Abstract
We report on the investigation of the structural, electronic, and optical properties of binary compounds (MgO and MgSe) and their ternary \(\hbox {MgO}_{1-{x}}\hbox {Se}_{{x}}\) (\(x=0.25, 0.5, 0.75\)) alloys within the density functional theory based on the full-potential linearized augmented plane wave method as implemented in the WIEN2k code. We have used the revised Perdew–Burke–Ernzerhof generalized gradient approximation (GGA-PBEsol) to calculate the structural properties and analyze the effect of the Se composition on the lattice constant and the bulk modulus of \(\hbox {MgO}_{1-{x}}\hbox {Se}_{{x}}\). The calculated electronic properties by employing the GGA-PBEsol and TB-mBJ approaches show that \(\hbox {MgO}_{1-{x}}\hbox {Se}_{{x}}\) alloys have a direct band gap \(\Gamma \)–\(\Gamma \) for \(x = 0, 0.25, 0.5\) and 0.75, suggesting the possibility of their use in the long wavelength optoelectronic applications. The optical properties such as the real and imaginary parts of the dielectric function, the refractive index, and the reflectivity of \(\hbox {MgO}_{1-{x}}\hbox {Se}_{{x}}\) are computed by using the accurate TB-mBJ potential. The wide band gaps larger than 3.1 eV mean that \(\hbox {MgO}_{1-{x}}\hbox {Se}_{{x}}\) alloys can be used in the applications of the ultraviolet region of the spectrum. Our data for all studied bowing parameters of \(\hbox {MgO}_{1-{x}}\hbox {Se}_{x}\) may serve as references for future experimental studies.
Similar content being viewed by others
References
Haase, M., Qiu, J., DePuydt, J., Cheng, H.: Blue–green laser diodes. Appl. Phys. Lett. 59(11), 1272–1274 (1991)
Han, J., Gunshor, R.: II–VI Blue/green light emitters: device physics and epitaxial growth. In: Gunshor, R.L., Nurmikko, A.V. (eds.) Semiconductor and Semi-metals. Academic Press, Cambridge (1997)
Broch, E.: Präzisionsbestimmungen der Gitterkonstanten der Verbindungen MgO, MgSy, MgSe, MnO und MnSe. Z. Phys. Chem. 127(1), 446–454 (1927)
Li, T., Luo, H., Greene, R.G., Ruoff, A.L., Trail, S.S., DiSalvo Jr., F.J.: High pressure phase of MgTe: stable structure at STP. Phys. Rev. Lett. 74(26), 5232 (1995)
Wang, W., Guan, D., Yang, G., Yang, G., Zhou, Y., Lu, H., Chen, Z.: Nonlinear optical properties of thin iron films grown on MgO (100) by pulsed laser deposition. Thin Solid Films 471(1–2), 86–90 (2005)
Avdeev, V., Zhidomirov, G.: Electronic structure and optical properties of the surface F-centers in MgO: a theoretical analysis by DFT approach. J. Struct. Chem. 44(6), 918–926 (2003)
Gu, F., Li, C.Z., Jiang, H.B.: Combustion synthesis and photoluminescence of MgO: Eu3+nanocrystals with Li+addition. J. Cryst. Growth 289(1), 400–404 (2006)
Ho, I.-C., Xu, Y., Mackenzie, J.D.: Electrical and optical properties of MgO thin film prepared by sol–gel technique. J. Sol-Gel Sci. Technol. 9(3), 295–301 (1997)
Gueddim, A., Zerroug, S., Bouarissa, N., Fakroun, N.: Study of the elastic properties and wave velocities of rocksalt \(\text{ Mg }_{1- {\rm x}}\text{ Fe }_{{\rm x}}\text{ O }\): ab initio calculations. Chin. J. Phys. 55(4), 1423–1431 (2017)
