1. [10] Consider an adsorption band in the combined rotational-vibrational spectrum of a linear molecule, where the fundamental vibrational frequency involved in the observed band is 2325 cm-¹ and the rotational constant of the molecule is B=2.4 cm³. Say hypothetically, the specific selection rules for the rotational states are AJ = ±2. At what wave numbers would the first three peaks that occur at both higher and lower wave numbers than fundamental vibrational frequency occur at? What transitions would each peak correspond to?

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
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1. [10] Consider an adsorption band in the combined rotational-vibrational spectrum of a linear
molecule, where the fundamental vibrational frequency involved in the observed band is 2325 cm-¹
and the rotational constant of the molecule is B=2.4 cm³. Say hypothetically, the specific selection
rules for the rotational states are AJ = ±2. At what wave numbers would the first three peaks that
occur at both higher and lower wave numbers than fundamental vibrational frequency occur at? What
transitions would each peak correspond to?
Transcribed Image Text:1. [10] Consider an adsorption band in the combined rotational-vibrational spectrum of a linear molecule, where the fundamental vibrational frequency involved in the observed band is 2325 cm-¹ and the rotational constant of the molecule is B=2.4 cm³. Say hypothetically, the specific selection rules for the rotational states are AJ = ±2. At what wave numbers would the first three peaks that occur at both higher and lower wave numbers than fundamental vibrational frequency occur at? What transitions would each peak correspond to?
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