Kev M. Salikhov

Peculiarities of free induction and primary spin echo signals for spin-correlated radical pairs

Keeping in mind ion-radical pairs in a photosynthesis reaction centre first of all, we calculated free induction and spin echo (ESE) signals for an ensemble of radical pairs which initially start in a singlet state. It was shown that the intensity of signals should oscillate depending on the time interval τ between the start of a pair and a microwave pulse forming free induction (FI) or between the start of a pair and the first of two microwave pulses forming primary ESE signal. ESE phase of spin-correlated pairs does not coincide with the corresponding ESE phase of radical pairs in thermal equilibrium. One should also note an interesting feature of FI: immediately after the microwave pulse free induction signal equals zero, and non-zero free induction signal appears only due to spin evolution. This behaviour formally resembles the situation occurring when the primary ESE is formed: a light pulse which creates spin-correlated radical pairs acts as the first microwave pulse in conventional spin echo experiments. Analysis of FI and ESE in experiments on pulse photolysis or radiolysis may provide useful information about the contribution of spin-correlated radical pairs.

Electron spin polarization in consecutive spin-correlated radical Pairs: Application to short-lived and long-lived precursors in type 1 photosynthetic reaction centres

An analytical treatment of the spin dynamics in sequential photoinduced correlated coupled radical pairs is presented and applied to the spectra of the states P+A1− and P+Fx− in type 1 photo-synthetic reaction centres. Expressions for the spin polarized spectra are derived for the specific limiting cases of a very short-lived and very long-lived primary radical pair which correspond to the situation found in heliobacteria and photosystem I (PSI), respectively. The inhomogeneous line-broadening due to the unresolved hyperfine couplings is taken explicitly into account. It is shown that the density matrix of the secondary pair ρ2 can be written as the sum of two terms corresponding to (i) the part which is independent of the spin dynamics in the precursor, (ii) the additional spin polarization which is generated during the lifetime of the precursor and transferred to the secondary pair. The latter term contains two contributions which arise from the difference of the Zeeman interactions of the radicals in the primary pair and from the inhomogeneous line broadening. The predicted polarization patterns are compared to those established for chemically induced dynamic electron polarization (CIDEP) when uncoupled radicals are generated from a radical pair precursor. The expressions are then used to simulate the experimental spectra of the consecutive pairs P+A1− and P+Fx− in PSI using parameters derived entirely from independent experimental data. Excellent agreement with the experimental results is obtained. The spectra of P+Fx− in heliobacteria at X- and K-band are also simulated and it is shown that the observed polarization patterns can be reproduced assuming direct electron transfer from A0 to Fx with a time constant ofτ = 600 ps.

The magnetic field dependence of the electron spin polarization in consecutive spin correlated radical pairs in type I photosynthetic reaction centres

The magnetic field/microwave frequency dependence of the spin polarized EPR spectra of the sequential spin correlated radical pairs P+A− 1 and P+F− x in type I photosynthetic reaction centres is investigated. Experimental data are presented for photosystem (PS) I and reaction centres of heliobacteria at × band (9.7 GHz) and K band (24 GHz). In photosystem I at ambient temperatures the lifetime of A − 1 is ~290 ns and both states are observable by transient EPR. In heliobacteria, electron transfer to Fx occurs within ~600 ps and only the state P+F− x is observed. The experimental data show a net polarization of P+ in the state P+F− x, which displays a clear dependence on the strength of the external field. The net polarization generated in sequential radical pairs is expected to pass through a maximum as a function of the Zeeman energy when the characteristic time of singlet-triplet mixing is comparable with the lifetime of the precursor. In PS I, the precursor lifetime (290ns) is much longer than the characteristic time of singlet-triplet mixing at × band (9 GHz, 3 kG) and K band (24 GHz, 8 kG). As a result, the observable net polarization decreases with the field strength in this region. In contrast, in heliobacteria, the precursor lifetime (600 ps) is much shorter than the characteristic time of singlet-triplet mixing, and the net polarization increases in the same range of Zeeman energies. The polarization patterns in these two systems can be described using the specific limiting cases of a short lived and long lived precursor radical pair and written as a sum of several contributions. The spectra are simulated on this basis using parameters derived entirely from independent experimental data, and good agreement between the experimental polarization patterns is obtained. The calculated polarization patterns are sensitive to spin dynamics on a timescale much shorter than the spectrometer response time, and the expected influence of a 10 ns component in the electron transfer, as observed optically in some PS I, preparations is discussed. No significant influence from such a component is found in the spin polarization patterns of PS I from the cyanobacterium Synechocystis 6803.

