Phycoerythrocyanin (PEC) is part of the light harvesting
system of cyanobacteria. The PEC monomer contains one phycoviolobilin chromophore, which transfers excitation energy onto two phycocyanobilin chromophores. Many spectroscopical methods have been used in the past
to study the bulk properties of PEC. These methods average over many
molecules. Therefore, differences in the behavior of individual
molecules remain hidden. The energy transfer within photosynthetic
complexes is however sensitive to changes in the spectroscopic
properties of the participating subunits. Knowledge about
heterogeneities is therefore important for the description of the
energy transfer in photosynthetic systems. Here, the recording of the
fluorescence emission of single PEC molecules is used as a tool to
obtain such information. Spectrally resolved detection as well as
double resonance excitation of single PEC molecules is used to
investigate their bleaching behavior. The trans isomer of the phycoviolobilin chromophore is identified as a short-lived dark
state of monomeric PEC. Polarization sensitive single molecule detection is used for the direct observation of the energy transfer in
individual PEC molecules. The experiments reveal that more than
one-half of the PEC molecules exhibit an energy transfer behavior
significantly different from the bulk. These heterogeneities persist on
a time scale of several seconds. Model calculations lead to the
conclusion that they are caused by minor shifts in the spectra of the chromophores.
 |
INTRODUCTION |
Light harvesting systems of photosynthetic
organisms consist of protein assemblies in which structurally divers
chromophores are held in well-defined geometries. They are
electronically coupled, and their absorptions cover a wide spectral
range. A subtle interplay between different electronic coupling
mechanisms is responsible for an efficient transfer of the absorbed
energy to the reaction center. During the last two decades, results
from ultrafast laser spectroscopy in combination with structural data
provided an increasingly detailed knowledge of the energy transfer
processes in photosynthetic pigments (Fleming and van Grondelle, 1994
;
Sundström et al., 1999
). Fluorescence techniques are well suited
for investigations of such complexes, because most of them exhibit
strong fluorescence when being uncoupled from the reaction centers. The
ultrafast techniques were recently complemented by optical single
molecule spectroscopy of light harvesting complexes of a variety of
organisms (Wu et al., 1996
; Bopp et al., 1999
; van Oijen et al., 1999
;
Tietz et al., 1999
; Jelezko et al., 2000
; Ying and Xie, 1998
).
Phycobiliproteins are an important class of antenna pigments. In
contrast to chlorophyll carrying proteins, their fluorophores fluoresce
only in the intact protein environment. Denaturation of the protein
matrix consequently leads to the extinction of the fluorescence
emission. This emission behavior allows the isolation of intact
subunits from phycobiliprotein assemblies for systematic aggregation
effect studies (Scheer, 1981
; Maccoll and Guard-Friar, 1987
; Glazer,
1994
). In this work we present investigations of the photobleaching and
the energy transfer of single phycoerythrocyanin (PEC) monomers. PEC is
a short wavelength-absorbing unit of the light-harvesting complex of
certain cyanobacteria (Bryant et al., 1982
). In its native form, it
aggregates to trimers and hexamers (Duerring et al., 1990
). The PEC
monomer contains two different chromophores, phycoviolobilin (PVB), and
phycocyanobilin (PCB) (Bishop et al., 1987
; Zhao et al., 1995
). Based
on the x-ray structure of the trimer, it is an 
heterodimer in
which the single PVB is bound at position
-84 and the two PCBs at
positions
-84 and
-155 (Duerring et al., 1990
). The distances
between the centers of the chromophores are 47 Å (
-84
-84),
48 Å (
-84
-155), and 35 Å (
-84
-155) (Fig.
1). In the native state (15Z, reduced Cys-98, -99; see below), the PVB carrying
-subunit has its
absorption maximum at 566 nm and the emission maximum at 588 nm,
whereas the
-subunit with the two PCBs has absorption and emission
maxima with centers at 593 and 630 nm, respectively. The main
biological function of PEC is to transfer absorbed energy to the
reaction center. Structural and spectral data indicate that in PEC,
this energy transfer is of Förster type (Förster, 1968
;
Hucke et al., 1993
; Palsson et al., 1993
; Schneider et al., 1996
;
Parbel et al., 1997
). The coefficients for the Förster transfer
of excitation energy from
-84 to
-84 and
-155 are sensitive to
the spectral overlap and the relative orientation of the transition
dipole moments. Spectral shifts of the chromophores and varying
orientations of the transition dipole moments in PEC should therefore
give rise to variations in the energy transfer efficiencies between individual PEC molecules.

