An alternative to Ewald sums - Part I: Identities for sums

被引:72
作者
Sperb, R [1 ]
机构
[1] ETH Zurich, Seminar Angew Math, CH-8092 Zurich, Switzerland
关键词
Ewald sum; Coulomb energy;
D O I
10.1080/08927029808024176
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
In this paper identities are derived which allow the computation of the Coulomb energy associated with N charges in a central cell and all their periodic images. These identities are all consequences of one basic identity which is obtained in a simple and straightforward way. It is possible to extend the results to other types of potentials as well.
引用
收藏
页码:179 / 200
页数:22
相关论文
共 9 条
[1]  
ABRAMOWITZ, 1970, HDB MATH FUNCTIONS
[2]  
Erdelyi A, 1953, HIGHER TRANSCENDENTA
[3]  
Erdelyi A., 1954, TABLES INTEGRAL TRAN, VI
[4]  
Ewald PP, 1921, ANN PHYS-BERLIN, V64, P253
[5]  
Gradshteyn IS, 1965, TABLE INTEGRALS SERI
[6]   SUMMATION OF COULOMB FIELDS IN COMPUTER-SIMULATED DISORDERED-SYSTEMS [J].
LEKNER, J .
PHYSICA A, 1991, 176 (03) :485-498
[7]  
Madelung E, 1918, PHYS Z, V19, P524
[8]   EXTENSION AND SIMPLE PROOF OF LEKNER SUMMATION FORMULA FOR COULOMB FORCES [J].
SPERB, R .
MOLECULAR SIMULATION, 1994, 13 (03) :189-193
[9]   A METHOD FOR THE EVALUATION OF SOME LATTICE SUMS OCCURRING IN CALCULATIONS OF PHYSICAL PROPERTIES OF CRYSTALS [J].
VANDERHOFF, BME ;
BENSON, GC .
CANADIAN JOURNAL OF PHYSICS, 1953, 31 (07) :1087-1094