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.

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter11: Molecular Structure

Section: Chapter Questions

Problem 12P

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