Abstract
Single-phase multiferroic bismuth ferrite samples doped with gadolinium with compositional formulae Bi1–xGdxFeO3 (x = 0, 0.05, 0.10, 0.15, & 0.20) have been prepared by the modified solid-state reaction technique. The well-known pulse transmission method was used to measure ultrasonic velocities at four different frequencies. The elastic moduli were calculated using the velocity values at four different frequencies. The elastic moduli were also corrected to their zero porosity using Hasselman and Fulrath model. The observed variation of elastic moduli with varying concentration of Gd and at different frequencies has been explained. Finally, as these materials are having the shape memory applications, their recoverable strain values were also calculated and the results are compared with those available in the literature.
Similar content being viewed by others
Availability of data materials
All data generated or analysed during this study are included in this published article and its supplementary information files.
References
N.A. Hill, J. Phys. chem. B 104, 6694 (2000)
W. Eerenstein, N.D. Mathur, J.F. Scott, Nature 442, 759 (2006)
G.A. Smolenskii, I.E. Chupis, Sov. Phys. Usp. 25, 475 (1982)
M.I. Danilkevitch, I.I. Makoed, Phys. Status Solidi. 222, 541 (2000)
J.R. Teague, R. Gerson, W.J. James, Sol. St. Commun. 8, 1073 (1970)
P. Fischer, M. Polomska, I. Sosnowska, M. Szymanski, J. Phys. C13, 1931 (1980)
I. Sosnowska, T. Peterlin-Neumeier, E. Steichele, J. Phys. C15, 4835 (1982)
N. Min Zhong, E. Pavan Kumar, Z.J. Sagar, P. Hu Yemin, V. Reddy, Mat. Chem. Phy. 173, 126 (2016)
S. Pragya Pandit, P..K..G. Satapathy, Phys. B 406, 2669 (2011)
Z.V. Gabbasova, M.D. Kuz’min, A.K. Zvezdin, I.S. Dubenko, V.A. Murashov, D.N. Rakov, I.B. Krynetsky, Phys. Lett. A 158, 491 (1991)
Du. Yi, Z.X. Cheng, M. Shahbazi, E.W. Collings, S.X. Dou, X.L. Wang, J Alloys Comp. 490, 637 (2010)
G. Lalitha, D. Das, D. Bahadur, P. Venugopal Reddy, J. Alloys Comp. 464, 6 (2008)
Z. Xing, X. Zhu, J. Zhu, Z. Liu, T. Al-Kassab, J. Am. Ceram. Soc. 97, 2323 (2014)
Z. Jian, N. Pavan, K.H. Min, Z.P. Venugopal, Y. Reddy, J. Supercond. Nov. Magn. 28, 2627 (2015)
S. Rani, S. Sanghi, A. Agarwal, R. Kumar, O. Singh, Appl. Phys. A 128, 576 (2022)
K. Bhattacharya, R.V. Kohn, J. Phys. IV France 05, C8-261 (1995)
Y.V. Ramana, P. Venugopal Reddy, Acoust. Lett. 13, 83 (1989)
K. Elle Sagar, V. Kumar, P. Venugopal Reddy, Phase Transit. 94, 317 (2021)
P. Elle Sagar, Venugopal Reddy, Appl. Phys. A 128, 417 (2022)
K. Elle Sagar, V. Kumar, P. Venugopal Reddy, Phys. Stat. Solidi B 258, 2100022 (2021)
J.J.U. Buch, G. Lalitha, T.K. Pathak, N.H. Vasoya, V.K. Lakhani, P.V. Reddy, K. Ravi, K.B. Modi, J. Phys. D Appl. Phys. 41, 025406 (2008)
G. Lalitha, P. Venugopal Reddy, J. Mag. Mag Mat. 320, 152 (2008)
G. Lalitha, P. Venugopal Reddy, J. Phys.: Condens. Mat. 21, 056003 (2009)
D.P.H. Hasselman, R.M. Fulrath, J. Am. Ceram. Soc. 47, 52 (1964)
M. Kim, S. Jang, S. Choi, J. Yang, J. Kim, D. Choi, Micromachines 12, 1107 (2021)
A. Sato, E. Chishima, K. Soma, T. Mori, Acta Metall. 30, 1177 (1982)
T. Masuya, N. Yoneyama, S. Kumai, A. Sato, Mater. Sci. Forum 327–328, 267 (2000)
J. Zhang, X. Ke, G. Gou, J. Seidel, PuYu. Bin Xiang, W.-I. Liang, A.M. Minor, Y.-H. Chu, G. Van Tendeloo, X. Ren, R. Ramesh, Nat. Comm. 4, 2768 (2013)
Z. Ding, J. Zhu, X. Zhang, D. Liu, Q. Qi, Y. Zhang, D. Cong, J. Phys. D: Appl. Phys. 50, 095303 (2017)
Acknowledgements
The authors thank DRDO (Defense Research Development Organization), Govt. of India for funding this work underproject No. ERIP/ER/1204665/M/01/1459.
Funding
The authors thank DRDO (Defense Research Development Organization), Govt. of India for funding this work under project No. ERIP/ER/1204665/M/01/1459.
Author information
Authors and Affiliations
Contributions
All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by ES, and PVR. The first draft of the manuscript was written by ES and all authors read and approved the final manuscript.
Corresponding author
Ethics declarations
Conflict of interest
The authors have no relevant financial or non-financial interests to disclose.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary Information
Below is the link to the electronic supplementary material.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Sagar, E., Reddy, P.V. Recoverable strain studies of gadolinium-doped multiferroic BiFeO3 by ultrasonic velocity measurements. Appl. Phys. A 129, 45 (2023). https://doi.org/10.1007/s00339-022-06331-0
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00339-022-06331-0