微圆盘电极上耦合一级均相反应的稳态电流

在电极表面反应物浓度均匀的近似假设下, 得到了微圆盘电极上暂态可逆反应的一般解. 然后利用该一般解得到了微圆盘电极上耦合一级均相反应的可逆电极反应CE、EC、EC′和ECE 的稳态电流计算公式.     

Mass transfer to tubular electrodes: ECE process

The mathematical model of mass transport for linear sweep voltammetry under hydro-dynamic conditions at tubular electrodes has been studied for ECE processes in which an irreversible chemical reaction is coupled between two reversible charge transfer reactions. The resulting boundary value problem is converted into system of two integral equations, which is solved numerically. The effects of axial flow rate, scan rate, potential difference, variation of chemical reaction rate and the effect of the ratio of number of electrons (n ₂/n ₁) involved in two charge transfer reactions on CV-voltammograms are investigated and shown graphically.     

Kinetics of free-radical decay reactions in polymeric solids

Kinetic equations for the decay of the free radicals in polymeric solids are given for the following assumptions on which they are based: (1) two simultaneous first-order but physically separated decay reactions; (2) two simultaneous noninteracting second-order decay reactions; (3) combined simultaneous but intermingled first- and second-order decay reactions; (4) the same but for independent, i.e., not intermingled, first- and second-order decay reactions; (5) a second-order decay reaction in the presence of some free radicals that do not decay; and (6) a first-order decay reaction in the presence of some free radicals that do not decay. In all of the above physical systems the total concentration only can be measured. Hence the above kinetic equations refer to the change of the total concentration with time. It is found that the data for the decay of the free radicals in irradiated isotactic polypropylene and 61% styrene-39% butadiene block copolymer agree best with the equations for the second-order decay in the presence of a fraction of nondecaying free radicals.     

Study of the electrocaloric effect in ferroelectric liquid crystals

ABSTRACT

Electrocaloric effect (ECE) in two ferroelectric liquid crystalline (FLC) materials has been evaluated by mean of two indirect characterization methods: the photopyroelectric (PPE) technique and the polarization current reversal one. The obtained results show a good correspondence of the adiabatic temperature change associated with the ECE evaluated from both methods. This validates the possibility to use the PPE technique to investigate the ECE in FLCs. This study also demonstrates that FLCs can be used as electrocaloric material. More particularly, it shows that as for their solid homologous, liquid crystals displays more pronounced ECE in the vicinity of a first order transition than that measured near to second-order one.     

Understanding supported reactions in spherical compartments: a general algorithm to model and determine rate constants, diffusion coefficients, and spatial product distributions

A general algorithm allowing the numerical modeling of the time and space dependence of product formation in spherical reaction volumes is described. The algorithm is described by the complete set of mass balance equations. On the basis of these equations, the effects of the diffusion coefficient, reaction rate, bead size, reagent excess, and packing density of the resin beads on the overall reaction rates are determined for second-order reactions. Experimental data of reaction progress are employed to calculate reaction rates and diffusion coefficients in polymer-supported reactions. In addition, the conditions for shell-like product formation are determined, and various strategies for the radial patterning of resin beads are compared. The effect of diffusion on polymer-supported enzyme-catalyzed reactions of the Michaelis-Menten type is treated, as well. Finally, the effects of typical nonideal solid-phase phenomena, namely, the inhomogeneity of rate constants and the concentration dependence of diffusion coefficients, on overall rates are discussed.     

Anodic hydroxylation of 1-carbomethoxy-1,2,3,4-tetrahydrocarbazoles

1-Carbomethoxy-1,2,3,4-tetrahydrocarbazole (1) and its 7-methoxy derivative (2) were oxidized at carbon felt anodes in acetonitrile containing 0.2 M LiClO₄ and 2-17 M water at potentials on the rising portion of the primary oxidation peak to yield products formed by formal substitution of the C-1 H atom with hydroxide. The resulting 1-hydroxy-l-carbomethoxy-1,2,3,4-tetrahydrocarbazole and its 7-methoxy derivative were isolated in 44 and 22% yields, respectively, when sodium bicarbonate was used to control acidity of the medium. Structures were elucidated by NMR, IR, elemental analysis, and mass spectrometry. Voltammetry at carbon-paste and glassy carbon electrodes showed that the oxidations proceed by an ECE or DISPI pathway. The rate-determining step is the reaction of water with a cation radical electrochemically generated from 1 or 2, involving either proton abstraction or nucleophilic addition.     

