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Updated: Feb 7, 2026

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Published on: July 3, 2021
Distributed Gaussian orbitals for the description of electrons in an external potential
Léa Brooke1, Alejandro Diaz-Marquez1, Stefano Evangelisti1
1Laboratoire de Chimie et Physique Quantiques, IRSAMC, CNRS, Université de Toulouse, Toulouse, UPS, France.
Abstract:
In this work, we demonstrate the viability of using distributed Gaussian orbitals as a basis set for the calculation of the properties of electrons subjected to an external potential. We validate our method by studying one-electron systems for which we can compare to exact analytical results. We highlight numerical aspects that require particular care when using a distributedGaussian basis set. In particular, we discuss the optimal choice for the distance between two neighboring Gaussian orbitals. Finally, we show how our approach can be applied to many-electron problems.
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