Simulation of photochemical processes and calculation of the quantum yields of isomerization reactions of substituted dienes

The possibility of construction of a semiempirical method for simulation of photochemical processes and calculation of the quantum yields of reactions has been studied. The practicability of the approach was exemplified with the photochemical transformations of some diene compounds into their cyclic isomers, namely, 2,4-dimethylpentadiene-1,3 → trimethylcyclobutene, 2,3-dimethylbutadiene-1,3 → dimethylcyclobutene, pentadiene-1,3 → 3-methylcyclobutene, cis-butadiene-1,3 → cyclobutene, and 2-methylbutadiene-1,3 → 1-methylcyclobutene. The calculated quantum yields of the reactions are in qualitative and quantitative agreement with experimental data.     

A method for simulation of photochemical processes and calculation of quantum yields of reactions

The possibility of construction of a semiempirical method for simulation of photochemical processes and calculation of quantum yields of reactions has been studied. The practicability of the approach was demonstrated for the o-xylene → m-xylene, m-xylene → p-xylene, m-xylene → o-xylene, and o-diethylbenzene → m-diethylbenzene photoisomerization reactions as an example. The calculated quantum yields of the reactions are in qualitative agreement with experimental data.     

Calculation of the quantum yield of the photochemical isomerization reaction → methoxybutadiene methoxycyclobutene

The methoxybutadiene → methoxycyclobutene photoisomerization process was simulated and the quantum yield of the product was calculated. The validity of the theoretical ideas and model concepts used in the proposed method for the calculation of quantum yields of photochemical reactions was confirmed. It was shown that the empirical parameter used in the model (broadening parameter) is stable in value and has the inherent property of transferability over a series of related molecules and analogous reactions. The cause of a substantial difference between the experimental quantum yields of reactions of the same type for a number of molecules bearing different substituents was revealed: this is a change in the form of vibrations and/or in the magnitude of structural rearrangement that directly involves the substituent.     

A simple model for predicting the course of photochemical reactions

The possibility of building and using a simplified model with constant (time-invariant) reaction probabilities for rapid simulation of photochemical processes with the required reliability of the prediction has been shown. A relation between the probabilities of transformations and fundamental molecular characteristics (optical transition probabilities and quantum beat frequencies referring to a nonradiative reaction transition) that can be quantitatively determined with a good degree of certainty has been revealed. For monomolecular isomerization reactions as an example, the attainable level of the accuracy of prediction by the simple model has been estimated, which has been shown to be ～10% in most cases. It is important that the prediction of the order of magnitude of the key characteristics of photochemical processes, such as quantum yield and the reaction rate, is definitely correct as is required in most applications of photochemistry.     

Photoexcitation of the potassium octacyanotungstate(IV)· 5–nitro-1,10–phenanthroline system: kinetics and mechanism of the reaction

The kinetics of thermal reactions of the photochemically-generated species [W(CN)7OH]4− and [W(CN)6–(CNH)(H2O)]2− with 5–nitro-1,10–phenanthroline (nitrophen) in basic and acidic media, respectively, were studied in buffer solutions at pH 4.2–10.6 and ionic strength 7.5×10−2kg−1 at 20°C. The quantum yield for the formation of the photoproduct was calculated and found to depend upon pH and the ligand and [W(CN)8]4− concentrations. The rate constants and quantum yields were less compared with 1,10–phenanthroline due to the electron-withdrawing inductive effect of the nitro group in nitrophen, which makes the latter a weaker ligand. The pseudo-first-order rate constant and quantum yield values in acidic media are higher than in basic media and the mechanisms of the photochemical substitution are different in the two media. This revised version was published online in June 2006 with corrections to the Cover Date.     

Photochromic dihetarylethenes

A series of new photochromic compounds were obtained for the first time from 1,2-bis(2-ethylthio-3-thienyl)perfluorocyclopentene by substituting bromine atoms or carboxy, alkoxycarbonyl, and carbamoyl groups for hydrogen atoms in positions 4 and 4′. Introduction of these substituents causes a slight bathochromic shift (by 20–30 nm) of a long-wavelength absorption band for the cyclic form and significantly increases the quantum yields of photocyclization Ф_A→B and ring opening Ф_B→A. Depending on the nature of a substituent, Ф_A→B decreases in the order COOH>COOMe>CONHAr. The quantum yields are markedly reduced when the ethylthio groups in positions 5 and 5′ are replaced by ethylsulfonyl groups (a tenfold reduction in Ф_A→B and a four- to fivefold reduction in Ф_B→A) The most considerable bathochromic shift of a long-wavelength band and the highest quantum yields of forward and reverse photoreactions were observed for 1,2-bis(4-bromo-2-ethylthio-3-thienyl) perfluorocyclopentene. 1,2- Bis (2-ethyl-5-ethylthio-4-methoxycarbonyl-3-thienyl)perfluorocyclopentene was structurally characterized by X-ray diffraction analysis.     

