Electric field dependence of recombination kinetics in reaction centers of photosynthetic bacteria

Time-resolved charge recombination has been measured by reflectance/absorption spectroscopic analysis of Langmuir-Blodgett films of reaction centers of the photosynthetic bacterium, Rhodopseudomonas sphaeroides over a wide range of applied electric field strengths. The field dependence of the recombination kinetics has been deduced from the time-course of the reduction of the flash-oxidized bacteriochlorophyll dimer [(BChl)⁺₂] recorded at different applied field strengths. Measurements were performed under two different electric field biasing conditions: a constant bias and a high-frequency bipolar square-wave bias. The additional data obtained from bipolar biasing enabled the use of a new deconvolution method to obtain the field dependence of the rate constants from the experimental curves. The deconvolution shows that the rates for charge recombination from the flash-generated state back to the ground state (BChl)₂Q_A approximate exponential functions of the applied electric field. Correlation of the recombination kinetics data with photoinduced electrical response measurements on films with asymmetric up and down populations of reaction centers reveals that fields opposing charge separation result in faster rates of recombination. Although other possibilities are considered, the main source of the effect is believed to be a result of field-induced changes in the free energy gap between and (BChl)₂Q_A. The results presented here are compared to those obtained in experiments with solubilized reaction centers in which the free energy gap between and (BChl)₂Q_A has been changed by quinone replacement.     

Magnetic field effects on the recombination of radical ions in reaction centers of photosynthetic bacteria

The amount of triplet products formed upon recombination of the bacteriochlorophyll dimer cation and the bacteriopheophytin anion in modified bacterial reaction centres can be manipulated by external magnetic fields. Making use of this effect, two methods provide information about structural and dynamic properties of the reaction centre. The two methods differ in that one (MARY) uses low static magnetic fields (0 ? B₀ < 1 kG) whereas the other (RYDMR) uses microwaves and high static fields (B₀ > 1 kG). As is shown here the two methods are equivalent from a theoretical point of view, the interpretation of experimental spectra being equally involved in both cases.     

Effect of the relaxation of high-frequency vibrational modes on the kinetics of charge separation and recombination

The processes of intramolecular electron transfer from the second excited electron state accompanied by superfast reverse transfer to the first excited state are studied. The kinetics of the populations of the first and second excited states, along with that the charge-separated states, is calculated within the generalized stochastic model, taking into account the reorganization of the medium and intramolecular high-frequency vibrations. It is shown that variations in the relaxation rate of the high-frequency vibrational modes can change the population of the quenching products by a factor of two to three. It is established that in the case of the weak exothermicity of the charge separation process, the population of the charge-separated states declines upon an increase in the vibrational relaxation rate, while the population of the first excited state increases; in the region of high exothermicity, these dependences change to ones that are opposite. To reveal the scales of these effects in real systems, the kinetics of the photo-induced processes in the zinc-porphyrin derivatives, including electron-acceptor imide groups covalently coupled with porphyrin rings, are calculated. It is shown that the results from calculating the kinetics of the population of the first and the second excited states agree well with the experimental data on the kinetics of the fluorescence of these states. The absolute values of the population of the charge-separated state and the first excited state are determined. The key role of the hot electron transitions that occur in parallel with the relaxation of the medium and intramolecular vibrations in the considered process is shown.     

Electron-cation recombination in rigid organic glasses: simulation of charge distribution and isothermal luminescence kinetics

Recent results on isothermal luminescence decays, observed from 10^?8 to 10⁴ s after irradiation of a rigid glass at 77 K, are interpreted in terms of tunnelling electron-ion recombination. After 10^?6 s, recombination of isolated pairs is dominant. Electron-ion distance distributions are obtained by computer simulation and used to calculate the corresponding decay kinetics I(t). I(t) ∝ t^?1.0 is found with realistic chosen parameters throughout the whole time range investigated experimentally, so that tunnelling recombination is quantitatively consistent with observation. Experimental study at shorter times (10^?8-10^?6 s) indicates a contribution from recombinations of pairs which are not isolated. A very simple computer simulation of these effects is proposed and shown to agree with experiment.     

