3 + + B(1) = 3.000000 + B(2) = -3.428571 + B(3) = 1.928571 + B(4) = -0.571429 + B(5) = 0.071429 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000028 -0.0000000028 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0684181358 + Hartree energy: 42.4118974453 + Exchange-correlation energy: -9.7142610548 + Coulomb (electron-electron) energy: 2.5271618442 + Maximum deviation from MO S-orthonormality 0.1332E-14 + Minimum/Maximum MO magnitude 0.5689E+00 0.2338E+01 + 1 Broy./Diag. 0.40E+00 1.7 0.00842587 -31.2978848987 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685933932 + Hartree energy: 42.4118334984 + Exchange-correlation energy: -9.7142603040 + Coulomb (electron-electron) energy: 2.5271659536 + Maximum deviation from MO S-orthonormality 0.1998E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 2 Broy./Diag. 0.40E+00 3.8 0.00007821 -31.2977728374 1.12E-04 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685896838 + Hartree energy: 42.4117519086 + Exchange-correlation energy: -9.7142591112 + Coulomb (electron-electron) energy: 2.5271707058 + Maximum deviation from MO S-orthonormality 0.1110E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 3 Broy./Diag. 0.40E+00 3.8 0.00009813 -31.2978569438 -8.41E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685851831 + Hartree energy: 42.4117337039 + Exchange-correlation energy: -9.7142585667 + Coulomb (electron-electron) energy: 2.5271711795 + Maximum deviation from MO S-orthonormality 0.2140E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 4 Broy./Diag. 0.40E+00 3.8 0.00001998 -31.2978791048 -2.22E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685844429 + Hartree energy: 42.4117290431 + Exchange-correlation energy: -9.7142583946 + Coulomb (electron-electron) energy: 2.5271712330 + Maximum deviation from MO S-orthonormality 0.3109E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 5 Broy./Diag. 0.40E+00 3.8 0.00000398 -31.2978843337 -5.23E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842825 + Hartree energy: 42.4117283727 + Exchange-correlation energy: -9.7142583399 + Coulomb (electron-electron) energy: 2.5271711788 + Maximum deviation from MO S-orthonormality 0.1684E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 6 Broy./Diag. 0.40E+00 3.8 0.00000056 -31.2978851098 -7.76E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842855 + Hartree energy: 42.4117281025 + Exchange-correlation energy: -9.7142583176 + Coulomb (electron-electron) energy: 2.5271711564 + Maximum deviation from MO S-orthonormality 0.1998E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 7 Broy./Diag. 0.40E+00 3.9 0.00000025 -31.2978853546 -2.45E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842866 + Hartree energy: 42.4117281002 + Exchange-correlation energy: -9.7142583175 + Coulomb (electron-electron) energy: 2.5271711565 + Maximum deviation from MO S-orthonormality 0.2220E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 8 Broy./Diag. 0.40E+00 3.8 2.4842E-09 -31.2978853557 -1.09E-09 + + *** SCF run converged in 8 steps *** + + + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + Overlap energy of the core charge distribution: 0.00000000005320 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06858428664897 + Hartree energy: 42.41172810020814 + Exchange-correlation energy: -9.71425831750554 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52717115653625 + + Total energy: -31.29788535572343 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 0.000000 + 2 Si 1 4.000000 -0.000000 + 3 Si 1 4.000000 -0.000000 + 4 Si 1 4.000000 -0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 -0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31525593236479 + + + LOWDIN POPULATION ANALYSIS + + *** 15:30:36 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si 0.000000 + 2 Si 0.000000 + 3 Si 0.000000 + 4 Si 0.000000 + 5 Si -0.000000 + 6 Si -0.000000 + 7 Si -0.000000 + 8 Si -0.000000 + Total -0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= 0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08474943 0.00000000 0.00254175 ] [i] + [Y]=[ 0.00000000 26.08474943 0.00000000 ]*[j] + [Z] [ 0.00000000 0.00000000 26.08474943 ] [k] + Dipole moment [Debye] + X= 0.00000000 Y= 0.00000000 Z= 0.00000000 Total= 0.00000000 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24280735 -0.09105270 -0.09103786 -0.09103786 + -0.09103785 -0.09103785 -0.09102300 0.09083496 + 0.09085421 0.09085421 0.09085422 0.09085422 + 0.09087347 0.20027771 0.20028206 0.20028641 + Fermi Energy [eV] : 5.450070 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842863 + Hartree energy: 42.4117280987 + Exchange-correlation energy: -9.7142583175 + Coulomb (electron-electron) energy: 2.5271711567 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297885357549454 + + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 25 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5004E-02 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 26 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2317E-01 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 27 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 28 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6255 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 25 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 26 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 27 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 28 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 3 + + B(1) = 3.000000 + B(2) = -3.428571 + B(3) = 1.928571 + B(4) = -0.571429 + B(5) = 0.071429 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0686269357 + Hartree energy: 42.4116849932 + Exchange-correlation energy: -9.7142574184 + Coulomb (electron-electron) energy: 2.5271730621 + Maximum deviation from MO S-orthonormality 0.1110E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 1 Broy./Diag. 0.40E+00 1.7 0.00702103 -31.2978849146 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685821637 + Hartree energy: 42.4117012467 + Exchange-correlation energy: -9.7142576857 + Coulomb (electron-electron) energy: 2.5271721931 + Maximum deviation from MO S-orthonormality 0.2665E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 2 Broy./Diag. 0.40E+00 3.8 0.00006517 -31.2979137003 -2.88E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685830243 + Hartree energy: 42.4117219898 + Exchange-correlation energy: -9.7142580922 + Coulomb (electron-electron) energy: 2.5271712247 + Maximum deviation from MO S-orthonormality 0.4219E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 3 Broy./Diag. 0.40E+00 3.8 0.00008165 -31.2978925032 2.12E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685840707 + Hartree energy: 42.4117266413 + Exchange-correlation energy: -9.7142582486 + Coulomb (electron-electron) energy: 2.5271711417 + Maximum deviation from MO S-orthonormality 0.2220E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 4 Broy./Diag. 0.40E+00 3.8 0.00001666 -31.2978869617 5.54E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842471 + Hartree energy: 42.4117278504 + Exchange-correlation energy: -9.7142582971 + Coulomb (electron-electron) energy: 2.5271711364 + Maximum deviation from MO S-orthonormality 0.2033E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 5 Broy./Diag. 0.40E+00 3.8 0.00000338 -31.2978856246 1.34E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842862 + Hartree energy: 42.4117280245 + Exchange-correlation energy: -9.7142583112 + Coulomb (electron-electron) energy: 2.5271711503 + Maximum deviation from MO S-orthonormality 0.2220E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 6 Broy./Diag. 0.40E+00 3.8 0.00000044 -31.2978854256 1.99E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842859 + Hartree energy: 42.4117280984 + Exchange-correlation energy: -9.7142583173 + Coulomb (electron-electron) energy: 2.5271711564 + Maximum deviation from MO S-orthonormality 0.3109E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 7 Broy./Diag. 0.40E+00 3.8 0.00000021 -31.2978853580 6.75E-08 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842858 + Hartree energy: 42.4117280989 + Exchange-correlation energy: -9.7142583173 + Coulomb (electron-electron) energy: 2.5271711564 + Maximum deviation from MO S-orthonormality 0.1998E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 8 Broy./Diag. 0.40E+00 3.8 2.8863E-09 -31.2978853577 2.75E-10 + + *** SCF run converged in 8 steps *** + + + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + Overlap energy of the core charge distribution: 0.00000000005320 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06858428578036 + Hartree energy: 42.41172809888675 + Exchange-correlation energy: -9.71425831733839 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52717115643094 + + Total energy: -31.29788535774629 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 0.000000 + 2 Si 1 4.000000 -0.000000 + 3 Si 1 4.000000 -0.000000 + 4 Si 1 4.000000 -0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 -0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31525593203546 + + + LOWDIN POPULATION ANALYSIS + + *** 15:31:10 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si -0.000000 + 2 Si -0.000000 + 3 Si -0.000000 + 4 Si -0.000000 + 5 Si 0.000000 + 6 Si 0.000000 + 7 Si 0.000000 + 8 Si 0.000000 + Total -0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= 0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08474943 0.00000000 -0.00254175 ] [i] + [Y]=[ 0.00000000 26.08474943 0.00000000 ]*[j] + [Z] [ 0.00000000 0.00000000 26.08474943 ] [k] + Dipole moment [Debye] + X= 0.00000000 Y= 0.00000000 Z= 0.00000000 Total= 0.00000000 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24280735 -0.09105270 -0.09103786 -0.09103786 + -0.09103785 -0.09103785 -0.09102301 0.09083495 + 0.09085421 0.09085421 0.09085422 0.09085422 + 0.09087348 0.20027770 0.20028206 0.20028642 + Fermi Energy [eV] : 5.450071 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842858 + Hartree energy: 42.4117280990 + Exchange-correlation energy: -9.7142583174 + Coulomb (electron-electron) energy: 2.5271711565 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297885357557050 + + E(xz + 0.0010) E(xz - 0.0010) f(numerical) + -31.29788536 -31.29788536 0.00000000 + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 29 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5004E-02 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 30 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2317E-01 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 31 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 32 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6255 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 29 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 30 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 31 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 32 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 3 + + B(1) = 3.000000 + B(2) = -3.428571 + B(3) = 1.928571 + B(4) = -0.571429 + B(5) = 0.071429 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685795355 + Hartree energy: 42.4117332784 + Exchange-correlation energy: -9.7142582454 + Coulomb (electron-electron) energy: 2.5271705155 + Maximum deviation from MO S-orthonormality 0.7772E-15 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 1 Broy./Diag. 0.40E+00 1.8 0.00842534 -31.2978848566 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685847157 + Hartree energy: 42.4117313028 + Exchange-correlation energy: -9.7142582801 + Coulomb (electron-electron) energy: 2.5271707740 + Maximum deviation from MO S-orthonormality 0.1776E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 2 Broy./Diag. 0.40E+00 3.8 0.00007820 -31.2978816866 3.17E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685845377 + Hartree energy: 42.4117288202 + Exchange-correlation energy: -9.7142583236 + Coulomb (electron-electron) energy: 2.5271711036 + Maximum deviation from MO