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a) Calculate the splitting function of a single harmonic oscitor. What is the splitting function of N oscilator? b) Obtain the average energy of the T-temperature N oscilator from the split function. c) Calculate the heat capacity of this system and T→ 0 ve T →∞ in limits, what is the heat capacity the system? Are these results in line with the experiment? Why? What's the right theory about that? d) Find the Helmholtz free energy of this system. e) which gives the entropy of this system as a function of temperature.

a) Calculate the splitting function of a single harmonic oscitor. What is the splitting function of N oscilator? b) Obtain the average energy of the T-temperature N oscilator from the split function. c) Calculate the heat capacity of this system and T→ 0 ve T →∞ in limits, what is the heat capacity the system? Are these results in line with the experiment? Why? What's the right theory about that? d) Find the Helmholtz free energy of this system. e) which gives the entropy of this system as a function of temperature.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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3) Consider the collection of identical harmonic oscillators (as in the Einstein floor). The permitted energies of each oscilator (E = nhf (n=0, 1, 2.0, hf. 2hf and so on. a) Calculate the splitting function of a single harmonic oscitor. What is the splitting function of N oscilator? wwww wwwwww www www b) Obtain the average energy of the T-temperature N oscilator from the split function. c) Calculate the heat capacity of this system and T → 0 ve T → 0 in limits, what is the heat capacity of the system? Are these results in line with the experiment? Why? What's the right theory about that? w w d) Find the Helmholtz free energy of this system. www ww e) which gives the entropy of this system as a function of temperature. ww wd wwww ww
Transcribed Image Text:3) Consider the collection of identical harmonic oscillators (as in the Einstein floor). The permitted energies of each oscilator (E = nhf (n=0, 1, 2.0, hf. 2hf and so on. a) Calculate the splitting function of a single harmonic oscitor. What is the splitting function of N oscilator? wwww wwwwww www www b) Obtain the average energy of the T-temperature N oscilator from the split function. c) Calculate the heat capacity of this system and T → 0 ve T → 0 in limits, what is the heat capacity of the system? Are these results in line with the experiment? Why? What's the right theory about that? w w d) Find the Helmholtz free energy of this system. www ww e) which gives the entropy of this system as a function of temperature. ww wd wwww ww
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