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Published July 15, 1972 | Published
Journal Article Open

Self‐Consistent Procedures for Generalized Valence Bond Wavefunctions. Applications H_3, BH, H_(2)O, C_(2)H_6, and O_2

Abstract

Methods of efficiently optimizing the orbitals of generalized valence bond (GVB) wavefunctions are discussed and applied to LiH, BH, H_3, H_(2)O, C_(2)H_6, and O_2. The strong orthogonality and perfect pairing restrictions are tested for the X^(1)Σ^+ state of LiH, the X 1Σ+, a^(3)π, and A^(1)π states of BH, and the H_(2)+D⇄H+HD exchange reaction. The orbitals of H_(2)O and C_(2)H_6 naturally localize into OH, CH, and CC bonding pairs. The nonbonding orbitals of H_(2_O are approximately tetrahedral but this description is only 2 kcal lower than the optimum description in terms of σ and π lone‐pair functions. The calculated rotational barrier for C_(2)H_6 is 3.1 kcal, in good agreement with the experimental value (2.9 kcal). The description of the O2 molecule in the GVB approach is presented and the results of carrying out CI calculations using the GVB orbitals are discussed. The GVB orbitals are found to be a good basis set for configuration interaction calculations. The general features of GVB orbitals in other molecules are summarized.

Additional Information

© 1972 American Institute of Physics. Received 26 October 1971. We are indebted to Richard Blint, Robert Ladner, and Frank Bobrowicz for their help in the comparisons of the GVB and SOGI methods. We also thank R. Blint for the generous use of his results prior to their publication. Supported in part by a grant (GP-15423) from the National Science Foundation and by a grant (PF-013) from the President's Fund of the California Institute of Technology.

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August 19, 2023
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