Abstract
Based on a special form of the molecular virial theorem, the recently proposed method of momentum density for interatomic interactions is here applied to the problem of molecular geometry. Two molecules BH −2 and BH +2 , which have the same nuclear framework but favor respectively bent and linear conformations, are comparatively studied. Using an approximate Hartree-Fock momentum density, the total molecular energy (including the nuclear repulsion) is partitioned into orbital components, and a geometry correlation diagram is derived. An atom-bond partitioning of the total energy is also examined based on the one- and two-center decomposition of the momentum density.
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Koga, T.: Theoret. Chim. Acta (Berl.) 58, 173 (1981)
Koga, T., Morita, M.: Theoret. Chim. Acta (Berl.) 59, 639 (1981)
Koga, T., Miyahara, T., Morita, M.: Theoret. Chim. Acta (Berl.) 63, 377 (1983)
Koga, T., Morita, M.: Theoret. Chim. Acta (Berl.) 61, 73 (1982)
Koga, T., Morita, M.: Theoret. Chim. Acta (Berl.) 59, 423 (1981)
Koga, T., Sugawara, M., Morita, M.: Theoret. Chim. Acta (Berl.) 61, 87 (1982)
Koga, T., Shimokawa, K., Inagawa, I., Morita, M.: Theoret. Chim. Acta (Berl.) 62, 39 (1982)
Koga, T.: Int. J. Quantum Chem. 25, 347 (1984)
Nelander, B.: J. Chem. Phys. 51, 469 (1969)
Srebrenik, S., Messer, R.: J. Chem. Phys. 63, 2768 (1975)
Epstein, S. T.: The variation method in quantum chemistry, pp. 104–115. New York: Academic 1974
Takahata, Y., Parr, R. G.: Chem. Phys. Lett. 4, 109 (1969)
Binkley, J. S., Whiteside, R. A., Krishnan, R., Seeger, R., DeFrees, D. J., Schlegel, H. B., Topiol, S., Kahn, L. R., Pople, J. A.: QCPE 13, 406 (1981)
Walsh, A. D.: J. Chem. Soc. 2260 (1953)
Nakatsuji, H., Koga, T., in: The force concept in chemistry, pp. 137–217, Deb, B. M., ed. New York: Van Nostrand Reinhold 1981
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Koga, T., Kobayashi, H. Momentum density and molecular geometry. Bent BH −2 and linear BH +2 . Theoret. Chim. Acta 65, 303–310 (1984). https://doi.org/10.1007/BF00548255
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DOI: https://doi.org/10.1007/BF00548255