Abstract
In the present work, we present a theoretical study of the physical properties of ternary CdXP2 (X: Si, Ge, and Sn) chalcopyrite materials through the full-potential linearized augmented plane wave method. The generalized gradient approximations of Perdew, Burke, and Ernzerhof have been used to handle the exchange–correlation potential. Moreover, the electronic structure calculations are further improved through the modified Becke Johnson potential. Our calculations for the structural parameters of the studied compounds are found well-matching with the literature. Investigations of the electronic properties of the considered compounds have been executed through the calculation of the band structure. We observe that our compounds are semiconductors characterized by a direct energy gap between the Γ-Γ symmetry points. The optical constants, including the dielectric functions, were calculated for energy up to 30 eV. Using the GIBBS program, which is based on the quasi-harmonic model of Debye, we have investigated the thermodynamic behavior of the considered chalcopyrite under pressure and temperature effects. The variation of the volume, bulk modulus, and temperature-dependent Debye temperature and heat capacities for different pressures are estimated.
Similar content being viewed by others
Data availability statement
Data sharing not applicable to this article as no datasets were generated or analysed during the current study.
References
I H Choi and P Y Yu Phys. Rev. B 55 9642 (1996)
K Yoodee, J C Woolley and V Sa Phys. Rev. B 30 5904 (1984)
J L Shay, E Buehler and J H Wernick Phys. Rev. B 2 4104 (1970)
J L Shay, E Buehler and J H Wernick Phys. Rev. B 3 2004 (1971)
J L Shay and J H Wernick Ternary Chalcopyrite Semiconductors: Growth, Electronic Properties and Applications (Oxford: Pergamon Press) (1974)
A S Verma Philos. Mag. 89 183 (2009)
P Schunemann Laser Focus World 35 85 (1999)
P.G. Schunemann, K. T. Zawilski, T. M. Pollak, V. Petrov, and D. E. Zelmon, CdSiP2: a new nonlinear optical crystal for 1 and 1.5 –micron -pumped, mid-IR generation Proceedings of the Advanced Solid-State Photonics, 1–4 February, Denver, CO, USA, (2009)
K T Zawilski, P G Schunemann, T C Pollak, D E Zelmon, N C Fernelius and F K Hopkins J. Cryst. Growth 312 1127 (2010)
Landolt-Börnstein, Condensed Matter, Ternary Compounds, Organic Semiconductors, New Series, Group III, (eds.) O. Madelung, U.Rössler, and M. Schulz,Vol. 41E (Springer-Verlag, Berlin, (2000)
A S Borshchevskii, N A Goryunova, F P Kesamanly and D N Nasledov Phys. Status Solidi 21 9 (1967)
N Itoh, T Fujinaga and T Nakau Jap. J. Appl. Phys. 17 951 (1978)
L Fan, S F Zhu, B J Zhao, B J Chen, Z Y He, H Yang and G Y Liu J. Cryst. Growth 338 228 (2012)
O Chalus, P G Schunemann, K T Zawilski, J Biegert and M Ebrahim-Zadeh Opt. Lett. 35 4142 (2010)
R Gautam, P Singh, S Sharma, S Kumari and A S Verma Mater. Sci. Semicond. Process 40 727 (2015)
Z He, B Zhao, S Zhu, B Chen, H Hou, Y Yu and L Xie Comput. Mater. Sci. 72 26 (2013)
H J Hou, H J Zhu, J Xu, S R Zhang and L H Xie Braz. J. Phys. 46 628 (2016)
R Gautam, P Singh, S Sharma, S Kumari and A S Verma Superlattices Microstruct. 85 859 (2015)
Y. Zhong, H. Mei, D. He, Xue Du, N. Cheng, J. Phys. Chem. Solids 134 157 (2019)
F Chiker, B Abbar, A Tadjer, S Bresson, B Khelifa and C Mathieu Physica B 349 181 (2004)
D.J. Singh, Plane Waves, Pseudopotential and the LAPW Method, Kluwer Academic Publishers, Boston, Dortrecht, London, (1994)
P Blaha, K Schwarz, P Sorantin and S B Trickey Comput. Phys. Commun. 59 399 (1990)
