The magnetic relaxation of isolated small (< 100 Angstrom) monodomain
magnetic particles is due to superparamagnetic relaxation (predominant
at high temperatures) and eventually quantum tunneling of the magneti
c moment (at low temperatures). The superparamagnetic relaxation proce
ss can be formally described by an (multiple phonon absorption and emi
ssion) Orbach process with an anisotropy Hamiltonian due to crystallin
e or form anisotropy (H) over cap(Ion) = S-z(2) and a usual dynamical
spin-Hamiltonian for the spin-phonon interaction. From this Mossbauer
spectra can be calculated using ab-initio or stochastic methods. Phono
n-assisted tunneling and its influence on Mossbauer spectra are discus
sed.