Experimental and calculation methods of studying the effect of second coordination sphere on standard rate constants of charge transfer for Cr(III)/Cr(II) redox couple in chloride melts

The cyclic voltammetry method was used to determine the standard rate constants of charge transfer (k _s) on a glassy carbon electrode for the Cr(III)/Cr(II) redox couple in the systems of NaCl-KCl-CrCl₃, KCl-CrCl₃, and CsCl-CrCl₃ in the temperature range of 973–1173 K. It was shown that k _s grows at an increase in the temperature and decreases as sodium cations are replaced by potassium and cesium cations in the second coordination sphere of chromium complexes. The calculations carried out using the PC GAMESS/Firefly quantum-chemical software by means of the DFT technique showed that the values of the charge transfer activation energy change monotonously in the series of Na-K-Cs in accordance with the ratio of reorganization energies. In its turn, this leads to monotonous variation of the charge transfer rate constants.     

Kinetics of the reduction of organic cations by cation radicals

It has been found that the reduction of substituted diazonium, iodonium, and tropylium salts by cation radicals of tetra-tert-butyl-bis-pyrylium, tetramethyl-p-phenylene diamine (I), tetraphenylbenzidine, and N-methylphenothiazine obey the kinetic equation of the second order and that it follows an electron transfer mechanism. The logarithms of the rate constants of these reactions decrease with increasing standard free energy of the electron transfer reaction. The rate of the reaction of C₆H₅N₂₊ BF₄ ^– with I and the selectivity of the reactions of the substituted diazonium salts with I increases with the electron donor capacity of the solvent. The addition of crown-ethers accelerates the reaction. The reaction rate increases also with increasing ionic strength of the solution, whereby the Cl^– anions have a specifically accelerating effect. The observed rules governing the influence of the medium contradict those found earlier for the interaction of organic cations with neutral radicals and anion radicals. This is attributed to the fact that the electron transfer takes place in ternary complexes cation-solvent (crown ether, Cl^– ion)-cation radical.Translated from Teoreticheskaya i Éksperimental'naya Khimiya, Vol. 21, No. 1, pp. 45–51, January–February, 1985.The authors wish to express their gratitude to V. V. Lobonov for tje performance of the quantum chemical calculations.     

Theoretical Study of the Inner/sphere Reorganization Energy and Activation Energy of Self/exchange Electron Transfer Reaction for M(H2O)26+/3+ (M=V, Cr, Mn, Fe and Co) Systems

通过建立电子转移过程的活化模型和重组模型, 提出了用量子化学从头算方法研究电子转移过程内层重组能和活化能的新方法. 在UMP26/311G水平上获得了5对过渡金属水合离子体系M(H     

溶液中M(H_2O)_6~(2+/3+)(M=V,Cr,Mn,Fe,Co)自交换电子转移体系内层重组能和活化能的理论研究

通过建立电子转移过程的活化模型和重组模型,提出了用量子化学从头算方法研究电子转移过程内层重组能和活化能的新方法．在ＵＭＰ２／６－３１１Ｇ水平上获得了５对过渡金属水合离子体系Ｍ（Ｈ２Ｏ）２＋／３＋６（Ｍ＝Ｖ,Ｃｒ,Ｍｎ,Ｆｅ,Ｃｏ）自交换反应的内层重组能和活化能,获得了与Ｍａｒｃｕｓ电子转移理论相一致的结果     

Study of the electron transfer reaction between [Co(EDTA)]− and [Ru(NH3)5py]2+ in methanol–water mixtures

The title reaction was studied in different water–cosolvent (methanol) mixtures. The results have been rationalized employing the Marcus–Hush treatment. To apply this treatment, the true, unimolecular, electron‐transfer rate constants (k_et) were obtained from the experimentally measured rate constants after calculation of the equilibrium constant for the processes of formation of the encounter complex. This calculation was carried out using Eigen–Fuoss (EF) and exponential mean spherical (EMSA) approaches employing effective values of the solvent dielectric constant. These effective values were obtained from the measured association constants corresponding to other ion pairs. The results reveal that in these media there is an additional component of reorganization energy, absent in neat solvents. An explanation of the origin of this component is given. © 2009 Wiley Periodicals, Inc. Int J Chem Kinet 41: 658–666, 2009     

