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Raman study for E2 phonon of ZnO in Zn1-xMnxO nanoparticles

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Raman scattering at room temperature is reported in Zn <sub>1-x</sub> Mn <sub>x</sub> O nanoparticles for the range of 0≤x≤0.15 . The effect of compositional disorder is obtained by analyzing the broadening and asymmetry of the first-order E<sub>2</sub>( high ) phonon mode. It is found that the Raman line shapes for the ZnO E<sub>2</sub>( high ) phonon in Zn <sub>1-x</sub> Mn <sub>x</sub> O 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 E<sub>2</sub>( high ) phonon mode in Zn <sub>1-x</sub> Mn <sub>x</sub> O nanoparticles.
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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
National Laboratory for Infrared Physics, Shanghai Institute of Technical Physics, Chinese Academy of
Science, Shanghai 200083, China
Received 7 September 2004; accepted 4 January 2005; published online 8 April 2005
Raman scattering at room temperature is reported in Zn1−xMnxO nanoparticles for the range of 0
x0.15. The effect of compositional disorder is obtained by analyzing the broadening and
asymmetry of the first-order E2highphonon mode. It is found that the Raman line shapes for the
ZnO E2highphonon 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 E2highphonon mode in Zn1−xMnxO nanoparticles. ©
2005 American Institute of Physics.DOI: 10.1063/1.1865340
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 RTferromagnetism FMin diluted magnetic
semiconductors4DMSsrecently 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 AFin 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 APFs.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 Refs. 9 and 10and 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 FWHMof the E2highphonons of ZnO has been
detailed studied with Raman scattering and perturbation
theory.12 However, the relation between alloy disorder and
the line shape i.e., linewidth and asymmetryof 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, E2high, 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 SCmodel9based 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 E2highin
Zn1−xMnxO nanoparticles in the range of 0x0.15 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 TEM, 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 Fig. 1.
aAuthor to whom correspondence should be addressed; electronic mail:
luwei@mail.sitp.ac.cn
JOURNAL OF APPLIED PHYSICS 97, 086105 2005
0021-8979/2005/978/086105/3/$22.50 © 2005 American Institute of Physics97, 086105-1
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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
not shown in this paper, 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 E2highphonon lines of
Zn1−xMnxO nanoparticles have ashifted to lower frequen-
cies and bbroadened asymmetrically a⬎⌫b, where
abrepresents the low-energy high-energyhalf width of
half maximum in the phonon line. The line shape of E2high
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 athe two pho-
non processes A1LO+E2low兲兴 and bthe 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 q0 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 q
=0can 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−2r2/L2,
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
at a frequency
can be written as
I
兲⬵
expq2L2/4d3q
q兲兴2+0/22,1
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. 1can 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.
cm−1331 387 437 540 577 663
Assignments 2E2lowA1TOE2high2LA A1LOA1LO+E2low
FIG. 1. X-ray diffraction pattern of aZnO and bZn1−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 2005
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I
兲⬵
4
q2expq2L2/4d3q
q兲兴2+0/22.2
For the calculation of Zn1−xMnxO, 0is determined to be
9.0 cm−1 by the linewidth of E2highphonon in the ZnO
powder prepared by the same method as that of Zn1−xMnxO
powders. As for the dispersion
q, 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,
q=A+Bcos
q,3
which with A=424.5 cm−1 and B=12.5 cm−1 for the
E2highphonon 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 E2high
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 E2highphonon line as a function of Las
evaluated from Eqs. 2and 3plotted 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. 2
and 3, 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 E2highphonon 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
E2highphonon 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 0x
0.15. The microscopic nature of the alloy disorder is dis-
cussed by investigating the compositional dependence of
E2highphonon mode. It is shown that the Raman line
shapes asymmetric broadeninginduced 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 Grant
No. 200012, Chinese National Key Research Special Fund,
Key fund of Nation Science Foundation Grant No.
10234040, Key Fund of Shanghai Science and Technology
Foundation Grant No. 02DJ14066, and Shanghai Informa-
tion Special Foundation.
