Abstract. In this paper, we present one method to determine the band
gap energy of ZnO and ZnO:Tb3+materials. ZnO:Tb3+ material has prepared by forced hydrolysis method. All samples have zinc oxide hexagonal
wurzite structure. The obtained results show that the energy of the band
gap depends on Tb3+ molar ratio.
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JOURNAL OF SCIENCE OF HNUE
2011, Vol. 56, N◦. 1, pp. 21-26
STUDY ON BAND GAP ENERGY OF PURE
AND Tb3+ DOPED ZnO POWDER
Ngo Ngoc Hoa, Nguyen Minh Thuy and Nguyen Manh Nghia(∗)
Hanoi National University of Education
(∗)E-mail: nghiadhsp@gmail.com
Abstract. In this paper, we present one method to determine the band
gap energy of ZnO and ZnO:Tb3+materials. ZnO:Tb3+ material has pre-
pared by forced hydrolysis method. All samples have zinc oxide hexagonal
wurzite structure. The obtained results show that the energy of the band
gap depends on Tb3+ molar ratio.
Keywords: ZnO:Tb3+, forced hydrolysis.
1. Introduction
ZnO is an important semiconductor because it has distinct properties as direct
transition and wide band gap energy (Eg=3.2 eV at room temperature) [1]. There-
fore, then ZnO as a luminescent material has a long history of practical application
and has been the object of extensive research over the past century. Nowadays, it is
the suitable host materials for the doping of luminescence centers. In terms of energy
transfer from ZnO to the rare - earth RE3+ ions, RE3+ ions characteristic lumines-
cence will be acquired. If RE3+ ions are incorporated in semiconductor nanocrystals,
the optical properties of nanocrystals are expected to be modified remarkably.
In this paper, we have prepared ZnO:Tb3+ materials by forced hydrolysis
method. X-ray diffraction patterns show that all samples have zinc oxide hexagonal
wurzite structure. The results are obtained to show that the band gap energy of the
ZnO:Tb3+ materials depend on the Tb3+molar ratio.
2. Content
2.1. Experimental
ZnO and ZnO:Tb3+ samples are fabricated by hydrolysis method. To prepare
the sol solution, 100 ml ethanol containing 2.195 g Zn(CH3COO).2H2O was stirred
for 3h to get Zn-O-Zn precursor. The precursor was hydrolyzed in an ultrasonic
bath at 0oC by addition of 0.84 g LiOH.H2O powder into the flask for 20 min. The
resulted colloidal suspension was concentrated and precipitated by adding of hexane.
The nanoparticles were redispersed in ethanol and then centrifuged, separated from
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Ngo Ngoc Hoa, Nguyen Minh Thuy and Nguyen Manh Nghia
ethanol by precipitation for several times. The sample was obtained by drying the
precipitate at room temperature for a day, then annealing at 200oC for 1h. The
synthesis of ZnO:Tb was performed similarly, but by adding Tb(CH3COO)3.H2O to
Zn(CH3COO)2.H2O solution. Samples with different Tb concentration have been
prepared by varying the amount of Tb(CH3COO)3.H2O present in the precursor
solution. Samples with different Tb concentration have been prepared by varying
the amount of Tb(CH3COO)3.H2O present in the precursor solution (Tb mol %: 2.5,
5, 7.5 and 10). The Zn2+ concentration in each case was reduced to keep constant
the total concentration of metal ions in solution.
The structure of the products was examined by X-ray diffraction (XRD). Op-
tical properties of samples were investigated by using optical absorption. By using
optical absorption data, we plot the variation of (αhνt)2with photon energy c and
we have determined the energy of the band gap of the materials ZnO and ZnO:Tb3+.
The results show that the energy of the band gap depends on the molar ratio Tb3+.
2.2. Results and discussion
2.2.1. The structure of samples
The XRD patterns of ZnO powder samples are shown in Figure 1. The diffrac-
tion peaks demonstrate that all samples have ZnO hexagonal wurtzite structure.
The XRD patterns express that samples are single crystalline and they have
the hexagonal wurtzite structure of ZnO. The peak related to Tb3+ ion does not
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Study on band gap energy of pure and Tb3+ doped ZnO powder
Figure 1. XRD patterns of ZnO(a) and ZnO:5%Tb(b)
appear in the XRD patterns of the samples ZnO:5%Tb. In fact, Tb3+ ions occupy
Zn2+ sites or interstitial sites in ZnO lattice. The crystalline size of the samples was
calculated from the Scherrer formula. The average crystalline size of the samples is
about 12 nm.
