| 用对分法计算二聚体系平衡常数 |
| |
| 引用本文： | 程国忠,叶芝祥.用对分法计算二聚体系平衡常数[J].光谱学与光谱分析,2002,22(3):515-517. |
| |
| 作者姓名： | 程国忠 叶芝祥 |
| |
| 作者单位： | 1. 四川师范学院数学系,四川,南充,637002
2. 成都信息工程学院地球环境科学系,四川,成都,610041 |
| |
| 基金项目： | 四川省教育厅资助项目 (编号 98 1 4 3) |
| |
| 摘 要： | 本文根据组合原理组成任意的三元代数方程组，经过一系列代数变换，获得关于二聚体系平衡常数k的一元代数方程，用单调函数的性质判定该方程是滞有解；对有解一元代数方程，用对分法等数值计算方法求得二聚体系平衡常数，并以拟合误差为判据确定最终二聚体系平衡常数，用本方法计算出的二磺化酞菁和三磺化酞菁的平衡常数分别为47973.4和30271.8，所得结果优于文献。
|
| 关 键 词： | 二聚体系 平衡常数 函数单调性 对分法 拟合误差 磺化金属酞菁 |
| 文章编号： | 1000-0593(2002)03-0515-03 |
| 修稿时间： | 2000年12月24 |
Dichotomizing Method Applied to Calculating Equilibrium Constant of Dimerization System |
| |
| Guo-zhong Cheng,Zhi-xiang Ye.Dichotomizing Method Applied to Calculating Equilibrium Constant of Dimerization System[J].Spectroscopy and Spectral Analysis,2002,22(3):515-517. |
| |
| Authors: | Guo-zhong Cheng Zhi-xiang Ye |
| |
| Institution: | Dept. of Mathematics, Sichuan Teachers College, Nanchong 637002, China. |
| |
| Abstract: | The arbitrary trivariate algebraic equations are formed based on the combination principle.The univariata algebraic equation of equilibrium constant k for dimerization system is obtained through a series of algebraic transformation,and it depends on the properties of monotonic functions whether the equation is solvable or not.If the equation is solvable,equilibrium constant of dimerization system is obtained by dichotomy and its final equilibrium constant of dimerization system is determined according to the principle of error of fitting.The equilibrium constants of trisulfophthalocyanine and biosulfophthalocyanine obtained with this method are 47 973 4 and 30 271 8 respectively.The results are much better than those reported previously. |
| |
| Keywords: | Equilibrium constant of dimerization system Monotomicity of function Dichotomy Error of fiiting |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
