Application of error-ranked singular value decomposition for the determination of potential-derived atomic-centered point charges

2008 Wiley Periodicals, Inc.

Bibliographische Detailangaben
Veröffentlicht in:Journal of computational chemistry. - 1984. - 30(2009), 5 vom: 15. Apr., Seite 733-42
1. Verfasser: Tan, Jeffrey S (VerfasserIn)
Weitere Verfasser: Boerrigter, Stephan X M, Scaringe, Raymond P, Morris, Kenneth R
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2009
Zugriff auf das übergeordnete Werk:Journal of computational chemistry
Schlagworte:Journal Article Aza Compounds Benzene Derivatives Heterocyclic Compounds, 1-Ring
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520 |a The present work provides a detailed investigation on the use of singular value decomposition (SVD) to solve the linear least-squares problem (LLS) for the purposes of obtaining potential-derived atom-centered point charges (PD charges) from the ab initio molecular electrostatic potential (V(QM)). Given the SVD of any PD charge calculation LLS problem, it was concluded that (1) all singular vectors are not necessary to obtain the optimal set of PD charges and (2) the most effective set of singular vectors do not necessarily correspond to those with the largest singular values. It is shown that the efficient use of singular vectors can provide statistically well-defined PD charges when compared with conventional PD charge calculation methods without sacrificing the agreement with V(QM). As can be expected, the methodology outlined here is independent of the algorithm for sampling V(QM) as well as the basis set used to calculate V(QM). An algorithm is provided to select the best set of singular vectors used for optimal PD charge calculations. To minimize the subjective comparisons of different PD charge sets, we also provide an objective criterion for determining if two sets of PD charges are significantly different from one another 
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700 1 |a Boerrigter, Stephan X M  |e verfasserin  |4 aut 
700 1 |a Scaringe, Raymond P  |e verfasserin  |4 aut 
700 1 |a Morris, Kenneth R  |e verfasserin  |4 aut 
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