The ordered double perovskite PrBaCo2O6: Synthesis, structure, and magnetism
-
Upload
independent -
Category
Documents
-
view
1 -
download
0
Transcript of The ordered double perovskite PrBaCo2O6: Synthesis, structure, and magnetism
The ordered double perovskite PrBaCo2O6: Synthesis, structure, andmagnetismMd. Motin Seikh, V. Pralong, O. I. Lebedev, V. Caignaert, and B. Raveau Citation: J. Appl. Phys. 114, 013902 (2013); doi: 10.1063/1.4812368 View online: http://dx.doi.org/10.1063/1.4812368 View Table of Contents: http://jap.aip.org/resource/1/JAPIAU/v114/i1 Published by the AIP Publishing LLC. Additional information on J. Appl. Phys.Journal Homepage: http://jap.aip.org/ Journal Information: http://jap.aip.org/about/about_the_journal Top downloads: http://jap.aip.org/features/most_downloaded Information for Authors: http://jap.aip.org/authors
Downloaded 01 Jul 2013 to 192.93.101.169. This article is copyrighted as indicated in the abstract. Reuse of AIP content is subject to the terms at: http://jap.aip.org/about/rights_and_permissions
The ordered double perovskite PrBaCo2O6: Synthesis, structure,and magnetism
Md. Motin Seikh,a) V. Pralong, O. I. Lebedev, V. Caignaert, and B. Raveaub)
Laboratoire CRISMAT, UMR 6508 CNRS ENSICAEN, 6 bd Marļæ½echal Juin, 14050 CAEN, France
(Received 16 May 2013; accepted 10 June 2013; published online 1 July 2013)
The stoichiometric layered perovskite cobaltite PrBaCo2O6 has been synthesized using an oxidative
reaction of PrBaCo2O5.80 by sodium hypochlorite. The ferromagnetic properties of this oxide,
which exhibits the highest TC of 210 K among the ā112ā layered cobaltites, are interpreted by
double exchange mechanism. In contrast, the creation of oxygen vacancies in this framework leads
for the oxides PrBaCo2O5Ć¾d (0.80ļæ½ d< 1) to a strong competition between ferromagnetism and
antiferromagnetism due to the appearance of superexchange Co3Ć¾āOāCo3Ć¾ antiferromagnetic
interactions. VC 2013 AIP Publishing LLC. [http://dx.doi.org/10.1063/1.4812368]
INTRODUCTION
Layered oxygen deficient ā112ā cobalt perovskites with
the generic formulation LnBaCo2O5Ć¾d have been the object
of considerable investigations due to their attractive physi-
cal properties such as ferromagnetism, metal-insulator
transition, and high magnetoresistance [for a review see
Ref. 1]. In this structural family, the oxygen content and the
ordering of the Ln3Ć¾ and Ba2Ć¾ cations and of the anion
vacancies play a crucial role in the magnetic properties, as
exemplified from their ability to exhibit metal-insulator
transition,2ā4 giant magnetoresistance,5ā9 charge order-
ing,6,10 and also spin-state transition.11,12 Such systems are
also quite remarkable by the great difficulty to synthesize
the ordered stoichiometric perovskite, corresponding to
dĀ¼ 1. The ordered stoichiometric perovskite LnBaCo2O6,
which consists of the 1:1 ordered stacking of LnO and
BaO layers, could only be synthesized to date for LnĀ¼La
and Nd.13ā17 In fact, the synthesis of the ā112ā layered
LaBaCo2O6 perovskite requires special conditions of syn-
thesis, starting from the reduced cobaltite LaBaCo2O5
and annealing it in oxygen at low temperature at around
ļæ½350 ļæ½C, in order to avoid the formation of the disordered
stoichiometric perovskite La0.5Ba0.5CoO3.13ā16 The ordered
layered ā112ā perovskite NdBaCo2O6 cannot even be
obtained by direct solid state reaction method and requires
soft chemistry synthesis.17
The recent studies of the ā112ā layered cobaltites
PrBaCo2O5Ć¾d [Refs. 18ā20] have shown a strong competi-
tion between antiferromagnetic (AFM) and ferromagnetic
(FM) interactions in this system. Interestingly, the authors
have demonstrated that the dependence of the magnetic
properties on oxygen content in this series can be linked to
the distortion of the cobalt oxygen polyhedra but could not
reach d values larger than 0.9, due to their experimental
conditions. In the present paper, we show the possibility
to synthesize the ordered perovskites PrBaCo2O5Ć¾d, with
0.8ļæ½ dļæ½ 1, using an efficient oxidation reaction by sodium
hypochlorite. The evolution of the magnetic properties of
these oxides versus the oxygen content is studied, showing
that a pure ferromagnetic state is observed for PrBaCo2O6,
which TC of 210 K is the highest that has been reached to
date for the ā112ā layered cobaltites.