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FIGURE 1
Schematic representation of the chromophore position in
PEC based on the x-ray crystallographic structure (Duerring et al.,
1990 ) with the protein backbone as a ribbon and the chromophores as
calottes. The PEC monomer is an  -heterodimer (dark
gray). The positions of the chromophores in monomeric PEC used
in the calculations are derived from the trimer structure assuming that
no structural change of the monomer occurs upon dissociation.
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The spectroscopy of single PEC molecules avoids the ensemble averaging
encountered in bulk spectroscopy. It can thus be used to investigate
heterogeneities in the energy transfer coefficients of individual PEC
molecules. In the first part of this contribution, we use spectrally
resolved single molecule detection to investigate the photobleaching
behavior of individual PEC monomers at room and cryogenic temperatures.
A two-color experiment gives evidence that the photoisomerization of
the absorbing PVB chromophore produces the 15E form as a
dark state of monomeric PEC. The second part describes studies of the
energy transfer from the absorbing PVB chromophore to each of the two
emitting PCB chromophores in the PEC monomer. The emission
spectra of the two PCB chromophores are nearly indistinguishable,
making it difficult to determine the transfer rates with bulk
measurements. Instead we used polarization sensitive single molecule
spectroscopy (Ha et al., 1999
) of PEC monomers at room temperature to
determine the fraction of excitation energy, which is transferred to
each of the two PCB chromophores. Our results reveal that a large part
of the individual PEC molecules possess energy transfer coefficients
that differ significantly from those calculated on basis of the bulk
spectroscopic data. They exhibit a heterogeneity, which is stable on a
time scale of seconds. Model calculations show that small changes in
the absorption and emission spectra of the chromophores of PEC most likely are the source for differences in the energy transfer
coefficients. We suggest that changes in the degree of conjugation of
the
system of the chromophores are the cause of these spectral
shifts. If similar processes operate in the phycobilisome containing a large number of chromophores, our data lead to the conclusion that also
the heterogeneity between chromophores has to be taken into account for
a description of the energy transfer process in photosynthetic systems
(van Oijen et al., 2000
).
 |
MATERIALS AND METHODS |
The spectroscopic setup is based on a homebuilt confocal
microscope. The sample was mounted on a piezo driven translation stage
(P-731, Physik Instrumente, Karlsruhe, Germany) on top of an inverted
microscope (TE 300 equipped with a 60×, 1.2 NA Plan Apochromat water
immersion lens, Nikon, Tokyo, Japan). Light from a ring dye laser
(CR-699, Coherent Inc., Santa Clara, CA) or from an
Ar+-ion laser (Innova 90-6, Coherent Inc.) was
focused onto the sample. For imaging single molecules fluorescence
light was collected in a back reflection geometry and separated from
the excitation light by means of a dichroic mirror (575 DCXR, Chroma,
Brattleboro, VT). Residual excitation light was removed with a notch
filter (HNPF-568-10, Kaiser Optical Systems, Inc., Ecully, France). The fluorescence emission was detected through a confocal 100-µm pinhole with a single photon counting avalanche photodiode (SPCM-AQR-16, EG&G
Inc., Gaithersburg, MD). Sample images were generated by raster
scanning the sample over the fixed focus. Experiments at cryogenic
temperatures were performed using a beam scanning confocal microscope
(Mais, 2000
).
For spectral selection experiments, a dichroic mirror with an edge at
595 nm (595 DCXR, Chroma) was inserted after the notch filter for
dividing the emission signal. This resulted in one detection channel
with 575 nm <
DET < 595 nm and a second
channel with
DET > 595 nm. A second identical
single photon avalanche photodiode was used to detect the signal on
this channel. Both channels were read out simultaneously. Using this
setup, one-half of the signal from the
-chromophores was detected in
channel one with the other half being detected in channel two. Emission from the
-subunits was only detected in the latter channel and was
completely suppressed in channel one. All spectrally resolved experiments were done with circularly polarized excitation light.
