(3) A magnetic system at temperature T contains n non-interacting particles per unit volume, each of which has 4 energy levels given by 0, 4, 4 ±µg. = m/V (a) Derive the partition function Z, Helmholtz free energy F, and magnetization (b) Show that the magnetic susceptibility of this system is given by HoM X = lim B→0 B kT(3 + eß4)

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(3) A magnetic system at temperature T contains n non-interacting particles per unit volume, each
of which has 4 energy levels given by 0, 4, 4± µg.
(a) Derive the partition function Z, Helmholtz free energy F, and magnetization M = m/V
(b) Show that the magnetic susceptibility of this system is given by
HoM
X = lim
B→0 B
КТ (3 + eрА)
Transcribed Image Text:(3) A magnetic system at temperature T contains n non-interacting particles per unit volume, each of which has 4 energy levels given by 0, 4, 4± µg. (a) Derive the partition function Z, Helmholtz free energy F, and magnetization M = m/V (b) Show that the magnetic susceptibility of this system is given by HoM X = lim B→0 B КТ (3 + eрА)
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