STRUTTURA DELLA MATERIA 1 - 21 Sept 2022 - solutions

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  1. 3 components; 9.574 mm
  2. 128.8 pm; the 186.8 μm line (L=4)
  3. Define x=ε/(kB T). (a) CV = N kB x²exp(x)/(1+exp(x))²; (b) CV ≈ (kB/N) x²exp(x)/(1+exp(x)/N)². Good agreement for exp(x) >> N, alias T << ε/(kB log(N)). For the problem data x=23.209, (a) CV = 6.192×10-25 J/K; CV = 6.192×10-21 J/K (b) CV = 6.191×10-25 J/K; CV = 1.844×10-21 J/K;
  4. 742669 Pa; 3.369 mJ/(mol K)
created: 23 Sept 2022
last modified: 23 Sep 2022
by Nicola Manini