For the polarization experiments, we used linearly polarized excitation
light. It is crucial for the determination of the energy transfer rates
between the chromophores in the monomer that only the PVB chromophore
on the
-subunit is excited. We therefore recorded data from the
isolated
- and
-subunits at different excitation wavelengths
(data not shown) with the same setup as described above. Excitation at
568 nm was well suited for recording single molecule images of the
isolated
-subunit, whereas no signal was detected from the isolated
-subunit. We therefore replaced the 575-nm dichroic mirror used in
the spectral selection experiment with the 595-nm dichroic mirror. The
notch filter was replaced by a bandpass filter (HQ 620/60, Chroma). Behind the bandpass filter, a polarizing beamsplitter was inserted in
the detection path to accomplish the separation of the two polarization
components of the fluorescence emission. The polarization of the
exciting laser beam was quickly rotated between 0° and 180° by
passing it through an electro optic modulator (LM 0202, Gsänger Optoelektronik GmbH, Planegg, Germany) and a
/4 waveplate.
The preparation of monomeric PEC from Mastigocladus
laminosus has been described elsewhere (Parbel et al., 1997
).
Concentrated solutions of PEC in water/glycerol (2:3) buffered at pH 7 with K2HPO4 were diluted
with the same solution additionally containing 4 M urea. For the
isolation of single PEC monomers, a drop of diluted solution was
deposited onto a glass coverslip (Marienfeld No. 1, Paul Marienfeld
GmbH & Co. KG, Lauda-Königshofen, Germany). Immobilization was
achieved by nonspecific electrostatic interaction between the proteins
and the glass surface (Ying and Xie, 1998
). To check for
immobilization, we rotated the polarization of the exciting laser beam
with a constant speed over 180° and recorded the integral
fluorescence signal. With this excitation scheme, the signal intensity
follows the excitation polarization modulation with a
cos2 law, no detectable phase shift, and a
modulation depth down to the background level (data not shown). This
indicates that the molecules were immobilized under these conditions.
Because an ordered orientation of the molecules on the sample can be
excluded, this experiment also serves as a proof for successful single
molecule detection. During all measurements the samples were kept humid by covering them with a lid.
 |
RESULTS AND DISCUSSION |
Bleaching behavior of single PEC monomers
Single PEC molecules were located on images from samples either at
room temperature or at 4 K (Fig. 2).
Subsequently, trajectories of the fluorescence emission of single PEC
monomers were recorded to determine their photobleaching stability.
Fig. 3 shows a comparison between the
emission times of single PEC molecules before the occurrence of a final
photobleaching step at T = 4 K and at room temperature
for an excitation intensity of 0.4 kW/cm2.
Fitting a monoexponential decay curve to the histogram yields a decay
constant of t1/2 = 20 s at 4 K. This value reduces to 4 s at room temperature. The most likely
explanation for the increased stability at low temperatures is the
restricted access of molecular oxygen due to the freezing of the
sample. Experiments with the isolated
-subunit show a sevenfold
increase in stability when oxygen is removed from the sample with the
glucose oxidase/catalase system (Bopp et al., 1999
). Due to the
necessary presence of urea, which inhibits the glucose oxidase, this
depletion method cannot be used in investigations of monomeric PEC,
whereas commercially available antifade kits are known not to work with
phycobilin proteins (Molecular Probes Inc., Eugene, Oregon. Product
Information. SlowFade). Attempts to record excitation spectra of single
PEC monomers at cryogenic temperatures proved futile. We attribute this
to fast spectral jumps of the PEC molecules leading to broad spectra
even at cryogenic temperatures. Linear tetrapyrrole chromophores are
highly flexible in solution and much more rigid in the native protein.
Even in the protein however, the
-84 PVB chromophore has some
conformational flexibility. This can be seen from its unusual
15Z/E isomerization. Although this photochemistry is
inhibited below liquid nitrogen temperatures (Zhao and Scheer, 1999
),
there is apparently still some residual motion of the chromophore
possible. A strong coupling of the electronic transitions of the
chromophore to the environment dynamics is thus expected.