CHEMICAL SYNTHESIS
Bearing in mind that the aim of this study was to suc-
ceed to synthesize the layered ā112ā cobaltite PrBaCo2O6,
we have first prepared an oxygen rich member of the
PrBaCo2O5Ć¾d family, using the classical solid state reaction
from the oxides Pr6O11, Co3O4, and BaCoO3 mixed in the
stoichiometric Pr:1/Ba:1/Co:2 ratio, heated in air at 1100 ļæ½Cand slowly cooled down to room temperature. The mixture
was heated several times for 24 h, and ground between each
thermal treatment in order to get a good homogeneity. The
iodometric titration analysis of the final product, allowed the
oxygen content to be determined leading to the composition
PrBaCo2O5.80. The purity of this phase and its crystallo-
graphic nature were checked from its X-ray powder diffrac-
tion (XRPD) pattern, confirming that it belongs to the ā112ā
tetragonal ordered oxygen deficient perovskite family in
agreement with previous studies.18ā20 Then in a second step
the oxide PrBaCo2O5.80 was oxidized at room temperature in
the presence of a sodium hypochlorite solution, according
to a method previously used to oxidize cobalt or nickel
oxides.21 Using NaClO as oxiding agent, the chemical oxida-
tion was performed from 0.5 g of PrBaCo2O5.80 added to a
solution of 200 ml NaClO (13% chlorine active) and stirred
for different times, the solution being renewed every week.
The samples were then washed with distilled water, in order
to eliminate NaClO, filtered, and dried in an oven at 60 ļæ½C.
In this way, different compounds could be isolated and were
shown to exhibit the ā112ā structure with the generic for-
mula PrBaCo2O5Ć¾d. The oxygen content corresponding to
d values of 0.93, 0.95, and 1, depending on the time of
exposure to the solution (Table I), were determined from
iodometric titration. Note that the synthesis of the limit stoi-
chiometric oxide PrBaCo2O6 (dĀ¼ 1) required an exposure
a)On leave from Department of Chemistry, Visva-Bharati University,
Santiniketan 731235, India.b)Author to whom correspondence should be addressed. Electronic mail:
[email protected]. Tel.: Ć¾33 2 31 45 26 16. Fax: Ć¾33 2 31 95
16 00.
0021-8979/2013/114(1)/013902/5/$30.00 VC 2013 AIP Publishing LLC114, 013902-1
JOURNAL OF APPLIED PHYSICS 114, 013902 (2013)
Downloaded 01 Jul 2013 to 192.93.101.169. This article is copyrighted as indicated in the abstract. Reuse of AIP content is subject to the terms at: http://jap.aip.org/about/rights_and_permissions
time of one month to the NaClO solution, according to the
reaction:
PrBaCo2O5:80 Ć¾ 2NaClO! PrBaCo2O6 Ć¾ 2NaClĆ¾ 0:9O2:
STRUCTURAL CHARACTERIZATION
The XRPD patterns of these PrBaCo2O5Ć¾d oxides (Fig. 1)
registered with a Panalytical XāPert Pro diffractometer under a
continuous scanning mode in the 2h range 5ļæ½ā120ļæ½ and step
size D2hĀ¼ 0.017ļæ½ with Cu Ka radiation, confirm that they are
single phase, with the tetragonal P4/mmm symmetry, character-
istic of the ā112ā-type structure, showing a doubling of
the c parameter with respect to the cubic perovskite, i.e., a Ā¼ b
ļæ½ ap and cļæ½ 2ap. The lattice parameters deduced from Rietveld
refinements22 (Table I) vary only slightly in this small composi-
tion range, indicating a small expansion of the c parameter and
a small contraction of the a parameter for PrBaCo2O6 (dĀ¼ 1)
compared to PrBaCo2O5.8 (dĀ¼ 0.80). The structural quality of
synthesized compound was verified by transmission electron
microscopy (TEM) using a Tecnay G2 30 UT microscope oper-
ated at 300 kV and having 0.17 nm point resolution. The
electron diffraction (ED) patterns along the main zone axis
(Fig. 2) of PrBaCo2O6 show that these oxides are well crystal-
lized, attest double-perovskite type structure and could be
indexed with the reference to the P4/mmm symmetry with a Ā¼b ļæ½ ap and cļæ½ 2ap. The ED patterns clearly confirm the pro-
posed crystal structure of PrBaCo2O6 and indicate absence of
any superstructure reflections due to possible oxygen or cation
vacancies ordering. One observes a pronounced twin micro-
structure of PrBaCo2O6 which is mostly represented along
[100] zone axis. In this case, the [100] ED pattern (Fig. 2)
shows the superposition of two [100] ED patterns produced by
different domain fragments rotated at 90ļæ½ along [100] axis with
respect to each other and having the {012} twinning plane. It
should be noticed that because of the small size of twinned
domains and relatively big size of selective apertures, all [100]
ED patterns show a twinning character. The latter assumption
is supported by high resolution transmission electron micros-
copy (HRTEM) observation (Fig. 3(c)).
