Jimin Wang1, Mikhail Askerka2, Gary W Brudvig2, Victor S Batista2. 1. Department of Molecular Biophysics and Biochemistry, Yale University, New Haven, Connecticut 06520-8114, United States. 2. Department of Chemistry, Yale University, New Haven, Connecticut 06520-8107, United States.
Abstract
Photosystem II (PSII) oxidizes water to produce oxygen through a four-step photocatalytic cycle. Understanding PSII structure-function relations is important for the development of biomimetic photocatalytic systems. The quantum mechanics/molecular mechanics (QM/MM) analysis of substrate water binding to the oxygen-evolving complex (OEC) has suggested a rearrangement of water ligands in a carousel mechanism around a key Mn center. Here, we find that the most recently reported X-ray free-electron laser (XFEL) crystallographic data obtained for the dark-stable S1 state and the doubly flashed S3 state at 2.25 Å resolution support the carousel mechanism. The features in the XFEL data and QM/MM model-simulated difference Fourier maps suggest that water displacement may occur from the so-called "narrow" channel, resulting in binding of a new water molecule to the OEC, and thus provide new insights into the nature of rearrangements of water ligands along the catalytic cycle before O=O bond formation.
Photosystem II (PSII) oxidizes water to produce oxygen through a four-step photocatalytic cycle. Understanding PSII structure-function relations is important for the development of biomimetic photocatalytic systems. The quantum mechanics/molecular mechanics (QM/MM) analysis of substrate water binding to the oxygen-evolving complex (OEC) has suggested a rearrangement of water ligands in a carousel mechanism around a key Mn center. Here, we find that the most recently reported X-ray free-electron laser (XFEL) crystallographic data obtained for the dark-stable S1 state and the doubly flashed S3 state at 2.25 Å resolution support the carousel mechanism. The features in the XFEL data and QM/MM model-simulated difference Fourier maps suggest that water displacement may occur from the so-called "narrow" channel, resulting in binding of a new water molecule to the OEC, and thus provide new insights into the nature of rearrangements of water ligands along the catalytic cycle before O=O bond formation.
Photosystem
II (PSII) is a large
multisubunit membrane protein complex, responsible for direct solar
water oxidation in higher plants, algae, and cyanobacteria.[1−3] Water is oxidized at the oxygen-evolving complex (OEC) embedded
in the D1 protein subunit, an oxomanganese cluster that operates by
cycling through five redox states, the so-called “storage states”
(or “S states”) of oxidizing equivalents (S0–S4). During each turn of the catalytic cycle,
the OEC binds two water molecules and gets oxidized four times, generating
the S4 state that catalyzes O–O bond formation for
O2 evolution. While S0 is the most reduced state,
S1 is the stable dark-adapted form of the OEC from which
the S4 state is formed after three flashes of light, leading
to O2 evolution and regeneration of the OEC in the S0 state.[4,5] Structural models based on quantum
mechanics/molecular mechanics (QM/MM) have been proposed for the S0–S3 states, consistent with known biochemical,
spectroscopic, and crystallography data (Figure , Supporting Information (SI)).[6−11]
Figure 1
Stereodiagram
of superposition of the QM/MM S1 (yellow,
magenta, silver, red, and blue) and S3 (salmon, green,
dark magenta, pink, and blue) models, including six bidentate carboxylate
ligands to highlight the moving parts to be expected in difference
density features.
Stereodiagram
of superposition of the QM/MM S1 (yellow,
magenta, silver, red, and blue) and S3 (salmon, green,
dark magenta, pink, and blue) models, including six bidentate carboxylate
ligands to highlight the moving parts to be expected in difference
density features.The QM/MM models suggest
water binding to the cluster in the S2 → S3 transition by a carousel rearrangement
of water ligands around Mn4 (Scheme ).[12] Here, we find that
experimental data support such a carousel mechanism from the most
recently reported X-ray free-electron laser (XFEL) crystallographic
experiments,[13] which are the focus of this
study. As discussed previously,[12] the narrow
water channel has been considered by several groups as a water delivery
pathway based on a variety of studies.[14−20] Alternative mechanisms,[21,22] including the pivot
mechanism,[23] have also been proposed and
claimed to be consistent with the XFEL data for the S3 state.[13] Reference (21) disfavored the carousel mechanism on the basis
of high-energy barriers for TS6 and TS7, although the pathway of the
carousel corresponds to their TS4, which has a very low barrier. At
the same time, we question whether the S3 XFEL data have
actually resolved the ambiguity of the water oxidation mechanism.
