Heat Capacity_Part_1

Heat Capacity_Part_1 - Theoretical calculation of the heat...

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MSE 3050, Phase Diagrams and Kinetics, Leonid Zhigilei Theoretical calculation of the heat capacity ¾ Principle of equipartition of energy ¾ Heat capacity of ideal and real gases ¾ Heat capacity of solids: Dulong-Petit, Einstein, Debye models ¾ Heat capacity of metals – electronic contribution Reading: Chapter 6.2 of Gaskell
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MSE 3050, Phase Diagrams and Kinetics, Leonid Zhigilei Degrees of freedom and equipartition of energy For each atom in a solid or gas phase, three coordinates have to be specified to describe the atom’s position – a single atom has 3 degrees of freedom for its motion. A solid or a molecule composed of N atoms has 3N degrees of freedom. We can also think about the number of degrees of freedom as the number of ways to absorb energy. The theorem of equipartition of energy (classical mechanics) states that in thermal equilibrium the same average energy is associated with each independent degree of freedom and that the energy is ½ k B T. For the interacting atoms, e.g. liquid or
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