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karnten07
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[SOLVED] Logs rearranging, relates to paramagnetism
I want to show that NlnN - n1ln(n1) - n2ln(n2) is equal to:
-N{(n1/N)ln(n1/N) + (n2/N)ln(n2/N)}
apparently i can do this by the artifice of adding and subtracting the term n1lnN and then regrouping.
I am getting the required form but i also get an additional (LogN-1)(n1/N + n2/N -1)
Im wondering if this cancels out somehow. This question is about paramagnetism and where n1 and n2 are the number of atoms where the moment points up or down respectively.
Homework Statement
I want to show that NlnN - n1ln(n1) - n2ln(n2) is equal to:
-N{(n1/N)ln(n1/N) + (n2/N)ln(n2/N)}
apparently i can do this by the artifice of adding and subtracting the term n1lnN and then regrouping.
Homework Equations
The Attempt at a Solution
I am getting the required form but i also get an additional (LogN-1)(n1/N + n2/N -1)
Im wondering if this cancels out somehow. This question is about paramagnetism and where n1 and n2 are the number of atoms where the moment points up or down respectively.