Abstract
We propose a high-resolution scheme for determining the kinetic parameters of sucrose hydrolysis based on the weak measurement, and the parameters including rate constant, half-life, activation energy and pre-exponential factor are experimentally determined. In the scheme, the postselection state of weak measurement is modified by the optical rotation angle in the process of sucrose hydrolysis, and the amplified spin-Hall shift acts as a probe for determining the kinetic parameters. The rate constant and half-life are obtained based on the time variations of amplified spin-Hall shifts under different reaction conditions of temperatures and hydrochloric acid concentrations. The corresponding activation energy and pre-exponential factor are also evaluated for explaining the physical mechanism which influences the rate constant and analyzing how to adjust the reaction conditions to predict or control the rate. The high resolution for optical rotation angle is achieved in our scheme, which can reach <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">${\rm {4}}{\rm {.9}} \times {\rm {10}}^{\rm {-4}}$</tex-math></inline-formula> degree with one order of magnitude improvement over the polarimeter. These results can provide a possibility for the determination of chemical kinetic parameters with high-precision, real-time, label-free and convenient effects.
Highlights
T HE determination of chemical kinetic parameters, including rate constant, half-life, activation energy and preexponential factor, can provide valid data for revealing the chemical mechanism, and help to control reaction conditions and improve the efficiency of actual industrial production [1], [2].Manuscript received January 5, 2022; accepted January 7, 2022
We have proposed a high-resolution determination scheme for the kinetic parameters of sucrose hydrolysis based on the weak measurement, and the parameters of rate constant, half-life, activation energy and pre-exponential factor have been experimentally determined
We monitor that the time variations of the amplified spin-Hall shifts in the process of sucrose hydrolysis under different reaction conditions of temperatures and catalyst concentrations, and infer the time variations of the optical rotation angles
Summary
T HE determination of chemical kinetic parameters, including rate constant, half-life, activation energy and preexponential factor, can provide valid data for revealing the chemical mechanism, and help to control reaction conditions and improve the efficiency of actual industrial production [1], [2]. The kinetic parameters of sucrose hydrolysis are determined by monitoring the optical rotation angle using a polarimeter, with the apparent advantages of real-time and label-free [4]. In order to solve the problem of low measurement accuracy, some methods, such as liquid chromatograph, magnetic resonance imager and Raman spectrometer, have been reported for the determination of kinetic parameters [7]–[10] These methods have some disadvantages in the process of measurement, such as destroying the reaction process and being unable to monitor in real time. We offer a high-resolution determination proposal for the kinetic parameters of sucrose hydrolysis based on the weak measurement, and experimentally determine the parameters, consisting of rate constant, half-life, activation energy and pre-exponential factor. We can obtain the corresponding kinetic parameters of sucrose hydrolysis
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