"This tutorial shows how to find descriptive parameters (short formulas) that predict crystal structure, using the example of octet binary compounds that have either rocksalt (RS) or zincblende (ZB) structure. It is based on</div>",
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@@ -63,11 +63,11 @@
"result": {
"type": "BeakerDisplay",
"innertype": "Html",
"object": "<script>\nvar beaker = bkHelper.getBeakerObject().beakerObj;\n</script>\n<label style=\"text-align: left; color: #20335d; font-weight: 900; font-size: 18pt; padding-top: 2em;\">\n Predicting energy differences between crystal structures I (large feature space):</label><br><label style=\"color: #20335d;font-weight: 900; font-size: 15pt;\"> Octet-binary zincblende vs. rocksalt semiconductors</label>\n <p></p>\n <p style=\"font-size: 15px;\">Angelo Ziletti, Ankit Kariryaa, Emre Ahmetcik, Fawzi Mohamed, Luca Ghiringhelli, and Matthias Scheffler <span style=\"font-size: smaller;\">[version 2017-01-26]</span></p>\n \n<div style=\"padding-top: 1em;\">\nThis tutorial shows how to find descriptive parameters (short formulas) that predict crystal structure, using the example of octet binary compounds that have either rocksalt (RS) or zincblende (ZB) structure. It is based on</div>\n<div style=\"padding: 1ex; margin-top: 1ex; margin-bottom: 1ex; border-style: dotted; border-width: 1pt; border-color: blue; border-radius: 3px;\">\nL. M. Ghiringhelli, J. Vybiral, S. V. Levchenko, C. Draxl, M. Scheffler: <span style=\"font-style: italic;\">Big Data of Materials Science: Critical Role of the Descriptor</span>, Phys. Rev. Lett. 114, 105503 (2015) <a href=\"http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.114.105503\">[PDF]</a>\n</div>\n<div>\nClick on \"Run\" below to reproduce results from this publication; click \"Background\" for an explanation of the approach; or, modify \"Settings\" to produce your own results.\n</div>\n<div style=\"padding-top: 2ex;\">\n<span style=\"font-weight: bold;\">Idea: </span> Starting from simple physical quantities (\"building blocks\", here properties of the constituent free atoms such as orbital radii), thousands of candidate formulas are generated by applying arithmetic operations combining building blocks, for example forming sums and products of them. Then, a sparse regression method is used to select only a few of these formulas that explain the data.\n</div>"
"object": "<script>\nvar beaker = bkHelper.getBeakerObject().beakerObj;\n</script>\n<label style=\"text-align: left; color: #20335d; font-weight: 900; font-size: 18pt; padding-top: 2em;\">\n Predicting energy differences between crystal structures I (large feature space):</label><br><label style=\"color: #20335d;font-weight: 900; font-size: 15pt;\"> Octet-binary zincblende vs. rocksalt semiconductors</label>\n <p></p>\n <p style=\"font-size: 15px;\">Angelo Ziletti, Ankit Kariryaa, Emre Ahmetcik, Fawzi Mohamed, Luca Ghiringhelli, and Matthias Scheffler <span style=\"font-size: smaller;\">[version 2017-01-27]</span></p>\n \n<div style=\"padding-top: 1em;\">\nThis tutorial shows how to find descriptive parameters (short formulas) that predict crystal structure, using the example of octet binary compounds that have either rocksalt (RS) or zincblende (ZB) structure. It is based on</div>\n<div style=\"padding: 1ex; margin-top: 1ex; margin-bottom: 1ex; border-style: dotted; border-width: 1pt; border-color: blue; border-radius: 3px;\">\nL. M. Ghiringhelli, J. Vybiral, S. V. Levchenko, C. Draxl, M. Scheffler: <span style=\"font-style: italic;\">Big Data of Materials Science: Critical Role of the Descriptor</span>, Phys. Rev. Lett. 114, 105503 (2015) <a href=\"http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.114.105503\">[PDF]</a>\n</div>\n<div>\nClick on \"Run\" below to reproduce results from this publication; click \"Background\" for an explanation of the approach; or, modify \"Settings\" to produce your own results.\n</div>\n<div style=\"padding-top: 2ex;\">\n<span style=\"font-weight: bold;\">Idea: </span> Starting from simple physical quantities (\"building blocks\", here properties of the constituent free atoms such as orbital radii), thousands of candidate formulas are generated by applying arithmetic operations combining building blocks, for example forming sums and products of them. Then, a sparse regression method is used to select only a few of these formulas that explain the data.\n</div>"
