Abstract
The energy levels of the gadolinium salt Gd 2(SO 4) 3.8H 2O have been calculated theoretically, taking into account the combined action of the cubic crystalline field and of the external magnetic field. The secular problem of the 8th degree has been solved for all values of the magnetic field for orientations [001], [110] and [111] with respect to the cubic crystalline field. For weak and for strong fields formulae are given, from which the energy levels can be determined for any direction of the magnetic field. The calculated microwave resonance absorbtion spectrum for magnetic dipole transitions in strong fields appears to depend strongly on the orientation of the magnetic field.
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