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The Specific Heat of a Free-Electron gas calculated by using the Fermi

  1. Feb 20, 2013 #1
    1. The problem statement, all variables and given/known data

    Here g(ε_f) is the density of levels at the Fermi energy and T is the temperature. Calculate the specific heat of the electron gas in potassium (K) treating it as a free gas. For a free gas the density of electrons at ε_f is: g(ε_f)=(3/2)(n/E_f) where n is the electron density in the gas. Why is the contribution of the electron specific heat so hard to measure?

    2. Relevant equations

    C_v=(1/3)(∏^2)(k_B)^2Tg(ε_f)

    3. The attempt at a solution

    Okay I'm taking n to be the total number of electrons in potassium(19) I still can't calculate a value for g(ε_f) as I still don't know what to put in for E_f as its not given in the problem. Also I'm not sure what to put in for T. Can I take this as another arbitary value as putting 0K for the temperature at the fermi level causes the equation to collapse.
     
  2. jcsd
  3. Feb 20, 2013 #2
    Re: The Specific Heat of a Free-Electron gas calculated by using the F

    It would be better if you consult from these sites:

    http://www.cmmp.ucl.ac.uk/~ikr/3225/Section 6.pdf
    http://www2.binghamton.edu/physics/docs/note-free-electron-gas.pdf
    http://www.theo3.physik.uni-stuttgart.de/lehre/ss08/sst/Script-AHCN-Chap-6.pdf
    http://phy.ntnu.edu.tw/~changmc/Teach/SS/SSG_note/mchap06.pdf
    http://www2.binghamton.edu/physics/docs/note-free-electron-gas.pdf
     
  4. Feb 21, 2013 #3
    Re: The Specific Heat of a Free-Electron gas calculated by using the F

    I'll have a look at them thanks.
     
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