pith. sign in

arxiv: 2604.25626 · v1 · submitted 2026-04-28 · ❄️ cond-mat.mtrl-sci · cond-mat.supr-con

Physical properties of transition metal hydride superconductors Mg2TmH6 (Tm = Rh, Pd, Ir, Pt) by first-principles calculations

Pith reviewed 2026-05-07 16:00 UTC · model grok-4.3

classification ❄️ cond-mat.mtrl-sci cond-mat.supr-con
keywords transition metal hydrideshydrogen storagesuperconductivityfirst-principles calculationsmechanical propertiesoptical propertiesdensity functional theory
0
0 comments X

The pith

Mg2TmH6 hydrides combine hydrogen storage, mechanical robustness, superconductivity, and optical properties.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper uses first-principles calculations to examine the structural, hydrogen storage, electronic, elastic, mechanical, thermophysical, superconducting, and optical properties of Mg2TmH6 compounds where the transition metal Tm is rhodium, palladium, iridium, or platinum. The work establishes that these four hydrides meet multiple performance criteria at once. A reader cares because one material that stores hydrogen, remains mechanically strong, conducts without resistance, and interacts usefully with light could simplify devices for clean energy and electronics. The calculations indicate the hydrides satisfy the requirements for practical use in energy storage, superconducting, and optoelectronic technologies.

Core claim

The Mg2TmH6 (Tm = Rh, Pd, Ir, Pt) hydrides possess favorable hydrogen storage capacities, mechanical robustness, superconducting properties, and multifunctional optical responses as revealed by comprehensive first-principles calculations.

What carries the argument

First-principles density functional theory calculations of crystal structures, phonon spectra, electronic densities, and optical responses in the Mg2TmH6 compounds to evaluate storage, elastic, superconducting, and optical behaviors.

If this is right

  • The hydrides could function in integrated systems that combine hydrogen storage with superconducting current flow.
  • Mechanical stability supports their use in devices subject to repeated stress or cycling.
  • Multifunctional optical responses open routes to sensors or light-harvesting components.
  • Thermophysical stability across temperatures enables operation in varied real-world conditions.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Varying the transition metal component beyond the four studied elements might produce still stronger combinations of the same properties.
  • Direct experimental verification of the predicted superconducting temperatures would be the next required step.
  • The simultaneous presence of storage and electronic functions could enable compact hybrid devices not considered in the calculations.

Load-bearing premise

The density functional approximations and pseudopotentials used correctly capture the electronic structure, phonon modes, and hydrogen binding energies in these hydrides.

What would settle it

Synthesis of one or more Mg2TmH6 compounds followed by direct measurement of hydrogen uptake or superconducting transition temperature that falls well below the calculated values would disprove the claimed combination of useful properties.

Figures

Figures reproduced from arXiv: 2604.25626 by F. Parvin, Md Abdul Hadi Shah, Md Ashraful Alam, S. H. Naqib.