电子转移溶剂重组能计算的自洽反应场新方法

基于非平衡溶剂化理论, 推导了用于非平衡溶剂化能数值计算的类导体屏蔽模型(COSMO)的相关公式. 在此基础上, 修改了HONDO99中COSMO模块, 并用以估算了[(CH₂)₂C]+—(CH₂)_n—C(CH₂)₂(n＝1～13)体系中的电子转移溶剂重组能. 结果表明, 溶剂重组能值与电子转移距离的倒数有很好的线性关系. 根据溶剂重组能数值解结果, 用新的双球模型给出了合理的给受体球半径.     

Studies on photoinduced H-atom and electron transfer reactions of o-naphthoquinones by laser flash photolysis

The quenching of the triplets of 1,2-naphthoquinone (NQ) and 1,2-naphthoquinone-4-sulfonic acid sodium salt (NQS) by various electron and H-atom donors was investigated by laser flash photolysis measurement in acetonitrile and benzene. The results showed that the reactivities and configurations of 3NQ* (3NQS*) are governed by solvent polarity. All the quenching rate constants (kq) measured in benzene are larger than those in acetonitrile. The SO3Na substituent at the C-4 position of NQS makes 3NQS* more reactive than 3NQ* in electron/H-atom transfer reactions. Large differences of kq values were discovered in H-atom transfer reactions for alcohols and phenols, which can be explained by different H-abstraction mechanisms. Detection of radical cations of amines/anilines in time-resolved transient absorption spectra confirms an electron transfer mechanism. Triplets are identified as precursors of formed radical anions of NQ and NQS in photoinduced reactions. The dependence of electron transfer rate constants on the free energy changes (DeltaG) was treated by using the Rehm-Weller equation. For the four anilines with different substituents on the para or meta position of amidocyanogen, good correlation between log kq values with Hammett sigma constants testifies the correctness of empirical Hammett equation. Charge density distributions, adiabatic ionization/affinity potentials and redox potentials of NQ (NQS) and some quenchers were studied by quantum chemistry calculation.     

Electron-transfer kinetics and activation barriers for the reductions of nitrosonium and nitronium ions in aprotic solvents

Using the cyclic voltammetry (CV), the electron-transfer kinetics for the reductions of NO⁺ and NO₂⁺ cations have been studied at the Pt electrode in nitromethane, sulfolane, and propylene carbonate. The heterogeneous rate constants have been determined by two independent procedures from the transfer coefficient α, the diffusion coefficient D, from a detailed examination of the CV-peak separations, and from an inspection of the values of the cathodic peak potentials at different scan rates. The results have been compared to those reported in the literature, and discussed. In the classical model, outer-sphere electron-transfer reactions are considered subject to an activation energy arising from solvent reorganization and bond reorganization processes. The solvent and molecular reorganizational barriers for these electroreductions have been assessed in aprotic media. The Marcus-Hush theory has been applied to the self-exchange reactions of the NO₂⁺/NO₂ and NO⁺/NO couples in an attempt to predict the rate of electron transfer. The findings indicate some improvement between theory and experiment. However, it should be noted that the experimental values of k_s found for the NO₂⁺ reduction in the solvents used are still too high in comparison with those determined theoretically. In view of the fairly strong coordination of the solvent molecule(s) as ligand(s) to NO₂⁺ and NO⁺ cations, we believe that such discrepancies should stem, to some extent, from the involvement of an inner-sphere pathway by generation of an activated complex on the surface of the Pt electrode. © 1993 John Wiley & Sons, Inc.     

