Abstract
Theoretical insights of the ultrasonic relaxation process in PbO–WO3–TeO2 glasses were investigated according to a model related to the propagation of ultrasonic waves in active two-well potential. The energy transfer of the ultrasonic waves either longitudinal or transverse to the glass network can create two-well potential based on the oxygen atoms displacements. The parameters of the model such as the mutual potential energy, the loss-centers, the prolongation or shrinkage of the double-well system, deformation potential were affected with the concentrations of the PbO. The number of loss centers was correlated to the compositional dependence of the elastic moduli on PbO content. The results showed that the degree of prolongation or shrinkage of the double-well system is affected with the concentration of PbO.
Similar content being viewed by others
References
C. Sriwunkum, T. Nutaro, Study on gamma-ray shielding properties of lead tellurite glass systems using PHITS. J. Phys Conf. Ser. 1380, 012138 (2019)
R. El-Mallawany, M.I. Sayyed, M.G. Dong, Comparative shielding properties of some tellurite glasses: part 2. J. Non-Cryst. Solids 474, 16–23 (2017)
M.I. Sayyed, R. El-Mallawany, Shielding properties of (100–x) TeO2 - (x) MoO3 glasses. Mater. Chem. Phys. 201, 50–56 (2017)
R.N. Hampton, W. Hong, G.A. Saunders, R.A. El-Mallawany, The electrical conductivity of pure and binary TeO2 glasses. J. Non-Cryst. Solids 94, 307–314 (1987)
K. Keshavamurthy, B. Eraiah, Effect of γ-ray irradiation on optical properties of erbium doped bismuth-tellurite glasses. AIP Conf. Proc. 1953, 090004 (2018)
Mohd Azam and Vineet Kumar Rai, Effect of the addition of Pb3O4 and TiO2 on the optical properties of Er3+/Yb3+:TeO2–WO3 glasses. ACS Omega 4(15), 16280–16291 (2019)
J. Rajagukguk, J. Kaewkhao, M. Djamal, R. Hidayat, Y. Ruangtaweep, Structural and optical characteristics of Eu3+ ions in sodium–lead–zinc–lithium borate glass system, J. Mol. Struct. 1121, 180–187 (2016)
P. Pascuta, L. Pop, R. Stefan, L. Olar, G. Borodi, L. Calin Bolundut, E. Culea, The impact of Ag and Cu nanoparticles on optical and magnetic properties of new Tb2O3–PbO–TeO2 glass ceramic system, J. Alloy. Compd 799, 442–449 (2019)
S. Hassan Alazoumi, S. Abdul Aziz, R. El-Mallawany, U. Sa'ad Aliyu, H. Mohamed Kamari, M. Mohd Zaid, K. Amin Matori, A. Ushah, Optical properties of zinc lead tellurite glasses, Res. Phys. 9, 1371–1376 (2018)
B.C. Jamalaiah, Intense yellow luminescence from Dy3+-doped TeO2–WO3–GeO2 glasses: Structural and optical characterization. J. Phys-Condens. Mat. 30, 335701 (2018)
B.C. Jamalaiah, G. Viswanadha, TeO2–WO3–GeO2 -NdF3 glasses for 1.06 μm fiber lasers: an optical analysis. Optic. Mater. 90, 99–107 (2019)
Ch.B Annapurna Devi, Sk. Mahamuda, K. Swapna, M. Venkateswarlu, A. Srinivasa Rao, G. Vijaya Prakash, Pr3+ ions doped single alkali and mixed alkali fluoro tungsten tellurite glasses for visible red luminescent devices, J. Non-Cryst. Solids 498 (2018) 345–351
R. El-Mallawany, Structural and vibrational investigations of thermal properties of tellurite glasses. J. Mater. Res. 7(1), 224–228 (1992)
N. Elkhoshkhany, R. Abbas, R. El-Mallawany, A.J. Fraih, Optical properties of quaternary TeO2–ZnO–Nb2O5–Gd2O3 glasses. Ceram. Inter. 40, 14477–14481 (2014)
R. El-Mallawany, Quantitative analysis of elastic moduli of tellurite glasses. J. Mater. Res. 5, 2218–2222 (1990)