Electrochemical hydrogenation of aromatic hydrocarbons: Discrimination between ECE and disproportionation mechanisms by double potential step chronoamperometry

The electrochemical hydrogenation of anthracene and naphthalene is investigated with the aim of determining if the second electron transfer following the protonation of the anion radical occurs predominantly at the electrode (ECE) or in the solution (DISP). It is shown that double potential step chronoamperometry is a particularly sensitive method for discriminating between the two mechanisms. Indeed, a characteristic hump appears on the anodic trace in the case of ECE and not of DISP. Application of the method to the reduction of the two hydrocarbons in DMF in the presence of phenol confirms that anthracene hydrogenation follows a DISP mechanism. This is also the case for naphthalene which was previously thought to undergo an ECE-type reduction. The rates of protonation of the anion radical are derived from the ratio of the anodic to cathodic current intensities. Thus is confirmed by the statement that, in organic reactions, ECE mechanisms do not occur under conditions where they could be directly characterized by electrochemical kinetic techniques, i.e. when the system can be made at least partially reversible. The grounds and conditions of validity of this rule are discussed. For very irreversible systems, irreversibility arising from the rapidity of the chemical step and/or slowness of mass transfer, ECE reaction pathways may be followed. Indirect approaches for their characterization in such conditions are discussed.     

Studies on Thermokinetics——Thermokinetic Method for Second Order Reactions

On the theoretical basis of thermokinetics,the dimensionless parameter method for second-order reactions is suggested in this paper.Through thermokinetic studies of two reaction systems,the fundamental equations of thermokinetic method for second-order reactions were verified.     

Voltammetric analysis of the possibility of derivatization of levodopa in the presence of aniline derivatives

Electrochemical oxidation of levodopa (LD) as one of the most well-known neurotransmitters has been studied in the presence of some aniline derivatives. The electron transfer of LD is followed by two competitive reactions in the presence of these amines. The reactions are the Michael additions of side chain amine group of LD and/or aromatic amines to electrochemically generated o-quinone. There are two ECE mechanisms for both pathways and the competition between these inter and intramolecular reactions drastically depends on the pH of the medium. The pH dependence of reactions has been studied and the observed homogeneous rate constants of the reactions were estimated by digital simulation of cyclic voltammograms. The effect of aniline substituents was also studied with regard to their reactivities toward o-quinone of LD and the competitive reactions. Based on the obtained results, the products of intermolecular reactions are electroactive diphenylamine derivatives and their half-wave potentials depend on the nature of the aniline substituent.     

A study of the accuracy of moment-closure approximations for stochastic chemical kinetics

Moment-closure approximations have in recent years become a popular means to estimate the mean concentrations and the variances and covariances of the concentration fluctuations of species involved in stochastic chemical reactions, such as those inside cells. The typical assumption behind these methods is that all cumulants of the probability distribution function solution of the chemical master equation which are higher than a certain order are negligibly small and hence can be set to zero. These approximations are ad hoc and hence the reliability of the predictions of these class of methods is presently unclear. In this article, we study the accuracy of the two moment approximation (2MA) (third and higher order cumulants are zero) and of the three moment approximation (3MA) (fourth and higher order cumulants are zero) for chemical systems which are monostable and composed of unimolecular and bimolecular reactions. We use the system-size expansion, a systematic method of solving the chemical master equation for monostable reaction systems, to calculate in the limit of large reaction volumes, the first- and second-order corrections to the mean concentration prediction of the rate equations and the first-order correction to the variance and covariance predictions of the linear-noise approximation. We also compute these corrections using the 2MA and the 3MA. Comparison of the latter results with those of the system-size expansion shows that: (i) the 2MA accurately captures the first-order correction to the rate equations but its first-order correction to the linear-noise approximation exhibits the wrong dependence on the rate constants. (ii) the 3MA accurately captures the first- and second-order corrections to the rate equation predictions and the first-order correction to the linear-noise approximation. Hence while both the 2MA and the 3MA are more accurate than the rate equations, only the 3MA is more accurate than the linear-noise approximation across all of parameter space. The analytical results are numerically validated for dimerization and enzyme-catalyzed reactions.     

