Electrostatic potentials using direct-lattice summations

V. R. Marathe; S. Lauer; A. X. Trautwein

doi:10.1103/PhysRevB.27.5162

Electrostatic potentials using direct-lattice summations

V. R. Marathe^*, S. Lauer, A. X. Trautwein

^*Corresponding author for this work

Institute of Physics

14 Citations (Scopus)

Abstract

A direct-lattice summation scheme is described which is completely general for one-, two-, and three-dimensional periodic arrays of point charges. This scheme is based on a proper rearrangement of terms within the lattice sum. Rapid convergence is achieved by appropriate cancellation of multipolar terms.

Original language	English
Journal	Physical Review B
Volume	27
Issue number	8
Pages (from-to)	5162-5165
Number of pages	4
ISSN	0163-1829
DOIs	https://doi.org/10.1103/PhysRevB.27.5162
Publication status	Published - 01.01.1983

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title = "Electrostatic potentials using direct-lattice summations",

abstract = "A direct-lattice summation scheme is described which is completely general for one-, two-, and three-dimensional periodic arrays of point charges. This scheme is based on a proper rearrangement of terms within the lattice sum. Rapid convergence is achieved by appropriate cancellation of multipolar terms.",

author = "Marathe, \{V. R.\} and S. Lauer and Trautwein, \{A. X.\}",

year = "1983",

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doi = "10.1103/PhysRevB.27.5162",

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T1 - Electrostatic potentials using direct-lattice summations

AU - Marathe, V. R.

AU - Lauer, S.

AU - Trautwein, A. X.

PY - 1983/1/1

Y1 - 1983/1/1

N2 - A direct-lattice summation scheme is described which is completely general for one-, two-, and three-dimensional periodic arrays of point charges. This scheme is based on a proper rearrangement of terms within the lattice sum. Rapid convergence is achieved by appropriate cancellation of multipolar terms.

AB - A direct-lattice summation scheme is described which is completely general for one-, two-, and three-dimensional periodic arrays of point charges. This scheme is based on a proper rearrangement of terms within the lattice sum. Rapid convergence is achieved by appropriate cancellation of multipolar terms.

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DO - 10.1103/PhysRevB.27.5162

M3 - Journal articles

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VL - 27

SP - 5162

EP - 5165

JO - Physical Review B

JF - Physical Review B

IS - 8

ER -

Electrostatic potentials using direct-lattice summations

Abstract

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