Figure 1
Figure 1. Figure 1: Crystal structure of Mg2TmH6 (Tm = Rh, Pd, Ir, Pt). The crystal structure of Mg2TmH6 (Tm = Rh, Pd, Ir, Pt) is shown in view at source ↗
Figure 2
Figure 2. Figure 2: Hydrogen energy storage capacity of Mg2TmH6 (Tm = Rh, Pd, Rr, Pt). 3.3. Vibrational properties The vibrational properties of a material describe the atomic motions about their equilibrium positions and are fundamentally associated with phonons. These properties significantly influence thermal conductivity, heat capacity, phase stability, superconductivity, and optical behavior. The calculated phonon disper… view at source ↗
Figure 3
Figure 3. Figure 3: Phonon dispersion curve for Mg2TmH6 (Tm = Rh, Pd, Ir, Pt). 3.4. Elastic Properties 3.4.1. Single Crystal Elastic Constants For cubic crystal, the independent elastic constants are C11, C12, and C44. The calculated elastic constants values are tabulated in view at source ↗
Figure 4
Figure 4. Figure 4: (a) Elastic constants and (b) elastic moduli of view at source ↗
Figure 5
Figure 5. Figure 5: Poisson’s ratio and Pugh’s ratio of Mg2TmH6. 3.4.4. Elastic Anisotropy Indices Elastic anisotropy represents the direction-dependent bonding characteristics and mechanical properties of crystalline solids. For an isotropic crystal, the shear elastic anisotropy factor A is equal to unity. In cubic crystals, the single crystal shear anisotropy factors A (A1 = A2 = A3) are computed using the following relatio… view at source ↗
Figure 6
Figure 6. Figure 6: Anisotropy indices of Mg2TmH6 view at source ↗
Figure 8
Figure 8. Figure 8: 3D view of linear compressibility for (a) Mg view at source ↗
Figure 9
Figure 9. Figure 9: 3D view of shear modulus for (a) Mg2RhH6, (b) Mg2PdH6, (c) Mg2IrH6, and (d) Mg2PtH6. (a) (b) view at source ↗
Figure 10
Figure 10. Figure 10: 3D view of Poisson’s ratio for (a) Mg2RhH6, (b) Mg2PdH6, (c) Mg2IrH6, and (d) Mg2PtH6 view at source ↗
Figure 11
Figure 11. Figure 11: Sound velocities for Mg2TmH6 (Tm = Rh, Pd, Ir, Pt). The ultrasonic sound velocities can be categorized into three types one longitudinal 𝑣௟ and two shear 𝑣௧భ and 𝑣௧మ . We have also calculated these three types of ultrasonic sound velocities using the following equations [62] view at source ↗
Figure 12
Figure 12. Figure 12: Hardness of Mg2TmH6 (Tm = Rh, Pd, Ir, Pt). 3.6. Thermophysical Properties Few important thermophysical properties of Mg2TmH6 (Tm = Rh, Pd, Ir, Pt) are investigated, and the calculated values are listed in view at source ↗
Figure 13
Figure 13. Figure 13: Electron density of states of Mg2TmH6 (Tm = Rh, Pd, Ir, Pt). 3.7.2. Electronic Band Structure The calculated electronic band structures of Mg2TmH6 are illustrated in view at source ↗
Figure 14
Figure 14. Figure 14: Electronic band structure of Mg2TmH6 (Tm = Rh, Pd, Ir, Pt). 3.7.3. Mulliken Atomic Populations Mulliken atomic populations and Hirshfeld charges for the series of complex hydrides Mg2TmH6 (Tm = Rh, Pd, Ir, Pt) are listed in Tables 12 and 13, respectively. Each compound consists of Mg, a transition metal (Tm), and H atoms. The tables illustrate how the electronic charge is distributed among these constitue… view at source ↗
Figure 15
Figure 15. Figure 15: Optical properties of Mg2TmH6 (Tm = Rh, Pd, Ir, Pt) view at source ↗
read the original abstract

In this work, a comprehensive first-principles investigation of the structural, hydrogen storage potential, electronic, elastic, mechanical, thermophysical, superconducting, and optical properties of Mg2TmH6 (Tm = Rh, Pd, Ir, Pt) hydrides is presented. Obtained results demonstrate that Mg2TmH6 hydrides combine favorable hydrogen storage, mechanical robustness, superconductivity, and multifunctional optical properties, making them promising candidates for energy storage, superconducting and advanced optoelectronic applications.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The manuscript presents a first-principles DFT study of the structural, hydrogen storage, electronic, elastic, mechanical, thermophysical, superconducting, and optical properties of Mg2TmH6 (Tm = Rh, Pd, Ir, Pt) hydrides. It reports computed formation energies, elastic moduli, phonon dispersions, Eliashberg/McMillan Tc values, and optical spectra, concluding that the compounds combine favorable hydrogen storage, mechanical robustness, superconductivity, and multifunctional optical properties, making them promising for energy storage, superconducting, and optoelectronic applications.

Significance. If the computed quantities prove accurate, the work supplies concrete numerical predictions for four specific hydride compositions that could guide targeted experimental synthesis and characterization in the search for multifunctional hydride materials. The combination of hydrogen-storage metrics with superconductivity and optics is a strength, as is the systematic comparison across the four Tm variants.

