Correlation between Surface Tension, Work of Adhesion in Liquid Metals/Ceramic Systems, and Acoustic Parameters

Abstract

correlation Between sUrface tension, work of aDhesion in liqUiD Metals/ceraMic systeMs, anD acoUstic ParaMetersIn the paper, a correlation between acoustic velocities V, elastic moduli M, and densi ties ρ, with surface tension σ m , and work of adhesion W ad of different liquid metals on a given ceramic is studied and demonstrated. Simulation program is developed and used for scanning acoustic microscopy (SAM) under operating conditions, which favour the generation of acoustic waves. As found, for the given systems, all inves tigated acoustic parameters exhibit good dependences with both σ m and W ad . Analysis and quantification of the results lead to the determination of semi-empirical formulas. The expressions are as follow: logand D m are characteristic constants for velocities and elastic moduli, the subscripts m relate to the elastic moduli (Young's or shear ones), and i = L, T, R -to the propagating longitudinal, transverse, and Rayleigh waves' modes. The importance of the deduced formulas lies in the possibility of prediction of surface tension and work of adhesion of such metal/ceramic interfaces depending on the elastic and acoustic characteristics.The interfacial phenomena between metals and ceramics are one of interest subject in science and engineering. The performance of several technological applications such as ceramic metal bonding, metal-

Prediction of Adhesion Energy Terms in Metal/Ceramic Systems by Using Acoustic Parameters

“…The good convergence in W chem-equil values for a given metal/small gap ceramics could be explained by the fact that for E g < 3 eV here will be a big density of charge carriers inside the ceramic crystal and consequently height electron transfer. In this work, an analytical approach [29] is adopted to express the relation between experimental sound velocities of liquid metals (c) at the melting temperature and determinate Rayleigh velocity of these metals at solid state (V RM ) by SAM program. Hence, V RM is expressed in terms of c, as we recently reported [29]:…”

“…In this work, an analytical approach [29] is adopted to express the relation between experimental sound velocities of liquid metals (c) at the melting temperature and determinate Rayleigh velocity of these metals at solid state (V RM ) by SAM program. Hence, V RM is expressed in terms of c, as we recently reported [29]:…”

Adhesion Phenomenon of Liquid Metals

“…Analytical study has been proposed to express the relation between experimental sound velocities of liquid metals at the melting temperature, c, and determinate [20].…”

“…In this work, an analytical approach [20] is adopted to express the relation between experimental sound velocities of liquid metals, c, at the melting temperature and determinate Rayleigh velocity of these metals at solid state, V RM , by SAM program. Hence, V RM is expressed in terms of c, as we recently reported [20].…”

Quantification of Electron Work Function Effects on Acoustic Parameters of Metals

“…Scanning acoustic microscopy (SAM) is one of the important methods for non-destructive determination of elastic properties of metals [11]. This approach, based on the emission and reception of surface acoustic waves (SAWs), is used for the quantitative studies of elastic properties of thin films as well as bulk materials [12]. In this context, a new study has been proposed to determine relationships between work function and acoustic parameters; it shows that these parameters are determined simultaneously via acoustic impedances according to the semi-empirical formulas.…”