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Computation of electron repulsion integrals using the rys quadrature method

✍ Scribed by J. Rys; M. Dupuis; H. F. King


Publisher
John Wiley and Sons
Year
1983
Tongue
English
Weight
301 KB
Volume
4
Category
Article
ISSN
0192-8651

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✦ Synopsis


Following an earlier proposal to evaluate electron repulsion integrals over Gaussian basis functions by a numerical quadrature based on a set of orthogonal polynomials (Rys polynomials),

a computational procedure is outlined for efficient evaluation of the two-dimensional integrals Zx, Zy , and I,. Compact recurrence formulas for the integrals make the method particularly fitted to handle highangular-momentum basis functions. The technique has been implemented in the HONDO molecular orbital program.

11. GAUSSIAN QUADRATURE AND TWO-ELECTRON INTEGRALS

It has been known since the early work of Boys that the two-electron integral over primitive


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Computation of the propagation character
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A new technique, generalized differential quadrature ( ) GDQ , is applied to determine the propagation characteristics of hollow metallic wa¨eguides of square, rectangular, circular, and elliptical cross sections. The results show excellent agreement with theoretical ¨alues. ( ) The GDQ is compared