Scheme 1
Carousel Mechanism for Supply of One of the Two Water Substrates
to the OEC
Adapted from ref (12). (A) is the starting S2 state, (D) is the final S3 state, and (B) and
(C) are proposed intermediate steps for the S2 to S3 state transition. W1, W2, and W3 correspond to W2, W1, and
Wx in ref (12), respectively,
while O5 has been relabeled as O6 following ref (13), after W1 moves into the
O5 position to become O5.
Carousel Mechanism for Supply of One of the Two Water Substrates
to the OEC
Adapted from ref (12). (A) is the starting S2 state, (D) is the final S3 state, and (B) and
(C) are proposed intermediate steps for the S2 to S3 state transition. W1, W2, and W3 correspond to W2, W1, and
Wx in ref (12), respectively,
while O5 has been relabeled as O6 following ref (13), after W1 moves into the
O5 position to become O5.A number of X-ray
crystallography models of PSII have been reported
in recent years, including PSII models with the OEC in the S1 state based on conventional synchrotron data.[24,25] However, data collection from conventional synchrotron sources has
been shown to induce radiation damage of the OEC and formation of
noncatalytically relevant reduced states.[24,26,28] X-ray radiation is thought to reduce the
OEC and induce oxygen additions to protein side chains through mechanisms
of hydroxyl free radicals.[28−31] Thus, significant efforts are currently focused on
XFEL crystallography.[13,32,33]High-resolution XFEL diffraction data have been collected
using
continuous translation of unexposed parts of large single crystals
of PSII,[32] in an effort to achieve “diffraction-before-destruction”.
However, several technical aspects remain challenging.[35,36] The most effective approach for suppressing radiation damage has
been the “one-shot-per-crystal” method, as in recent
XFEL studies of the S1 state corresponding to the model
reported for 5WS5 (of PDB accession number)[13] and earlier
studies of the S1 and S3 states.[37−41] In one XFEL study,[37] an insufficient
degree of isomorphism between the S1 and S3 states
required computational realignment of the resulting electron density
maps before difference electron density maps could be calculated and
studied.[9] In other XFEL studies,[38−41] computational errors introduced by data reduction based on the software
cctbx.xfel were so large that structural changes due to S3 state formation were buried below the noise level.[42] Nonetheless, structural information associated with the
S1 to S2 transition from noisy XFEL data could
still be revealed for rearrangements that involved displacement of
an Mn center, found to be consistent with the simulated Fourier difference
maps predicted by QM/MM models.[8,38]The recent XFEL
study by Shen and co-workers reported high-quality
data.[13] The data sets exhibit the highest
possible isomorphism between the S1 and S3 states,
with the overall amplitude and intensity isomorphous difference reported
of only 6.8 and 5.6% at 2.35 Å resolution, respectively (see
below for further discussion), ideally suitable for the observed isomorphous
difference Fourier studies, that is, for calculation of the very sensitive Fobs(5WS6/S3) – Fobs(5WS5/S1) map or the Fobs – Fobs map (Figure A,B and SI).[43−45]
Figure 2
Observed
difference Fourier maps between the Fobs(5WS6/S3) – Fobs(5WS5/S1) XFEL
data sets superimposed on the experimental S1 model (A)
and on the theoretical QM/MM S1 model (B). (C,D) QM/MM-simulated
difference Fourier maps between the Fsimulated(S3) – Fobs(5WS5/S1) pair,
contoured at +4.5σ (green) and −4.5σ (red), superimposed
onto the 5WS5 model (A, salmon), QM/MM S1 model (B,C, yellow), and
QM/MM S3 model (D, green). When compared to the S1 state, the S3 model involves the following displacements:
O5 → O6, W1 → O5, W2 → W1, W3 → W2, and
W4 → W3. See Figures S5–S7 for additional stereodiagram views with numbering according to the
PDB file reported for 5WS5.
