Investigating the Structural, Elastic, Electrical, and Thermodynamic Characteristics of NbCoSn and VRhSn Half-Heusler Compounds Using First-Principles Calculations

Authors

Keywords:

Half-Heusler, Band gap, Bulk modulus, Semiconductor, Phonons, Thermodynamic

Abstract

In this work, we used first-principles calculations utilising density functional theory (DFT) to examine the structural, elastic, electrical, and thermodynamic features of NbCoSn and VRhSn HH compounds. It was discovered that the calculated lattice constants of the NbCoSn and VRhSn compounds agreed with both the existing theoretical and experimental data. Because the compounds' elastic constants meet the Born-Huang requirements for cubic system stability, they are mechanically stable. VRhSn and NbCoSn are dynamically stable because there are no imaginary phonons. Because NbCoSn has a higher shear modulus and Vicker's hardness than VRhSn HH, it is harder. The presence of band gaps in both compounds indicates that they are semiconductors. VRhSn has a smaller band gap than the NbCoSn HH combounds. Additionally, thermodynamic properties are calculated and investigated in detail. The results show that NbCoSn and VRhSn HH compounds are promising thermoelectric materials; however, VRhSn HH compound stability might be improved by doping and alloying.

Dimensions

Aigbekaen, E.E and Ighrakpata, F.C. (2025): A DFT Approach on the Impact of Hydrostatic Pressure on the Structural, Mechanical, Lattice dynamics, and Optical Characteristics of the Cubic Perovskite RbTaO3. Nigerian Journal of Theoretical and Environmental Physics (NJTEP), Volume 3(1): 37-45.

Aigbekaen, E.E., and Ighrakpata, F.C. (2022): The First Principal Study of the Structural, Electronic, Elastic, Vibrational And Thermal Properties Of Cscl Type-Ercu Alloy. AAN Journal of Sciences, Engineering & Technology Vol. 1, Issue 1, pp. 1-11.

Aigbekaen, E.E., Okei, J., and Ighrakpata, F.C. (2023): First-Principles Study: Some Physical Properties of Half-Heusler Alloys XCrBi (X=Hf, Ti, and Zr). Journal of Science and Technology Research 5(4), 118-127.

Ameri M, Bennar F, Amel S, Ameri I, Al-Douri Y, Varshney D. Structural, elastic, thermodynamic and electronic properties of LuX (X= N, Bi and Sb) compounds: first principles calculations. Phase Transit 2016; 89(12):1236–52.

Aouimer S, Ameri M, Bensaid D, Moulay NE, Bouyakoub AZ, Boufadi FZ, et al. The elastic, electronic and thermodynamic properties of a new Cd based full heusler compounds–A theoretical investigation using DFT based FP-LMTO approach. Acta Phys Pol A 2019;136(1).

Caballero-Calero O, Ares JR, Martın-Gonzalez, M. Environmentally friendly thermoelectric materials: high performance from inorganic components with low toxicity and abundance in the earth. Adv. Sustain. Syst. 2021;5(11):2100095.

Chami N, Arbouche O, Chibani S, DrissKhodja FZ, Amara K, Ameri M, et al. Computational prediction of structural, electronic, elastic, and thermoelectric properties of FeVX (X= As, P) half-Heusler compounds. J Electron Mater 2020;49 (8):4916–22..

Clarke DR. Materials selection guidelines for low thermal conductivity thermal barrier coatings. Surf Coat Technol 2003;163:67–74.

Dulong, P.L. and Petit, A.T., 1819. Recherches sur quelques points importans de la theorie de la chaleur.

Ferluccio DA, Smith RI, Buckman J, Bos JWG. Impact of Nb vacancies and p-type doping of the NbCoSn–NbCoSb half-Heuslerthermoelectrics. PCCP 2018; 20(6): 39793987.

Giannozzi P, Andreussi O, Brumme T, OanaBunau M, Nardelli B, Calandra M, et al. Advanced capabilities for materials modelling with Quantum ESPRESSO. J Phys Condens Matter 2017;29(46):465901..

Greaves GN, Greer AL, Lakes RS, Rouxel T. Poisson’s ratio and modern materials. Nat Mater 2011;10(11):823–37.

Gruhn T. Comparative ab initio study of half-Heusler compounds for optoelectronic applications. Phys Rev B 2010;82(12):125210.

Gzyl AS, Oliynyk AO, Mar A. Half-heusler structures with full-heusler counterparts: machine-learning predictions and experimental validation. Cryst Growth Des 2020; 20(10):6469–77.

Hill R . The elastic behaviour of a crystalline aggregate. Proc Phys Soc London, Sect A 1952;65:349.

http : //qeforge.qe forge.org/gf/project/thermo w/

Ighrakpata, F.C. and Aigbekaen, E.E (2025): The Impact of Pressure on the Structural, Electronic, and Mechanical Properties of TiPdSn: An Ab Initio Study. Nigerian Journal of Theoretical and Environmental Physics (NJTEP), Volume 3(1): 52-59.

