STRUTTURA DELLA MATERIA 1 - 15 Apr. 2015 - solution
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9 components; 0.0289 radians
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ε = 0.871 meV;
2.00 meV [> ε!!];
0.253 meV
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Define x=ε/(kB T).
(a) CV ≈ (kB/N) x²exp(x)/(1+exp(x)/N)²;
(b) CV = N kB x²exp(x)/(1+exp(x))².
Good agreement for exp(x) >> N,
alias T << ε/(kB log(N)).
For x=23.209,
(a) CV = 6.191 10-25 J/K;
CV = 8.721 10-23 J/K;
(b) CV = 6.192 10-25 J/K;
CV = 6.192 10-19 J/K
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461.7 nm