" <label class =\"col-xs-4 col-md-4 col-lg-3\"> <input type=\"checkbox\" value=\"atomic_rs_max\" CHECKED > <span title=\"Radius at which the radial probability density of the valence s orbital is maximum\"> <i>r</i><sub>s</sub> </span> </label>",
" <label class =\"col-xs-4 col-md-4 col-lg-3\"> <input type=\"checkbox\" value=\"atomic_rp_max\" CHECKED > <span title=\"Radius at which the radial probability density of the valence p orbital is maximum\"> <i>r</i><sub>p</sub> </span> </label>",
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@@ -340,7 +340,7 @@
"result": {
"type": "BeakerDisplay",
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"object": "<script>\nvar beaker = bkHelper.getBeakerObject().beakerObj;\n</script>\n<style type=\"text/css\">\n #lasso-hidden-settings-div{\n display:none;\n } \n #lasso-hidden-settings-button{\n display:none;\n } \n</style>\n<div style=\"display: none;\" class=\"lasso_control\" id=\"lasso-hidden-settings-div\">\n <div class=\"row\">\n <p class=\"lasso_selection_description\"><b>Primary features </b>\n (hover the mouse\npointer over the feature names to see a full description):</p>\n <form id=\"lasso_features_select\">\n <div class=\"lasso_form_group\">\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_ionization_potential\" checked=\"\" type=\"checkbox\"> <span title=\"Atomic ionization potential\"><i>IP</i> </span></label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_electron_affinity\" checked=\"\" type=\"checkbox\"> <span title=\"Atomic electron affinity\"> <i>EA</i></span></label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_homo\" type=\"checkbox\"> <span title=\"Energy of highest occupied molecular orbital\"><i>E</i> <sub>HOMO</sub></span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_lumo\" type=\"checkbox\"> <span title=\"Energy of lowest unoccupied molecular orbital\"> <i>E</i> <sub>LUMO</sub> </span> </label>\n \n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_rs_max\" checked=\"\" type=\"checkbox\"> <span title=\"Radius at which the radial probability density of the valence s orbital is maximum\"> <i>r</i><sub>s</sub> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_rp_max\" checked=\"\" type=\"checkbox\"> <span title=\"Radius at which the radial probability density of the valence p orbital is maximum\"> <i>r</i><sub>p</sub> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_rd_max\" checked=\"\" type=\"checkbox\"> <span title=\"Radius at which the radial probability density of the valence d orbital is maximum\"> <i>r</i><sub>d</sub> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_number\" type=\"checkbox\"> <span title=\"Atomic number\"> <i>Z</i> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_number_valence_electrons\" type=\"checkbox\"> <span title=\"Number of valence electrons\"> <i>Z</i><sub>val</sub> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"period\" type=\"checkbox\"> <span title=\"Period (in the periodic table)\"> <i>n</i> <sub>period</sub> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_r_by_2_dimer\" type=\"checkbox\"> <span title=\"Bond length of the dimer\"> <i>d</i> <sub>dimer</sub> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_electronic_binding_energy_dimer\" type=\"checkbox\"> <span title=\"Binding energy of the dimer\"> <i>E</i> <sub>b</sub> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_homo_lumo_diff\" type=\"checkbox\"> <span title=\"HOMO-LUMO gap of the dimer\"> Δ<i>E</i><sub>HL</sub> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"r_sigma\" type=\"checkbox\"> <span title=\"John-Bloch's indicator1: |rp(A) + rs(A) - rp(B) -rs(B)| \n [Phys. Rev. Lett. 33. 1095 (1974)]\"> r<sub>σ</sub> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"r_pi\" type=\"checkbox\"> <span title=\"John-Bloch's indicator2: |rp(A) - rs(A)| +| rp(B) -rs(B)| \n [Phys. Rev. Lett. 33. 1095 (1974)]\"> r<sub>π</sub> </span> </label>\n </div>\n </form>\n </div> <!-- End of row-->\n <div class=\"row\"> <!