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Non-analyticity of self-consistent field approaches: failure of predicting symmetry

L S Cederbaum et al 1990 J. Phys. B: At. Mol. Opt. Phys. 23 L747-L752   doi: 10.1088/0953-4075/23/22/003  Help

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L S Cederbaum, F Tarantelli and P Winkler
Theor. Chemie, Heidelberg Univ., West Germany

Abstract. It is found that the Fock operator is not necessarily dilatation analytic in symmetry changing situations. This leads to an unreliability of self-consistent fields to predict symmetry (e.g., the correct point group of a molecule). The analysis shows that the non-analyticity is particularly relevant for open-shell systems. Possibilities to circumvent these difficulties are briefly mentioned. The discussion applies also to the complex rotation method.

Print publication: Issue 22 (28 November 1990)

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