S-orthonormality 0.2331E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 3 Broy./Diag. 0.40E+00 3.8 0.00009782 -31.2978843908 -2.70E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685843254 + Hartree energy: 42.4117282725 + Exchange-correlation energy: -9.7142583213 + Coulomb (electron-electron) energy: 2.5271711489 + Maximum deviation from MO S-orthonormality 0.1998E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 4 Broy./Diag. 0.40E+00 3.7 0.00002001 -31.2978851484 -7.58E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842929 + Hartree energy: 42.4117281288 + Exchange-correlation energy: -9.7142583194 + Coulomb (electron-electron) energy: 2.5271711580 + Maximum deviation from MO S-orthonormality 0.2426E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 5 Broy./Diag. 0.40E+00 3.8 0.00000414 -31.2978853228 -1.74E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842858 + Hartree energy: 42.4117281085 + Exchange-correlation energy: -9.7142583180 + Coulomb (electron-electron) energy: 2.5271711569 + Maximum deviation from MO S-orthonormality 0.2665E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 6 Broy./Diag. 0.40E+00 3.8 0.00000050 -31.2978853488 -2.60E-08 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842859 + Hartree energy: 42.4117280992 + Exchange-correlation energy: -9.7142583174 + Coulomb (electron-electron) energy: 2.5271711564 + Maximum deviation from MO S-orthonormality 0.2554E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 7 Broy./Diag. 0.40E+00 3.8 0.00000025 -31.2978853573 -8.45E-09 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842860 + Hartree energy: 42.4117280991 + Exchange-correlation energy: -9.7142583174 + Coulomb (electron-electron) energy: 2.5271711565 + Maximum deviation from MO S-orthonormality 0.2887E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 8 Broy./Diag. 0.40E+00 3.8 2.4404E-09 -31.2978853574 -7.64E-11 + + *** SCF run converged in 8 steps *** + + + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + Overlap energy of the core charge distribution: 0.00000000005320 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06858428600437 + Hartree energy: 42.41172809908340 + Exchange-correlation energy: -9.71425831737490 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52717115646938 + + Total energy: -31.29788535736213 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 0.000000 + 2 Si 1 4.000000 -0.000000 + 3 Si 1 4.000000 -0.000000 + 4 Si 1 4.000000 -0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 -0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31525593212529 + + + LOWDIN POPULATION ANALYSIS + + *** 15:31:43 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si -0.000000 + 2 Si -0.000000 + 3 Si -0.000000 + 4 Si -0.000000 + 5 Si -0.000000 + 6 Si 0.000000 + 7 Si 0.000000 + 8 Si 0.000000 + Total -0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= 0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08474943 0.00000000 0.00000000 ] [i] + [Y]=[ 0.00254175 26.08474943 0.00000000 ]*[j] + [Z] [ 0.00000000 0.00000000 26.08474943 ] [k] + Dipole moment [Debye] + X= 0.00000000 Y= 0.00000000 Z= 0.00000000 Total= 0.00000000 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24280735 -0.09105270 -0.09103786 -0.09103786 + -0.09103785 -0.09103785 -0.09102300 0.09083496 + 0.09085421 0.09085421 0.09085422 0.09085422 + 0.09087347 0.20027771 0.20028206 0.20028641 + Fermi Energy [eV] : 5.450070 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842860 + Hartree energy: 42.4117280990 + Exchange-correlation energy: -9.7142583174 + Coulomb (electron-electron) energy: 2.5271711566 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297885357549436 + + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 33 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5004E-02 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 34 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2317E-01 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 35 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 36 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6255 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 33 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 34 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 35 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 36 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 3 + + B(1) = 3.000000 + B(2) = -3.428571 + B(3) = 1.928571 + B(4) = -0.571429 + B(5) = 0.071429 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685841200 + Hartree energy: 42.4117285389 + Exchange-correlation energy: -9.7142581240 + Coulomb (electron-electron) energy: 2.5271706704 + Maximum deviation from MO S-orthonormality 0.1221E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 1 Broy./Diag. 0.40E+00 1.7 0.00702110 -31.2978848901 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685845031 + Hartree energy: 42.4117283509 + Exchange-correlation energy: -9.7142581985 + Coulomb (electron-electron) energy: 2.5271708592 + Maximum deviation from MO S-orthonormality 0.2034E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 2 Broy./Diag. 0.40E+00 3.8 0.00006517 -31.2978847696 1.21E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685844107 + Hartree energy: 42.4117281435 + Exchange-correlation energy: -9.7142582973 + Coulomb (electron-electron) energy: 2.5271711081 + Maximum deviation from MO S-orthonormality 0.1887E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 3 Broy./Diag. 0.40E+00 3.8 0.00008151 -31.2978851682 -3.99E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685843028 + Hartree energy: 42.4117281086 + Exchange-correlation energy: -9.7142583133 + Coulomb (electron-electron) energy: 2.5271711468 + Maximum deviation from MO S-orthonormality 0.2442E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 4 Broy./Diag. 0.40E+00 3.8 0.00001667 -31.2978853270 -1.59E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842886 + Hartree energy: 42.4117281002 + Exchange-correlation energy: -9.7142583171 + Coulomb (electron-electron) energy: 2.5271711558 + Maximum deviation from MO S-orthonormality 0.2887E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 5 Broy./Diag. 0.40E+00 3.8 0.00000346 -31.2978853533 -2.63E-08 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842857 + Hartree energy: 42.4117280996 + Exchange-correlation energy: -9.7142583172 + Coulomb (electron-electron) energy: 2.5271711561 + Maximum deviation from MO S-orthonormality 0.2442E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 6 Broy./Diag. 0.40E+00 3.8 0.00000041 -31.2978853571 -3.76E-09 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842859 + Hartree energy: 42.4117280992 + Exchange-correlation energy: -9.7142583173 + Coulomb (electron-electron) energy: 2.5271711564 + Maximum deviation from MO S-orthonormality 0.1332E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 7 Broy./Diag. 0.40E+00 3.8 0.00000020 -31.2978853574 -2.78E-10 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842860 + Hartree energy: 42.4117280991 + Exchange-correlation energy: -9.7142583174 + Coulomb (electron-electron) energy: 2.5271711564 + Maximum deviation from MO S-orthonormality 0.2220E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 8 Broy./Diag. 0.40E+00 3.8 2.6975E-09 -31.2978853574 -2.47E-11 + + *** SCF run converged in 8 steps *** + + + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + Overlap energy of the core charge distribution: 0.00000000005320 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06858428595833 + Hartree energy: 42.41172809910015 + Exchange-correlation energy: -9.71425831735995 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52717115642806 + + Total energy: -31.29788535737649 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 0.000000 + 2 Si 1 4.000000 -0.000000 + 3 Si 1 4.000000 -0.000000 + 4 Si 1 4.000000 -0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 -0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31525593210237 + + + LOWDIN POPULATION ANALYSIS + + *** 15:32:16 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si -0.000000 + 2 Si -0.000000 + 3 Si -0.000000 + 4 Si -0.000000 + 5 Si 0.000000 + 6 Si 0.000000 + 7 Si 0.000000 + 8 Si 0.000000 + Total -0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= 0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08474943 0.00000000 0.00000000 ] [i] + [Y]=[ -0.00254175 26.08474943 0.00000000 ]*[j] + [Z] [ 0.00000000 0.00000000 26.08474943 ] [k] + Dipole moment [Debye] + X= 0.00000000 Y= 0.00000000 Z= 0.00000000 Total= 0.00000000 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24280735 -0.09105270 -0.09103786 -0.09103786 + -0.09103785 -0.09103785 -0.09102301 0.09083495 + 0.09085421 0.09085421 0.09085422 0.09085422 + 0.09087348 0.20027770 0.20028206 0.20028642 + Fermi Energy [eV] : 5.450071 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842859 + Hartree energy: 42.4117280990 + Exchange-correlation energy: -9.7142583174 + Coulomb (electron-electron) energy: 2.5271711565 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297885357557035 + + E(yx + 0.0010) E(yx - 0.0010) f(numerical) + -31.29788536 -31.29788536 0.00000000 + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 37 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5004E-02 Volume (a.u.^3) 1080.9504 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 38 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2317E-01 Volume (a.u.^3) 1080.9504 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 39 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.9504 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 40 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6255 Volume (a.u.^3) 1080.9504 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 37 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 38 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 39 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 40 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 3 + + B(1) = 3.000000 + B(2) = -3.428571 + B(3) = 1.928571 + B(4) = -0.571429 + B(5) = 0.071429 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0678430549 + Hartree energy: 42.4122282897 + Exchange-correlation energy: -9.7140446108 + Coulomb (electron-electron) energy: 2.5273192769 + Maximum deviation from MO S-orthonormality 0.8882E-15 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 1 Broy./Diag. 0.40E+00 0.8 0.00851957 -31.2979126913 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679133537 + Hartree energy: 42.4122025855 + Exchange-correlation energy: -9.7140443433 + Coulomb (electron-electron) energy: 2.5273210013 + Maximum deviation from MO S-orthonormality 0.2776E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2335E+01 + 2 Broy./Diag. 0.40E+00 1.4 0.00007900 -31.2978678292 4.49E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679118261 + Hartree energy: 42.4121698611 + Exchange-correlation energy: -9.7140439130 + Coulomb (electron-electron) energy: 2.5273230134 + Maximum deviation from MO S-orthonormality 0.1776E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2335E+01 + 3 Broy./Diag. 0.40E+00 1.4 0.00009896 -31.2979016509 -3.38E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679099763 + Hartree energy: 42.4121625470 + Exchange-correlation energy: -9.7140437036 + Coulomb (electron-electron) energy: 2.5273232247 + Maximum deviation from MO S-orthonormality 0.1861E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2335E+01 + 4 Broy./Diag. 0.40E+00 1.4 0.00002019 -31.2979106053 -8.95E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679096716 + Hartree energy: 42.4121606445 + Exchange-correlation energy: -9.7140436358 + Coulomb (electron-electron) energy: 2.5273232519 + Maximum deviation from MO S-orthonormality 0.2442E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2335E+01 + 5 Broy./Diag. 0.40E+00 1.4 0.00000411 -31.2979127449 -2.14E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679096043 + Hartree energy: 42.4121603717 + Exchange-correlation energy: -9.7140436141 + Coulomb (electron-electron) energy: 2.5273232309 + Maximum deviation from MO S-orthonormality 0.1576E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2335E+01 + 6 Broy./Diag. 0.40E+00 1.4 0.00000053 -31.2979130631 -3.18E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679096053 + Hartree energy: 42.4121602549 + Exchange-correlation energy: -9.7140436046 + Coulomb (electron-electron) energy: 2.5273232217 + Maximum deviation from MO S-orthonormality 0.1776E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2335E+01 + 7 Broy./Diag. 0.40E+00 1.4 0.00000025 -31.2979131695 -1.06E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679096056 + Hartree energy: 42.4121602541 + Exchange-correlation energy: -9.7140436046 + Coulomb (electron-electron) energy: 2.5273232218 + Maximum deviation from MO S-orthonormality 0.1332E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2335E+01 + 8 Broy./Diag. 0.40E+00 1.5 2.7698E-09 -31.2979131700 -4.88E-10 + + *** SCF run converged in 8 steps *** + + + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + Overlap energy of the core charge distribution: 0.00000000005310 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06790960562200 + Hartree energy: 42.41216025408506 + Exchange-correlation energy: -9.71404360462541 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52732322182547 + + Total energy: -31.29791316999345 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31470571648748 + + + LOWDIN POPULATION ANALYSIS + + *** 15:32:28 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si -0.000000 + 2 Si 0.000000 + 3 Si 0.000000 + 4 Si 0.000000 + 5 Si -0.000000 + 6 Si 0.000000 + 7 Si -0.000000 + 8 Si -0.000000 + Total 0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= 0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08474943 0.00000000 0.00000000 ] [i] + [Y]=[ 0.00000000 26.08729118 0.00000000 ]*[j] + [Z] [ 0.00000000 0.00000000 26.08474943 ] [k] + Dipole moment [Debye] + X= -0.00000000 Y= -0.00000000 Z= -0.00000000 Total= 0.00000001 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24281697 -0.09107454 -0.09107453 -0.09105289 + -0.09105289 -0.09105288 -0.09105288 0.09082051 + 0.09082051 0.09082051 0.09082051 0.09084796 + 0.09084796 0.20023178 0.20025568 0.20025569 + Fermi Energy [eV] : 5.449234 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679096055 + Hartree energy: 42.4121602536 + Exchange-correlation energy: -9.7140436046 + Coulomb (electron-electron) energy: 2.5273232220 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297913170676377 + + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 41 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5003E-02 Volume (a.u.^3) 1080.7397 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 42 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2316E-01 Volume (a.u.^3) 1080.7397 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 43 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.7397 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 44 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6254 Volume (a.u.^3) 1080.7397 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 41 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 42 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 43 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 44 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 3 + + B(1) = 3.000000 + B(2) = -3.428571 + B(3) = 1.928571 + B(4) = -0.571429 + B(5) = 0.071429 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000059 + Total charge density g-space grids: 0.0000000059 + + + Core Hamiltonian energy: 18.0695283166 + Hartree energy: 42.4110230791 + Exchange-correlation energy: -9.7144690721 + Coulomb (electron-electron) energy: 2.5270349680 + Maximum deviation from MO S-orthonormality 0.8882E-15 + Minimum/Maximum MO magnitude 0.5686E+00 0.2335E+01 + 1 Broy./Diag. 0.40E+00 0.8 0.00767732 -31.2978571015 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692440976 + Hartree energy: 42.4111260756 + Exchange-correlation energy: -9.7144700891 + Coulomb (electron-electron) energy: 2.5270279116 + Maximum deviation from MO S-orthonormality 0.1998E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 2 Broy./Diag. 0.40E+00 1.4 0.00006522 -31.2980393410 -1.82E-04 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692502384 + Hartree energy: 42.4112580418 + Exchange-correlation energy: -9.7144718067 + Coulomb (electron-electron) energy: 2.5270197508 + Maximum deviation from MO S-orthonormality 0.1776E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 3 Broy./Diag. 0.40E+00 1.4 0.00008217 -31.2979029515 1.36E-04 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692577144 + Hartree energy: 42.4112872248 + Exchange-correlation energy: -9.7144726564 + Coulomb (electron-electron) energy: 2.5270189382 + Maximum deviation from MO S-orthonormality 0.2220E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 4 Broy./Diag. 0.40E+00 1.4 0.00001661 -31.2978671423 3.58E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692589212 + Hartree energy: 42.4112944076 + Exchange-correlation energy: -9.7144729200 + Coulomb (electron-electron) energy: 2.5270188514 + Maximum deviation from MO S-orthonormality 0.2220E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 5 Broy./Diag. 0.40E+00 1.4 0.00000313 -31.2978590163 8.13E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692591694 + Hartree energy: 42.4112954392 + Exchange-correlation energy: -9.7144730090 + Coulomb (electron-electron) energy: 2.5270189451 + Maximum deviation from MO S-orthonormality 0.2442E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 6 Broy./Diag. 0.40E+00 1.4 0.00000053 -31.2978578255 1.19E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692591600 + Hartree energy: 42.4112958048 + Exchange-correlation energy: -9.7144730411 + Coulomb (electron-electron) energy: 2.5270189790 + Maximum deviation from MO S-orthonormality 0.2442E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 7 Broy./Diag. 0.40E+00 1.4 0.00000020 -31.2978575013 3.24E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692591568 + Hartree energy: 42.4112958094 + Exchange-correlation energy: -9.7144730412 + Coulomb (electron-electron) energy: 2.5270189787 + Maximum deviation from MO S-orthonormality 0.1554E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 8 Broy./Diag. 0.40E+00 1.4 2.1805E-09 -31.2978575000 1.37E-09 + + *** SCF run converged in 8 steps *** + + + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + Overlap energy of the core charge distribution: 0.00000000005329 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06925915683703 + Hartree energy: 42.41129580942494 + Exchange-correlation energy: -9.71447304116603 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52701897867325 + + Total energy: -31.29785749997897 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31580625261596 + + + LOWDIN POPULATION ANALYSIS + + *** 15:32:40 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si -0.000000 + 2 Si 0.000000 + 3 Si 0.000000 + 4 Si 0.000000 + 5 Si 0.000000 + 6 Si 0.000000 + 7 Si 0.000000 + 8 Si 0.000000 + Total 0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= 0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08474943 0.00000000 0.00000000 ] [i] + [Y]=[ 0.00000000 26.08220769 0.00000000 ]*[j] + [Z] [ 0.00000000 0.00000000 26.08474943 ] [k] + Dipole moment [Debye] + X= -0.00000000 Y= -0.00000000 Z= -0.00000000 Total= 0.00000000 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24279774 -0.09102282 -0.09102282 -0.09102281 + -0.09102281 -0.09100116 -0.09100115 0.09086047 + 0.09086047 0.09088793 0.09088793 0.09088794 + 0.09088794 0.20030844 0.20030845 0.20033235 + Fermi Energy [eV] : 5.451320 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692591575 + Hartree energy: 42.4112958133 + Exchange-correlation energy: -9.7144730412 + Coulomb (electron-electron) energy: 2.5270189783 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297857495588428 + + E(yy + 0.0010) E(yy - 0.0010) f(numerical) + -31.29791317 -31.29785750 -0.02783754 + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 45 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5004E-02 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 46 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2317E-01 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 47 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 48 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6255 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 45 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 46 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 47 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 48 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 3 + + B(1) = 3.000000 + B(2) = -3.428571 + B(3) = 1.928571 + B(4) = -0.571429 + B(5) = 0.071429 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000028 -0.0000000028 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0681549226 + Hartree energy: 42.4121646064 + Exchange-correlation energy: -9.7142651122 + Coulomb (electron-electron) energy: 2.5271465611 + Maximum deviation from MO S-orthonormality 0.1110E-14 + Minimum/Maximum MO magnitude 0.5690E+00 0.2340E+01 + 1 Broy./Diag. 0.40E+00 1.8 0.01233767 -31.2978850083 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000028 -0.0000000028 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0686079866 + Hartree energy: 42.4119997810 + Exchange-correlation energy: -9.7142632958 + Coulomb (electron-electron) energy: 2.5271574271 + Maximum deviation from MO S-orthonormality 0.1554E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 2 Broy./Diag. 0.40E+00 3.8 0.00003042 -31.2975949534 2.90E-04 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685983295 + Hartree energy: 42.4117794877 + Exchange-correlation energy: -9.7142602038 + Coulomb (electron-electron) energy: 2.5271705454 + Maximum deviation from MO S-orthonormality 0.1631E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 3 Broy./Diag. 0.40E+00 3.8 0.00003998 -31.2978218118 -2.27E-04 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685860600 + Hartree energy: 42.4117375553 + Exchange-correlation energy: -9.7142588373 + Coulomb (electron-electron) energy: 2.5271714016 + Maximum deviation from MO S-orthonormality 0.2432E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 4 Broy./Diag. 0.40E+00 3.8 0.00000700 -31.2978746471 -5.28E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685844620 + Hartree energy: 42.4117293864 + Exchange-correlation energy: -9.7142584827 + Coulomb (electron-electron) energy: 2.5271713847 + Maximum deviation from MO S-orthonormality 0.1776E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 5 Broy./Diag. 0.40E+00 3.8 0.00000091 -31.2978840594 -9.41E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842296 + Hartree energy: 42.4117283476 + Exchange-correlation energy: -9.7142583484 + Coulomb (electron-electron) energy: 2.5271711979 + Maximum deviation from MO S-orthonormality 0.2220E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 6 Broy./Diag. 0.40E+00 3.8 0.00000040 -31.2978851962 -1.14E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842780 + Hartree energy: 42.4117281193 + Exchange-correlation energy: -9.7142583184 + Coulomb (electron-electron) energy: 2.5271711564 + Maximum deviation from MO S-orthonormality 0.1941E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 7 Broy./Diag. 0.40E+00 3.8 0.00000009 -31.2978853463 -1.50E-07 + + *** SCF run converged in 7 steps *** + + + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + Overlap energy of the core charge distribution: 0.00000000005320 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06858427795745 + Hartree energy: 42.41172811925696 + Exchange-correlation energy: -9.71425831844629 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52717115637259 + + Total