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Raman study for
E
2phonon of ZnO in Zn1−
x
Mn
x
O nanoparticles
J. B. Wang
National Laboratory for Infrared Physics, Shanghai Institute of Technical Physics, Chinese Academy of
Science, Shanghai 200083, China and Department of Physics, Xiangtan University, Xiangtan 411105, Hunan
Province, China
H. M. Zhong, Z. F. Li, and Wei Lua兲
National Laboratory for Infrared Physics, Shanghai Institute of Technical Physics, Chinese Academy of
Science, Shanghai 200083, China
共Received 7 September 2004; accepted 4 January 2005; published online 8 April 2005兲
Raman scattering at room temperature is reported in Zn1−xMnxO nanoparticles for the range of 0
艋x艋0.15. The effect of compositional disorder is obtained by analyzing the broadening and
asymmetry of the first-order E2共high兲phonon mode. It is found that the Raman line shapes for the
ZnO E2共high兲phonon in Zn1−xMnxO alloys can be well described by the spatial correlation model.
It is shown that the substitutional disorder can introduce changes in the linewidth, line center
position, and asymmetry of the first-order E2共high兲phonon mode in Zn1−xMnxO nanoparticles. ©
2005 American Institute of Physics.关DOI: 10.1063/1.1865340兴
The use of electron spin, in addition to its more com-
monly used charge, holds great promise for a new class of
semiconductor memory and signal processing devices with
new functionality.1–3 Theoretical predictions of room-
temperature 共RT兲ferromagnetism 共FM兲in diluted magnetic
semiconductors4共DMSs兲recently focused attention on
magnetic-ion-substituted ZnO with a wurtzite structure simi-
lar to GaAs. According to these calculations, RT FM can
exist in p-type doped Zn1−xMnxO with 5% Mn and 3.5
⫻1020 holes/cm3.Ab initio band calculations5predict the
stability of FM in p-type doped Zn1−xMnxO, and antiferro-
magnetism 共AF兲in n-type doped Zn1−xMnxO. Therefore, the
structural and magnetic properties of Mn-doped and/or im-
planted ZnO have attracted significant coverage from the
researchers.6–8
One of the most important aspects of substitutional semi-
conductor alloys is the nature of the alloy potential fluctua-
tions 共APFs兲.9Since Raman scattering can yield important
information about the nature of the solid on a scale of the
order of a few lattice constants, it can be used to study the
microscopic nature of structural and/or topological disorder.
Raman scattering thus has been widely used to study the
structural properties of alloy semiconductors, such as
Ga1−xAlxAS 共Refs. 9 and 10兲and ZnMnxSe1−x.11 Recently,
considerable attention has been devoted to the dependence of
the widths of the E2phonons of ZnO on isotopic mass.12,13
The isotopic disorder effect on the full width at half maxi-
mum 共FWHM兲of the E2共high兲phonons of ZnO has been
detailed studied with Raman scattering and perturbation
theory.12 However, the relation between alloy disorder and
the line shape 共i.e., linewidth and asymmetry兲of E2phonons
of ZnO in Zn1−xMnxO nanoparticles has not been fully stud-
ied. In this paper, we will provide a detailed investigation on
the influence of the first-order Raman spectra caused by
APFs in Zn1−xMnxO nanoparticles. We concentrate on the
upper E2phonon, E2共high兲, locating at 437 cm−1 at room
temperature. In ternary semiconductor alloys, the Raman
spectra show changes of various phonon modes with compo-
sitional disorder, including a shift in phonon frequency and
changes of the linewidth, asymmetry, and emergence of
disorder-activated modes. The broadening in linewidth and
asymmetry can be investigated in terms of the spatial corre-
lation 共SC兲model9based on the finite correlation length of a
propagating phonon due to the APFs. In this paper, it is
found that the Raman line shapes for the ZnO E2共high兲in
Zn1−xMnxO nanoparticles in the range of 0艋x艋0.15 can be
well described by the SC model.
The synthesis of Zn1−xMnxO precursor was carried out
using the chemical precipitation method which was similar
to that published elsewhere.14 Stoichiometric ZnCl2and
MnCl2·4H2O were added into the solution of NH4HCO3
mixed with a given surfactant. A white precipitate occurred
immediately when the two solutions mixed each other but it
was dissolved with stirring. A stable state slowly occurred
due to the concentration of Zn2+ ions which was high enough
in the mixed solution, so that it reached the state of super-
saturation. The solid was collected by filtration, repeatedly
rinsed with ethanol for several times, then dried at 50–60 °C
for 3–4 h. At last, the Zn1−xMnxO powders were obtained
after annealing of the precipitates at the temperature of
700°Cfor1hinair.Thesizes and micrographs of
Zn1−xMnxO nanoparticles were measured by transmission
electron microscopy 共TEM兲, which was shown that the aver-
age crystallite size of the Zn1−xMnxO was ⬃50 nm.