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FIGURE 2
Image of single PEC monomers from a
H2O/glycerol solution (3:2) at room temperature,
immobilized on a glass surface. Excitation with 0.4 kW/cm2
at 568 nm. Scale bar = 1 µm.
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FIGURE 3
Histogram of on-times before the final photobleaching
step of single PEC monomers at room temperature (gray)
and at 4 K (black). A single exponential fit to the data
yields t1/2 = 4 s at room
temperature and t1/2 = 20 s at 4 K. Excitation intensities are 0.4 kW/cm2 at 568 nm.
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Spectrally resolved emission of single PEC monomers are used to
investigate the bleaching behavior in more detail. Although it is
possible to distinguish between the emission from the
- and the
-subunits, one cannot discriminate the emission of the two PCB
chromophores. The upper channel in the graphs of Fig. 4 shows the emission signal of single PEC
molecules with
det > 595 nm, which originates
almost exclusively from the
-subunit. In the simultaneously recorded
lower channel only emission light was recorded with 575 nm <
det < 595 nm, corresponding to the emission
of the
-subunit. The typical behavior, which was observed for 113 of
130 molecules, is represented in the top part of Fig. 4. Here, the
emission detected on either of the channels ceases after the emission
of the
-chromophore vanishes. Obviously in these cases
photobleaching of the whole PEC monomer is caused by photobleaching of
the PVB chromophore. Only three molecules showed a behavior as depicted
in the bottom part of Fig. 4. In these cases, the emission of the
-subunit continues after the disappearance of the
-subunit
emission. These findings are not surprising, as the PVB chromophore is
primarily excited. For 11 molecules we observed intensity fluctuations
in the
-channel that did not have any influence on the emission
intensity detected on the
-channel before photobleaching occurred.
This behavior is explicable by changes in the fluorescence quantum
yields of the PCB chromophores or by fluctuations in the energy
transfer between them, whereas the transfer from the
- to the
-subunit remains constant. Yet a different behavior was observed for
three other molecules that only exhibited emission on the
-channel. This can be due to a PEC monomer, which is either dissociated or which
contains damaged PCB chromophores. The spectrally sensitive experiments
thus indicate that using 4 M urea as a dissociation agent,
disintegration of the PEC monomers into the subunits is a rare event.

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FIGURE 4
Two simultaneously recorded fluorescence trajectories
of the - and the -subunits of single PEC monomers. The lower
channel labeled " " shows only emission from the -subunit with
575 nm < det < 595 nm, whereas in the upper
channel labeled " " with det > 595 nm,
mainly emission from the -subunit is seen. A leakage signal of the
-subunit emission is detected in the upper " " channel.
exc = 568 nm with 0.4 kW/cm2. The upper
channel is offset by 14 counts/20 ms.
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Dark state identification of PEC monomers
Dark states, responsible for the blinking behavior encountered in
single molecule spectroscopy, are commonly not identified. PEC is known
to have a rich photochemistry (Zhao and Scheer, 1995
). This involves
the cis/trans interconversion of the PVB
chromophore between the 15Z and the 15E isomers,
as well as the reduction and oxidation of the two thiol groups at
Cys-98, -99. In the isolated
-subunit, the 15Z form
exhibits strong fluorescence with an absorption maximum at 566 nm,
whereas the 15E form with an absorption maximum at
505 nm
is very weakly fluorescent. The bulk spectroscopic data show that the
15E form is produced with a low quantum yield after
excitation of the 15Z form (Zhao et al., 1995
) and that no
thermal repopulation occurs. It can, however, be converted back to the
fluorescing 15Z form by excitation with
exc
500 nm. We recently used a
simultaneous two-color excitation scheme to characterize a dark state
in the green fluorescent protein (Jung et al., 2001
). Here, this method
has been adapted to check whether the 15E form of the PVB
chromophore is a dark state of the PEC monomer. If the 15E
form does not absorb at 568 nm and no thermal repopulation of the
15Z form occurs, then 15E will be a long lived
dark state of the PEC monomer. In a typical experiment, transitions
into this state would not be distinguishable from photobleaching. If,
however, the 15E form absorbs weakly at 568 nm, then it
would be a short-lived dark state reducing the observable emission
count rate.
