Computationally inexpensive interpretation of magnetic data for finite spin clusters

Abstract

We show that high-temperature expansion of the partition function is a computationally convenient tool to interpretation of magnetic properties of spin clusters wherein the spin centers are interacting via an isotropic Heisenberg exchange operator. High-temperature expansions up to order 12 are used to reproduce temperature dependent magnetic susceptibilities of a Cr(III) tetramer, a decanuclear Fe(III) wheel, a 3x3 grid arrangement of nine Mn(II) ions, and a dodecanuclear Ni(II) wheel. Excellent agreement with experiments as well as with results from computationally more elaborate methods is achieved.