(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±µµB. (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 + е-BA)

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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 ± µµB.
(a) Derive the partition function Z, Helmholtz free energy F, and magnetization M =
(b) Show that the magnetic susceptibility of this system is given by
m/V
HọM
X = lim
B→0 B
КT (3 + е-BA)
e
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 ± µµB. (a) Derive the partition function Z, Helmholtz free energy F, and magnetization M = (b) Show that the magnetic susceptibility of this system is given by m/V HọM X = lim B→0 B КT (3 + е-BA) e
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