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Fermi Energy

  • Thread starter viviane363
  • Start date
  • #1
17
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Homework Statement


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.


Homework 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


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?
 

Answers and Replies

  • #2
20
0
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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