Crystal Coulomb Energies. IV. A Rapid-Convergence Algorithm for Quantum-Mechanical Crystal Binding Energies
- 1 December 1972
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 57 (11) , 4847-4858
- https://doi.org/10.1063/1.1678156
Abstract
Crystal electronic binding energies can be obtained from single‐molecule wavefunctions by use of the tight‐binding approximation and zero overlap between unit cells. Ewald's method yields a rapidly converging algorithm for performing part of the calculation in direct space and part in reciprocal space, with the help of fast‐converging modified atomic wavefunctions. The reciprocal space part consists of summations of Silverstone's two‐center Fourier transforms.Keywords
This publication has 12 references indexed in Scilit:
- Crystal Coulomb Energies. III. The Electrostatic Binding Energy of N-Methylphenazinium 7,7,8,8-Tetracyanoquinodimethanide by Ewald's MethodThe Journal of Chemical Physics, 1972
- Crystal Coulomb Energies. II. The Electrostatic Binding Energy of Four Organic Donor-Acceptor Crystals by Ewald's Method and Charge Transfer in Organic LatticesThe Journal of Chemical Physics, 1972
- Crystal Coulomb Energies. I. The Electrostatic Binding Energy of Wurster's Blue Perchlorate by Ewald's MethodThe Journal of Chemical Physics, 1972
- Expansion about an Arbitrary Point of Three-Dimensional Functions Involving Spherical Harmonics by the Fourier-Transform Convolution TheoremThe Journal of Chemical Physics, 1967
- ANALYTICAL EVALUATION OF THREE- AND FOUR-CENTER INTEGRALS OF r 12 -1 WITH SLATER-TYPE ORBITALSProceedings of the National Academy of Sciences, 1967
- Series Expansion for Two-Center Noninteger-n Overlap IntegralsThe Journal of Chemical Physics, 1967
- Series Expansion for Two-Center Noninteger-n Coulomb IntegralsThe Journal of Chemical Physics, 1967
- On the Evaluation of Two-Center Overlap and Coulomb Integrals with Noninteger-n Slater-Type OrbitalsThe Journal of Chemical Physics, 1966
- L'énergie électrostatique de réseaux ioniquesJournal de Physique et le Radium, 1952
- Die Berechnung optischer und elektrostatischer GitterpotentialeAnnalen der Physik, 1921