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Fermi energy calculation

  1. Jun 20, 2009 #1
    1. The problem statement, all variables and given/known data
    We must calculate the Fermi energy of metallic potassium at 0K. We have aleady found the number of atoms per m cubed, we are told that each atom contributes one electron to the free electron gas.

    2. Relevant equations

    Fermi energy = ((hbar^2)/2m)(((3Pi^2)N)/V)^3/2

    3. The attempt at a solution
    My problem is that i dont know what V is supposed to be. I thought that since each K gives one electron to become K+, V might be +e, but that gave a nonsensical answer.
     
  2. jcsd
  3. Jun 21, 2009 #2
    Need more info? better explanation?
    Pls help!
     
  4. Jun 21, 2009 #3

    dx

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    Homework Helper
    Gold Member

    You don't need to know V, since the formula involves V only in the form N/V, i.e. the number of electrons per unit volume.
     
  5. Jun 21, 2009 #4
    ooooooooooooooh, V for volume. Thankyou, i was stuck on thinking voltages.
     
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