Research Article  Open Access
Effect of Concurrent ZnO Addition and AlF_{3} Reduction on the Elastic Properties of Tellurite Based Glass System
Abstract
New ternary zinc oxyfluorotellurite (ZOFT) with the composition , where ; ; , has been successfully prepared by the conventional rapid melt quenching technique. Density, molar volume, and glass transition temperature have been assessed for each ZOFT glass sample. The longitudinal and transverse ultrasonic waves propagated in each glass sample were measured using a MBS8020 ultrasonic data acquisition system at 5 MHz frequency and room temperature. The longitudinal modulus (), shear modulus (), Young’s modulus (), bulk modulus (), and Poisson’s ratio () are assessed from both velocity data and their respective density. The compositional dependence of the ultrasonic velocities and related parameters are discussed to understand the rigidity and compactness of the glass system studied.
1. Introduction
Tellurite glasses are very interesting glasses due to their unique physical properties and applications [1–12]. Tellurite glass was applied at the back of amorphous silicon solar cells in combination with a rear reflector to improve the efficiency of the cell [3]. The propagation of ultrasonic waves in solids provides valuable information about the solid state motion in the material. In recent years, the subject of glasses has rapidly increased because of their various applications in electronics, nuclear and solar energy technologies, and acoustooptic devices [11, 12]. The acoustic wave propagation in bulk glasses has been of considerable interest to understand their mechanical properties. Elastic properties provide information on the structures of solids which are directly related to the interatomic potentials. Glasses are isotropic and have only two independent elastic constant: longitudinal and shear elastic moduli. These two parameters are obtained from the longitudinal and shear sound velocities and density of the glass [13]. An extensive series of research works related to elastic properties of binary, ternary, and quaternary tellurite glasses have been carried out recently [14–23].
The choice of new ternary glass series, namely, zinc oxyfluorotellurite (ZOFT), is of particular interest since they are expected to have chemical durability and thermal stability representing a compromise between pure fluoride and oxide glass with flexible optical properties. Furthermore, the introduction of metal halides into the system could improve such properties and will decrease their hygroscopic behaviour which limits the applications of many pure halides glasses. Also, the main objective of the current work is to study the effect of concurrent ZnO addition and AlF_{3} reduction on the density and the elastic properties of zinc tellurite glass systems.
2. Materials and Experimental Method
Zinc oxyfluorotellurite (ZOFT) with the composition , where ; ; , has been successfully synthesized using the rapid melt quenching method and , , are mole % as shown in Table 1. Detailed preparation of these types of glasses is well documented and available elsewhere [14–17]. The density () of the glasses was determined by the Archimedes method with acetone as floating liquid. All the glass samples’ weight was measured with a digital balance (±0.0001 g accuracy). Their molar volume was calculated from the molecular weight () and density (). The accuracy in the measurement of the density is ±0.01 g cm^{−3} and the relative error is ±0.05%. All the glass samples were checked by Xray diffraction for their amorphous nature using X’Pert Pro Panalytical PW 3040 MPD Xray powder diffractometer by employing CrKa radiation. The glass transition temperature () was determined by the differential thermogravimetric analysis (SETARAM instrumentation Labsys DTA/6) at a heating rate of 20 K min^{−1}. The accuracy in the measurement of () is ±2°C.

Ultrasonic velocity measurements were carried out at a frequency of 10 MHz using cut and cut quartz transducers. A pulse superposition technique was employed using Ultrasonic Data Acquisition System (MATEC 8020, Matec Instruments, USA) [17, 18]. Burnt honey was used as a bonding material between the glass samples and transducers. By measuring the thickness of the sample (), longitudinal (), and transverse (), wave velocities were calculated using the relation . The absolute accuracy in the measurement of the velocity is ±5 m s^{−1} and the relative error is ±0.1%. The detailed information related with the experimental method has been discussed elsewhere [20–22].
Glasses are isotropic and have only two independent elastic constants of and which can be obtained from their longitudinal and shear sound wave velocity and density. The various elastic properties of the glasses were calculated using the following standard relations [13, 21]:
3. Results and Discussion
3.1. Glass Composition
Table 1 shows the composition of glass series of zinc oxyfluorotellurite (ZOFT) which have an empirical formula of , where ; ; , where their densities, molar volumes, and glass transition temperature () are also included. Three systematic series of ZOFT glass system each denoted with Pn, Qn, and Rn () have been successfully prepared. It was observed that the color of glass sample changes from semitransparent yellow to transparent yellow as more AlF_{3} content is added to the ZOFT glass system as shown in Figure 1.