TABLE I. Chemical composition, exposure time to NaClO and cell parame-
ters of the cobaltites PrBaCo2O5Ć¾d synthesized from oxidation of
PrBaCo2O5.80 by NaClO.
Chemical formula Exposure time Cell parameters v2
PrBaCo2O5.80 As prepared aĀ¼ 3.901(1) A 2.52
cĀ¼ 7.648(1) A
VĀ¼ 116.43 A3
PrBaCo2O5.93 2 days aĀ¼ 3.898(1) A 1.87
cĀ¼ 7.6637(1) A
VĀ¼ 116.09 A3
PrBaCo2O5.95 2 weeks aĀ¼ 3.892(1) A 6.05
cĀ¼ 7.648(1) A
VĀ¼ 115.85 A3
PrBaCo2O6.00 4 weeks aĀ¼ 3.887(1) A 2.63
cĀ¼ 7.655(1) A
VĀ¼ 115.69 A3
FIG. 1. X-ray diffraction patterns (red circles) along with the fits (black
lines) for PrBaCo2O6. The residues are shown as blue lines at the bottom
and the Bragg peaks are shown as green bars. Inset shows the ordered double
perovskite structure projected along the b-axis.
FIG. 2. Electron diffraction patterns of PrBaCo2O6 along main zone axis.
Note the presence of twinning structure in the [100] ED pattern.
013902-2 Seikh et al. J. Appl. Phys. 114, 013902 (2013)
Downloaded 01 Jul 2013 to 192.93.101.169. This article is copyrighted as indicated in the abstract. Reuse of AIP content is subject to the terms at: http://jap.aip.org/about/rights_and_permissions
The atomic coordinates of the stoichiometric phase
PrBaCo2O6 (Table II) deduced from the Rietveld refinements
were used for the simulation of the HRTEM images taken
along main zone axis. The combination of these two techni-
ques allows the perfectly ordered character of the structure
(inset Fig. 1) to be evidenced. One indeed observes from
HRTEM measurements the perfect crystallinity of the sam-
ple and a structure free of any defect. Fig. 3 shows HRTEM
images of PrBaCo2O6, taken along most informative [001]
(Fig. 3(a)) and [100] (Fig. 3(b)) zone axis. The calculated
images are given as inset. A comparison of experimental and
calculated HRTEM images shows that under the present
imaging conditions the darkest dots correspond to Co-O col-
umns, Pr-Ba columns being brighter than Co-O and bright
dots correspond to oxygen columns. One can observe good
correspondence between the calculated and the experimental
images. The interatomic distances (Table III) obtained from
XRPD refinements, clearly confirm that the Pr3Ć¾ and Ba2Ć¾
cations occupy two kinds of sites with PrāO distances rang-
ing from 2.580 to 2.749 A and BaāO distances ranging from
2.749 to 2.888 A, respectively. The CoāO bonds are rather
close to those observed previously for PrBaCo2O5.8,18 with
two apical distances of 1.884ā1.948 A and four equatorial
distances of 1.953 A.