S. Rau, C. Enss, S. Hunklinger, P. Neu, A. Wurger, Acoustic properties of oxide glasses at low temperatures. Phys. Rev. B 52, 7179–7194 (1995)
J. Hertling, S. Baessler, S. Rau, G. Kasper, S. Hunklinger, Internal friction and hypersonic velocity in vitreous germania under high pressure. J. Non-Cryst. Solids 226, 129–137 (1998)
G. Carini, G. Carini, E. Cosio, G.D. Angelo, G. Tripodo, A. Bartolotta, Acoustic properties of borate glasses. J. Non-Cryst. Solids 345&346, 473–477 (2004)
M.A. Sidkey, R.A. El Mallawany, A.A. Abousehly, Y.B. Saddeek, Relaxation of longitudinal ultrasonic waves in some tellurite glasses. Mater. Chem. Phys. 74, 222–229 (2002)
K.S. Gilroy, W.A. Philips, An asymmetric double-well potential model for structural relaxation processes in amorphous materials. Philos. Mag. B 43, 735 (1981)
B. Bridge, N.D. Patel, Ultrasonic relaxation studies of the vitreous system Mo–P–O in the temperature range 4 to 300 K. J. Mater. Sci. 21, 3783–3800 (1986)
B. Bridge, A. Higazy, Prediction of low-temperature ultrasonic relaxation phenomena in oxide glasses from elastic properties. J. Mater. Sci. Lett. 6, 1007–1012 (1987)
B. Bridge, N. Patel, Correlations between low-temperature ultrasonic relaxation parameters and other physical properties for the oxide glasses. J. Mater. Sci. Lett. 5, 1255–1257 (1986)
B. Bridge, A. Higazy, Ultrasonic relaxation in CoO–P2O5 glasses at high temperatures. J. Mater. Sci. 23, 438–450 (1988)
H. Afifi, S. Marzouk, N. Abd el Aal, Ultrasonic characterization of heavy metal TeO2–WO3–PbO glasses below room temperature. Phys. B 390, 65–70 (2007)
H. Afifi, S. Marzouk, Ultrasonic velocity and elastic moduli of heavy metal tellurite glasses. Mater. Chem. Phys. 80, 517–523 (2003)
S. Hunklinger, W.A. Arnold, in Physical Acoustics, vol. 12, eds. By W.P. Mason, R.N. Thurston (Academic Press, New York, 1976)
M.A. Sidkey, R. El-Mallawany, R.I. Nakhla, A. Abd El-Moneim, Ultrasonic attenuation at low temperature of TeO2–V2O5 glasses. Phys. Stat. Sol. 159, 397–404 (1997)
R. El-Mallawany, M. Sidkey, H. Afifi, Relaxation phenomena in tellurite glasses. J. Appl. Phys. 107, 053523–053528 (2010)
Y.B. Saddeek, R. El-Mallawany, H. Afifi, Mechanical relaxation of some tellurovanadate glasses. J. Non-Cryst. Solids 417, 28–33 (2015)
M.S. Gaafar, I.S. Mahmoud, Acoustic relaxation of some lithium borate tungstate glasses at low temperatures. J. Alloy. Compd. 657, 506–514 (2016)
G.E. El-Falaky, M.S. Gaafar, N.S. Abd El-Aal, Ultrasonic relaxation in zinc-borate glasses. Curr. Appl. Phys. 12, 589–596 (2012)
J. Fabian, P.B. Allen, Anharmonic decay of vibrational states in amorphous silicon. Phys. Rev. Lett. 82, 1478–1481 (1999)
P. Benassi, S. Caponi, R. Eramo, A. Fontana, A. Giugni, M. Nardone, M. Sampoli, G. Viliani, Sound attenuation in a unexplored frequency region: Brillouin ultraviolet light scattering measurements in v−SiO2. Phys. Rev. B 71, 172201 (2005)
G. Carini, M. Cutroni, M. Federico, C. Galli, Anelastic effects in (AgI)x(Ag2O·B2O3)1–x superionic glasses. Solid State Commun. 44, 1427–1430 (1982)
Acknowledgements
The authors extended their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through the research group program under grant number R.G.P 2/33/40.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Saddeek, Y.B., Aly, K., Mossad Ali, A. et al. Theoretical insights of ultrasonic relaxation in PbW-tellurite glasses. Appl. Phys. A 126, 370 (2020). https://doi.org/10.1007/s00339-020-03560-z
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00339-020-03560-z