行最简标准形矩阵在化学方程式配平中的应用  

The Application of the Row-Echelon form of the Matrix in Chemical Equation Balancing

作　　者：邱国平 QIU Guo-ping(Xinxing Environment Monitoring Station,Xinxing 527400,China)

机构地区：[1]新兴县环境监测站

出　　处：《数学的实践与认识》2019年第24期140-147,共8页Mathematics in Practice and Theory

摘　　要：以行最简标准形矩阵作为算法基础,通过Matlab软件的符号工具箱编程实现化学方程式的配平.测试不同类型化学方程式的配平,试验结果表明此方法能自动识别反应物与产物的原子数向量与电荷向量.程序适合离子化学方程式、非整数原子个数物质的化学方程式、非数值型的化学方程式等复杂化学方程式的配平.最后,指出对于配平系数不唯一的化学方程式的配平只能通过化学实验、化学原理等来确证.Based on the row-echelon form of the matrix,we proposed a novel approach to balancing chemical equations by Matlab Symbolic Toolbox.The approach has been tested on many typical chemical equations.Experimental results show that the approach can automatically recognize the atoms'vector and charges'vector of the reactants and products.The approach can balance ion chemical equations and chemical equations with atoms which possess fractional as well as non-numerical oxidation numbers.Finally,we point out that the chemical equations of many group balancing coefficient must been confirmed by chemical experiment and chemical principle.

关 键 词：行最简标准形矩阵 MATLAB 符号工具箱 化学方程式配平 

分 类 号：O6-041[理学—化学]