The specific rotation and stability of (2, 5)-fructose from a mathematical study of the hydrolysis of sucrose by fructosaccharase

Abstract
Mutarotation effects during the rapid inversion of sucrose by yeast fructosaccharase are followed over the monomolecular period of hydrolysis. The rotation due to sucrose at time t is added to that of glucose which is calculated from the equation, [image] where ks and k are the monomolecular velocity constants of sucrose inversion and [alpha]-glucose mutarotation resp., P[image], and Po the final and initial ([alpha])D of muta-rotating [alpha]-glucose, and [alpha]/v the initial wt. of sucrose in Ice. The rotation due to fructose can now be found, and the ([alpha])D of this sugar is plotted for various rates of ks against t. Extrapolation of all curves to t = 0, gives an initial ([alpha])D of +15-17[degree] for (2,5) fructose. From these curves and the above equation in which fructose constants are now substituted, k F, the monomolecular velocity constant of the change of (2,5) fructose to equilibriated fructose, is calculated, and is independent of [image]=0.3 between pH 4.6 and 6.1.