2011 MSE 508 Problem Set 9 Solutions

2011 MSE 508 Problem Set 9 Solutions - MSE 508 Solid State...

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MSE 508 Dept. of Materials Science & Engineering Solid State Thermodynamics Spring 2011/Bill Knowlton 1 Problem Set 9 Solutions 1. We briefly went through the Einstein model of a crystal in class. a. Derive both the partition function and F , S , U and C v for the Einstein model. Sketch a plot of C v and point out where the Debye model limit and the Delong-Petite model limit are on the sketch.
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MSE 508 Dept. of Materials Science & Engineering Solid State Thermodynamics Spring 2011/Bill Knowlton 2
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MSE 508 Dept. of Materials Science & Engineering Solid State Thermodynamics Spring 2011/Bill Knowlton 3
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MSE 508 Dept. of Materials Science & Engineering Solid State Thermodynamics Spring 2011/Bill Knowlton 4 Sketch of C v :
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MSE 508 Dept. of Materials Science & Engineering Solid State Thermodynamics Spring 2011/Bill Knowlton 5 b. Using a computer program other than Excel, plot C v of a simple cubic Einstein crystal. The plot should look similar to your sketch in part a and to figure 6.1 in Gaskell. Plot as a function of the temperature in the range of 0 – 500 K. Repeat the
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2011 MSE 508 Problem Set 9 Solutions - MSE 508 Solid State...

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