energy: -31.29788534630689 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 0.000000 + 2 Si 1 4.000000 -0.000000 + 3 Si 1 4.000000 -0.000000 + 4 Si 1 4.000000 -0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 -0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31525593376363 + + + LOWDIN POPULATION ANALYSIS + + *** 15:33:10 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si -0.000000 + 2 Si 0.000000 + 3 Si 0.000000 + 4 Si 0.000000 + 5 Si -0.000000 + 6 Si 0.000000 + 7 Si -0.000000 + 8 Si -0.000000 + Total -0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= -0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08474943 0.00000000 0.00000000 ] [i] + [Y]=[ 0.00000000 26.08474943 0.00254175 ]*[j] + [Z] [ 0.00000000 0.00000000 26.08474943 ] [k] + Dipole moment [Debye] + X= -0.00000000 Y= -0.00000000 Z= -0.00000000 Total= 0.00000000 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24280735 -0.09105270 -0.09103786 -0.09103786 + -0.09103785 -0.09103785 -0.09102300 0.09083496 + 0.09085421 0.09085421 0.09085422 0.09085422 + 0.09087347 0.20027771 0.20028206 0.20028641 + Fermi Energy [eV] : 5.450070 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842880 + Hartree energy: 42.4117280974 + Exchange-correlation energy: -9.7142583178 + Coulomb (electron-electron) energy: 2.5271711576 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297885357549465 + + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 49 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5004E-02 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 50 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2317E-01 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 51 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 52 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6255 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 49 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 50 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 51 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 52 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 3 + + B(1) = 3.000000 + B(2) = -3.428571 + B(3) = 1.928571 + B(4) = -0.571429 + B(5) = 0.071429 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0689413616 + Hartree energy: 42.4113653372 + Exchange-correlation energy: -9.7142522764 + Coulomb (electron-electron) energy: 2.5271906925 + Maximum deviation from MO S-orthonormality 0.8882E-15 + Minimum/Maximum MO magnitude 0.5686E+00 0.2333E+01 + 1 Broy./Diag. 0.40E+00 1.7 0.01029080 -31.2978850027 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685649554 + Hartree energy: 42.4115022876 + Exchange-correlation energy: -9.7142539435 + Coulomb (electron-electron) energy: 2.5271820288 + Maximum deviation from MO S-orthonormality 0.2743E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 2 Broy./Diag. 0.40E+00 3.8 0.00004873 -31.2981261256 -2.41E-04 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685728254 + Hartree energy: 42.4116797897 + Exchange-correlation energy: -9.7142566345 + Coulomb (electron-electron) energy: 2.5271719173 + Maximum deviation from MO S-orthonormality 0.1554E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 3 Broy./Diag. 0.40E+00 3.8 0.00006209 -31.2979434444 1.83E-04 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685825260 + Hartree energy: 42.4117179394 + Exchange-correlation energy: -9.7142578258 + Coulomb (electron-electron) energy: 2.5271710320 + Maximum deviation from MO S-orthonormality 0.1998E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 4 Broy./Diag. 0.40E+00 3.7 0.00001220 -31.2978967855 4.67E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685840346 + Hartree energy: 42.4117265376 + Exchange-correlation energy: -9.7142581652 + Coulomb (electron-electron) energy: 2.5271709797 + Maximum deviation from MO S-orthonormality 0.2665E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 5 Broy./Diag. 0.40E+00 3.7 0.00000203 -31.2978870181 9.77E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685843118 + Hartree energy: 42.4117277425 + Exchange-correlation energy: -9.7142582825 + Coulomb (electron-electron) energy: 2.5271711164 + Maximum deviation from MO S-orthonormality 0.1665E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 6 Broy./Diag. 0.40E+00 3.7 0.00000049 -31.2978856533 1.36E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842903 + Hartree energy: 42.4117280855 + Exchange-correlation energy: -9.7142583166 + Coulomb (electron-electron) energy: 2.5271711564 + Maximum deviation from MO S-orthonormality 0.3331E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 7 Broy./Diag. 0.40E+00 3.7 0.00000015 -31.2978853659 2.87E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842844 + Hartree energy: 42.4117280931 + Exchange-correlation energy: -9.7142583169 + Coulomb (electron-electron) energy: 2.5271711562 + Maximum deviation from MO S-orthonormality 0.1665E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 8 Broy./Diag. 0.40E+00 3.8 1.8482E-09 -31.2978853645 1.37E-09 + + *** SCF run converged in 8 steps *** + + + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + Overlap energy of the core charge distribution: 0.00000000005320 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06858428437271 + Hartree energy: 42.41172809307820 + Exchange-correlation energy: -9.71425831690215 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52717115622678 + + Total energy: -31.29788536452624 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 0.000000 + 2 Si 1 4.000000 -0.000000 + 3 Si 1 4.000000 -0.000000 + 4 Si 1 4.000000 -0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 -0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31525593153154 + + + LOWDIN POPULATION ANALYSIS + + *** 15:33:43 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si -0.000000 + 2 Si 0.000000 + 3 Si 0.000000 + 4 Si 0.000000 + 5 Si -0.000000 + 6 Si -0.000000 + 7 Si -0.000000 + 8 Si -0.000000 + Total -0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= 0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08474943 0.00000000 0.00000000 ] [i] + [Y]=[ 0.00000000 26.08474943 -0.00254175 ]*[j] + [Z] [ 0.00000000 0.00000000 26.08474943 ] [k] + Dipole moment [Debye] + X= 0.00000000 Y= 0.00000000 Z= 0.00000000 Total= 0.00000000 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24280735 -0.09105270 -0.09103786 -0.09103786 + -0.09103785 -0.09103785 -0.09102301 0.09083495 + 0.09085421 0.09085421 0.09085422 0.09085422 + 0.09087348 0.20027770 0.20028206 0.20028642 + Fermi Energy [eV] : 5.450071 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842852 + Hartree energy: 42.4117280996 + Exchange-correlation energy: -9.7142583173 + Coulomb (electron-electron) energy: 2.5271711562 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297885357557053 + + E(yz + 0.0010) E(yz - 0.0010) f(numerical) + -31.29788536 -31.29788536 0.00000000 + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 53 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5004E-02 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 54 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2317E-01 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 55 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 56 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6255 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 53 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 54 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 55 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 56 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 3 + + B(1) = 3.000000 + B(2) = -3.428571 + B(3) = 1.928571 + B(4) = -0.571429 + B(5) = 0.071429 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000028 -0.0000000028 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0684180860 + Hartree energy: 42.4118974842 + Exchange-correlation energy: -9.7142610438 + Coulomb (electron-electron) energy: 2.5271618159 + Maximum deviation from MO S-orthonormality 0.1110E-14 + Minimum/Maximum MO magnitude 0.5689E+00 0.2338E+01 + 1 Broy./Diag. 0.40E+00 1.7 0.00842584 -31.2978848987 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685934061 + Hartree energy: 42.4118335218 + Exchange-correlation energy: -9.7142602976 + Coulomb (electron-electron) energy: 2.5271659371 + Maximum deviation from MO S-orthonormality 0.3775E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 2 Broy./Diag. 0.40E+00 3.8 0.00007821 -31.2977727948 1.12E-04 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685896913 + Hartree energy: 42.4117519124 + Exchange-correlation energy: -9.7142591102 + Coulomb (electron-electron) energy: 2.5271707033 + Maximum deviation from MO S-orthonormality 0.2442E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 3 Broy./Diag. 0.40E+00 3.8 0.00009813 -31.2978569316 -8.41E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685851841 + Hartree energy: 42.4117337043 + Exchange-correlation energy: -9.7142585665 + Coulomb (electron-electron) energy: 2.5271711791 + Maximum deviation from MO S-orthonormality 0.1554E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 4 Broy./Diag. 0.40E+00 3.8 0.00001998 -31.2978791032 -2.22E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685844431 + Hartree energy: 42.4117290432 + Exchange-correlation energy: -9.7142583946 + Coulomb (electron-electron) energy: 2.5271712330 + Maximum deviation from MO S-orthonormality 0.1804E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 5 Broy./Diag. 0.40E+00 3.8 0.00000398 -31.2978843335 -5.23E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842825 + Hartree energy: 42.4117283727 + Exchange-correlation energy: -9.7142583399 + Coulomb (electron-electron) energy: 2.5271711788 + Maximum deviation from MO S-orthonormality 0.3331E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 6 Broy./Diag. 0.40E+00 3.8 0.00000056 -31.2978851099 -7.76E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842855 + Hartree energy: 42.4117281025 + Exchange-correlation energy: -9.7142583176 + Coulomb (electron-electron) energy: 2.5271711564 + Maximum deviation from MO S-orthonormality 0.2220E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 7 Broy./Diag. 0.40E+00 3.8 0.00000025 -31.2978853546 -2.45E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842867 + Hartree energy: 42.4117281002 + Exchange-correlation energy: -9.7142583175 + Coulomb (electron-electron) energy: 2.5271711565 + Maximum deviation from MO S-orthonormality 0.1998E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 8 Broy./Diag. 0.40E+00 3.8 2.4855E-09 -31.2978853557 -1.09E-09 + + *** SCF run converged in 8 steps *** + + + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + Overlap energy of the core charge distribution: 0.00000000005320 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06858428665182 + Hartree energy: 42.41172810020532 + Exchange-correlation energy: -9.71425831750335 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52717115653180 + + Total energy: -31.29788535572121 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 0.000000 + 2 Si 1 4.000000 -0.000000 + 3 Si 1 4.000000 -0.000000 + 4 Si 1 4.000000 -0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 -0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31525593236587 + + + LOWDIN POPULATION ANALYSIS + + *** 15:34:16 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si -0.000000 + 2 Si 0.000000 + 3 Si 0.000000 + 4 Si 0.000000 + 5 Si -0.000000 + 6 Si -0.000000 + 7 Si -0.000000 + 8 Si -0.000000 + Total -0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= 0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08474943 0.00000000 0.00000000 ] [i] + [Y]=[ 0.00000000 26.08474943 0.00000000 ]*[j] + [Z] [ 0.00254175 0.00000000 26.08474943 ] [k] + Dipole moment [Debye] + X= 0.00000000 Y= 0.00000000 Z= 0.00000000 Total= 0.00000000 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24280735 -0.09105270 -0.09103786 -0.09103786 + -0.09103785 -0.09103785 -0.09102300 0.09083496 + 0.09085421 0.09085421 0.09085422 0.09085422 + 0.09087347 0.20027771 0.20028206 0.20028641 + Fermi Energy [eV] : 5.450070 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842863 + Hartree energy: 42.4117280987 + Exchange-correlation energy: -9.7142583175 + Coulomb (electron-electron) energy: 2.5271711567 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297885357549450 + + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 57 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5004E-02 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 58 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2317E-01 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 59 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 60 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6255 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 57 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 58 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 59 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 60 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 3 + + B(1) = 3.000000 + B(2) = -3.428571 + B(3) = 1.928571 + B(4) = -0.571429 + B(5) = 0.071429 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0686269405 + Hartree energy: 42.4116849893 + Exchange-correlation energy: -9.7142574194 + Coulomb (electron-electron) energy: 2.5271730648 + Maximum deviation from MO S-orthonormality 0.6661E-15 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 1 Broy./Diag. 0.40E+00 1.7 0.00702102 -31.2978849147 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685821625 + Hartree energy: 42.4117012444 + Exchange-correlation energy: -9.7142576863 + Coulomb (electron-electron) energy: 2.5271721947 + Maximum deviation from MO S-orthonormality 0.1998E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 2 Broy./Diag. 0.40E+00 3.8 0.00006517 -31.2979137045 -2.88E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685830236 + Hartree energy: 42.4117219893 + Exchange-correlation energy: -9.7142580923 + Coulomb (electron-electron) energy: 2.5271712249 + Maximum deviation from MO S-orthonormality 0.1776E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 3 Broy./Diag. 0.40E+00 3.8 0.00008165 -31.2978925046 2.12E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685840706 + Hartree energy: 42.4117266411 + Exchange-correlation energy: -9.7142582486 + Coulomb (electron-electron) energy: 2.5271711418 + Maximum deviation from MO S-orthonormality 0.1776E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 4 Broy./Diag. 0.40E+00 3.8 0.00001666 -31.2978869620 5.54E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842471 + Hartree energy: 42.4117278504 + Exchange-correlation energy: -9.7142582971 + Coulomb (electron-electron) energy: 2.5271711364 + Maximum deviation from MO S-orthonormality 0.2331E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 5 Broy./Diag. 0.40E+00 3.8 0.00000338 -31.2978856247 1.34E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842862 + Hartree energy: 42.4117280244 + Exchange-correlation energy: -9.7142583112 + Coulomb (electron-electron) energy: 2.5271711503 + Maximum deviation from MO S-orthonormality 0.2442E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 6 Broy./Diag. 0.40E+00 3.8 0.00000044 -31.2978854256 1.99E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842859 + Hartree energy: 42.4117280984 + Exchange-correlation energy: -9.7142583173 + Coulomb (electron-electron) energy: 2.5271711564 + Maximum deviation from MO S-orthonormality 0.1776E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 7 Broy./Diag. 0.40E+00 3.7 0.00000021 -31.2978853580 6.76E-08 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842858 + Hartree energy: 42.4117280989 + Exchange-correlation energy: -9.7142583173 + Coulomb (electron-electron) energy: 2.5271711564 + Maximum deviation from MO S-orthonormality 0.2449E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 8 Broy./Diag. 0.40E+00 3.7 2.8968E-09 -31.2978853577 2.76E-10 + + *** SCF run converged in 8 steps *** + + + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + Overlap energy of the core charge distribution: 0.00000000005320 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06858428578018 + Hartree energy: 42.41172809888455 + Exchange-correlation energy: -9.71425831733843 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52717115643126 + + Total energy: -31.29788535774870 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 0.000000 + 2 Si 1 4.000000 -0.000000 + 3 Si 1 4.000000 -0.000000 + 4 Si 1 4.000000 -0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 -0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31525593203536 + + + LOWDIN POPULATION ANALYSIS + + *** 15:34:49 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si -0.000000 + 2 Si -0.000000 + 3 Si -0.000000 + 4 Si -0.000000 + 5 Si -0.000000 + 6 Si 0.000000 + 7 Si -0.000000 + 8 Si -0.000000 + Total -0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= 0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08474943 0.00000000 0.00000000 ] [i] + [Y]=[ 0.00000000 26.08474943 0.00000000 ]*[j] + [Z] [ -0.00254175 0.00000000 26.08474943 ] [k] + Dipole moment [Debye] + X= 0.00000000 Y= 0.00000000 Z= 0.00000000 Total= 0.00000000 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24280735 -0.09105270 -0.09103786 -0.09103786 + -0.09103785 -0.09103785 -0.09102301 0.09083495 + 0.09085421 0.09085421 0.09085422 0.09085422 + 0.09087348 0.20027770 0.20028206 0.20028642 + Fermi Energy [eV] : 5.450071 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842858 + Hartree energy: 42.4117280990 + Exchange-correlation energy: -9.7142583174 + Coulomb (electron-electron) energy: 2.5271711565 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297885357557032 + + E(zx + 0.0010) E(zx - 0.0010) f(numerical) + -31.29788536 -31.29788536 0.00000000 + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 61 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5004E-02 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 62 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2317E-01 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 63 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 64 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6255 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 61 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 62 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 63 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 64 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 3 + + B(1) = 3.000000 + B(2) = -3.428571 + B(3) = 1.928571 + B(4) = -0.571429 + B(5) = 0.071429 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685795351 + Hartree energy: 42.4117332787 + Exchange-correlation energy: -9.7142582453 + Coulomb (electron-electron) energy: 2.5271705153 + Maximum deviation from MO S-orthonormality 0.6661E-15 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 1 Broy./Diag. 0.40E+00 1.7 0.00842535 -31.2978848566 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685847157 + Hartree energy: 42.4117313030 + Exchange-correlation energy: -9.7142582800 + Coulomb (electron-electron) energy: 2.5271707739 + Maximum deviation from MO S-orthonormality 0.2887E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 2 Broy./Diag. 0.40E+00 3.9 0.00007820 -31.2978816863 3.17E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685845378 + Hartree energy: 42.4117288202 + Exchange-correlation energy: -9.7142583236 + Coulomb (electron-electron) energy: 2.5271711036 + Maximum deviation from MO S-orthonormality 0.1665E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 3 Broy./Diag. 0.40E+00 3.8 0.00009782 -31.2978843907 -2.70E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685843254 + Hartree energy: 42.4117282726 + Exchange-correlation energy: -9.7142583213 + Coulomb (electron-electron) energy: 2.5271711489 + Maximum deviation from MO S-orthonormality 0.2665E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 4 Broy./Diag. 0.40E+00 3.9 0.00002001 -31.2978851484 -7.58E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842929 + Hartree energy: 42.4117281288 + Exchange-correlation energy: -9.7142583194 + Coulomb (electron-electron) energy: 2.5271711580 + Maximum deviation from MO S-orthonormality 0.1554E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 5 Broy./Diag. 0.40E+00 3.8 0.00000414 -31.2978853228 -1.74E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842858 + Hartree energy: 42.4117281085 + Exchange-correlation energy: -9.7142583180 + Coulomb (electron-electron) energy: 2.5271711569 + Maximum deviation from MO S-orthonormality 0.3109E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 6 Broy./Diag. 0.40E+00 3.9 0.00000050 -31.2978853488 -2.60E-08 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842859 + Hartree energy: 42.4117280992 + Exchange-correlation energy: -9.7142583174 + Coulomb (electron-electron) energy: 2.5271711564 + Maximum deviation from MO S-orthonormality 0.2442E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 7 Broy./Diag. 0.40E+00 3.8 0.00000025 -31.2978853573 -8.45E-09 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842860 + Hartree energy: 42.4117280991 + Exchange-correlation energy: -9.7142583174 + Coulomb (electron-electron) energy: 2.5271711565 + Maximum deviation from MO S-orthonormality 0.1776E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 8 Broy./Diag. 0.40E+00 3.8 2.4429E-09 -31.2978853574 -7.64E-11 + + *** SCF run converged in 8 steps *** + + + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + Overlap energy of the core charge distribution: 0.00000000005320 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06858428600433 + Hartree energy: 42.41172809908346 + Exchange-correlation energy: -9.71425831737488 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52717115646934 + + Total energy: -31.29788535736209 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 0.000000 + 2 Si 1 4.000000 -0.000000 + 3 Si 1 4.000000 -0.000000 + 4 Si 1 4.000000 -0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 -0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31525593212526 + + + LOWDIN POPULATION ANALYSIS + + *** 15:35:22 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si -0.000000 + 2 Si -0.000000 + 3 Si -0.000000 + 4 Si -0.000000 + 5 Si -0.000000 + 6 Si 0.000000 + 7 Si -0.000000 + 8 Si -0.000000 + Total -0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= 0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08474943 0.00000000 0.00000000 ] [i] + [Y]=[ 0.00000000 26.08474943 0.00000000 ]*[j] + [Z] [ 0.00000000 0.00254175 26.08474943 ] [k] + Dipole moment [Debye] + X= 0.00000000 Y= 0.00000000 Z= 0.00000000 Total= 0.00000000 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24280735 -0.09105270 -0.09103786 -0.09103786 + -0.09103785 -0.09103785 -0.09102300 0.09083496 + 0.09085421 0.09085421 0.09085422 0.09085422 + 0.09087347 0.20027771 0.20028206 0.20028641 + Fermi Energy [eV] : 5.450070 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842860 + Hartree energy: 42.4117280990 + Exchange-correlation energy: -9.7142583174 + Coulomb (electron-electron) energy: 2.5271711566 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297885357549461 + + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 65 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5004E-02 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 66 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2317E-01 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 67 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 68 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6255 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 65 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 66 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 67 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 68 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 3 + + B(1) = 3.000000 + B(2) = -3.428571 + B(3) = 1.928571 + B(4) = -0.571429 + B(5) = 0.071429 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685841201 + Hartree energy: 42.4117285388 + Exchange-correlation energy: -9.7142581240 + Coulomb (electron-electron) energy: 2.5271706705 + Maximum deviation from MO S-orthonormality 0.1110E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 1 Broy./Diag. 0.40E+00 1.7 0.00702109 -31.2978848901 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685845031 + Hartree energy: 42.4117283508 + Exchange-correlation energy: -9.7142581985 + Coulomb (electron-electron) energy: 2.5271708592 + Maximum deviation from MO S-orthonormality 0.2665E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 2 Broy./Diag. 0.40E+00 3.7 0.00006517 -31.2978847697 1.20E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685844106 + Hartree energy: 42.4117281434 + Exchange-correlation energy: -9.7142582973 + Coulomb (electron-electron) energy: 2.5271711081 + Maximum deviation from MO S-orthonormality 0.2665E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 3 Broy./Diag. 0.40E+00 3.7 0.00008151 -31.2978851683 -3.99E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685843028 + Hartree energy: 42.4117281086 + Exchange-correlation energy: -9.7142583133 + Coulomb (electron-electron) energy: 2.5271711468 + Maximum deviation from MO S-orthonormality 0.2220E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 4 Broy./Diag. 0.40E+00 3.8 0.00001667 -31.2978853270 -1.59E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842886 + Hartree energy: 42.4117281002 + Exchange-correlation energy: -9.7142583171 + Coulomb (electron-electron) energy: 2.5271711558 + Maximum deviation from MO S-orthonormality 0.1776E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 5 Broy./Diag. 0.40E+00 3.7 0.00000346 -31.2978853533 -2.63E-08 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842857 + Hartree energy: 42.4117280996 + Exchange-correlation energy: -9.7142583172 + Coulomb (electron-electron) energy: 2.5271711561 + Maximum deviation from MO S-orthonormality 0.1776E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 6 Broy./Diag. 0.40E+00 3.8 0.00000041 -31.2978853571 -3.76E-09 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842859 + Hartree energy: 42.4117280992 + Exchange-correlation energy: -9.7142583173 + Coulomb (electron-electron) energy: 2.5271711564 + Maximum deviation from MO S-orthonormality 0.2665E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 7 Broy./Diag. 0.40E+00 4.0 0.00000020 -31.2978853574 -2.78E-10 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842860 + Hartree energy: 42.4117280991 + Exchange-correlation energy: -9.7142583174 + Coulomb (electron-electron) energy: 2.5271711564 + Maximum deviation from MO S-orthonormality 0.3109E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 8 Broy./Diag. 0.40E+00 3.9 2.6636E-09 -31.2978853574 -2.46E-11 + + *** SCF run converged in 8 steps *** + + + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + Overlap energy of the core charge distribution: 0.00000000005320 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06858428595842 + Hartree energy: 42.41172809910005 + Exchange-correlation energy: -9.71425831735997 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52717115642811 + + Total energy: -31.29788535737650 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 0.000000 + 2 Si 1 4.000000 -0.000000 + 3 Si 1 4.000000 -0.000000 + 4 Si 1 4.000000 -0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 -0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31525593210243 + + + LOWDIN POPULATION ANALYSIS + + *** 15:35:55 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si -0.000000 + 2 Si 0.000000 + 3 Si 0.000000 + 4 Si -0.000000 + 5 Si -0.000000 + 6 Si 0.000000 + 7 Si -0.000000 + 8 Si -0.000000 + Total -0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= 0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08474943 0.00000000 0.00000000 ] [i] + [Y]=[ 0.00000000 26.08474943 0.00000000 ]*[j] + [Z] [ 0.00000000 -0.00254175 26.08474943 ] [k] + Dipole moment [Debye] + X= 0.00000000 Y= 0.00000000 Z= 0.00000000 Total= 0.00000000 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24280735 -0.09105270 -0.09103786 -0.09103786 + -0.09103785 -0.09103785 -0.09102301 0.09083495 + 0.09085421 0.09085421 0.09085422 0.09085422 + 0.09087348 0.20027770 0.20028206 0.20028642 + Fermi Energy [eV] : 5.450071 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -32.0000000029 -0.0000000029 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: -0.0000000089 + Total charge density g-space grids: -0.0000000089 + + + Core Hamiltonian energy: 18.0685842859 + Hartree energy: 42.4117280990 + Exchange-correlation energy: -9.7142583174 + Coulomb (electron-electron) energy: 2.5271711565 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297885357557035 + + E(zy + 0.0010) E(zy - 0.0010) f(numerical) + -31.29788536 -31.29788536 0.00000000 + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 69 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5004E-02 Volume (a.u.^3) 1080.9504 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 70 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2317E-01 Volume (a.u.^3) 1080.9504 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 71 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.9504 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 72 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6255 Volume (a.u.^3) 1080.9504 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 69 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 70 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 71 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 72 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 3 + + B(1) = 3.000000 + B(2) = -3.428571 + B(3) = 1.928571 + B(4) = -0.571429 + B(5) = 0.071429 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0678430548 + Hartree energy: 42.4122282898 + Exchange-correlation energy: -9.7140446108 + Coulomb (electron-electron) energy: 2.5273192768 + Maximum deviation from MO S-orthonormality 0.8882E-15 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 1 Broy./Diag. 0.40E+00 0.9 0.00851957 -31.2979126913 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679133537 + Hartree energy: 42.4122025856 + Exchange-correlation energy: -9.7140443433 + Coulomb (electron-electron) energy: 2.5273210013 + Maximum deviation from MO S-orthonormality 0.1776E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2335E+01 + 2 Broy./Diag. 0.40E+00 1.4 0.00007900 -31.2978678291 4.49E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679118261 + Hartree energy: 42.4121698607 + Exchange-correlation energy: -9.7140439130 + Coulomb (electron-electron) energy: 2.5273230134 + Maximum deviation from MO S-orthonormality 0.3109E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2335E+01 + 3 Broy./Diag. 0.40E+00 1.4 0.00009896 -31.2979016512 -3.38E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679099763 + Hartree energy: 42.4121625469 + Exchange-correlation energy: -9.7140437036 + Coulomb (electron-electron) energy: 2.5273232247 + Maximum deviation from MO S-orthonormality 0.2442E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2335E+01 + 4 Broy./Diag. 0.40E+00 1.4 0.00002019 -31.2979106055 -8.95E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679096715 + Hartree energy: 42.4121606444 + Exchange-correlation energy: -9.7140436358 + Coulomb (electron-electron) energy: 2.5273232519 + Maximum deviation from MO S-orthonormality 0.1554E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2335E+01 + 5 Broy./Diag. 0.40E+00 1.4 0.00000411 -31.2979127449 -2.14E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679096043 + Hartree energy: 42.4121603717 + Exchange-correlation energy: -9.7140436141 + Coulomb (electron-electron) energy: 2.5273232309 + Maximum deviation from MO S-orthonormality 0.1776E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2335E+01 + 6 Broy./Diag. 0.40E+00 1.4 0.00000053 -31.2979130631 -3.18E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679096053 + Hartree energy: 42.4121602549 + Exchange-correlation energy: -9.7140436046 + Coulomb (electron-electron) energy: 2.5273232217 + Maximum deviation from MO S-orthonormality 0.2442E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2335E+01 + 7 Broy./Diag. 0.40E+00 1.4 0.00000025 -31.2979131695 -1.06E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679096056 + Hartree energy: 42.4121602541 + Exchange-correlation energy: -9.7140436046 + Coulomb (electron-electron) energy: 2.5273232218 + Maximum deviation from MO S-orthonormality 0.2220E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2335E+01 + 8 Broy./Diag. 0.40E+00 1.4 2.7558E-09 -31.2979131700 -4.88E-10 + + *** SCF run converged in 8 steps *** + + + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + Overlap energy of the core charge distribution: 0.00000000005310 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06790960562200 + Hartree energy: 42.41216025408416 + Exchange-correlation energy: -9.71404360462534 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52732322182539 + + Total energy: -31.29791316999428 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 -0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31470571648747 + + + LOWDIN POPULATION ANALYSIS + + *** 15:36:08 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si -0.000000 + 2 Si 0.000000 + 3 Si 0.000000 + 4 Si 0.000000 + 5 Si 0.000000 + 6 Si 0.000000 + 7 Si 0.000000 + 8 Si 0.000000 + Total 0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= 0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08474943 0.00000000 0.00000000 ] [i] + [Y]=[ 0.00000000 26.08474943 0.00000000 ]*[j] + [Z] [ 0.00000000 0.00000000 26.08729118 ] [k] + Dipole moment [Debye] + X= -0.00000000 Y= -0.00000000 Z= -0.00000000 Total= 0.00000001 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24281697 -0.09107454 -0.09107453 -0.09105289 + -0.09105289 -0.09105288 -0.09105288 0.09082051 + 0.09082051 0.09082051 0.09082051 0.09084796 + 0.09084796 0.20023178 0.20025568 0.20025569 + Fermi Energy [eV] : 5.449234 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999882 0.0000000118 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000058 + Total charge density g-space grids: 0.0000000058 + + + Core Hamiltonian energy: 18.0679096055 + Hartree energy: 42.4121602536 + Exchange-correlation energy: -9.7140436046 + Coulomb (electron-electron) energy: 2.5273232220 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297913170676384 + + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 73 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5003E-02 Volume (a.u.^3) 1080.7397 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 74 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2316E-01 Volume (a.u.^3) 1080.7397 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 75 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.7397 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 76 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6254 Volume (a.u.