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Biophys J, April 2001, p. 1617-1630, Vol. 80, No. 4

Modulation of Primary Radical Pair Kinetics and Energetics in Photosystem II by the Redox State of the Quinone Electron Acceptor QA

Krzysztof Gibasiewicz,*dagger Andrzej Dobek,dagger Jacques Breton,* and Winfried Leibl*

 *Section de Bioénergétique, DBCM, F-91191 Gif-sur-Yvette Cedex, France; and  dagger Institute of Physics, Adam Mickiewicz University, 61-614 Poznan, Poland


    ABSTRACT
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
CONCLUSIONS
APPENDIX 1
APPENDIX 2
REFERENCES

Time-resolved photovoltage measurements on destacked photosystem II membranes from spinach with the primary quinone electron acceptor QA either singly or doubly reduced have been performed to monitor the time evolution of the primary radical pair P680+Pheo-. The maximum transient concentration of the primary radical pair is about five times larger and its decay is about seven times slower with doubly reduced compared with singly reduced QA. The possible biological significance of these differences is discussed. On the basis of a simple reversible reaction scheme, the measured apparent rate constants and relative amplitudes allow determination of sets of molecular rate constants and energetic parameters for primary reactions in the reaction centers with doubly reduced QA as well as with oxidized or singly reduced QA. The standard free energy difference Delta G° between the charge-separated state P680+Pheo- and the equilibrated excited state (ChlNP680)* was found to be similar when QA was oxidized or doubly reduced before the flash (~-50 meV). In contrast, single reduction of QA led to a large change in Delta G° (~+40 meV), demonstrating the importance of electrostatic interaction between the charge on QA and the primary radical pair, and providing direct evidence that the doubly reduced QA is an electrically neutral species, i.e., is doubly protonated. A comparison of the molecular rate constants shows that the rate of charge recombination is much more sensitive to the change in Delta G° than the rate of primary charge separation.


    INTRODUCTION
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
CONCLUSIONS
APPENDIX 1
APPENDIX 2
REFERENCES

Photosystem II (PS II) is a membrane-bound protein complex that catalyzes the conversion of light energy into a more stable form of electrochemical energy during the primary processes of oxygenic photosynthesis (for a review see Diner and Babcock, 1996). With respect to the structure and function, the core subunits of PS II are thought to be similar to those of the better characterized purple bacterial reaction centers (RCs), both belonging to the family of quinone-type RCs (Rutherford and Nitschke, 1996). Light absorption by chlorophylls in antenna proteins (light-harvesting complexes) leads to the creation of excited singlet states, called excitons. The excitons are rapidly equilibrated within the antenna as well as between the antenna and RC (McCauley et al., 1989; Holzwarth, 1991). The excited states can be depopulated either by trapping in the RC (photochemical quenching), by internal conversion, or by emission of fluorescence (Geacintov and Breton, 1987). The trapping is defined as the conversion of an excited state into a charge-separated state in the RC. This primary charge separation occurs by electron transfer from an excited primary donor, a chlorophyll species (P680), to a primary electron acceptor, a pheophytin (Pheo), creating the primary radical pair P680+Pheo-. The primary radical pair (RP) decays by forward electron transfer to the first quinone electron acceptor QA (tau  approx  500 ps) when the latter is oxidized (open RC), or by charge recombination in the nanosecond range when QA is already reduced (closed RC). This charge recombination may occur by several competing pathways such as reformation of the excited singlet state P680*, direct recombination to the ground state, or via singlet-triplet mixing to populate the triplet state of the primary donor.

PS II is generally considered as a shallow trap, with the free energy of the charge-separated state being close to the one of the excited state (van Gorkom, 1985). There are two main reasons why PS II is different from the other photosystems in that respect. First, the energy transfer between the antenna chlorophylls and the primary donor is largely reversible due to similar energy levels of their excited states Chl* and P680*. In a first approximation, full equilibration of the excited states leads to a decrease of the free energy of the state (ChlNP680)* compared with that of ChlNP680*, due to an entropy term S = kBT lnNeff, where Neff is the effective number of pigments over which the excitation is equilibrated (see below) (Trissl, 1993; van Mieghem et al., 1995). At physiological temperatures and due to the relatively large antenna size, this entropy contribution amounts to ~-120 meV. Second, the extremely positive redox midpoint potential of the primary donor Em(P680+/P680), of the order of +1.1 eV, necessary to drive the oxidation of water, causes its excited singlet state redox potential Em(P680*/P680+) to be less negative than in all other systems. Both effects bring the free energy of the equilibrated excited state (ChlNP680)* close to the level of the radical pair state P680+Pheo-. As a consequence, trapping has to be considered as a reversible reaction and is usually described by an exciton/radical pair equilibrium model (Schatz et al., 1988; Leibl et al., 1989).

The formation of the primary radical pair is a crucial step of photosynthetic energy conversion as it has to be kinetically competitive with wasteful loss processes depopulating the excited states. The small driving force makes the yield of primary charge separation in PS II particularly sensitive to small changes in the energetics. A well-known example is the large increase in fluorescence yield upon reduction of QA. It is interpreted as a shift of the equilibrium between the charge-separated state and the equilibrated excited state toward the excited state (Schatz et al., 1988). From the kinetic point of view, equilibration of the excited state is much faster than its lifetime. Therefore, the trapping is considered as limited by the primary charge separation in the RC, i.e., trap-limited (e.g., Schatz et al., 1988; Leibl et al., 1989). The shallow-trap properties of PS II make this system interesting to study the influence of small energy changes induced by electrostatic interactions within the proteins on the kinetics of intra-protein electron transfer.

The efficiency of charge stabilization on QA depends to a large extent on the ratio of the rate constants for electron transfer from Pheo- forward to QA and backward to P680+. However, the latter rate constant is not easily accessible. One approach to assess the intrinsic rate of back-reaction is to block the forward electron transfer to QA. In principle this can be realized by pre-reducing QA to Q<UP><SUB>A</SUB><SUP>−</SUP></UP>, either by light or chemically. However, according to various authors, the single reduction of QA makes the primary charge separation slower and less efficient (Schatz et al., 1988; Roelofs et al., 1992) and/or makes the charge recombination faster compared with RCs with oxidized QA (Leibl et al., 1989; Roelofs et al., 1992). As mechanisms responsible for these effects, electrostatic interaction between the negatively charged Q<UP><SUB>A</SUB><SUP>−</SUP></UP> and Pheo- (van Mieghem et al., 1995) or changes of local protein conformation (van Mieghem et al., 1992) have been proposed. On the other hand, several observations indicate that strongly reducing conditions can cause double reduction of QA and that this state is probably stabilized by double protonation leading to the electrically neutral state QAH2 (van Mieghem et al., 1992, 1994, 1995; Vass et al., 1992; Liu et al., 1993). Such a state with blocked forward electron transfer but electrostatic conditions similar to open RCs should be well suited for determination of the intrinsic rate constant of charge recombination of the primary pair.

