特征参量法1: 简单级数反应的热动力学研究法

建立了测定热动力学体系冷却常数的线性拟合法和简单级数反应通用的热动力学研究法---特征参量法。导出了简单级数反应的动力学参数Kn和速率常数kn的通用计算式。应用冷却常数的线性拟合法在不同温度下测定了两个反应体系的冷却常数, 探讨了温度、浓度、介质及装样方式对冷却常数的影响。应用简单级数反应的特征参量法研究了一级、二级、三级和分数级反应的热动力学, 结果文献值吻合。讨论了热动力学体系的冷却常数对速率常数计算结果的影响。     

慢对峙反应的热动力学对比参量法

根据热动力学基本理论，推导了对峙反应的热动力学对比参量方程，建立了对峙反应对比参量法的数学模型。该法利用特征时间t~m和2t~m时对应的热谱数据计算反应的对比参量，进而解析出较慢对峙反应的速率常数和平衡常数。利用该法分别研究了硝基乙烷与氨和三(羟甲基)氨基甲烷质子转移反应的热动力学，实验结果表明了较慢对峙反应对比参量法的正确性。     

慢对峙反应的热动力学对比参量法

根据热动力学基本理论,推导了对峙反应的热动力学对比参量方程,建立了对峙反应对比参量法的数学模型。该法利用特征时间t~m和2t~m时对应的热谱数据计算反应的对比参量,进而解析出较慢对峙反应的速率常数和平衡常数。利用该法分别研究了硝基乙烷与氨和三(羟甲基)氨基甲烷质子转移反应的热动力学,实验结果表明了较慢对峙反应对比参量法的正确性。     

时间参量法4: 简单级数反应的双谱法

根据简单级数反应的热动力学方程,提出了一种新的热谱曲线解析方法---简单级数反应的双谱法。该法利用两张热谱曲线的特征热谱数据α~m^*,Δ~m,和t~m,便能以简单的数学形式计算出化学反应的速率常数。实验结果验证了方法的正确性。     

时间参量法4: 简单级数反应的双谱法

根据简单级数反应的热动力学方程,提出了一种新的热谱曲线解析方法---简单级数反应的双谱法。该法利用两张热谱曲线的特征热谱数据α~m^*,Δ~m,和t~m,便能以简单的数学形式计算出化学反应的速率常数。实验结果验证了方法的正确性。     

特征参量法 2: 可逆反应

根据几类可逆反应通用的微分动力学方程和热动力学变换方程,本文建立了可逆反应的特征参量研究法。应用该法在两个温度下研究了硝基乙烷分别与氨和Tris反应的热动力学, 实验结果验证了可逆反应特征参量法的正确性。     

特征参量法 2: 可逆反应

根据几类可逆反应通用的微分动力学方程和热动力学变换方程,本文建立了可逆反应的特征参量研究法。应用该法在两个温度下研究了硝基乙烷分别与氨和Tris反应的热动力学, 实验结果验证了可逆反应特征参量法的正确性。     

热动力学对比参量法 --简单级数反应

根据化学反应动力学和热动力学基本理论, 建立了简单级数反应的热动力学对比参量方程, 提出了一种新的热动力学研究法--对比参量法. 利用该法可以从一张热谱图上同时解析出化学反应的速率常数、半衰期和热动力学体系的冷却常数. 实验结果验证了方法的正确性.     

热动力学对比进度法V. 连续一级反应的热动力学研究法

本文导出了连续一级反应动力学和热动力学的对比进度方程, 建立了连续一级反应热动力学的数学模型。根据该模型, 可由一次实验的热谱数据同时解析出两步反应的速率常数和摩尔反应焓。采用热导式热量计研究了己二酸二乙酯皂化反应的热动力学, 实验结果验证了本文热动力学模型的正确性。     

热动力学对比进度法V. 连续一级反应的热动力学研究法

本文导出了连续一级反应动力学和热动力学的对比进度方程, 建立了连续一级反应热动力学的数学模型。根据该模型, 可由一次实验的热谱数据同时解析出两步反应的速率常数和摩尔反应焓。采用热导式热量计研究了己二酸二乙酯皂化反应的热动力学, 实验结果验证了本文热动力学模型的正确性。     

Characteristic parameter method for studying kinetics of opposing reactions in calorimeter

According to the theoretical basis of thermokinetics, the integral and differential thermokinetic equations of opposing reactions have been derived, and a novel thermokinetic research method, the characteristic parameter method for opposing reactions which taking place in a batch conduction calorimeter under isothermal condition, has been proposed in this paper. Only needing the characteristic thermoanalytical data corresponding to t_m and 2t_m from the same curve, the rate constants of forward and backward reactions and equilibrium constant can be calculated simultaneously with this method. In order to test the validity of this method, the proton-transfer reactions of nitroethane with ammonia at 15 and 25°C, and with trihydroxymethyl aminomethane (Tris) at 15 and 30°C have been studied, respectively. The results of rate constants and equilibrium constants calculated with this method are in agreement with those in the literature. Therefore, the characteristic parameter method for opposing reaction is believed to be correct.This revised version was published online in November 2005 with corrections to the Cover Date.     