Observed
difference Fourier maps between the Fobs(5WS6/S3) – Fobs(5WS5/S1) XFEL
data sets superimposed on the experimental S1 model (A)
and on the theoretical QM/MM S1 model (B). (C,D) QM/MM-simulated
difference Fourier maps between the Fsimulated(S3) – Fobs(5WS5/S1) pair,
contoured at +4.5σ (green) and −4.5σ (red), superimposed
onto the 5WS5 model (A, salmon), QM/MM S1 model (B,C, yellow), and
QM/MM S3 model (D, green). When compared to the S1 state, the S3 model involves the following displacements:
O5 → O6, W1 → O5, W2 → W1, W3 → W2, and
W4 → W3. See Figures S5–S7 for additional stereodiagram views with numbering according to the
PDB file reported for 5WS5.In particular, the dark-adapted
S1 structure[13] (PDB access code 5WS5) is found to be
most consistent with
EXAFS data (SI, Figure S1) and the previously
proposed EXAFS-based[46] S1 QM/MM
model.[47] In contrast, the S3 structure (PDB access code 5WS6) is not fully consistent with S3 EXAFS
data[9,48] (SI, Figures
S1–S3), likely due to the unavoidable mixture of S states present
in the XFEL microcrystals, with only a small fraction in the S3 state. In fact, the apparently short O5–O6 distance
suggested for the S3 state can be accounted for in terms
of partial occupation of O5 and O6 as determined by the composition
of the mixture of S1 and S3 states. Here, we
provide a structural interpretation of the reported difference Fourier
features[13] based on QM/MM models.[6−9]The OEC has four Mn ions and a Ca forming the oxomanganese
cluster
Mn4CaO5. The QM/MM S3 model has an
additional core O atom, arising from water binding during the S2 to S3 transition.[9] On
the basis of data from the ammonia-bound S2 QM/MM model,[12] formation of the S3 state was proposed
to occur through a carousel rearrangement (Scheme ) involving water molecules W1, W2, and W3,[10] which correspond to water molecules #578, #523,
and #527 in monomer A, respectively[13] (the
original numbering reported in 5WS5 is provided in the SI, with uppercase one-letter labeling of amino acid residues
for monomer A and with lowercase for monomer B). As shown in Scheme , oxidation of the
OEC triggers binding of a water molecule (W3) to Mn4 from the so-called
“narrow” channel (W3 is #527 in monomer A or Wx in our
original nomenclature;[10] see the SI). W3 binding displaces W2 into the W1 position,
and W1 is displaced into the O5 position. The O5 ligand is displaced
toward a new position, becoming O6, using the nomenclature from Shen
and co-workers.[13] The role of the narrow
channel as a water delivery channel during the S2–S3 transition has also been supported by Capone et al.[16] and by Retegan et al.[23] The rearrangement associated with the carousel mechanism slightly
displaces Ca toward O6 while Mn4 is slightly displaced away from Mn1,
making room for the new O5 ligand. During the rearrangement, four
out of six bidentate carboxylate ligands remain largely stationary
(Figures and S4–S7). However, E189 bound to Ca and
Mn1 and D170 bound to Ca and Mn4 undergo torsion angle displacements
to accommodate the new water molecule as O5 (Figures and S4).Figure C,D shows
that the simulated S3-minus-S1 electron density difference based on QM/MM models[7,9] exhibits
a positive feature (in green), extending from Ca to the new position
of O5 as a ligand of Mn1 (O6 according to numbering by Shen), and
a small displacement of Ca toward that new ligand. In addition, there
are positive and negative features (in green and red, respectively)
flanking the Mn4 center. No significant density difference features
are observed at the W1 and W2 positions because there is no net change
of electronic density produced by water ligand exchange. Furthermore,
there is no significant negative peak behind Ca because there is concerted
movement of a water molecule filling the depleted density upon Ca
displacement.The features revealed by the simulated electron
density differences
of QM/MM models are consistent with features in the observed isomorphous
difference Fourier maps of XFEL data for Fobs(5WS6/S3) and Fobs(5WS5/S1),
originally reported by Shen and colleagues and faithfully reproduced
here (Figures A,B, S5, and S6).[13] Analogous to the QM/MM models, the XFEL difference
Fourier map shows a small negative peak on W3 (#527) and a large negative
peak next to W4 (#630).[13] These features
suggest that W4 moves into the W3 position when W3 becomes a ligand
of Mn4. However, other water molecules in the narrow channel do not
refill the W4 position immediately. Remarkably, these features are
observed for both monomers A and B.[13]By using the same method, we have assessed the correctness of the
QM/MM models as just described; we have also assessed whether the
atomistic models of the S1 and S3 states proposed
by Shen and co-workers were consistent with the outstanding features
in the observed difference Fourier map that Shen and colleagues obtained
and that we faithfully produced here, that is, whether their Fcalc(5WS6/S3) – Fcalc(5WS5/S1) difference Fourier maps have reproduced the Fobs(5WS6/S3) – Fobs(5WS5/S1) maps.