The efficiency of creation and stability of the RP in various experiments with blocked electron transfer from Pheo- to QA has been usually assessed by two quantities discussed in the literature: RP yield and lifetime. As the RP is a transient state, its yield is not easily defined. The definition adopted in the following is the maximum transient concentration of the radical pair (RPmax) relative to the number of photons absorbed at low excitation energy. The RP lifetime tau  is the apparent time constant in the exponential function exp(-t/tau ), which fits the RP decay deduced from the analysis of the experimental kinetics. These quantities were examined by several groups mainly for samples with singly reduced QA (Q<UP><SUB>A</SUB><SUP>−</SUP></UP> state) (Nuijs et al., 1986; Schatz et al., 1987, 1988; Schlodder and Brettel, 1988; Hansson et al., 1988; Leibl et al., 1989; Liu et al., 1993; van Mieghem et al., 1995) but also for samples with doubly reduced QA (referred to in this paper as QAH2 state) (Liu et al., 1993; van Mieghem et al., 1995). The results of these studies are ambiguous. Reported RP yields at room temperature for the Q<UP><SUB>A</SUB><SUP>−</SUP></UP> state vary from 10% (Leibl et al., 1989) to 60% (Schlodder and Brettel, 1988) depending on the antenna size, species, and probably the procedure of preparation and the experimental method. At low temperature (20 K), a RP yield of 100% has been determined (van Mieghem et al., 1995). The published values of the RP lifetime in the Q<UP><SUB>A</SUB><SUP>−</SUP></UP> state at room temperature vary from ~1 ns (Leibl et al., 1989) to 11 ns (Schlodder and Brettel, 1988) or even longer (Takahashi et al., 1987; Hansson et al., 1988; Liu et al., 1993). In samples with QA doubly reduced (in core complexes from Synechococcus containing ~40 chlorophyll molecules per RC), van Mieghem et al. (1995) reported at room temperature a RP lifetime of 13 ns and a yield of 100%. Liu et al. (1993) measured the RP decay of PS II core complexes from spinach in this state to be biphasic with lifetimes of 4 ns (40%) and 30 ns (60%). It is worth noting that RP lifetimes measured in isolated RCs are generally longer than in more intact preparations and extend to several tens of nanoseconds (Takahashi et al., 1987; Hansson et al., 1988; Booth et al., 1991).

In most kinetic studies of the primary RP in PS II, absorption change measurements or fluorescence decay measurements have been applied. Both techniques have some drawbacks. In the former a limited time resolution and/or contribution from excited states often do not allow correct measurements of the fastest decay components. With pump-probe techniques, lifetimes longer than a few nanoseconds are difficult to detect due to the limitations in the delay time. Fluorescence measurements might suffer from contributions from unconnected antenna chlorophylls or they might, in the case of a distribution or relaxation of radical pair states, over-represent the states lying energetically closer to the excited state. In addition, fluorescence measurements do not give any direct information on the RP yield. The latter can in principle be determined from molecular rate constants; however, even with global target analysis it is difficult to obtain unambiguous results (Roelofs et al., 1992).

Direct detection of RP formation and decay by time-resolved photovoltage measurements is an attractive alternative that can give complementary information. In the present work we applied a fast photovoltage technique (Wulf and Trissl, 1995; Trissl and Wulf, 1995) that allows selective measurements of yield and dynamics of the electrogenic states P680+Pheo- and P680+Q<UP><SUB>A</SUB><SUP>−</SUP></UP>. The main aim was to investigate the effect of electrostatic interactions within the RC protein on primary charge separation and recombination. From the photovoltage response after inhibition of charge stabilization, it is possible to determine both the relative yield of RP formation (from the amplitude) and the lifetime of the RP (from the decay time of the signal). These quantities are compared for the states Q<UP><SUB>A</SUB><SUP>−</SUP></UP> and QAH2. On the basis of a first-order reversible reaction scheme (Scheme 1, below), molecular rate constants and free energy differences between the state P680+Pheo- and the equilibrated excited state (ChlNP680)* for the three redox states of QA are calculated and discussed.



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Scheme 1   Reversible reaction schemes according to the exciton/radical pair equilibrium model (Schatz et al., 1988) for PS II with QA oxidized (a) and singly or doubly reduced (b). A, B, and C denote the respective states. (ChlNP680)* designates the excited state equilibrated between N antenna chlorophylls and P680. Molecular rate constants are as follows: k1, rate for primary charge separation; k-1, rate for RP recombination with repopulation of the excited state; k2 in a, overall rate for charge stabilization and for recombination to the ground or triplet P680 state; k2 in b, rate for primary RP recombination reactions not repopulating the excited state; k3, rate for decay of excited states (fluorescence emission and radiationless deactivation).


    MATERIALS AND METHODS
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
CONCLUSIONS
APPENDIX 1
APPENDIX 2
REFERENCES

Sample preparation

PS II membrane fragments were prepared from spinach according to the procedure described by Berthold et al. (1981) with slight modifications. To obtain single, destacked membrane fragments suitable for electrical orientation, a mild trypsin treatment was performed on the sample (Leibl et al., 1989; Pokorny, 1994). Concentrated PS II membranes (4 mg of chlorophyll/ml) were diluted in a buffer containing 10 mM 2-[N-morpholino]ethanesulfonic acid (MES) (pH 6.0), 10 mM NaCl, and 0.3 M sucrose to a final chlorophyll concentration of 100 µg/ml. Then trypsin (Sigma Chemical Co., St. Louis, MO) was added from a stock solution (5 mg/ml in 20 mM CaCl2) to yield a concentration of 2 µg/ml. After 5 min of incubation in the dark at room temperature, the proteolysis was stopped by addition of a fivefold excess of trypsin inhibitor (Sigma) from a stock solution (10 mg/ml in 20 mM CaCl2). The solution was then centrifuged (20,000 × g, 10 min, 4°C), and the pellet was washed several times in a low ionic strength buffer containing 2 mM MES, pH 6.0, 2 mM NaCl, and 0.3 M sucrose. The final chlorophyll concentration was ~4 mg/ml. The trypsin treatment was always performed less than 1 day before experiments, and the sample was kept on ice until use. Control measurements of fluorescence kinetics on membranes not trypsinized show no significant differences compared with trypsinized samples in any of the three redox states of QA. This indicated that the primary reactions were not modified by the trypsin treatment.

