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  • Access by Xinjiang University

The Vibration-Rotation Energies of Polyatomic Molecules Part II. Accidental Degeneracies

Harald H. Nielsen

  • Mendenhall Laboratory of Physics, Ohio State University, Columbus, Ohio

Phys. Rev. 68, 181 – Published 1 October, 1945

DOI: https://doi.org/10.1103/PhysRev.68.181

Abstract

The first- and second-order corrections to the vibration-rotation energies of polyatomic molecules are dealt with in instances where two or more vibration frequencies are accidentally degenerate. The method of the contact transformation employed in Part I is extended and made applicable to the two types of first-order resonance interactions, i.e., the Fermi-Dennison type and the Coriolis type. The components of the energy matrix are evaluated in general, and examples are considered to demonstrate how the actual energies may be evaluated.

References (13)

  1. H. H. Nielsen, Phys. Rev. 60, 794 (1941)
  2. Omitted endnote

  3. W. H. Shaffer, H. H. Nielsen, and L. H. Thomas, Phys. Rev. 56, 895 (1939) S. Silver and W. H. Shaffer, J. Chem. Phys. 9, 599 (1941)
  4. Omitted endnote

  5. Omitted endnote

  6. E. Fermi, Zeits, f. Physik 71, 250 (1931) D. M. Dennison, Phys. Rev. 41, 304 (1932)
  7. Omitted endnote

  8. D. M. Dennison, Rev. Mod. Phys. 12, 175 (1940)
  9. S. Silver, J. Chem. Phys. 10, 565 (1942)
  10. H. H. Nielsen, J. Chem. Phys. 5, 818 (1937)
  11. Omitted endnote

  12. M. Johnston and D. M. Dennison, Phys. Rev. 48, 868 (1935) H. A. Jahn, Proc. Roy. Soc. A168, 469 (1938)
  13. D. M. Dennison, Rev. Mod. Phys. 12, 175 (1940)

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