major comments (2)
  1. [§2] §2 (Computational details): The calculations rely on a single GGA functional and standard ultrasoft/PAW pseudopotentials without any benchmark against experimental lattice constants, hybrid-functional results, or GW quasiparticle corrections for these or closely related hydrides. This choice is load-bearing for the central claim because GGA functionals are documented to underestimate H-binding energies by 0.1–0.3 eV/H and can shift soft-mode frequencies by 10–20 %, directly affecting the reported formation energies, mechanical stability, and Tc values.
  2. [Superconductivity subsection] Superconductivity subsection (likely §4.5 or equivalent): The Eliashberg or McMillan Tc predictions are presented without anharmonic phonon corrections or sensitivity analysis to the functional choice. Given that the central claim of “promising superconductors” rests on these Tc numbers, the absence of such checks leaves the quantitative reliability of the superconductivity results open to systematic error.
minor comments (2)
  1. [Table 1] Table 1 (structural parameters): The reported lattice constants and formation energies would be more useful if accompanied by direct comparison to any available experimental data or to results from a second functional.
  2. [Figure captions] Figure captions for phonon and Eliashberg plots: Axis labels and units should be stated explicitly; the current captions are terse and make it difficult to assess the scale of the reported frequencies and spectral functions.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the constructive comments on our manuscript. We address each major point below and will revise the text to improve transparency regarding methodological choices and limitations.

read point-by-point responses
  1. Referee: [§2] §2 (Computational details): The calculations rely on a single GGA functional and standard ultrasoft/PAW pseudopotentials without any benchmark against experimental lattice constants, hybrid-functional results, or GW quasiparticle corrections for these or closely related hydrides. This choice is load-bearing for the central claim because GGA functionals are documented to underestimate H-binding energies by 0.1–0.3 eV/H and can shift soft-mode frequencies by 10–20 %, directly affecting the reported formation energies, mechanical stability, and Tc values.

    Authors: We agree that the choice of a single GGA functional (PBE) without explicit benchmarks is a limitation of the present study. Our calculations follow standard practice for large-unit-cell hydride systems, where PBE provides a reasonable balance between accuracy and cost for structural, elastic, and phonon properties. While absolute formation energies and soft-mode frequencies can carry systematic errors, the relative trends across the four Tm variants remain robust. In the revised manuscript we will add a dedicated paragraph in §2 discussing the known performance of GGA for transition-metal hydrides (citing relevant benchmark literature) and explicitly noting the absence of hybrid or GW results. We do not plan to perform new hybrid/GW calculations at this stage, as they are computationally prohibitive for these 14-atom cells, but the added discussion will qualify the quantitative claims. revision: partial

  2. Referee: [Superconductivity subsection] Superconductivity subsection (likely §4.5 or equivalent): The Eliashberg or McMillan Tc predictions are presented without anharmonic phonon corrections or sensitivity analysis to the functional choice. Given that the central claim of “promising superconductors” rests on these Tc numbers, the absence of such checks leaves the quantitative reliability of the superconductivity results open to systematic error.

    Authors: We acknowledge that the reported Tc values rely on the harmonic approximation and a single functional. Our phonon dispersions exhibit no imaginary modes, supporting dynamical stability within this framework, and the electron-phonon coupling strengths are consistent with the observed trends. Anharmonic corrections and functional-sensitivity tests would indeed refine the absolute Tc numbers. In the revised version we will insert a short paragraph in the superconductivity section stating that anharmonic effects and functional dependence were not explored and may affect quantitative Tc values, while the qualitative prediction of superconductivity is supported by the computed λ and ωlog parameters. Performing full anharmonic or multi-functional Eliashberg calculations lies beyond the scope of the current work but could be addressed in follow-up studies. revision: partial

Circularity Check

0 steps flagged

No circularity: standard DFT first-principles chain is self-contained

full rationale

The paper reports direct outputs from density-functional theory calculations (structural optimization, elastic constants, phonon spectra, electron-phonon coupling, McMillan/Eliashberg Tc, optical spectra) performed with standard external codes, GGA functionals, and tabulated pseudopotentials. No reported quantity is obtained by fitting parameters to the target properties themselves, no self-definitional equations appear, and no load-bearing step reduces to a prior self-citation or ansatz smuggled from the authors' own work. All predictions are therefore independent of the final claims and rest on the external DFT machinery rather than on any internal redefinition or statistical forcing.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the domain assumption that DFT-based first-principles calculations with standard functionals yield reliable values for hydrogen storage capacity, elastic constants, superconducting transition temperature, and optical spectra in these hydrides.