The observed features in the S3-minus-S1 maps as discussed above are very robust because they are
contributed by the observed amplitude differences from all of the
reflections so that they are not much dependent on data of the selected
resolution range used nor on any given set of model-calculated phases.
That is, the observed difference Fourier features remain largely the
same whether the model phases are from either Fcalc(5WS6/S3) or Fcalc(5WS5/S1).
This is the reason why the observed difference Fourier maps are a
very sensitive method to reveal subtle structural changes and have
been extensively used by the crystallographic community for many decades.[43−45] However, we failed to obtain any robust features in the calculated
difference Fourier maps that would be consistent with the observed
features. Figure A
shows that the calculated difference Fourier map using Fcalc(5WS5/S1) model phases, which represents one of many calculated
difference Fourier maps that we have carefully examined, do not reproduce
the observed map, suggesting that at least one of the two atomistic
models (i.e., the S3 model) does not correspond to the
observed data. We have also examined the calculated difference Fourier
maps using Fcalc(5WS6/S3) model
phases with a different resolution range of data, for example, by
excluding some very low resolution data. An exclusion of very low
resolution data is relevant here because different model refinement
programs may have slightly different bulk solvent correction algorithms
that can result in different calculated structure factors at very
low resolution, given the fact that the calculated structure factors
were not deposited in the PDB and had to be regenerated here (see
the Computational Methods section).
Figure 3
Assessment
of the 5WS6 S3 model using difference Fourier methods: (A) Fcalc(5WS6/S3) – Fcalc(5WS5/S1) or
(B) Fcalc(5WS6/S3) – Fobs(5WS5/S1) maps contoured at +4.5σ (green)
and −4.5σ (red) and σA-weighted 2Fobs – Fcalc map contoured at +1.0σ (cyan)/+3.0σ (blue) (C) and at
+0.5σ (green)/+3.0σ (blue) (D). At the +1.0σ level
(C), water ligands to the Ca and Mn centers (marked by black arrows)
begin to emerge, but not O6 (red arrow) or W3 and W4 (small red arrows).
There is no electron density visible for O6 at any contour level.
Assessment
of the 5WS6 S3 model using difference Fourier methods: (A) Fcalc(5WS6/S3) – Fcalc(5WS5/S1) or
(B) Fcalc(5WS6/S3) – Fobs(5WS5/S1) maps contoured at +4.5σ (green)
and −4.5σ (red) and σA-weighted 2Fobs – Fcalc map contoured at +1.0σ (cyan)/+3.0σ (blue) (C) and at
+0.5σ (green)/+3.0σ (blue) (D). At the +1.0σ level
(C), water ligands to the Ca and Mn centers (marked by black arrows)
begin to emerge, but not O6 (red arrow) or W3 and W4 (small red arrows).
