The electron-paramagnetic-resonance technique has been used to obtain
an unambiguous identification of resonances between spin-cluster state
s from the distinctive satellite spectra observed in the ranges 10-36
GHz and 2.6-4.2 K from a large single crystal of the one-dimensional I
sing ferromagnet [(CH3)3NH]FeCl3.2H2O, known as FeTAC. The frequency a
nd temperature dependencies of the spectra are explained by the additi
on of the term DELTAS(x) to the Zeeman term in the effective S = 1/2 s
pin Hamiltonian describing the first set of excited cluster states. Th
e spin-cluster levels are the eigenvalues of the resulting tridiagonal
matrix, and lead to a satellite structure in FeTAC which is independe
nt of the chain length for chains of more than about 30 Fe2+ ions.