[Dichotomizing method applied to calculating equilibrium constant of dimerization system].
The arbitrary trivariate algebraic equations are formed based on the combination principle. The univariata algebraic equation of equilibrium constant kappa 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.
Cheng
Guo-zhong
GZ
Dept. of Mathematics, Sichuan Teachers College, Nanchong 637002, China.
Ye
Zhi-xiang
ZX
D000465:Algorithms; D019281:Dimerization; D007211:Indoles / Q000737:chemistry*; D054833:Isoindoles; D008433:Mathematics; D009942:Organometallic Compounds / Q000737:chemistry; D013056:Spectrophotometry, Ultraviolet
D007211:Indoles; D054833:Isoindoles; D009942:Organometallic Compounds; C065938:gallium disulfophthalocyanine; C063072:zinc(II) phthalocyanine trisulfonic acid; C013647:phthalocyanine