物理化学学报 >> 2009, Vol. 25 >> Issue (11): 2177-2180.doi: 10.3866/PKU.WHXB20091114

研究论文 上一篇    下一篇

Pb-Al二元体系液-固界面自由能的热力学理论计算

周生刚, 竺培显, 黄文芳, 杨秀琴, 许健   

  1. 昆明理工大学材料与冶金工程学院, 昆明 650093|云南省新材料制备与加工重点实验室, 昆明 650093
  • 收稿日期:2009-04-10 修回日期:2009-08-03 发布日期:2009-10-28
  • 通讯作者: 周生刚, 竺培显 E-mail:zsgandyliu@126.com; zhu_pei_xian@126.com

Thermal Theoretical Calculation of the Liquid-Solid Interfacial Free Energy in Pb-Al Binary System

ZHOU Sheng-Gang, ZHU Pei-Xian, HUANG Wen-Fang, YANG Xiu-Qin, XU Jian   

  1. Faculty of Materials and Metallurgical Engineering, Kunming University of Science and Technology, Kunming 650093, P. R. China|Yunnan Key Laboratory of New Materials Preparation and Processing, Kunming 650093, P. R. China
  • Received:2009-04-10 Revised:2009-08-03 Published:2009-10-28
  • Contact: ZHOU Sheng-Gang, ZHU Pei-Xian E-mail:zsgandyliu@126.com; zhu_pei_xian@126.com

摘要:

以复杂的Warren二元及赝二元常规系统下的液-固界面自由能理论为基础, 借助Pb-Al二元体系为例对其进行简化, 获得了二元非混溶体系液-固界面自由能物理模型, 然后对其热力学公式进行推导, 得出只含两个参变量的理论公式, 并对几种温度下液-固界面自由能(γSL)计算值及用多相平衡(MPE)法得到的实验值作了对比. 结果表明, 改进的物理模型及理论公式易于理解、计算简便, γSL的计算值取决于温度及Al原子分数的两个参变量, 与实验值较好地吻合, 证明了该模型具有结构简单、精度较高的优点, 并可作为其它非混溶体系γSL的计算模型, 为其推广应用奠定基础.

关键词: 非混溶, Pb-Al二元体系, Warren理论, 多项平衡法, 液-固界面自由能

Abstract:

Based on the Warren's interface theory of liquid-solid interfacial energy for complicated compatible binary and pseudo binary systems, a physical model for the liquid-solid free interfacial energy that has been simplified at the theoretical level was obtained by taking the Pb-Al liquid-solid binary system as an example. A theoretical formula with two variables was then obtained by deducing a thermodynamic equation, and the calculational values and the experimental values by multiphase equilibrium method (MPE) were compared. Finally, research on a Pb-Al binary liquid-solid system showed that the calculated liquid-solid interfacial free energy (γSL) values from the model provided a result similar to the experimental measurement with a low average error. The calculated values only depend on the temperature and the Al concentration. A foundation to calculate γSL for other systems has therefore been established.

Key words: Immiscible, Pb-Al binary system, Warren’s interface theory, Multiphase equilibriummethod, Liquid-solid interfacial free energy

MSC2000: 

  • O642