2.2.2. The band gap of the materials ZnO and ZnO:Tb3+
The transmission of the samples is determined by relation below:
T = exp (−αt) (2.1)
where α is the absorption coefficient of the samples, t is the thickness of the samples.
α strongly depends on photon energy hν. The dependence of α on the photon energy
hν is called the absorption. The absorption of the ZnO sample, which is realized on
the JASCO spectrometer/data system, is shown in Figure 2.
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Ngo Ngoc Hoa, Nguyen Minh Thuy and Nguyen Manh Nghia
Figure 2. The obsorption of ZnO sample
If the photon energies are larger than the band gap energy Eg, we have the
following experimental relation [2].
αhν = A (hν −Eg)1/2 (2.2)
Where A is a constant and Eg is the energy of band gap. By multiply equation (2.2)
with thickness of sample t, we obtain:
(αhνt)2 = (At)2 (hν − Eg) (2.3)
The variation of (αhνt)2 with hν of the samples ZnO is shown in Figure 3.
Figure 3. The diagram of (αhνt)2 versus hν of ZnO sample
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Study on band gap energy of pure and Tb3+ doped ZnO powder
The optical band gap values are obtained by extrapolating the linear portion
of the plots of (αhνt)2 versus hν to α = 0. The result shows that the value of band
gap energy is 3.20 eV at room temperature. For the ZnO:Tb3+, the variation of
(αhνt)2 with photon energy hν is shown in Figure 4.
Figure 4. The variation of (αhνt)2 with hν of the samples ZnO:Tb3+
with diference of the molar ratio Tb3+
The optical band gap of the samples ZnO:Tb3+ increase from 3.3 eV to 3.4
eV with increase of the molar of Tb3+. In comparision to the original ZnO crystal,
this value of the band gap is larger. The increase of band gap with the increase of
the molar ratio of Tb3+ is due to Moss-Burstein shift [3,4].
For more detailed, in the pure crystal ZnO the band gap is the energy difference
between the top of the valence band and the bottom of the conduction band of
semiconductors in Figure 5 (a). Since the Pauli principle, prevents states from
being doubly occupied and the optical transitions only occur vertically, the energy
band gap is given at these points. This is shown in Figure 5 (b).
Figure 5. Band gap widening due to the Burstein-Moss shift
25
Ngo Ngoc Hoa, Nguyen Minh Thuy and Nguyen Manh Nghia
The value of the band gap
Eg = Eg0 +∆E
BM
g (2.4)
where Eg0 is the band gap of pure ZnO. The increase of the energy band gap is
determined by the following equation:
∆EBMg =
~2k2F
2
(
1
me
+
1
mh
)
(2.5)
where kF is the Fermi wave vector; me, mh are the effective masses of the electrons
and holes in the conduction band.
3. Conclusion
Tb3+ doped ZnO nanocrystals were synthesized by forced hydrolysis method.
The samples have hexagonal wurtzite structure of ZnO.
We present one method to determine the band gap energy of ZnO and ZnO:Tb3+
materials. The sesult shows that the value of band gap energy is 3.24 eV at room
temperature. For the samples ZnO:Tb3+, the band gap energy increase from 3.3 eV
to 3.4 eV with increase of the molar of Tb3+. In comparition to the original ZnO
crystal, this value of the band gap is larger. The increase of band gap with the
increase of the molar ratio of Tb3+ is due to Moss-Burstein shift.
REFERENCES
[1] Xi Chen, Bing Yan, 2007. Induced synthesis of ZnO:Tb3+ green hybrid phosphors
by the assembly of polyethylene glycol matrices. Materials Letters Vol. 61, pp.
1707-1710.
[2] T.K.Subramanyam, B.Srinivasulu Naidu, S.Uthanna, 1999. Structure and optical
properties of dc reactive magnetron sputtered zinc oxide films. Cryst. Res. Technol
Vol. 34, pp. 981-988.
[3] Z.B.Fang et al, 2005. Transparent conductive Tb-doped ZnO films prepared by rf
reactive magnetron sputtering. Materials Letters Vol. 59, pp. 2611-2614.
[4] X. M. Teng, H. T. Fan, S. S. Pan, C. Ye, and G. H. Lia, 2006. Influence of
annealing on the structural and optical properties of ZnO:Tb thin films. Journal
of Applied Physics Vol. 100, 053507.
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