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Biophys J, June 2002, p. 3186-3197, Vol. 82, No. 6



*Institut für BioMolekulare Optik, Sektion Physik,
Ludwig-Maximilians-Universität, D-80538 München, Germany;
and
Max-Planck-Institut für Biochemie, Am
Klopferspitz 18a, D-82152 Martinsried, Germany
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ABSTRACT |
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Femtosecond spectroscopy in combination with
site-directed mutagenesis has been used to study the dynamics of
primary electron transfer in native and 12 mutated reaction centers of
Blastochloris (B) (formerly called
Rhodopseudomonas) viridis. The decay times of the
first excited state P* vary at room temperature between of 0.6 and 50 ps, and at low temperatures between 0.25 and 90 ps. These changes in
time constants are discussed within the scope of nonadiabatic electron
transfer theory using different models: 1) If the mutation is assumed
to predominantly influence the energetics of the primary electron
transfer intermediates, the analysis of the room temperature data for
the first electron transfer step to the intermediate
P+B
= 600 ± 200 cm
1 and
a free energy gap
G ranging from
600 cm
1
to 800 cm
1. However, this analysis fails to describe the
temperature dependence of the reaction rates. 2) A more realistic
description of the temperature dependence of the primary electron
transfer requires different values for the energetics and specific
variations of the electronic coupling upon mutation. Apparently the
mutations also lead to pronounced changes in the electronic coupling,
which may even dominate the change in the reaction rate. One main
message of the paper is that a simple relationship between mutation and a change in one reaction parameter cannot be given and that at the very
least the electronic coupling is changed upon mutation.
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INTRODUCTION |
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The primary photochemical event during
photosynthesis in bacteriochlorophyll-containing organisms is a
light-induced charge separation within a transmembrane protein complex
called the reaction center (RC). In purple bacteria the protein complex
contains at least three protein subunits referred to as L, M, and H,
according to their respective degrees of mobility in sodium dodecyl
sulfate-polyacrylamide gels. Associated with the L and M subunits are
the cofactors, consisting of four bacteriochlorophylls (BChl), two
bacteriopheophytins (BPhe), one atom of nonheme ferrous iron, and two
quinones. Most investigations dealing with purple bacterial
photosynthesis were performed on the RC of Rhodobacter
(Rb.) sphaeroides, Rb. capsulatus, and
Blastochloris (B., formerly called
Rhodopseudomonas) viridis, respectively. (While
Rb. sphaeroides and Rb. capsulatus contain BChl-a and BPhe-a as tetrapyrroles in B. viridis BChl-b and BPhe-b are incorporated.)
The cofactors are arranged in two branches with an approximate
C2-symmetry called the A and B branch (for details of the crystal structure see Ermler et al.
(1994)
and Fig. 1).
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The dynamics of the light-induced electron transfer steps have been
investigated by time-resolved spectroscopy over the last two decades.
Optical excitation leads to the transfer of an electron away from a
pair of strongly coupled bacteriochlorophyll molecules, the so-called
special pair P in ~2.2 ps (Breton et al., 1986
; Dressler et al., 1991
). Improved techniques yielded
further details about the decay of the first excited electronic state
P*: Deviations from a monoexponential decay (Du et al.,
1992
; Hamm et al., 1993
; Jia et al.,
1993
; Ogrodnik et al., 1994
; Beekman et
al., 1995
) and oscillatory contributions at low temperatures
(Vos et al., 1991
, 1992
, 1993
;
Spörlein et al., 1998
) were also reported. The arrival of the electron at the bacteriopheophytin
HA on the A branch is observed in the time range
of 3 to 4 ps after electronic excitation (Breton et al.,
1986
; Fleming et al., 1988
; Holzapfel et
al., 1989
, 1990
).
In a series of publications it has been established that the reaction
does not directly lead to
P+H
,
1990
; Dressler et
al., 1991
; Schmidt et al., 1993
; Arlt et al.,
1993
).
For the RCs of Rb. sphaeroides and Rb.
capsulatus, investigations of mutant or chromophore exchanged RCs
yielded information on the energetics and the mechanism of
photosynthetic electron transport (Bylina et al., 1988
;
Nagarajan et al., 1990
, 1993
; Gray et al., 1990
; Finkele et
al., 1990
; Lauterwasser et al., 1991
;
Farchaus et al., 1993
; Jia et al., 1993
;
Heller et al., 1995
; Woodbury et al.,
1995
; Huber et al., 1998
; Spörlein
et al., 2000
). For example, RCs with exchanged pheophytins
allow to estimate the free energy difference between P* and
P+B
450 cm
1 was found in Rb.
sphaeroides (Schmidt et al., 1993
,
1994
).
