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Permutationally invariant potential energy surfaces in high dimensionality

Braams, Bastiaan J., Bowman, Joel M.·2009·International Reviews in Physical Chemistry

Abstract

We review recent progress in developing potential energy and dipole moment surfaces for polyatomic systems with up to 10 atoms. The emphasis is on global linear least squares fitting of tens of thousands of scattered ab initio energies using a special, compact fitting basis of permutationally invariant polynomials in Morse-type variables of all the internuclear distances. The computational mathematics underlying this approach is reviewed first, followed by a review of the practical approaches used to obtain the data for the fits. A straightforward symmetrization approach is also given, mainly for pedagogical purposes. The methods are illustrated for potential energy surfaces for , (H2O)2 and CH3CHO. The relationship of this approach to other approaches is also briefly reviewed.

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Metadata

Authors
Braams, B. J., & Bowman, J. M.
Venue
International Reviews in Physical Chemistry
Published
2009-10
Volume
28
Issue
4
Pages
577-606
ISSN
  • 0144-235X (ISSN-L)
  • 1366-591X
OpenAlex
W1964882117
Cited by
937
References
28
FWCI
13.75
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Permutationally invariant potential energy surfaces in high dimensionality. https://app.cochat.ai/papers/10.1080/01442350903234923
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Braams, B. J., & Bowman, J. M. (2009). Permutationally invariant potential energy surfaces in high dimensionality. International Reviews in Physical Chemistry. https://doi.org/10.1080/01442350903234923

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