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Chap5-SuppHW

# Chap5-SuppHW - Supplementary Home Work Problems Chapter 5 2...

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Supplementary Home Work Problems Chapter 5 S5.1 Consider the differential equation: Assume that the solution is of the form: Develop “recursion relations” relating (1) a 2 to a 0 , (2) a 3 to a 1 , (3) a 4 to a 2 S5.2 One of the wavefunctions of the Harmonic Oscillator is: (a) Calculate the normalization constant, A (in terms of α ) (b) Determine <x> (in terms of α ) (c) Determine <x 2 > (in terms of α ) (d) Determine <p> (in terms of α ) (e) Determine <p 2 > (in terms of α ) (f) Determine <T>, average kinetic energy (in terms of ϖ ) (g) Determine <V>, average potential energy (in terms of ϖ ) S5.3 Consider a two dimensional Harmonic Oscillator for which k y =9·k x . Determine the energies (in terms of ϖ x ) and degeneracies of the first 6 energy levels for this oscillator. S5.4 Determine the Zero-point energy (in kJ/mol) and the spacing between energy levels for carbon monoxide, 12 C 16 O, which has a fundamental vibrational frequency of 2170 cm -1 . S5.5

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Chap5-SuppHW - Supplementary Home Work Problems Chapter 5 2...

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