A dilute paramagnetic salt

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Magnetic materials · Magnetic materials

The Boundary-Value Problem, Ch Diamagnetism, paramagnetism and magnetic susceptibility

Problem

A dilute paramagnetic salt, in which each magnetic ion carries one Bohr magneton of moment (

m=\mu_B

), is cooled to liquid-nitrogen temperature

T=77\,\mathrm{K}

in a field

B=0.50\,\mathrm{T}

. ((a)) Compute the ratio

\mu_BB/k_BT

. ((b)) State whether the sample is close to Langevin saturation at this field and temperature, and hence whether the linear Curie law

\chi_m=\mu_0N_vm^2/3k_BT

may be used.