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We present results of theoretical and experimental studies of the electronic structure and magnetic properties of RFe 4 Al 8, RMn 4 Al 8, and RCr 4 Al 8 compounds with nonmagnetic elements R= Sc, Y, La, and Lu. The electron spectrum and field induced magnetic moment, as well as their dependences on the unit cell volume, are calculated for the paramagnetic phase of the RT 4 Al 8 systems. The calculations are supplemented by measurements of the magnetic susceptibility of representative RT 4 Al 8 compounds as a function of temperature and hydrostatic pressure.