A METHOD FOR THE EVALUATION OF SOME LATTICE SUMS OCCURRING IN CALCULATIONS OF PHYSICAL PROPERTIES OF CRYSTALS

1 November 1953

journal article
Published by Canadian Science Publishing in Canadian Journal of Physics

Vol. 31 (7) , 1087-1094
https://doi.org/10.1139/p53-093

Abstract

A method is described for the evaluation of sums of the inverse n^th power of the distances from a point P to all points of a lattice. The sums are expressed in sums of Bessel functions or e-powers that converge rather rapidly and Riemann ζ functions. The procedure can be used for any position of P with respect to the lattice.

Keywords

PHYSICAL PROPERTIES

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