Suppose that the internuclear distance may be written R = Re + x where Re is the equilibrium bond length. Also suppose that the potential well is symmetrical and confines the oscillator to small displacements. Deduce expressions for 1/⟨R⟩2, 1/⟨R2⟩, and ⟨1/R2⟩ to the lowest non-zero power of ⟨x2⟩/Re2 and confirm that the values are not the same.

Suppose that the internuclear distance may be written R = Re + x where Re is the equilibrium bond length. Also suppose that the potential well is symmetrical and confines the oscillator to small displacements. Deduce expressions for 1/⟨R⟩2, 1/⟨R2⟩, and ⟨1/R2⟩ to the lowest non-zero power of ⟨x2⟩/Re2 and confirm that the values are not the same.

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter14: Rotational And Vibrational Spectroscopy

Section: Chapter Questions

Problem 14.64E

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