There is no electron density visible for O6 at any contour level.Because the 5WS5/S1 model
is consistent with the S1 QM/MM model,[7,13] it
is likely that the quality of the XFEL-derived 5WS6/S3 model
is questionable. This can be confirmed by using the difference Fourier
map Fcalc(S3) – Fobs(S1) between the calculated structure
factors (Fcalc) of the 5WS6/S3 model
and the observed 5WS5/S1 (Fobs) data (Figure B). The Fcalc(S3) – Fobs(S1) difference shown in Figure B shows a single negative peak at the W4
position, consistent with displacement of that water molecule during
the S1/S3 transition.[13] However, none of the other observed features shown in Figure are accounted for in Figure . Reciprocally, the
hybrid Fobs(5WS6/S3) – Fcalc(5WS5/S1) map was also calculated, and it is found that the
features in this map largely reproduced the features in the observed
difference Fourier maps (data not shown). This is another way to validate
that the S1 atomic model obtained by Shen and colleagues
is indeed of reasonably good quality.We further note that the
σA-weighted 2Fobs – Fcalc map based on the 5WS6/S3 model
does not show any electron density attributable
to O6 at any contour level (Figure C,D). For example, several water ligands to Ca and
some Mn centers are clearly visible in this map at the 1.0σ
contour level, whereas O6 is not visible at 0.5σ (Figure C,D) or even at 0.01σ
(data not shown). This observation suggests that the fraction of PSII
cores converted to the S3 state and recorded in the XFEL
data is very low. Moreover, it is plausible that some of the observed
density at the O5 position (Figure ) in the Fobs(5WS6/S3) – Fobs(5WS5/S1) map may not come from the S3 state but rather from other lower states. We thus conclude that
the S3 model might not actually have O5 and O6 at 1.5 Å
from each other.[13] In any case, there is
no conclusive evidence for an O–O bond formed in the S3 state. The reason why one can see small subtle structural
changes in the Fobs(S3) – Fobs(S1) difference Fourier map but
not in the Fobs(S3) – Fcalc(S3) difference Fourier maps
[or in the 2Fobs(S3) – Fcalc(S3) maps] is that the observed
amplitude difference between the two states is only 6.8%, whereas
the unbiased amplitude difference between the calculated and observed
amplitudes within the S3 state (i.e., free R factor value) is 17.6% (see below for further discussion).[13]W4 likely moves to the W3 site due to
the immediate proximity when
W3 takes the position of W2 (Figure A,B). As shown by the S3 QM/MM model, the
relative occupancy of each site is mostly determined by hydrogen-bonding
interactions (Figures and S8). W3 makes hydrogen bonds to Oγ
of S169 and O4, while W2 makes bonds with D61 (Figure C,D). W4 makes a hydrogen bond with W5 and
E354. All of these interactions are consistent with a preference of
W4 to occupy the W3 site in the S3 state. W5 might not
immediately move into the vacant position of W4 because W4 has three
hydrogen bonds, including the carbonyl O of D61, the side chain of
N87, and a water molecule (Figure S8).
Thus, we conjecture that an additional conformational change is necessary
for W5 to take the position of W4. The energetics of potential movement
of water molecules along this channel has been discussed,[19,20] although it has also been disfavored due to the limited water mobility.[49]
Figure 4
Single-file narrow water channel. (A,B) Two approximately
orthogonal
views of the 5WS5/S1 model (salmon, red, and blue) superimposed onto the edited Fobs(5WS6/S3) – Fobs(5WS5/S1) map contoured at +4.5σ (green) and −4.5σ
(red) as well as with our QM/MM S3 model (yellow, red,
and blue), which contains the new O6 ligand. (C,D) Two representations
of hydrogen-bonding interactions of water molecules in the single-file
water channel. See Figure S8 for additional
stereodiagram views.
Single-file narrow water channel. (A,B) Two approximately
orthogonal
views of the 5WS5/S1 model (salmon, red, and blue) superimposed onto the edited Fobs(5WS6/S3) – Fobs(5WS5/S1) map contoured at +4.5σ (green) and −4.5σ
(red) as well as with our QM/MM S3 model (yellow, red,
and blue), which contains the new O6 ligand. (C,D) Two representations
of hydrogen-bonding interactions of water molecules in the single-file
water channel. See Figure S8 for additional
stereodiagram views.The density feature associated with W3, next to O4, disappears
during the S1 to S3 transition (Figure A,B). Therefore, it seems unlikely
that another water molecule would move next to O4 and become a substrate.
