An alternative to Ewaed sums part I: Identities for sums

Molecular Simulation

Volumn 20, Issue 3, 1998, Pages 179-200

  Sperb, R ^a  

^a NONE

Author keywords

Coulomb energy; Ewald sum

Indexed keywords

EID: 0000279587     PISSN: 08927022     EISSN: None     Source Type: Journal    
DOI: 10.1080/08927029808024176     Document Type: Article

References (9)

1. Abramowitz and Stegun, I. (1970). Handbook of Mathematical Functions, Dover, N. Y.
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3. Erdélyi, A., Magnus, W., Oberhettinger, F. and Tricomi, F. G. (1953). Higher transcendental functions, 1, McGraw-Hill.
4. Ewald, P. P., Die Berechnung optischer und elektrostatischer Gitterpotentiale, Ann. Phys., 64, 253-287.
5. Gradshteyn, I. S. and Ryzhik (1965). Table of integrals, series and products, Academic Press.
6. Lekner, J. (1991). Summation of Coulomb fields in computer simulated disordered systems, Physica A, 176, 485-498.
7. Madelung, E. (1918). Das elektrische Feld in Systemen von regelmässig angeordneten Punktladungen, Phys. Zeitschrift, 19, 524-532.
8. Sperb, R. P. (1994). Extension and simple proof of Lekner's summation formula for Coulomb forces, Molecular Simulation, 13, 189-193.
9. Van der Hoff, B. M. E. and Benson, G. C. (1953). A method for the evaluation of some lattice sums occurring in the calculations of physical properties of crystals, Canadian J. of Phys., 31, 1087-1094.