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A theory of special points in two-dimensional solid-state calculations

✍ Scribed by G. G. Hall; D. Rees

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
220 KB
Volume
74
Category
Article
ISSN
0020-7608

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✦ Synopsis

A theory of special points in solid-state calculations is developed using a finite-dimensional function space. This generalizes many of the ideas of the present authors about Gaussian-type cubature since the special points are identified with the grid points of a quadrature. The theory is applied to planar square lattices with C symmetry. 4v By the systematic use of symmetry, substantial grids of points can be calculated economically. The accuracy of the sets of points is discussed and a redefinition of accuracy offered. Examples are given, some of which agree with those already known, but a new category of skew direct product grids is introduced which enables a large number of suitable grids to be generated.

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