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Fermi Energy

  1. May 3, 2009 #1
    1. The problem statement, all variables and given/known data
    I am wondering about something:
    Calculate the Fermi energy for the neutrons confined to a nucleus with 40 protons and 50 neutrons which roughly forms a sphere of radius 4.6 10^(-15) m.


    2. Relevant equations
    the formula of the fermi Energy is EF= ((h-bar)^2*(3*pi^2*n)^(2/3))/2m
    m:mass of electron, n = number density of electron


    3. The attempt at a solution
    Then, in the problem we are given protons and neutrons. Where does influence the formula? and where do we use the radius there is one relation that is n = N/V ( N= protons+Neutrons)
    and V is the volume of the sphere.
    is it right?
    Also, do we use the mass of electron or the mass of proton = neutron this time?
     
  2. jcsd
  3. May 3, 2009 #2
    The mass should be of fermions in general - not just electrons. Same with the number density. And since protons and neutrons are fermions, you're equation should work.
     
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