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Heat Capacity / Debye Temperature

  1. May 11, 2008 #1
    1. The problem statement, all variables and given/known data

    We are looking at the molar heat capacity, Cv, of copper over temperatures from 1-300K
    After plotting the numbers and looking at T from 1-15K, then fitting that to a curve. We have to find what the constants [tex]\beta[/tex] and [tex]\gamma[/tex] are in ...
    Cv=[tex]\gamma[/tex]T + [tex]\beta[/tex]T[tex]_{3}[/tex]

    Where Cv= molar heat capacity
    T = temperature
    [tex]\gamma[/tex] and beta are constants.

    Using CurveFit I found
    [tex]\gamma[/tex] = 7.11E-04
    [tex]\beta[/tex] = 4.78E-05

    The question asks to find the limiting value of [tex]\Theta[/tex]D which is the Debyne temperature.

    It also asks what important information is contained in [tex]\gamma[/tex] (I think its electron concentration but wanted to confirm).

    And what is the dominant contribution to Cv at low temperature (I would [tex]\beta[/tex] as it is obviously dominant).

  2. jcsd
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