For B. viridis it has been shown that electron transfer
times are in the same range as those observed in Rb.
sphaeroides (Dressler et al., 1991
). In RCs of
B. viridis the first electron transfer step is similar, the
second one slightly accelerated (0.65 ps instead of 0.9 ps)
(Arlt et al., 1993
). Considering the differences between
B. viridis and Rb. sphaeroides RC in pigment
(BChl-b versus BChl-a) and protein composition
(only 50-60% sequence identity of the L- and M-subunits), the good
agreement in the time constants is surprising.
While mutant RCs of Rb. sphaeroides and Rb.
capsulatus have now been available for over a decade, the
construction of a variety of mutant RCs of B. viridis has
been achieved only in the midnineties (Laußermair and
Oesterhelt, 1992
; Dohse et al., 1995
).
To study the energetics and transfer mechanism in RC of B. viridis in more detail, we used femtosecond spectroscopy at
different temperatures together with site-directed mutagenesis. Most
calculations dealing with the primary photosynthetic reaction are
carried out on the basis of an improved structure of B. viridis (resolution of 2.3 Å (Lancaster and
Michel, 1997
)), and in some cases the structure of the mutant
RC from B. viridis is now available (Kuglstatter et
al., 1999
; Lancaster et al., 2000
). Therefore,
our experimental results can be directly compared with theoretical
calculations (Parson and Warshel, 1993
).
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MATERIALS AND METHODS |
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Native and mutant RCs of B. viridis were prepared as
described previously (Ditta et al., 1985
;
Dressler et al., 1991
; Laußermair and
Oesterhelt, 1992
). Electrochemical redox titrations were
carried out with the set-up described in Wachtveitl et al.
(1993b)
.
The transient absorption experiments in the subpicosecond time range
were performed at room temperature by a laser-amplifier system based on
a CPM dye laser (Schmidt et al., 1993
). The basic features of the system are: a repetition rate of 50 Hz, an excitation wavelength
exc = 960 nm in the low energy
QY(P) band, probing pulses in the
range between 660 and 1050 nm, and a width of the instrumental response
function of 250 fs.
The experiments were performed with parallel polarization between
pump and probe pulses. For the room temperature experiments, the sample
was held in an optical cell with a 1-mm pathlength and stirred
continuously. For measurements at cryogenic temperatures, the samples
contained 52% (v/v) glycerol as a cryoprotector and 0.32 M benzyl
viologen to prereduce the quinones thus avoiding the accumulation of
long-lived photoproducts. The addition of glycerol and benzyl viologen
slowed down the electron transfer dynamics by ~10% compared with
measurements without glycerol and benzyl viologen. The concentration of
the RCs was adjusted to yield a sample transmission of
T
10% at 960 nm (
50 µM). Approximately 15%
of the RCs in the irradiated volume were excited. For modeling of the
ultrafast reaction dynamics, nonadiabatic electron transfer (ET) theory
(Marcus and Sutin, 1985
; Bixon et al.,
1991
, 1995
) is applied
and the reactions are described by a rate equation system
(Schmidt et al., 1995
). The intermediates
Ii and Ij of the ET
processes are connected by microscopic rates
ij. The
rates measured in the time-resolved experiments correspond to the
eigenvalues ki = 1/
i of the
rate matrix. They are not identical with the microscopic rates when
branching, backward rates, or recombination processes are involved
(Schmidt et al., 1995
). For the theoretical modeling of
the transient absorption data a sum of exponentials weighted with
amplitudes and convoluted with the instrumental response function is used.
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RESULTS |
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Investigated mutants
In this study we concentrated on RCs mutated around the special pair and the adjacent monomeric BChl-b pigments BA and BB. The positions of the exchanged amino acids within the RC are depicted in Fig. 1. The mutants can be divided into four groups.
RCs with a modified hydrogen bonding pattern to the special pair
There are three amino acids donating hydrogen bonds to the bacteriochlorophylls PM (= PA) and PL (= PB) of the special pair in B. viridis (Lancaster and Michel, 1997
F (L168HF), M195Y
F (M195YF), M195Y
H (M195YH), and the double mutant
L168HF/M195YF.