Given the geometry constraints at that site, even molecular oxygen
might not fit at the O4 position. Moreover, formation of an O–O
bond at this position would be thermodynamically demanding because
it requires breaking two coordination interactions of the μ-O4
bridge with rather unfavorable structural changes. Thus, we disfavor
O4 as the site for O–O bond formation as suggested as a secondary
possibility of the two possible models put forward by Shen and co-workers
(two dashed circles in their Figure 4).[13] Instead, we favor the second water molecule to be located at the
front end of the carousel cascade near the O5 and O6 positions, which
corresponds to the first choice of Shen and colleagues but in different
details,[13] interacting with Ca as suggested
by oxygen isotope exchange measurements.[50]In the S0, S1, and S2 states,
one water molecule is rapidly exchangeable, exhibiting the fastest
rates within detectable experimental range, while another one is rather
slow.[50] The fast water molecule is likely
to be very weakly associated with the OEC, such as W1 on Mn4, while
the slow one might be part of the OEC, tentatively assigned as the
O5 species. In the S0 state, O5 is a hydroxo, which should
have a relatively higher exchangeable rate than those in the S1 and S2 states where O5 is an oxo species. However,
considering that EPR signals show the presence of two S2 state structures consistent with different O5 positions (i.e., as
a ligand of either Mn1 or Mn4), it is reasonable to expect a higher
exchangeable rate for O5 in S2 when compared to the S1 state.[50] In the S3 state,
W1 moves to the O5 position, consistent with the fast exchangeable
water becoming very slow. At the same time, the original O5 species
becomes O6, expected to have a slightly increased exchangeable rate.[50] These findings are particularly relevant to
analysis of the reaction mechanism as directly compared to experimental
data.A lesson that we want to emphasize from this study is
that, whereas
technologies in X-ray crystallography have indeed been advanced in
the last few decades, the crystallographic foundation on how to assess
whether the measured data contain useful structural information (i.e.,
above the noise level) remains unchanged, and the isomorphous difference
Fourier method remains as a sensitive method to reveal subtle structural
changes recorded in the measured differences in the diffraction data.[43−45] By all means, Shen and colleagues have done a superb job at data
processing[13] and have provided high-quality
XFEL data sets for PSII intermediates with cumulative Pearson split
correlation coefficients (CC1/2) of 99.4–99.7% and
split intensity R factors of 5.4–6.2% for
each data set that is comparable to the quality of conventional synchrotron
data.[36,51,52] This permits
Shen and colleagues to obtain useful structural information on the
S1 to S3 state transition, which is reflected
in the observed intensity difference of only 5.6% between the two
data sets. Although the expected structural transition signals are
indeed very weak, they are consistently present in each of 35 393
reflections at 2.35 Å resolution, making them collectively powerful
and useful. For comparison, in another XFEL study on ammonia binding
to PSII, the authors reported cumulative CC1/2 values of
53.2% for the S1 data set at 3.0 Å resolution and
54.2% for the two-flash NH3 bound state at 2.8 Å resolution
(the authors did not report intensity split R factors).[41] It is clear that these authors would have to
put extra effort into their data processing procedures to improve
the internal consistency indexes within each data set before they
could conclude with certainty whether the diffraction data recorded
any reliable structural information on ammonia binding to the OEC.Chen and colleagues have done a superb job at XFEL data processing;[13] nevertheless, we do not find complete support
of their interpretation, which was likely biased toward the “200
+ 1 atom” open S3 model generated by Li and Siegbahn
(Figure S9A),[53] with a hallmark intermediate O5–H–O6 configuration
where O6 is a newly added water substrate (+1). In their energy-minimized
model, Li and Siegbahn relaxed all of the truncated protein side chains
(and therefore all water molecules nearby) that freely reposition.