P Hohenberg and W Kohn Phys. Rev. B 136 864 (1964)
P. Blaha, K. Schwarz, G.K.H. Madsen, D. Kvasnicka, J. Luitz, WIEN2K, An Augmented Plane Wave Plus Local Orbitals Program for Calculating Crystal Properties, Vienna University of Technology, Vienna, Austria,(2008)
J P Perdew, K Burke and M Ernzerhof Phys. Rev. Lett. 77 3865 (1996)
F Tran and P Blaha Phys. Rev. Lett. 102 226401 (2009)
A D Becke and E R Johnson J. Chem. Phys. 124 221101 (2006)
M A Blanco, E Francisco and V Luaña Comput. Phys. Commun. 158 57 (2004)
F D Murnaghan Proc. Natl. Acad. Sci. U.S.A. 30 244 (1947)
V L Shaposhnikov, A V Krivosheeva and V E Borisenko Phys. Rev. B 85 205201 (2012)
F Chiker, B Abbar, A Tadjer, H Aourag and B Khelifa Mater. Sci. Eng. B 98 81 (2003)
A Continenza, S Massidda, A J Freeman, T M de Pascale, F Meloni and M Serra Phys. Rev. B 46 10070 (1992)
A S Verma and S R Bhardwaj Phys. Scr. 79 15302 (2009)
C Kittel Physique de l’état solide Cours et problèmes,7ème édition (Paris: Dunod) (1998)
S Bagci and B G Yalcin J. Phys. D: Appl. Phys. 48 475304 (2015)
Sanjay D. Gupta, Sanjeev K. Gupta, Prafulla K. Jha and N. N. Ovsyuk, J. Raman Spectrosc. 44 926 (2013)
Prafulla K Jha and Sankar P Sanyal Phys. C 271 6 (1996)
Mina Talati and Prafulla K Jha Phys. Rev. B 74 134406 (2006)
A S Verma Phys. Status Solidi B 246 192 (2009)
Y Kulvitit, S Rolland, R Granger and C M Pelletier Revue de Physique Appliquée 15 1501 (1980)
J E Jaffe and A Zunger Phys. Rev. B 29 1882 (1984)
J L Shay and H M Kasper Phys. Rev. Lett. 29 1162 (1972)
R de L. Kronig, J. Opt. Soc. Am. Rev. Sci. Instrum. 12 547 (1926)
M. Fox, Optical Properties of Solids p.6 (New York: Oxford University Press, 2001)
S Hufner et al. Phys. Rev. B 50 2128 (1994)
H Z Tributsch Naturforschung A. 32A 972 (1977)
A S Verma and D Sharma Phys. Scr. 76 22 (2007)
R R Reddy et al. Opt. Mater. 31 209 (2008)
P K Jha Phys. Rev. B 72 214502 (2005)
Z-J. Liu, X-W Sun, C-R. Zhang, J-B Hu, T. Song, J-H. Qi, Chin. J. Chem. Phys. 24 703 (2011)
P Debye Ann. Phys. 344 789 (1912)
A T Petit and P L Dulong Ann. Chim. Phys. 10 395 (1819)
Acknowledgements
The author Bin-Omran acknowledges Researchers Supporting Project number (RSP-2023R82), King Saud University, Riyadh, Saudi Arabia. The work of the author (Bakhtiar Ul Haq) from the Jeju National University was supported by the Brain Pool program (No. 2022H1D3A2A02063677) and Basic Science Research Program (No. 2020R1I1A3A04038112) through the National Research Foundation of Korea (NRF).
Funding
This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.
Author information
Authors and Affiliations
Contributions
All authors contributed to the study conception and design. Data collection and analysis were performed by [NT], [SB], [MG], [SG], and [ZC]. The first draft of the manuscript was written by [HM] [BUH], and all authors commented on previous versions of the manuscript. RK and BO Supervising, Reviewing and Editing. 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.
Ethics approval and consent to participate
None.
Consent for publication
All authors approve the ethics.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
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
Taguida, N., Benlamari, S., Meradji, H. et al. First-principles investigations of physical properties of CdXP2 (X = Si, Ge, and Sn) ternary chalcopyrite. Indian J Phys 97, 3887–3900 (2023). https://doi.org/10.1007/s12648-023-02725-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12648-023-02725-9