1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Fermi Energy

  1. Mar 25, 2009 #1
    http://www.ph.ed.ac.uk/~pmonthou/Statistical-Mechanics/documents/SM15.pdf [Broken]

    At the top of page 59 in the above link, I can't see where the first three bullet points that follow

    [itex]E(T=0)=\int_0^{\epsilon_f} g(\epsilon) d \epsilon[/itex]

    come from?

    can anyone help?
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Mar 25, 2009 #2

    phz

    User Avatar

    The first and second bullet point follow from the bottom of page 58. Study the expression for [itex]\epsilon_f[/itex] and see how it depends on [itex]m[/itex] and [itex]N / V[/itex].

    The third bullet point follow from the definition of [itex]k_B[/itex] in a way. [itex]k_B[/itex] relates energy to temperature, so the Fermi temperature associated with the energy of the electrons at the Fermi level is just [itex]T_f = \epsilon_f / k_B[/itex].

    See
    http://en.wikipedia.org/wiki/Fermi_temperature#Fermi_level
    http://en.wikipedia.org/wiki/Boltzmann_constant
     
    Last edited: Mar 26, 2009
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Fermi Energy
  1. Fermi Energy (Replies: 1)

  2. Fermi energy (Replies: 0)

  3. Fermi Energy (Replies: 6)

Loading...