Abstract
The energy level spectrum for a system of four interacting methyl groups belonging to an X(CH3)4 type molecule is calculated by numerical methods. The rotational potential at the site of each methyl group is assumed to be of a three-fold symmetry. The torsion-torsion interaction is defined as a term in the multipole expansion of the electrostatic interaction of two rigid charge distributions. It is shown, that the tunneling frequency characterizing the ground state manifold in the absence of methyl-methyl interaction, splits into a set of closely spaced frequencies.
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Press, W.: Single-particle rotations in molecular crystals. In: Springer Tracts in Modern Physics. Vol. 92. Berlin, Heidelberg, New York: Springer 1981
Haupt, J.: Z. Naturforsch. 26a, 1578 (1971);
Punkkinen, M., Clough, S.: J. Phys. C7, 3403 (1974)
Emid, S., Wind, R.A.: Chem. Phys. Lett.33, 269 (1975)
Wind, R.A., Emid, S., Lightheim, D.J., Pourquie, F.P., Smith, J.: Bull. Magn. Res.6, 71 (1984)
Swalen, J.D., Costain, C.C.: J. Chem. Phys.31, 1562 (1959)
Grant, D.M., Pugmire, R.J., Livingstone, R.C., Strong, K.A., McMurry, H.L., Brugger, R.M.: J. Chem. Phys.52, 4424 (1970)
Lide, D.R. Jr., Mann, D.E.: J. Chem. Phys.28, 572 (1958)
Clough, S., Heidemann, A., Horsewill, A.H., Paley, M.N.J.: Z. Phys. B — Condensed Matter55, 1 (1984)
Prager, M., Heidemann, A., Häusler, W.: Z. Phys. B — Condensed Matter64, 447 (1986)
Häusler, W., Hüller, A.: Z. Phys. B — Condensed Matter59, 177 (1985)
Hirschfelder, J.O., Curtis, C.F., Bird, R.B.: Molecular theory of gases and liquids. p. 932. New York: John Wiley 1954
Peternelj, J., Jenčič, I., Cvikl, B., Pintar, M.M.: Phys. Rev. B36, 25 (1987)
Prager, M., Duprée, K.-H., Müller-Warmuth, W.: Z. Phys. B — Condensed Matter51, 309 (1983);
Müller-Warmuth, W., Duprée, K.-H., Prager, M.: Z. Naturforsch.39a, 66 (1983)
Prager, M., Langel, W.: J. Chem. Phys.85, 5279 (1986);
Langel, W., Prager, M., Schrems, O., Knözinger, E.: Quantum aspects of molecular motions in Solids. Springer Proceedings in Physics. Heidemann, A., Magerl, A., Prager, M., Richter, D., Springer, T. (eds.), Vol. 17, p. 93. Berlin, Heidelberg, New York: Springer 1987
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Jenčič, I., Peternelj, J., Cvikl, B. et al. The rotational energy levels of four methyl groups. Z. Physik B - Condensed Matter 79, 251–254 (1990). https://doi.org/10.1007/BF01406591
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DOI: https://doi.org/10.1007/BF01406591