Limitations of the Giant Spin Hamiltonian in Explaining Magnetization   Tunneling in a Single-Molecule Magnet
  EPR studies of a Ni4 single-molecule magnet yield the zero-field-splitting (zfs) parameters, D, B40 and B44, based on a giant spin approximation (GSA) with S = 4. Experiments on an isostructural Ni-doped Zn4 crystal establish the Ni(II) ion zfs parameters. The 4th-order zfs parameters in the GSA arise from the interplay between the Heisenberg interaction, Js1.s2, and the 2nd-order single-ion anisotropy, giving rise to mixing of higher lying states into the S = 4 state. Consequently, J directly influences the zfs in the ground state, enabling its direct determination by EPR. 
A. Wilson, J. Lawrence, E-C. Yang, M. Nakano, D. N. Hendrickson, S.   Hill