研究晶须生长基元的一种数学新方法  

A New Mathematical Method for Study Whisker Growth Elements

作　　者：吴健松 简艺 WU Jian-song;JIAN Yi(College of Science and Technology of 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理工学院,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6期4-10,共7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：介绍了研究晶须生长基元的一种数学新方法,这可弥补拉曼光谱法指认生长基元的不足。此新方法是借助matlab软件,将晶须生长体系pH值随时间变化的函数作傅里叶变换,从变换得到的方程中提取主频谱,从而指认生长基元。根据傅里叶变换的物理意义,从变换得到的频谱中寻找生长基元的种类以推知生长基元的种数,即可推知生长体系中主要的生长基元,这是研究晶须生长机制必不可少的环节。文章介绍了matlab作出傅里叶变换的程序代码,并给出分析频谱的方法及其表示的物理意义,这些方法可为晶须及一般晶体研究提供借鉴。同时文章又是傅里叶变换应用的一种拓展。This article introduced a new mathematical method to study the growth units of whiskers,which can make up for the deficiency of Raman spectroscopy.The new method is to use MATLAB software to transform the function of pH value of whisker growth system with time by Fourier transform,and extract the main frequency spectrum from the transformation equation,so as to identify the growth units.According to the physical meaning of Fourier transform,the types of growth units can be found from the frequency spectrum obtained by Fourier transform so as to infer the number of growth units,and the main growth units in the growth system can be deduced.This is an essential link in the study of whisker growth mechanism.This article introduced the program MATLAB to make Fourier transform,and gave the method of spectrum analysis and the physical meaning of its expression.These methods can provide reference for researchers of whisker and general crystal.At the same time,this article is an extension of the application of Fourier transform.

关 键 词：傅里叶变换 MATLAB应用 数学新方法 晶须生长机理 

分 类 号：O645[理学—物理化学]