Abstract
A simple numerical method for calculations of torsional energy for barriers of arbitrary forms was suggested. Within the framework of the Wigner-Kirkwood approximation, an analytic equation was derived for the partition function of a hindered top, which was used for interpretation and a comparison with numerically exact results.
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References
C. C. Lin and J. D. Swalen, Rev. Mod. Phys. 31, 841 (1959).
H. H. Nielsen, Phys. Rev. 40, 445 (1932).
J. S. Koehler and D. M. Dennison, Phys. Rev. 57, 1006 (1940).
K. S. Pitzer and W. D. Gwinn, J. Chem. Phys. 10, 428 (1942).
S. C. King, J. F. Leblanc, and P. D. Pacey, Chem. Phys. 123, 329 (1988).
D. G. Truhlar, J. Comput. Chem. 12, 266 (1991).
V. D. Knyazev, I. A. Dubinsky, I. R. Slagle, and D. Gutman, J. Phys. Chem. 98, 5279 (1994).
R. B. McClurg, R. C. Flagan, and W. A. Goddard, J. Chem. Phys. 106, 6675 (1997).
P. Y. Ayala and H. B. Schlegel, J. Chem. Phys. 108, 2314 (1998).
J. R. Barker and C. N. Shovlin, Chem. Phys. Lett. 383, 203 (2004).
W. Siebrand, M. Z. Zgiersky, F. Zerbetto, et al., J. Chem. Phys. 106, 6279 (1997).
K. Okuyama, N. Mikami, and M. Ito, J. Phys. Chem. 89, 5617 (1985).
E. O. Stejskal and H. S. Gutowsky, J. Chem. Phys. 28, 388 (1958).
R. M. Stratt and W. H. Miller, J. Chem. Phys. 67, 5894 (1977).
E. T. Whittaker and D. N. Watson, A Course of Modern Analysis (Cambridge Univ., Cambridge, 1927; Fizmatgiz, Moscow, 1962), Vol. 2.
H. D. Rudolph, H. Dreizler, A. Jaeschke, and P. Wendling, Z. Naturforsch. A 22, 940 (1967).
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Original Russian Text © M.L. Strekalov, 2010, published in Khimicheskaya Fizika, 2010, Vol. 29, No. 3, pp. 27–32.
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Strekalov, M.L. Calculations of partition functions for internal rotation of molecules. Russ. J. Phys. Chem. B 4, 198–202 (2010). https://doi.org/10.1134/S199079311002003X
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DOI: https://doi.org/10.1134/S199079311002003X