Computer simulation of charge recombination in model tracks of high-energy electrons in nonpolar liquids; kinetics and escape

The evolution in time of the recombination of ions in model tracks and spurs produced by high-energy electrons was calculated by computer simulation of the diffusion and drift of the ions in each other's Coulomb field. Tracks of high-energy electrons are subdivided into tracks of secondary electrons that can be considered as independent one from another. Energy losses smaller than 50 or 100 keV are assumed to give rise to correlated groups of charges. The diffusion and recombination in the groups is directly simulated. For electrons with an initial energy in excess of 50 or 100 keV calculations are performed by summing the contributions of energy losses below this value. The nonhomogeneous kinetics of the charge recombination has been studied for both the short-time and long-time domains. The survival probability as a function of time, W(t), has been calculated for the charged species in electron tracks with different initial energy of the electron, for gaussian and exponential distributions of the initial distance between the positive and the negative species. The behaviour of W(t) and comparisons with the available short-time experimental data do not provide any clear distinction between the two distributions. The behaviour of W(t) at long times was also investigated in detail. The region of applicability of the theoretical limiting behaviour t^−0.5 was checked and found to be very small. The experimentally observed behaviour t^−0.6 was critically examined. Results are obtained for the probability of ion escape from recombination in the track as a function of the initial energy of the electron. The experimentally observed decrease of the yield of escape with decreasing energy of the electron for two liquids is adequately explained.     

Entropic changes control the charge separation process in triads mimicking photosynthetic charge separation

Laser-induced optoacoustic spectroscopy (LIOAS) measurements with carotene-porphyrin-acceptor "supermolecular" triads (C-P-A, with A = C60, a naphthoquinone NQ, and a naphthoquinone derivative, Q) were carried out with the purpose of analyzing the thermodynamic parameters for the formation and decay of the respective long-lived charge separated state C*+-P-A*-. The novel procedure of inclusion of the benzonitrile solutions of the triads in Triton X-100 micelle nanoreactors suspended in water permitted the separation of the enthalpic and structural volume change contributions to the LIOAS signals, by performing the measurements in the range 4-20 degrees C. Contractions of 4.2, 5.7, and 4.2 mL mol-1 are concomitant with the formation of C*+-P-A*- for A = C60, Q and NQ, respectively. These contractions are mostly attributed to solvent movements and possible conformational changes upon photoinduced electron transfer, due to the attraction of the oppositely charged ends, as a consequence of the giant dipole moment developed in these compounds upon charge separation ( approximately 110 D). The estimations combining the calculated free energies and the LIOAS-derived enthalpy changes indicate that entropy changes, attributed to solvent movements, control the process of electron transfer for the three triads, especially for C-P-C60 and C-P-Q. The heat released during the decay of 1 mol of charge separated state (CS) is much smaller than the respective enthalpy content obtained from the LIOAS measurements for the CS formation. This is attributed to the production of long-lived energy storing species upon CS decay.     

Temperature dependence of charge recombination in Heliobacillus mobilis

Transient absorption difference spectroscopy was used to study the temperature dependence of the P798+ decay kinetics in heliobacteria. For membrane samples, two components were obtained from the fitting of kinetic traces in the temperature range of 4-29 degrees C. A 3-9 ms component representing the cytochrome (cyt) c oxidation has an activation energy of 33.0 +/- 2.8 kJ/mol. A 12-22 ms component representing either P798+FX- or P798+FA/B- recombination has an activation energy of 15.3 +/- 2.4 kJ/mol. In isolated reaction centers (RC), only one 14 ms component due to P798+FX- recombination was obtained in this temperature range. The Arrhenius plot shows that the recombination rate of this P798+FX- state is temperature independent in the near room temperature range. For RC in the temperature range of 60-298 K, a 12-15 ms decay was obtained at temperatures greater than 240 K. Biphasic decay traces (12-15 ms and 2-4 ms components) were obtained at temperatures between 170 K and 230 K. Only one 2-4 ms component was found at temperatures lower than 160 K. The gradual switchover from the 12-15 ms to the 2-4 ms component upon cooling may indicate the shift of the P798+FX- recombination state to a state that is prior to P798+FX-, although other interpretations can not be excluded. The absorption difference spectrum (delta A @ 160 K - delta A @ 240 K) in the blue region shows a positive amplitude below 405 nm and a negative amplitude above 405 nm implying that the 2-4 ms decay component may be due to the recombination of P798+A1-, where A1 is a quinone-type acceptor.     

The effect of selective contact electrodes on the interfacial charge recombination kinetics and device efficiency of organic polymer solar cells

Organic polymer solar cells (OPSCs) have been prepared using TiO(x) metal oxides as selective electrodes for electron collection. The interfacial charge transfer reactions, under working conditions, that limit the energy conversion efficiency of these devices have been measured and compared to the standard OPSC geometry which collects the electrons through a low work function metal contact.     

