Investigations of the Elastic Moduli of Er2O3 NPs Doped TeO2 – B2O3 – SiO2 Glasses using Theoretical Models

Authors

  • U. S. Aliyu
    Department of Physics, Faculty of Science, Federal University Lafia, Nasarawa Sate, Nigeria
    https://orcid.org/0000-0001-6249-8287
  • I. G. Geidam
    Department of Physics, Faculty of Sciences, Yobe State University Damaturu, Nigeria
    https://orcid.org/0000-0001-5084-4410
  • M. S. Otto
    Department of Physics, Faculty of Science, Federal University Lafia, Nasarawa Sate, Nigeria
  • M. Hussaini
    Department of Physics, Faculty of Sciences, Umar Suleiman College of Education Gashua, Yobe State, Nigeria

Keywords:

Erbium oxide, Tellurite Glass, Elastic Moduli, Poisson Ratio, Theoretical Models

Abstract

Elastic moduli of {[(TeO2)0.7 (B2O3)0.3]0.8 (SiO2)0.2}1-y (Er2O3 NPs)y glasses  with y = 0.01, 0.02, 0.03, 0.04, 0.05 were studied in this work using the theoretical elastic models. The Makishima & Mackenzie, Rocherulle and bond compression models were employed for the study. In the Makishima and Mackenzie model, the packing density was calculated from the bulk glass molar weight and the bulk glass density whereas in Rocherulle model it is determined as the individual oxides. Young, shear and bulk moduli as well as the Poisson ratio were calculated for the glasses in the Makishima and Rocherulle models, while longitudinal, was calculated in addition to young, bulk and shear moduli using the bond compression model. Bond per unit volume number (nb), bulk modulus, bulk modulus ratio (Kbc/Ke), atomic ring size (?) and stretching force constant were also calculated and presented. The values of the Young, bulk and shear moduli obtained from Makishima model increased from 52.854 to 55.335 GPa, 35.754 to 39.862 GPa and 21.080 to 21.809 GPa respectively with Er2O3 NPs composition increase from 1% to 5%.. The Rocherulle model presented increasing values for Young, bulk and shear moduli as 56.910 to 58.432 GPa, 41.452 to 44.450 GPa and 22.385 to 22.809 GPa respectively with Er2O3 NPs composition increase from 1% to 5%. The bond compression model presented much higher values of the elastic moduli compared to the experimentally obtained values and showed an increasing trend as the Er2O3 NPs concentration increases. In the glass network, the atomic ring size value decreased from 0.5698 to 0.5091 nm indicating an increase in the close packing of atoms. Based on the elastic moduli values presented by all the models, Makishima and Mackenzie model presented a more reliable data and hence represents the best model for the studied glass system.  

Dimensions

N. Elkhoshkhany, R. Abbas, M. S. Gaafar, and R. El-Mallawany, “Elastic properties of quaternary TeO2-ZnO-Nb2O5-Gd2O3 glasses”, Ceram. Int. 41 (2015) 9862 doi:10.1016/j.ceramint.2015.04.060.

M. N. Azlan, M. K. Halimah, A. B. Suriani, Y. Azlina, S. A. Umar, and R. El-mallawany, “Upconversion properties of erbium nanoparticles doped tellurite glasses for high efficient laser glass”, Opt. Commun. 448 (2019) 82. doi: 10.1016/j.optcom.2019.05.022.

S. H. Alazoumi et al., “Optical properties of zinc lead tellurite glasses”, Results Phys. 9 (2018) 1371. doi: 10.1016/j.rinp.2018.04.041.

H. R. Shaari et al., “Investigation of Structural and Optical Properties of Graphene Oxide-Coated Neodymium Nanoparticles Doped Zinc - Tellurite Glass for Glass Fiber”, J. Inorg. Organomet. Polym. Mater. 31 (2021) 1, doi: 10.1007/s10904-021-02061-7.

S. A. Umar et al., “Oxide ion / electronic polarizability , optical basicity and linear dielectric susceptibility of TeO2 – B2O3 – SiO2 glasses”, Ceram. Int. 47 (2021) 21668, doi:10.1016/j.ceramint.2021.04.180.

N. Berwal, S. Dhankhar, P. Sharma, R. S. Kundu, R. Punia, and N. Kishore, “Physical, structural and optical characterization of silicate modi fi ed bismuth-borate-tellurite glasses”, J. Mol. Struct. 1127 (2017) 636, doi: 10.1016/j.molstruc.2016.08.033.

I. G. Geidam et al., “Thermo-physical and elastic properties of Bi2O3 doped silica borotellurite glasses”, Optik (Stuttg). 248 (2021) 12, doi: 10.1016/j.ijleo.2021.168201.