-- Start of second row-->\n <p class=\"lasso_selection_description\"><b>Allowed operations:</b> <br>\n Given features x and y, apply these operations:</p>\n <form id=\"lasso_operators_select\">\n <div class=\"lasso_form_group\">\n <label class=\"col-xs-4 col-md-4 col-lg-1\"> <input value=\"+\" checked=\"\" type=\"checkbox\"> x+y </label>\n <label class=\"col-xs-4 col-md-4 col-lg-1\"> <input value=\"-\" type=\"checkbox\"> x-y </label>\n <label class=\"col-xs-4 col-md-4 col-lg-1\"> <input value=\"|-|\" checked=\"\" type=\"checkbox\"> |x-y| </label>\n <label class=\"col-xs-4 col-md-4 col-lg-1\"> <input value=\"*\" type=\"checkbox\"> x · y </label>\n <label class=\"col-xs-4 col-md-4 col-lg-1\"> <input value=\"/\" checked=\"\" type=\"checkbox\"> x/y </label>\n <label class=\"col-xs-4 col-md-4 col-lg-1\"> <input value=\"^2\" checked=\"\" type=\"checkbox\"> x^2 </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"^3\" type=\"checkbox\"> x^3 </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"exp\" checked=\"\" type=\"checkbox\"> exp(x) </label>\n </div>\n </form>\n </div> <!-- End of row-->\n <div class=\"row\"> <!-- Start of third row-->\n <p class=\"lasso_selection_description\"><b>Optimal descriptor maximum dimension: </b> \n <select id=\"lasso_max_dim_selector\">\n <option value=\"2\"> 2D</option>\n <option value=\"3\"> 3D</option>\n <option value=\"4\"> 4D</option>\n <option value=\"5\"> 5D</option>\n </select> </p>\n </div><!-- End of row-->\n <div class=\"row\"> <!-- Start of forth row-->\n <p class=\"lasso_selection_description\"><b>Unit of measures: </b> \n <select id=\"units_select\">\n <option value=\"eV_angstrom\"> [energy]=eV; [length]=angstrom</option>\n <option value=\"J_m\"> [energy]=J; [length]=m</option>\n <option value=\"kcal/mol_angstrom\"> [energy]=kcal/mol; [length]=angstrom</option>\n </select> </p>\n </div><!-- End of row-->\n<!-- <span title=''> <img src=\"http://images.clipartpanda.com/question-purzen_Icon_with_question_mark_Vector_Clipart.png\" style=\"height: 30px; width: 30px;\"> </span> -->\n<!-- <button class=\"btn btn-default\" onclick='run_lasso()'>RUN LASSO+L0</button> -->\n<!-- <button class=\"btn btn-default\" onclick='reset_lasso()'>RESET</button> -->\n<!-- <label title=\"This button becomes active when the\nrun is finished. By clicking it, an interactive plot of the first 2\ndimensions of the optimized descriptor will be opened\"> \n <a href=\"#\" target=\"_blank\" class=\"btn btn-primary disabled\" id=\"lasso_result_button\" >View interactive 2D scatter plot</a> </label> -->\n</div>"
"object": "<script>\nvar beaker = bkHelper.getBeakerObject().beakerObj;\n</script>\n<style type=\"text/css\">\n #lasso-hidden-settings-div{\n display:none;\n } \n #lasso-hidden-settings-button{\n display:none;\n } \n</style>\n<div style=\"display: none;\" class=\"lasso_control\" id=\"lasso-hidden-settings-div\">\n <div class=\"row\">\n <p class=\"lasso_selection_description\"><b>Primary features </b>\n (hover the mouse\npointer over the feature names to see a full description):</p>\n <form id=\"lasso_features_select\">\n <div class=\"lasso_form_group\">\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_ionization_potential\" checked=\"\" type=\"checkbox\"> <span title=\"Atomic ionization potential\"><i>IP</i> </span></label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_electron_affinity\" checked=\"\" type=\"checkbox\"> <span title=\"Atomic electron affinity\"> <i>EA</i></span></label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_homo\" checked=\"\" type=\"checkbox\"> <span title=\"Energy of highest occupied molecular orbital\"><i>E</i> <sub>HOMO</sub></span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_lumo\" checked=\"\" type=\"checkbox\"> <span title=\"Energy of lowest unoccupied molecular orbital\"> <i>E</i> <sub>LUMO</sub> </span> </label>\n \n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_rs_max\" checked=\"\" type=\"checkbox\"> <span title=\"Radius at which the radial probability density of the valence s orbital is maximum\"> <i>r</i><sub>s</sub> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_rp_max\" checked=\"\" type=\"checkbox\"> <span title=\"Radius at which the radial probability density of the valence p orbital is