A modified method for calculating quantum yields of photochemical reactions

The previously proposed approach to calculation of quantum yields of photochemical reactions has been improved. The new version uses a different procedure of accounting for the asymmetry (anharmonicity) of potential wells of the molecules involved in the photochemical conversion. The form of a doubleminimum potential energy surface has been considered in a more correct manner. It has been shown that the number of model parameters is reduced by two thirds compared with the model used previously, adequately reflecting the characteristics of structural transformations of polyatomic molecules in which a relatively small part of the total number of coordinates are transformed. The quantum yields of photochemical transformations of six dienes into their cyclic isomers have been calculated. Quantitative agreement of the calculated values with the experimental data has been achieved for all the reactions. It has been shown that the model parameters have good transferability in a series of related molecules, thereby rendering the simulation of photochemical processes by the method in question predictive.     

Solvent effects on the electronic absorption spectrum of formamide studied by a sequential Monte Carlo/quantum mechanical approach

Sequential Monte Carlo/quantum mechanical calculations are performed to study the solvent effects on the electronic absorption spectrum of formamide (FMA) in aqueous solution, varying from hydrogen bonds to the outer solvation shells. Full quantum-mechanical intermediate neglect of differential overlap/singly excited configuration interaction calculations are performed in the supermolecular structures generated by the Monte Carlo simulation. The largest calculation involves the ensemble average of 75 statistically uncorrelated quantum mechanical results obtained with the FMA solute surrounded by 150 water solvent molecules. We find that the n → π* transition suffers a blueshift of 1,600 cm⁻¹ upon solvation and the π → π* transition undergoes a redshift of 800 cm⁻¹. On average, 1.5 hydrogen bonds are formed between FMA and water and these contribute with about 20% and about 30% of the total solvation shifts of the n → π* and π → π* transitions, respectively. The autocorrelation function of the energy is used to sample configurations from the Monte Carlo simulation, and the solvation shifts are shown to be converged values. Received: 14 March 2002 / Accepted: 3 April 2002 / Published online: 24 June 2002     

“Inversion substitution” reactions with participation of molecular oxygen: ZH<Subscript>3</Subscript>I + O<Subscript>2</Subscript> → O<Subscript>2</Subscript>ZH<Subscript>3</Subscript> + I (Z = C,Si). The potential energy surface and rate constants

A new class of reactions of molecular oxygen O₂ + ZH₃I → O₂ZH₃ + I (Z = C, Si) proceeding by the mechanism of “inversion substitution” was investigated by quantum chemistry methods and the transition state theory (TST). The profiles of the potential energy surfaces (PES) along the reaction coordinate and the characteristics of transition states were calculated using the DFT approach with the B3LYP hybrid functional and the DZVP basis set. The characteristics of the transition states were then used for TST calculations of the rate constants for the direct and reverse “inversion substitution” reactions and their temperature dependences in the temperature interval 273–2000 K. The activation barriers to the substitution reactions under study were found to be substantially lower than the barriers to the abstraction reactions O₂ + ZH₃I → ZH₂I + HO₂ (by 16.3 kcal mol⁻¹ for Z = C and by 7.2 kcal mol⁻¹ for Z = Si). The results obtained show that the “inversion substitution” reactions dominate over the abstraction reactions in the interaction of molecular oxygen with carbon- and silicon-centered iodides as well as (probably) many other substrates. Published in Russian in Izvestiya Akademii Nauk. Seriya Khimicheskaya, No. 9, pp. 1803–1807, September, 2008.     

A dynamical Lie algebraic mehtod for quantum reactive scattering

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Quantum trajectory method calculation of collinear collisions in the hydrogen exchange reaction H + ClH′ → HCl + H′

The quantum trajectory method was used to study the collinear reaction H + ClH′ → HCl + H′. The potential energy surface was calculated on the QCISD(T)/6-311++G(3df,3pd) level. The reaction probabilities are in good accord with the results obtained by solving the Schroedinger equation using the finite difference method. Translated from Teoreticheskaya i éksperimental’naya Khimiya, Vol. 45, No. 3, pp. 156-159, May-June, 2009.     

Dynamic NMR spectroscopy in studies of the kinetics of photoinduced chemical exchange in solutions

Modern NMR-based methods of studying the kinetics and mechanisms of reversible photochemical reactions in solutions are surveyed. Detailed consideration of peculiar features of the experimental techniques based on NMR lineshape analysis and double resonance NMR and used for the determination of the effective rate constants for and quantum yields of photoinduced chemical exchange processes is presented. Published in Russian in Izvestiya Akademii Nauk. Seriya Khimicheskaya, No. 10, pp. 1631–1641, October, 2006.     

Quantum-dynamical study in three-dimensional space of the exchange reaction H+ClH'→HCl+H' with zero total angular momentum $ \left( {\overrightarrow J = 0} \right) $

The 3D quantum dynamics of the exchange reaction H + ClH′→HCl+H′ with zero angular momentum was studied. The nonstationary Schr?dinger equation was solved by expansion into a basis set using discrete variable representation. The probabilities of the reaction were determined in relation to the total energy for the ground and first excited vibrational states.     