QA oxidation was achieved by addition of 10-100 µM potassium ferricyanide and ~10 min dark adaptation before the measurements. Single reduction of QA was obtained by addition of 40 mM sodium dithionite. Alternatively, we applied a saturating preflash or a weak background illumination after addition of 100 µM 3-(3,4-dichlorophenyl)-1,1-dimethylurea (DCMU). Double reduction of QA was performed by addition of 40 mM sodium dithionite followed by illumination with white light (~30 mW/cm2 for 10 min). After the illumination the sample was kept in darkness for ~40 min to allow for reoxidation of photoaccumulated Pheo-. All preparation steps were performed with degassed buffers under argon atmosphere. The control experiments for verification of the reduced states of QA will be discussed below.

Fluorescence measurements

Fluorescence kinetics were measured on samples (chlorophyll concentration ~2 mg/ml) placed in a flat glass cuvette with an optical path length of 1 mm. Excitation was by flashes from a frequency-doubled picosecond Nd-YAG laser (532 nm, 20 ps; Continuum, Santa Clara, CA). To minimize nonlinear effects (such as singlet-singlet annihilation) the energy density was reduced by neutral density filters to 10-100 µJ/cm2. Fluorescence kinetics was detected with a microchannel photomultiplier (FWHM 150 ps; Hamamatsu, Hamamatsu City, Japan) and a 7-GHz digitizing oscilloscope (IN7000, Intertechnique, Les Ulis, France). The detection wavelength was selected by an interference filter centered at 680 nm. The apparatus response was determined by measuring the response to 20-ps flashes of green scattered light. The fluorescence traces were fitted by a sum of two or three exponential components FL(t) = Sigma <UP><SUB>i=1</SUB><SUP>n</SUP></UP>aiexp(t/tau i), n = 2 or 3, convoluted with the apparatus response. The values of the parameters ai and tau i were determined by a fit procedure minimizing the sum of the unweighted squared residuals.

Time-resolved photovoltage measurements

A detailed description of the photovoltage technique has been given elsewhere (Wulf and Trissl, 1995; Trissl and Wulf, 1995). Briefly, the transmembrane electron transfer during primary charge separation builds up a membrane potential, which can be detected as a photovoltage signal if the sample in the capacitative measuring cell is oriented. The sample (chlorophyll concentration ~4 mg/ml) was placed in a small coaxial cell between two platinum electrodes (Trissl and Wulf, 1995). The destacked PS II membranes were oriented in multilayers on the lower electrode by applying a short electric pulse (~200 ms, 800 V/cm). From the amplitude of the photovoltage upon a saturating flash (~300 mV) it can be estimated that this procedure leads to effective orientation of ~10 layers of membranes stacked on top of each other. In the case of experiments with samples in the states Q<UP><SUB>A</SUB><SUP>−</SUP></UP> and QAH2, chemical reduction was achieved after electrical orientation by adding a reducing buffer under an argon atmosphere. Excitation was as in the fluorescence experiments. For detection of the photovoltage kinetics, a 6-GHz preamplifier (Nucletude, Les Ulis, France) and the same digitizing oscilloscope as for fluorescence measurements were used. The apparatus response was determined experimentally by measuring the ultrafast charge separation in oriented purple membranes from Halobacterium halobium (Trissl and Wulf, 1995; see inset in Fig. 2 A). The primary and secondary radical pair kinetics was modeled by a reversible reaction scheme (Scheme 1) that, in the low-energy limit, results in a function PV(t) containing two exponential components with two apparent time constants and a relative amplitude A<UP><SUB>2</SUB><SUP>app</SUP></UP> (Eqs. A1-A3 in the Appendix). The relations between these apparent parameters and the five molecular parameters (four molecular rate constants and the relative electrogenicity e2/e1; see below) are given by Eqs. A4-A6. The kinetic traces were analyzed by a convolution of the apparatus response and PV(t) (see Trissl and Wulf, 1995). The apparent parameters were determined by an iterative fit procedure as described before for analysis of the fluorescence kinetics.


    RESULTS
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
CONCLUSIONS
APPENDIX 1
APPENDIX 2
REFERENCES

Fluorescence and photovoltage kinetics were measured on destacked PS II membrane fragments pretreated to prepare them in three different initial redox states of QA: oxidized, singly reduced, and doubly reduced. Fluorescence decay kinetics in these redox states have been reported by several groups on comparable samples using a single photon-counting technique (van Mieghem et al., 1992; Vass et al., 1993). It has been demonstrated that the fluorescence decay kinetics are characteristic of the redox state of QA. On the basis of these published data, the fluorescence measurements in this work were primarily performed to serve as a tool and control of establishment of the desired redox states of the sample.

Fluorescence kinetics

Fig. 1 shows typical fluorescence kinetics detected for the samples with QA oxidized, QA singly reduced, and QA doubly reduced (see Materials and Methods). For comparison, the experimental traces are normalized to equal initial amplitudes. The parameters resulting from a fit by a sum of two or three exponential functions are given in Table 1. Taking into account the limited time resolution of the fluorescence measurements in this work, our results agree fairly well with the more precise data from single photon-counting experiments (Table 1) (van Mieghem et al., 1992; Vass et al., 1993). In agreement with the observations reported in the literature, kinetics in the states QA and QAH2 are dominated by fast phases of ~100-200 ps, whereas in the state Q<UP><SUB>A</SUB><SUP>−</SUP></UP> a slower phase of ~1.5 ns is dominant. In the state QAH2 there is a very slow phase of 6 ns, which is not present in the two other redox states of QA. For preparation of the doubly reduced state, we optimized the conditions (time and intensity of illumination, dark re-adaptation time, and concentration of sodium dithionite) so as to obtain fluorescence kinetics with a maximum contribution of the 6-ns component (see Discussion). The double reduction of QA was almost completely reversible after addition of 10 mM ferricyanide (data not shown).



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FIGURE 1   Fluorescence kinetics (lambda  = 680 nm) of PS II membrane fragments with QA in three different initial redox states as indicated. Best fits obtained by convolution of a multiexponential decay and the apparatus response function are superimposed on the experimental traces. The three lower traces are plots of deviations between calculated and experimental traces (residual plots) with upper and lower straight lines indicating ±2% deviation. AR, apparatus response to 20-ps flashes of green scattered light (FWHM, 150 ps).


                              
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TABLE 1   Fluorescence decay components and relative fluorescence yields of PS II membranes in three different initial redox states of QA

Photovoltage kinetics

The same preparation and the same protocol to establish the initial redox states of QA as the one described above were used for photovoltage experiments. Fig. 2 A presents the photovoltage kinetics obtained upon excitation with a picosecond flash of the same oriented PS II membranes prepared successively with QA oxidized (QA) and either QA singly reduced (Q<UP><SUB>A</SUB><SUP>−</SUP></UP>) or QA doubly reduced (QAH2). Clear differences between the three traces are seen both in amplitudes and in kinetics. For better comparison of the kinetics in the states Q<UP><SUB>A</SUB><SUP>−</SUP></UP> and QAH2, these traces were normalized in Fig. 2 B. Normalization was done by multiplying the photovoltage signal in the state Q<UP><SUB>A</SUB><SUP>−</SUP></UP> (Fig. 2 A) by a constant so as to obtain the same maximal amplitudes for both traces.



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FIGURE 2   (A) Photovoltage kinetics of PS II membrane fragments with QA in three different initial redox states as indicated. An exponential decay due to the apparatus response (inset) has been deconvoluted for clearer presentation. Best fits are superimposed on the experimental traces and residual plots are shown below with upper and lower straight lines indicating ±2% deviation for the states QA and QAH2 and ±5% deviation for the state Q<UP><SUB>A</SUB><SUP>−</SUP></UP>. (Inset) Photovoltage kinetics of purple membranes used to determine the exponential decay due to the apparatus response used for deconvolution. (B) Photovoltage traces for the states Q<UP><SUB>A</SUB><SUP>−</SUP></UP> and QAH2 with best fits superimposed and normalized to the same maximal amplitude. Additionally, for the state QAH2 two model curves (1 and 2) are presented obtained by fixing k1 = 2 ns-1 (trace 1) or k1 = 10 ns-1 (trace 2) and optimizing k-1 and k2 to obtain the best fit. k3 was fixed to 1 ns-1 (set 1, Table 3). As can be seen, values of k1 different from those in Table 3 do not allow a fit to the experimental traces. In the states QAH2 and QA, similar deviations can be observed (not shown) when fixing the values of other molecular rate constants outside the ranges given in Table 3. In the state Q<UP><SUB>A</SUB><SUP>−</SUP></UP>, fixing one molecular rate constant outside the range of values in Table 3 may be compensated by the other rate constants so that the experimental trace can be well fit. However, in these cases other constraints (e.g., relative peak amplitude of the photovoltage signal; see Appendix 2) would be violated.

Owing to the limited sensitivity of the photovoltage setup and the necessity of correlation of the results of both techniques, relatively high excitation energies ranging from 10 to 70 µJ/cm2 were applied for both fluorescence and photovoltage. In some experiments an even higher excitation energy, up to 100 µJ/cm2, was applied to record photovoltage signals in the state Q<UP><SUB>A</SUB><SUP>−</SUP></UP> because of the low signal-to-noise ratio in this state. No significant differences were observed for excitation within this energy range. As shown in Fig. 3, the photovoltage generated by samples in the state QAH2 for these energies is still in the linear range of the saturation curve. This justifies the application of the simplified model, which neglects nonlinear effects (Scheme 1) for a quantitative analysis of photovoltage results.



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FIGURE 3   Double logarithmic plot of the dependence of the peak amplitude of the photovoltage response in the state QAH2 on the excitation energy. The measurements used for kinetic analysis were performed at an excitation energy of less than 100 µJ/cm2.

In the case of initially oxidized QA, not only the transient primary radical pair (P680+Pheo-) is monitored, but also subsequent formation of the secondary radical pair (P680+PheoQ<UP><SUB>A</SUB><SUP>−</SUP></UP>) leads to a further increase of the membrane potential and appears as a second positive electrogenic step in the photovoltage. According to a two-step sequential forward reaction the photovoltage in samples with oxidized QA increases biphasically, reaches its maximum value at ~2-3 ns after the flash, and is stable on the time scale of the measurement (5-10 ns). Both radical pair states involved are weighted with electrogenicity factors, which reflect the (dielectrically weighted) transmembrane distances between the separated charges (Eqs. A3 and A4). As it has been shown previously, the electrogenicity factor of the secondary radical pair is about twice as large as the one of the primary radical pair, indicating a transmembrane position of Pheo about midway between P680 and QA (Leibl et al., 1989; Pokorny, 1994).

Single reduction of QA before the flash by addition of dithionite (Fig. 2 A, trace Q<UP><SUB>A</SUB><SUP>−</SUP></UP>) causes a drastic decrease in the photovoltage amplitude and a completely different shape of the kinetics. As expected, the second rising phase, due to QA reduction, is lost and replaced by a back-reaction. In addition, the amplitude of the photovoltage signal is diminished compared with that for the samples with oxidized QA by much more than the expected factor of two, indicating a significant reduction of the yield of RP formation.

Double reduction of QA by illumination and subsequent dark incubation of dithionite-treated samples (Fig. 2 A, trace QAH2) leads to a strong increase of the amplitude of the photovoltage signal relative to the trace Q<UP><SUB>A</SUB><SUP>−</SUP></UP>. The increase in the amplitude is accompanied by a slower decay of the photovoltage. It is necessary to stress that this evolution does not result from reoxidation of Q<UP><SUB>A</SUB><SUP>−</SUP></UP> in part of the centers, which would lead to a mixture of QA and Q<UP><SUB>A</SUB><SUP>−</SUP></UP> states and consequently could give rise to a similar effect of apparent slower decay and increased amplitude. To exclude this possibility two tests were performed that, if some reoxidation of Q<UP><SUB>A</SUB><SUP>−</SUP></UP> had occurred, would regenerate the state Q<UP><SUB>A</SUB><SUP>−</SUP></UP>. The tests consisted in either application of continuous background light or in re-addition of freshly prepared dithionite to the sample. Neither of these control experiments showed a significant change (acceleration of the decay or decrease of the amplitude) of the photovoltage response, thus demonstrating that reoxidation of QA was not the origin of the observed changes. It can therefore be concluded that the described photovoltage response is characteristic of RCs with doubly reduced QA. Qualitatively, it indicates that in samples with doubly reduced QA the yield of RP formation and the lifetime of the RP are increased relative to those for the samples with singly reduced QA.

Kinetic analysis of the photovoltage data revealed that the kinetics in all three redox states of QA could be well fitted with two exponential components (Eq. A3). The results of this analysis are collected in Table 2. In the state QA the relative amplitude A<UP><SUB>2</SUB><SUP>app</SUP></UP> equals 3.4 (corresponding to an electrogenicity of the state p+Q<UP><SUB>A</SUB><SUP>−</SUP></UP> of ~1.85 relative to the electrogenicity of the state p+ Pheo- (see below); Eq. A4), and the time constants of the two phases were tau 1 = 220 ps and tau 2 = 620 ps. These time constants are in good agreement with values of 170 ps and 520 ps measured for PS II membranes from peas (Leibl et al., 1989). The kinetics in the state QAH2 is characterized by a similar time constant for formation of the primary RP (tau 1 = 180 ps) and a time constant of tau 2 = 5.5 ns for its decay. The data are well fitted by a value of A<UP><SUB>2</SUB><SUP>app</SUP></UP> -1 (corresponding to e2/e1 = 0; Eq. A4), which is expected for a monophasic radical pair recombination process. The peak amplitude of the photovoltage signal observed in different experiments ranged from 30% to 46% of the one observed on the same preparation with oxidized QA. These values may be underestimated due to a slight loss of amplitude, which could be caused by the procedure of dithionite addition disturbing somewhat the orientation of the sample. However, it is clear that the amplitude in the state QAH2 was significantly (about five times) higher when compared with that obtained for the state Q<UP><SUB>A</SUB><SUP>−</SUP></UP>. It is worth noting that the transition from the single to the doubly reduced state did not require a change of the redox buffer solution covering the stacked membrane layer in the measuring cell (such a buffer change is necessary for the transition from the oxidized to the single reduced state; see Materials and Methods) but was realized only by the application of continuous light. Therefore, the observed increase of the amplitude by a factor of five when going from the state Q<UP><SUB>A</SUB><SUP>−</SUP></UP> to QAH2 is clearly due to an increased yield of RP formation. The kinetics in the state Q<UP><SUB>A</SUB><SUP>−</SUP></UP> is characterized by a rising phase of ~50 ps and a decay phase of 800 ps, both time constants being significantly faster than in the case of doubly reduced QA. As in the case of QAH2, a relative amplitude of A<UP><SUB>2</SUB><SUP>app</SUP></UP> -1 fit well in the analysis. It is interesting to note that on the basis of a simple phenomenological description by two consecutive reactions the decrease in the maximum RP concentration in the state Q<UP><SUB>A</SUB><SUP>−</SUP></UP> could be easily explained by assigning the 800-ps component to the formation of the RP and the 50-ps component to its decay. A more detailed analysis in terms of molecular rate constants will be given below.


                              
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TABLE 2   Apparent time constants and relative amplitudes, A<UP><SUB>2</SUB><SUP>app</SUP></UP>, of the photovoltage response from PSII membranes in three different initial redox states of QA


    DISCUSSION
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
CONCLUSIONS
APPENDIX 1
APPENDIX 2
REFERENCES

Preparation of the redox states of QA

In general, the methods of preparing samples with QA oxidized and singly reduced seem well established. The oxidized state is the one that is easiest to obtain in pure form. To assure that all RCs were in the state QA, a small amount (up to 100 µM) of potassium ferricyanide was added to the sample in addition to dark adaptation. This artificial electron acceptor reoxidizes residual Q<UP><SUB>A</SUB><SUP>−</SUP></UP> between flashes during data acquisition.

Preparation of samples with all QA singly reduced is more difficult. It was suggested, for example, that addition of sodium dithionite could cause some double reduction of QA already in the dark, although more purified preparations such as core complexes seem to be more susceptible to this than the intact membrane preparations used in this work (van Mieghem, 1994). Single reduction of QA could in principle be performed also by a preillumination of the sample in the presence of DCMU, an inhibitor of reoxidation of Q<UP><SUB>A</SUB><SUP>−</SUP></UP> by electron transfer to QB. However, it was found that chemical reduction gives the most reliable results. The other methods (DCMU plus saturating preflash or continuous background light) might leave QA in the oxidized state in a small fraction of RCs. On the other hand, due to the instability of sodium dithionite there remains also some uncertainty about the establishment of a stable Q<UP><SUB>A</SUB><SUP>−</SUP></UP> state by chemical reduction. Fortunately, the very properties of the photovoltage response offer sufficient arguments against a significant contribution from the states QA and QAH2. The characteristic kinetics and especially the very small amplitude are inconsistent with a significant contribution of the other states, which are characterized by quite different kinetics and much larger amplitudes. On the other hand, because the signal from the state Q<UP><SUB>A</SUB><SUP>−</SUP></UP> is small, even minor contamination by the larger signal from the other redox states would distort it significantly. However, simulations show that such a contamination would clearly manifest itself by the presence of a slow component in the photovoltage decay (5.5 ns or a constant). This is not observed. Furthermore, the fluorescence kinetics for the states QA and Q<UP><SUB>A</SUB><SUP>−</SUP></UP> (Fig. 1; Table 1) agreeing well with those in the literature (Hodges and Moya, 1986; Schatz et al., 1988; Leibl et al., 1989; van Mieghem et al., 1992; Vass et al., 1993) also confirm the validity of the methods of preparation of the different redox states.

To verify the preparation of the state QAH2, we compared our fluorescence kinetics to published data (Table 1) for the same kind of preparation, i.e., PS II membrane fragments from spinach (van Mieghem et al., 1992; Vass et al., 1993). These data had been obtained by the technique of single photon counting and analyzed with four exponential functions. The published characteristics of the fluorescence decay kinetics in the state QAH2 are very similar to those presented in this paper with a dominant fast phase (150-220 ps), a middle component of smaller contribution (~600 ps), and a very slow phase (7-10 ns). Irrespective of the number of kinetic phases and their exact lifetimes, it appears clearly that the relative fluorescence yields, Phi , for the three redox states of QA (Table 1) are in good agreement with literature data. Compared with the oxidized state, the values of Phi  increase by about a factor of 6 and 3-4 for the singly and doubly reduced state, respectively. In the work of van Mieghem et al. (1992), fluorescence experiments were performed on samples for which the redox state of QA was monitored by electron paramagnetic resonance (EPR). PS II membranes with QA singly reduced showed a large Q<UP><SUB>A</SUB><SUP>−</SUP></UP> EPR signal, which was absent both in samples with QA oxidized and in samples doubly reduced. Based on the correlation of the QA redox state monitored by EPR and the fluorescence kinetics characterized by van Mieghem et al. (1992) we used in our work the presence of a long (6-10 ns) fluorescence component with significant amplitude, together with the large amplitude of the fast phase (60-70%) and the value of Phi (QAH2)/Phi (QA) = 3-4 as indicators for the state QAH2.

Molecular rate constants

In principle, fluorescence and photovoltage data give complementary kinetic information, and the experimental parameters (lifetimes and amplitudes) from both techniques could be used to determine molecular rate constants. In the framework of Scheme 1 the kinetics in all redox states of QA should be characterized by two exponential phases, and the values for time constants for photovoltage and fluorescence kinetics should be identical (see Appendix 1). However, some time constants measured by fluorescence, both in this work and in work by other authors, are significantly different from time constants measured by photovoltage (compare Tables 1 and 2). This is the most evident in the state QAH2, where more than two phases are necessary to describe the fluorescence decay. But also in the other states some differences, especially concerning the time constant of the fast phases, are observed.

The reason for these discrepancies is probably that Scheme 1 is too simple to give a correct description of the fluorescence kinetics because it does not take into account additional reaction steps that are expected to give additional kinetic phases of fluorescence decay. Several studies of PS II preparations with high temporal and amplitude resolution reported fluorescence decay kinetics with more than two phases (Roelofs and Holzwarth, 1990; van Mieghem et al., 1992; Roelofs et al., 1992; Vass et al., 1993). These results were interpreted either in terms of heterogeneity of photosystems (contribution of PS I and/or different behavior of PS IIalpha and PS IIbeta ; Roelofs et al., 1992) or in terms of a relaxation of the primary radical pair (Vass et al., 1993, Yruela et al., 1996). The samples used in this work contain no detectable amounts of PS I and, judged from the values for molecular rate constants determined from the photovoltage kinetics, resemble PS IIbeta (see below). In other words, the photovoltage response probably originates from a homogeneous sample. It is not completely sure that this applies also to the fluorescence response, which could possibly contain a contribution from still stacked PS II membranes behaving like PS IIalpha .

Concerning a possible relaxation of the primary pair, the doubly reduced state should be the one in which it is the most easily detectable due to the long lifetime of the RP in this state. In fact, fluorescence transients in this state showed a third phase of ~600 ps, which could correspond to an energetic relaxation of the primary RP. The photovoltage kinetics, however, which monitors directly the time dependence of the radical pair concentration, was well described by a single decay time. This could mean that within the precision of the photovoltage measurements, a possible radical pair relaxation is not connected with sufficient change in electrogenicity (due to charge movement perpendicular to the membrane plane) to be observed.

Another additional reaction step that is neglected in Scheme 1 is exciton equilibration within the PS II antenna complexes. Such processes had been detected as fast fluorescence phases (15-20 ps) of significant relative amplitude (0.35), both for open and closed RCs (McCauley et al., 1989; Roelofs et al., 1992). The fluorescence data in the present work were not of sufficient precision to resolve such phases. As a consequence the lifetimes and amplitudes of the faster fluorescence phases observed in this work may be distorted.

The additional reaction steps discussed above, like exciton equilibration and primary radical pair relaxation, are expected to affect fluorescence much more than photovoltage kinetics, for which Scheme 1 seems sufficient. Certainly a global analysis of kinetic data from both techniques would be the best approach. However, the use of a more complicated reaction scheme makes it impossible to determine all involved molecular rate constants. For these reasons the analysis presented in the following will be mainly based on the photovoltage data and the simple scheme (Scheme 1).

One advantage of the photovoltage is that the amplitudes give information about relative concentrations of the RP, which can be compared for different redox states. This allows us to derive an important conclusion about the rate constant of primary charge separation independently of the other molecular rate constants. As can be seen from Eq. A7 the maximum concentration of the RP depends only on k1 and the directly measured quantities tau 1 and tau 2. Taking into account the relative amplitudes of the photovoltage traces in the states QAH2 and Q<UP><SUB>A</SUB><SUP>−</SUP></UP> as well as the apparent rates (Table 2), the ratio k1(QAH2)/k1(Q<UP><SUB>A</SUB><SUP>−</SUP></UP>) approx  1.25 can be deduced. This is an important result, which does not imply any assumptions. It demonstrates that the molecular rate constants of primary charge separation in the singly and doubly reduced state are comparable.

To determine the sets of molecular rate constants for the three redox states of QA we used two mathematical approaches (Appendix 2), both leading essentially to the same results (Table 3; compare results in sets 1 and 2 with those in set 3). As even with the simplified scheme, an attempt to determine precise values of the molecular rate constants would necessitate too many assumptions we rather restricted the analysis to the determination of the ranges of their possible values.


                              
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TABLE 3   Sets of parameters calculated from photovoltage data for the three redox states of QA on the basis of Scheme 1

Most of the molecular rate constants are sufficiently well defined to allow drawing conclusions about the effect of the redox state of QA. Inspection of the values determined for k1 and k-1 (in all three sets in Table 3) reveals the interesting result that the rate of RP recombination, k-1, is strongly dependent on the redox state of QA, being similar for QA and QAH2 but more than one order of magnitude higher for Q<UP><SUB>A</SUB><SUP>−</SUP></UP>. On the other hand, the molecular rate constant for primary charge separation, k1, is rather independent of the redox state of QA. This result contrasts with the result of kinetic analysis of time-resolved fluorescence (and transient absorption changes) from the literature. On a PS II preparation from Synechococcus sp. with 80 Chl/RC, the single reduction of QA was found to affect k1 much more than k-1 (Schatz et al., 1988), and a similar result has been obtained in other works using fluorescence techniques (Roelofs et al., 1992; Vass et al., 1993). A possible reason for this difference may be the heterogeneity of PS II. In a very detailed study of picosecond chlorophyll fluorescence from pea chloroplasts, global target analysis allowed detection of a distinctly different behavior of beta -centers compared with that of alpha -centers (Roelofs et al., 1992). Upon single reduction of QA in PS IIbeta , k1 decreased by a factor of 3, but k-1 increased by a factor of 5. A previous study based on photovoltage (and fluorescence) kinetics on destacked PS II membranes revealed a similar change of the values of k1 and k-1 upon single reduction of QA with a reduction of k1 by a factor of 3 and an increase of k-1 by about a factor of 8 (Leibl et al., 1989). This resembles a behavior proposed for PS IIbeta although the membranes had been prepared from PS IIalpha containing grana fragments. In thylakoids, PS IIalpha is located in the stacked grana region of the thylakoids, whereas PS IIbeta is located in the unstacked stroma regions, and evidence for a reversible conversion of PS IIalpha to PS IIbeta has been reported, probably connected with migration of PS II from grana to stroma region (Sundby et al., 1986; Guenther and Melis, 1990). It is possible that such a conversion takes place upon destacking of the grana membranes. It should be noted that in the photovoltage study mentioned above (Leibl et al., 1989), double reduction of QA had neither been studied nor considered. It is therefore likely that part of the difference between the results of this work and those reported by Leibl et al. (1989) can be attributed to the contribution of some doubly reduced QA in the presumed Q<UP><SUB>A</SUB><SUP>−</SUP></UP> state in the earlier study.

The rate k2 is not very well defined in the state Q<UP><SUB>A</SUB><SUP>−</SUP></UP> (Table 3). This is mainly due to the fact that k-1 in this state is very high and that both reactions (described by k2 and k-1) compete in the depopulation of the radical pair state. However, all three sets show that in the state QAH2, k2 is smaller than 0.2 ns-1. This may serve as an estimation of the upper limit for the recombination rate in open RCs (state QA) of the primary radical pair directly or via the triplet state of P680 to the ground state. The relatively small value of 0.2 ns-1, compared with k2 (QA) = 1.75 ns-1, is in line with an efficient charge stabilization in open RCs (Kramer and Mathis, 1980; Thielen and van Gorkom, 1981; Schatz et al., 1988).

The rate constant for nonphotochemical decay, k3 (Table 3, set 3) also shows a large range of values, which are compatible with the measured quantities and the constraints. This rate, like k2 in closed RCs, describes a wasteful loss reaction, and variation of this rate has only relatively weak effects on the other molecular rate constants. The most significant effect of an increase of k3 is a drop of the quantum yield of charge stabilization in open RCs. The range for k3 determined in set 3 covers the two values used for calculation of sets 1 and 2.

To demonstrate the influence of the determined molecular rate constants on other observable quantities, some additional values are given in Table 3. The calculated maximum transient concentrations of the primary radical pair, RPmax (Eq. A7), in the states Q<UP><SUB>A</SUB><SUP>−</SUP></UP> and QAH2 are expressed in percentages of the initially absorbed photons per RC and may be compared to the RP yields from the literature (see Introduction). For sets 1 and 2 also theoretical values for relative fluorescence amplitudes, a<UP><SUB>2</SUB><SUP>fl</SUP></UP>, and fluorescence yields, Phi fl, are calculated according to Eq. A12. These fluorescence quantities might be compared with the constraints related to fluorescence data that were used to calculate set 3 (see Appendix 2) showing that the constraints are justified. Only a<UP><SUB>2</SUB><SUP>fl</SUP></UP>(QA) = 0.14 in set 2 is significantly lower than the corresponding constraint (0.25). However, as calculations show, a decrease of the lower limit for a2(QA) to 0 affects significantly only the ranges of k-1(QA) in set 3 (0-1.6 ns-1) and has no influence on the main conclusions. Finally, also the yields of charge stabilization in open RCs, YCS, calculated in sets 1 and 2 (Eq. A8) are in accordance with the corresponding constraint used for the calculation of set 3 (YCS > 0.5) and with literature data (Kramer and Mathis, 1980; Thielen and van Gorkom, 1981; Schatz et al., 1988).

The standard free energy of the primary charge separation

Knowledge of the values of the molecular rate constants for the forward and back reactions allows us to obtain information on the energetics of the charge separation reaction. The values of k1 and k-1 define the free energy difference, Delta G°, between the states P680+Pheo- and (ChlNP680)* in the intact photosystem:
&Dgr;G°=<UP>−</UP>k<SUB><UP>B</UP></SUB>T <UP>ln</UP>(k<SUB>1</SUB>/k<SUB><UP>−</UP>1</SUB>), (1)
where kB is the Boltzmann constant and T is the absolute temperature. Delta G° is negative and of similar magnitude for the states QA and QAH2, whereas for the state Q<UP><SUB>A</SUB><SUP>−</SUP></UP> it is positive (Table 3), indicating a significant shift of the energetic equilibrium toward the (equilibrated) excited state. The latter result is consistent with the idea that a negative charge on QA leads to a destabilization of the state P680+Pheo- due to repulsive electrostatic interaction. On the other hand, a similar driving force observed for charge separation in the oxidized and doubly reduced state indicates that the electrostatic repulsion has disappeared. This result confirms that upon double reduction the charges on QA are neutralized by double protonation (Vass et al., 1992; van Mieghem et al., 1992, 1994, 1995; Liu et al., 1993). It therefore appears that the state Q<UP><SUB>A</SUB><SUP>−</SUP></UP> can be used to provide an internal modulation of the standard free energy of primary charge separation when compared with the oxidized or fully reduced state.

In the framework of the exciton/radical pair equilibrium model, the molecular rate of charge separation from the equilibrated excited state, k1, is linearly related to the intrinsic molecular rate, k<UP><SUB>1</SUB><SUP>int</SUP></UP>, which describes electron transfer within the RC from the excited primary donor, P680*, to the primary acceptor:
k<SUP><UP>int</UP></SUP><SUB>1</SUB>=k<SUB>1</SUB>N<SUP><UP>eff</UP></SUP>, (2)
where Neff is an entropy factor representing the effective number of chlorophylls over which the excitation is equilibrated. If all pigments are isoenergetic, Neff equals the actual antenna size (in our case N approx  250). By taking into account a slight difference in the wavelength of the maximum absorption between the primary donor P680 (680 nm) and the antenna chlorophylls (673 nm) and assuming a Boltzmann distribution of the excited states, Neff is reduced to ~125 (see, e.g., Schatz et al., 1988). With the values for k1 given in Table 3, k<UP><SUB>1</SUB><SUP>int</SUP></UP> can be estimated at (2-3 ps)-1, in accordance with values reported for isolated RCs (Wasielewski et al., 1989; Roelofs et al., 1991; Chang et al., 1994; Schelvis et al., 1994; Müller et al., 1996; Greenfield et al., 1997). The standard free energy difference between the primary radical pair and P680*, Delta G°,int, is given by
&Dgr;G<SUP>&cjs0715;,<UP>int</UP></SUP>=<UP>−</UP>k<SUB><UP>B</UP></SUB>T <UP>ln</UP>(k<SUP><UP>int</UP></SUP><SUB>1</SUB>/k<SUB><UP>−</UP>1</SUB>)=&Dgr;G°−k<SUB><UP>B</UP></SUB>T <UP>ln</UP> N<SUP><UP>eff</UP></SUP>, (3)
where for Neff = 125 and at room temperature the last entropy term adds ~-120 meV to the free energy gap. The diagram in Fig. 4 presents, for the three redox states of QA, the calculated free energy differences for charge separation from the excited states (ChlNP680)* and P680*. Fig. 5 is a logarithmic plot of the intrinsic molecular rate constants for the three redox states of QA (k<UP><SUB>1</SUB><SUP>int</SUP></UP> and k-1, Table 3) against the corresponding values of -Delta G°,int.



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FIGURE 4   Calculated free energy differences for charge separation from the excited states (ChlNP680)* and P680* in the states QA, Q<UP><SUB>A</SUB><SUP>−</SUP></UP>, and QAH2.



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FIGURE 5   Dependence of the intrinsic molecular rate constants for charge separation (k<UP><SUB>1</SUB><SUP>int</SUP></UP>) and charge recombination (k-1) on the driving force -Delta G°,int for the three redox states of QA (QA, Q<UP><SUB>A</SUB><SUP>−</SUP></UP>, and QAH2). Experimental points and representative error bars are from Table 3. The values of k<UP><SUB>1</SUB><SUP>int</SUP></UP> and Delta G°,int were calculated from Eqs. 2 and 3. Based on the simple exciton/radical pair equilibrium model it is assumed that the values of Delta G°,int for back reactions equal -Delta G°,int for forward reactions.

It should be emphasized that the values of Delta G° and Delta G°,int, as well as for all molecular rate constants, are calculated based on the simple exciton/radical pair equilibrium model (Scheme 1). This model accounts neither for a possible intermediate in electron transfer between P680 and Pheo nor for energetic relaxation of the primary radical pair. These phenomena exist in bacterial RCs (Woodbury and Parson, 1984; Peloquin et al., 1994; Holzapfel et al., 1989, 1990; Holzwarth and Müller, 1996), and the strong structural and functional similarity of PS II and purple bacterial RCs suggests that they may also exist in PS II, although this has not been established. Controversial interpretations about the existence of relaxation of the RP were given in papers describing primary reactions in PS II membranes (Roelofs and Holzwarth, 1990; Vass et al., 1993, Yruela et al., 1996) and in isolated RCs (Booth et al., 1991; Schelvis et al., 1994; Müller et al., 1996). During relaxation the free energy level of the primary radical pair decreases with time, most probably due to the dielectric response of the protein, and -Delta G°,int increases. In this case the -Delta G°,int for the forward and backward electron transfer would be different. However, if there is no intermediate, and relaxation for times shorter than several nanoseconds may be neglected, one could assume the reorganization energy lambda  and |Delta G°,int| to be the same for the forward and backward reaction and fit the points in Fig. 5 with a Marcus parabola (Marcus, 1956; Marcus and Sutin, 1985). Such a fit would give a value for the reorganization energy lambda  of ~120 meV. In the framework of this analysis the weak dependence of the charge separation rate k<UP><SUB>1</SUB><SUP>int</SUP></UP> on the redox state of QA (Fig. 5) is consistent with the activationless character of this reaction occurring with a rate near its optimum value (lambda  = -Delta G°,int). This is typical of primary charge separation reactions in photosynthetic RCs (Krishtalik, 1989).


    CONCLUSIONS
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
CONCLUSIONS
APPENDIX 1
APPENDIX 2
REFERENCES

The results of this work show that in intact PS II the yield of charge separation is strongly diminished when the primary quinone acceptor is singly reduced. This behavior might have a physiological role. Under high light conditions it minimizes formation of P680+ and 3P680 (triplet form of P680) by fast charge recombination to the excited state. Fast recombination to the ground state is probably not a possible alternative for reactions within the RC, as the latter has to be optimized for high quantum yield of charge separation and stabilization under normal conditions. However, highly efficient, Delta pH-dependent quenching processes based on fast nonradiative dissipation of excitation energy exist in the antenna (Mullineaux et al., 1993). The prevention of P680+ and 3P680 formation is essential in PS II because of the high oxidizing power of P680+ and the risk of formation of reactive oxygen species by reaction with 3P680, both potentially leading to severe damage of the protein. A reduced yield of RP formation is therefore a protection mechanism. Even with this and other protection mechanisms, PS II becomes degraded and permanently has to be rebuilt as apparent from the rapid turnover of the D1 protein (for a review see Andersson and Barber, 1996). On the other hand, double reduction of QA results in a high yield of RP formation. It probably occurs only under extreme conditions and might be a precursor state for photoinhibition and degradation of PS II (e.g., Vass et al., 1992).

A comparison of the RP yield in the different redox states of QA reveals the effect of electrostatic interactions within the RC protein. Due to a relatively low dielectric constant, the Coulomb interaction can amount to ~100 meV for a distance on the order of 15 Å. The change in the free energy is large enough to cause significant modifications of the electron transfer rates, except those that are kinetically optimized. This internal modulation of Delta G° gives, in principle, access to the reorganization energy in a way analogous to the application of an external electric field (Feher et al., 1988; Franzen et al., 1990; Dau et al., 1992) with the advantage that it is experimentally much easier to perform. Still another possibility to modify Delta G° would be to introduce in a controlled way charges in the protein by site-directed mutagenesis. This approach has been used successfully to modulate the midpoint potentials of cofactors and even the electron transfer pathways in RCs from purple bacteria (for a review see Woodbury and Allen, 1995).


    APPENDIX 1