Problem 2: Consider four independent magnetic atoms in a magnetic field B parallel to z axis at temperature T. The energy of single magnetic atom is E = -m.B. The magnetic moment of a single atom can take only on one of the two values: m; = ±mo. (a) Calculate the partition function (b) What are the probabilities of finding the six atoms in the state of total magnetization M, = E = -4mo, 0, 4mo correspondingly?

Problem 2: Consider four independent magnetic atoms in a magnetic field B parallel to z axis at temperature T. The energy of single magnetic atom is E = -m.B. The magnetic moment of a single atom can take only on one of the two values: m; = ±mo. (a) Calculate the partition function (b) What are the probabilities of finding the six atoms in the state of total magnetization M, = E = -4mo, 0, 4mo correspondingly?