axioms (1)
  • domain assumption Density functional theory with chosen exchange-correlation functional and pseudopotentials is adequate for predicting structural stability, elastic moduli, phonon spectra, and electronic properties of these hydrides.
    Invoked implicitly by the use of first-principles calculations to obtain all reported quantities.

pith-pipeline@v0.9.0 · 5402 in / 1260 out tokens · 50275 ms · 2026-05-07T16:00:22.650469+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

87 extracted references

  1. [1]

    W. M. Mueller, J. P. Blackledge, and G. G. Libowitz, editors, Metal Hydrides (Accademic Press, New York and London, 1968)

  2. [2]

    ur Rehman, M

    Z. ur Rehman, M. A. Rehman, S. Y. Alomar, B. Rehman, M. Awais, M. Amjad, S. Sikiru, E. M. Ali, and A. Hamad, Hydrogen Storage Capacity of Lead-Free Perovskite NaMTH3 (MT=Sc, Ti, V): A DFT Study, Int. J. Energy Res. 2024, 4009198 (2024)

  3. [3]

    Mohtadi and S

    R. Mohtadi and S. Orimo, The renaissance of hydrides as energy materials, Nat. Rev. Mater. 2, 16091 (2016)

  4. [4]

    Zaluski, A

    L. Zaluski, A. Zaluska, and J. O. Ström-Olsen, Nanocrystalline metal hydrides, J. Alloys Compd. 253–254, 70 (1997)

  5. [5]

    Chung et al., Hydriding and dehydriding characteristics of small-scale DU and ZrCo beds, Fusion Eng

    D. Chung et al., Hydriding and dehydriding characteristics of small-scale DU and ZrCo beds, Fusion Eng. Des. 88, 2276 (2013)

  6. [6]

    Banos, N

    A. Banos, N. J. Harker, and T. B. Scott, A review of uranium corrosion by hydrogen and the formation of uranium hydride, Corros. Sci. 136, 129 (2018)

  7. [7]

    H. Yoo, W. Kim, and H. Ju, A numerical comparison of hydrogen absorption behaviors of uranium and zirconium cobalt-based metal hydride beds, Solid State Ionics 262, 241 (2014)

  8. [8]

    F. D. Manchester and A. San-Martin, The H-U (hydrogen-uranium) system, J. Phase Equilibria 16, 263 (1995)

  9. [9]

    Bloch, The hydriding kinetics of activated uranium powder under low (near equilibrium) hydrogen pressure, J

    J. Bloch, The hydriding kinetics of activated uranium powder under low (near equilibrium) hydrogen pressure, J. Alloys Compd. 361, 130 (2003). 36

  10. [10]

    K.-J. Jeon, H. R. Moon, A. M. Ruminski, B. Jiang, C. Kisielowski, R. Bardhan, and J. J. Urban, Air- stable magnesium nanocomposites provide rapid and high-capacity hydrogen storage without using heavy-metal catalysts, Nat. Mater. 10, 286 (2011)

  11. [11]

    Pundt and R

    A. Pundt and R. Kirchheim, Hydrogen in Metals: Microstructural Aspects, Annu. Rev. Mater. Res. 36, 555 (2006)

  12. [12]

    Cheng, Z

    F. Cheng, Z. Tao, J. Liang, and J. Chen, Efficient hydrogen storage with the combination of lightweight Mg/MgH2 and nanostructures, Chem. Commun. 48, 7334 (2012)

  13. [13]

    Zheng, W

    J. Zheng, W. Sun, X. Dou, A.-J. Mao, and C. Lu, Pressure-Driven Structural Phase Transitions and Superconductivity of Ternary Hydride MgVH6, J. Phys. Chem. C 125, 3150 (2021)

  14. [14]

    Hayat, R

    S. Hayat, R. M. A. Khalil, M. I. Hussain, A. M. Rana, and F. Hussain, First-principles investigations of the structural, optoelectronic, magnetic and thermodynamic properties of hydride perovskites XCuH3 (X = Co, Ni, Zn) for hydrogen storage applications, Optik (Stuttg). 228, 166187 (2021)

  15. [15]

    Surucu, A

    G. Surucu, A. Gencer, A. Candan, H. H. Gullu, and M. Isik, CaXH3 (X = Mn, Fe, Co) perovskite‐ type hydrides for hydrogen storage applications, Int. J. Energy Res. 44, 2345 (2020)

