Abstract
The Mg–Pt system is considered as a promising hydrogen storage material. Surprisingly, its phase diagram is unknown hence application of this alloy very limited due to undetermined phases stabilities. In this work ab initio calculations were utilized to determine constant pressure heat capacities and Gibbs energy changes in the temperature range between 0 and 1000 K, and mechanical properties. As a result of this calculation, a first, rough phase diagram of the Mg–Pt system was proposed. Moreover, a crystal structure for the MgPt phase was refined based on the mechanical and dynamical stability. The formation free energy changes determined for phases of the Mg–Pt system showed that the MgPt phase exhibited the most negative value. The elastic stiffness matrix elements Cij were determined, as were mechanical properties such as Young’s, bulk, shear moduli, Vicker’s hardness, Poisson’s ratio or the Debye temperatures of intermetallic phases from the Mg–Pt system.
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C. Lu, Y. Ma, F. Li, H. Zhu, X. Zeng, W. Ding, T. Deng, J. Wu, J. Zou, Visualization of fast ‘hydrogen pump’ in core–shell nanostructure Mg@Pt through hydrogen-stabilized Mg3Pt. J. Mater. Chem. A 7, 14629–14637 (2019)
H. Imamura, M. Nakamure, Hydriding properties of Mg-based hydrogen storage materials prepared chemically from a homogeneous phase. Z. Phys. Chem. 183, 157–162 (1994)
A.A. Nayeb-Hashemi, J.B. Clark, The Mg–Pt (magnesium–platinum) system. Bull. Alloy Phase Diagr. 6, 533–534 (1985)
K.T. Jacob, K.P. Abraham, S. Ramachandran, Gibbs energies of formation of intermetallic phases in the system Pt–Mg, Pt–Ca, and Pt–Ba and some applications. Metall. Trans. B 221B, 521–527 (1990)
W. Gierlotka, A. Dębski, S. Terlicka, W. Gąsior, M. Pęska, M. Polański, I.-T. Lin, Insight into phase stability in the Mg–Pt system. The ab initio calculations. J. Phase Equilib. Diffus. 42, 102–106 (2021)
W.R. Hodgkinson, R. Waring, A.P.H. Desborough, Some experiments to obtain, if possible, definite alloys of Pt and Pd with Ca, Zn, and Mg. Chem. News 80, 185 (1899)
AFLOW—Automatic FLOW for Materials Design. aflow.org. Accessed 20 March 2021
Materials Project. www.materialsproject.org. Accessed 10 Feb 2020
R. Ferro, G. Rambaldi, Research on the alloys of noble metals with the more electropositive elements; III—micrographics and X-ray examination of some magnesium–platinum alloys. J. Less Common Met. 2, 383–391 (1960)
H.H. Stadelmaier, W.K. Hardy, Ternary alloys of C-Pd and C–Pt base with Mg, Al, Zn, Ga, Ge, Cd, In, Sn, Hg, Tl, and Pb (in German). Z. Metallkd. 52, 391–396 (1961)
W. Bronger, W. Klemm, Preparation of alloys of platinum with non-noble metals. Z. Anorg. Chem. 319, 58–81 (1963)
S. Terlicka, A. Dębski, W. Gąsior, W. Gierlotka, M. Pęska, M. Polański, Thermodynamic properties of liquid Mg–Pt alloys determined by the calorimetric method. J. Mol. Liq. 317, 113976 (2020)
N. Takeichi, K. Tanaka, H. Tanaka, N. Kuriyama, T.T.M. Ueda, H. Miyamura, S. Kikuchi, Hydrogen storage properties, metallographic structures and phase transformations of Mg-based alloys prepared by super lamination technique. MRS Online Proc. Libr. 1128, 1128-U01-04 (2011)
J.-T. Eisheh, PhD Dissertation, Chrisian-Albrechts-Universitat, Kiel, 2006
F. Mouhat, F.X. Coudet, Necessary and sufficient elastic stability condition in various crystal systems. Phys. Rev. B 90, 224104 (2014)
F.I. Mopsik, The quasi-harmonic approximation and generalized Gruneisen equation of state. J. Res. Natl Bur. Stand. A 77A, 407–409 (1973)
A.C. MacLeaod, Enthalpy and derived thermodynamic functions of platinum and a platinum + rhodium alloy from 400 to 1700 K. J. Chem. Thermodyn. 4(3), 391–399 (1972)