A quantitative prediction of the electronic spectra of thiocarbonyl chromophores: TD-DFT versus SAC-CI

In this contribution, we set up a SAC-CI methodology to evaluate the n → π* and π → π* vertical transition energies of a series of thiocarbonyl derivatives. We show that Frozen-Core SAC-CI provides accurate vertical excitations energies. Nevertheless, in order to obtain converged results, the R2S2 unliked integrals have to be taken into account in L3-SAC-CI calculations. In addition, we present the comparative performances of three computational procedures, INDO/S, TD-DFT, and SAC-CI, for the calculation of valence excited states energies and it turns out that: (1) no tuning of the exact exchange (α) included in TD-DFT allows to consistently reproduce the SAC-CI results; (2) SAC-CI and TD-B3LYP both evaluate the n → π*, as well as the π → π* transition energies, with a similar accuracy. Electronic supplementary material The online version of this article (doi:) contains supplementary material, which is available to authorized users.     

Photochemical reaction oftrans-di(α-naphthyl)ethylene with diphenylamine

Diphenylamine adds to the ethylene bond of excitedtrans-di(α-naphthyl)ethylene (1). Dependence of the quantum yields of mono- and bi-molecular reactions of1,cis-di(α-naphthyl)ethylene2, and dihydropicene3 on amine concentration was studied. On this basis and theoretical analysis of the kinetic scheme a conclusion was drawn that amine interacts with excited1 with a diffusion-limited rate but has no effect on the photochemical activity of2 and3. The reaction mechanism was discussed.     

Cycloreversion reactions for five to seven membered rings

The cycloreversion of the following ring systems was studied: (1) Cyclopentyl anion → allyl anion + ethylene, (2) Cyclohexene → butadiene + ethylene, (3) Cyclohept-4-enyl cation → butadiene + allyl cation. The potential energy surfaces of these reactions were investigated by the semiempirical MO method SINDO1 under inclusion of a 4 × 4 CI. All internal coordinates were varied. We found major differences in the nature and geometry of transition states and intermediates of these reactions. Diradical character is involved only in the fragmentation of the six membered ring.     

Simulation of photochemical reactions of butadiene and calculation of the quantum yields

The photochemical reactions of butadiene-1,3 have been simulated. The calculated quantum yields of the products quantitatively agree with experimental data (deviation from the experimental data in on average less than 30%). The efficacy of the method in predicting photochemical processes of various types (isomerization, decomposition) occurring simultaneously via different pathways has been shown. It has been confirmed that the quantum beat frequency of resonating states can be used as a parameter of the method and, as such, allows obtainable quantitative estimates to be refined.     

Photochemistry of arylhydrazides in solution

The photochemical reactions of arylhydrazides ArCONHN=CHR in solution were studied. The main photochemical process was shown to betrans-cis isomerization with a quantum yield of 0.2–0.8 and an activation energy of 21–24 kcal mol⁻¹. Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 4, pp. 662–664, April, 2000.     

乙烯和丙烯自由基共聚反应的多尺度模拟模型

结合量子化学和传统过渡态理论计算了乙烯和丙烯自由基聚合反应的速率常数.利用速率常数定义了聚合反应几率(Pijl),构造了乙烯和丙烯共聚合反应的粗粒化动力学模拟模型,并利用该模型研究了不同组成比的乙烯和丙烯的共聚合反应.发现反应速率常数和链端自由基周围的单体浓度都影响链上组分的序列分布.     

Solvent effects on the nπ* transition of pyrimidine in aqueous solution

A hybrid quantum mechanical and molecular mechanical potential is used in Monte Carlo simulations to examine the solvent effects on the electronic excitation energy for the n→π* transition of pyrimidine in aqueous solution. In the present study, the pyrimidine molecule is described by the semi-empirical AM1 model, while the solvent molecules are treated classically. Two sets of calculations are performed: the first involves the use of the pairwise three-point charge TIP3P model for water, and the second computation employs a polarizable many-body potential for the solvent. The latter calculation takes into account the effect of solvent polarization following the solute electronic excitation, and makes a correction to the energies determined using pairwise potentials, which neglects such fast polarization effects and overestimates the solute-solvent interactions on the Franck-Condon excited states. Our simulation studies of pyrimidine in water indicate that the solvent charge redistribution following the solute electronic excitation makes modest corrections (about −130␣cm⁻¹) to the energy predicted by using pairwise potentials. Specific hydrogen bonding interactions between pyrimidine and water are important for the prediction of solvatochromic shifts for pyrimidine. The computed n→π* blue shift is 2275±110 cm⁻¹, which may be compared with the experimental value (2700 cm⁻¹) from isooctane to water. Received: 14 January 1997 / Accepted: 21 February 1997