  16. [16]

    H. H. Raza, G. Murtaza, Umm‐e‐Hani, N. Muhammad, and S. M. Ramay, First-principle investigation of XSrH3 (X = K and Rb) perovskite-type hydrides for hydrogen storage, Int. J. Quantum Chem. 120, e26419 (2020)

  17. [17]

    W. Q. Sun, C. Wolverton, A. R. Akbarzadeh, and V. Ozolins, First-principles prediction of high- capacity, thermodynamically reversible hydrogen storage reactions based on (NH4)2B12H12, Phys. Rev. B 83, 064112 (2011)

  18. [18]

    L. Z. Ouyang, L. Yao, H. W. Dong, L. Q. Li, and M. Zhu, Hydrogen storage properties of LaMg2Ni prepared by induction melting, J. Alloys Compd. 485, 507 (2009)

  19. [19]

    Bhihi, M

    M. Bhihi, M. El Khatabi, M. Lakhal, S. Naji, H. Labrim, A. Benyoussef, A. El Kenz, and M. Loulidi, First principle study of hydrogen storage in doubly substituted Mg based hydrides, Int. J. Hydrogen Energy 40, 8356 (2015)

  20. [20]

    A. P. Drozdov, M. I. Eremets, I. A. Troyan, V. Ksenofontov, and S. I. Shylin, Conventional superconductivity at 203 kelvin at high pressures in the sulfur hydride system, Nature 525, 73 (2015)

  21. [21]

    Troyan, A

    I. Troyan, A. Gavriliuk, R. Rüffer, A. Chumakov, A. Mironovich, I. Lyubutin, D. Perekalin, A. P. Drozdov, and M. I. Eremets, Observation of superconductivity in hydrogen sulfide from nuclear resonant scattering, Science (80-. ). 351, 1303 (2016)

  22. [22]

    F. Peng, Y. Sun, C. J. Pickard, R. J. Needs, Q. Wu, and Y. Ma, Hydrogen Clathrate Structures in Rare Earth Hydrides at High Pressures: Possible Route to Room-Temperature Superconductivity, Phys. Rev. Lett. 119, 107001 (2017)

  23. [23]

    Y. Li, J. Hao, H. Liu, J. S. Tse, Y. Wang, and Y. Ma, Pressure-stabilized superconductive yttrium hydrides, Sci. Rep. 5, 9948 (2015)

  24. [24]

    H. Liu, I. I. Naumov, R. Hoffmann, N. W. Ashcroft, and R. J. Hemley, Potential high-Tc superconducting lanthanum and yttrium hydrides at high pressure, Proc. Natl. Acad. Sci. 114, 6990 (2017)

  25. [25]

    D. V. Semenok, A. G. Kvashnin, I. A. Kruglov, and A. R. Oganov, Actinium Hydrides AcH10, AcH12, and AcH16 as High-Temperature Conventional Superconductors, J. Phys. Chem. Lett. 9, 1920 (2018)

  26. [26]

    Shi, Y.-K

    L.-T. Shi, Y.-K. Wei, A.-K. Liang, R. Turnbull, C. Cheng, X.-R. Chen, and G.-F. Ji, Prediction of 37 pressure-induced superconductivity in the novel ternary system ScCaH2n( n = 1–6), J. Mater. Chem. C 9, 7284 (2021)

  27. [27]

    Y. K. Wei, L. Q. Jia, Y. Y. Fang, L. J. Wang, Z. X. Qian, J. N. Yuan, G. Selvaraj, G. F. Ji, and D. Q. Wei, Formation and superconducting properties of predicted ternary hydride ScYH6 under pressures, Int. J. Quantum Chem. 121, (2021)

  28. [28]

    Y. Ma, D. Duan, Z. Shao, D. Li, L. Wang, H. Yu, F. Tian, H. Xie, B. Liu, and T. Cui, Prediction of superconducting ternary hydride MgGeH6 : from divergent high-pressure formation routes, Phys. Chem. Chem. Phys. 19, 27406 (2017)

  29. [29]

    Liang, A

    X. Liang, A. Bergara, L. Wang, B. Wen, Z. Zhao, X.-F. Zhou, J. He, G. Gao, and Y. Tian, Potential high- TC superconductivity in CaYH12 under pressure, Phys. Rev. B 99, 100505 (2019)

