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The Morse Oscillator and Second-Order Perturbation Theory

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B. A. Pettitt

Department of Chemistry, University of Winnipeg, Winnipeg, MB R3B 2E9, Canada

J. Chem. Educ., 1998, 75 (9), p 1170

DOI: 10.1021/ed075p1170

Publication Date (Web): September 1, 1998

Section:

History, Education, and Documentation

Abstract

This article shows how the energies of the Morse oscillator are obtained exactly from a second-order perturbation expansion in a harmonic oscillator basis. This exercise is recommended for its instructional value in intermediate quantum chemistry, in that the second-order term is entirely tractable, it arises within an important context (anharmonicity of vibrations), and it gives the right answer.

Keywords (Audience):

Upper-Division Undergraduate

Keywords (Domain):

Physical Chemistry

Keywords (Subject):

Quantum Chemistry

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This article has been cited by 2 ACS Journal articles (2 most recent appear below).

A Mechanical Apparatus for Hands-On Experience with the Morse Potential
Michael A. Everest
Journal of Chemical Education2010 87 (10), 1071-1073
- A Mechanical Apparatus for Hands-On Experience with the Morse Potential
  Michael A. Everest
  Journal of Chemical Education2010 87 (10), 1071-1073
  A simple pulley apparatus is described that gives the student hands-on experience with the Morse potential. Students develop an internalized sense of what a covalent bond would feel like if atoms in a molecule could be manipulated by hand. This ...
  Abstract | Full Text HTML | Hi-Res PDF | PDF w/ Links
The Rotating Morse–Pekeris Oscillator Revisited
José Zúñiga , Adolfo Bastida and Alberto Requena
Journal of Chemical Education2008 85 (12), 1675
- The Rotating Morse–Pekeris Oscillator Revisited
  José Zúñiga , Adolfo Bastida and Alberto Requena
  Journal of Chemical Education2008 85 (12), 1675
  The Morse–Pekeris oscillator model for the calculation of the vibration–rotation energy levels of diatomic molecules is revisited. This model is based on the realization of a second-order exponential expansion of the centrifugal term about the minimum of ...
  Abstract | Hi-Res PDF | PDF w/ Links