Charge recombination versus charge separation in donor-bridge-acceptor systems

Optimizing the ratio of the rates for charge separation (CS) over charge recombination (CR) is crucial to create long-lived charge-separated states. Mastering the factors that govern the electron transfer (ET) rates is essential when trying to achieve molecular-scale electronics, artificial photosynthesis, and also for the further development of solar cells. Much work has been put into the question of how the donor-acceptor distances and donor-bridge energy gaps affect the electronic coupling, V(DA), and thus the rates of ET. We present here a unique comparison on how these factors differently influence the rates for CS and CR in a porphyrin-based donor-bridge-acceptor model system. Our system contains three series, each of which focuses on a separate charge-transfer rate-determining factor, the donor-acceptor distance, the donor-bridge energy gap, and last, the influence of the electron acceptor on the rate for charge transfer. In these three series both CS and CR are governed by superexchange interactions which make a CR/CS comparative study ideal. We show here that the exponential distance dependence increases slightly for CR compared to that for CS as a result of the increased tunneling barrier height for this reaction, in accordance with the McConnell superexchange model. We also show that the dependence on the tunneling barrier height is different for CS and CR. This difference is highly dependent on the electron acceptor and thus cannot solely be explained by the differences in the frontier orbitals of the electron donor in these porphyrin systems.     

Picosecond geminate charge pair recombination in liquid hexane

We review recent measurements of the recombination kinetics of geminate cation-electron pairs produced by two-photon ionization of anthracene and benzene in liquid hexane at temperatures from 191 to 296 K. Two techniques, infrared-stimulated conductivity and transient absorption by geminate electrons are compared and found to agree reasonably well. The time-dependent diffusion theory of geminate charge pair recombination is shown to provide a satisfactory fit to the decay kinetics.     

Some symmetry-induced isotope effects in the kinetics of recombination reactions

Symmetry-induced isotope effects in recombination and collision-induced dissociation reactions are discussed. Progress on understanding the anomalous isotope effects in ozone is reviewed. Then, calculations are performed for the simpler reaction xNe+yNe+H<-->xNeyNe+H, where x and y label either identical or different isotopes. The atomic masses in the model are chosen so that symmetry is the only difference between the systems. Starting from a single potential energy surface, the properties of the bound, quasibound, and continuum states of the neon dimer are calculated. Then, the vibration rotation infinite order sudden approximation is used to calculate cross sections for all possible inelastic and dissociative processes. A rate constant matrix that exactly satisfies detailed balance is constructed. It allows recombination to occur both via direct three-body collisions and via tunneling into the quasibound states of the energy transfer mechanism. The eigenvalue rate coefficients are determined. Significant isotope effects are clearly found, and their behavior depends on the pressure, temperature, and mechanism of the reaction. Both spin statistics and symmetry breaking produce isotope effects. Under most conditions the breaking of symmetry enhances the rates, but a wide spectrum of effects is observed; they range from isotope effects with a normal mass dependence to huge, mass-independent isotope effects to cancellation and even to reversal of the isotope effects. This is the first calculation of symmetry-induced isotope effects in recombination rates from first principles. The relevance of the present effects to ozone recombination is discussed.     

Bimolecular recombination of charge carriers in molecularly doped polycarbonate

The general problems of the bimolecular recombination of charge carriers in molecularly doped polycarbonate are discussed. Experimental studies are performed via the transient radiation-induced conductivity method. Transient-current curves are numerically calculated via the multiple trapping model. The calculated and experimental curves are in good agreement. It is shown that the studied molecularly doped polymer undergoes bimolecular recombination via the Langevin mechanism.     

Stepwise charge separation and charge recombination in ferrocene-meso,meso-linked porphyrin dimer-fullerene triad

