Abstract
Multicomponent aluminum-based alloys are important in various industries. The percentage of the base component with various impurities and alloying additions in such alloys plays a fundamental role in achieving the required properties of the final product. For our research, information on the diffusion properties of alloying components, such as Si, Cu, Mg, Sc, Ca, Ti, Zr, and Cr, in the liquid state is useful. Unfortunately, for these elements (except for Cu), even in the pure form, the required information in the literature is insufficient. In this work, the self-diffusion coefficient of liquid Mg is chosen as an object of study. The calculations are carried out, starting from the melting temperature at a step of 30 K, in the range 923–1043 K within the framework of an approach based on three theoretical components: the linear trajectory method, the model square-well potential, and the random phase approximation. The results obtained are comparable with all the data of a computer experiment available in the literature, although to a better extent with the result of classical MD. At the same time, the slight increase in our calculated values of the self-diffusion coefficient with temperature can point to their better agreement with ab initio MD results with a significant increase in temperature, which is due to an increase in the RPA accuracy with temperature. The study shows that, in the absence of experimental information on the self-diffusion coefficient of a liquid metal, the approach of joint use of the linear trajectory method, the square-well potential, and the random phase approximation can be a workable tool for estimating this property.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1134%2FS0036029522080079/MediaObjects/11505_2022_11051_Fig1_HTML.png)
Similar content being viewed by others
REFERENCES
E. A. Popova, A. B. Shubin, R. V. Kotenkov, L. E. Bodrova, A. V. Dolmatov, E. A. Pastukhov, and N. A. Vatolin, “Al–Sc–Zr master alloy and estimation of its modifying capacity,” Russ. Met. (Metally), 715–718 (2011).
E. A. Popova, R. V. Kotenkov, A. B. Shubin, and E. A. Pastukhov, “Structural features of Al–Hf–Sc master alloys,” Rus. J. Non-Ferr. Met. 58, 639–643 (2017).
E. A. Popova, R. V. Kotenkov, A. B. Shubin, and I. Gilev, “Formation of metastable aluminides in Al–Sc–Ti (Zr, Hf) cast alloys,” Met. Mater. Int. 26, 1515–1523 (2020).
A. I. Landa, A. A. Yuryev, A. V. Ruban, E. G. Gurskaya, Yu. K. Kovneristyi, and N. A. Vatolin, “Pseudopotential calculation of thermodynamic properties and glass transition temperatures of binary Ni–Al alloys,” J. Phys.: Condens. Matter. 3, 9229–9243 (1991).
A. A. Polyakov, E. M. Kern, and N. A. Vatolin, “Structure of an aluminum–nickel melt,” Rasplavy, No. 1, 16–24 (1996).
R. E. Ryltsev and L. D. Son, “Statistical description of glass-forming alloys with chemical interaction: application to Al–R systems,” Physica B 406, 3625–3630 (2011).
S. K. Yadav, S. Lamichhane, L. N. Jha, N. P. Adhikari, and D. Adhikari, “Mixing behaviour of Ni–Al melt at 1873 K,” Phys. Chem. Liq. 54, 370–383 (2016).
R. M. Khusnutdinov, A. V. Mokshin, S. G. Menshikova, A. L. Beltyukov, and V. I. Ladyanov, “Viscous and acoustic properties of AlCu melts,” JETP 122, 859–868 (2016).
N. E. Dubinin, “Corresction to the Wills–Harrison approach: influence on the Fe-based liquid alloys thermodynamics,” J. Phys.: Conf. Ser. 936, 012006 (2017).
M. E. Trybula, P. W. Szafrański, and P. A. Korzhavyi, “Structure and chemistry of liquid Al–Cu alloys: molecular dynamic study versus thermodynamics-based modeling,” J. Mater. Sci. 53, 8285–8301 (2018).
D. Sheng-Chao, S. **ao, Y. Wen-Sheng, G. Han-Jie, and G. **g, “Determination of thermodynamic properties in full composition range of Ti–Al binary melts based on atom and molecule coexistence theory,” Trans. Nonfer. Met. Soc. China 28, 1256–1264 (2018).
J. Brillo, M. Watanabe, and H. Fukuyama, “Relation between excess volume, excess free energy, and isothermal compressibility in liquid alloys,” J. Mol. Liq. 326, 114395 (2021).
I. O. Gilev, A. B. Shubin, and P. V. Kotenkov, “Thermodynamic characteristics of binary Al–Hf melts,” Russ. Met. (Metally), 919–923 (2021).
