with general non-linear function $F$ and several $\varphi_i$. In the tutorial we will use $E_i = \sqrt{\varphi^{(1)}_i} + \varphi^{(2)}_i$ to make contact to the Embedded Atom Method.
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# Reference data
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The potentials are parameterized by fitting to reference data. Here we use DFT data for Cu that we generated with the FHI-aims code. In the following we summarize key properties of the dataset.
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``` python
%pylabinline
```
%% Output
Populating the interactive namespace from numpy and matplotlib