AI 中文总结
研究晶体材料界面结构预测问题，针对经典弗兰克 - 比尔比方程无法描述含间断线缺陷界面的不足，推导广义弗兰克 - 比尔比方程，纳入位错和台阶成分，并用于代表性界面系统，完善了界面结构预测方法。
AI 中文摘要
经典的弗兰克 - 比尔比方程（FBE）常用于根据界面位错网络预测晶体材料中界面的结构。然而，界面中的线缺陷通常是具有位错和台阶特征的间断，经典FBE无法捕捉。为此，我们推导了广义弗兰克 - 比尔比方程（GFBE），明确纳入界面缺陷的位错和台阶成分，并展示了其在几个代表性界面系统中的应用。
英文摘要
The classical Frank-Bilby equation (FBE) is commonly used to predict the structure of interfaces in crystalline materials in terms of interfacial dislocation networks. However, in general, the line defects in interfaces are disconnections, possessing both dislocation and step character, which are not captured by the classical FBE. As a result, the FBE cannot fully describe the structure of most interfaces of practical interest. To address this issue, we derive a generalized Frank-Bilby equation (GFBE) that explicitly incorporates both dislocation and step components of interfacial defects. We demonstrate its application to several representative interface systems.
