Theoretical Elastic Moduli of TeO2 – B2O3 – SiO2 Glasses
DOI:
https://doi.org/10.37134/ejsmt.vol7.2.3.2020Keywords:
Elastic moduli, packing density, Poisson ratio, Silica glassesAbstract
In this work, the elastic moduli of silica based borotellurite glass system with compositional formula; [(TeO2)0.7 (B2O3)0.3]1-x (SiO2)x with x= 0.0, 0.1, 0.2, 0.3 and 0.4 was studied using theoretical models. Makishima and Mackenzie, bond compression, Rocherulle, and ring deformation models were employed in the calculation of the elastic moduli, Poisson ratio, packing density, dissociation energy, cross-link density, average stretching force constant and the glass network ring size of the studied glasses. The values of the elastic moduli obtained from the Makishima and Mackenzie model were found to be lower than those obtained from the Rocherulle model and the value from the bond compression model was reported to be highest among the three models. In all the models, the elastic moduli increased with an increase in the concentration of silica in the glass composition. Therefore, it satisfied the original intention of improving mechanical strength to achieve high Young modulus which is considered in glasses fiber drawing/ manufacturing.
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References
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doi: 10.1016/j.matchemphys.2012.05.040.
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[26] Y. B. Saddeek, L. Abd, and E. Latif, “Effect of TeO 2 on the elastic moduli of sodium borate glasses,” Phys. B, vol. 348, pp. 475–484, 2004,
doi: 10.1016/j.physb.2004.02.001.
[27] A. Makishima and J. D. Mackenzie, “Calculation of bulk modulus, shear modulus and Poisson’s ratio of glass,” J. Non. Cryst. Solids, vol. 17, no. 2, pp. 147–157, 1975,
doi: 10.1016/0022-3093(75)90047-2.
[28] T. Rouxel and E. Properties, “Elastic Properties and Short-to Medium-Range Order in Glasses,” J. Am. Ceram. Soc., vol. 90, no. 10, pp. 3019–3039, 2007,
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[29] L.-G. G. Hwa, C. L. Lu, and L.-C. C. Liu, “Elastic moduli of calcium alumino-silicate glasses studied by Brillouin scattering,” Mater. Res. Bull., vol. 35, no. 8, pp. 1285–1292, 2000,
doi: 10.1016/S0025-5408(00)00317-2.
[30]Y. B. Saddeek, “Elastic properties of Gd 3+ -doped tellurovanadate glasses using pulse-echo technique,” Mater. Chem. Phys., vol. 91, pp. 146–153, 2005,
doi: 10.1016/j.matchemphys.2004.11.005.
[31] R. A. Tafida et al., “Structural, optical and elastic properties of silver oxide incorporated zinc tellurite glass system doped with Sm3+ ions,” Mater. Chem. Phys., vol. 246, no. February, p. 122801, 2020,
doi: 10.1016/j.matchemphys.2020.122801.
[32] Y. B. Saddeek and L. A. El Latif, “Effect of TeO2 on the elastic moduli of sodium borate glasses,” Phys. B Condens. Matter, vol. 348, no. 1–4, pp. 475–484, May 2004,
doi: 10.1016/j.physb.2004.02.001.
[33] L. Hasnimulyati, M. K. Halimah, A. Zakaria, S. A. Halim, and M. Ishak, “A comparative study of the experimental and the theoretical elastic data of Tm3+doped zinc borotellurite glass,” Mater. Chem. Phys., vol. 192, pp. 228–234, 2017,
doi: 10.1016/j.matchemphys.2017.01.086.
[34] A. Abd El-Moneim, “Bond compression bulk modulus and Poisson’s ratio of the polycomponent silicate glasses,” Mater. Chem. Phys., vol. 70, no. 3, pp. 340–343, 2001,
doi: 10.1016/S0254-0584(00)00519-8.
[35] Y. B. Saddeek, “Structural and acoustical studies of lead sodium borate glasses,” J. Alloys Compd., vol. 467, pp. 14–21, 2009,
doi: 10.1016/j.jallcom.2007.11.126.
doi: 10.1016/j.jnoncrysol.2017.07.013.
[2] M. K. H. A. A. Awshah, A. M. Hamza, K. T. C. S. A. Umar, and S. H. Alazoumi, “Effect of neodymium nanoparticles on optical properties of zinc tellurite glass system,” J. Mater. Sci. Mater. Electron., vol. 31, no. 2020, pp. 3785–3794, 2020,
doi: 10.1007/s10854-020-02907-9.
[3] S. H. Alazoumi et al., “Optical properties of zinc lead tellurite glasses,” Results Phys., vol. 9, no. March, pp. 1371–1376, 2018,
doi: 10.1016/j.rinp.2018.04.041.
