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6. Consider the bond vibration of a homo-atomic diatomic molecule. In the harmonic approximation the vibrational energy levels are given by, Ev = (v + 1² ) h ħw Where v = 0, 1, ..., ∞ and w = 6.1 x 10¹4 s-¹. Let us assume this vibrational mode is IR active. A photon of energy E = hc/ is absorbed by the molecule and induces a fundamental vibrational transition. (a) What is the wavelength of the resulting IR absorption peak in nm?

6. Consider the bond vibration of a homo-atomic diatomic molecule. In the harmonic approximation the vibrational energy levels are given by, Ev = (v + 1² ) h ħw Where v = 0, 1, ..., ∞ and w = 6.1 x 10¹4 s-¹. Let us assume this vibrational mode is IR active. A photon of energy E = hc/ is absorbed by the molecule and induces a fundamental vibrational transition. (a) What is the wavelength of the resulting IR absorption peak in nm?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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6. Consider the bond vibration of a homo-atomic diatomic molecule. In the harmonic approximation the vibrational energy levels are given by, E₂ = (v + 1 ) Aes -1 S Where v = 0,1,..., ∞ and w = 6.1 × 10¹4 s−¹. Let us assume this vibrational mode is IR active. A photon of energy E = hc/ is absorbed by the molecule and induces a fundamental vibrational transition. (a) What is the wavelength of the resulting IR absorption peak in nm?
Transcribed Image Text:6. Consider the bond vibration of a homo-atomic diatomic molecule. In the harmonic approximation the vibrational energy levels are given by, E₂ = (v + 1 ) Aes -1 S Where v = 0,1,..., ∞ and w = 6.1 × 10¹4 s−¹. Let us assume this vibrational mode is IR active. A photon of energy E = hc/ is absorbed by the molecule and induces a fundamental vibrational transition. (a) What is the wavelength of the resulting IR absorption peak in nm?
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