Continuum of outer- and inner-sphere mechanisms for organic electron transfer. Steric modulation of the precursor complex in paramagnetic (ion-radical) self-exchanges

Transient 1:1 precursor complexes for intermolecular self-exchange between various organic electron donors (D) and their paramagnetic cation radicals (D+*), as well as between different electron acceptors (A) paired with their anion radicals (A-*), are spectrally (UV-NIR) observed and structurally (X-ray) identified as the cofacial (pi-stacked) associates [D, D+*] and [A-*, A], respectively. Mulliken-Hush (two-state) analysis of their diagnostic intervalence bands affords the electronic coupling elements (HDA), which together with the Marcus reorganization energies (lambda) from the NIR spectral data are confirmed by molecular-orbital computations. The HDA values are found to be a sensitive function of the bulky substituents surrounding the redox centers. As a result, the steric modulation of the donor/acceptor separation (rDA) leads to distinctive electron-transfer rates between sterically hindered donors/acceptors and their more open (unsubstituted) parents. The latter is discussed in the context of a continuous series of outer- and inner-sphere mechanisms for organic electron-transfer processes in a manner originally formulated by Taube and co-workers for inorganic (coordination) donor/acceptor dyads-with conciliatory attention paid to traditional organic versus inorganic concepts.     

Interaction of the excited singlet state of neutral red with aromatic amines

Quenching of neutral red (NR; neutral form of the dye) fluorescence by a number of aromatic amines has been investigated in acetonitrile solutions. The bimolecular quenching constants ( k _q) obtained from steady-state and time-resolved measurements for a particular donor–acceptor pair are seen to be the same within experimental error. Correlation of the changes in the k _q values with the oxidation potentials of the donors (amines) indicates that electron transfer (ET) is the mechanism operative in the present systems. Direct evidence for ET has been obtained from picosecond transient absorption studies on a suitable amine–NR pair. Experimentally determined k _q values are seen to correlate well with the free energy changes (Δ G ⁰) for the ET reactions, within the framework of the Marcus outer sphere ET theory. From the correlation between the experimentally determined and theoretically calculated k _q values, it appears that solvent reorganization plays a major role in governing ET dynamics in the systems investigated.     

Theoretically Rational Designs of Transport Organic Semiconductors Based on Heteroacenes

A Marcus electron transfer theory coupled with an incoherent polaron hopping and charge diffusion model in combining with first‐principle quantum chemistry calculation was applied to investigating the effects of heteroatom on the intermolecular charge transfer rate for a series of heteroacene molecules. The influences of intermolecular packing and charge reorganization energy were discussed. It was found that the sulphur and nitrogen substituted heteroacenes were intrinsically hole‐transporting materials due to the reduced hole reorganization energy and the enhanced overlap between HOMOs. For the oxygen‐substituted heteroacene, it was found that both the electronic couplings and the reorganization energies for holes and electrons were comparative, indicating the application potential of ambipolar devices. Most interestingly, for the boron‐substituted heteroacenes, theoretical calculations predicted a promising electron‐transport material, which is rare for organic materials. These findings provide insights into rationally designing organic semiconductors with specific properties.     

Measurement of the free-energy dependence of interfacial charge-transfer rate constants using ZnO/H2O semiconductor/liquid contacts