RCs mutated at the positions L181 and M208, key positions located between P, BA and HA, and P, BB and HB, respectively
In wild type (WT), we find a nonpolar phenylalanine at the inactive branch (position L181) and a polar tyrosine at the active branch (position M208). Calculations from Parson and coworkers showed that the main effect of the polar tyrosine is to lower the energy level of P+B

RC with a modified binding pocket of the bacteriochlorophyll BA
Histidine L153 is known as the ligand of the Mg-atom of the bacteriochlorophyll BA. The replacement of histidine by leucine leads to the incorporation of a bacteriopheophytin in the BA-binding pocket of the L153HL mutant. The L153 mutants were discussed in detail elsewhere (Arlt et al., 1996bRC mutated at position L162 located between the special pair P and the proximal heme c-559, which reduces the photooxidized special pair after primary charge separation
Mutations at this position are expected to have smaller, probably electrostatic effects on the energetics and the electron transfer rate from P to B/H. We investigated the mutants L162YF and L162YG.Steady-state characterization
Optical absorption spectra
In general, the absorption spectra of mutant and WT RC are quite similar and spectral shifts occur only in the range of few nanometers, indicating that the structure of the protein near the chromophores is not drastically changed. Larger shifts are observed only in the QY(P) bands of the RCs with hydrogen bonds removed (group 1 mutants) and for the mutant L153HL, where the introduced bacteriopheophytin leads to a shift of the QY(B) band (~15 nm) towards shorter wavelengths (for details see Arlt et al. (1996b)
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Electrochemical redox titrations
The redox midpoint potentials of the primary donor (P/P+-potentials) of the various samples are also summarized in Table 1. The absolute value of the redox potential for the WT RC is 520 ± 10 mV. Table 1 shows that larger changes (
UP/P+ > 30 mV) of the
P/P+-midpoint potential occur only in the mutants with
altered hydrogen bonds. The removal of a hydrogen bond results in a
decrease of the
UP/P+ in the range of 40 to
80 mV. A hydrogen bond obviously stabilizes the neutral state of the
special pair P. However, comparing the values obtained for L168HF and
the double mutant L168HF/M195YF we find that the effects are not
additive. This indicates that additional structural changes are induced
by the double mutation.
The mutants of the other groups show relatively small (group 2) or
negligible (groups 3 and 4) differences in the P/P+ redox
potential. This observation supports calculations (Parson et
al., 1990Femtosecond spectroscopy
Time resolved experiments have been performed at probing
wavelengths characteristic of the different ET steps (Dressler
et al., 1991
). For the modeling of the transient absorption
changes we used time constants
i, i = 1, ... 4 connected to the different reaction steps
(
1, decay of P* and ET from P* to
BA;
2, ET from BA to HA;
3, ET from HA to
QA; and
4, (=
), long lasting
absorption changes). The set of time constants for each mutant was
determined globally from the data recorded at the different probing
wavelengths. They are summarized in Table
2.
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At certain probing wavelengths single reaction steps dominate the
observed absorption changes: The population of the excited electronic
level P* of the special pair can be investigated via its
stimulated emission (gain) in the long wavelength region of the special
pair QY-band (1020-1050 nm). Fig.
2 presents some examples of the detected
transient absorption changes of the mutant RC. In general,
monoexponential fit functions (time constant
1) do not
reproduce all the details of the absorption changes related to the
P* decay. Thus, a biexponential fit function was used (time constants
1A,
1B), as has been
successfully applied in previous studies (Jia et al.,
1993
; Hamm et al., 1993
). Except for the mutants
M195YF, M208YF, and M208YL the amplitude a1A of
the faster decay component dominates. Both the relative amplitudes
a1A and a1B (of the time
constants
1A and
1B) and the relative
values of the time constants themselves determine the deviation from a
mono-exponential decay. The P* population
NP*(t) is given by:
|
(1) |
1A
and
1B with the normalization
NP*(0) = 1 or
a1A + a1b = 1. Often, the monoexponential decay constants
1 are
sufficient for a qualitative estimate for the lifetime of the excited
electronic level P*. The data evaluation reveals the
qualitative trend that larger deviations from a monoexponential
function were observed in the mutants with a slower P*
decay. This agrees well with results obtained on mutated RCs of
Rb. capsulatus (Jia et al., 1993
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We find dominant decay times of P* (see Table 2) between 0.6 and 50 ps (1.8 ps is the value for WT). The removal of a hydrogen bond
to the special pair generally leads to an acceleration of the
P* decay (mutants L168HF, M195YF, and double mutant
L168HF/M195YF). This double mutant shows the fastest P*
decay with
1 = 0.8 ps (monoexponential fit) or
1A = 0.6 ps (biexponential fit). Such a drastic
acceleration by a factor 3 to 5 as compared with WT (monoexponential
fit) was not observed for the corresponding mutants of Rb.
sphaeroides (Woodbury et al., 1994
;
Murchison et al., 1993
).