^3) 1080.7397 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 73 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 74 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 75 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 76 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 3 + + B(1) = 3.000000 + B(2) = -3.428571 + B(3) = 1.928571 + B(4) = -0.571429 + B(5) = 0.071429 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000059 + Total charge density g-space grids: 0.0000000059 + + + Core Hamiltonian energy: 18.0695283166 + Hartree energy: 42.4110230791 + Exchange-correlation energy: -9.7144690721 + Coulomb (electron-electron) energy: 2.5270349680 + Maximum deviation from MO S-orthonormality 0.1110E-14 + Minimum/Maximum MO magnitude 0.5686E+00 0.2335E+01 + 1 Broy./Diag. 0.40E+00 0.8 0.00767726 -31.2978571015 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692440976 + Hartree energy: 42.4111260756 + Exchange-correlation energy: -9.7144700891 + Coulomb (electron-electron) energy: 2.5270279116 + Maximum deviation from MO S-orthonormality 0.1554E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 2 Broy./Diag. 0.40E+00 1.4 0.00006522 -31.2980393410 -1.82E-04 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692502384 + Hartree energy: 42.4112580417 + Exchange-correlation energy: -9.7144718067 + Coulomb (electron-electron) energy: 2.5270197508 + Maximum deviation from MO S-orthonormality 0.1332E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 3 Broy./Diag. 0.40E+00 1.4 0.00008217 -31.2979029516 1.36E-04 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692577144 + Hartree energy: 42.4112872247 + Exchange-correlation energy: -9.7144726564 + Coulomb (electron-electron) energy: 2.5270189382 + Maximum deviation from MO S-orthonormality 0.1804E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 4 Broy./Diag. 0.40E+00 1.4 0.00001661 -31.2978671423 3.58E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692589212 + Hartree energy: 42.4112944075 + Exchange-correlation energy: -9.7144729200 + Coulomb (electron-electron) energy: 2.5270188514 + Maximum deviation from MO S-orthonormality 0.1554E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 5 Broy./Diag. 0.40E+00 1.4 0.00000313 -31.2978590163 8.13E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692591694 + Hartree energy: 42.4112954392 + Exchange-correlation energy: -9.7144730090 + Coulomb (electron-electron) energy: 2.5270189451 + Maximum deviation from MO S-orthonormality 0.2442E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 6 Broy./Diag. 0.40E+00 1.4 0.00000053 -31.2978578255 1.19E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692591600 + Hartree energy: 42.4112958048 + Exchange-correlation energy: -9.7144730411 + Coulomb (electron-electron) energy: 2.5270189790 + Maximum deviation from MO S-orthonormality 0.1839E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 7 Broy./Diag. 0.40E+00 1.4 0.00000020 -31.2978575013 3.24E-07 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692591568 + Hartree energy: 42.4112958094 + Exchange-correlation energy: -9.7144730412 + Coulomb (electron-electron) energy: 2.5270189787 + Maximum deviation from MO S-orthonormality 0.1998E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2337E+01 + 8 Broy./Diag. 0.40E+00 1.4 2.1742E-09 -31.2978575000 1.37E-09 + + *** SCF run converged in 8 steps *** + + + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + Overlap energy of the core charge distribution: 0.00000000005329 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06925915683703 + Hartree energy: 42.41129580942435 + Exchange-correlation energy: -9.71447304116598 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52701897867321 + + Total energy: -31.29785749997950 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 -0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31580625261593 + + + LOWDIN POPULATION ANALYSIS + + *** 15:36:20 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si -0.000000 + 2 Si -0.000000 + 3 Si -0.000000 + 4 Si -0.000000 + 5 Si 0.000000 + 6 Si 0.000000 + 7 Si 0.000000 + 8 Si 0.000000 + Total 0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= 0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08474943 0.00000000 0.00000000 ] [i] + [Y]=[ 0.00000000 26.08474943 0.00000000 ]*[j] + [Z] [ 0.00000000 0.00000000 26.08220769 ] [k] + Dipole moment [Debye] + X= -0.00000000 Y= -0.00000000 Z= -0.00000000 Total= 0.00000000 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24279774 -0.09102282 -0.09102282 -0.09102281 + -0.09102281 -0.09100116 -0.09100115 0.09086047 + 0.09086047 0.09088793 0.09088793 0.09088794 + 0.09088794 0.20030844 0.20030845 0.20033235 + Fermi Energy [eV] : 5.451320 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999880 0.0000000120 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000060 + Total charge density g-space grids: 0.0000000060 + + + Core Hamiltonian energy: 18.0692591575 + Hartree energy: 42.4112958133 + Exchange-correlation energy: -9.7144730412 + Coulomb (electron-electron) energy: 2.5270189783 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297857495588431 + + E(zz + 0.0010) E(zz - 0.0010) f(numerical) + -31.29791317 -31.29785750 -0.02783754 + + ------------------------------------------------------------------------------- + ---- MULTIGRID INFO ---- + ------------------------------------------------------------------------------- + count for grid 1: 360 cutoff [a.u.] 150.00 + count for grid 2: 4524 cutoff [a.u.] 50.00 + count for grid 3: 7820 cutoff [a.u.] 16.67 + count for grid 4: 3064 cutoff [a.u.] 5.56 + total gridlevel count : 15768 + + PW_GRID| Information for grid number 77 + PW_GRID| Cutoff [a.u.] 150.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -30 29 Points: 60 + PW_GRID| Bounds 2 -30 29 Points: 60 + PW_GRID| Bounds 3 -30 29 Points: 60 + PW_GRID| Volume element (a.u.^3) 0.5004E-02 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 78 + PW_GRID| Cutoff [a.u.] 50.0 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -18 17 Points: 36 + PW_GRID| Bounds 2 -18 17 Points: 36 + PW_GRID| Bounds 3 -18 17 Points: 36 + PW_GRID| Volume element (a.u.^3) 0.2317E-01 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 79 + PW_GRID| Cutoff [a.u.] 16.7 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -10 9 Points: 20 + PW_GRID| Bounds 2 -10 9 Points: 20 + PW_GRID| Bounds 3 -10 9 Points: 20 + PW_GRID| Volume element (a.u.^3) 0.1351 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + PW_GRID| Information for grid number 80 + PW_GRID| Cutoff [a.u.] 5.6 + PW_GRID| spherical cutoff: NO + PW_GRID| Bounds 1 -6 5 Points: 12 + PW_GRID| Bounds 2 -6 5 Points: 12 + PW_GRID| Bounds 3 -6 5 Points: 12 + PW_GRID| Volume element (a.u.^3) 0.6255 Volume (a.u.^3) 1080.8451 + PW_GRID| Grid span FULLSPACE + + POISSON| Solver PERIODIC + POISSON| Periodicity XYZ + + RS_GRID| Information for grid number 77 + RS_GRID| Bounds 1 -30 29 Points: 60 + RS_GRID| Bounds 2 -30 29 Points: 60 + RS_GRID| Bounds 3 -30 29 Points: 60 + + RS_GRID| Information for grid number 78 + RS_GRID| Bounds 1 -18 17 Points: 36 + RS_GRID| Bounds 2 -18 17 Points: 36 + RS_GRID| Bounds 3 -18 17 Points: 36 + + RS_GRID| Information for grid number 79 + RS_GRID| Bounds 1 -10 9 Points: 20 + RS_GRID| Bounds 2 -10 9 Points: 20 + RS_GRID| Bounds 3 -10 9 Points: 20 + + RS_GRID| Information for grid number 80 + RS_GRID| Bounds 1 -6 5 Points: 12 + RS_GRID| Bounds 2 -6 5 Points: 12 + RS_GRID| Bounds 3 -6 5 Points: 12 + + DISTRIBUTION OF THE NEIGHBOR LISTS + Total number of particle pairs: 2952 + Total number of matrix elements: 498888 + Average number of particle pairs: 2952 + Maximum number of particle pairs: 2952 + Average number of matrix element: 498888 + Maximum number of matrix elements: 498888 + + + DISTRIBUTION OF THE OVERLAP MATRIX + Number of non-zero blocks: 36 + Percentage non-zero blocks: 100.00 + Average number of blocks per CPU: 36 + Maximum number of blocks per CPU: 36 + Average number of matrix elements per CPU: 6094 + Maximum number of matrix elements per CPU: 6094 + + Initializing the DDAPC Environment + + Number of electrons: 32 + Number of occupied orbitals: 16 + Number of molecular orbitals: 16 + + Number of orbital functions: 104 + Number of independent orbital functions: 104 + + Parameters for the always stable predictor-corrector (ASPC) method: + + ASPC order: 3 + + B(1) = 3.000000 + B(2) = -3.428571 + B(3) = 1.928571 + B(4) = -0.571429 + B(5) = 0.071429 + + Extrapolation method: ASPC + + + SCF WAVEFUNCTION OPTIMIZATION + + Step Update method Time Convergence Total energy Change + ------------------------------------------------------------------------------ + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999889 0.0000000111 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000051 + Total charge density g-space grids: 0.0000000051 + + + Core Hamiltonian energy: 18.0681548793 + Hartree energy: 42.4121646204 + Exchange-correlation energy: -9.7142651080 + Coulomb (electron-electron) energy: 2.5271465370 + Maximum deviation from MO S-orthonormality 0.1110E-14 + Minimum/Maximum MO magnitude 0.5690E+00 0.2340E+01 + 1 Broy./Diag. 0.40E+00 0.8 0.01233847 -31.2978850334 -3.13E+01 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999889 0.0000000111 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000051 + Total charge density g-space grids: 0.0000000051 + + + Core Hamiltonian energy: 18.0686079917 + Hartree energy: 42.4119997823 + Exchange-correlation energy: -9.7142632926 + Coulomb (electron-electron) energy: 2.5271574041 + Maximum deviation from MO S-orthonormality 0.3331E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 2 Broy./Diag. 0.40E+00 1.4 0.00003042 -31.2975949437 2.90E-04 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999889 0.0000000111 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000051 + Total charge density g-space grids: 0.0000000051 + + + Core Hamiltonian energy: 18.0685983339 + Hartree energy: 42.4117781693 + Exchange-correlation energy: -9.7142601836 + Coulomb (electron-electron) energy: 2.5271706018 + Maximum deviation from MO S-orthonormality 0.2220E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 3 Broy./Diag. 0.40E+00 1.4 0.00004021 -31.2978231055 -2.28E-04 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999889 0.0000000111 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000051 + Total charge density g-space grids: 0.0000000051 + + + Core Hamiltonian energy: 18.0685859907 + Hartree energy: 42.4117371585 + Exchange-correlation energy: -9.7142588277 + Coulomb (electron-electron) energy: 2.5271713984 + Maximum deviation from MO S-orthonormality 0.2998E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 4 Broy./Diag. 0.40E+00 1.4 0.00000685 -31.2978751036 -5.20E-05 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999889 0.0000000111 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000051 + Total charge density g-space grids: 0.0000000051 + + + Core Hamiltonian energy: 18.0685844462 + Hartree energy: 42.4117292942 + Exchange-correlation energy: -9.7142584790 + Coulomb (electron-electron) energy: 2.5271713668 + Maximum deviation from MO S-orthonormality 0.1443E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 5 Broy./Diag. 0.40E+00 1.4 0.00000086 -31.2978841636 -9.06E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999889 0.0000000111 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000051 + Total charge density g-space grids: 0.0000000051 + + + Core Hamiltonian energy: 18.0685842293 + Hartree energy: 42.4117283111 + Exchange-correlation energy: -9.7142583458 + Coulomb (electron-electron) energy: 2.5271711775 + Maximum deviation from MO S-orthonormality 0.1554E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 6 Broy./Diag. 0.40E+00 1.4 0.00000041 -31.2978852305 -1.07E-06 + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999889 0.0000000111 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000051 + Total charge density g-space grids: 0.0000000051 + + + Core Hamiltonian energy: 18.0685842803 + Hartree energy: 42.4117281001 + Exchange-correlation energy: -9.7142583169 + Coulomb (electron-electron) energy: 2.5271711366 + Maximum deviation from MO S-orthonormality 0.2220E-14 + Minimum/Maximum MO magnitude 0.5688E+00 0.2336E+01 + 7 Broy./Diag. 0.40E+00 1.4 0.00000009 -31.2978853615 -1.31E-07 + + *** SCF run converged in 7 steps *** + + + Electronic density on regular grids: -31.9999999889 0.0000000111 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000051 + Total charge density g-space grids: 0.0000000051 + + Overlap energy of the core charge distribution: 0.00000000005320 + Self energy of the core charge distribution: -82.06393942512820 + Core Hamiltonian energy: 18.06858428031992 + Hartree energy: 42.41172810014152 + Exchange-correlation energy: -9.71425831690866 + Coulomb Electron-Electron Interaction Energy + - Already included in the total Hartree term 2.52717113659637 + + Total energy: -31.29788536152222 + + The electron density is written in cube file format to the file: + + Si_bulk8-ELECTRON_DENSITY-1_0.cube + + + MULLIKEN POPULATION ANALYSIS + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 0.000000 + 6 Si 1 4.000000 -0.000000 + 7 Si 1 4.000000 0.000000 + 8 Si 1 4.000000 0.000000 + # Total charge 32.000000 0.000000 + + + !