Iyorzor,B.E., Babalola, M.I., and Aigbekaen,E.E.(2018): Ab initio Calculation of the Structural, Mechanical and Thermodynamic Properties of Beryllium Sulphides, BeS, J.Appl.Sci.Environ.Manage.,Vol.22(1), 41-46.

Jamal M, Asadabadi SJ, Ahmad I, Aliabad HR. Elastic constants of cubic crystals. Comput Mater Sci 2014; 95: 592–9.

Job, W.W., John, W.M., and George, S.M (2022): First-principles calculations to investigate structural, elastic, electronic and thermodynamic properties of NbCoSn and VRhSn Half-Heusler compounds. Results in Physics 43, 106132.

Khelfaoui F, Ameri M, Bensaid D, Ameri I, Al-Douri Y. Structural, elastic, thermodynamic, electronic, and magnetic investigations of full-Heusler compound Ag2CeAl: FP-LAPW method. J Supercond Nov Magn 2018; 31(10):3183–92.

Kittel, C., 2021. Introduction to solid state physics Eighth edition.

Li Y, Gao Y, Xiao B, Min T, Fan Z, Ma S, et al. Theoretical study on the stability, elasticity, hardness and electronic structures of W-C binary compounds. J Alloy Compd 2010;502(1):28–37.

Mentefa A, Boufadi FZ, Ameri M, Gaid F, Bellagoun L, Odeh AA, et al. First-principles calculations to investigate structural, electronic, elastic, magnetic, and thermodynamic properties of full-heusler Rh2MnZ (Z= Zr, Hf). J Supercond Nov Magn 2021; 34(1):269–83.

Monkhorst HJ, Pack JD. Special points for Brillouinzone integrations. Phys Rev B 1976;13(12):5188.

Mori T, Priya S. Materials for energy harvesting: At the forefront of a new wave. MRS Bull 2018;43(3):176–80.

Moussali, A., Amina, M., Fassi, B., Ameri, I., Ameri, M., AlDouri Y. First-principles calculations to investigate structural and thermodynamic properties of Ni2LaZ (Z= As, Sb and Bi) Heusler alloys. Indian J Phys 2020; 94 (11):1733–47.

Murnaghan, F., The compressibility of media under extreme pressures. Proc Natl AcadSci 1944;30 (9): 244–7.

Okunzuwa, I. S., and Aigbekaen, E.E. (2021): Structural Optimization, Electronic Band Structure,Mechanical and Thermodynamics Properties of Fe3Al. Physical Science International (JournalArticle no.PSIJ.67620) 25(2): 1-11.

Okunzuwa, S., and Aigbekaen, E. (2020): Structural Optimization and the Study of the Electronic, Mechanical, Thermodynamic and Phonon Properties of Mg2Sn from First Principle. Physical Science International (JournalArticle no.PSIJ.67620) 24(12): 60-71.

Palumbo, M., Dal, C. A., Lattice dynamics and thermophysical properties of hcp Os and Ru from the quasi-harmonic approximation (2017). . J Phys Condens Matter; 29(39):395401.

Perdew, J., Wang Y. (1992). Accurate and simple analytic representation of the electron-gas correlation energy. Phys Rev B;45(23):13244.

Saim, A., Belkharroubi, F., Boufadi, F., Ameri, I., Blaha, L., Tebboune, A., et al., (2022). Investigation of the structural, elastic, electronic, and optical properties of half-heuslerCaMgZ (Z= C, Si, Ge, Sn, Pb) compounds. J Electron Mater; 51 (7): 4014–28.

Togo, A., Tanaka, I., (2015). First principles phonon calculations in materials science. ScriptaMaterialia; 108: 1-5. 62.

Xi L, Yang J, Wu L, Yang J, Zhang W. Band engineering and rational design of high-performance thermoelectric materials by first-principles. J Materiomics 2016;2(2): 114–30.

Published

2026-07-27

How to Cite

Aigbekaen, E. E., & Ighrakpata, F. C. (2026). Investigating the Structural, Elastic, Electrical, and Thermodynamic Characteristics of NbCoSn and VRhSn Half-Heusler Compounds Using First-Principles Calculations. Nigerian Journal of Physics, 35(4), 171-178. https://doi.org/10.62292/njp.v35i4.2026.629

How to Cite

Aigbekaen, E. E., & Ighrakpata, F. C. (2026). Investigating the Structural, Elastic, Electrical, and Thermodynamic Characteristics of NbCoSn and VRhSn Half-Heusler Compounds Using First-Principles Calculations. Nigerian Journal of Physics, 35(4), 171-178. https://doi.org/10.62292/njp.v35i4.2026.629