Pc. Fannin et al., A STUDY OF THE EFFECT OF AN EXTERNAL MAGNETIC-FIELD ON THE RESONANT-FREQUENCY OF MAGNETIC FLUIDS, Journal of magnetism and magnetic materials, 162(2-3), 1996, pp. 319-326
The complex magnetic susceptibility, chi(omega)=chi'(omega)-i chi ''(o
mega), of two magnetic fluids has been measured over the frequency ran
ge 0.1 to 6 GHz, and ferromagnetic resonance observed, indicated by th
e real component of the susceptibility going negative at a frequency,
f(res). In this study the dependence of f(res) on the presence of an e
xternal magnetic field, H, in the approximate range 0 to 68 kA/m has b
een examined for colloidal suspensions of magnetite particles and coba
lt particles in isopar M. In both cases, plots of this dependence are
found to be linear with slopes having values of the magnetogyric ratio
, gamma, within experimental error. These plots enable the average Val
ue of the internal anisotropy field, <(H)over bar (A)>, to be measured
, from which mean values of the magnetic anisotropy constant of the pa
rticles, (K) over bar, are derived. The experimental profiles of chi'(
omega) and chi ''(omega), for the magnetite particle system as a funct
ion of H, have been fitted to modified equations of Raikher and Shliom
is suitably adapted to include a normal distribution of particle energ
y barriers, KeffV, to the rotation of the magnetic moments. It is foun
d that K,,V varies linearly with increasing H, whilst the standard dev
iation of the distribution of KeffV decreases with increase in H. The
main contribution to the resonant linewidth, Delta omega, for the larg
er Values of H, arises from the mean random spacial distribution of H-
A, and is given by <gamma(H)over bar (A)>,. This is consistent with th
e experimental observations.