maximum\"> <i>r</i><sub>p</sub> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_rd_max\" checked=\"\" type=\"checkbox\"> <span title=\"Radius at which the radial probability density of the valence d orbital is maximum\"> <i>r</i><sub>d</sub> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_number\" type=\"checkbox\"> <span title=\"Atomic number\"> <i>Z</i> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_number_valence_electrons\" type=\"checkbox\"> <span title=\"Number of valence electrons\"> <i>Z</i><sub>val</sub> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"period\" type=\"checkbox\"> <span title=\"Period (in the periodic table)\"> <i>n</i> <sub>period</sub> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_r_by_2_dimer\" type=\"checkbox\"> <span title=\"Bond length of the dimer\"> <i>d</i> <sub>dimer</sub> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_electronic_binding_energy_dimer\" type=\"checkbox\"> <span title=\"Binding energy of the dimer\"> <i>E</i> <sub>b</sub> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"atomic_homo_lumo_diff\" type=\"checkbox\"> <span title=\"HOMO-LUMO gap of the dimer\"> Δ<i>E</i><sub>HL</sub> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"r_sigma\" type=\"checkbox\"> <span title=\"John-Bloch's indicator1: |rp(A) + rs(A) - rp(B) -rs(B)| \n [Phys. Rev. Lett. 33. 1095 (1974)]\"> r<sub>σ</sub> </span> </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"r_pi\" type=\"checkbox\"> <span title=\"John-Bloch's indicator2: |rp(A) - rs(A)| +| rp(B) -rs(B)| \n [Phys. Rev. Lett. 33. 1095 (1974)]\"> r<sub>π</sub> </span> </label>\n </div>\n </form>\n </div> <!-- End of row-->\n <div class=\"row\"> <!-- Start of second row-->\n <p class=\"lasso_selection_description\"><b>Allowed operations:</b> <br>\n Given features x and y, apply these operations:</p>\n <form id=\"lasso_operators_select\">\n <div class=\"lasso_form_group\">\n <label class=\"col-xs-4 col-md-4 col-lg-1\"> <input value=\"+\" checked=\"\" type=\"checkbox\"> x+y </label>\n <label class=\"col-xs-4 col-md-4 col-lg-1\"> <input value=\"-\" type=\"checkbox\"> x-y </label>\n <label class=\"col-xs-4 col-md-4 col-lg-1\"> <input value=\"|-|\" checked=\"\" type=\"checkbox\"> |x-y| </label>\n <label class=\"col-xs-4 col-md-4 col-lg-1\"> <input value=\"*\" type=\"checkbox\"> x · y </label>\n <label class=\"col-xs-4 col-md-4 col-lg-1\"> <input value=\"/\" checked=\"\" type=\"checkbox\"> x/y </label>\n <label class=\"col-xs-4 col-md-4 col-lg-1\"> <input value=\"^2\" checked=\"\" type=\"checkbox\"> x^2 </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"^3\" type=\"checkbox\"> x^3 </label>\n <label class=\"col-xs-4 col-md-4 col-lg-3\"> <input value=\"exp\" checked=\"\" type=\"checkbox\"> exp(x) </label>\n </div>\n </form>\n </div> <!-- End of row-->\n <div class=\"row\"> <!-- Start of third row-->\n <p class=\"lasso_selection_description\"><b>Optimal descriptor maximum dimension: </b> \n <select id=\"lasso_max_dim_selector\">\n <option value=\"2\"> 2D</option>\n <option value=\"3\"> 3D</option>\n <option value=\"4\"> 4D</option>\n <option value=\"5\"> 5D</option>\n </select> </p>\n </div><!-- End of row-->\n <div class=\"row\"> <!-- Start of forth row-->\n <p class=\"lasso_selection_description\"><b>Unit of measures: </b> \n <select id=\"units_select\">\n <option value=\"eV_angstrom\"> [energy]=eV; [length]=angstrom</option>\n <option value=\"J_m\"> [energy]=J; [length]=m</option>\n <option value=\"kcal/mol_angstrom\"> [energy]=kcal/mol; [length]=angstrom</option>\n </select> </p>\n </div><!-- End of row-->\n<!-- <span title=''> <img src=\"http://images.clipartpanda.com/question-purzen_Icon_with_question_mark_Vector_Clipart.png\" style=\"height: 30px; width: 30px;\"> </span> -->\n<!-- <button class=\"btn btn-default\" onclick='run_lasso()'>RUN LASSO+L0</button> -->\n<!-- <button class=\"btn btn-default\" onclick='reset_lasso()'>RESET</button> -->\n<!-- <label title=\"This button becomes active when the\nrun is finished. By clicking it, an interactive plot of the first 2\ndimensions of the optimized descriptor will be opened\"> \n <a href=\"#\" target=\"_blank\" class=\"btn btn-primary disabled\" id=\"lasso_result_button\" >View interactive 2D scatter plot</a> </label> -->\n</div>"
