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Spherical to Cartesian Coordinates Transformation for Solid Harmonics Revisited

Published 21 Dec 2024 in cond-mat.other, cond-mat.mtrl-sci, physics.atm-clus, physics.chem-ph, and physics.comp-ph | (2412.16733v1)

Abstract: Spherical Harmonic Gaussian type orbitals and Slater functions can be expressed using spherical coordinates or a linear combinations of the appropriate Cartesian functions. General expressions for the transformation coefficients between the two representations are provided. Values for the transformation coefficients are tabulated up to the quantum number $\ell = 10$.

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