To a good approximation, the vibrational states of a diatomic molecule can be approximated by that of a harmonic oscillator with energy: En = hw(n +1/2), where w is the angular frequency of vibration and n = = 0, 1, 2, .... A. Find the partition function. B. For high temperatures, find the vibrational contribution to the free energy. Then solve for the entropy and heat capacity. C. Now solve for the contribution to the entropy and heat capacity at low temperatures.

To a good approximation, the vibrational states of a diatomic molecule can be approximated by that of a harmonic oscillator with energy: En = hw(n +1/2), where w is the angular frequency of vibration and n = = 0, 1, 2, .... A. Find the partition function. B. For high temperatures, find the vibrational contribution to the free energy. Then solve for the entropy and heat capacity. C. Now solve for the contribution to the entropy and heat capacity at low temperatures.

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter42: Molecules And Solids

Section: Chapter Questions

Problem 21P

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