The transient EPR spectra and spin dynamics of coupled three-spin systems in photosynthetic reaction centres

The concept of introducing an additional, stable paramagnetic species into photosynthetic reaction centres to increase the information content of their spin polarized transient EPR spectra is investigated theoretically. The light-induced electron transfer in such systems generates a series of coupled three-spin states consisting of sequential photoinduced radical pairs coupled to the stable spin which acts as an “observer”. The spin polarized transient EPR spectra are investigated using the coupled three-spin system P+I−Q−A in pre-reduced bacterial reaction centres as a specific example which has been studied experimentally. The evolution of the spin system and the spin polarized EPR spectra of P+I−Q−A and Q−A following recombination of the radical pair (P = primary donor, I = primary acceptor, QA = quinone acceptor) are calculated numerically by solving the equations of motion for the density matrix. The net polarization of the observer spin is also calculated analytically by perturbation theory for the case of a single, short-lived, charge-separated state. The result bears a close resemblance to the chemically induced nuclear polarization (CIDNP) generated in photolysis reactions in which a nuclear spin plays the role of the observer interacting with the radical pair intermediates. However, because the Zeeman frequencies of the three electron spins involved are usually quite similar, the polarization of the electron observer spin in strong magnetic fields can reflect features of the CIDNP effect in both, high and low magnetic fields. The dependence of the quinone spin polarization on the exchange couplings in the three-spin system is investigated by numerical simulations, and it is shown that the observed emissive polarization pattern is compatible with either sign, positive or negative, for a range of exchange couplings, JPI, in the primary pair. The microwave frequency and orientation dependence of the spectra are discussed as two of several possible criteria for determining the sign of JPI.

Spin dynamics and EPR spectra of consecutive spin-correlated radical pairs. Model calculations

Time-resolved continuous wave EPR signals of two consecutive radical pairs are found in the linear response limit. Numerical simulations of the EPR observables visualize two characteristic features. First, there is a shift of a phase of quantum beats of the EPR line intensities of the secondary pairs. This phase shift originates from a certain time delay in a formation of the secondary pairs (due to time spent by electron spins in the primary radical pair state) and from the difference of the spin dynamics in the secondary and the primary pairs. This phase shift might be detected even in the cases when the primary radical pair has the very short lifetime and, as a result, the EPR spectrum of the primary pair cannot be detected directly. Second, for two consecutive radical pairs, there might be a pronounced non-equality of intensities of EPR lines at the EPR resonance frequencies of the secondary pairs. Indeed, in a case of two consecutive pairs there is the additional mechanism which induces the non-equality of the EPR line intensities: a polarization transfer from the primary to secondary pair and the change of a electron spin quantization axis when a primary radical pair transforms to a secondary radical pair. A possibility to detect experimentally these features of the EPR signals when studying consecutive charge separated states in photosynthetic reaction centers is discussed briefly.

Light induced radical pair intermediates in photosynthetic reaction centres in contact with an observer spin label: spin dynamics and effects on transient EPR spectra

A novel strategy is discussed using site directed spin labelling to study the electron transfer process in photosynthetic reaction centres. An algorithm is presented for numerical simulations of the time resolved EPR spectra of radical pair states in the presence of an observer spin label. This algorithm accounts for spin dynamics, charge recombination and relaxation processes. It is shown that satisfactory agreement between experimental and simulated EPR spectra of the first stabilized radical pair state in photosystem I is achieved for various microwave frequencies. Transient EPR spectra for the radical pair state P•+Q•- in photosystem I were simulated for various distances and positions of the observer spin label with respect to the acceptor quinone molecule. It is shown that distances up to more than 20 Å give rise to observable changes in the transient EPR spectra. Both the additional spin-spin coupling between the quinone radical and the label and the polarization transfer processes contribute to the changes. Furthermore, the shape and intensity of the EPR spectrum of the spin label is altered by the coupling with the radical pair spins for distances up to 25 Å. Experiments on site directed spin labelled photosystem I are thus expected to provide valuable information on the dynamics of electron transfer in photosystem I.