The effect of 19-electron formation constants on the electrochemistry and electron transfer induced substitution reactions of cyclopentadienylmetal halide complexes

The reduction of cyclopentadienylmetal halide complexes is generally considered to involve addition of an electron to an orbital that is antibonding with respect to the metal-halide bond. Subsequent metal-halide bond cleavage yields the halide and an organometallic radical. At inert electrodes, this radical is reduced further to an 18-electron anion. This series of reactions constitutes a prototypical ECE mechanism. Chemical reduction can be used to divert the radical into other pathways such as electron transfer chain catalyzed substitution. Attempts to initiate such reductively induced substitution reactions of CpFe(CO)₂I and Cp′Mo(CO)₃I give very different results, suggesting that these very similar complexes are reduced via substantially different mechanisms. Very likely, the molybdenum complex reacts via a DISP mechanism instead of ECE. The difference in electrochemical reduction mechanism as well as the different reactivity toward reductively induced substitution are explained in terms of a difference in the formation constants of 19-electron intermediates.     

Mechanistic study of homogeneous reactions coupled with electrochemical oxidation of catechols

The electrochemical oxidation of catechols was described and has shown that these compounds can be oxidized to related o-benzoquinones. The electrochemically generated o-benzoquinones are quite reactive and can be attacked by a variety of nucleophiles under various mechanistic disciplines such as CE, EC, EC′, ECE, ECEC, ECEC ₂, ECECE, ECECEC, ECECECE and trimerization, in which E represents an electron transfer at the electrode surface, and C represents a homogeneous chemical reaction. The mechanistic pathways and final products are depending on some parameters such as electron withdrawing or donating properties of nucleophile, electrolysis medium (solvent, acidity or pH) and nature of catechol.     

多硝基四面体烷结构和性能的理论研究

在B3LYP/6-31G**水平下, 对四种四面体烷硝基衍生物进行理论研究. 基于全优化构型, 计算其红外光谱(IR)、热力学性质; 通过设计合理等键反应计算其气相生成热(HOF); 运用Kamlet-Jacobs方程估算其爆速(D)和爆压(p); 通过计算和比较各化合物的两种可能引发键(C—C和C—N)离解能(EC—C和EC—N), 确认该系列化合物的热解引发键和热稳定性. 讨论了各性能参数与其结构参数的关系. 兼顾高能量密度化合物(HEDC)的能量性质和稳定性要求, 最终认为该系列化合物不可作为潜在HEDC.     

Pulse polarography: Part VII. Theoretical relationships for electrode processes with an ECE mechanism

A theoretical study of the pulse polarographic response for the instantaneous limiting current with an ECE mechanism is presented. Thus, equations for the current have been derived under the following conditions: (a) Both the expanding plane electrode and the expanding sphere electrode models have been accounted. (b) The steady-state approximation was not used. (c) All species are initially present in the solution. With these conditions we have: (a) proposed a method for the calculation of the rate constant values through measurements of instantaneous limiting currents; (b) shown that the interval of the rate constant values that can be determined is about 10³ times larger than in dc polarography; (c) checked the validity of the steady-state approximation.     