Calorimetric Reaction Rate Determination with the Characteristic Kinetic Parameter Method

On the basis of the theory of thermokinetics proposed in the literature, a novel thermokinetic method for determination of the reaction rate, the characteristic parameter method, is proposed in this paper. Mathematical models were established to determine the kinetic parameters and rate constants. In order to test the validity of this method, the saponifications of ethyl benzoate, ethyl acetate and ethyl propionate, and the formation of hexamethylenetetramine were studied with this method. The rate constants calculated with this method are in agreement with those in the literature, and the characteristic parameter method is therefore believed to be correct.In the light of the characteristic parameter method, we have developed further two thermo-kinetic methods, the thermoanalytical single and multi-curve methods, which are convenient for simultaneous determination of the reaction order and the rate constant. The reaction orders and rate constants of the saponifications of ethyl acetate and ethyl butyrate and the ring-opening reaction of epichlorohydrin with hydrobromic acid were determined with these methods, and their validity was verified by the experimental results.This revised version was published online in November 2005 with corrections to the Cover Date.     

Characteristic parameter method for studying chemical kinetics in calorimeter

A novel thermokinetic research method for determination of rate constants of simple-order reaction in batch conduction calorimeter under isothermal condition, the characteristic parameter method, is proposed in this paper. Only needing the characteristic time parameter tm obtained from the measured thermoanalytical curve, the kinetic parameters of reactions studied can be calculated conveniently with this method. The saponifications of ethyl propionate and ethyl acetate in aqueous ethanol solvent, the polymerization of acrylamide in aqueous solution, the ring opening reaction of epichlorohydrin with hydrobromic acid have been studied. The experimental results indicate that the characteristic parameter method for simple-order reaction is correct. This revised version was published online in August 2006 with corrections to the Cover Date.     

Thermokinetic Research Method for Simple-order Reactions. Double-thermoanalytical curve method

A novel thermokinetic research method for determination of the rate constant of a reaction taking place in a batch conduction calorimeter under isothermal conditions is proposed: the double-thermoanalytical curve method. The method needs only the characteristic time parameter t _m, the peak height Δ_m at time t _m and the peak area a*_m after time t _m for two thermoanalytical curves measured with different initial concentrations of the reactants: it conveniently calculates the rate constants. The thermokinetics of four reaction systems were studied with this method, and its validity was verified by the experimental results. This revised version was published online in July 2006 with corrections to the Cover Date.     

Derivation of rate constant ratios for consecutive second‐order irreversible reactions

The determination of rate constants for consecutive irreversible reactions is a difficult and time‐consuming problem, especially when the research extends up to many subsequent products. Thus, the derivation of proper mathematical expressions would greatly facilitate the determination of these rate constants when only the rate constant of the first consecutive reaction is known. Many authors have dealt with this problem in the past but the issue is still of interest to the scientific community judging from recent publications. This paper aims at extending our knowledge of mathematical expressions for rate constant ratios of consecutive reactions to more than three reactions, as is the situation now, and offering a simple graphical estimation of the rate constant ratios exploiting the maxima of each intermediate product. Furthermore, the method extends to the derivation of a generic formula for the estimation of the rate constant ratios based on this graphical approach. This approach for the estimation of rate constant ratios based on mathematical expressions and graphical estimations was validated against experimental data found in the literature.     

Thermokinetic Research Method for Faster First-order Reaction. Double-parameter method

This paper presents a novel data processing method for thermokinetics of faster first-order reaction on the basis of the double-parameter theoretical model of a conduction calorimeter, in which the rate constant of a first-order reaction can be calculated from only four peak height data from the same thermoanalytical curve without using any peak-area. The saponifications of ethyl acetate and methyl acetate in aqueous solution and ethyl benzoate in aqueous alcohol have been studied to test the validity of this method. The rate constants calculated with this method are in fair agreement with those in literature; hence the validity of this method is demonstrated. This revised version was published online in August 2006 with corrections to the Cover Date.     

Novel method for order parameter of ferroelectric liquid crystals by image analysis

A novel method for temperature dependence of order parameter calculations at different wavelengths through birefringence measurements for ferroelectric liquid crystals (S)-(-)-2-methylbutyl 4′-(4″-n-alkanoyloxy benzoyloxy) biphenyl-4-carboxylates (where n?=?16 and 18) has been proposed using image analysis and linear regression method of Kuczynski equation. Measurements are made for its liquid crystal phases (SmecticC*, SmecticA) to the isotropic phase of the sample. The birefringence values of the samples at different wavelengths are obtained from the textural analysis of liquid crystal as a function of temperature using MATLAB software.