Spin States of s=1/2 Dimer with Non-Collinear Local Axes Exhibiting C2 Permutation Symmetry

Single-ion and exchange anisotropy effects in equal-spin $s^{(1)}=s^{(2)}$ dimeric single molecule magnets exhibiting C2 point group symmetry have been studied. The Hamiltonian which is written in two-spin $4\times 4$ Pauli matrixes representation in the appropriate local coordinates has been used to derive energy levels and eigen spin states. The anomalous variation of the average spin system in dependence of non-collinear misalignment of the local anisotropy axes has been found. Particularly a fully non magnetic state of an $\mathrm{s}=1/2$ spin dimer was predicted.