The dependence of electron-transfer rate constants on the driving force for interfacial charge transfer has been investigated using n-type ZnO electrodes in aqueous solutions. Differential capacitance versus potential and current density versus potential measurements were used to determine the energetics and kinetics, respectively, of the interfacial electron-transfer processes. A series of nonadsorbing, one-electron, outer-sphere redox couples with formal reduction potentials that spanned approximately 900 mV allowed evaluation of both the normal and Marcus inverted regions of interfacial electron-transfer processes. All rate processes were observed to be kinetically first-order in the concentration of surface electrons and first-order in the concentration of dissolved redox acceptors. The band-edge positions of the ZnO were essentially independent of the Nernstian potential of the solution over the range 0.106-1.001 V vs SCE. The rate constant at optimal exoergicity was observed to be approximately 10(-)(16) cm(4) s(-)(1). The rate constant versus driving force dependence at n-type ZnO electrodes exhibited both normal and inverted regions, and the data were well-fit by a parabola generated using classical Marcus theory with a reorganization energy of 0.67 eV. NMR line broadening measurements of the self-exchange rate constants indicated that the redox couples had reorganization energies of 0.64-0.69 eV. The agreement between the reorganization energy of the ions in solution and the reorganization energy for the interfacial electron-transfer processes indicated that the reorganization energy was dominated by the redox species in the electrolyte, as expected from an application of Marcus theory to semiconductor electrodes.     

Polymerization Initiated by Organic Electron Donors

Polymerization reactions with organic electron donors (OED) as initiators are presented herein. The metal‐free polymerization of various activated alkene and cyclic ester monomers was performed in short reaction times, under mild conditions, with small amounts of organic reducing agents, and without the need for co‐initiators or activation by photochemical, electrochemical, or other methods. Hence, OED initiators enabled the development of an efficient, rapid, room‐temperature process that meets the technical standards expected for industrial processes, such as energy savings, cost‐effectiveness and safety. Mechanistic investigations support an electron‐transfer initiation pathway that leads to the reduction of the monomer.     

Cyclopropyl conjugation and ketyl anions: when do things begin to fall apart?

Results pertaining to the electrochemical reduction of 1,2-diacetylcyclopropane (5), 1-acetyl-2-phenylcyclopropane (6), 1-acetyl-2-benzoylcyclopropane (7), and 1,2-dibenzoylcyclopropane (8) are reported. While 6*- exists as a discrete species, the barrier to ring opening is very small (<1 kcal/mol) and the rate constant for ring opening is >10(7) s(-1). For 7 and 8, the additional resonance stabilization afforded by the benzoyl moieties results in significantly lower rate constants for ring opening, on the order of 10(5)-10(6) s(-1). Electron transfer to 8 serves to initiate an unexpected vinylcyclopropane --> cyclopentene type rearrangement, which occurs via a radical ion chain mechanism. The results for reduction of 5 are less clear-cut: The experimental results suggest that the reduction is unexceptional, with a symmetry coefficient alpha 相似文献   

Inner Sphere Reorganization Energy for the Electron Transfer Reactions between M-C_6H_6 and M~ -C_6H_6 Complexes in Gaseous phase: An ab initio Computation

IntroductionTheelectrontransfer(ET)reactionisanfundamentalchemicalprocessandhasbecomethefocusoftheoreticalandexperimentalstudies1-3.AsuitableapproachtowardunderstandingtheETreactivitypatternsistoseparatethevariouscontributionsintoexponentialandpre-exponentialfactors.Theexponentialparts,i.e.,theFrank-Condonfactor,isacompositeofthestructuralreorganizationofthereactingsystemimmediate1yaftertheelectrontransfered.Basedonthecharacteristicsofthereactingsystem'sstructure,thereorganizationenergy(RE…     

Solvent Reorganization Energy and Electronic Coupling for Intramolecular Electron Transfer in Biphenyl-Acceptor Anion Radicals

A novel algorithm was designed and implemented to realize the numerical calculation of the solvent reorganization energy for electron transfer reactions, on the basis of nonequilibrium solvation theory and the dielectric polarizable continuum model. Applying the procedure to the well-investigated intramolecular electron transfer in biphenyl-androstane-naphthyl and biphenyl-androstane-phenanthryl systems, the numerical results of solvent reorganization energy were determined to be around 60 kJ/mol, in good agreement with experimental datKoopman's theorem was adopted for the calculation of the electron transfer coupling element, associated with the linear reaction coordinate approximation. The values for this quantity obtained are acceptable when compared with experimental results.     

