几种重要晶须生长基元稳定能计算的数学方法  

Mathematical Methods for Calculating the Stable Energy of Several Important Whiskers Growth Units

作　　者：吴健松 简艺 WU Jian-song;JIAN Yi(Guangdong Preschool Normal College in Maoming,Maoming 525000,China;School of Chemistry and Chemical Engineering of Lingnan Normal University,Zhanjiang 524048,China)

机构地区：[1]广东茂名幼儿师范专科学校,广东茂名525000 [2]岭南师范学院化学化工学院,广东湛江524048

出　　处：《盐科学与化工》2021年第5期3-6,共4页Journal of Salt Science and Chemical Industry

基　　金：国家自然科学基金(51272207);广东省科技计划(2013B021100019)。

摘　　要：大量从液相体系生长出的都表明其生长机理服从"拓展的ACP机制"。而在拓展的ACP机制中,一个非常重要的环节就是基元稳定能的计算。能否对基元进行精准的稳定能计算,将决定晶须能否成功制备。计算方法是以稳定能计算式为依托,先画出基元空间几何图形,然后利用余弦定理求解出三角形的边长,这些边长正是离子之间的距离。继而将求解得到的离子距离以及其他已知的参数代入到稳定能算式中,即可求得稳定能。文章列举了几种重要的晶须生长基元稳定能计算的数学方法,详细分析了求和项的计算方法,并给出了计算结果。这些方法和结果可为晶须研究人员提供借鉴。A large number of whiskers grown from liquid phase system indicate that the Growth mechanism obeys the "extended ACP mechanism". In the extended ACP mechanism, one of the most important links is the calculation of the stable energy of units. Whether the stability energy of the basic element can be calculated accurately will determine whether the whisker can be successfully prepared. The calculation method is based on the formula of stability energy. First, draw the elementary space geometry figure, and then use the cosine theorem to solve the side length of the triangle, which is exactly the distance between ions. The stable energy can be obtained by substituting the ion distance and other known parameters into the stable energy formula. In this article, several important mathematical methods for calculating the stability energy of whisker growth elements are listed, and the calculation methods of summation term are analyzed in detail, and the calculation results are given. These methods and results can provide reference for whisker researchers.

关 键 词：基元稳定能 拓展的ACP机制 晶须生长机理 

分 类 号：O645[理学—物理化学]