Applications of the Transport Integrals in Solid-State Physics and in Electron Spin Relaxation

Transport integrals I$\text{}_{n}$(Θ$\text{}_{D}$/T) are reviewed with their applications in solid-state physics, molecular dynamics, and electron spin-lattice relaxation. Analytical approximations of I$\text{}_{n}$ for n=2-8 are proposed as applicable for computer fitting procedures in the range of the variable x=Θ$\text{}_{D}$/T from 0.1 to 40. The results are applied for description of the spin-lattice relaxation data collected for Cu$\text{}^{2+}$ ions in triglycine sulphate and are compared with relaxation data for Cu$\text{}^{2+}$ and Mn$\text{}^{2+}$ in (NH$\text{}_{4}$)$\text{}_{2}$Mg(SO$\text{}_{4}$)$\text{}_{2}$·6H$\text{}_{2}$O.