The band origins (that is, the centers) for the first and second overtones of a di- atomic molecule XY are 7521.012 cm-1 and 10957.58 cm-1, respectively. Assuming that including just the first anharmonicity correction to the vibrational energy accurately describes the vibrational motion of the diatomic: a) Calculate the natural frequency we and the constant ãe for the first anharmonicity correction eãe. b) Find the wavenumber of the band origin for the fundamental transition.

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter20: Molecular Spectroscopy And Photochemistry
Section: Chapter Questions
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The band origins (that is, the centers) for the first and second overtones of a di-
atomic molecule XY are 7521.012 cm-1 and 10957.58 cm-1, respectively. Assuming that
including just the first anharmonicity correction to the vibrational energy accurately
describes the vibrational motion of the diatomic:
a) Calculate the natural frequency we and the constant ñe for the first anharmonicity
correction õeãe-
b) Find the wavenumber of the band origin for the fundamental transition.
Transcribed Image Text:The band origins (that is, the centers) for the first and second overtones of a di- atomic molecule XY are 7521.012 cm-1 and 10957.58 cm-1, respectively. Assuming that including just the first anharmonicity correction to the vibrational energy accurately describes the vibrational motion of the diatomic: a) Calculate the natural frequency we and the constant ñe for the first anharmonicity correction õeãe- b) Find the wavenumber of the band origin for the fundamental transition.
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