[4] M. N. Azlan, M. K. Halimah, S. S. Hajer, A. B. Suraini, Y. Azlina, and S. A. Umar, “Enhanced Optical Performance of Tellurite Glass Doped with Samarium Nanoparticles for Fiber Optics Application,” Chalcogenide Lett., vol. 5, no. May, pp. 215–229, 2019.
[5] M. K. Halimah et al., “Effect of erbium nanoparticles on structural and spectroscopic properties of bio-silica borotellurite glasses containing silver oxide,” Mater. Chem. Phys., vol. 236, no. June, p. 121795, 2019,
doi: 10.1016/j.matchemphys.2019.121795.
[6] S. A. Umar, M. K. Halimah, A. M. Hamza, and A. A. Abdulbaset, “The Structural , Physical and Optical Properties of Borotellurite Glasses Incorporated with Silica from Rice Husk,” J. Sci. Math. Lett., vol. 6, no. 2018, pp. 32–46, 2018.
[7] S. A. Umar et al., “Optical and structural properties of rice husk silicate incorporated borotellurite glasses doped with erbium oxide nanoparticles,” J. Mater. Sci. Mater. Electron., vol. 30, no. 2019, pp. 18606–18616, 2019,
doi: 10.1007/s10854-019-02213-z.
[8] S. A. Umar, M. K. H. M. N. Azlan, L. U. G. G. G. Ibrahim, and A. F. A. A. M. Hamza, “Structural , elastic and thermo ‑ physical properties of Er 2 O 3 nanoparticles doped bio ‑ silicate borotellurite glasses,” SN Appl. Sci., vol. 291, no. 2, pp. 1–10, 2020,
doi: 10.1007/s42452-020-2112-x.
[9] H. A. A. Sidek, R. El-Mallawany, K. A. Matori, and M. K. Halimah, “Effect of PbO on the elastic behavior of ZnO–P2O5 glass systems,” Results Phys., vol. 6, pp. 449–455, 2016,
doi: 10.1016/j.rinp.2016.07.014.
[10] A. Makishima and J. D. Mackenzie, “Direct calculation of Young’s modulus of glass,” J. Non. Cryst. Solids, vol. 12, no. 1, pp. 35–45, 1973,
doi: 10.1016/0022-3093(73)90053-7.
[11] J. Rocherulle, C. Ecolivet, M. Poulain, P. Verdier, and Y. Laurent, “Elastic moduli of oxynitride glasses. Extension of Makishima and Mackenzie’s theory,” J. Non. Cryst. Solids, vol. 108, no. 2, pp. 187–193, 1989,
doi: 10.1016/0022-3093(89)90582-6.
[12] H. A. A. Sidek, R. El-Mallawany, K. A. Matori, and M. K. Halimah, “Effect of PbO on the elastic behavior of ZnO-P2O5 glass systems,” Results Phys., vol. 6, no. August, pp. 449–455, 2016,
doi: 10.1016/j.rinp.2016.07.014.
[13] R. El-mallawany and A. Abd El-Moneim, “Comparison between the Elastic Moduli of Tellurite and Phosphate glasses,” Phys. Stat. Sol, vol. 62, no. 166, pp. 829–834, 1998.
[14] Y. B. Saddeek, “Ultrasonic study and physical properties of some borate glasses,” Mater. Chem. Phys., vol. 83, no. 2004, pp. 222–228, 2004,
doi: 10.1016/j.matchemphys.2003.09.051.
[15] S. H. Alazoumi, H. A. A. Sidek, M. K. Halimah, K. A. Matori, M. H. M. Zaid, and A. A. Abdulbaset, “Synthesis and elastic properties of ternary ZnO-PbO-TeO2 glasses,” Chalcogenide Lett., vol. 14, no. 8, pp. 303–320, 2017.
[16] A. A. El-Moneim and A. Abd El-Moneim, “Bond compression bulk modulus and Poisson’s ratio of the polycomponent silicate glasses,” Mater. Chem. Phys., vol. 70, no. 3, pp. 340–343, 2001,
doi: 10.1016/S0254-0584(00)00519-8.
[17] R. Laopaiboon and C. Bootjomchai, “Physical properties and thermoluminescence of glasses designed for radiation dosimetry measurements,” Mater. Des., vol. 80, pp. 20–27, 2015,
doi: 10.1016/j.matdes.2015.05.002.
[18] Y. B. Saddeek, “Structural analysis of alkali borate glasses,” Phys. B, vol. 344, pp. 163–175, 2004,
doi: 10.1016/j.physb.2003.09.254.
[19] H. Afifi, S. Marzouk, A. Hesham, and M. Samier, “Ultrasonic velocity and elastic moduli of heavy metal tellurite glasses,” vol. 80, no. 2, pp. 517–523, 2003,
doi: 10.1016/S0254-0584(03)00099-3.
