The bond length in 12CH molecule is 112 pm. The force constant of the bond is 448 Nm^1. Use harmonic approximation to predict the vibration-rotation spectrum of the molecule. a) Calculate the wavenumber ( in cm^1 ) of the band origin. b) Calculate the wavenumbers ( in cm^1 ) of the second peaks of the P and R branches.

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The bond length in 12CH molecule is 112 pm. The force constant of the bond
is 448 Nm^1.
Use harmonic approximation to predict the vibration-rotation spectrum of the
molecule.
a) Calculate the wavenumber ( in cm^1 ) of the band origin.

b) Calculate the wavenumbers ( in cm^1 ) of the second peaks of the P and R branches.

h= 6.626x103ª J.s c=2.998x10° m.s 1 eV = 1.6022x1019) 1A = 10 10 m,
1/2
6
dx =
8a2
(:)"" sin50 do
16
me =9.109x10-31
kg, k= 1.3807x10-23 J/K S0 x*e-ax²
15
Transcribed Image Text:h= 6.626x103ª J.s c=2.998x10° m.s 1 eV = 1.6022x1019) 1A = 10 10 m, 1/2 6 dx = 8a2 (:)"" sin50 do 16 me =9.109x10-31 kg, k= 1.3807x10-23 J/K S0 x*e-ax² 15
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