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Analysis of the elastic model application for the phosphate glasses containing gadolinium and terbium

A series of rare-earth phosphate glasses, (Gd2O3)x(P2O5)1-x with x= 0.222, 0.226, 0.229, 0.245 and (Tb2O3) x (P2O5) 1-x with x=0.226, 0.247, 0.263, 0.271 have been quantitatively studied. The room temperature of elastic moduli and Poisson’s ratio for each phosphate glass were estimated from the meas...

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Main Authors: Ab. Aziz, Sidek, Mohamed Kamari, Halimah, Ng, Cheah Lin, Matori, Khamirul Amin, Wan Yusoff, Wan Mohamad Daud
Format: Conference or Workshop Item
Language:English
Published: Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia 2010
Online Access:http://psasir.upm.edu.my/id/eprint/64967/1/2010-1.pdf
http://psasir.upm.edu.my/id/eprint/64967/
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spelling my.upm.eprints.649672018-09-03T04:10:03Z http://psasir.upm.edu.my/id/eprint/64967/ Analysis of the elastic model application for the phosphate glasses containing gadolinium and terbium Ab. Aziz, Sidek Mohamed Kamari, Halimah Ng, Cheah Lin Matori, Khamirul Amin Wan Yusoff, Wan Mohamad Daud A series of rare-earth phosphate glasses, (Gd2O3)x(P2O5)1-x with x= 0.222, 0.226, 0.229, 0.245 and (Tb2O3) x (P2O5) 1-x with x=0.226, 0.247, 0.263, 0.271 have been quantitatively studied. The room temperature of elastic moduli and Poisson’s ratio for each phosphate glass were estimated from the measured density and 15 MHz ultrasonic longitudinal and shear wave velocities. Previous experimental result shows the density and molar volume of gadolinium phosphate glasses increase as more Gd2O3 being added into the system. On the other hand, the density of terbium phosphate glasses increased however their molar volume has slightly decreases with an addition of Tb2O3. The decreases of both ultrasonic wave velocities in both glass series might be due to the microstructure and rigidity of glass network. The experimental result shows the longitudinal (L), shear (G) and bulk modulus (K) of both glasses decrease while the Young’s modulus increases as more Gd2O3 and Tb2O3 reside into the phosphate network. Theoretical elastic behaviour of both types of phosphate glasses have been quantitatively studied via the bond compression model (bc) and, Makishima and Mackenzie (m) model. Comparison between the experimental (e) and calculated theoretical elastic data of gadolinium and terbium phosphate glasses has also been carried-out. Analysis show that based on the bond compression model, as the mole fraction of Gd2O3 increase in the (Gd2O3)x(P2O5)1-x glass system, both ratio of Kbc/Ke and the atomic ring size slightly increase. However for (Tb2O3)x(P2O5)1-x glass system, the Kbc/Ke and atomic ring size decrease as Tb2O3 are added into the glass system. Based on Makishima and Mackenzie model, the elastic moduli for both glasses decrease due to the decreasing in packing density of glasses. For the bulk modulus, Km value slightly higher as compared to Ke and Kbc. The Poisson’s ratio shows a good agreement with the experimental and calculated values. The difference of variation pattern between experimental data and Makishima and Mackenzie model is relatively large, while the difference between bond compression model and experiment result is quite comparable. Therefore, it can be concluded that Makishima and Mackenzie model is not so appropriate to be applied for both types of phosphate glasses. Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia 2010 Conference or Workshop Item PeerReviewed text en http://psasir.upm.edu.my/id/eprint/64967/1/2010-1.pdf Ab. Aziz, Sidek and Mohamed Kamari, Halimah and Ng, Cheah Lin and Matori, Khamirul Amin and Wan Yusoff, Wan Mohamad Daud (2010) Analysis of the elastic model application for the phosphate glasses containing gadolinium and terbium. In: Regional Annual Fundamental Science Symposium 2010 (RAFSS 2010), 8-9 June 2010, Grand Season Hotel, Kuala Lumpur. (pp. 119-126).
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description A series of rare-earth phosphate glasses, (Gd2O3)x(P2O5)1-x with x= 0.222, 0.226, 0.229, 0.245 and (Tb2O3) x (P2O5) 1-x with x=0.226, 0.247, 0.263, 0.271 have been quantitatively studied. The room temperature of elastic moduli and Poisson’s ratio for each phosphate glass were estimated from the measured density and 15 MHz ultrasonic longitudinal and shear wave velocities. Previous experimental result shows the density and molar volume of gadolinium phosphate glasses increase as more Gd2O3 being added into the system. On the other hand, the density of terbium phosphate glasses increased however their molar volume has slightly decreases with an addition of Tb2O3. The decreases of both ultrasonic wave velocities in both glass series might be due to the microstructure and rigidity of glass network. The experimental result shows the longitudinal (L), shear (G) and bulk modulus (K) of both glasses decrease while the Young’s modulus increases as more Gd2O3 and Tb2O3 reside into the phosphate network. Theoretical elastic behaviour of both types of phosphate glasses have been quantitatively studied via the bond compression model (bc) and, Makishima and Mackenzie (m) model. Comparison between the experimental (e) and calculated theoretical elastic data of gadolinium and terbium phosphate glasses has also been carried-out. Analysis show that based on the bond compression model, as the mole fraction of Gd2O3 increase in the (Gd2O3)x(P2O5)1-x glass system, both ratio of Kbc/Ke and the atomic ring size slightly increase. However for (Tb2O3)x(P2O5)1-x glass system, the Kbc/Ke and atomic ring size decrease as Tb2O3 are added into the glass system. Based on Makishima and Mackenzie model, the elastic moduli for both glasses decrease due to the decreasing in packing density of glasses. For the bulk modulus, Km value slightly higher as compared to Ke and Kbc. The Poisson’s ratio shows a good agreement with the experimental and calculated values. The difference of variation pattern between experimental data and Makishima and Mackenzie model is relatively large, while the difference between bond compression model and experiment result is quite comparable. Therefore, it can be concluded that Makishima and Mackenzie model is not so appropriate to be applied for both types of phosphate glasses.
format Conference or Workshop Item
author Ab. Aziz, Sidek
Mohamed Kamari, Halimah
Ng, Cheah Lin
Matori, Khamirul Amin
Wan Yusoff, Wan Mohamad Daud
spellingShingle Ab. Aziz, Sidek
Mohamed Kamari, Halimah
Ng, Cheah Lin
Matori, Khamirul Amin
Wan Yusoff, Wan Mohamad Daud
Analysis of the elastic model application for the phosphate glasses containing gadolinium and terbium
author_facet Ab. Aziz, Sidek
Mohamed Kamari, Halimah
Ng, Cheah Lin
Matori, Khamirul Amin
Wan Yusoff, Wan Mohamad Daud
author_sort Ab. Aziz, Sidek
title Analysis of the elastic model application for the phosphate glasses containing gadolinium and terbium
title_short Analysis of the elastic model application for the phosphate glasses containing gadolinium and terbium
title_full Analysis of the elastic model application for the phosphate glasses containing gadolinium and terbium
title_fullStr Analysis of the elastic model application for the phosphate glasses containing gadolinium and terbium
title_full_unstemmed Analysis of the elastic model application for the phosphate glasses containing gadolinium and terbium
title_sort analysis of the elastic model application for the phosphate glasses containing gadolinium and terbium
publisher Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia
publishDate 2010
url http://psasir.upm.edu.my/id/eprint/64967/1/2010-1.pdf
http://psasir.upm.edu.my/id/eprint/64967/
_version_ 1643838179268100096
score 13.211869

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