ARTICLE IN PRESS
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Q.F. Liu et al. / Journal of Magnetism and Magnetic Materials 278 (2004) 323–327
Table 1
Fitting parameters of Mo.ssbauer spectra for Fe0.68Ni0.32 alloy nanowire array with different diameters, in which FWHM, d; DEQ and
Hhf are full-width half-maxminum of the peak, isomer shift, quadruple splitting and hyperfine field, respectively
Linetype
Relative intensity (%)
FWHM (mm/s)
d (mm/s)
DEQ (mm/s)
Hhf (T)
I2=I1
16 nm
60 nm
100 nm
Six
Six
100
100
96
0.5970.01
0.5370.01
0.5270.01
0.3670.01
0.0170.01
0.0270.01
0.0270.01
ꢂ0.0170.01
0.0070.01
0.0070.01
0.0070.01
33.870.1
34.4470.1
34.3670.1
0
0.268
0.268
Six
Single
4
I2=I1 is the intensity ratio of the second and the first peak of Mo.ssbauer spectra.
parallel or antiparallel to the long axis of the
nanowires, which implies that the distribution of
the magnetic moments is controlled by the shape
anisotropy.With increasing diameter, a certain
fraction of the magnetic moments distribute
randomly.However, for a nanowire array with
60 nm diameter, the intensity ratio I2 : I1 is equal
to about 0.268 (shown in Table 1), which is
smaller than 0.66, but larger than 0. Assume that
the mean angle between the magnetic moment and
the long axis of nanowire is y1: From the above
XRD results and previous macro-magnetic mea-
surements [6], the easy axis for the nanowire
is seen to lie along the [1 1 0] direction, which is
parallel to the long axis of the nanowires.The easy
axis corresponding to the magnetocrystalline
anisotropy in bcc FeNi is along the [1 0 0]
direction, i.e. the angle between the long axis of
the nanowire (the [1 1 0] direction) and the easy
axis corresponding to the magnetocrystalline
anisotropy is 45ꢀ.The competition between the
shape anisotropy and magnetocrystalline aniso-
tropy will result in a mean angle y1 smaller than
45ꢀ, but larger than 0ꢀ.According to Eq.(1) and
the fitting results, y1 is calculated to be 11.4ꢀ,
which is in agreement with the above analysis.For
a nanowire array with 100 nm diameter wires, I2 :
I1 is almost equal to that of the nanowire array
with 60 nm diameter, which indicates that the
competition between the shape anisotropy and
magnetocrystalline anisotropy achieves a maxi-
mum.From the macro-magnetic measurement
results [6], we found that the coercivity and
the squareness display little change when the
diameter changes from 60 to 100 nm (the aspect
ratio changes from about 80 to 50).In addition,
micro-magnetic simulations for a single nanowire
indicate that when the aspect ratio is larger
than 10, the macro-magnetic properties show little
change [11].
The other parameters given in Table 1 show
interesting properties compared with FeNi fine
particles [12,13].The full-width at half-maximum
(FWHM) is larger than the normal value for the
iron Mo.ssbauer spectrum, i.e., 0.3 mm/s, which
indicates that the distribution of Ni atoms is
disordered in our Fe0.68Ni0.32 nanowire array
system.The FWHM decreases with increasing
nanowire diameter, which means that Ni atoms
are more disordered with decreasing diameter.
However, the FWHM of the sextets for diameters
of 60 and 100 nm shows little difference, which
implies that when the diameter is increased to
60 nm, the degree of disorder of Ni atoms is near a
maximum.The isomer shift ( d) and quadruple
splitting (DEQ) remain almost constant when the
diameter increases, indicating that the electronic
structure and crystal symmetry are not influenced
by the diameter.The hyperfine field ( Hhf ) changes
from 33.8 to 34.4 T, when the diameter changes
from 16 to 60 nm, and then remains constant.A
Mo.ssbauer investigation of iron nanowire arrays
with the same range of diameters showed that the
hyperfine fields had no change for all diameters
[14], which means that the change of the hyperfine
fields for the Fe0.68Ni0.32 nanowire array is mainly
caused by the introduction of Ni atoms.The
diameter has influence on the hyperfine field by
changing the degree of disorder in the distribution
of the Ni atoms.