MAGNETIC PROPERTIES
The magnetization measurements were performed using a
superconducting quantum interference device (SQUID) mag-
netometer with a variable temperature cryostat (Quantum
Design, San Diego, USA). The temperature dependence of the
magnetization M(T) measured under 0.3 T (Fig. 4) shows that,
whatever d comprised between 0.80 and 1, the samples exhibit
a PM to FM transition in agreement with the results previously
observed for PrBaCo2O5.80 [Ref. 18] and PrBaCo2O5.90
[Ref. 19]. Importantly, the TC increases significantly with the
oxygen content from 165 K for PrBaCo2O5.80 to 210 K for the
stoichiometric oxide PrBaCo2O6. It is worth pointing out that
this is the highest TC value that has been reached in the
LnBaCo2O5Ć¾d series (to be compared to 175ā179 K for
LaBaCo2O6 [Refs. 13ā16] and 200 K for NdBaCo2O6
[Ref. 17]). The second remarkable feature concerns the diver-
gence between the zero field cooled (ZFC) and field cooled
(FC) curves at low temperature, observed for the oxygen defi-
cient phases. This feature was already observed for
PrBaCo2O5.80 and ascribed either to magnetic anisotropy or to
a competing interaction between FM and AFM states.18
However, in our oxide PrBaCo2O5.80 (Fig. 4(a)), the amplitude
of the divergence is significantly smaller than observed by pre-
vious authors, suggesting that either the oxygen content may
not be exactly the same in both oxides, i.e., slightly larger in
our case, or the ordering of the anionic vacancies may be
slightly different. This difference is also confirmed from the
TC value, which is slightly higher in our case (TCļæ½ 165 K)
compared to that previously observed by Ganorkar et al.18
(TCļæ½ 148 K). The great sensitivity of this phenomenon to oxy-
gen stoichiometry is in fact confirmed for higher d values. One
observes that the divergence between the ZFC and FC curves
decreases abruptly as d increases as shown for dĀ¼ 0.93 (Fig.
4(b)) and dĀ¼ 0.95 (Fig. 4(c)) and almost disappears for dĀ¼ 1.0
(Fig. 4(d)). Thus, these results show that TC increases dramati-
cally as the oxygen content increases from TCĀ¼ 165 K for
PrBaCo2O5.80, leading to a pure ferromagnetic state for the
stoichiometric layered ā112ā perovskite LaBaCo2O6 with a
high TC of 210 K, the M(T) curve (Fig. 4(d)), showing a very
abrupt transition.
The isothermal magnetization curves M(H) registered at
5 K (Fig. 5) clearly support the effect of oxygen deficiency
upon the competition between ferromagnetism and antiferro-
magnetism in this series for d ranging from 0.80 to 1. For
dĀ¼ 0.80, one observes that the hysteresis loop indicating the
presence of ferromagnetism (Fig. 5(a)) does not reach the
saturation, due to the competing effect of antiferromagnetism
originating from oxygen vacancies, whereas for larger oxy-
gen contents, dĀ¼ 0.93 (Fig. 5(b)) and dĀ¼ 0.95 (Fig. 5(c)),
the hysteresis loops are much closer to the saturation under
FIG. 3. (a) and (b) HRTEM images of PrBaCo2O6 along the [001] and [100]
zone axis. (c) (100) HRTEM image of twinning area and corresponding struc-
tural model. The calculated images for [001] (defocus value DfĀ¼ļæ½45 nm,
tĀ¼ 6 nm) and [100] (defocus value DfĀ¼ļæ½55 nm, tĀ¼ 7.5 nm) are given as
inset.
TABLE II. Atomic coordinates of PrBaCo2O6.00.
Atom Wyck. x/a y/b z/c
Co 2h 1/2 1/2 0.2458(2)
Pr 1a 0 0 0
Ba 1b 0 0 1/2
O1 1c 1/2 1/2 0
O2 1d 1/2 1/2 1/2
O3 4i 1/2 0 0.2213(2)
TABLE III. Interatomic distances of PrBaCo2O6.00.