The use of calculated reorganization energies in experimental electrochemical kinetics

Calculated reorganization energies in solution using the polarizable continuum model implemented in Gaussian 03 are compared to experimental values of the heterogeneous rate constants for the reduction of a wide variety of neutral molecules in dimethylformamide. The calculated reorganization energies are fully consistent with the experimental data; the computational procedure may in fact be quite useful for estimating the reorganization energies for outer-sphere electrochemical reactions. From the comparison between the calculated reorganization energy values and the experimental values for the heterogeneous rate constants, the adiabaticity of the redox couples' is discussed.     

Binuclear Robson type Ni(ii) complex as a reactant supplementing our knowledge of the orientation effects in electrochemical kinetics

The multistep reduction of a binuclear Ni(ii) Robson-type complex with a multidentate template-like organic ligand (formed from 4-tert-butyl-2,6-diformylphenol and 1,3-diaminopropane), Ni(2)L, is studied using the electron photoemission technique. The number of transferred electrons corresponding to a single reduction wave is found to be 8 per complex species. This value is attributed to both complete Ni(ii) reduction (with Ni metal formation) and ligand reduction. Contributions of Ni(ii) and ligand to acceptor orbital were estimated. Three initial subsequent steps correspond to electron transfer to mixed metal-ligand orbital with comparable contributions. For more deep reduction, ligand contribution predominates. The first single-electron step is evidenced to be rate-determining, with the rate constant of 0.03 cm(2) s(-1). The latter value is discussed in the framework of a semiquantitative analysis of the rate constants estimated in the framework of quantum-mechanical electron transfer theory for different orientations of Ni(2)L in the reaction layer. The analysis includes estimations of key kinetic parameters (electronic transmission coefficient, solvent- and intramolecular contributions to the total reorganization energy) which strongly rest on the results of quantum chemical modeling. The transmission coefficients at realistic electrode-reactant distances of the closest approach are below 0.001. This means that despite of the noticeable delocalization of Ni(2)L acceptor orbital, the electron transfer is diabatic. Predominating contribution to reorganization energy results from solvent and does not exceed 0.5 eV for any reactant orientation. The highest reactivity is predicted for a planar orientation located mostly outside the compact part of electric double layer. The Ni(2)L adsorption in planar and vertical orientations on mercury is addressed as well. The results give a clear explanation of the previously observed self-inhibition of "dark" reduction of Ni(2)L on mercury and independent data on the adsorption of these species. The discovered combination of various orientation effects is compared with effects observed for other reactants.     

吩噻嗪与四甲基哌啶氧铵正离子的电子转移反应动力学研究

以Marcus半经典电子转移理论为基本框架, 改进了重组能的计算方法, 建立了一套研究自交换和交叉电子转移反应的理论方案。用密度泛函理论和半经验分子轨道理论具体研究了四甲基哌啶氧铵正离子与吩噻嗪在乙腈溶液中的交叉电子转移反应以及相应的2个自交换反应的动力学性质, 计算了反应的活化能、重组能、耦合矩阵元等有关参数,获得了和实验结果相一致的电子转移速率常数。     

Electron transfer in self-assembled orthogonal structures

Two new molecular dyads, comprising pyrromethene (bodipy) and 2,2':6',2"-terpyridine (terpy) subunits, have been synthesized and fully characterized. Absorption and fluorescence spectral profiles are dominated by contributions from the bodipy unit. Zinc(II) cations bind to the vacant terpy ligand to form both 1:1 and 1:2 (cation:ligand) complexes, as evidenced by X-ray structural data, NMR and spectrophotometric titrations. Attachment of the cations is accompanied by a substantial decrease in fluorescence from the bodipy chromophore due to intramolecular electron transfer across the orthogonal structure. At low temperature, nuclear tunneling occurs and the rate of electron transfer is essentially activationless. However, activated electron transfer is seen at higher temperatures and allows calculation of the corresponding reorganization energy and electronic coupling matrix element. In both cases, charge recombination is faster than charge separation.