3.2. Density
As shown in Figure 1 and Table 1, the densities of all ZOFT glass series increase as the ZnO was added to substitute the AlF_{3} content in the tellurite based glass network system where the trend shows the similar pattern as in the binary zinc tellurite [14, 17]. Generally, the variation of density of ZOFT glass is in accord with their molecular weight where the molecular weight of the glass series increases as more AlF_{3} content is substituted by ZnO in the tellurite glass network. However, the existence of AlF_{3} in zinc tellurite glass causes the values of the densities to be slightly lower than that of binary ZnOTeO_{2} glass samples which range from 4.80 to 5.28 cm^{−3} [17]. The present results are in good agreement with the earlier statement of Mallawany’s that the halogen substitution lowered the density of the glass sample [11, 13]. Even the addition of ZnCl_{2} into the oxychloride glass system (TeO_{2}ZnOZnCl_{2}) also lowered the densities of the TeO_{2}ZnO glass system [24, 25]. Density values of (50)ZnOBi_{2}O_{3}50V_{2}O_{5} [26] were changed from 3.5 to 5.13 g/cm^{3}.
As shown in Figure 1, the densities increase linearly with the concurrent addition of ZnO and reduction of AlF_{3} content. In this case, as more ZnO content is added into the zinc tellurite glass system, two Zn–F single bonds will replace the Zn=O double bonds; hence, the structure of the glasses becomes closepacked, which results in an increase in density. Fluorine plays an important role in the glass matrix; replacing the O^{2−} ions causes the compositional dependence of the density and molar volume [27]. The molecular weight of TeO_{2} is 159.599 which is greater than AlF_{3} (83.977) and ZnO (81.408), whereas the atomic weight of individual constituent atom is Te (127.6) > Zn (65.39) > Al (26.9815) > F (18.998) > O (15.9999) and the atomic radius of each of the constituent atoms (in ppm) is Al (143) > Te (140) > Zn (134) > O (66) > F (64).
3.3. Molar Volume
Figure 2 also shows the variation of molar volume with ZnO content for all ZOFT glass series. The decrease in molar volumes for all glass systems which range from 29.28 to 24.77 × 10^{−6} cm^{3}/mol attributed to a decrease in the bond length or interatomic spacing between the atoms. The radius of Te^{2+} (0.097 nm) is much greater than that of Zn^{2+} (0.074 nm) and since the radius of Al^{3+} is 0.0535 nm which also has a smaller radius than Zn^{2+} attributed to this situation. Molar volume of the pure TeO_{2} glass was 31.28 × 10^{−6} cm^{3}/mol [13]. The current finding shows that the molar volume for ZOFT glass system results shows slightly higher values than that of the binary zinc tellurite glasses [14]. The much higher reduction in the molar volume for the ZOFT glass sample containing flourine is attributed to the decrease in viscosity due to the breaking of the Te–O–Te bond to form two Te–F bonds, which increase the efficiency of the crystallization process [28]. The addition of ZnO that consists of Zn^{2+} will certainly modify the tellurite glass structure by creating NBOs in the network, and this situation might occur in ZOFT glass system. The NBOs created were believed to alter the glass structure in a way that packing of the molecule becomes denser as more network modifier ions (in this case Al^{3+}) attempt to occupy the interstices within the network.
3.4. Glass Transition
In the present investigation, all of the glasses have an endothermic change between 362 and 395°C which attributes to the glass transition temperature, . The Zn^{2+} is incorporated into the glass structure as a network modifier, resulting in closed packing of the glass structure. However, a continuous decrease in with the increase in network modifier contents of ZnO and reduction of AlF_{3} has been observed as collected in Table 1. In the present glasses, the decrease in values with increase in Zn^{2+} content contributes to a decrease in thermal stability of the ZOFT glasses that will be discussed elsewhere. The glass transition reflects a change in the coordination number of the network forming atoms and destruction of the network structure brought about by the formation of some nonbridging atoms. The decrease in the glass transition temperature values implies that the number of bridging oxygen groups decreases. This is mainly due to the addition of ZnO which weakens the bond between each atom (increases the number of NBOs atom). The bond is easier to break and hence the of the sample decreased. Furthermore, it also implies a decrease in rigidity of the glass network. It was observed that replacing O^{2−} with F^{−} in the oxyfluoride tellurite glass matrix causes the compositional dependence of the glass transition temperature, , and other physical properties in the ZOFT glass system.