An alternating excitation scheme was used in the experiment. For 500 ms, a molecule is excited only at
exc = 568 nm, then for 500 ms simultaneously at
exc = 496 nm and
exc = 568 nm, and finally for 500 ms only at
exc = 496 nm. This scheme is then repeated. In the example shown in Fig. 5,
a molecule emits for three of these excitation cycles and bleaches
during the fourth. The fluorescence count rates were averaged over the
three cycles during which the molecules emitted. The average count rate
of 98 counts/20 ms for simultaneous two color excitation is 15% higher than the sum of 20 counts/20 ms and 65 counts/20 ms of the signals for
one color excitation at 496 nm and 568 nm, respectively. Excitation of
a single PEC molecule at 568 nm yields a fluorescence count rate
reflecting the average occupation of the molecule's emissive 15Z state during the integration time. Simultaneous
excitation with
exc = 496 nm and
exc = 568 nm shifts the
cis/trans equilibrium toward the 15Z
form compared with single color illumination at 568 nm. This leads to
fluorescence count rates, which are higher than the sum of count rates
at 496 and 568 nm. Our results indicate the repopulation of the
emitting 15Z form from the dark state 15E with
the second color illumination. They show that the 15E form
of the PEC monomer is not a long-lived dark state. Instead, the
residence time of the PEC monomers in the 15E state is on a
submillisecond time scale under the experimental conditions chosen.
Intensity-dependent experiments can be used to unravel the kinetics of
the population of the dark states (Garcia-Parajo et al., 2000
). In the
case of PEC, the trajectories are however not sufficiently long for
this kind of analysis. Even with simultaneous two-color illumination,
high fluctuations in the fluorescence intensities are observed. These
are due to the existence of multiple dark states, which are not
depopulated by the additional excitation color.

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FIGURE 5
Alternating one and two color excitation of single PEC
monomers. Illumination (500 ms) at 568 nm (light gray)
were followed by 500 ms of simultaneous illumination at 496 and 568 nm
(dark gray), then by 500 ms at 496 nm only
(black). The intensities used were 0.5 kW/cm2 at 496 nm and 0.6 kW/cm2 at 568 nm. The
average count rate/20 ms over three cycles was 98 counts/20 ms for
simultaneous excitation with the two excitation colors, 20 counts/20 ms
for 496 nm only, and 65 counts/20 ms for 568 nm only.
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Observation of the energy transfer of single PEC monomers
Polarization modulated excitation and polarization sensitive
detection have been used extensively in connection with the
spectroscopy of single molecules to investigate molecular orientation
(Güttler et al., 1993
), molecular movement (Ha et al., 1999
;
Häsler et al., 1998
; Warshaw et al., 1998
), structural dynamics
(Bopp et al., 1999
; Tietz et al., 1999
), and excited state electronic
structure (van Oijen et al., 1999
). Here, the polarization properties
of the fluorescence emission of single PEC molecules are used to determine the energy transfer coefficients from
-84 onto
-84 and
-155. In PEC, the excitation energy is transferred from the short
wavelength absorbing PVB chromophore onto the two PCB chromophores. The
energy transfer is of Förster type. On this basis, the energy transfer rates between the respective chromophores of the monomer are
calculated using the x-ray structure coordinates of the trimer (Duerring et al., 1990
). The values are given in the schematic model in
Fig. 6. Whereas most rates are much
faster than the fluorescence decay rate, some rates are of the same
order of magnitude. The energy transfer between the chromophores
therefore does not equilibrate completely before fluorescence emission
occurs. We performed Monte-Carlo simulations to obtain the fluorescence
yields from each chromophore. The results are 0.06 (
-84), 0.69 (
-84), and 0.25 (
-155). These data are calculated on basis of the
measured bulk absorption and emission spectra. A fluorescence lifetime
of 1 ns and a quantum yield of 0.5 were assumed. In our experiment,
only emission from the two
-chromophores is observed. The fraction
of intensity emitted by
-155 is given by the energy transfer
coefficient
, whereas the emission intensity from
-84 is
(1
).
can be obtained by multiplying the fluorescence yield for
-155 by 1.06.

