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Homework Help: Heat capacity of a solid using the Einstein model

  1. Aug 23, 2009 #1
    1. The problem statement, all variables and given/known data

    Plot the heat capacity as a function of temperature for aluminium, using the Einstein model.

    2. Relevant equations

    The Einstein model for heat capacity:



    3. The attempt at a solution

    The model assumes that the frequencies of all the harmonic oscillators in the material are the same. But does it mean "same for all temperatures" or "same for a given temperature"? And if the latter is true, will I need to find a function [tex]\epsilon (T)[/tex]? Because otherwise the right hand side of the Cv equation wil have two free variables. Thankful for help, my textbook is very unclear about this.
    Last edited by a moderator: Apr 27, 2017
  2. jcsd
  3. Aug 23, 2009 #2


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    In this model, the frequency of each oscillator is the same at all temperatures, but the energy varies with temperature. Define


    Plot C(1/x) / 3Nk vs. x which is a dimensionless plot, good for any choice of specific values. Here, it's the shape that counts.
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