3.5. Sound Wave Velocity
Figure 2 depicts the variation of longitudinal and shear velocities for ZOFT glass series. The variation of both wave velocities that propagated in the present ZOFT bulk glass samples strongly depends on the structural change of the glass network. The longitudinal and shear ultrasonic velocities for each ZOFT glass series are given in Table 2 for a different mole fraction of ZnO content. As shown in Figure 2, it can be seen that, in the glasses studied, both longitudinal and shear ultrasonic velocities decrease nonlinearly with ZnO addition to substitute the AlF_{3} in the ZOFT glass system for all series.

It is obviously seen that the decreasing values of both velocities are much higher (>10%) in the lower concentration of 60 mol% TeO_{2} as compared with 70 mol% glass series (>7%). For instance, the longitudinal velocity for R1 to R5 (TeO_{2} : 0.60) glass samples decreases from 3714 m/s to 3337 m/s and shear velocity from 2194 m/s to 1931 m/s as the ZnO content increases from 15 to 35 mol% and AlF_{3} content decreases from 25 to 5 mol%, whereas the longitudinal velocity for glass series (TeO_{2} : 70) glass samples decreases from 3669 m/s to 3390 m/s as the ZnO content increases from 5to 25 mol% and AlF_{3} content decreases from 25 to 5 mol%. The overall percentage decrease of velocities of each glass series is given in Table 3. It is noticed that the percentage of decrement in velocity increases with the increasing of substituting AlF_{3} content. It means that the more AlF_{3} substitution to ZnO content, the higher the difference between maximum velocity and minimum velocity for both longitudinal and shear velocity. The observed difference between higher values at low TeO_{2} content ( mol%) and lower values at high TeO_{2} content ( mol%) in the velocity confirms a substantial change in the glass structure. The decrease in AlF_{3} content decreases velocities through glass, and elastic stiffness is also reduced as observed earlier [25]. As small quantity of AlF_{3} is added into the TeO_{2}ZnO glass network, a breaking of Te–O–Te takes place. The conversion of this linkage results in depolymerization of network leading to the formation of –Te bridges with the apparition of nonbridging oxygen (NBO) [29]. Therefore, the continual breaking of the Te–O–Te linkages with addition of ZnO to substitute AlF_{3} contents leads to the loose packing of the glass network and, hence, a decrease in rigidity. The observed results can be further substantiated by revealing the composition dependent ultrasonic parameters.

It is inferred that a decrease in Te coordination number () has resulted with the increase in the modifier content [30]. Further, a decrease in the coordination number results in slight decrease in the mean Te–O bond length () [29]. Thus, it is inferred that the observed continuous decrease in sound velocity in the present glasses is due to the change in coordination number with the addition of ZnO to substitute AlF_{3 }content. An introduction of fluorine into TeO_{2}based glass system results in reduction of Te–O–Te linkages due to a gradual transformation of trigonal bipyramid TeO_{4} (tbp) through TeO_{3+1} to trigonal pyramid TeO_{3} decreasing the connectivity of the tellurite glass former network. This behaviour is strengthened by the higher concentration of F^{−} ions [27].
3.6. Elastic Moduli
Elastic modulus of the present ZOFT glass series has been determined from the measured ultrasonic velocities and densities. Table 4 presents the experimental values of the elastic moduli: Young’s modulus (), longitudinal modulus (), shear modulus (), bulk modulus (), and Poisson’s ratio () for each ZOFT glass series.

For P1 to P5 glass series, Young’s modulus decreases from 32.80 to 31.64 GPa. This pattern is applied to the rest of ZOFT glass series. The addition of ZnO and AlF_{3} reduction result in low network rigidity, which in turn results in decrease of the longitudinal () and shear () modulus. The decrease of shear modulus () and bulk modulus () is probably due to the tendency of the change in the coordination number of Te in the ZOFT glass network. For the ZOFT glasses both the degree of crosslinking and the relative proportions of different types of bonds may be changed with the glass composition. The existence of AlF_{3} and the nature of TeO_{2} not only cause a decrease in the elastic moduli, but also cause an increase in Poisson’s ratio (Table 4).
