(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)

(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)