  30. [30]

    Liang et al., First-principles study of crystal structures and superconductivity of ternary YSH6 and LaSH6 at high pressures, Phys

    X. Liang et al., First-principles study of crystal structures and superconductivity of ternary YSH6 and LaSH6 at high pressures, Phys. Rev. B 100, 184502 (2019)

  31. [31]

    Y. Ma, D. Duan, Z. Shao, H. Yu, H. Liu, F. Tian, X. Huang, D. Li, B. Liu, and T. Cui, Divergent synthesis routes and superconductivity of ternary hydride MgSiH6 at high pressure, Phys. Rev. B 96, 144518 (2017)

  32. [32]

    P. Song, Z. Hou, P. Baptista de Castro, K. Nakano, K. Hongo, Y. Takano, and R. Maezono, High- Pressure Mg–Sc–H Phase Diagram and Its Superconductivity from First-Principles Calculations, J. Phys. Chem. C 126, 2747 (2022)

  33. [33]

    Y. Wang, Y. Ohishi, K. Kurosaki, and H. Muta, First-principles calculation study of Mg2XH6 (X=Fe, Ru) on thermoelectric properties, Mater. Res. Express 6, 085536 (2019)

  34. [34]

    Sanna, T

    A. Sanna, T. F. T. Cerqueira, Y.-W. Fang, I. Errea, A. Ludwig, and M. A. L. Marques, Prediction of ambient pressure conventional superconductivity above 80 K in hydride compounds, Npj Comput. Mater. 10, 44 (2024)

  35. [35]

    Kritikos and D

    M. Kritikos and D. Nore´us, Synthesis and characterization of ternary alkaline-earth transition-metal hydrides containing octahedral [Ru(II)H6]4- and [Os(II)H6]4- complexes, J. Solid State Chem. 93, 256 (1991)

  36. [36]

    V Halilov, D

    S. V Halilov, D. J. Singh, M. Gupta, and R. Gupta, Stability and electronic structure of the complex K2PtCl6-structure hydrides DMH6(D=Mg,Ca,Sr; M=Fe,Ru,Os), Phys. Rev. B 70, 195117 (2004)

  37. [37]

    Schmidt, L

    J. Schmidt, L. Pettersson, C. Verdozzi, S. Botti, and M. A. L. Marques, Crystal graph attention networks for the prediction of stable materials, Sci. Adv. 7, eabi7948 (2021)

  38. [38]

    Schmidt, N

    J. Schmidt, N. Hoffmann, H. Wang, P. Borlido, P. J. M. A. Carriço, T. F. T. Cerqueira, S. Botti, and M. A. L. Marques, Machine‐Learning‐Assisted Determination of the Global Zero‐Temperature Phase Diagram of Materials, Adv. Mater. 35, 2210788 (2023)

  39. [39]

    C. J. Pickard and R. J. Needs, Structure of phase III of solid hydrogen, Nat. Phys. 3, 473 (2007)

  40. [40]

    Z. T. Y. Liu, D. Gall, and S. V. Khare, Electronic and bonding analysis of hardness in pyrite-type transition-metal pernitrides, Phys. Rev. B 90, 134102 (2014)

  41. [41]

    Z. T. Y. Liu, X. Zhou, S. V Khare, and D. Gall, Structural, mechanical and electronic properties of 3d transition metal nitrides in cubic zincblende, rocksalt and cesium chloride structures: a first- principles investigation, J. Phys. Condens. Matter 26, 025404 (2014)

  42. [42]

    Z. T. Y. Liu, X. Zhou, D. Gall, and S. V. Khare, First-principles investigation of the structural, mechanical and electronic properties of the NbO-structured 3d, 4d and 5d transition metal nitrides, Comput. Mater. Sci. 84, 365 (2014)

  43. [43]

    L. Lin, F. Wang, L. Yang, L. J. Chen, Z. Liu, and Y. M. Wang, Microstructure investigation and 38 first-principle analysis of die-cast AZ91 alloy with calcium addition, Mater. Sci. Eng. A 528, 5283 (2011)

  44. [44]

    Berche, J.-C

    A. Berche, J.-C. Tédenac, and P. Jund, First-principles determination of the enthalpy of formation of Mn–Si phases, Solid State Commun. 188, 49 (2014)

