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Math Help - Microstates of N non-interacting Dipoles

  1. #1
    Junior Member
    Joined
    Sep 2008
    Posts
    28

    Microstates of N non-interacting Dipoles

    Hello,

    I'm having an issue with the beginning of a question, and I think I may be making a very stupid error, but I'm not sure what to do to correct it yet.

    Basically, I need to find the number of microstates available for N particles, which can have a state of N(+) or N(-), where N = N(+) + N(-).

    The Number I got was W(n) = [N-N(+)]!/[(N-N(+)-N(-))!N(-)!] = N(-)!/[(0)!N(-)!) = 1, but this doesn't seem correct to me at all. There should at least be N macrostates, and many more microstates. If anybody can tell me the formula I should be using, or why this one isn't working I would be very appreciative.

    Thank you
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  2. #2
    Senior Member
    Joined
    Mar 2010
    Posts
    280
    In two level system

    <br />
N_1+N_2=N<br />

    <br />
\displaystyle {<br />
W(N_1,N)=\frac{N!}{N_1!(N-N_1)!}<br />
}<br />
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