Mechanistic study of electrochemical oxidation of 2,5-dihydroxybenzoic acid and 3,4-dihydroxybenzaldehyde in the presence of 3-hydroxy-1H-phenalene-1-one

The mechanism of the electrochemical oxidation of 2,5-dihydroxybenzoic acid and 3,4-dihydroxybenzaldehyde in the presence of 3-hydroxy-1H-phenalene-1-one as a nucleophile has been studied in water/acetonitrile (80/20 v/v) solution using cyclic voltammetry and controlled-potential coulometry methods. The results indicate that the quinones derived from oxidation of 2,5-dihydroxybenzoic acid and 3,4-dihydroxybenzaldehyde participate in Michael addition reactions with 3-hydroxy-1H-phenalene-1-one and via ECE and ECEC mechanisms convert to the different products, with good yield under controlled potential conditions, at carbon electrode.     

Geometrical linear responses and directional energy derivatives for energetically degenerate MCSCF electronic functions

Summary For state-averaged multiconfigurational self consistent field (SA-MCSCF) wave functions, second-order geometrical response equations are derived that allow the determination of first-order configuration amplitude response for equally weighted, energetically degenerate states. The first-order response equations obtained in earlier work do not suffice to determine these particular responses parameters. To formulate such a derivation in a well defined manner, it is found that a specific linear combination of the degenerate states must be formed; this specific combination of states then defines how state energies and wave functions evolve as one passes through the surface intersection. The linear combination among the degenerate states is dependent upon the molecular distortion for which the responses are to be evaluated. Expressions for first- and second-order directional energy derivatives for these energetically degenerate wave functions are also derived. All the equations obtained are computationally tractable and expressed in terms of quantities that result from optimizing the SA-MCSCF wave functions and from solving the first- and part of the second-order geometrical response equations.     

Numerical Modeling of ECE‐ECE and Parallel EE‐EE Mechanisms in Cyclic Voltammetry. Reduction of 1,4‐Benzenedisulfonyl Difluoride and 1,4‐Naphthalenedisulfonyl Difluoride

A numerical model of the process where the ECE‐ECE sequence competes with the parallel EE‐EE mechanisms of reduction has been developed. The ECE‐ECE / EE‐EE model was applied to complex, experimentally observed processes, in which the parallel path of anion‐radical reduction could be expected. The applicability of the proposed model was examined experimentally for two chemical systems: (i) 1,4‐benzenedisulfonyl difluoride (1,4‐BDF) and (ii) 1,4‐naphthalenedisulfonyl difluoride (1,4‐NDF). For both model compounds the reduction processes on Hg and glassy carbon electrodes were investigated by means of cyclic voltammetry performed in DMF solutions containing 0.3 M of TBAP. In contrast to other reductive cleavage reactions such as the fragmentation of the C‐Hal–type bond, the electro‐reduction of anion‐radicals ArSO₂F^?. was evident. The elementary kinetic parameters of the process are determined and discussed.     

Applicability of the quasi-adiabatic enthalpimetric method for the study of chemical kinetics

The thermal quasi-adiabatic method and the non-adiabatic one are compared for the study of chemical kinetics. With thermistors as temperature-sensitive elements, and a very simple apparatus, moderately fast reactions (with t(1 2 ) down to 2 sec) and consecutive reactions can be followed, and mixtures analysed with good accuracy. The reproducibility is satisfactory over a wide range of experimental conditions. The calculation of the kinetic parameters, for both first-and second-order kinetics is very simple and requires no calibration of the system. Application of the technique to the study of the alkaline hydrolysis of some alkyl acetates is described.     

Electroanalytical simulations. Orthogonal collocation simulation of fast second-order chemical reactions coupled to an electron transfer with a heterogeneous equivalent formulation

The combination of orthogonal collocation and the heterogeneous equivalent technique is extended to simulate cyclic voltammograms of fast second-order follow-up reactions coupled to an electron transfer at an electrode surface. The $\text{ED}$ (reversible electron transfer with irreversible follow-up dimerization) and $\text{EC}$₂ (reversible electron transfer with irreversible second-order follow-up reaction) models are considered. The non-linear boundary equations are solved numerically. No linear approximation of the concentration profiles is required. The use of non-linear space coordinate transformations is described. Peak potential and peak current function results are compared with literature values and agreement is found. The transition between the second-order $\text{EC}$₂ and the corresponding first-order mechanisms is discussed.