Heat Capacity_Part_3

Heat Capacity_Part_3 - are based on rather rough...

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MSE 3050, Phase Diagrams and Kinetics, Leonid Zhigilei Energy Band Structures Semiconductors and Insulators Metals
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MSE 3050, Phase Diagrams and Kinetics, Leonid Zhigilei Summary (1) Make sure you understand language and concepts: ¾ Degrees of freedom ¾ Equipartition of energy ¾ Heat capacity of ideal gas ¾ Heat capacity of solids: Dulong-Petit law ¾ Quantum mechanical corrections: Einstein and Debye models Heat capacity of gas, solid or liquid tends to increase with temperature, due to the increasing number of excited degrees of freedom, requiring more energy to cause the same temperature rise. The theoretical approaches to heat capacities, discussed in this lecture,
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Unformatted text preview: are based on rather rough approximations (anharmonicity is neglected, phonon spectrum is approximated by 2 in Debye model, etc.). In practice c p (T) in normally measured experimentally and the results are described analytically, e.g. C p = A + BT + CT-2 for a certain range of temperatures. MSE 3050, Phase Diagrams and Kinetics, Leonid Zhigilei Summary (2) Equipartition theory is only valid if all degrees of freedom are fully excited. Low T, C v High T, C v 3R T C v , J K-1 mol Quantized energy levels E/kT n e ~ P E << kT - classical behavior E kT - quantum behavior 24.9 Energy...
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This note was uploaded on 02/14/2012 for the course MSE 3050 taught by Professor Zhigilei during the Spring '12 term at UVA.

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Heat Capacity_Part_3 - are based on rather rough...

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