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An efficient approach to calculation of zero-flux atomic surfaces and generation of atomic integration data

โœ Scribed by Boris B. Stefanov; Jerzy Cioslowski


Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
778 KB
Volume
16
Category
Article
ISSN
0192-8651

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โœฆ Synopsis


Abstract

A new robust method for variational determination of atomic zeroโ€flux surfaces is presented. The zeroโ€flux surface sheets are expressed in terms of variational trial functions in prolate spheroidal coordinates. The trial functions are optimized with a Newton procedure to satisfy the zeroโ€flux condition on a grid. The data required for radial integrations are generated by an adaptive quadrature procedure that employs model electron densities and utilizes an original thirdโ€order algorithm for linear search. Results of test calculations involving variational determination of atomic surfaces are presented for a representative set of 20 molecules. The new approach is both less time consuming and substantially more accurate than the previously published algorithms. ยฉ 1995 John Wiley & Sons, Inc.


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## Abstract We introduce a method to compute atomic properties according to the โ€œquantum theory of atoms in molecules.โ€ An integration grid in real space is partitioned into subsets, ฯ‰~__i__~. The subset, ฯ‰~__i__~, is composed of all grid points contained in the atomic basin, ฮฉ~__i__~, so that inte