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?

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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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