In qualitative agreement with the M208-mutants of Rb.
capsulatus (Jia et al., 1993
) and the M210-mutants
of Rb. sphaeroides (Wachtveitl et al., 1998
;
Beekman et al., 1996
; Finkele et al., 1990
; Jia et al., 1993
; Nagarajan et al.,
1990
) the replacement of the tyrosine (Y) at the position M 208 by a phenylalanine (F) or leucine (L) slows down the first electron
transfer step by a factor of 6 to 10. In contrast, the introduction of
an OH-group in the mutant L181FY accelerates the transfer twofold.
The temperature dependence of the P*-decay was measured for
wild-type RCs, the mutants M195YF, L181FY, L168HF, M208YF, and for the
double mutant L181FY/M208YF (for a summary of the data see Fig. 4 and
Table 3). Whereas WT and the mutants
M195YF, L181FY, and L168HF show an accelerated P*-decay at
lower temperatures, the double mutant has a temperature-independent
decay with a time constant
1a = 3 ps. For the
mutant M208YF the dominant component
1b slows down from
50 ps at room temperature to 90 ps at 100 K.
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At probing wavelengths around 940 to 970 nm, i.e., at the center of the
QY(P)-band, the decay of
P* and the recovery of the ground state absorption of
P is measured. In WT RC (dotted lines in Fig.
3) the bleaching of the
QY(P) absorption remains constant apart from a small contribution of stimulated emission in the picosecond range, i.e., nearly all P* are converted to the
P+ product. In mutants with a slow P*
decay (
1 > 12 ps; e.g., M208YL, M208YF) a
considerable part of the ground state absorption recovers on the
picosecond-time scale (Fig. 3, B and C) pointing
to a decreased formation of P+. Mutants with a
shorter lifetime of P* (
1 < 10 ps) show
the same behavior as WT RC (for example L181FY, Fig. 3 A).
The levels reached after a delay time of 1 ns indicate that the quantum
yield for P+Q
) is
reduced to 65 ± 10% (M208YL) and 75 ± 10% (M208YF) in the
mutants. Because the direct recombination times from the intermediate
states P+H

), the reduced quantum yield after
1 ns must be due to recombination events via early intermediate states
(see below).
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DISCUSSION |
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In this paper we have studied the primary step of the ET reaction in WT RCs from B. viridis and in 12 mutants. The data are supplemented by the low temperature data on WT and five mutant RCs. The different mutations lead to a considerable change in the primary reaction dynamics. A speeding up of the ET to a reaction time at low temperatures of 250 fs was observed as well as a slowing down to time constants of 90 ps.
ET in photosynthetic RC is usually treated by the nonadiabatic theory,
where three important parameters, the electronic coupling V,
the reorganization energy
, and the gain in free energy
G determine the reaction rate. Several publications have
evaluated the effect of mutations on the reaction dynamics. In most
cases the mutation was assumed to predominantly influence the gain in free energy
G (Jia et al., 1993
;
Bixon et al., 1995
).
After a general description of ET theory we will describe the ET
reaction in the reaction centers using the approach with constant
and V. However, we will show that the temperature-dependent ET rates cannot be explained within this model, and we suggest that the
mutations strongly influence the electronic coupling.
