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On the evaluation of integrals useful for calculating the electrostatic potential and its derivatives from pseudo‐atoms
Author(s) -
Su Z.,
Coppens P.
Publication year - 1994
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889893007009
Subject(s) - electric field , field (mathematics) , physics , mathematical physics , atomic physics , mathematics , mathematical analysis , pure mathematics , quantum mechanics
A method for efficiently evaluating integrals of the type A N , l 1, l 2, k ( Z , R ) = × j l 2 ( SR ) S k d S is discussed and closed‐form expressions for those integrals useful in the calculation of the electrostatic potential, the electric field and the electric field gradient are given.