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FIGURE 6
Diagram depicting the energy transfer in a PEC
monomer and the molecular structures of the phycoviolobilin (PVB) and
the phycocyanobilin (PCB) chromophores. The Förster transfer
rates calculated on basis of the x-ray structure and the measured
spectra are k1 = 22.1 ns 1, k2 = 0.7 ns 1, k3 = 2.6 ns 1, k4 = 0.3 ns 1, k5 = 13.0 ns 1, k6 = 35.1 ns 1.
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Subsequently it is shown how the energy transfer coefficients
for
individual molecules are obtained from the polarization spectroscopic
data of single PEC monomers. We proceed as follows. First, the angle
of the projection of the absorption dipole moment
abs of the
-84 PVB chromophore onto the
xy plane in the laboratory coordinate system (compare Fig.
7 for the definition of all angles) is
measured. This gives us information on the orientation of the PVB
chromophore in the xy plane. Second, the intensities of the
orthogonally polarized emission components P and
S are recorded simultaneously. Their ratio depends on the
orientation of the two emitting PCB chromophores and on the
distribution of excitation energy transferred onto each of these.
Third, the x-ray structural data are used to calculate the emission
rate from each PCB chromophore for every possible orientation of the
PEC monomer. The measured values for
and the ratio V =
restrict the possible orientations of the PEC monomer
and lead to a limited range of energy transfer coefficients
reconcilable with the experimental data. We thus obtain minimal energy
transfer coefficients for individual PEC molecules.

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FIGURE 7
Angles and are describing the position of the
absorber (PVB) in the laboratory system (x,
y, z). is defined as the rotation
angle of -84 around -84. With a given angle and the angles
between the chromophores one absolute orientation of the PEC monomer is
described. The inset shows the top view onto the cones.
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For the analysis it is necessary to first regard the emission of a
single chromophore with parallel absorption and emission dipole
moments. The excitation probability of a single immobilized chromophore
is proportional to
|
abs
(t)|2,
in which
(t) is the exciting field. The tight
focusing of the excitation light leads to the presence of a small
z component. It has been shown that its influence on the
absorption can be neglected for focusing with an NA 1.4 objective (Ha
et al., 1999
). To minimize the possible depolarization effect, we chose
to not fully illuminate the back aperture of the microscope objective. This yields
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(1)
|
with
being the angle between
abs and the
z axis. The expression above allows us to determine
, the
angle between
abs and the x axis, by
recording the integral emission intensity while rotating the
polarization axis of the excitation light over
. Having determined
abs, the excitation polarization was set to be
parallel to the xy component of
abs.
While the integral emission signal is used to determine the orientation
of the absorption dipole within the xy plane, information about the emission dipoles' orientation can only be inferred from the
two orthogonally polarized emission components P and
S. For a single chromophore, the collected emission
intensities P and S are given by (Axelrod, 1979
)
|
(2)
|
Here x, y, and z are the
components of the emission dipole moment along the respective
coordinate axis and Itot is the
integral fluorescence count rate. We recalculated the normalized values Kn for a NA 1.2 objective and obtained
K1 = 0.3208, K2 = 0.0056, and
K3 = 0.097 (Ha et al., 1999
). This
result shows that the ratio V =
is dominated by
the orientation of the chromophore in the xy plane.
K3 however has a nonnegligible value,
which gives a depolarization contribution if the emission dipole has a
significant z component. In the limiting case of an emission
dipole oriented parallel to the xy plane, we obtain V =
= tan2 (
+
) in which
is
an apparatus-dependent parameter that was determined independently in a
calibration measurement with single Terrylene molecules.
In the case of PEC one has to consider a molecule in which the PVB
chromophore acts as the absorber and the two PCB chromophores as the
emitters. The angles between the respective transition dipole moments
in the PEC monomer are obtained from the x-ray structure assuming that
no significant structural deviation from that of the trimer occurs. It
is commonly assumed that the relative orientations of the dipole
moments are the same as those of the long axis of the respective
tetrapyrrole
-systems (Duerring et al., 1990
). For the PVB
chromophore, only the three conjugated rings are included. The angle
is determined experimentally in the manner described above. The
main difficulty is the determination of the absorption dipole's
orientation along the z axis. Recently proposed methods
(Sick et al., 2000
; Novotny et al., 2001
) are not applicable here due
to the poor photostability of the PEC monomers. Instead, we use the
integral emission count rate as a measure for the z
orientation of the absorption dipole. The statistics of 101 observed
single PEC molecules allow us to assign the highest detected count rate
to a molecule with its absorption dipole oriented perpendicular to the
z axis. This maximal count rate is used to determine
for
all observed molecules according to the sin2
dependence of the integral count rate. An uncertainty of ±20% arises
because of the emission originates from two emitters. This means that a
range of possible z orientations of
abs
has to be considered.