A meso,meso-linked porphyrin dimer [(ZnP)(2)] as a light-harvesting chromophore has been incorporated into a photosynthetic multistep electron-transfer model for the first time, including ferrocene (Fc), as an electron donor and fullerene (C(60)) as an electron acceptor to construct the ferrocene-meso,meso-linked porphyrin dimer-fullerene system (Fc-(ZnP)(2)-C(60)). Photoirradiation of Fc-(ZnP)(2)-C(60) results in photoinduced electron transfer from the singlet excited state of the porphyrin dimer [(1)(ZnP)(2)] to the C(60) moiety to produce the porphyrin dimer radical cation-C(60) radical anion pair, Fc-(ZnP)(2)(*+)-C(60)(*-). In competition with the back electron transfer from C(60)(*-) to (ZnP)(2)(*+) to the ground state, an electron transfer from Fc to (ZnP)(2)(*+) occurs to give the final charge-separated (CS) state, that is, Fc(+)-(ZnP)(2)-C(60)(*-), which is detected as the transient absorption spectra by the laser flash photolysis. The quantum yield of formation of the final CS state is determined as 0.80 in benzonitrile. The final CS state decays obeying first-order kinetics with a lifetime of 19 micros in benzonitrile at 295 K. The activation energy for the charge recombination (CR) process is determined as 0.15 eV in benzonitrile, which is much larger than the value expected from the direct CR process to the ground state. This value is rather comparable to the energy difference between the initial CS state (Fc-(ZnP)(2)(*+)-C(60)(*-)) and the final CS state (Fc(+)-(ZnP)(2)-C(60)(*-)). This indicates that the back electron transfer to the ground state occurs via the reversed stepwise processes,that is, a rate-limiting electron transfer from (ZnP)(2) to Fc(+) to give the initial CS state (Fc-(ZnP)(2)(*+)-C(60)(*-)), followed by a fast electron transfer from C(60)(*-) to (ZnP)(2)(*+) to regenerate the ground state, Fc-(ZnP)(2)-C(60). This is in sharp contrast with the extremely slow direct CR process of bacteriochlorophyll dimer radical cation-quinone radical anion pair in bacterial reaction centers.     

Theoretical calculations of RYDMR effects in photosynthetic bacteria

A detailed quantitative analysis of low-field RYDMR (reaction yield detected magnetic resonance) spectra of the photosynthetic bacterium Rhodobacter sphaeroides is presented. Reaction centres, in which the first stable electron acceptor (a quinone) had been pre-reduced, show pronounced temperature dependence around 280 K. This is interpreted in terms of a change in the separation of the constituents of the primary radical pair formed by photoinduced electron transfer.     

Emission from charge recombination during the pulse radiolysis of arylethynylpyrenes

Emission from several 1-(arylethynyl)pyrenes with a substituent on the aryl group (REPy, R = phenyl (PEPy), 4-dimethylaminophenyl (NPEPy), 4-isopropoxyphenyl (OPEPy), 2-quinonyl (QEPy), and 9-(10-cyanoanthracenyl) (AEPy)) was studied with time-resolved fluorescence measurements during pulse radiolysis in benzene. NPEPy and AEPy showed only monomer emission, while PEPy, OPEPy, and QEPy showed both monomer and excimer emissions during pulse radiolysis. In addition, REPy's also showed long-lived emissions with very weak intensities in the absence of oxygen, which were assigned to the "P-type" delayed fluorescence derived from the triplet-triplet annihilation. The formation of REPy's in the singlet excited state (1REPy*) can be interpreted as the charge recombination between the REPy radical cation and anion (REPy*+ and REPy*-, respectively), which are initially generated from the radiolytic reaction in benzene. Both the highest occupied molecular orbital (HOMO) and the lowest unoccupied molecular orbital (LUMO) of PEPy are localized on the 1-pyrenyl (Py) moiety, while the HOMO of REPy's with an electron donating or withdrawing substituent on the benzene ring (R(D)EPy such as NPEPy and OPEPy or R(A)EPy such as QEPy and AEPy) is mainly localized on the donor moieties (R(D) or Py) and the LUMO on the acceptor ones (Py or R(A), respectively). Therefore, it is suggested that the one-electron oxidation and reduction of REPy's can occur from the donor and acceptor moieties, respectively. This scheme reasonably explains the relationship between the annihilation enthalpy changes (-Delta H' degrees) for the charge recombination of REPy*+ and REPy*- and the singlet excitation energies (E'(S1) of the REPy's. The results are compared with those in electrogenerated chemiluminescence.     

Some problems of recombination kinetics. II

The general phenomenological theory of diffusion-controlled defect recombination, in which the identity of similar and dissimilar defects are consistently taken into account and which was presented in part I of this series, is applied here to the reactions A + B → C (Frenkel defect recombination). A + B → B (energy transfer), A + A → B (exciton annihilation). It is shown that during the reaction A + B → C at long reaction times spatial correlations of similar defects (dynamic aggregates) are produced thus leading to a deviation from the quasi-steady reaction constant well known in formal chemical kinetics. (This confirms once more our general idea about the back-coupling of similar and dissimilar reagent spatial correlations.) The validity range of Kirkwood's standard superposition approximation used to decouple three-point densities is also discussed.