3.7. Poisson’s Ratio
It has been reported that Poisson’s ratio is affected by the changes in the crosslink density of the glass network. The glass structure with high crosslink density has Poisson’s ratio in the order of 0.1 to 0.2, while structure with low crosslink density has Poisson’s ratio in the order of 0.3 to 0.5. As shown in Figure 4, Poisson’s ratio of the present glass shows a nonlinear increase as the ZnO content increases for all glass series. For instance, from Q1 to Q5 glass series, Poisson’s ratio increases from 0.232 to 0.248. Hence the values of the Poisson’s ratio are of the order 0.2 which reveals a high crosslink density [29]. Poisson’s ratio obtained from the calculation shows reverse changes and trend compared to other elastic moduli. The variation of Poisson’s ratio with composition should be exactly the reverse of elastic moduli variation [31]. For all series of glass, the transformation of crosslinkage is negligibly small (changes about 0.02) and almost remains constant. Flourine plays a role in decreasing the connectivity of the glass structure. It also indicates a strengthening in the glass structure which may be due to the introduction of stronger ionic bonds in the glass network [31, 32].
3.8. Fractal Bond Connectivity
The fractal bond connectivity () is a ratio between shear to bulk modulus ratio (of ZOFT glass series at room temperature and is presented in Table 4. The fractal bond connected as shown in Figure 4 for ZOFT glass series tends to decrease with increasing ZnO content which is consistent with the loss or weakening of crosslink between TeO_{2} chains. In this study, the fractal bond connectivity, (), of these glasses ranges between 2.804 and 2.420. These suggest an intermediate connectivity between a two and a threedimensional disordered network, which implies a marked degree of crosslinkage between TeO_{2} chains, as would be anticipated for modifier cations whose valence is greater than unity, or increased branching of the network of TeO_{2} chains facilitated by an increase in the number of endings and branching units incorporated into the basic tellurite network.
3.9. Regression Analysis
All the current experimental data obtained from ZOFT glass series were analyzed using Microsoft Excel, with nonlinear fitting regression curves, where the results of the regression coefficients are presented in Table 5. The regression coefficients obtained from each curve are shown in Figures 1, 2, 3, and 4. In Table 5, stands for the variables shown in the first column. As can be seen in previous figures, for most of the variables, a nonlinear curve () gives the best fit. Except for Young’s modulus (), the values lie between 0.622 and 0.9161.

4. Conclusion
New ternary zinc oxyfluorotellurite (ZOFT) with the compositions  , where ; ; , has been achieved. The characteristics of ZOFT glass series were studied with the effect of concurrent ZnO addition and AlF_{3} reduction in the tellurite glass matrix.(i)The densities of the ZOFT glasses increase as the ZnO content was added to substitute the AlF_{3} content for ZOFT glass series while their molar volume decreases. The increase in density was due to the decrease of molar volume as well as interatomic spacing.(ii)The glass transition temperatures show the decreasing trend with the addition of ZnO content. These decreases can be explained by the role of the fluorine ions which substitute the TeO_{2}ZnO network.(iii)The observed decrease in ultrasonic velocities confirmed a substantial change in the glass structure. The concurrent Zn addition and AlF_{3} reduction in the tellurite glass matrix cause more ions to be opened up in the network. Thus, weakening of the glass structure or reduction in the rigidity of the network takes place.(iv)All elastic constants decrease with the addition of the ZnO content and AlF_{3} reduction in the ZOFT glass series. The effect of the halogen substitution F^{−} on the elastic properties was expected to produce quite different changes in physical properties.
Conflict of Interests
The authors declare that there is no conflict of interests regarding the publication of this paper.
Acknowledgments
The financial support from Ministry of Science, Technology and Innovation, Malaysia, and Universiti Putra Malaysia (UPM), each under the Fundamental Research Grant Scheme (vote no. 5524288) and Research University Grant Scheme (vote no. 9340800), is gratefully acknowledged.
