EN
Transport integrals I_n(Θ_D/T) are reviewed with their applications in solid-state physics, molecular dynamics, and electron spin-lattice relaxation. Analytical approximations of I_n for n=2-8 are proposed as applicable for computer fitting procedures in the range of the variable x=Θ_D/T from 0.1 to 40. The results are applied for description of the spin-lattice relaxation data collected for Cu^{2+} ions in triglycine sulphate and are compared with relaxation data for Cu^{2+} and Mn^{2+} in (NH_4)_2Mg(SO_4)_2·6H_2O.