The crystalline structure was studied by means of an
x-ray diffraction. Diffraction patterns of the microcrystallites
were characteristic of hexagonal ZnO with a small contribu-
tion of other compounds, which was shown in Fig. 1. How-
ever, this contribution was less than 1% of that of ZnO, as
estimated from the x-ray line intensity, and most probably
resulted from Zn2MnO4precipitates. In fact, for some
samples, the Zn2MnO4phase was clearly identified 共Fig. 1兲.
a兲Author to whom correspondence should be addressed; electronic mail:
luwei@mail.sitp.ac.cn
JOURNAL OF APPLIED PHYSICS 97, 086105 共2005兲
0021-8979/2005/97共8兲/086105/3/$22.50 © 2005 American Institute of Physics97, 086105-1
Downloaded 17 Sep 2006 to 166.111.38.245. Redistribution subject to AIP license or copyright, see http://jap.aip.org/jap/copyright.jsp
Precipitation of Mn-based compounds is a rather common
problem encountered in the various growth techniques of
diluted magnetic II-VI semiconductors.7
The Raman-scattering experiments were carried out us-
ing a Jobin–Yvon LabRam-INFINITY micro-Raman system
at room temperature. The 514.53-nm line of an Ar+laser was
used for excitation. The Raman spectra of both Zn1−xMnxO
and Zno nanoparticles at the range of 280–850 cm−1 are
shown in Fig. 2. Our Raman study has shown that the Raman
spectra of ZnO nanoparticles is similar to that of bulk ZnO
共not shown in this paper兲, which indicates that the ZnO nano-
particles keep the overall crystal structure of the bulk ZnO.
This result is consistent with that of ZnO nanotube.15 The
assignments of the Raman peaks of ZnO nanoparticles are
summarized in Table I according to the previous Raman
study of ZnO.16 From Fig. 2, it is seen that although most of
the Raman peaks from the Zn1−xMnxO nanoparticles corre-
spond well to those of the ZnO nanoparticles, the Raman
spectra of Zn1−xMnxO nanoparticles have shown their own
characteristics. First, the E2共high兲phonon lines of
Zn1−xMnxO nanoparticles have 共a兲shifted to lower frequen-
cies and 共b兲broadened asymmetrically 共⌫a⬎⌫b兲, where
⌫a共⌫b兲represents the low-energy 共high-energy兲half width of
half maximum in the phonon line. The line shape of E2共high兲
phonons of Zn1−xMnxO nanoparticles will be detailed studied
in this paper. Second, the Raman peak at about 663 cm−1
becomes stronger and stronger with increasing the Mn con-
centration in Zn1−xMnxO nanoparticles. The enhancement of
the 663-cm−1 Raman peak may result from 共a兲the two pho-
non processes 关A1共LO兲+E2共low兲兴 and 共b兲the increment of
the Mn-based compounds, such as Zn2MnO4precipitates
shown in Fig. 1.
In alloy semiconductors, atom substitution induces not
only topological disorder but often also structural disorder.
For allowed phonons, these disorders result basically in the
breaking of the translational symmetry, leading to the contri-
bution of q⫽0 phonons to the Raman line shape, corre-
sponding to so-called finite-size effects. This greatly drives
the line-shape asymmetry and the line center shift, which can
be investigated in terms of the SC model9based on the finite
correlation length of a propagating phonon due to the APFs.
Here we discuss the effects of disorders in Zn1−xMnxO nano-
particles using the SC model.
In an ideal crystal, because of the momentum conserva-
tion, only phonons at the center of the Brillouin zone 共q
=0兲can be observed by Raman scattering. As the crystal is
alloying, the phonons can be confined in space owing to the
potential fluctuations of the alloy disorder, which gives rise
to a relaxation of the q=0 selection rule in Raman
scattering.11 So, the spatial correlation length of phonon in
alloys becomes finite. The finite phonon mode will lead to
the broadening and asymmetry of the Raman line shape.
With the SC model, we can evaluate the asymmetric broad-
ening of Raman scattering by the theoretical calculation. The
assumption of a Gaussian attenuation factor exp共−2r2/L2兲,
where Lis the diameter of the correlation region, has been
successfully used to account for q-vector relaxation related
to finite-size effects17 and structural disorder.9Then, the Ra-
man intensity I共
兲at a frequency
can be written as
I共
兲⬵
冕
exp共−q2L2/4兲d3q
关
−
共q兲兴2+关⌫0/2兴2,共1兲
where qis expressed in units of 2
/a,ais the lattice con-
stant, and ⌫0is the natural linewidth. Assuming that there is
a spherical region associated with the finite size of the cor-
relation regions in the alloys, Eq. 共1兲can be written as
TABLE I. The assignments of the Raman peaks of ZnO nanoparticles according to the study of Ref. 9 at the
range of 280–850 cm−1.