References
 T. Cheng, K. Asano, Z. Duan et al., “Design and optimization of tellurite hybrid microstructured optical fiber with high nonlinearity and low flattened chromatic dispersion for optical parametric amplification,” Optics Communications, vol. 318, pp. 105–111, 2014. View at: Google Scholar
 R. N. Hampton, W. Hong, G. A. Saunders, and R. A. ElMallawany, “The dielectric properties of tellurite glass,” Physics and Chemistry of Glasses, vol. 29, no. 3, pp. 100–105, 1988. View at: Google Scholar
 F. Yang, C. Liu, D. Wei, Y. Chen, J. Lu, and Sh. Yang, “Er^{3+}Yb^{3+} codoped TeO_{2}PbF_{2} oxyhalide tellurite glasses for amorphous silicon solar cells,” Optical Materials, vol. 36, pp. 1040–1043, 2014. View at: Google Scholar
 R. A. ElMallawany, L. M. Sharaf ElDeen, and M. M. Elkholy, “Dielectric properties and polarizability of molybdenum tellurite glasses,” Journal of Materials Science, vol. 31, no. 23, pp. 6339–6343, 1996. View at: Publisher Site  Google Scholar
 I. Z. Hager, R. ElMallawany, and M. Poulain, “Infrared and Raman spectra of new molybdenum and tungsten oxyfluoride glasses,” Journal of Materials Science, vol. 34, no. 21, pp. 5163–5168, 1999. View at: Publisher Site  Google Scholar
 R. ElMallawany, “Quantitative analysis of elastic moduli of tellurite glasses,” Journal of Materials Research, vol. 5, no. 10, pp. 2218–2222, 1990. View at: Publisher Site  Google Scholar
 S. Laila, A. Suraya, and A. Yahya, “Effect of glass network modification on elastic and structural properties of mixed electronicionic 35V_{2}O_{5}(65x)TeO_{2}(x)Li_{2}O glass system,” Chalcogenide Letters, vol. 11, pp. 91–104, 2014. View at: Google Scholar
 H. M. M. Moawad, H. Jain, and R. ElMallawany, “DC conductivity of silver vanadium tellurite glasses,” Journal of Physics and Chemistry of Solids, vol. 70, no. 1, pp. 224–233, 2009. View at: Publisher Site  Google Scholar
 R. ElMallawany, A. Abousehly, and E. Yousef, “Elastic moduli of tricomponent tellurite glasses TeO_{2}V_{2}O_{5}Ag_{2}O,” Journal of Materials Science Letters, vol. 19, no. 5, pp. 409–411, 2000. View at: Publisher Site  Google Scholar
 F. Nawaz, M. R. Sahar, S. K. Ghoshal, A. Awang, and I. Ahmed, “Concentration dependent structural and spectroscopic properties of Sm3^{+} /Yb3^{+} codoped sodium tellurite glass,” Physica B: Condensed Matter, vol. 433, pp. 89–95, 2014. View at: Publisher Site  Google Scholar
 R. ElMallawany and I. A. Ahmed, “Thermal properties of multicomponent tellurite glass,” Journal of Materials Science, vol. 43, no. 15, pp. 5131–5138, 2008. View at: Publisher Site  Google Scholar
 R. ElMallawany, A. Abousehly, A. A. ElRahamani, and E. Yousef, “Radiation effect on the ultrasonic attenuation and internal friction of tellurite glasses,” Materials Chemistry and Physics, vol. 52, no. 2, pp. 161–165, 1998. View at: Publisher Site  Google Scholar
 R. ElMallawany, “Tellurite glasses part 1. Elastic properties,” Materials Chemistry and Physics, vol. 53, no. 2, pp. 93–120, 1998. View at: Publisher Site  Google Scholar
 H. A. A. Sidek, S. Rosmawati, Z. A. Talib, M. K. Halimah, and W. M. Daud, “Synthesis and optical properties of ZnOTeO_{2} glass system,” American Journal of Applied Sciences, vol. 6, no. 8, pp. 1489–1494, 2009. View at: Publisher Site  Google Scholar
 S. Rosmawati, H. A. A. Sidek, A. T. Zainal, and H. Mohd Zobir, “IR and UV spectral studies of zinc tellurite glasses,” Journal of Applied Sciences, vol. 7, no. 20, pp. 3051–3056, 2007. View at: Publisher Site  Google Scholar
 P. Gayathri Pavani, K. Sadhana, and V. Chandra Mouli, “Optical, physical and structural studies of borozinc tellurite glasses,” Physica B: Condensed Matter, vol. 406, no. 67, pp. 1242–1247, 2011. View at: Publisher Site  Google Scholar