Meskine, S., Boukortt, A., Hayn, R., Zaoui, A.: Transition between high-spin and low-spin states in Mn-doped MgO. Phys. Stat. Solidi (b) 251(4), 845–849 (2014)
Djelal, A., Chaibi, K., Tari, N., Zitouni, K., Kadri, A.: Ab-initio DFT-FP-LAPW/TB-mBJ/LDA-GGA investigation of structural and electronic properties of \(\text{ Mg }_{{\rm x}}\text{ Zn }_{1- {\rm x}}\text{ O }\) alloys in Würtzite, Rocksalt and Zinc-Blende phases. Superlattice Microst. 109, 81–98 (2017)
Sajid, A., Alay-E-Abbas, S., Afaq, A., Shaukat, A.: Structural, electronic and optical properties of \(\text{ MgS }_{{\rm x}}\text{ Se }_{1-x}\), \(\text{ MgS }_{{\rm x}}{\rm Te}_{1-{\rm x}}\) and \(\text{ MgSe }_{{\rm x}} \text{ Te }_{1-x}\) \((0\le \text{ x }\le 1)\) alloys from first principles. Int. J. Mod. Phys. B 26(17), 1250098 (2012)
Hassan, F.E.H., Bleybel, A., Hijazi, A., Alaeddine, A., Beydoun, B., Zoaeter, M.: Structural and electronic properties of \(\text{ Zn }_{1- {\rm x}}\text{ Mg }_{{\rm x}}\text{ S }_{{\rm y}}\text{ Se }_{1- {\rm y}}\) alloys. Mater. Lett. 61(4–5), 1178–1182 (2007)
Srivastava, G., Martins, J.L., Zunger, A.: Atomic structure and ordering in semiconductor alloys. Phys. Rev. B 31(4), 2561 (1985)
Kohn, W., Sham, L.J.: Self-consistent equations including exchange and correlation effects. Phys. Rev. 140(4A), A1133 (1965)
Blaha, P., Schwarz, K., Madsen, G., Kvasnicka, D., Luitz, J.: wien2 k. An augmented plane wave+local orbitals program for calculating crystal properties, 2nd edn. Vienna University of Technology, Vienna (2001)
Perdew, J.P., Burke, K., Ernzerhof, M.: Generalized gradient approximation made simple. Phys. Rev. Lett. 77(18), 3865 (1996)
Tran, F., Blaha, P.: Accurate band gaps of semiconductors and insulators with a semilocal exchange-correlation potential. Phys. Rev. Lett. 102(22), 226401 (2009)
De La Pierre, M., Orlando, R., Maschio, L., Doll, K., Ugliengo, P., Dovesi, R.: Performance of six functionals (LDA, PBE, PBESOL, B3LYP, PBE0, and WC1LYP) in the simulation of vibrational and dielectric properties of crystalline compounds. The case of forsterite Mg\(_2\)SiO\(_4\). J. Comput. Chem. 32(9), 1775–1784 (2011)
Labidi, M., Labidi, S., Ghemid, S., Meradji, H., Hassan, F.E.H.: Structural, electronic, thermodynamic and optical properties of alkaline earth oxides MgO, SrO and their alloys. Phys. Scripta 82(4), 045605 (2010)
Tsuchiya, T., Kawamura, K.: Systematics of elasticity: ab initio study in B1-type alkaline earth oxides. J. Chem. Phys. 114(22), 10086–10093 (2001)
Jaffe, J.E., Snyder, J.A., Lin, Z., Hess, A.C.: LDA and GGA calculations for high-pressure phase transitions in ZnO and MgO. Phys. Rev. B 62(3), 1660 (2000)
Amrani, B., Ahmed, R., Hassan, F.E.H.: Structural, electronic and thermodynamic properties of wide band gap \(\text{ Mg }_{{\rm x}}\text{ Zn }_{1- {\rm x}}\text{ O }\) alloy. Comput. Mater. Sci. 40(1), 66–72 (2007)
Mao, H., Bell, P.: Equations of state of MgO and \(\varepsilon \) Fe under static pressure conditions. J. Geophys. Res. Sol. Earth 84(B9), 4533–4536 (1979)