Theoretical description of ET reactions
To obtain information on the molecular parameters of the first
reaction step we will discuss the dominant component
1A
of the biexponential decay function with the help of nonadiabatic electron transfer theory (Marcus and Sutin, 1985
;
Bixon et al., 1991
). In the high temperature limit, the
transfer rate constant k depends on the free energy
difference
G between the product and reactant states, and
the temperature T according to the expression
|
(2) |
the
reorganization energy, and V the electronic coupling matrix
element (Marcus and Sutin, 1985
G is a parabola (Marcus parabola): the rate
k reaches a maximum for
G = 
(nonactivation case). The region with 
G <
is
called the activated or normal region, whereas the region

G >
is known as inverted region. The
classical Marcus expression for the high temperature Franck-Condon factor is modified if the available excess energy is transferred into
additional intramolecular vibrational modes with nonvanishing Franck-Condon factors. This model is required for the description of
energetic situations where the first intermediate is well below the
electron donor. These modes are considered via an effective high
frequency mode
H. In this model the Franck-Condon factor in the high temperature limit kBT

is given by (Bixon et al., 1988
|
(3) |
H is the frequency and
SH a measure for the coupling of the coupling
strength of the high frequency mode. In the following we will use the
values
H = 1500 cm
1 and
SH = 0.5 (Bixon et al,
1995Temperature dependent ET reactions were only recorded for mutants with
small gain in free energy. Therefore we do not consider high frequency
modes (single mode picture) and fit the temperature dependent data with
the semiclassical Hopfield formula 4, which is simpler to evaluate but
yields (for the range of parameters used here) a very good
approximation of the exact equation (Hopfield, 1976
;
DeVault, 1984
):
|
|
(4) |
|
(5) |
Modeling of the ET reactions, model A: room temperature rates of
different mutants fitted with constant V and
The decay times of the dominant components
1A of
the various mutants are used here to determine the relevant parameters
of the primary electron transfer via Eqs. 2 and 3. Because these equations contain a series of reaction parameters, several assumptions are necessary to reduce the number of free parameters. At first we
follow the most common approach used for the RCs of Rb.
sphaeroides and Rb. capsulatus (Williams et al.,
1992
; Jia et al., 1993
; Bixon et al.,
1995
; Zinth et al., 1998
). It is supposed that
the electronic coupling V and the reorganization energy
are the same for all mutants. Thus, the mutations act only on the free
energy difference
G, which can be deduced from the
measured P/P+ midpoint potential. The
variations of the QY(P) absorption
band are not considered when estimating the energy levels. This
procedure is justified, since no large changes occur for mutants of
group 2 to 4 and since it has been shown that the observed shifts of the group 1 mutants are not directly correlated with the energy level
of P* (Mattioli et al., 1995
;
Wachtveitl et al., 1993a
). In this model the only
relevant parameter to be determined is the energy difference between
P* and
P+B
G
between Gmut(P*) and the first transfer product
Gmut(P+I
)
of a mutant is given by:
|
(6) |
GWT(P+I
)
is the absolute energy difference between
G(P+I
) and
G(P*) in WT and 
G the relative
energy difference induced by the mutation. The relative changes

G in the free energy of the first ET step can be
estimated for several situations: if the energy level of P* and the
molecular nature of the chromophores are not affected by the mutation,
the standard free energy change 
G of a
P+ containing intermediate state
(P+I
) can be estimated
by the change of the P/P+ midpoint
redox potential
UP/P+:
|
(7) |
UP/P+ > 0) corresponds to
an increased energy of the intermediate state
P+I
in the
corresponding mutant. It should be noted that influences on the energy
of the chromophore I can not be recorded by measuring the
P/P+ redox potential. However, if a
mutation leads to the incorporation of a different chromophore, the
free energy change can be estimated by:
|
(8) |
UChrom is the in situ
difference of the midpoint redox potential of the exchanged
chromophores. For those cases, where an estimate of the in vivo
difference of the midpoint potential is not possible, it is necessary
to use the in vitro value (e.g., in dimethylformamide). Only in the
L153HL RC the mutation results in a chromophore exchange and a value of
UChrom
0 has to be considered.
Because BPhe-b in dimethylformamide has a substantially more
negative one-electron reduction potential (
0.5 V) than
BChl-b (
0.7 V) (Geskes et al.,
1995

G(P+B
1600 cm
1. In this context, it must be noted that
the absolute value of a redox midpoint potential strongly depends on
the solvent used. However, the difference of the midpoint potentials of
two chromophores, which is used here for the energy estimate, does not
significantly depend on the solvent.
A reasonable estimate of the real free energy change 
G
by the P/P+ midpoint potential is not
possible for every mutant (Bixon et al., 1995
). As a
consequence we have to discard "poor" mutants. There are two types
of mutated RC that are not considered for the energy estimates.
1) Double mutations are supposed to induce larger geometrical changes.
For these mutants, it is not possible to maintain the hypothesis of a
nearly unchanged electronic coupling V. We will see below
that, even for the other mutants, changes in V may become important. 2) Mutants where the modification is not restricted to
P/P+. Here the measured
P/P+ potential is not sensitive to
the changes on the other chromophores. The energy estimates within
these mutant RCs cannot be accurate. This is the case for the M208
mutants (see below), where we determine
G from the
temperature dependence (Fig. 4). For
L153HL RC, the energetic changes on BA can be
accounted for by the redox potential of the introduced
bacteriopheophytin (Eq. 6).
|
The estimated relative energy changes 
G (according to
Eqs. 7 and 8 of the selected mutants are shown in Table 1. These values, the observed decay constants
1A and Eqs. 2 and 6
yield a data set with 9 equations and the 3 unknown parameters
,
V1 and C. A least squares fit
produces a Marcus parabola (Eq. 2) with the following parameters:
= 600 cm
1 ± 200 cm
1,
V = 30 cm
1 ± 8 cm
1,
and C =
55 ± 250 cm
1.