E. Helfand, “Theory of the molecular friction comstant,” Phys. Fluids 4, 681–691 (1961).
H. T. Davis and J. A. Palyvos, “Contribution to the friction coefficient from time correlation between hard and soft molecular interactions,” J. Chem. Phys. 46, 4043–4047 (1967).
J. Woodhead-Galloway, T. Gaskell, and N. H. March, “Direct correlation function and equation of state of liquid argon,” J. Phys. C 1, 271–285 (1968).
A. B. Finkel’shtein, “The SW–RPA and HS–PY self-diffusion coefficients for liquid sodium,” Adv. Studies Theor. Phys. 8, 61–62 (2014).
A. B. Finkel’shtein, “The SW—RPA self-diffusion coefficient of liquid potassium,” Adv. Studies Theor. Phys. 8, 385–386 (2014).
I. E. Furman, “Self-diffusion coefficient of liquid rubidium,” Adv. Studies Theor. Phys. 8, 653–654 (2014).
S. N. Zlygostev, “Self-diffusion coefficient of liquid lithium,” Adv. Studies Theor. Phys. 8, 679–680 (2014).
A. S. Fefelov, I. E. Furman, E. V. Nikitina, R. A. Ivanov, and I. V. Evdokimova, “Self-diffusion coefficients of cadmium and indium in liquid,” Russ. Met. (Metally), 680–681 (2017).
J. L. Lebowitz and J. K. Percus, “Mean spherical model for lattice gases with extended hard cores and continuum fluids,” Phys. Rev. 144, 251–258 (1966).
N. E. Dubinin, “Square-well self-diffusion coefficients in liquid binary alloys of alkali metals within the mean spherical approximation,” J. Alloys Compd. 803, 1100–1104 (2019).
N. E. Dubinin, “Self-diffusion in liquid copper, silver, and gold,” Metals 10, 1651 (2020).
R. K. Mishra, R. Lalneihpuii, and R. Pathak, “Investigation of structure, thermodynamic and surface properties of liquid metals using square well potential,” Chem. Phys. 457, 13–18 (2015).
A. G. Davydov and N. K. Tkachev, “Features of the dimerization equilibrium in square-well fluids,” J. Mol. Liq. 275, 91–99 (2019).
R. Lalneihpuii, R. Shrivastava, C. Lalnuntluanga, and R. K. Mishra, “Bhatia–Thornton fluctuations, transport, and ordering in partially ordered Al–Cu alloys,” J. Stat. Mech. 2019, 053202 (2019).
N. E. Dubinin, “Comment on ‘Features of the dimerization equilibrium in square-well fluids,’” J. Mol. Liq. 291, 111198 (2019).
N. E. Dubinin, “Comment on ‘Bhatia–Thornton fluctuations, transport, and ordering in partially ordered Al–Cu alloys,’” J. Stat. Mech. 2020, 033205 (2020).
N. E. Dubinin, “Some remarks on the investigation of structure, thermodynamic and surface properties of liquid metals using square well potential,” Chem. Phys. 539, 110958 (2020).
M. S. Wertheim, “Exact solution of the Percus–Yevick integral equation for hard spheres,” Phys. Rev. Lett. 10, 321–323 (1963).
Y. Waseda, The Structure of Non-Crystalline Materials—Liquids and Amorphous Solids (McGraw-Hill, New York, 1980).
G. A. de Wijs, PhD Thesis, Rijksuniversiteit, Groningen, 1995.
M. M. G. Alemany, J. Casas, C. Rey, L. E. Gonzalez, and L. J. Gallego, “Dynamic properties of liquid alkaline-earth metals,” Phys. Rev. E 56, 6818 (1997).
S. Sengul, D. J. Gonzalez, and L. E. Gonzalez, “Structural and dynamic properties of liquid Mg. An orbital-free molecular dynamics study,” J. Phys.: Condens. Matter. 21, 115106 (2009).
D. Liu, J. Y. Qin, and T. K. Gu, “The structure of liquid Mg–Cu binary alloys,” J. Non-Cryst. Sol. 356, 1587–1592 (2010).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The author declares that he has no conflicts of interest.
Additional information
Translated by Yu. Ryzhkov
Rights and permissions
About this article
Cite this article
Kotenkov, P.V. Self-Diffusion Coefficient of Liquid Magnesium near the Melting Temperature. Russ. Metall. 2022, 951–954 (2022). https://doi.org/10.1134/S0036029522080079
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0036029522080079