The magnetic properties of hematite (alpha-Fe2O3) particles with sizes of a
bout 16 nm have been studied by use of Mossbauer spectroscopy, magnetizatio
n measurements, and neutron diffraction. The nanoparticles are weakly ferro
magnetic at temperatures at least down to 5 K with a spontaneous magnetizat
ion that is only slightly higher than that of weakly ferromagnetic bulk hem
atite. At T greater than or similar to 100 K the Mossbauer spectra contain
a doublet, which is asymmetric due to magnetic relaxation in the presence o
f an electric field gradient in accordance with the Blume-Tjon model, Simul
taneous fitting of series of Mossbauer spectra obtained at temperatures fro
m 5 K to well above the superparamagnetic blocking temperature allowed the
estimation of the pre-exponential factor in Neel's expression for the super
paramagnetic relaxation time, tau(0) = (6 +/- 4) X 10(-11) s and the magnet
ic anisotropy energy barrier, E-bm/k = 590+/-(150)(120) K. A lower value of
the pre-exponential factor, tau(0) = 1.8+/-X-3.2(1.3) 10(-11) s, and a sig
nificantly lower anisotropy energy barrier E-bm(magn)/k = 305 +/- 20 K was
derived from simultaneous fitting to ac and de magnetization curves. The di
fference in the observed energy barriers can be explained by the presence o
f two different modes of superparamagnetic relaxation which are characteris
tic of the weakly ferromagnetic phase. One mode involves a rotation of the
sublattice magnetization directions in the basal (111) plane, which gives r
ise to superparamagnetic behavior in both Mossbauer spectroscopy and magnet
ization measurements. The other mode involves a fluctuation of the net magn
etization direction out of the basal plane, which mainly affects the magnet
ization measurements.