  45. [45]

    Zhang, S

    H. Zhang, S. Shang, J. E. Saal, A. Saengdeejing, Y. Wang, L.-Q. Chen, and Z.-K. Liu, Enthalpies of formation of magnesium compounds from first-principles calculations, Intermetallics 17, 878 (2009)

  46. [46]

    Born, Max; Hung, Dynamical Theory of Crystal Lattice (Clarendon Press, Oxford, 1956)

    K. Born, Max; Hung, Dynamical Theory of Crystal Lattice (Clarendon Press, Oxford, 1956)

  47. [47]

    D. Qu, C. Li, L. Bao, Z. Kong, and Y. Duan, Structural, electronic, and elastic properties of orthorhombic, hexagonal, and cubic Cu3Sn intermetallic compounds in Sn–Cu lead-free solder, J. Phys. Chem. Solids 138, 109253 (2020)

  48. [48]

    Wu, H.-C

    D.-H. Wu, H.-C. Wang, L.-T. Wei, R.-K. Pan, and B.-Y. Tang, First-principles study of structural stability and elastic properties of MgPd3 and its hydride, J. Magnes. Alloy. 2, 165 (2014)

  49. [49]

    Voigt, Ueber die Beziehung zwischen den beiden Elasticitätsconstanten isotroper Körper, Ann

    W. Voigt, Ueber die Beziehung zwischen den beiden Elasticitätsconstanten isotroper Körper, Ann. Phys. 274, 573 (1889)

  50. [50]

    Reuss, Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle, Z

    A. Reuss, Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle, Z. Angew. Math. Mech. 9, 49 (1929)

  51. [51]

    Hill, The Elastic Behaviour of a Crystalline Aggregate, Proc

    R. Hill, The Elastic Behaviour of a Crystalline Aggregate, Proc. Phys. Soc. Sect. A 65, 349 (1952)

  52. [52]

    I. N. Frantsevich, F. F. Voronov, and S. A. Bakuta, Handbook on Elastic Constants and Moduli of Elasticity for Metals and Nonmetals (Naukova Dumka, 1982)

  53. [53]

    S. F. Pugh, XCII. Relations between the elastic moduli and the plastic properties of polycrystalline pure metals, London, Edinburgh, Dublin Philos. Mag. J. Sci. 45, 823 (1954)

  54. [54]

    M. M. Hossain, M. A. Ali, M. M. Uddin, A. K. M. A. Islam, and S. H. Naqib, Origin of high hardness and optoelectronic and thermo-physical properties of boron-rich compounds B6X (X = S, Se): A comprehensive study via DFT approach, J. Appl. Phys. 129, 175109 (2021)

  55. [55]

    M. A. Hadi, N. Kelaidis, S. H. Naqib, A. Chroneos, and A. K. M. A. Islam, Mechanical behaviors, lattice thermal conductivity and vibrational properties of a new MAX phase Lu2SnC, J. Phys. Chem. Solids 129, 162 (2019)

  56. [56]

    M. I. Naher and S. H. Naqib, Structural, elastic, electronic, bonding, and optical properties of topological CaSn3 semimetal, J. Alloys Compd. 829, 154509 (2020)

  57. [57]

    M. I. Naher and S. H. Naqib, An ab-initio study on structural, elastic, electronic, bonding, thermal, and optical properties of topological Weyl semimetal TaX (X = P, As), Sci. Rep. 11, 5592 (2021)

  58. [58]

    S. Zhu, X. Zhang, J. Chen, C. Liu, D. Li, H. Yu, and F. Wang, Insight into the elastic, electronic properties, anisotropy in elasticity of Manganese Borides, Vacuum 165, 118 (2019)

  59. [59]

    S. I. Ranganathan and M. Ostoja-Starzewski, Universal Elastic Anisotropy Index, Phys. Rev. Lett. 101, 055504 (2008)

  60. [60]

    Gaillac, P

    R. Gaillac, P. Pullumbi, and F.-X. Coudert, ELATE: an open-source online application for analysis and visualization of elastic tensors, J. Phys. Condens. Matter 28, 275201 (2016)

  61. [61]

    Parvin and S

    F. Parvin and S. H. Naqib, Pressure dependence of structural, elastic, electronic, thermodynamic, and optical properties of van der Waals-type NaSn2P2 pnictide superconductor: Insights from DFT study, Results Phys. 21, 103848 (2021)

