The Vibration-Rotation Energies of Polyatomic Molecules

Harald H. Nielsen
Phys. Rev. 60, 794 – Published 1 December 1941; Erratum Phys. Rev. 61, 540 (1942)
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Abstract

The quantum-mechanical Hamiltonian function, H, for the general vibrating-rotating polyatomic molecule of N atoms has been expanded by the method of Wilson and Howard to second order of approximation. It has been practicable to obtain solutions of the Schrödinger equation (HE)ψ=0 for asymmetric molecules, axially symmetric molecules and linear molecules. Expressions for the anharmonic terms occurring in the vibration energy, the effective moments of inertia, the amplitudes of the internal angular momentum of oscillation and the centrifugal distortion coefficients are derived so that when the normal coordinates are known the vibration-rotation energies of a polyatomic molecule may be calculated from the results given. Tetrahedrally symmetric molecules and models in which internal rotation occurs are regarded as anomalous cases and are not treated.

  • Received 10 October 1941

DOI:https://doi.org/10.1103/PhysRev.60.794

©1941 American Physical Society

Erratum

Errata: The Vibration-Rotation Energies of Polyatomic Molecules

Harald H. Nielsen
Phys. Rev. 61, 540 (1942)

Authors & Affiliations

Harald H. Nielsen

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

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Issue

Vol. 60, Iss. 11 — December 1941

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