Even with the knowledge of the absolute orientation of the PVB
chromophore, many orientations of the whole PEC monomer can lead to the
observed values for V. This is due to the fact that also the
energy transfer coefficient
for the transfer of excitation energy
from
-84 onto
-155 has to be considered. We therefore determined
all possible orientations of the emission dipole moments, which can be
reconciled with the experimental data for
,
, and V.
These calculations were performed by applying the proper rotation matrices onto the coordinate matrix C = (
84,
84,
155) of the
chromophores as taken from the x-ray structure. The
-84 chromophore
in C is oriented along the z axis and the
-84
chromophore lies in the xz plane. The two
chromophores
were rotated around
-84 by an angle
by operating
Dz,
on C. Dz,
rotates by an angle
along
the z axis. The chromophores' coordinates were rotated by
the experimentally determined angles
and
around the
y and z axis by operating
Dy,
and
Dz,
on the coordinate matrix. By
repeating this procedure stepwise for all
values from 0° to
360°, the complete configuration space for the PEC molecule was
sampled. The matrix multiplication for one step is given by
Dz,
Dy,
Dz,
C = C'. Thus, new coordinates C' are obtained. The
squares of the components x', y', and
z' are directly related to the emission intensity of each
emitter on both detection channels. To calculate the emission
intensities P and S expected for each
orientation, also the collection characteristics as given in Eq. 2 and
the degree of energy transfer from the absorber to the emitters have to
be taken into account. One obtains:
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(3)
|
Each specific orientation now leads to a certain transfer
coefficient
. By considering all orientations for an individual molecule, the possible values for
can be determined. For 50 of the
101 molecules under investigation, it is not possible to ascribe a
discrete minimal value to
. In these cases, the specific orientation
of the molecules does not allow us to ascribe a certain minimal value
to
. These molecules are grouped under the
= 0 value in the
histogram in Fig. 8. For the remaining
molecules, a minimal value of
can be assigned that is represented
in the histogram in Fig. 8.

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FIGURE 8
(Left) Energy transfer coefficient from -84 to -155 for selected molecules. The probabilities for
are obtained from the measured values for and V
as described in the text. (Right) Histogram of minimal
values of for different individual molecules. Molecules for which
the experimental data can be reconciled with any energy transfer
coefficient between 0 and 1 are grouped under the 0 value in the
histogram. Molecules as those shown on the left possess a minimal
energy transfer coefficient larger than 0.
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The energy transfer coefficient calculated with Förster theory is
= 0.27. Thus, the
values that were determined for
individual molecules deviate significantly from the calculated value.
Apart from the differences in the absolute values, the single molecule data also reveal a pronounced heterogeneity of the sample in the energy
transfer coefficients. The energy transfer coefficients were determined
only for molecules exhibiting intensity ratios for the two
perpendicular polarization components, which remained stable over the
course of several seconds. This means that also the calculated energy
transfer coefficients were stable over this time range.
