Using the relevant transition moment integrals, demonstrate that the probability of a vibration described by a harmonic oscillator in absorbing IR radiation form the v = to the v = 2 state is forbidden. Is the v = 1 to v 0 transition also forbidden?

Using the relevant transition moment integrals, demonstrate that the probability of a vibration described by a harmonic oscillator in absorbing IR radiation form the v = to the v = 2 state is forbidden. Is the v = 1 to v 0 transition also forbidden?

Physical Chemistry

2nd Edition

ISBN:9781133958437

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

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

Chapter10: Introduction To Quantum Mechanics

Section: Chapter Questions

Problem 10.40E

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Quantum theory, often known as quantum physics, is the foundation of modern physics and encompasses the nature and behavior of matter and energy at the atomic and molecular levels. As the exact nature and behavior of atomic and subatomic particles are impossible to determine, the laws of classical physics do not apply to this discipline. As a result, quantum field theory is primarily based on assumptions and probabilities.

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Using the relevant transition moment integrals, demonstrate that the probability of a
vibration described by a harmonic oscillator in absorbing IR radiation form the v = 0
to the v = 2 state is forbidden. Is the v = 1 to v =

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