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Statistical Mechanics

  1. Apr 7, 2008 #1
    1. The problem statement, all variables and given/known data

    Given the width of an energy band of electrons is typically ~10eV, calculate the number of states per unit volume within a small energy range KT about the centre of the band at room temperature.

    K is boltzmanss constant = 8.617*10^-5 eV/K

    2. Relevant equations

    volume of a sphere = 4*pi*(p^2)*dp

    p^2 = 2mE

    g(E) dE = 2*B*(m^3/2)*sqrt E* dE

    p is momentum, E is energy, m is mass, B is some constant (not given)

    3. The attempt at a solution

    so Ive let E = 10eV, and m as the mass of an electron, but we still dont know B, and how room temp plays into the equation...my relevant equations may be wrong, also if you solve for E = p^2 / 2m, and plug it into volume and solve for g(E) dE you get, B/(4*pi)
  2. jcsd
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