The relaxation resulted in displacement of the H332 side chain by
about 2.30 Å, relative to the experimental coordinates of the 5WS5 mode from our S3 model, as well as a large displacement of the Cl– ion by 0.73 Å (Figure S9) and water
molecules. Unfortunately, these displacements are not consistent with
the experimental features observed in the difference Fourier maps
obtained by Chen and colleagues.[13] While
large movements of protein side chains during the S1 to
S3 state transition have been suggested based on low-resolution
XFEL data,[37] that interpretation did not
take into account possible effects of Fourier series termination.[9] Furthermore, large displacements are not consistent
with the much higher resolution, better-quality, new XFEL data obtained
by Shen and co-workers.[13] Moreover, even
though the Li and Siegbahn model may have accounted for the selected
Mn–Mn distances derived from the EXAFS data, their model has
not been shown to reproduce the EXAFS spectra just like many other
alternative models (Figures S1–S3).[12] Therefore, our model and the carousel
mechanism seem to remain most consistent with XFEL data and the EXAFS
spectra, as compared to other suggested models.
Computational Methods
Crystallographic analysis was carried out using the program CCP4
suite and displayed using the graphics Coot.[54,55] When the OEC and its protein ligands from the QM/MM model were reinserted
into an experimental atomic model, the uniform atomic B factor was kept the same for the mean B factor
for the replaced part of the model. The QM level of our original S3 QM/MM model did not include W3 and W4. Therefore, reoptimization
of the S3 QM/MM with W4 displaced to the W3 position led
to a model that is even in better agreement with the published EXAFS
data for the S3 state (Figures S2 and S3). The calculated structure factors were obtained from atomic
models using Refmac5 by setting the zero cycle rigid-body refinement
option.[56] The correctness of the structure
factor calculation has been verified by visual inspection of both
2Fobs – Fcalc and Fobs – Fcalc maps and by comparison with the reported
statistical values such as amplitude differences.For comparisons
with experiments, we note that the features of
the difference Fourier maps do not provide how much S3 was
formed by the two flashes. Difference features of the same kind would
be observed regardless of whether the transition is 100% complete
or, for example, only 20% because the unchanged portion between the
two structures cancels out in both cases. The only difference between
100 or 20% completion would be that the peak heights in the latter
would be reduced 5-fold relative to the former. In the PDB 5WS6/S3 atomic
coordinate file, Shen and colleagues modeled two alternative conformations
of 20:80% for a mixed CaMn4O5 cluster in each
monomer.[13] Yet, the occupancy of O6 was
modeled as 40%, which did not correspond to either state of the cluster.
The basis of this discrepancy was not discussed in their publication
and remains unknown. If O6 is part of part of a minor species, it
has an extra O6 relative to the species by 20%. If O6 is part of the
major species (which the coordinates imply), 40% of the species lacks
O6, which leads to another question: can the S3 state exist
without O6 binding? Another aspect that should be noted is that XFEL
crystallography is a :diffraction-while-destruction” technique.[36] Therefore, the atomic scattering factors do
not necessarily correspond to those of conventional synchrotron radiation.
Nevertheless, the isomorphous Fobs – Fobs difference Fourier maps should partially
cancel some of the systematic errors due to a change in atomic scattering
factors.
Authors: Rhitankar Pal; Christian F A Negre; Leslie Vogt; Ravi Pokhrel; Mehmed Z Ertem; Gary W Brudvig; Victor S Batista Journal: Biochemistry Date: 2013-10-17 Impact factor: 3.162
Authors: Rana Hussein; Mohamed Ibrahim; Asmit Bhowmick; Philipp S Simon; Ruchira Chatterjee; Louise Lassalle; Margaret Doyle; Isabel Bogacz; In-Sik Kim; Mun Hon Cheah; Sheraz Gul; Casper de Lichtenberg; Petko Chernev; Cindy C Pham; Iris D Young; Sergio Carbajo; Franklin D Fuller; Roberto Alonso-Mori; Alex Batyuk; Kyle D Sutherlin; Aaron S Brewster; Robert Bolotovsky; Derek Mendez; James M Holton; Nigel W Moriarty; Paul D Adams; Uwe Bergmann; Nicholas K Sauter; Holger Dobbek; Johannes Messinger; Athina Zouni; Jan Kern; Vittal K Yachandra; Junko Yano Journal: Nat Commun Date: 2021-11-11 Impact factor: 14.919
Authors: Friederike Allgöwer; Ana P Gamiz-Hernandez; A William Rutherford; Ville R I Kaila Journal: J Am Chem Soc Date: 2022-04-14 Impact factor: 16.383