M. K. Halimah, A. A. Awshah, A. M. Hamza, S. A. Umar, K. T. Chan, and S. H. Alazoumi, “Effect of neodymium nanoparticles on optical properties of zinc tellurite glass system”, J. Mater. Sci. Mater. Electron. 31 (2020) 3785, doi: 10.1007/s10854-020-02907-9.

M. K. Halimah et al., “Study of rice husk silicate effects on the elastic, physical and structural properties of borotellurite glasses”, Mater. Chem. Phys. 238 (2019) 121891, doi: 10.1016/j.matchemphys.2019.121891.

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. 6 (2018) 32.

Umar et al., “Physical, structural and optical properties of erbium doped rice husk silicate borotellurite (Er-doped RHSBT) glasses”, J. Non. Cryst. Solids 472 (2017) 31, doi:10.1016/j.jnoncrysol.2017.07.013.

Y. Azlina, M. N. Azlan, M. K. Halimah, S. A. Umar, R. El-mallawany, and G. Najmi, “Optical performance of neodymium nanoparticles doped tellurite glasses”, Phys. B Phys. Condens. Matter 577 (2020) 411784, doi: 10.1016/j.physb.2019.411784.

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 Nanoparticle for Fiber Optics Application”, Chalcogenide Lett. 16 (2019) 215, doi:10.1016/j.jnoncrysol.2017.07.013.

M. N. Azlan et al., “Linear and Nonlinear Optical Efficiency of Novel Neodymium Nanoparticles Doped Tellurite Glass for Advanced Laser Glass”, Educ. JSMT 5 (2018) 47.

S. A. Umar and G. G. Ibrahim, “Theoretical Elastic Moduli of TeO2 – B2O3 – SiO2 Glasses”, Educ. JSMT 7 (2020) 18.

B. Suresh et al., “Enhancement of orange emission of Co2+ ions with Bi3+ ions in lead silicate glasses”, J. Lumin., 172 (2016) 47, doi: 10.1016/j.jlumin.2015.11.018.

S. A. Umar et al., “Spectroscopic investigations of Er2O3 doped silica borotellurite glasses”, Opt. Mater. (Amst). 114 (2021) 110987, doi: 10.1016/j.optmat.2021.110987.

D. Bellucci, A. Sola, R. Salvatori, A. Anesi, L. Chiarini, and V. Cannillo, “Role of magnesium oxide and strontium oxide as modifiers in silicate-based bioactive glasses: Effects on thermal behaviour, mechanical properties and in-vitro bioactivity”, Mater. Sci. Eng. C 72 (2017) 566, doi: 10.1016/j.msec.2016.11.110.

S. A. Umar, M. K. Halimah, K. T. Chan, and A. A. Latif, “Polarizability, optical basicity and electric susceptibility of Er3 + doped silicate borotellurite glasses”, J. Non. Cryst. Solids 471 (2017) 101, doi: 10.1016/j.jnoncrysol.2017.05.018.

A. Makishima and J. D. Mackenzie, “Direct calculation of Young’s modulus of glass”, J. Non. Cryst. Solids 12 (1973) 35, doi: 10.1016/0022-3093(73)90053-7.

A. Makishima and J. D. Mackenzie, “Calculation of bulk modulus, shear modulus and Poisson’s ratio of glass”, J. Non. Cryst. Solids 17 (1975) 147, doi: 10.1016/0022-3093(75)90047-2.

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 108 (1989) 187, doi: 10.1016/0022-3093(89)90582-6.

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. 14 (2017) 303.

Y. B. Saddeek and L. A. El Latif, “Effect of TeO 2 on the elastic moduli of sodium borate glasses”, Phys. B, 348 (2004) 475, doi: 10.1016/j.physb.2004.02.001.

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. 70 (2001) 340, doi:10.1016/S0254-0584(00)00519-8.

R. Laopaiboon and C. Bootjomchai, “Physical properties and thermoluminescence of glasses designed for radiation dosimetry measurements”, Mater. Des. 80 (2015) 20, doi:10.1016/j.matdes.2015.05.002.

Y. B. Saddeek, “Structural analysis of alkali borate glasses”, Phys. B Condens. Matter 344 (2004) 163, doi: 10.1016/j.physb.2003.09.254.

A. Hesham, M. Samier, H. Afifi, and S. Marzouk, “Ultrasonic velocity and elastic moduli of heavy metal tellurite glasses”, Mater. Chem. Phys. 80 (2003) 517, doi: 10.1016/S0254-0584(03)00099-3.