[20] M. S. Gaafar, S. Y. Marzouk, H. A. Zayed, L. I. Soliman, and A. H. S. El-deen, “Structural studies and mechanical properties of some borate glasses doped with different alkali and cobalt oxides,” Curr. Appl. Phys., vol. 13, no. 1, pp. 152–158, 2013,
doi: 10.1016/j.cap.2012.07.007.
[21] A. Abd El-Moneim, H. Y. Alfifi, A. A. El-Moneim, and Y. A. Hassan, “Approach to dissociation energy and elastic properties of vanadate and V2O5-contained glasses from single bond strength: Part I,” Mater. Chem. Phys., vol. 207, pp. 271–281, 2018,
doi: 10.1016/j.matchemphys.2017.12.057.
[22] Y. B. Saddeek, “Study of elastic moduli of lithium borobismuthate glasses using ultrasonic technique,” J. Non. Cryst. Solids, vol. 357, no. 15, pp. 2920–2925, 2011,
doi: 10.1016/j.jnoncrysol.2011.03.034.
[23] A. A. El-Moneim, “Correlation between acoustical and compositional parameters of borate and tellurite glasses,” Mater. Chem. Phys., vol. 135, no. 2–3, pp. 653–657, 2012,
doi: 10.1016/j.matchemphys.2012.05.040.
[24] A. A. El-Moneim and A. Abd El-Moneim, “Correlation between acoustical and compositional parameters of borate and tellurite glasses,” Mater. Chem. Phys., vol. 135, no. 2–3, pp. 653–657, 2012,
doi: 10.1016/j.matchemphys.2012.05.040.
[25] R. A. H. A. H. El-mallawany, Tellurite Glasses Handbook: Physical Properties and Data. Florida: CRC Press LLC, 2002.
[26] Y. B. Saddeek, L. Abd, and E. Latif, “Effect of TeO 2 on the elastic moduli of sodium borate glasses,” Phys. B, vol. 348, pp. 475–484, 2004,
doi: 10.1016/j.physb.2004.02.001.
[27] A. Makishima and J. D. Mackenzie, “Calculation of bulk modulus, shear modulus and Poisson’s ratio of glass,” J. Non. Cryst. Solids, vol. 17, no. 2, pp. 147–157, 1975,
doi: 10.1016/0022-3093(75)90047-2.
[28] T. Rouxel and E. Properties, “Elastic Properties and Short-to Medium-Range Order in Glasses,” J. Am. Ceram. Soc., vol. 90, no. 10, pp. 3019–3039, 2007,
doi: 10.1111/j.1551-2916.2007.01945.x.
[29] L.-G. G. Hwa, C. L. Lu, and L.-C. C. Liu, “Elastic moduli of calcium alumino-silicate glasses studied by Brillouin scattering,” Mater. Res. Bull., vol. 35, no. 8, pp. 1285–1292, 2000,
doi: 10.1016/S0025-5408(00)00317-2.
[30]Y. B. Saddeek, “Elastic properties of Gd 3+ -doped tellurovanadate glasses using pulse-echo technique,” Mater. Chem. Phys., vol. 91, pp. 146–153, 2005,
doi: 10.1016/j.matchemphys.2004.11.005.
[31] R. A. Tafida et al., “Structural, optical and elastic properties of silver oxide incorporated zinc tellurite glass system doped with Sm3+ ions,” Mater. Chem. Phys., vol. 246, no. February, p. 122801, 2020,
doi: 10.1016/j.matchemphys.2020.122801.
[32] Y. B. Saddeek and L. A. El Latif, “Effect of TeO2 on the elastic moduli of sodium borate glasses,” Phys. B Condens. Matter, vol. 348, no. 1–4, pp. 475–484, May 2004,
doi: 10.1016/j.physb.2004.02.001.
[33] L. Hasnimulyati, M. K. Halimah, A. Zakaria, S. A. Halim, and M. Ishak, “A comparative study of the experimental and the theoretical elastic data of Tm3+doped zinc borotellurite glass,” Mater. Chem. Phys., vol. 192, pp. 228–234, 2017,
doi: 10.1016/j.matchemphys.2017.01.086.
[34] A. Abd El-Moneim, “Bond compression bulk modulus and Poisson’s ratio of the polycomponent silicate glasses,” Mater. Chem. Phys., vol. 70, no. 3, pp. 340–343, 2001,
doi: 10.1016/S0254-0584(00)00519-8.
[35] Y. B. Saddeek, “Structural and acoustical studies of lead sodium borate glasses,” J. Alloys Compd., vol. 467, pp. 14–21, 2009,
doi: 10.1016/j.jallcom.2007.11.126.
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Published
2020-08-05
How to Cite
Umar, S. A., & Ibrahim, G. G. (2020). Theoretical Elastic Moduli of TeO2 – B2O3 – SiO2 Glasses. EDUCATUM Journal of Science, Mathematics and Technology, 7(2), 18–30. https://doi.org/10.37134/ejsmt.vol7.2.3.2020
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