Derive the magnetization and susceptibility for the free spin You may use
the relation:
Consider a single free spin \$J=S=\tfrac12\$ with magnetic moment \$\mu\_z=g\mu\_B m\$ in a uniform magnetic field \$B\$ (with \$m=\pm\tfrac12\$). The energy of the two Zeeman levels is \$E\_{m}=-\mu\_z B=-g\mu\_B m B\$, so _______ _______ ______ ____ _____ ______ ________ _________ ______ ___ ____ __________.
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