Creation of spin coherent states in the course of chemical reactions

Abstract In many elementary chemical acts, electron and nuclear spins can be found in coherent states. The necessary conditions are formulated for formation of coherent spin states in the course of chemical reactions. Some possible experimental manifestations of chemically induced coherent spin states are discussed.

Quantum teleportation across a biological membrane by means of correlated spin pair dynamics in photosynthetic reaction centers

In the process coined quantum teleportation the complete information contained in an input quantum stateΨi is teleported to a distant location at which the original quantum state is regenerated as teleported output stateΨi. This paper presents the proof-of-feasibility concept of a quantum teleportation experiment during which an arbitrary input quantum state is teleported across a biological membrane. As particular aspect it is emphasized that all essential subprocesses of the usual quantum teleportation scheme are suggested to be realized by free running reaction processes in a biological membrane-bound reaction center complex with only one significant adaptation required at the input side. The first process of generation of a spin-correlated (Einstein-Podolsky-Rosen) pair of particles (Bell-state source) is a naturally occurring process realized in photosynthetic reaction centers by the primary processes of light-induced charge separation across the membrane. The second process is the so-called Bell-state measurement, which is able to store the complete information of the input quantum state. It is suggested to be realized by a fast spin-dependent recombination between one pair partner spin and a properly engineered input spin. Under suitable recombination conditions the remaining second pair partner spin, situated at the receiver location on the other side of the membrane, is shown to end up in the quantum state identical to that of the initial input state due to the fixed spin correlation of the Bell-state source and the particular spin selectivity of the recombination process. Thus, the input (spin) quantum state is teleported from the spin near the (electron charge) donor side to the acceptor side of the membrane-bound photosynthetic reaction center complex. A comprehensive discussion is presented for this quantum teleportation concept using photosynthetic reaction centers as the quantum channel of communication. Standard electron paramagnetic resonance techniques can be used to set up the input state and read out or hand over the output state for subsequent quantum information processing.

Comment on a shape of EPR spectra of spin-correlated radical pairs and separate radicals escaped geminate recombination

For model spin-correlated radical pairs (RPs) the EPR spectra are simulated and their shape is analyzed in detail. It is demonstrated that the widths and intensities of the EPR spectra are determined essentially by the rate of the singlet-triplet dephasing and the scale of the spin-spin interactions. It is also shown that chemical exchange of the RPs between states with different values of the exchange and the dipole-dipole interactions can produce the apparent antiphase structure lines in the EPR spectra.

Time-resolved EPR study of electron spin polarization and spin exchange in mixed solutions of porphyrin stable free radicals

The time-resolved electron paramagnetic resonance (EPR) spectra are studied in the temperature range of 110–300 K for two mixed solutions of porphyrins, ZnTPP and H2TPP, in toluene and the stable free radical 2,2,6,6-tetramethyl-1-piperidinyloxyl (TEMPO). The EPR spectra and their kinetic behavior were studied for concentrations of TEMPO varied in the interval from 0.51 to 7.68 mM, while the porphyrin concentration was fixed as 1 mM. The EPR spectra of triplet-state porphyrins and free radicals manifest the chemically induced spin polarization. For the relatively short-lived radical-triplet pairs, with the perturbation theory up to the fourth order, the theoretical expressions are obtained for the triplet and radical spin polarization induced by the enhanced intersystem crossing (ISC) due to the interaction of excited singlet-state porphyrins with free radicals and by the triplet quenching by free radicals. The time-dependent EPR spectra of the triplets are simulated taking into account the spin-lattice relaxation. It is shown that the variation of the triplet EPR spectra shape, when the time of observation increases, arises from the spin-lattice relaxation kinetics. The kinetic behavior of the TEMPO EPR spectrum was simulated on the basis of the kinetic scheme suggested earlier in the literature. The triplet spin-lattice relaxation time, the rate of the ISC and the lifetime of the excited singlet state were estimated by fitting the kinetic curves for the triplet EPR spectra intensity. For the mixed porphyrin-TEMPO solutions, a possible set of the rate constants of important bimolecular processes were determined. For this set of parameters, it turns out that the spin polarization transfer has a smaller rate constant than the rate constant of the diffusion collisions of the triplet and radical. It appears that the rate constant of the ISC catalyzed by radicals is relatively high in the solutions close to the melting point of the solvent and in the soft-glassy state. In the triplet porphyrins the initial spin polarization induced by the spin-selective ISC was found to exceed the equilibrium spin polarization by up to two orders of magnitude.