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. 13 (2014) 152, doi: 10.1016/j.cap.2012.07.007.

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. 192 (2017) 228, doi: 10.1016/j.matchemphys.2017.01.086.

N. Elkhoshkhany, R. El-Mallawany, and E. Syala, “Mechanical and thermal properties of TeO2–Bi2O3–V2O5–Na2O–TiO2glass system”, Ceram. Int. 42 (2016) 19218, doi:10.1016/j.ceramint.2016.09.086.

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. 35 (2000) 1285, doi:10.1016/S0025-5408(00)00317-2.

K. A. Matori, M. I. Sayyed, H. A. A. Sidek, M. H. M. Zaid, and V. P. Singh, “Comprehensive study on physical, elastic and shielding properties of lead zinc phosphate glasses”, J. Non. Cryst. Solids 457 (2017) 97, doi: 10.1016/j.jnoncrysol.2016.11.029.

A. A. El-Moneim and A. Abd El-Moneim, “Correlation between acoustical and compositional parameters of borate and tellurite glasses”, Mater. Chem. Phys. 135 (2012) 653, doi: 10.1016/j.matchemphys.2012.05.040.

Y. B. Saddeek, “Structural and acoustical studies of lead sodium borate glasses”, J. Alloys Compd. 467 (2009) 14, doi: 10.1016/j.jallcom.2007.11.126.

M. S. Gaafar, M. A. M. Abdeen, and S. Y. Marzouk, “Structural investigation and simulation of acoustic properties of some tellurite glasses using artificial intelligence technique”, J. Alloys Compd. 509 (2011) 3566, doi: 10.1016/j.jallcom.2010.12.064.

B. P. Hamid-reza et al., “Ultrasonic and optical properties and emission of Er3+ / Yb3+doped lead bismuth-germanate glass affected by Bi+ / Bi2+ ions”, J. Lumin. 143 (2013) 526, doi: 10.1016/j.jlumin.2013.05.053.

Y. B. Saddeek, “Ultrasonic study and physical properties of some borate glasses”, Mater. Chem. Phys. 83 (2004) 222, doi: 10.1016/j.matchemphys.2003.09.051.

M. M. K. Halimah et al., “Ultrasonic Study and Physical Properties of Borotellurite Glasses”, Am. J. Appl. Sci. 2 (2005) 1541.

R. El-Mallawany, M. I. Sayyed, and M. G. Dong, “Comparative shielding properties of some tellurite glasses: Part 2”, J. Non. Cryst. Solids 474 (2017) 16, doi:10.1016/j.jnoncrysol.2017.08.011.

E. S. Yousef, A. El-Adawy, and N. El-KheshKhany, “Effect of rare earth (Pr2O3, Nd2O3, Sm2O3, Eu2O3, Gd2O3and Er2O3) on the acoustic properties of glass belonging to bismuth-borate system”, Solid State Commun. 139 (2006) 108, doi:10.1016/j.ssc.2006.05.022.

W. Chinnamat, R. Laopaiboon, J. Laopaiboon, S. Pencharee, and C. Bootjomchai, “Influence of ionic radius modifying oxides on the elastic properties of glasses using ultrasonic techniques and FTIR spectroscopy”, Phys. Chem. Glas. Eur. J. Glas. Sci. Technol. Part B 58 (2017) 207, doi: 10.13036/17533562.58.5.101.

S. A. Umar et al., “Structural , elastic and thermo - physical properties of Er2O3 nanoparticles doped bio-silicate borotellurite glasses”, SN Appl. Sci. 291 (2020) 1, doi:10.1007/s42452-020-2112-x.

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. 246 (2020) 122801, doi: 10.1016/j.matchemphys.2020.122801.

Published

2022-02-27

How to Cite

Investigations of the Elastic Moduli of Er2O3 NPs Doped TeO2 – B2O3 – SiO2 Glasses using Theoretical Models. (2022). Journal of the Nigerian Society of Physical Sciences, 4(1), 9-15. https://doi.org/10.46481/jnsps.2022.222

Issue

Volume 4, Issue 1, February 2022

Section

Original Research
Copyright & Licensing

Copyright (c) 2022 Journal of the Nigerian Society of Physical Sciences

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Investigations of the Elastic Moduli of Er2O3 NPs Doped TeO2 – B2O3 – SiO2 Glasses using Theoretical Models. (2022). Journal of the Nigerian Society of Physical Sciences, 4(1), 9-15. https://doi.org/10.46481/jnsps.2022.222

Similar Articles

121-130 of 186

You may also start an advanced similarity search for this article.