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Statistical Mechanics

  • Thread starter nadeemo
  • Start date
19
0
1. Homework Statement

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. Homework 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)
 

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