Abstract
Herein, we report our density functional theory calculations for structure, electronic, thermodynamic and mechanical properties of MBiO3 (M = Rb, Cs, Tl), compounds of perovskites oxide family. Exchange-correlation potential was treated with generalized gradient and local density approximations. From available ionic data, the tolerance factors and lattice constants were calculated. The values of tolerance factors provided the stability guarantee of MBiO3 compounds in cubic phase while the obtained lattice constants are in accordance to the available data. The cubic phase stability was further confirmed from elastic constants. The electronic structure results disclosed these materials as metallic. Mechanically, all the three perovskites were found as brittle from Cauchy’s pressure, Pugh ratio and Poisson’s ratio. The thermodynamic calculations have been performed using quasi-harmonic Debye model. Thermal properties like Debye temperature, specific heat capacity and thermal expansion have been presented with the variation of temperature and pressure.
Graphical abstract
Similar content being viewed by others
References
A. Kojima, K. Teshima, Y. Shirai, T. Miyasaka, J. Am. Chem. Soc. 131, 6050 (2009)
M.M. Lee, J. Teuscher, T. Miyasaka, T.N. Murakami, H. J. Snaith, Science 338, 643 (2012)
H.-S. Kim, C.-R. Lee, J.-H. Im, K.-B. Lee, T. Moehl, A. Marchioro, S.-J. Moon, R. Humphry-Baker, J.-H. Yum, J.E. Moser, Sci. Rep. 2, 591 (2012)
J. Burschka, N. Pellet, S.-J. Moon, R. Humphry-Baker, P. Gao, M.K. Nazeeruddin, M. Grätzel, Nature 499, 316 (2013)
Jr. M. DiDomenico, S.H. Wemple, Phys. Rev. 166, 565 (1968)
S. Saha, T.P. Sinha, A. Mookerjee, Phys. Rev. B 62, 8828 (2000)
F. Jona, G. Shirane,Ferroelectric Crystals (Macmillan, New York, 1962)
B.D. Begg, E.R. Vance, J. Nowotny, J. Am. Ceram. Soc. 77, 3186 (1994)
S. Schlag , H-F. Eicke, Solid State Commun. 91, 883 (1994)
B.D. Begg, K.S. Finnie, E.R. Vance, J. Am. Ceram. Soc. 79, 2666 (1996)
H. Fang, Y. Wang, S. Shang, Z-K. Liu, Phys. Rev. B. 91, 024104 (2015)
E.A. Antoine, C. Wolverton, Sci. Data 4, 170153 (2017)
A.A. Mubarak, S. Al-Omari, J. Magn. Magn. Mater. 382, 211 (2015)
P. Ravindran, R. Vidya, A. Kjekshus, H. Fjellvåg, Phys. Rev. B. 74, 224412 (2006)
A. Petraru, J. Schubert, M. Schmid, C. Buchal, Appl. Phys. Lett. 81, 1375 (2002)
H. Zhang, J. Wook, K. Wang, G.K. Webber, Ceram. Intern. 40, 4759 (2014)
F.A. Yildirim, C. Ucurum, R.R. Schliewe, W. Bauhofer, R.M. Meixner, H. Goebel, W. Krautschneider, Appl. Phys. Lett. 90, 083501 (2007)
M. Tariq, M.A. Ali, A. Laref, G. Murtaza, Solid State Commun. 314–315, 113929 (2020)
W. Eerenstein, N.D. Mathur, J.F. Scott, Nature 447, 759 (2006)
M.E. Lines, A.M. Glass,Principles and Applications of Ferroelectrics and Related Materials (Clarendon Press, Oxford, 1977)
C. Moure, O. Pena, Prog. Solid State Chem. 43, 123 (2015)
G. Murtaza, I. Ahmad, B. Amin, A. Afaq, M. Maqbool, J. Maqssod et al., Opt. Mater. 33, 553 (2011)
O. Muller, R. Roy,The major ternary structural families (Springer, Berlin, 1974)
J.G. Bednorz, K.A. Müller, Rev. Mod. Phys. 60, 585 (1988)
S.-W. Cheong, M. Mostovoy, Nat. Mater. 6, 13 (2007)
S. Jin, T.H. Tiefel, M. McCormack, R.A. Fastnacht, R. Ramesh, L.H. Chen, Science 264, 413 (1994)
J.C. Boivin, G. Mairesse, Chem. Mater. 10, 2870 (1998)
G. Trimarchi, X. Zhang, A.J. Freeman, A. Zunger, Phys. Rev. B 90, 161111 (2014)
