ARTICLE IN PRESS
366
H. Bi et al. / Journal of Magnetism and Magnetic Materials 277 (2004) 363–367
2
+
HRTEM micrograph shows a large amount of
surface defects (crystallite A) and lattice distortion
magnetization per Ni calculated by Kodama for
the ultrafine NiO particles system (about 5 nm in
size) has a close value with the studied sample
(
crystallite B) for the NiO NCs.
In order to further confirm this result, the XRD
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(about 0:02 m per Ni ) [12]. Maybe the present
B
pattern and the strain analysis were carried out.
Fig. 5(a) shows the XRD spectrum of NiO NCs.
XRD pattern also demonstrates that only NiO
phase is found out in the sample. The broad
diffraction peaks for the vacuum annealed sample
suggest that ultrafine NiO particles were obtained.
Williamson–Hall relationship was used to calcu-
late the effect of the grain size and lattice
distortion ratio (strain) on the lattice expansion
result confirms those in Kodama et al. by
extending them to a smaller size.
Based on the result of XRD strains analysis, it
should be mentioned that a lager deviation from
the antiferromagentic characteristics for the stu-
died ultrafine particle system than that for 15 nm
NiO particle system even in our sample exhibits a
weak ferromagnetic-like behavior at low tempera-
ture and this suggests that the large magnetization
found in our sample may be attributed not only to
the broken bonds and the reduced coordination,
but also to the lattice distortion. It is well known
that the lattice distortion usually occurs for the
nanoscaled particles. XRD and HRTEM results
have also verified this phenomenon in the studied
sample. For antiferromagnetic oxides, such as
NiO, MnO, Co O , the magnetic coupling through
[
19]. It is expressed as:
0
:9l
4ðDdÞ sin y
d cos y
bTotal ¼ bSize þ bStrain
¼
þ
;
ð1Þ
t cos y
where bTotal is the full-width at half-maximum of
the XRD peak, l is the incident X-ray wave length,
y is the diffraction angle, t is the crystal size, and
Dd is the difference of the d spacing corresponding
to a typical peak. A plot of bTotal cos y against
3
4
the super-exchange interaction is sensitive to the
local environment, such as the length and angle of
bonds. The variation of lattice parameters should
influence the strength of super-exchange interac-
tion, even change the sign of magnetic coupling
resulting in the appearance of weak ferromagnet-
ism. Considering the XRD fitting result, a large
lattice expansion takes place for 5 nm NiO NCs. It
is believed that the weak ferromagnetism is
attributed to the combined effects of the lattice
distortion and the broken bonds.
4
sin y yields the crystal size from the intercept
value, and the strain (Dd=d) from the slope.
Diffraction angles were measured from 25 to
ꢂ
ꢂ
8
5 , which cover five peaks for NiO NCs (Fig. 5(a)
and (b) shows the linear fitting result by use of
Williamson–Hall relationship. From this plot, an
average grain size of 5.0370.71 nm (which agrees
with the TEM and HRTEM results) and a lattice
ꢀ
3
distortion ratio (strain) of (3.6970.93) Â 10 are
obtained, indicating a large lattice distortion in the
NiO NCs.
The large coercivity and exchange bias in 5 nm
NiO NCs are described as the exchange coupling
between surface and inner spins. Much recently, in
some nanoscaled ferromagnetic or anntiferromag-
neitc oxides system, such as NiFe O , CoFe O ,
Generally, the large permanent magnetic mo-
ments and superparamagnetic characteristics of
nanoscaled antiferromagnetic particles are attrib-
uted to the broken symmetry at the surface and
broken bonds [20–22]. The origin of the magnetic
properties in AFN was explained by Kodama
in terms of broken bonds and exchange restriction
2
4
2
4
a-Fe O , and MnO, and so on, [20,22–27] a
2
3
surface layer with non-collinear spins has been
demonstrated by means of M o. ssbauer spectra and
polarized neutron diffraction, etc. [20,23,26,27]. A
clear separation of core and shell magnetic proper-
ties has been reported. In this picture, the
nanocrystallite is described as a magnetic bilayer
with a spherical symmetry. One should then
consider two magnetic media with different
anisotropies, interactions and magnetic structure.
The influence of the surface anisotropy has also
[
12]. Non-collinear magnetic structures are formed
due to the combined effects of missing bonds
and exchange restriction. In comparison with
Kodama’s result of 700 m per particle with grain
B
size of 15 nm [12], the net magnetic moments per
unit volume of our NiO NCs are 7.9 times larger
than that of his value. Considering the non-linear
effect of non-collinear magnetic structures, the net