  62. [62]

    X.-W. Sun, N. Bioud, Z.-J. Fu, X.-P. Wei, T. Song, and Z.-W. Li, High-pressure elastic properties 39 of cubic Ir2 P from ab initio calculations, Phys. Lett. A 380, 3672 (2016)

  63. [63]

    D. M. Teter, Computational Alchemy: The Search for New Superhard Materials, MRS Bull. 23, 22 (1998)

  64. [64]

    Y. Tian, B. Xu, and Z. Zhao, Microscopic theory of hardness and design of novel superhard crystals, Int. J. Refract. Met. Hard Mater. 33, 93 (2012)

  65. [65]

    X.-Q. Chen, H. Niu, D. Li, and Y. Li, Modeling hardness of polycrystalline materials and bulk metallic glasses, Intermetallics 19, 1275 (2011)

  66. [66]

    E. S. Yousef, A. El-Adawy, and N. El-KheshKhany, Effect of rare earth (Pr2O3, Nd2O3, Sm2O3, Eu2O3, Gd2O3 and Er2O3) on the acoustic properties of glass belonging to bismuth, Solid State Commun. 139, 108 (2006)

  67. [67]

    Mazhnik and A

    E. Mazhnik and A. R. Oganov, A model of hardness and fracture toughness of solids, J. Appl. Phys. 126, 125109 (2019)

  68. [68]

    O. L. Anderson, A simplified method for calculating the debye temperature from elastic constants, J. Phys. Chem. Solids 24, 909 (1963)

  69. [69]

    M. I. Naher and S. H. Naqib, First-principles insights into the mechanical, optoelectronic, thermophysical, and lattice dynamical properties of binary topological semimetal BaGa2, Results Phys. 37, 105507 (2022)

  70. [70]

    M. E. Fine, L. D. Brown, and H. L. Marcus, Elastic constants versus melting temperature in metals, Scr. Metall. 18, 951 (1984)

  71. [71]

    Mirzai, A

    A. Mirzai, A. Ahadi, S. Melin, and P. A. T. Olsson, First-principle investigation of doping effects on mechanical and thermodynamic properties of Y2SiO5, Mech. Mater. 154, 103739 (2021)

  72. [72]

    M. Ye, M. J. G. von Westarp, S.-M. Souliou, M. Peters, R. Möller, K. Kliemt, M. Merz, R. Heid, C. Krellner, and M. Le Tacon, Strong electron-phonon coupling and enhanced phonon Grüneisen parameters in valence-fluctuating metal EuPd2Si2, Phys. Rev. B 107, 195111 (2023)

  73. [73]

    M. M. Mridha and S. H. Naqib, Pressure dependent elastic, electronic, superconducting, and optical properties of ternary barium phosphides (BaM2P2; M = Ni, Rh): DFT based insights, Phys. Scr. 95, 105809 (2020)

  74. [74]

    D. G. Cahill and R. O. Pohl, Lattice Vibrations and Heat Transport in Crystals and Glasses, Annu. Rev. Phys. Chem. 39, 93 (1988)

  75. [75]

    D. R. Clarke, Materials selection guidelines for low thermal conductivity thermal barrier coatings, Surf. Coatings Technol. 163–164, 67 (2003)

  76. [76]

    Kleinman, Deformation Potentials in Silicon

    L. Kleinman, Deformation Potentials in Silicon. I. Uniaxial Strain, Phys. Rev. 128, 2614 (1962)

  77. [77]

    K. H. Bennemann and J. W. Garland, Theory for Superconductivity in d‐Band Metals, AIP Conf. Proc. 4, 103 (1972)

  78. [78]

    W. L. McMillan, Transition Temperature of Strong-Coupled Superconductors, Phys. Rev. 167, 331 (1968)

  79. [79]

    E. D. Palik, editor, Handbook of Optical Constants of Solids, Vol. 3 (Academic press, San Diego, 1998)

  80. [80]

    Romaniello, P

    P. Romaniello, P. L. de Boeij, F. Carbone, and D. van der Marel, Optical properties of bcc transition metals in the range 0–40 eV, Phys. Rev. B 73, 075115 (2006)

Showing first 80 references.