H. Jin, S.H. Rhim, J. Im, A.J. Freeman, Sci. Rep. 3, 1651 (2013)
A. Abbad, W. Benstaali, H.A. Bentounes, S. Bentata, Y. Benmalem, Solid State Commun. 228, 36 (2016)
S.A. Dar, V. Srivastava, U.K. Sakalle, J. Magn. Magn. Mater. 484, 298 (2019)
S.A. Dar, R. Sharma, V. Srivastava, U.K. Sakalle, RSC Adv. 9, 9522 (2019)
S.A. Dar, V. Srivastava, U.K. Sakalle, Comput. Condens. Matter 18, e00351 (2019)
L. Ju, S.A. Dar, J. Electron. Mater. 48, 4886 (2019)
S.A. Dar, R. Sharma, A.Kr. Mishra, J. Mol. Graph. Model. 90, 120 (2019)
S. Zhao, Z. Wei, S.A. Dar, Z. Naturforsch. 74, 827 (2019)
P.V. Balachandran, A.A. Emery, J.E. Gubernatis, T. Lookman, C. Wolverton, A. Zunger, Phys. Rev. Mater. 2, 043802 (2018)
K. Schwarz, P. Blaha, G.K.H. Madsen, Comput. Phys. Commun. 147, 71 (2002)
P. Blaha, K. Schwarz, G.K.H. Madsen, D. Kuasnicke, J. Luitz,Introduction to WIEN2K, An Augmented plane wane plus local orbitals program for calculating crystal properties (Vienna university of technology, Vienna, Austria, 2001)
S.A. Dar, V. Srivastava, U.K. Sakalle, J. Elec. Mater. 46, 6870 (2017)
A. Otero-de-la-Roza, V. Luaña, Phys. Rev. B 84, 184103 (2011)
M.A. Blanco, A.M. Pendas, E.J. Francisco, J. Mol. Struct. Theor. Chem. 268, 245 (1996)
Z. Wu, R.E. Cohen, Phys. Rev. B 73, 235116 (2006)
L. Hedin, B.I. Lundqvist, J. Phys. C 4, 2064 (1971)
J.P. Perdew, K. Burke, M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996)
P.E. Blochl, O. Jepsen, O.K. Andersen, Phys. Rev. B 49, 16223 (1994)
T. Charpin,A Package for Calculating elastic tensors of cubic phases using WIEN (Laboratory of Geometrix, Paris, France, 2001)
F. Birch, Phys. Rev. 71, 809 (1947)
R. Ubic, J. Am. Ceram. Soc. 90, 3326 (2007)
S.A. Dar, V. Srivastava, U.K. Sakalle, V. Parey, J. Elec. Mater. 47, 3809 (2018)
R.D. Shannon, Acta Crystallogr. Sect. A 32, 751 (1976)
J.B. Goodenogh, Rep. Prog. Phys. 67, 1915 (2004)
L.E. Russel, D.L. Harrison, N.H. Brett, J. Nucl. Mater. 2, 310 (1960)
N. Xu, H. Zhao, X. Zhou, W. Wei, X. Lu, W. Ding, F. Li, Int. J. Hydrogen Energy 35, 7295 (2010)
M. Born, Proc. Cam. Philos. Soc. 36, 160e172 (1940)
M. Born, K. Huang,Dynamical Theory of crystal Lattices (Oxford University Press, London, 1956)
R. Hill, Proc. Phys. Soc. London 65, 349 (1952)
A. Reuss, Z. Angew, Mater. Phys. 9, 49 (1929)
S.F. Pugh, Philos. Mag. 45, 823 (1954)
S.A. Dar, V. Srivastava, U.K. Sakalle, V. Parey, Eur. Phys. J. Plus 131, 64 (2018)
I.N. Frantsevich, F.F. Voronov, S.A. Bokuta,Elastic constants and Elastic Moduli of metals and Insulators Handbook, edited by I.N. Frantsevich (Naukova Dumka, Kiev, 1982) p. 60
D.G. Pettifor, Mater. Sci. Technol. 8, 345 (1992)
J. Haines, J.M. Leger, G. Bocquillon, Annu. Rev. Mater. Sci. 31, 1 (2001)
T. Vergaard, J.W. Hirtchinson, J. Am. Ceram. Soc. 71, 157 (1988)
Z. Wan, Y. Yu, H.F. Zhang, T. Gao, X.J. Chen, C.J. Xiao, Eur. Phys. J. B 85, 181 (2012)
A.T. Petit, P.L. Dulong, Ann. Chim. Phys. 10, 395 (1819)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
The EPJ Publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Dar, S.A., Ali, M.A. & Srivastava, V. Investigation on bismuth-based oxide perovskites MBiO3 (M = Rb, Cs, Tl) for structural, electronic, mechanical and thermal properties. Eur. Phys. J. B 93, 102 (2020). https://doi.org/10.1140/epjb/e2020-10073-x
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2020-10073-x