360
V.G. Miagkov et al. / Journal of Magnetism and Magnetic Materials 258–259 (2003) 358–360
ters in matrix Al
[
2
O
3
are superparamagnetic, is B10 nm
12]. It is proposed that in the explored samples, the Fe
utilized for deriving granular mediums. So granular Fe–
Al O films were obtained after solid-phase reaction
2
3
nanocluster size distribution is in the size range of a few
tens of nanometers. In this case, it is assumed that both
superparamagnetic and ferromagnetic nanoclusters co-
exist in the obtained films. It is necessary to note that the
hysteresis loop does not occur at temperature 77 K. It
should be noticed that the blockage temperature TB of
iron nanoparticles, which are superparamagnetic, lies
below this temperature (liquid nitrogen). The formation
of reaction products occurs solely at the SHS front. The
characteristic time of reaction will be defined as t ¼
2 3
between Al and Fe O layers. The iron nanoclusters
have (1 1 0) texture. The equation of reaction defines that
the volume part of iron is lower than the percolation
threshold. It is proposed that the iron nanoclusters in
the obtained samples are in the form of superparamag-
netic and ferromagnetic states.
Acknowledgements
2
t=V ; where t is the thermal diffusivity of the bilayer
f
sample. Supposing that t is defined by the thermal
The authors would like to thank Dr. I.A. Turpanov
and Dr. S.M. Zharkov for technical assistance. Kra-
noyarsk Foundation of Science has supported this work
under grant No. 11F001C.
ꢁ
7
2
diffusivity of metal oxide t=(1–5) ꢀ 10 m /s and the
front rate of SHS initiation temperature
Vf B1 ꢀ 10ꢁ m /s, we shall obtain an estimate of the
reaction characteristic time t ¼ 1 ꢀ 10ꢁ3c: Supposing
that reaction goes in solid phase at a temperature close
to the metal’s melting point and considering diffusion
D ¼ 10ꢁ12210ꢁ14 m /s, we shall obtain an estimate of
2
2
2
1=2
References
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sion electron microscope coincides with the size deter-
mined by X-ray diffraction and calculation on the basis
of the SHS front kinetic.
[
[
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In the present report it was shown that solid-phase
reaction, which takes place in SHS mode, could be