共cm−1兲331 387 437 540 577 663
Assignments 2E2共low兲A1共TO兲E2共high兲2LA A1共LO兲A1共LO兲+E2共low兲
FIG. 1. X-ray diffraction pattern of 共a兲ZnO and 共b兲Zn1−xMnxO nanopar-
ticles grown by the chemical precipitation method. Miller indices of ZnO
crystal lattice planes are given for each diffraction line. The arrows indicate
the diffraction lines originating from the Zn2MnO4phase. FIG. 2. Raman spectra of both Zn1−xMnxO and ZnO nanoparticles at the
range of 280–850 cm−1.
086105-2 Wang
et al.
J. Appl. Phys. 97, 086105 共2005兲
Downloaded 17 Sep 2006 to 166.111.38.245. Redistribution subject to AIP license or copyright, see http://jap.aip.org/jap/copyright.jsp
I共
兲⬵
冕
4
q2exp共−q2L2/4兲d3q
关
−
共q兲兴2+关⌫0/2兴2.共2兲
For the calculation of Zn1−xMnxO, ⌫0is determined to be
9.0 cm−1 by the linewidth of E2共high兲phonon in the ZnO
powder prepared by the same method as that of Zn1−xMnxO
powders. As for the dispersion
共q兲, it is usually determined
by the neutron-scattering. But for the hexagonal structure
ZnO, the neutron-scattering data are sparse. We take the ana-
lytical model relationship,
共q兲=A+Bcos共
q兲,共3兲
which with A=424.5 cm−1 and B=12.5 cm−1 for the
E2共high兲phonon dispersion according to the ab initio
phonon-dispersion relations calculated for ZnO.13 Setting the
correlation length Las an adjustable parameter, one can get
the value of Lby fitting the Raman line-shape of E2共high兲
band. The Lvalues corresponding to x=1%, 2%, 5%, 10%,
and 15% are 6.37, 6.19, 4.01, 3.65, and 2.92 nm, respec-
tively.Accordingly, for Zn1−xMnxO nanoparticles with differ-
ent Mn concentrations, the values of frequency shift ⌬
,
linewidth ⌫, and the asymmetry ⌫a/⌫bcan be obtained by
the fitting, which will be analyzed in the following para-
graph.
Figure 3 shows the frequency shift ⌬
from 437 cm−1
and the ⌫of E2共high兲phonon line as a function of Las
evaluated from Eqs. 共2兲and 共3兲plotted by solid line. Also
shown are the experimental values of ⌬
and ⌫for various
Mn concentrations, which are obtained by fitting the experi-
mental Raman spectra using the SC model. From Eqs. 共2兲
and 共3兲, we are also able to evaluate the asymmetry ⌫a/⌫bin
relation to ⌬
for various L. This is shown as the solid line
in Fig. 4 together with the experimental values. The agree-
ment in both cases is quite good. Thus from Figs. 3 and 4 it
is possible to relate the shift, broadening, and asymmetry of
the E2共high兲phonon for a given Mn concentration. For ex-
ample, a Mn concentration of 5% corresponds to an L
⬇4.01 nm. In Zn1−xMnxO alloy semiconductors, the
E2共high兲phonon correlation length Lcan be physically in-
terpreted as the average size of the localized region.11 The
value of Ldecreases with increasing Mn concentration,
which indicates that the phonon-extended region becomes
very small. This is caused by the compositional disorder in
alloys. Therefore, the Lvalue is a very appropriate parameter
accounting for the disorder of Zn1−xMnxO alloys.
In summary, Raman scattering at room temperature is
reported in Zn1−xMnxO nanoparticles for the range of 0艋x
艋0.15. The microscopic nature of the alloy disorder is dis-
cussed by investigating the compositional dependence of
E2共high兲phonon mode. It is shown that the Raman line
shapes 共asymmetric broadening兲induced by the substitu-
tional disorder can be quantitatively explained in terms of a
SC model.
This work is supported in part by the One-hundred-
person Project of the Chinese Academy of Science 共Grant
No. 200012兲, Chinese National Key Research Special Fund,
Key fund of Nation Science Foundation 共Grant No.
10234040兲, Key Fund of Shanghai Science and Technology
Foundation 共Grant No. 02DJ14066兲, and Shanghai Informa-
tion Special Foundation.
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FIG. 3. E2共high兲phonon Raman shift ⌬
and broadening ⌫as a function of
L. Also shown are the experimental values of ⌬
and ⌫for various Mn
concentrations. FIG. 4. Relationship between the E2共high兲phonon Raman shift ⌬
and
asymmetry, ⌫a/⌫b, as a function of L. Also shown are the experimental
values of ⌬
and ⌫a/⌫bfor various Mn concentrations.
086105-3 Wang
et al.
J. Appl. Phys. 97, 086105 共2005兲
Downloaded 17 Sep 2006 to 166.111.38.245. Redistribution subject to AIP license or copyright, see http://jap.aip.org/jap/copyright.jsp