Solid State Physics 2013
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Re: paramagnestism for general J

Posted by Banana on April 3, 2013, 6:05 pm, in reply to "paramagnestism for general J"

 If you want to be convinced that you can do it later, I think I've managed to go through it correctly. Let x =(beta * g * B * mu_b). The partition function can be written as (e^Jx - e^(J+1)x)/(1-e^x) = sinh(x(J+1/2))/sinh(x/2) -dF/dB = k_B*T(coth((x/B)(J+1/2)) - coth ((x/B)(J-1/2))) Making the small B expansion we have -dF/dB = k_B*T[1/B - 1/B + (x^2/3B)*((J+1/2)^2 - (1/2)^2)] = k_B*T(x^2/B)(J(J+1))/3 And then just differentiate wrt B and multiply by n*mu_0.

 Message Thread paramagnestism for general J - student March 19, 2013, 10:38 pm Re: paramagnestism for general J - Banana April 3, 2013, 6:05 pm Re: paramagnestism for general J - Steve Simon April 3, 2013, 6:32 pm Re: paramagnestism for general J - Banana April 3, 2013, 7:05 pm Re: paramagnestism for general J - Steve Simon April 3, 2013, 7:13 pm Re: paramagnestism for general J - Banana April 3, 2013, 7:24 pm Re: paramagnestism for general J - Steve Simon March 20, 2013, 2:27 am « Back to index