Today;s Lecture pdf file: Vibronic Transition

Dear second sem students,

Today I will take class in which I discuss vibronic and hence adiabatic approximation in the transitions.

Since I have taken only a few classes. the possible long questions for mid-term exam will be as follows:
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(1) Describe the nature of the potential of vibrating diatomic molecules. Explain Morse potential and hence anharmonic oscillator. Find the expression for potential of a vibrating diatomic molecule in terms of dissociation energy.

(2) Use stationary perturbation theory to find energy eigenvalue of vibrating diatomic molecule. [Hint: You need to go to second order correction to energy, this was HW, I hope you all have solve this!]

(3) Discuss vibrational and rotational energy levels and energy gaps. Describe the selection rule for vibrational-rotation spectra and hence explain P- and R-branch in the vibration-rotation spectra.

(4) Discuss the effects of nuclear motion during electronic transition. Explain rotation and vibration  of diatomic molecule assuming adiabatic approximation. [Note: Today I will discuss.]
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There will be a numerical of type:
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(a) The observed dissociation energy of the H-molecule is 4.5 eV. (a) If the molecule vibrates with frequency n0 = 1.32 x 1014 Hz behaves like a Morse oscillator, calculate the energy gap between the levels n = 7 to n = 8. (b) Compare the result with that of the Harmonic oscillator potential. [Ans: 0.41 eV, 0.54 eV]

(b) For the carbon monoxide it is given that the rotational constant B = 1.93 cm-1 and vibrational constant is 2160 cm-1. What are the frequencies of the first three lines of the R- and P-branches in the vibration-rotation spectrum of CO? [Ans: 2163.9 cm-1, 2167.7 cm-1, 2171.6 cm-1 for R-branch and 2156.1 cm-1, 2152.3 cm-1, 2148.4 cm-1 in P-branch] 

Best wishes!

--
-----------------------------------------
Prof. Dr. Binil Aryal
Head
Central Department of Physics
Tribhuvan University, Kirtipur, NEPAL
Tel. 00977 9803228105 (mobile)
      00977 14330469 (office)
http://www.tucdp.edu.np/index.php
------------------------------
** Senator: TU Assembly
** Member: Academic Council, TU
** Member: Faculty Board Standing Committee, IoST, TU
** Member: Research Committee, IoE, TU
** Member: Subject Committee, IoE, TU
** Member: Managing Committee, RECAST, TU
** Member: Subject Standing Committee, CDES, TU
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