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FIG. 3. E2highphonon 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 E2highphonon 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 2005
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ZnO nanoparticles assembled in one-dimensional order were synthesized by a template-free method. The synthesized ZnO powder have a hexagonal zincite structure. The ZnO aggregates with rod-like shapes are typically ∼1.2 μm in length and 100 nm in diameter with an aspect ratio as high as ∼12, which consist of many small nanocrystals with diameters of ∼15 nm. Longer wires connected by many hexahedral ZnO nanocrystals were obtained after calcination at the temperature over 500 °C. The formation of the rod-shaped ZnO powders is related to the existence of [Zn(NH3)x]2+ complex cations.
Article
Ferromagnetism of ZnO-based magnetic semiconductors was investigated by ab initio calculations based on the local density approximation. In a system of Mn atom doped ZnO, the ferromagnetic ordering of Mn magnetic moments was induced by hole doping. It was also found that 3d transition metal atoms of V, Cr, Fe, Co and Ni showed the ferromagnetic ordering of their magnetic moments in ZnO without any additional carrier doping treatments. Appearance of the ferromagnetism in these systems suggests possibility for a fabrication of a transparent ferromagnet which will have great impact on industrial applications in magneto optical devices.
Article
Raman scattering of Zn1-xBexSe epifilms grown by molecular beam epitaxy on GaAs (001) substrates has been investigated. The effect of compositional disorder was obtained by analyzing the broadening and asymmetry of the first-order LO mode. It is found that the Raman line shapes for the ZnSe-like LO mode in Zn1-xBexSe alloys can be well described by the spatial correlation model. We have also analyzed comparatively the anharmonic effects due to temperature and compositional fluctuations in ZnSe and ZnBeSe systems, using temperature-dependent Raman-scattering measurements. It is found that the anharmonicity is higher for ZnBeSe alloys than ZnSe and it increases with compositional disorder. Therefore, both temperature- and compositional-fluctuation-induced anharmonicities can introduce changes in the linewidth, line center position, and anharmonic decay time of the first-order optical phonons in Zn1-xBexSe alloys.
Article
Disorder effects of Raman scattering of Ga1−xAlxAs are studied using the various fixed lines of an Ar ion laser. We analyzed the spectra and the properties of polarization of Raman scattering from 50 cm−1 to 400 cm−1, and found some new Raman scattering peaks which were considered to be optical phonons are non-Γ-point. We report the broadening and asymmetry profile of Raman lines and present the formulas describing the linewidth of two mode behavior mixed crystals in this paper.
Article
ZnO tetrapod nanostructures were prepared by evaporating Zn metal under humid argon flow. After the fabrication, Mn diffusion doping was performed at two different temperatures (600 and 800 degreesC). The samples were characterized by scanning electron microscopy, transmission electron microscopy, x-ray fluorescence, x-ray diffraction (XRD), superconducting quantum interference device magnetometer, and photoluminescence. Diffusion doping resulted in the increase of the size of tetrapods, but no new peaks were found in XRD spectrum. Mn doped ZnO tetrapod structures were found to be ferromagnetic with Curie temperature similar to50 K, and showed large coercive field (similar to3500 Oe for 800 degreesC sample, similar to5500 Oe for 600 degreesC sample). (C) 2004 American Institute of Physics.
Article
Considerable attention has been devoted recently to the dependence of the widths of the Raman phonons of semiconductors on pressure and on isotopic mass. The dependence on pressure is usually small and monotonic unless the phonon happens to be close to a singularity of the two-phonon density of states (DOS) which determines its width. In the latter case, strong nonmonotonic dependences of the phonon width on pressure and on isotopic mass can appear. We have investigated the E2high phonons of ZnO crystals with different isotopes and observed a wide range of FWHM depending on isotopic masses. Ab initio calculations of the two-phonon DOS provide an explanation for this variation of the FWHM: the E2high frequency falls on a sharp ridge of the 2-DOS corresponding to combinations of TA and LA phonons. Changes in isotopic mass result in a motion of the E2high frequency up and down that ridge which produces the changes in FWHM. These phenomena suggest a decrease of the FWHM with pressure which seems to be present in existing data obtained at 300 K. Similar phenomena are discussed for the E2low phonons. Applications of the isotope and pressure techniques to the elucidation of two-phonon spectra will be presented.