1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: Firmi-Dirac Stats. - Calculate number of microstates.

  1. Apr 23, 2012 #1
    1. The problem statement, all variables and given/known data

    Determine the number of microstates where two particles have have energy 2eV, three have 3eV, three have energy 4eV, and two have 5eV.

    10 indistinguishable Particles
    1 particle allowed per state.

    ε1 = 1eV ε2 = 2eV ε3 = 3eV ε4 = 4eV ε5 = 5eV ε6 = 6eV
    g1 = 1 g2 = 5 g3 = 10 g4 = 10 g5 = 5 g6 = 1

    2. Relevant equations[itex]\textit{}[/itex]

    possibly [itex]\overline{n}[/itex]i=[itex]\frac{1}{\textbf{e}^{(ε_{i}-μ)/kT}+1}[/itex]

    3. The attempt at a solution

    Since the particles are indistinguishable I thought that there would only be one microstate, but I don't think that this is right... can someone point me in the right direction on how to start this problem?
  2. jcsd
  3. Apr 23, 2012 #2
    figured it out, was missing a very relevant equation.
    w_{\text{FD}}\left(N_1,N_2,\text{...}N_n\right)=∏ \frac{g_j!}{N_j!\left(g_j-N_j\right)!}
    evaluates to 1,440,000
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook