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


*Section de Bioénergétique, DBCM, F-91191
Gif-sur-Yvette Cedex, France; and
Institute of Physics,
Adam Mickiewicz University, 61-614 Poznan, Poland
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ABSTRACT |
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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
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
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
G° than the rate of primary charge separation.
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INTRODUCTION |
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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 (
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
; 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
(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
is the
apparent time constant in the exponential function exp(
t/
), 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
; 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
) 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
) 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

and the
equilibrated excited state (ChlNP680)* for the
three redox states of QA are calculated and
discussed.
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MATERIALS AND METHODS |
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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) = 

i),
n = 2 or 3, convoluted with the apparatus response. The
values of the parameters ai and
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
; 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
). The apparent
parameters were determined by an iterative fit procedure as described
before for analysis of the fluorescence kinetics.
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RESULTS |
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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
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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


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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
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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
; Pokorny, 1994
).
Single reduction of QA before the flash by
addition of dithionite (Fig. 2 A, trace
Q
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




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

(see below); Eq. A4), and the time
constants of the two phases were
1 = 220 ps
and
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
(
1 = 180 ps) and a time constant of
2 = 5.5 ns for its decay. The data are well
fitted by a value of A
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



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
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DISCUSSION |
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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
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



;
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,
, for the three redox states of
QA (Table 1) are in good agreement with
literature data. Compared with the oxidized state, the values of
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
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
(QAH2)/
(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 II
and PS II
; 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
II
(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 II
.
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
1 and
2.
Taking into account the relative amplitudes of the photovoltage traces
in the states QAH2 and Q

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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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
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
-centers compared with that of
-centers
(Roelofs et al., 1992
). Upon single reduction of
QA in PS II
,
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 II
although
the membranes had been prepared from PS II
containing grana
fragments. In thylakoids, PS II
is located in the stacked grana
region of the thylakoids, whereas PS II
is located in the unstacked
stroma regions, and evidence for a reversible conversion of PS II
to
PS II
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
The rate k2 is not very well defined
in the state Q
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

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
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,
G°, between the states
P680+Pheo
and
(ChlNP680)* in the intact photosystem:
|
(1) |
G° is negative and of similar magnitude for the states QA and
QAH2, whereas for the state
Q
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
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
|
(2) |
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
1, in accordance with values reported for isolated RCs
(Wasielewski et al., 1989
G°,int, is given
by
|
(3) |
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
1, Table 3) against the
corresponding values of 
G°,int.
|
|
It should be emphasized that the values of
G° and
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

G°,int increases. In this case
the 
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
and
|
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
of ~120 meV. In
the framework of this analysis the weak dependence of the charge
separation rate k
= 
G°,int). This is
typical of primary charge separation reactions in photosynthetic RCs
(Krishtalik, 1989
).
| |
CONCLUSIONS |
|---|
|
|
|---|
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,
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
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
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 |
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