Co-O
distances d (A)
Pr-O
distances d (A)
Ba-O
distances d (A)
Co O1 1.884 Pr O3 8ļæ½ 2.580 Ba O2 8ļæ½ 2.888
O2 1.9482 O1 4ļæ½ 2.749
O3 4ļæ½ 1.9530
013902-3 Seikh et al. J. Appl. Phys. 114, 013902 (2013)
Downloaded 01 Jul 2013 to 192.93.101.169. This article is copyrighted as indicated in the abstract. Reuse of AIP content is subject to the terms at: http://jap.aip.org/about/rights_and_permissions
an applied magnetic field of 4 T, the magnetic moment
increasing significantly with respect to dĀ¼ 0.80. Finally, the
saturation is reached for the stoichiometric phase PrBaCo2O6
(Fig. 5(d)), with a magnetic moment of 3.3 lB per f.u. under
5 T. Quite remarkably, the coercive field of the oxides
PrBaCo2O5Ć¾d decreases as the oxygen content increases
from HCĀ¼ 0.4 T for dĀ¼ 0.8 to HCĀ¼ 0.05 T for dĀ¼ 1.0. The
larger coercive field observed for the oxygen deficient com-
positions may originate from the presence of anion vacancies
which play the role of pinning centers.
The behavior of these cobaltites can be interpreted either
through a superexchange or through a double exchange (DE)
mechanism. However, for the stoichiometric perovskite
PrBaCo2O6, if the ferromagnetism can be explained by the
presence of FM superexchange Co3Ć¾āOāCo4Ć¾ interactions
according to Goodenough-Kanamori rule,23 a competition
with AFM Co3Ć¾āOāCo3Ć¾ super exchange interactions
should also be observed, which is not the case. Thus, it is most
probable that the DE mechanism24 previously proposed for the
La0.5Ba0.5CoO3 perovskite13 and LaBaCo2O6 [Ref. 14] is the
right one. Indeed, the great tendency of Co-3 d and O-2 p orbi-
tals to hybridize, as mixed d6/d7L for Co3Ć¾ and d5/d6L for
Co4Ć¾, allows the hole on the apical oxygen of CoO6 octohedra
to be coupled to eg electrons, leading to ferromagnetism and
metallic conductivity. In the present case, the conductivity of
the samples cannot be measured, due to their powdery nature,
but this feature was observed for isostructural layered
perovskite LaBaCo2O6 [Refs. 14ā16]. Then, as vacancies are
FIG. 4. MZFC(T) (open symbols) and
MFC(T) (closed symbols) curves of
PrBaCo2O5Ć¾d: (a) dĀ¼ 0.80, (b)
dĀ¼ 0.93, (c) dĀ¼ 0.95, and (d) dĀ¼ 1.00,
recorded under a magnetic field of
0.3 T.
FIG. 5. M vs H curves of
PrBaCo2O5Ć¾d: (a) dĀ¼ 0.80, (b)
dĀ¼ 0.93, (c) dĀ¼ 0.95, and (d) dĀ¼ 1.00,
recorded at 5 K.
013902-4 Seikh et al. J. Appl. Phys. 114, 013902 (2013)
Downloaded 01 Jul 2013 to 192.93.101.169. This article is copyrighted as indicated in the abstract. Reuse of AIP content is subject to the terms at: http://jap.aip.org/about/rights_and_permissions
created on the apical oxygen sites of PrBaCo2O6, the coupling
between eg electrons and holes is dramatically decreased.
Consequently, the number of Co3Ć¾āOāCo3Ć¾ AFM superex-
change interactions increase abruptly as shown for the oxide
PrBaCo1.43Ć¾Co0.6
4Ć¾O5.80, suggesting the appearance of elec-
tronic phase separation, where AFM and FM states are
competing.
In conclusion, we have successfully synthesized the
112-layered perovskite PrBaCo2O6 using soft-chemistry
technique. It is remarkable that this ferromagnetic oxide
exhibits a TC of 210 K larger than those of LaBaCo2O6
(TCļæ½ 175ā179 K) and of NdBaCo2O6 (TCļæ½ 200 K), suggest-
ing that the size of the lanthanide may influence slightly the
double exchange mechanism, i.e., the CoāOāCo bond
angles in these oxides. It would be of great interest to investi-
gate the spins state of cobalt in this compound, using spec-
troscopy in order to better understand the mechanism which
governs its magnetic behaviour.
ACKNOWLEDGMENTS
We gratefully acknowledge the CNRS and the Minister
of Education and Research for financial support through their
Research, Strategic, and Scholarship programs.
1B. Raveau and Md. M. Seikh, Cobalt Oxides: From Crystal Chemistry toPhysics (Wiley-VCH, 2012).
2C. Martin, A. Maignan, D. Pelloquin, N. Nguyen, and B. Raveau, Appl.
