On representing chemical environments

@article{Bartok2013OnRC,
  title={On representing chemical environments},
  author={Albert P. Bart'ok and Risi Kondor and G{\'a}bor Cs{\'a}nyi},
  journal={Physical Review B},
  year={2013},
  volume={87},
  pages={184115}
}
We review some recently published methods to represent atomic neighborhood environments, and analyze their relative merits in terms of their faithfulness and suitability for fitting potential energy surfaces. The crucial properties that such representations (sometimes called descriptors) must have are differentiability with respect to moving the atoms and invariance to the basic symmetries of physics: rotation, reflection, translation, and permutation of atoms of the same species. We… 
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