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Thermodynamic and Kinetic Studies of Glass-Forming Compositions in Ca‒Mg‒Cu Ternary Metallic Glasses

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Abstract

Herein, we systematically studied the thermodynamic and kinetic aspects of glass forming compositions in Ca–Mg–Cu alloy obtained by drawing the isocontour. Parameter \({{P}_{{{\text{HS}}}}}\) derived from the enthalpy of chemical mixing (ΔHchem) and normalized mismatch entropy (\(\Delta {{S}_{\sigma }}/{{k}_{{\text{B}}}}\)) is used as a glass-forming ability (GFA) parameter. Variation of \({{P}_{{{\text{HS}}}}}\) with reported and calculated compositions is evaluated. Linear relation of Cu with \({{P}_{{{\text{HS}}}}}\) is observed, whereas inverse relation of Ca and Mg is obtained. The linear variation of \({{P}_{{{\text{HS}}}}}\) with a supercooled liquid region (SCLR) (\(\Delta {{T}_{{\text{x}}}}\)) is studied. Inverse correlation of critical cooling rate (\({{R}_{{\text{C}}}}\)) with \({{P}_{{{\text{HS}}}}}\) is obtained. \({{R}_{{\text{C}}}}\) for predicted compositions is found close to that of reported compositions. Therefore, Cu should be added carefully with other elements to improve the GFA and reduce the cooling rate of Ca‒Mg‒Cu glassy. In this paper, an empirical correlation of \(\Delta {{T}_{{\text{x}}}}\) with \({{P}_{{{\text{HS}}}}}\) is proposed, and the modeled values are found to agree with the experimental values.

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ABBREVIATIONS

GFA, glass-forming ability; SCLR, supercooled liquid region; GFCs, glass-forming compositions; DSC, differential scanning calorimetry; TTT, time‒temperature transformation; \({{T}_{{\text{g}}}}\), glass transition temperature; \(~\Delta {{H}_{{{\text{chem }}}}}\), enthalpy of chemical mixing; \(\Delta {{S}_{\sigma }}/{{k}_{{\text{B}}}}\), normalized mismatch entropy; \(\Delta {{S}_{{\text{C}}}}/R\), normalized configurational entropy; \({{R}_{{\text{C}}}}\), critical cooling rate; homologous temperature, \({{T}_{{\text{H}}}}\); I, nucleation rate; u, growth rate; D, diffusion coefficient; η, viscosity.

FUNDING

One of the authors, Akash A. Deshmukh, thanks UGC, NEW DELHI, INDIA for providing Basic Science Research (BSR) fellowship. One of the authors, Jain Bhatt, would like to acknowledge the Science and Engineering Research Board grant (CRG/2019/003674) for research support.

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Authors and Affiliations

  1. Department of Materials Engineering, Indian Institute of Technology Gandhinagar, 382355, Gujarat, India

    Akash A. Deshmukh

  2. X-ray Research Laboratory, Department of Physics, Rashtrasant Tukadoji Maharaj Nagpur University, 440033, Nagpur, M.S., India

    Akash A. Deshmukh & Umesh A. Palikundwar

  3. Department of Mechanical Engineering, Nutan Maharashtra Institute of Engineering and Technology, 410507, Pune, M.S., India

    Anuj A. Khond

  4. Department of Metallurgical and Materials Engineering, 440010, V.N.I.T. Nagpur, M.S., India

    Jatin. G. Bhatt

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  1. Akash A. Deshmukh
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Akash A. Deshmukh, Khond, A.A., Bhatt, J.G. et al. Thermodynamic and Kinetic Studies of Glass-Forming Compositions in Ca‒Mg‒Cu Ternary Metallic Glasses. Glass Phys Chem 49, 604–616 (2023). https://doi.org/10.1134/S1087659622600211

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