H. Yokokawa, Y. Takahashi, Laser-flash calorimetry II. Heat capacity of platinum from 80 to 1000 K and its revised thermodynamic functions. J. Chem. Thermodyn. 11, 411–420 (1979)
C.C. Yeh, C.R. Brooks, The heat capacity of platinum from 350 to 1200 K: experimental data and an analysis of contributions. High Temp. Sci. 5, 403–408 (1973)
Y. Tian, B. Xu, Z. Zhao, Microscopic theory of hardness and design of novel superhard crystals. Int. J. Refract. Met. Hard Mater. 33, 93–106 (2012)
X.-Q. Chen, H. Niu, D. Li, Y. Li, Modeling hardness of polycrystalline materials and bulk metallic glasses. Intermetallics 19, 1275–1281 (2011)
J. Andersson, T. Helander, L. Höglund, P. Shi, B. Sundman, Thermo-Calc and DICTRA, computational tools for materials science. CALPHAD 26, 273–312 (2002)
A. Zunger, S.-H. Wei, L.G. Ferreira, J.E. Bernard, Special quasirandom structures. Phys. Rev. Lett. 65, 353 (1990)
A. van de Walle, Multicomponent multisublattice alloys, nonconfigurational entropy and other additions to the Alloy Theoretic Automated Toolkit. CALPHAD 33, 266–278 (2009)
G. Kresse, J. Hafner, Ab initio molecular dynamics for liquid metals. Phys. Rev. B 47, 558 (1993)
L. Kaufman, H. Bernstein, Computer Calculation of Phase Diagrams. With Special Reference to Refractory Metals (Academic, New York, 1970)
K. Burke, M. Ernzerhof, J.P. Perdew, Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865 (1996)
A. Togo, I. Tanaka, First principle phonon calculations. Scr. Mater. 108, 1–5 (2015)
W.H. Press, S.A. Flannery, S.A. Teukolsky, W.T. Vetterling, Numerical Recipes (Cambridge University Press, New York, 1986)
W. Voigt, Wechselbeziehungen zwischen einem Vektor und einem Tensortripel. In: Lehrbuch der kristallphysik (Leipzig: Teubner Leipzig, 1928), pp. 801–944
O.H. Nielsen, R.M. Martin, First-principle calculations of stress. Phys. Rev. Lett. 50, 697–700 (1983)
A. Reuss, Z. Angnew, A calculation of the bulk modulus of polycrystalline materials. Math. Methods 9, 55 (1929)
X. Luan, H. Qin, F. Liu, Z. Dai, Y. Yi, Q. Li, The mechanical properties and elastic anisotropies of cubic Ni3Al from first principles calculations. Crystals 8, 307–318 (2018)
S. Boucetta, Theoretical study of elastic, mechanical and thermodynamic properties of MgRh intermetallic compound. J. Magnes. Alloys 2, 59–63 (2014)
C.E. Ho, T.T. Kuo, W. Gierlotka, F.M. Ma, Development and evaluation of direct deposition of Au/Pd(P) bilayers over Cu pads in soldering applications. J. Electron. Mater. 41, 3276–3283 (2012)
W. Gierlotka, Thermodynamic description of the quaternary Ag–Cu–In–Sn system. J. Electron. Mater. 41, 86–108 (2011)
S.W. Chen, H.J. Wu, Y.C. Huang, W. Gierlotka, Phase equilibria and solidification of ternary Sn–Bi–Ag alloys. J. Alloys Compd. 497, 110–117 (2010)
Y.C. Huang, W. Gierlotka, S.W. Chen, Sn–Bi–Fe thermodynamic modeling and Sn–Bi/Fe interfacial reactions. Intermetallics 18, 984–991 (2010)
Scientific Group Thermodata Europe, SGTE Unary Database v. 5 (Scientific Group Thermodata Europe, 2015)
Acknowledgments
The work was partially supported by PL-Grid Infrastructure. This work is supported by the National Science Centre, Poland (Project No. 2018/31/B/ST8/01371, 2019–2022). The work was supported by the Ministry of Science and Technology (Taiwan) under Grant 109-2221-E-259-005.
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Gierlotka, W., Dębski, A., Terlicka, S. et al. Theoretical studies of the thermodynamic and mechanical properties of Mg–Pt system. An insight into phase equilibria. Journal of Materials Research 37, 1904–1915 (2022). https://doi.org/10.1557/s43578-022-00603-4
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DOI: https://doi.org/10.1557/s43578-022-00603-4