Lee, S.-G., Chang, K.: First-principles study of the structural properties of MgS-, MgSe-, ZnS-, and ZnSe-based superlattices. Phys. Rev. B 52(3), 1918 (1995)
Ruoff, A.L., Li, T., Ho, A.C., Pai, M.-F., Luo, H., Greene, R.G., Narayana, C., Molstad, J.C., Trail, S.S., DiSalvo Jr., F.J.: Sevenfold coordinated MgSe: experimental internal atom position determination to 146 GPa, diffraction studies to 202 GPa, and theoretical studies to 500 GPa. Phys. Rev. Lett. 81(13), 2723 (1998)
Van Camp, P., Van Doren, V., Martins, J.: High-pressure phases of magnesium selenide and magnesium telluride. Phys. Rev. B 55(2), 775 (1997)
Fei, Y.: Effects of temperature and composition on the bulk modulus of (Mg, Fe) O. Am. Mineral. 84(3), 272–276 (1999)
Speziale, S., Zha, C.S., Duffy, T.S., Hemley, R.J., Mao, H.: Quasi-hydrostatic compression of magnesium oxide to 52 GPa: implications for the pressure-volume-temperature equation of state. J. Geophys. Res. Sol. Earth 106(B1), 515–528 (2001)
Donnay, J., Ondik, H.: Crystal Data (Inorganic Compounds ), vol. 2. US Dept of Commerce, New York (1973)
Okuyama, H., Kishita, Y., Ishibashi, A.: Quaternary alloy Zn \(1-x\) Mg x S y Se \(1-y\). Phys. Rev. B 57(4), 2257 (1998)
Litz, M.T., Watanabe, K., Korn, M., Ress, H., Lunz, U., Ossau, W., Waag, A., Landwehr, G., Walter, T., Neubauer, B.: Epitaxy of \(\text{ Zn }_{1- x}\text{ Mg }_{{\rm x}}\text{ Se }_{{\rm y}}\text{ Te }_{1- {\rm y}}\) on (100) InAs. J. Cryst. Growth 159(1–4), 54–57 (1996)
Whited, R., Flaten, C.J., Walker, W.: Exciton thermoreflectance of MgO and CaO. Solid State Commun. 13(11), 1903–1905 (1973)
Chang, K., Cohen, M.L.: High-pressure behavior of MgO: structural and electronic properties. Phys. Rev. B 30(8), 4774 (1984)
Stepanyuk, V., Szász, A., Grigorenko, B., Farberovich, O., Katsnelson, A.: Electronic structure and optical properties of Mgo band structure calculation and cluster model. Phys. Status Solidi (b) 155(1), 179–184 (1989)
Baltache, H., Khenata, R., Sahnoun, M., Driz, M., Abbar, B., Bouhafs, B.: Full potential calculation of structural, electronic and elastic properties of alkaline earth oxides MgO, CaO and SrO. Phys. B Condens. Matter 344(1–4), 334–342 (2004)
Kalpana, G., Palanivel, B., Thomas, R.M., Rajagopalan, M.: Electronic and structural properties of MgS and MgSe. Phys. B Condens. Matter 222(1–3), 223–228 (1996)
Hassan, F.E.H., Amrani, B.: Structural, electronic and thermodynamic properties of magnesium chalcogenide ternary alloys. J. Phys. Condens. Matter 19(38), 386234 (2007)
Rehman, G., Shafiq, M., Ahmad, R., Jalali-Asadabadi, S., Maqbool, M., Khan, I., Rahnamaye-Aliabad, H., Ahmad, I.: Electronic band structures of the highly desirable III–V semiconductors: TB-mBJ DFT studies. J. Electron. Mater. 45(7), 3314–3323 (2016)
Maqbool, M., Amin, B., Ahmad, I.: Band gap investigations and the effect of the In and Al concentration on the optical properties of \(\text{ In } _{{\rm x}} \text{ Al }_{1- {\rm x}}\text{ N }\). JOSA B 26(11), 2181–2184 (2009)
