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Transferable integrals in a deformation density approach to crystal orbital calculations. III

โœ Scribed by John Avery


Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
353 KB
Volume
16
Category
Article
ISSN
0020-7608

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๐Ÿ“œ SIMILAR VOLUMES


Transferable integrals in a deformation-
โœ John Avery ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 499 KB

## Abstract In the usual __ab initio__ method of calculating molecular orbitals, the number of integrals to be evaluated increases as __M__^4^, where __M__ is the number of basis functions. In this paper, an alternative method is discussed, where the computation time increases much less violently w

Transferable integrals in a deformation-
โœ John Avery; Erik Berg ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 903 KB

## Abstract A new method for calculating crystal orbitals in the Hartreeโ€Fockโ€Slater approximation is proposed. The method makes use of xโ€ray crystallographic measurements of the deformation density, and uses transferable integrals to treat the neutralโ€“atom potentials. Methods for evaluating matrix

Transferable integrals in a deformation
โœ John Avery; Per-Johan รธrmen ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 676 KB

## Abstract A general method for performing angular integrations is presented. The method depends on the fact that the integral must be invariant under rotations of the coordinate system, and it also makes use of combinatorial analysis. In most cases the method presented is computationally much fas

Transferable integrals in a deformation
โœ John Avery; Per-Johan ร˜rmen; Ibha Chatterjee ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 1023 KB

## Abstract The term โ€œcrystal harmonicโ€ is introduced to denote a symmetrized plane wave in the special case where the wave vector is a reciprocal lattice vector. Crystal harmonics, thus defined, have the translational symmetry of the lattice, and they also have the transformation properties of the