The Role of Size Effects on Surface Properties

Abstract

A theoretical model based on the grand partition function has been developed to investigate the role of size effects on surface tension and surface segregation of liquid binary alloys. The necessary relation, which connects the surface composition with surface tension through order potential, surface coordination and volume ratio, is obtained. This has been applied to liquid Na-Cs alloys. Likewise bulk properties, surface segregation and surface tension of Na-Cs liquid alloys are also affected appreciably by the size difference and are anomalous around CNa = 0.8.

Bulk and Surface Properties of Liquid Al-Li and Li-Zn Alloys

“…It is related to dynamic and physical properties: viscosity, diffusion [37] , and surface tension. [38][39][40] The concentration fluctuation function S CC (0) is thermodynamically associated to Gibbs energy of mixing, G M ¼ G xs M þ RT P i C i lnC i ; and activity of pure components (a A and a B ). It can be expressed in the following form [17,18] :…”

Thermo-physical properties of molten Cd-Ga alloys

“…The experimental determination of surface tension involves several difficulties in many cases. Because of this, several theoretical models [9][10][11][12][13] have long been developed to determine surface tension data of metals and alloys. In the present paper we employ the following two statistical formulations for the comparative study of the concentration dependence of surface tension of the Cd-Ga liquid alloys at 700K.…”

“…p and q are surface coordination fractions which are defined as the fractions of the total number of nearest neighbours made by atom within its own layer and that in the adjoining layer. For p and q the following relation is available (Prasad et al, 1994):…”

Assessment of Surface Tension and Viscosity of In-Zn melt

“…(i) The first approach [7,8] links surface tension of a binary liquid alloy, s to its bulk thermodynamic properties through the surface tension s A and s B , and activity coefficients γ A and γ B of the components A and B of the alloy, which can be expressed as:…”

“…Due to scanty of experimental data of surface tension and viscosity as function of composition, we intend to carry out comparative analyses for both of these properties. The surface tension is computed from layered structure approach [7][8][9][10] and self associating mixture method [11]. For the calculation of viscosity of the alloy, we employ Moelwyn-Hughes (M-H) equation [12] and Kaptay equation [12].…”