Phys. Lett. 71, 1421 (1997).3A. Maignan, C. Martin, N. Nguyen, and B. Raveau, J. Solid State Chem.
142, 247 (1999).4Md. M. Seikh, C. Simon, V. Caignaert, V. Pralong, M. B. Lepetit, S.
Boudin, and B. Raveau, Chem. Mater. 20, 231 (2008).
5I. O. Troyanchuk, N. V. Kasper, D. D. Khalyavin, H. Szymczak, R.
Szymczak, and M. Baran, Phys. Rev. Lett. 80, 3380 (1998).6E. Suard, F. Fauth, V. Caignaert, I. Mirebeau, and G. Baldinozzi, Phys.
Rev. B 61, R11871 (2000).7Z. Yuan, J. Liu, C. L. Chen, C. H. Wang, X. G. Luo, X. H. Chen, G. T.
Kim, D. X. Huang, S. S. Wang, A. J. Jacobson, and W. Donner, Appl.
Phys. Lett. 90, 212111 (2007).8M. Liu, J. Liu, G. Collins, C. R. Ma, C. L. Chen, J. He, J. C. Jiang, E. I.
Meletis, A. J. Jacobson, and Q. Y. Zhang, Appl. Phys. Lett. 96, 132106 (2010).9C. Ma, M. Liu, G. Collins, J. Liu, Y. Zhang, C. Chen, J. He, J. Jiang, and
E. I. Meletis, Appl. Phys. Lett. 101, 021602 (2012).10T. Vogt, P. M. Woodward, P. Karen, B. A. Hunter, P. Henning, and A. R.
Moodenbaugh, Phys. Rev. Lett. 84, 2969 (2000).11Y. Moritomo, T. Akimoto, M. Takeo, A. Machida, E. Nishibori, M.
Takata, M. Sakata, K. Ohoyama, and A. Nakamura, Phys. Rev. B. 61,
R13325 (2000).12M. Respaud, C. Frontera, J. L. Garcļæ½Ä±a-Mu~noz, M. ļæ½A. G. Aranda, B.
Raquet, J. M. Broto, H. Rakoto, M. Goiran, A. Llobet, and J. Rodrļæ½Ä±guez-
Carvajal, Phys. Rev. B 64, 214401 (2001).13F. Fauth, E. Suard, and V. Caignaert, Phys. Rev. B 65, 060401 (2001).14T. Nakajima, M. Ichihara, and Y. Ueda, J. Phys. Soc. Jpn. 74, 1572 (2005).15A. K. Kundu, E.-L. Rautama, Ph. Boullay, V. Caignaert, V. Pralong, and
B. Raveau, Phys. Rev. B 76, 184432 (2007).16E. L. Rautama, P. Boullay, A. K. Kundu, V. Caignaert, V. Pralong, M.
Karppinen, and B. Raveau, Chem. Mater. 20, 2742 (2008).17V. Pralong, V. Caignaert, S. Hļæ½ebert, A. Maignan, and B. Raveau, Solid
State Ionics 177, 1879 (2006).18S. Ganorkar, K. R. Priolkar, P. R. Sarode, and A. Banerjee, J. Appl. Phys.
110, 053923 (2011).19J. L. Garcļæ½Ä±a-Mu~noz, C. Frontera, A. Llobet, A. E. Carrillo, A. Caneiro, M.
A. G. Aranda, M. Respaud, C. Ritter, and E. Dooryee, J. Magn. Magn.
Mater. 272ā276, 1762 (2004).20C. Frontera, J. L. Garcļæ½Ä±a-Mu~noz, A. E. Carrillo, M. A. G. Aranda, I.
Margiolaki, and A. Caneiro, Phys. Rev. B 74, 054406 (2006).21V. Pralong, A. Delahaye-Vidal, B. Beaudoin, B. Gļæ½erand, and J.-M.
Tarascon, J. Mater. Chem. 9, 955 (1999).22J. Rodriguez-Carvajal, Physica B 192, 55 (1993).23J. B. Goodenough, Magnetism and the Chemical Bond (Wiley
Interscience, New York, 1963).24C. Zener, Phys. Rev. 81, 440 (1951).
013902-5 Seikh et al. J. Appl. Phys. 114, 013902 (2013)
Downloaded 01 Jul 2013 to 192.93.101.169. This article is copyrighted as indicated in the abstract. Reuse of AIP content is subject to the terms at: http://jap.aip.org/about/rights_and_permissions