Performance of a Modified Schytil Model for the Surface Tension of Liquid Metallic Elements at Their Melting Point Temperatures

Abstract

From the standpoint of materials process science, the performances of two models for the melting point surface tension were evaluated by comparing experimental values for 66 liquid metallic elements with those calculated from these models using a relative standard deviation as a yardstick: One is the Schytil model, and the other is a modified Schytil model now presented by the authors. The performance of the Schytil model for a large number of liquid metallic elements, in respect of the accuracy of calculations, is not satisfactory. In contrast, the modified Schytil model incorporating a common parameter denoted by $\xi_{\rm T}^{1/2}$ makes a noticeable improvement over the Schytil model. With the exception of some 12 metallic elements, the modified Schytil model performs well for many metallic elements, although the predicted values of $\xi_{\rm T}^{1/2}$ were used for calculating the surface tension of 32 (pure metals) of 66 liquid metallic elements; the calculated values fall, or almost fall, within the range of uncertainties associated with experimental measurements. Finally, it was shown that the values of the respective numeric factor for liquid metallic elements, which appear in the modified Schytil model, vary periodically with atomic number.