Because
G(P+H
1 and 2000 cm
1 below G(P*) (Ogrodnik et
al., 1994
), one important consequence of a value
C =
G(P+I
)WT =
55 cm
1 is that the first electron transfer product
cannot be P+H

The measured decay constants
1A versus the estimated
energy differences are plotted together with the modeled Marcus
parabola in Fig. 5 (broken curve). The
minimum of the parabola is at
G = 
=
600
cm
1. Interestingly, this procedure places the WT RC in
the activated region of the curve. On the other side, the introduction
of a bacteriopheophytin instead of the bacteriochlorophyll at the site BA in the L153HL mutant places the primary
electron transfer reaction of this RC in the inverted region. The good
agreement between most room temperature data points and the modeled
parabola could be used as a justification for the assumption of nearly
constant values of
and V for the selected "good"
mutants.
|
If the multimode model is used to fit the data, we obtain the solid
curve in Fig. 5 a. A least squares fit using Eq. 3 and
H = 1500 cm
1 and
SH = 0.5 yields values of
= 600 cm
1 ± 200 cm
1, V = 37 cm
1 ± 10 cm
1, and C =
55 ± 250 cm
1. The most striking difference
between the classical parabola and the multimode case is that in the
latter case the mutant L153HL is much closer to the theoretical curve.
In conclusion, both models yield reasonable results and can explain the
room temperature data.
The ET parameters for most RCs, especially for the wild-type RC,
correspond to a thermal activation of the primary ET reaction step (Eq. 2). From the reorganization energy and the free energy difference
obtained in the classical Marcus case and in the multimode picture, we
can estimate an activation energy EA = (
G(P+B
)2/4
180 cm
1 for the WT RC.
In the single mode picture, this activation energy would slow down the
primary ET steps significantly when the sample is cooled. For most
other mutants the primary reaction is also activated, and a similar
slowing down is expected. It should be noted that in the case of a
significant gain in free energy (|
G|
,
inverted region) the multimode model could avoid the slowing down of
the primary ET reaction at lower temperatures for a specific choice of
the reaction parameters. However, the small gain in free energy in the
investigated mutants do not favor this explanation for ET to
BA. Structural reorganization of a network of
water molecules associated with the slower rereduction of
P+ by cytochrome were suggested to explain the
temperature dependence of this slow (
10
6 µs) ET
reaction (Ortega et al., 1998
).
Even if we cannot fully rule out changes in reorganization energy
as an influence upon the primary reaction, the rigid environment of the
primary electron carriers (Deisenhofer and Michel, 1989
) requires an alternative explanation. Therefore, a temperature dependence of the reorganization energy
will not be discussed in
the following.
Modeling of the ET reactions, model B: temperature dependence of the initial electron transfer reaction fitted with temperature independent parameters
The primary reactions (dominating component) of various RCs (WT,
L181FY, M195YF, L168HF) are accelerated at low temperatures. Therefore,
these reaction centers should have negligible activation energies
EA

. Since this observation is in
contradiction with the activation energies calculated above in section
B, we have to consider alternative reaction parameters compatible with
the experimentally observed temperature dependencies. To simplify the
analysis, we first assume that the reorganization energy (the same
value
= 600 cm
1 ± 200 cm
1 is
used for all mutants) and the various electronic couplings are
independent of temperature. The analysis yields a qualitative description of the temperature dependencies with
= 600, 
= 150 cm
1 for all samples. Here 
was
determined from the temperature dependence of the nonactivated mutants
at low temperatures (<100 K), where no deviation from the theoretical
model is found. The individual free energies and electronic couplings
of the different mutants are given in columns 3 and 4 of Table
4. As expected, the results for
G are inconsistent with the analysis according to model A
(see Table 4, column 2). In addition, the electronic couplings vary
considerably upon mutation. Even with these temperature-independent parameters the experimental data and model curves do not agree perfectly (see Fig. 4, at higher temperatures). Often the observed acceleration of the reaction rates toward low temperatures is higher
than described even by the activationless ET theory. This discrepancy
may result from the assumption of temperature-independent electronic
couplings. Indeed, the experimental data of Fig. 4 may be well modeled
if the couplings V decrease gradually between 150 and 300 K.
