Journal of Magnetism and Magnetic Materials 269 2004 404–409a Department of Physics, Wichita State University, Wichita, KS 67260, USA b Faculty of Physics, Vietnam National University an
Trang 1Journal of Magnetism and Magnetic Materials 269 (2004) 404–409
a Department of Physics, Wichita State University, Wichita, KS 67260, USA
b Faculty of Physics, Vietnam National University and International Training Institute for Materials Science, Hanoi, Viet Nam
Received 5 May 2003
Abstract
Substitution of nonmagnetic Si for Fe in La(Fe1xSix)13lowers the magnetic moment but surprisingly raises the Curie temperature.To provide a basic knowledge of the charge distribution as perturbed by Si, M.ossbauer measurements were made on the compound with x ¼ 0:19 in its paramagnetic state.Detailed analysis of the highly accurate quadrupole splittings thus obtained indicates that Si has a preference to substitute Fe in one of its two non-equivalent sites in the cubic structure, and reduces the Fe magnetic moment through a redistribution of 3d electrons between the spin-up and -down sub-bands
r2003 Elsevier B.V All rights reserved
PACS: 76.80; 61.18.F
Keywords: Paramagnetic M ossbauer spectroscopy; Atomic-site distribution; La(Fe 1x Si x ) 13
1 Introduction
In materials research and development, one of
the elements in a model compound is often
partially or even totally substituted by others,
thus to induce or enhance a specific property of
interest.Typical examples can be easily found in
magnetic rare earth-transition metal intermetallics,
high-temperature superconductors and giant
mag-netoresistive materials, as well as well-developed
ferrites.Needless to say, such an approach has been quite fruitful in the practical sense.Toward a fundamental understanding of partial substitution, though, there is clearly a basic question as to where the original and the substituting elements are located, whenever there are two or more nonequivalent sites for them in the lattice.Beyond that, their distribution in a given site can be treated statistically.One should consider then the effect on the electronic configuration due to the various nearest-neighbor arrangements.This is indeed the
In the limited concentration range with x
*Corresponding author.Tel.: 9783994; fax:
+1-316-9783350.
E-mail address: hussein.hamdeh@wichita.edu
(H.H Hamdeh).
0304-8853/$ - see front matter r 2003 Elsevier B.V All rights reserved.
doi:10.1016/j.jmmm.2003.07.004
Trang 2ferromagnetic state at relatively low temperatures.
Through the substitution of nonmagnetic Si for
Fe, the magnetic moment of Fe decreases as
surpris-ingly increases.While this behavior has not been
observed in other intermetallic compounds based
on rare earth-iron, a similar one is known to occur
potential for applications, along with the
occur-rence of an itinerant electron metamagnetic
their magnetic properties, the aforementioned
question about the Fe and Si distribution in the
lattice obviously needs to be addressed.There are
actually two nonequivalent sites of Fe in the cubic
on the Si preference between these two sites.This
spectro-scopy to successfully solve the ambiguity.Just as
important, it clarifies the charge distribution in
such a Si-substituted compound
known to be useful in elucidating the degree of
inversion in ferrites having also two nonequivalent
earth-iron intermetallics having three nonequivalent Fe
hyperfine magnetic fields as deduced from the
spectra obtained in a magnetically ordered state
External magnetic fields are often applied to
delineate the individual sextet components.In
contrast, this report will offer a more conclusive
deter-mined quadrupole splitting (QS) distribution of a
zero-field spectrum obtained in the paramagnetic
2 Experimental
by arc-melting a weighted mixture of La (3N), Fe
(4N) and Si (5N) in a purified argon atmosphere,
M.ossbauer studies in the paramagnetic state at
300 K were made on a thin disk of powder sample The spectrum was obtained in a transmission
a standard constant acceleration spectrometer
3 Results and discussion
asym-metric and off-centered peaks clearly indicate a distribution of the QS values and a strong correlation between QS and the isomer shift (IS)
It is worthwhile to note that, in the absence of magnetic order and applied magnetic field, QS is measured with great accuracy.To obtain the QS distribution, the experimental data are fitted by two different methods
data fitting to a linear relation between QS and IS (relative to pure a-Fe) yields
shows three remarkably distinct peaks, corre-sponding to different Fe environments.The middle one, which is significantly broader than the two side peaks, is believed to be the envelop of
2θ(degree)
Fig.1 X-ray diffraction pattern of the single-phase La(Fe 0.81
-Si 0.19 ) 13 sample with a NaZn 13 structure.
Trang 3overlapped sub-peaks associated with Fe having
same width of the third peak, this middle peak was
deconvoluted into three sub-peaks.To find the
area under each peak, the QS distribution was
fitted to five Gaussian functions sharing the same
width.All parameters including the shared width are freely adjusted by the fitting routine
In the second method, the original spectrum is fitted to a sum of three independent doublets in
Fig.4, each with its own line width, IS and QS as fitting parameters.The QS and IS values from the
agreement appears to be reasonable, in terms of the comparison between Peak I and Doublet I, Peak II and Doublet II, and Peak III and Doublet III, respectively.It should be noted that these two seemingly independent approaches actually comple-ment each other.The first method forms the basis of the discussion below on Si site preference.The second method relies on the first one to decide the number of fitting components required, 3 doublets in this case Once decided, it yields a better fit to the data
formula units.Fe atoms occupy two different sites designated as 8(b) and 96(i) according to the Wijckoff notation.The ratio of the minority site, 8(b), to the majority site, 96(i), is 1:12.For the
0:92Þ13
from heat-of-formation analysis that the substitu-tion of Si proceeds in a more or less random way
QS (mm/s)
0
1
2
3
4
5
6
Fe I
FeII
FeII
Fig.3 QS distribution obtained by the first method, from the
M ossbauer spectra in Fig.2 The peaks correspond to the Fe
sites as labeled.
