Thermodynamic, structural and surface properties of liquid Cd–Zn alloys
Highlights
► Cd–Zn liquid alloys are weakly segregating at 800 K. ► The tendency of surface phase segregation of Cd-atoms is pronounced. ► Interaction energy parameter is temperature dependent.
Introduction
In metallurgical science, metal alloys are generally beneficial over metals for their increased mechanical strength, heat resistance, chemical resistance, decreased production costs, and a wider range of colour not found naturally. Cadmium and cadmium based alloys have frequently been the subject of both theoretical and experimental research studies [1], [2], [3], [4], [5], [6]. Cadmium–zinc is one of numerous metal alloys, which has potential applications in bearing assemblies, ballasts, casting, step soldering, radiation shielding, etc. Smaller cadmium content cadmium–zinc alloys exhibit lower melting point, improved thermal and electrical conductivities and increased mechanical properties such as hardness, wear resistance, tensile and fatigue strength [7]. Cadmium–zinc alloys are used as special solders at medium temperature which provide excellent corrosion resistant joints on most metals. Devices with such superior strength joints can work in high vibration and high stress applications in electronics, lighting and electrical products [7]. In addition cadmium is toxic and its use in electroplating as in cyanide baths poses problems of environmental concern. Cadmium–zinc alloys can be used in dry electroplating and can be a safer potential substitute for cadmium.
With such prospective applications and benefits, it is useful to study the mixing properties of cadmium–zinc alloys in metallurgical science. These studies are, indeed, important because a good knowledge of their mixing properties in the liquid state is necessary for understanding process of design and preparation of desired materials. Transport properties such as diffusivities of metals in the liquid state are required for many metallurgical processes and heterogeneous chemical reactions. Similarly, the knowledge of surface properties is required for understanding of the surface related phenomena such as wetting characteristics of solders, corrosion and kinetics of phase transformation [8]. The role of these properties at initial melt is important in the formation of solid alloys. The alloying behaviour of binary alloys can be studied theoretically by computing thermodynamic, structural, transport and surface properties of alloys in the liquid state. For a long time many researchers [5], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32] have been working with several models to explain the mixing properties of binary liquid alloys.
In the present work, we have studied the Cd–Zn alloys in molten state at 800 K. The concentration fluctuations in long wavelength limit, Scc(0) for Cd–Zn liquid alloys computed directly from observed activity data [9] indicates that self associations of atoms are energetically favoured. With the aim of understanding from theoretical point of view the mixing behaviour of the alloy in bulk and at the surface we have computed thermodynamic, structural and transport properties in the framework of quasi-chemical approximation [10], and surface properties as function of bulk concentration from the formulation of Prasad et al. [12]. In order to see the reliability of the data on surface properties obtained from Prasad et al., we have also employed other approaches, namely the approaches reported by Novakovic [13], and March and Alonso [15].
Basic theoretical formalism is presented in Section 2. Section 3 deals with results and discussion and conclusions are outlined in Section 4.
Section snippets
Thermodynamic functions
Consider a phase separating binary liquid A–B consisting of NA(= Nx1) atoms of element A and NB (= Nx2) atoms of element B, where NA + NB = N. Singh and Sommer [16] proposed a simple statistical model for studying phase separating binary liquid alloys in which A atoms and B atoms are supposed to be situated in equivalent sites with short-range interaction effective only between nearest-neighbours, leading to the formation of like atom clusters or self-associates of type Ai and Bj, where iA = Ai, jB = Bj.
Thermodynamic properties: free energy of mixing, entropy of mixing, heat of mixing and chemical activity
We have studied the concentration dependence of thermodynamic properties of liquid Cd–Zn alloys at 800 K using the formulations (Eqs. (1), (2), (3), (4), (5), (6), (7), (8)) for quasi-chemical approximation. In the framework of this approximation where homo-coordination is preferred in alloys, the number of self-associates, γ and ordering energy parameter, W are required. These input parameters have been determined by simultaneously fitting the experimental data [9] of free energy of mixing, GM
Conclusion
The analysis reveals that there is a weak tendency of pairing of like atoms (Cd–Cd or Zn–Zn), i.e. the Cd–Zn alloys in molten state at 800 K represent a weakly interacting system endowed with segregating nature throughout the whole range of concentration. Small negative deviations are observed in the computed values of surface tension from ideality in Cd–Zn system at 800 K. The surface tension of this alloy decreases with increase in the concentration of Cd-component. Moreover, the Cd-atoms tend
Acknowledgment
One of the authors (D. Adhikari) is thankful to Nepal Academy of Science and Technology (NAST) for providing financial support to pursue the research.
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