|
M208YF is the only mutant studied that shows a slowing down of the ET
reaction at lower temperatures. The simulation of this temperature
dependence simply by using Eq. 4, however, is not successful, as a
strong increase in reaction time at temperatures between 300 and 150 K
requires a high activation energy, which would lead to an even stronger
increase in reaction time at the lower temperatures. The leveling of
the reaction time suggests that at low temperatures another reaction
channel with
90 ps dominates the decay of P*. The
fitting curve in Fig. 4 uses two decay channels for P*: the
first one is thermally activated ET according to Eq. 4 with the
parameters given in Table 4, whereas the second one is temperature
independent with
= 90 ps. This additional decay path of
P* may be connected with an internal conversion of
P* to ground state P or to a direct superexchange ET to state P+H
).
Towards more consistent reaction models
In the discussion above several assumptions have been made to
reduce the number of free parameters for the modeling of the ET
reaction for different mutants and different temperatures. From the
contradictory values of the reaction parameters, which result with
simplifying model assumptions we can conclude that these assumptions
are not adequate to describe photosynthetic ET. As a consequence, only
qualitative conclusions may be drawn about the reaction parameters. For
example, the low temperature data indicate that the electronic coupling
for the first ET reaction is influenced by the temperature change.
Considering this observation, it becomes evident that mutations with
weak structural changes may also modify the electronic coupling
V. Thus, the commonly used strategy underlying model A is
inadequate, and the results on the energetics deduced from model A (see
Fig. 5 for RC of B. viridis) have to be questioned. For the
RCs of Rb. sphaeroides and Rb. capsulatus
(Williams et al., 1992
; Jia et al., 1993
;
Bixon et al., 1995
; Zinth et al., 1998
)
similar arguments may apply.
Nevertheless, the analysis of the different mutated RCs at different temperatures yields an important qualitative insight to the reaction parameters, as only certain combinations of parameters are consistent with the observations.
Electronic coupling V
The experiments indicate that V varies with mutation and temperature. Apparently both processes influence the structural (nuclear and electronic) arrangement of the RC. The high sensitivity of V to subtle conformational rearrangements leads to significant changes of the ET dynamics (Kolbasov and Scherz, 2000
1.
Reorganization energy
make the electron transfer reaction very
sensitive to changes in free energy
G. On the other hand,
large values of
require a large gain in free energy to ascertain an activationless reaction which requires
G = 
.
The numerous model calculations and the known energetics of
intermediate P+H
for the initial ET of the wild-type RC in the range of
= 800
400 cm
1. Stronger deviations from
this value lead to inconsistencies when describing temperature or
mutation dependencies. To some extent,
may vary with temperature or
mutation, however a systematic dependence could not be found.
Gain in free energy
G
G. As shown above, several mutant
RCs react activationless even if the procedure to determine
G from model A yielded significant differences. For a
consistent picture one has to suppose that the model assumptions used
in model A (V and
set to be constant) are inadequate
and, as a consequence, the calculated reaction parameters, especially
the energetics, (see Fig. 5) do not always reflect reality. At the
present state of the experiments it appears that only qualitative
conclusions can be drawn on the energetics, placing some mutants
(M208YF, M208YL) well above the wild-type RCs, others below or close to wild type, which should be nearly activationless,
G ~ 
.
Optimization of the primary reaction
For high quantum efficiencies
of the total photosynthetic
reaction chain (it has been shown for WT B. viridis that
amounts to 97% (Trissl et al., 1990
)) the primary
reaction steps themselves have to occur with highest quantum efficiency
P* for initial charge separation. Quantum efficiency in
the very first step is reduced if competing recombination channels
(with rates
10) reduce the probability of successful
charge separation processes. For a first step with an ET rate
12
P* can be estimated to be:
P* =
12/(
12 +
10). When the ET rate
12 is reduced (at a
fixed recombination rate
10), the quantum efficiency
drops and the decay of P* (rate
1 = 1/
1 =
12 +
10)
is slowed down (Gray et al. 1990
). The presented
absorbance changes in the QY(P) band of the M208 mutants at room temperature (Fig. 3) indicate that such a
direct ground state recombination is important in the RC of B. viridis. The slow primary charge separation reaction in the M208YF
and M208YL mutants is connected with an increase of the ground state
recombination yield. The change in the long lasting absorbance observed
in the special pair band (see Fig. 3) has been used to determine the
quantum yield in the M208YL and M208YF mutants to be ~ 65% ± 10% and 75% ± 10%, respectively. These data point to a direct
ground state recombination rate of
10
1/(80 ps ± 30 ps). The additional decay channel used to explain the reaction time at low temperatures in the mutant M208YF of
1 = 90 ps would be in full agreement with this
finding. However, the treatment (by glycerol and benzyl viologen) of
the samples used for the low temperature experiments may influence the
absorption dynamics at long delay times. Therefore, we cannot finally
decide if the limiting
= 90ps process necessary to fit the
data of M208YF at low temperatures is related with internal
conversion or with a direct superexchange ET to the
BPhe-a HA.
