Abstract
A method for determination of magnetocrystalline anisotropy constants of arbitrary order is proposed. The method is based on a least squares fitting of a phenomenological anisotropy energy for a given symmetry truncated at an arbitrary order term to a theoretical anisotropy energy computed exactly for a given energy level model. Several applications of the method to cubic systems are considered. The study reveals that the widely used expressions in the literature for the cubic constants K 1 and K 2 in terms of free energy for the three symmetry direction are of rather limitedvalidity only. The higher-order cubic constants K 3, K 4 and K 5 are determined besides the usual K 1 and K 2 in temperature range 0 to 300 K. The importance of the higher- order terms with respect to the first term in the cubic anisotropy energy is discussed. The results show that the cubic constants K 3 and K 4 cannot be neglected for most of the energy level models studied at certain temperatures.
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