Velocity (mm/s)
Fig.4 Second method of data fitting yields three doublets.The solid lines represent the three doublets and their sum.
Velocity (mm/s)
Fig.2.Paramagnetic M ossbauer spectrum at 300 K, showing
an asymmetric doublet.The solid line is calculated from the QS
distribution of Fig.3
Trang 4there is apparently no preference of Fe or Si for the
8(b) site.On the other hand, based on a neutron
concluded that there is a very strong preference for
the Al atoms to occupy the 96i site, with no Al
occupancies at the 8b site
crystal-lographic information and knowing that QS is
zero in a cubic symmetry, Peak I (Doublet I)
Furthermore, the approximately 10% area
frac-tion, based on the average of Peak I and Doublet I
in Table 1, suggests that the minority sites are
in a modified formula of the partially
conclusion contradicts with that of Palstra et al
ternary rather than a pseudo-binary compound as
The next step is to consider the nature of Peak
II, along with its three sub-peaks, and Peak III
Most likely they represent a consequence of
atoms in the lattice.After all, QS results from the
interaction of the Fe nuclear quadrupole moment
with the electric field gradient (EFG).In other
words, variations of QS could reflect the
distribution of Si atoms on the majority sites as
given by the binomial function:
then normalized as P to a total of 90%, leaving
I or Doublet I.The first three populations should correspond to the three sub-peaks, II-1, II-2 and
producing the easily resolvable Peak III and Doublet III.It can be seen that the theoretically
agreement with the area ratio between Doublet II and Doublet III (63.3% versus 25.9%) The not-so-consistent area ratio between Peak II and Peak III (51.2% versus 39.6%) is likely caused by the inadequacy of the linear relation between IS and
QS in Eq.(1) The IS–QS relation in the second method is non-linear.Even so, the result can still
be used as a basis to discuss the effect on electronic configuration due to Si-substitution
The two fundamental sources for QS-inducing EFG at a Fe nucleus are the electrons of the atom itself and the charges on neighboring atoms having
a lower than cubic symmetry.Since the EFG due
to neighboring atoms is anti-shielded by the electrons on the Fe atom, electrons in the partially filled and non-spherical 3d shell create a greater EFG at the nucleus.Basically, the lattice provides the crystalline electric field that lifts the degeneracy
of 3d states, which in turn causes EFG at the
Table 1
IS, QS, and integrated area of individual components of the M ossbauer spectrum delineated through two different analytical methods
51.2
Trang 5nucleus.Therefore, the observed increase in QS
increase in 3d electrons charge and/or distortions
different number of Si as nearest neighbors
Considering the relation between IS and the Fe
suggests that Si atoms reduce the net charge
density of s-electrons at the Fe nucleus.This could
be caused either directly by changes in the density
of 4s electrons at the Fe nucleus or indirectly by
changes in the 3d states.The influence of the latter
on IS is minor and takes place through screening
effects on core s-electrons.Accordingly, charge
transfers of 4s and 3d electrons have opposing
contributions, as non-local and local components,
to the increase in IS.The non-local component
was attributed to Si atoms beyond the nearest
neighboring shell.The chemical electronegativity
of Si (1.90) is greater than that of Fe (1.83), and
acts to deplete the 4s electrons at the nucleus, thus
enhancing IS.Here, we make use of this finding
and the lack of complications from polarization,
to further our understanding of the effect of Si
atoms on the 3d states.The IS value here as well as
perturbation to IS by nearest neighboring Si atoms
to either the loss of Fe-3d polarization or the loss
of Fe-3d charge.Although a reduction in Fe-3d
charge alone should make IS less positive, but the authors prefer the loss of Fe-3d charge based on a chemical trend for IS from 3d and 4d transition metal solutes.The relationship between IS and the
changes in 3d electrons of +0.001, +0.002, and
2, and 3, respectively.These changes, by them-selves, are not significant to justify the reduction of
increase goes to the 3d spin down band.The behavior of QS, IS and magnetic moment, how-ever, can all be explained by the effects of Fe-3d and Si-sp states hybridization.In this context, it is useful to recall and utilize the previously reported
of the Fe-3d band, the minority-spin down of the Fe-3d band strongly overlaps with the minority-spin down of the Si-sp band, which apparently enhances the screening of the s-like electrons from the nucleus.Also, the interaction between the two overlapping bands may have lowered their en-ergies with respect to that of the majority-spin up
of the Fe 3d-band.Consequently, electrons from the Fe-3d spin-up band drop to the lower energy band of Fe-3d and Si-sp spin-down, thus causing the observed significant reduction in the Fe magnetic moment
comprehen-sive QS and IS values, from which the distribution
of Fe and Si atoms between the two nonequivalent
The charge distribution is then correlated to the number of nearest neighboring Si atoms to a given
Fe atom and discussed in terms of the Fe-3d and Si-sp hybridization.The trends of the local isomer shift, the quadrupole splitting and the Fe magnetic moment are best attributed to the redistribution of the Fe-3d electrons between the spin-up and -down sub-bands
Acknowledgements This work is partially supported by the Vietnam National University, Hanoi, under the Research Grant No.QGTD-00-01
Table 2
Calculated probability P for different Nnn(Si) based on Eq.(2)
64.8
After being normalized by a factor of 0.9, the P values are
comparable to the area percentages for Doublet II and Doublet
III (or Peak II, along with its three sub-peaks, and Peak III,
even though to a less degree in agreement) in Table 1 , revealing
the Si distribution and the origin of the various peaks of the
M ossbauer spectrum.
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