Considering the efficiency
P* of the first ET
step, it is surprising that evolution did not lead to a RC
corresponding to the mutant L168HF, where
P* is somewhat
larger than in WT RC. In this context it should be taken into
consideration that the efficiency of photosynthesis in a bacterium does
not only depend upon the efficiency of the initial reaction. For a
linear reaction model of the photo-induced reactions in photosynthesis,
the overall efficiency of the total reaction chain depends on the
forward and backward reaction of each step including the energy
transfer from the light harvesting complex. To obtain an efficient
energy transfer from the antenna to P* the energetic levels
of the two pigment-protein complexes have to be adjusted for optimum
excitation transfer. Apparently, this energy transfer is optimized for
the absorption spectrum of WT RC, whereas for the fast-reacting mutant L168HF where the P-band (see absorption peak given in Table
1) lies at shorter wavelengths than in WT, the energy transfer
efficiency from the low lying antenna to the RC should be reduced
(Arlt et al., 1996a
). As a consequence, the effect of
the increased reaction speed, which would slightly improve the quantum
efficiency for primary charge separation in the reaction center itself,
(from 97% to 98.8%) is largely overcompensated by the loss due to
poorer excitation transfer from the antenna.
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CONCLUSION |
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The large number of mutated RCs discussed in this paper has
allowed us to investigate primary photosynthesis in B. viridis over a wide range of time constants from 250 fs to 90 ps.
If hydrogen bonds to the special pair are removed, a drastic
acceleration of the first transfer step is observed. On the other hand,
we found a slowing down of the P* decay times in mutants,
where tyrosine M208 was replaced by nonpolar amino acids, which agrees
with the results on Rb. sphaeroides (Nagarajan et
al., 1990
; Finkele et al., 1990
). These slowly
reacting mutants have a reduced quantum efficiency for charge
separation, which point to a recombination channel from P*
in the 80 to 100-ps time domain. An evaluation of the whole data set
within the framework of nonadiabatic theory reveals that the commonly
made assumption of a constant electronic coupling V for all
mutants and over the whole temperature range is not correct (in
accordance with recent theoretical arguments Kolbasov and
Scherz, 2000
). One may therefore conclude that a simple
relationship between mutation and a change in one reaction parameter
cannot be given and that at least the electronic coupling is changed
upon mutation.
Qualitatively, the reaction parameters for the wild-type RC are similar
for B. viridis and Rb. sphaeroides with values of V = 20 to 35 cm
1,
= 400 to 800 cm
1, and nonactivated electron transfer
G

. The investigations convincingly show
that the primary reactions of B. viridis, i.e., a purple
bacterium which uses BChl-b and BPhe-b as
electron carriers and has accessed the ecological niche using light
beyond 1000 nm, behaves very similarly to the other reaction centers
such as Rb. sphaereoides where BChl-a and
BPhe-a are used instead of BChl-b and
BPhe-b. Not only are the reaction dynamics similar, but
mutations also lead to similar changes in the different species. The
results show that unique design criteria are used for the reaction
centers of the different bacteria.
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FOOTNOTES |
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.
Address reprint requests to W. Zinth, Institute für BioMolekulare Optik, Sektion Physik, Ludwig-Maximilians-Universität, Oettingenstr. 67, D-80538 München, Germany. Tel.: 0049-89-2180-9202; Fax: 0049-89-2180-9202; E-mail: zinth{at}physik.uni-muenchen.de.
Submitted August 7, 2001 and accepted for publication February 19, 2002.
J. Wachtveitl's present address is Institut für Physikalische und Theoretische Chemie, Johann-Wolfgang-Goethe-Universität, Marie-Curie-Str. 11, D-60439 Frankfurt, Germany.
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REFERENCES |
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