 H. A. A. Sidek, S. Rosmawati, M. K. Halimah, K. A. Matori, and Z. A. Talib, “Effect of AlF_{3} on the density and elastic properties of zinc tellurite glass systems,” Materials, vol. 5, no. 8, pp. 1361–1372, 2012. View at: Publisher Site  Google Scholar
 S. Rosmawati, H. A. A. Sidek, A. T. Zainal, and H. M. Zobir, “Effect of zinc on the physical properties of tellurite glass,” Journal of Applied Sciences, vol. 8, no. 10, pp. 1956–1961, 2008. View at: Publisher Site  Google Scholar
 J. N. Ayuni, M. K. Halimah, Z. A. Talib et al., “Optical properties of ternary TeO_{2}B_{2}O_{3}ZnO glass system,” IOP Conference Series: Materials Science and Engineering, vol. 17, no. 1, Article ID 012027, 2011. View at: Publisher Site  Google Scholar
 M. K. Halimah, W. M. Daud, and H. A. A. Sidek, “Elastic properties of TeO_{2}B_{2}O_{3}Ag_{2}O glasses,” Ionics, vol. 16, no. 9, pp. 807–813, 2010. View at: Publisher Site  Google Scholar
 S. H. Ab Aziz, R. Sharuddin, K. A. Matori, and H. M. Kamari, “Elastic moduli of zinc oxyfluorotellurite glasses,” Journal of Materials Science and Engineering, vol. 5, no. 3, pp. 319–322, 2011. View at: Google Scholar
 H. A. A. Sidek, S. Rosmawati, K. A. Matori, M. K. Halimah, and B. Z. Azmi, “Elastic constants of (TeO_{2})_{90}${\left(\text{Al}{\text{f}}_{3}\right)}_{10x}$(ZnO)_{x} zinc oxyfluorotellurite glasses,” IOP Conference Series: Materials Science and Engineering, vol. 17, no. 1, Article ID 012031, 2011. View at: Publisher Site  Google Scholar
 H. A. A. Sidek, S. Rosmawati, B. Z. Azmi, and A. H. Shaari, “Effect of ZnO on the thermal properties of tellurite glass,” Advances in Condensed Matter Physics, vol. 2013, Article ID 783207, 6 pages, 2013. View at: Publisher Site  Google Scholar
 M. R. Sahar and N. Noordin, “Oxychloride glasses based on the TeO_{2}ZnOZnCl_{2} system,” Journal of NonCrystalline Solids, vol. 184, no. 1, pp. 137–140, 1995. View at: Publisher Site  Google Scholar
 R. A. ElMallawany and G. A. Saunders, “Elastic behaviour under pressure of the binary tellurite glasses TeO_{2}ZnCl_{2} and TeO_{2}WO_{3},” Journal of Materials Science Letters, vol. 6, no. 4, pp. 443–446, 1987. View at: Publisher Site  Google Scholar
 R. Punia, R. Kundu, J. Hooda, S. Dhankhar, S. Dahiya, and N. kishore, “Effect of Bi_{2}O_{3} on structural, optical, and other physical properties of semiconducting zinc vanadate glasses,” Journal of Applied Physics, vol. 110, Article ID 033527, 2011. View at: Google Scholar
 G. Wang, S. Dai, J. Zhang, S. Xu, L. Hu, and Z. Jiang, “Effect of F ions on physical and spectroscopic properties of Yb3+doped TeO_{2}based glasses,” Journal of Luminescence, vol. 113, no. 12, pp. 27–32, 2005. View at: Publisher Site  Google Scholar
 S. Likitvanichkul and W. C. Lacourse, “Effect of fluorine content on crystallization of canasite glassceramics,” Journal of Materials Science, vol. 30, no. 24, pp. 6151–6155, 1995. View at: Publisher Site  Google Scholar
 A. N. Begum and V. Rajendran, “Structure and elastic properties of TeO_{2}BaF_{2} glasses,” Journal of Physics and Chemistry of Solids, vol. 67, no. 8, pp. 1697–1702, 2006. View at: Publisher Site  Google Scholar
 A. Ibanez, T. Ericsson, O. Lindqvist, D. Bazin, and E. Philippot, “Local range order of tellurium atoms in TeO_{2}BaO and TeO_{2}BaF_{2} glassy systems,” Journal of Materials Chemistry, vol. 4, no. 7, pp. 1101–1106, 1994. View at: Publisher Site  Google Scholar
 A. ElAdawy and Y. Moustafa, “Elastic properties of bismuth borate glasses,” Journal of Physics D: Applied Physics, vol. 32, no. 21, pp. 2791–2796, 1999. View at: Publisher Site  Google Scholar
 R. ElMallawany, M. Sidkey, A. Khafagy, and H. Afifi, “Ultrasonic attenuation of tellurite glasses,” Materials Chemistry and Physics, vol. 37, no. 2, pp. 197–200, 1994. View at: Publisher Site  Google Scholar
Copyright
Copyright © 2014 Haji Abdul Aziz Sidek et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.