Maqbool, M., Kordesch, M.E., Kayani, A.: Enhanced cathodoluminescence from an amorphous AlN: holmium phosphor by co-doped Gd+3 for optical devices applications. JOSA B 26(5), 998–1001 (2009)
Babu, K.E., Murali, N., Babu, K.V., Shibeshi, P.T., Veeraiah, V.: Structural, elastic, electronic, and optical properties of cubic perovskite \(\text{ CsCaCl }_{3}\) compound: an ab initio study. Acta Phys. Polon. A 125(5), 1179–1185 (2014)
Ehrenreich, H., Cohen, M.H.: Self-consistent field approach to the many-electron problem. Phys. Rev. 115(4), 786 (1959)
Delin, A., Ravindran, P., Eriksson, O., Wills, J.: Full-potential optical calculations of lead chalcogenides. Int. J. Quantum Chem. 69(3), 349–358 (1998)
Bougherara, K., Litimein, F., Khenata, R., Uçgun, E., Ocak, H., Uğur, Ş., Uğur, G., Reshak, A.H., Soyalp, F., Omran, S.B.: Structural, elastic, electronic and optical properties of \(\text{ Cu }_{3}\text{ TMSe }_{4}\) (TM=V, Nb and Ta) sulvanite compounds via first-principles calculations. Sci. Adv. Mater. 5(1), 97–106 (2013)
Saha, S., Sinha, T., Mookerjee, A.: Electronic structure, chemical bonding, and optical properties of paraelectric \(\text{ BaTiO }_{3}\). Phys. Rev. B 62(13), 8828 (2000)
Penn, D.R.: Wave-number-dependent dielectric function of semiconductors. Phys. Rev. 128(5), 2093 (1962)
Saha, S., Sinha, T., Mookerjee, A.: Structural and optical properties of paraelectric \(\text{ SrTiO }_{3}\). J. Phys. Condens. Matter 12(14), 3325 (2000)
Hadjab, M., Berrah, S., Abid, H., Ziane, M.I., Bennacer, H., Reshak, A.H.: First-principles investigation of the optical properties for rocksalt mixed metal oxide \(\text{ Mg }_{{\rm x}}\text{ Zn }_{1- {\rm x}}\text{ O }\). Mater. Chem. Phys. 182, 182–189 (2016)
Ali, R., Mohammad, S., Ullah, H., Khan, S., Uddin, H., Khan, M., Khan, N.: The structural, electronic and optical response of IIA–VIA compounds through the modified Becke–Johnson potential. Phys. B Condens. Matter 410, 93–98 (2013)
Murtaza, G., Sadique, G., Aliabad, H.R., Khalid, M., Naeem, S., Afaq, A., Amin, B., Ahmad, I.: First principle study of cubic perovskites: \(\text{ AgTF }_{3}\) (T=Mg, Zn). Phys. B Condens. Matter 406(24), 4584–4589 (2011)
Mohamed, B., Allel, M., Bendouma, D., Miloud, B., Baghdad, M.: Improved electronic structure and optical performance of \(\text{ Bi }\_{2}\text{ Te }\_{3-{\rm x}}\text{ Se }\_{{\rm x}}\) from first-principle calculations within TB-mBJ Exchange Potential. Mat. Res. 21(1), e20170553 (2017). https://doi.org/10.1590/1980-5373-mr-2017-0553
Author information
Authors and Affiliations
Corresponding authors
Rights and permissions
About this article
Cite this article
Khalfallah, B., Khodja, F.D., Doumi, B. et al. Theoretical study of structural, electronic and optical properties of novel ternary alloys \(\hbox {MgO}_{1-{x}}{\hbox {Se}}_{{x}}\) (\(x =\) 0.25, 0.50 and 0.75). J Comput Electron 17, 899–908 (2018). https://doi.org/10.1007/s10825-018-1188-7
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10825-018-1188-7