-----------------------------------------------------------------------------! + Hirschfeld Charges + + #Atom Element Kind Ref Charge Population Net charge + 1 Si 1 4.000 4.000 -0.000 + 2 Si 1 4.000 4.000 -0.000 + 3 Si 1 4.000 4.000 -0.000 + 4 Si 1 4.000 4.000 -0.000 + 5 Si 1 4.000 4.000 -0.000 + 6 Si 1 4.000 4.000 0.000 + 7 Si 1 4.000 4.000 -0.000 + 8 Si 1 4.000 4.000 -0.000 + + Total Charge -0.000 + !-----------------------------------------------------------------------------! + Electronic kinetic energy: 13.31525592094865 + + + LOWDIN POPULATION ANALYSIS + + *** 15:36:31 WARNING in population_analyses:lowdin_population_analysis :: *** + *** Overlap matrix exhibits linear dependencies. At least some *** + *** eigenvalues have been quenched. *** + + + # Atom Element Kind Atomic population Net charge + 1 Si 1 4.000000 -0.000000 + 2 Si 1 4.000000 0.000000 + 3 Si 1 4.000000 0.000000 + 4 Si 1 4.000000 0.000000 + 5 Si 1 4.000000 -0.000000 + 6 Si 1 4.000000 0.000000 + 7 Si 1 4.000000 -0.000000 + 8 Si 1 4.000000 -0.000000 + # Total charge 32.000000 0.000000 + + DDAP FULL DENSITY charges: + Atom | Charge + + 1 Si -0.000000 + 2 Si 0.000000 + 3 Si 0.000000 + 4 Si 0.000000 + 5 Si 0.000000 + 6 Si 0.000000 + 7 Si 0.000000 + 8 Si 0.000000 + Total 0.000000 + + + ELECTRIC/MAGNETIC MOMENTS + Reference Point [Bohr] 0.00000000 0.00000000 0.00000000 + Charges + Electronic= 32.00000000 Core= -32.00000000 Total= -0.00000000 + Dipole vectors are based on the periodic (Berry phase) operator. + They are defined modulo integer multiples of the cell matrix [Debye]. + [X] [ 26.08474943 0.00000000 0.00000000 ] [i] + [Y]=[ 0.00000000 26.08474943 0.00000000 ]*[j] + [Z] [ 0.00000000 0.00000000 26.08474943 ] [k] + Dipole moment [Debye] + X= -0.00000003 Y= -0.00000003 Z= -0.00000002 Total= 0.00000004 + + Eigenvalues of the occupied subspace spin 1 + --------------------------------------------- + -0.24280735 -0.09103786 -0.09103786 -0.09103786 + -0.09103785 -0.09103785 -0.09103785 0.09085421 + 0.09085421 0.09085421 0.09085422 0.09085422 + 0.09085422 0.20028206 0.20028206 0.20028207 + Fermi Energy [eV] : 5.449952 + + Lowest eigenvalues of the unoccupied subspace spin 1 + --------------------------------------------- + + + Trace(PS): 32.0000000000 + Electronic density on regular grids: -31.9999999889 0.0000000111 + Core density on regular grids: 31.9999999939 -0.0000000061 + Total charge density on r-space grids: 0.0000000051 + Total charge density g-space grids: 0.0000000051 + + + Core Hamiltonian energy: 18.0685842906 + Hartree energy: 42.4117280779 + Exchange-correlation energy: -9.7142583163 + Coulomb (electron-electron) energy: 2.5271711378 + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297885372811063 + + + **************************** NUMERICAL STRESS END ***************************** + + ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.): -31.297885372811063 @@ -1051,13 +7732,25 @@ 8 1 Si -0.00000001 -0.00000001 -0.00000001 SUM OF ATOMIC FORCES -0.00000000 -0.00000000 -0.00000000 0.00000000 + NUMERICAL STRESS TENSOR [GPa] + + X Y Z + X 7.77641684 -0.00000106 -0.00000106 + Y -0.00000106 7.77641703 -0.00000106 + Z -0.00000106 -0.00000106 7.77641703 + + 1/3 Trace(stress tensor): 7.77641697E+00 + + Det(stress tensor) : 4.70260626E+02 - ************************************************************************* - *** WARNING in force_env_calc_energy_force (MODULE force_env_methods) *** - ************************************************************************* - *** To print the stress tensor switch on the virial evaluation with the *** - *** keyword: STRESS_TENSOR *** + EIGENVECTORS AND EIGENVALUES OF THE STRESS TENSOR + + 7.77641485 7.77641797 7.77641809 + + 0.60042815 -0.79967815 0.00094549 + 0.56554741 0.42379757 -0.70749682 + 0.56536905 0.42533573 0.70671590 ------------------------------------------------------------------------------- - - @@ -1065,15 +7758,15 @@ - - ------------------------------------------------------------------------------- COUNTER CPU ACC ACC% - number of processed stacks 29 0 0.0 + number of processed stacks 552 0 0.0 matmuls inhomo. stacks 0 0 0.0 - matmuls total 1676 0 0.0 - flops 13 x 8 x 13 173056 0 0.0 - flops 13 x 32 x 13 2076672 0 0.0 - flops 13 x 13 x 16 2141568 0 0.0 - flops 13 x 16 x 13 5537792 0 0.0 - flops total 9929088 0 0.0 - marketing flops 11594752 + matmuls total 33044 0 0.0 + flops 13 x 8 x 13 3461120 0 0.0 + flops 13 x 13 x 16 33681024 0 0.0 + flops 13 x 32 x 13 41533440 0 0.0 + flops 13 x 16 x 13 117331968 0 0.0 + flops total 196007552 0 0.0 + marketing flops 222203904 ------------------------------------------------------------------------------- ------------------------------------------------------------------------------- @@ -1092,15 +7785,15 @@ ------------------------------------------------------------------------------- ROUTINE CALLS TOT TIME [s] AVE VOLUME [Bytes] PERFORMANCE [MB/s] - MP_Group 5 0.000 - MP_Bcast 15 0.010 7. 0.01 - MP_Allreduce 256 0.000 52. 45.82 - MP_Sync 6308 0.000 - MP_Alltoall 462 0.000 11970. 11741.11 - MP_Wait 672 0.000 - MP_ISend 224 0.001 37354. 6126.00 - MP_IRecv 224 0.000 37354. 17942.46 - MP_Memory 604 0.000 + MP_Group 81 0.000 + MP_Bcast 158 0.001 4. 0.64 + MP_Allreduce 3181 0.004 53. 44.09 + MP_Sync 126084 0.008 + MP_Alltoall 8659 0.008 11498. 11862.63 + MP_Wait 12768 0.004 + MP_ISend 4256 0.017 39939. 9800.83 + MP_IRecv 4256 0.009 39939. 18018.53 + MP_Memory 11332 0.007 ------------------------------------------------------------------------------- @@ -1146,6 +7839,12 @@ http://dx.doi.org/10.1109/JPROC.2004.840301 + Kolafa, J. + JOURNAL OF COMPUTATIONAL CHEMISTRY, 25 (3), 335-342 (2004). + Time-reversible always stable predictor-corrector method for molecular dynamics of polarizable molecules. + http://dx.doi.org/10.1002/jcc.10385 + + Hartwigsen, C; Goedecker, S; Hutter, J. PHYSICAL REVIEW B, 58 (7), 3641-3662 (1998). Relativistic separable dual-space Gaussian pseudopotentials from H to Rn. @@ -1171,34 +7870,27 @@ ------------------------------------------------------------------------------- SUBROUTINE CALLS ASD SELF TIME TOTAL TIME MAXIMUM AVERAGE MAXIMUM AVERAGE MAXIMUM - CP2K 1 1.0 0.048 0.048 17.498 17.498 - qs_forces 1 2.0 0.002 0.002 17.036 17.036 - qs_energies_scf 1 3.0 0.016 0.016 15.328 15.328 - scf_env_do_scf 1 4.0 0.000 0.000 13.772 13.772 - scf_env_do_scf_inner_loop 10 5.0 0.013 0.013 13.772 13.772 - rebuild_ks_matrix 11 6.7 0.000 0.000 9.067 9.067 - qs_ks_build_kohn_sham_matrix 11 7.7 0.003 0.003 9.067 9.067 - sum_up_and_integrate 11 8.7 0.003 0.003 8.708 8.708 - integrate_v_rspace 11 9.7 8.581 8.581 8.705 8.705 - qs_ks_update_qs_env 10 6.0 0.000 0.000 8.001 8.001 - qs_rho_update_rho 11 6.0 0.000 0.000 5.950 5.950 - calculate_rho_elec 11 7.0 5.713 5.713 5.950 5.950 - qs_ks_update_qs_env_forces 1 3.0 0.000 0.000 1.067 1.067 - init_scf_run 1 4.0 0.001 0.001 0.740 0.740 - scf_env_initial_rho_setup 1 5.0 0.001 0.001 0.681 0.681 - build_core_hamiltonian_matrix_ 1 3.0 0.000 0.000 0.640 0.640 - fft_wrap_pw1pw2 132 9.6 0.001 0.001 0.605 0.605 - fft_wrap_pw1pw2_150 63 9.8 0.033 0.033 0.558 0.558 - fft3d_s 133 11.5 0.383 0.383 0.450 0.450 - scf_post_calculation_gpw 1 4.0 0.000 0.000 0.447 0.447 - quickstep_create_force_env 1 2.0 0.069 0.069 0.353 0.353 - qs_energies_init_hamiltonians 1 4.0 0.000 0.000 0.351 0.351 + CP2K 1 1.0 0.005 0.005 484.119 484.119 + qs_energies_scf 20 2.0 0.001 0.001 481.102 481.102 + scf_env_do_scf 20 3.0 0.001 0.001 437.601 437.601 + scf_env_do_scf_inner_loop 153 4.1 0.014 0.014 437.599 437.599 + qs_rho_update_rho 173 5.2 0.001 0.001 250.692 250.692 + calculate_rho_elec 173 6.2 246.940 246.940 250.691 250.691 + rebuild_ks_matrix 173 5.8 0.000 0.000 212.322 212.322 + qs_ks_build_kohn_sham_matrix 173 6.8 0.032 0.032 212.321 212.321 + qs_ks_update_qs_env 172 4.8 0.002 0.002 211.245 211.245 + sum_up_and_integrate 154 8.1 0.050 0.050 206.966 206.966 + integrate_v_rspace 154 9.1 205.181 205.181 206.916 206.916 + init_scf_run 20 3.0 0.002 0.002 29.407 29.407 + scf_env_initial_rho_setup 20 4.0 0.000 0.000 29.391 29.391 + wfi_extrapolate 20 5.0 0.002 0.002 28.197 28.197 + qs_forces 1 2.0 0.000 0.000 17.093 17.093 ------------------------------------------------------------------------------- - **** **** ****** ** PROGRAM ENDED AT 2016-04-21 11:17:18.146 + **** **** ****** ** PROGRAM ENDED AT 2016-05-09 15:36:31.456 ***** ** *** *** ** PROGRAM RAN ON lauri-Lenovo-Z50-70 ** **** ****** PROGRAM RAN BY lauri - ***** ** ** ** ** PROGRAM PROCESS ID 9923 + ***** ** ** ** ** PROGRAM PROCESS ID 11416 **** ** ******* ** PROGRAM STOPPED IN /home/lauri/Dropbox/nomad-dev/nomad-l ab-base/parsers/cp2k/test/unittests/c p2k_2.6.2/energy_force diff --git a/test/unittests/cp2k_2.6.2/run_tests.py b/test/unittests/cp2k_2.6.2/run_tests.py index e3289f6..81f8ec7 100644 --- a/test/unittests/cp2k_2.6.2/run_tests.py +++ b/test/unittests/cp2k_2.6.2/run_tests.py @@ -237,9 +237,9 @@ class TestEnergyForce(unittest.TestCase): self.assertTrue(np.array_equal(result[0], expected_result)) def test_energy_total(self): - energy_total = self.results["energy_total"] + result = self.results["energy_total"] expected_result = convert_unit(np.array(-31.297885372811063), "hartree") - self.assertTrue(np.array_equal(energy_total, expected_result)) + self.assertTrue(np.array_equal(result, expected_result)) def test_electronic_kinetic_energy(self): result = self.results["electronic_kinetic_energy"] @@ -287,27 +287,27 @@ class TestEnergyForce(unittest.TestCase): self.assertTrue(np.array_equal(atom_position[-1, :], expected_position)) def test_cp2k_filenames(self): - input_filename = self.results["cp2k_input_filename"] + input_filename = self.results["x_cp2k_input_filename"] expected_input = "si_bulk8.inp" self.assertTrue(input_filename, expected_input) - bs_filename = self.results["cp2k_basis_set_filename"] + bs_filename = self.results["x_cp2k_basis_set_filename"] expected_bs = "../BASIS_SET" self.assertEqual(bs_filename, expected_bs) - geminal_filename = self.results["cp2k_geminal_filename"] + geminal_filename = self.results["x_cp2k_geminal_filename"] expected_geminal = "BASIS_GEMINAL" self.assertEqual(geminal_filename, expected_geminal) - potential_filename = self.results["cp2k_potential_filename"] + potential_filename = self.results["x_cp2k_potential_filename"] expected_potential = "../GTH_POTENTIALS" self.assertEqual(potential_filename, expected_potential) - mm_potential_filename = self.results["cp2k_mm_potential_filename"] + mm_potential_filename = self.results["x_cp2k_mm_potential_filename"] expected_mm_potential = "MM_POTENTIAL" self.assertEqual(mm_potential_filename, expected_mm_potential) - coordinate_filename = self.results["cp2k_coordinate_filename"] + coordinate_filename = self.results["x_cp2k_coordinate_filename"] expected_coordinate = "__STD_INPUT__" self.assertEqual(coordinate_filename, expected_coordinate) @@ -335,6 +335,18 @@ class TestEnergyForce(unittest.TestCase): result = self.results["single_configuration_calculation_to_system_description_ref"] self.assertEqual(result, 0) + def test_stress_tensor(self): + result = self.results["stress_tensor_value"] + expected_result = convert_unit( + np.array([ + [7.77641684, -0.00000106, -0.00000106], + [-0.00000106, 7.77641703, -0.00000106], + [-0.00000106, -0.00000106, 7.77641703], + ]), + "GPa" + ) + self.assertTrue(np.array_equal(result, expected_result)) + #=============================================================================== if __name__ == '__main__': pass -- GitLab