The energy transfer coefficients are influenced by the distances
between the chromophores, their relative orientation toward each other,
and the spectral overlap between the emission spectra of the donors and
the absorption spectra of the acceptors (Förster, 1968
). The
preparation of the samples could influence the spectra of the
chromophores and the orientation of their transition dipole moments by
interaction with surface charges on the glass coverslip. Using the same
preparation method, Ying and Xie (1998)
however observed no differences
in the spectra and fluorescence lifetimes of immobilized single
allophycocyanin molecules. In PEC, the transition dipole moments are
oriented along the long axis of the nearly linear structure of the
chromophores. It therefore seems unlikely that a polarization component
perpendicular to the long axis of the chromophore can be induced, which
would be large enough to have a significant influence on the energy
transfer coefficients (see below). The energy transfer calculations for
the monomer are based on the x-ray structural data of the trimer. This
procedure is justified for the following reasons. All molecules
observed absorb at 568 nm and emit at
det > 595 nm. Because PVB and PCB only fluoresce when being embedded in the
protein, only intact PEC monomers are detected in which the x-ray
structure is largely preserved. The spectra of biliproteins are
exquisitely sensitive to conformational changes (Braslavsky et al.,
1983
; Falk, 1989
; Scharnagl and Schneider, 1991
; Scheer, 1982
). Because
the spectra of the trimer differ only little from those of the monomer
(Parbel et al., 1997
), we conclude that there are only minor changes in the conformation of the chromophores in PEC monomers compared with PEC
trimers. Significant changes in the distances between the chromophores
are therefore not considered as a cause of the variations in the energy
transfer coefficients. The different chromophores in PEC are coupled in
the way depicted in Fig. 6. Monte-Carlo simulations were used to
investigate the influence of changes of the absorption and emission
dipole moments' orientation on the transfer rates. Geometrical changes
can lead to substantially altered absolute values of the rates. The
transfer rates from one chromophore to the other are however always
affected in the same way as the reverse rates. The maximal increase in
for a variation of all relevant angles by ±20° is 3%. This
leads to the conclusion that geometrical changes do not account for the large
values observed experimentally. In contrast to geometrical changes, spectral shifts influence the ratio of the transfer rates more
strongly. Recently, spectral jumps of more than 1000 cm
1 have been reported for amino substituted
Perylenes (Blum et al., 2001
). Before and after the jump, the spectra
remained stable for tens of seconds. The authors attribute the
appearance of different spectra to two states in which the lone pair of
the amino group is either in or off resonance with the chromophore's
-system. Apart from shifts in the spectral positions, also changes
in the line shape and the fluorescence quantum yield were observed.
Keeping the latter parameters and the Stokes shift constant, we
calculated the influence of spectral shifts of ±600
cm
1 for the
-chromophores. The calculations
show that changing the spectral positions of the two
-chromophores
relative to each other by 330 cm
1 already
results in a 100% change in the energy transfer coefficient. A
spectral heterogeneity of the chromophores therefore seems the most
likely source for differences in the energy transfer between individual
PEC monomers. The molecular origin for the spectral shifts remains
speculative, but might include different protonation states of the
chromophores or varying degrees of conjugation of lone pairs on their
nitrogen atoms. The latter could be caused by slight geometrical
distortions of the chromophores in the protein pocket. The biologically
active forms of the PEC are trimers and hexamers. In these, one
-
and one
-chromophore of each monomeric subunit are in close
proximity to each other. It has been shown for the closely related
phycocyanin that in monomers as well as in trimers, the dominant energy
transfer processes are well described by Förster theory
(Debreczeny et al., 1995
). We therefore expect that also in the
naturally occurring oligomers of PEC, the observed heterogeneity of the
energy transfer coefficients will be of significance for the
transduction of excitation energy.
 |
SUMMARY |
Single molecule images of phycoerythrocyanin monomers were
recorded. Their photobleaching behavior was studied using spectrally resolved emission spectroscopy. The PVB chromophore was found to be
responsible for the photobleaching of PEC. Using simultaneous two-color
illumination, the 15E form of PVB was identified as one of
the short-lived dark states of PEC. Polarization sensitive detection
was used to determine the energy transfer coefficients of individual
PEC monomers. A surprisingly large, hitherto unknown static
heterogeneity was observed. This finding is attributed to chromophores,
which are spectrally shifted with respect to the bulk spectra.
We thank R. Huber for providing us with the x-ray crystallographic
data of trimeric PEC, S. Mais for help in the early stages of this
work, G. Jung for helpful discussions, and C. Bräuchle for
continuous support. This work was funded by the Deutsche
Forschungsgemeinschaft, SFB 533, Teilprojekt 41 and B7.
Address reprint requests to A. Zumbusch, Department Chemie,
Ludwig-Maximilians Universität München, Butenandtstr. 11, D-81377 München Germany. Tel.: 49-89-21807544; Fax:
49-89-21807545; E-mail:
andreas.zumbusch{at}cup.uni-muenchen.de.