Phenomenological rules for the computation of magneto-electric susceptibilities

Applying the model of the anharmonic oscillator, phenomenological expressions were derived, allowing calculation of the components of tensors describing non-linear magneto-electric susceptibilities. Detailed calculations were carried out for the pseudo-tensor of fourth order ^eeem in terms of which magneto-optical birefringence and rotation are expressed for the monocrystals KDP, DKDP, ADP, KDA, LiNbO₃, LiTaO₃ and NaClO₃. From the results obtained it follows that non-linear magneto-electric susceptibilities, which are described by the pseudo-tensor ^eeem are of the order of 10^–16 m V^–1T^–1.Part of this work was carried out under Research Project MR 15.