Abhishek Sirohiwal1,2, Frank Neese1, Dimitrios A Pantazis1. 1. Max-Planck-Institut für Kohlenforschung, Kaiser-Wilhelm-Platz 1, 45470 Mülheim an der Ruhr, Germany. 2. Fakultät für Chemie und Biochemie, Ruhr-Universität Bochum, 44780 Bochum, Germany.
Abstract
Photosystem II (PSII) is a multisubunit pigment-protein complex that uses light-induced charge separation to power oxygenic photosynthesis. Its reaction center chromophores, where the charge transfer cascade is initiated, are arranged symmetrically along the D1 and D2 core polypeptides and comprise four chlorophyll (PD1, PD2, ChlD1, ChlD2) and two pheophytin molecules (PheoD1 and PheoD2). Evolution favored productive electron transfer only via the D1 branch, with the precise nature of primary excitation and the factors that control asymmetric charge transfer remaining under investigation. Here we present a detailed atomistic description for both. We combine large-scale simulations of membrane-embedded PSII with high-level quantum-mechanics/molecular-mechanics (QM/MM) calculations of individual and coupled reaction center chromophores to describe reaction center excited states. We employ both range-separated time-dependent density functional theory and the recently developed domain based local pair natural orbital (DLPNO) implementation of the similarity transformed equation of motion coupled cluster theory with single and double excitations (STEOM-CCSD), the first coupled cluster QM/MM calculations of the reaction center. We find that the protein matrix is exclusively responsible for both transverse (chlorophylls versus pheophytins) and lateral (D1 versus D2 branch) excitation asymmetry, making ChlD1 the chromophore with the lowest site energy. Multipigment calculations show that the protein matrix renders the ChlD1 → PheoD1 charge-transfer the lowest energy excitation globally within the reaction center, lower than any pigment-centered local excitation. Remarkably, no low-energy charge transfer states are located within the "special pair" PD1-PD2, which is therefore excluded as the site of initial charge separation in PSII. Finally, molecular dynamics simulations suggest that modulation of the electrostatic environment due to protein conformational flexibility enables direct excitation of low-lying charge transfer states by far-red light.
Photosystem II (PSII) is a multisubunit pigment-protein complex that uses light-induced charge separation to power oxygenic photosynthesis. Its reaction center chromophores, where the charge transfer cascade is initiated, are arranged symmetrically along the D1 and D2 core polypeptides and comprise four chlorophyll (PD1, PD2, ChlD1, ChlD2) and two pheophytin molecules (PheoD1 and PheoD2). Evolution favored productive electron transfer only via the D1 branch, with the precise nature of primary excitation and the factors that control asymmetric charge transfer remaining under investigation. Here we present a detailed atomistic description for both. We combine large-scale simulations of membrane-embedded PSII with high-level quantum-mechanics/molecular-mechanics (QM/MM) calculations of individual and coupled reaction center chromophores to describe reaction center excited states. We employ both range-separated time-dependent density functional theory and the recently developed domain based local pair natural orbital (DLPNO) implementation of the similarity transformed equation of motion coupled cluster theory with single and double excitations (STEOM-CCSD), the first coupled cluster QM/MM calculations of the reaction center. We find that the protein matrix is exclusively responsible for both transverse (chlorophylls versus pheophytins) and lateral (D1 versus D2 branch) excitation asymmetry, making ChlD1 the chromophore with the lowest site energy. Multipigment calculations show that the protein matrix renders the ChlD1 → PheoD1 charge-transfer the lowest energy excitation globally within the reaction center, lower than any pigment-centered local excitation. Remarkably, no low-energy charge transfer states are located within the "special pair" PD1-PD2, which is therefore excluded as the site of initial charge separation in PSII. Finally, molecular dynamics simulations suggest that modulation of the electrostatic environment due to protein conformational flexibility enables direct excitation of low-lying charge transfer states by far-red light.
Photosystem
II (PSII) is a dimeric multisubunit protein–pigment
complex responsible for the light-driven oxidation of water into molecular
oxygen and for the supply of reducing equivalents in oxygenic photosynthesis.[1−7] Excitation-induced charge separation and the early steps of the
electron transfer cascade take place within a cluster of six chlorin
molecules known as the reaction center (RC). The RC comprises four
chlorophylls (typically chlorophyll a), the central
PD1 and PD2 “special” pair flanked
by chlorophylls ChlD1 and ChlD2, and two pheophytin
molecules, PheoD1 and PheoD2. The RC chromophores
are arranged in a symmetric fashion along the D1 and D2 protein subunits
of PSII (Figure )
that are highly conserved across oxygenic photosynthetic organisms.
The RC of PSII receives excitation energy from integral chlorophyll-rich
polypeptides (CP43 and CP47) and from external light-harvesting antenna
systems that vary among different species.
Figure 1
(a) Arrangement of the
photosystem II dimer viewed from the stromal
side of the membrane; marked regions are the core-antenna chlorophyll
proteins CP43 and CP47, and the reaction center. (b) Reaction center
chromophores and selected additional components within the D1 and
D2 polypeptides, with a scheme indicating the flow of electrons within
PSII.
(a) Arrangement of the
photosystem II dimer viewed from the stromal
side of the membrane; marked regions are the core-antenna chlorophyll
proteins CP43 and CP47, and the reaction center. (b) Reaction center
chromophores and selected additional components within the D1 and
D2 polypeptides, with a scheme indicating the flow of electrons within
PSII.Following excitation and charge
separation within the RC chromophores,
the radical anion is localized within 0.3–3 ps[8−12] on PheoD1 and the hole is distributed over the PD1/PD2 pair.[13−15] The resulting radical cation,
known as P680+, is the strongest oxidant in biology. With
an estimated reduction potential of 1.1–1.3 V, P680+ is able to drive the oxidation of water at the oxygen-evolving complex
(OEC) via a redox active tyrosine residue (Tyr161 or YZ) that interfaces the two sites. A distinctive feature of PSII is
the utilization of the D1 branch, which also harbors the OEC, for
electron transfer following productive charge separation. On the acceptor
side the negative charge proceeds from PheoD1 to plastoquinone QA and finally to the terminal mobile electron
acceptor plastoquinone QB.[16]Key questions include the nature and localization
of initial excited
states, the nature and energetics of charge-transfer (CT) excited
states that may lead to productive charge separation, and the factors
that determine the asymmetry of RC chromophores and directionality
of electron transfer.[13,17,18]The multimer model[19] assumes that
the
local excitation energies of all pigments are similar, thus favoring
delocalized excitation, but other studies supported models where the
chromophore energies are distinct.[12,20−23] The PD1–PD2 pair is a prime candidate
for the initial excitation event in analogy to the “special
pair” of bacterial reaction centers.[24,25] One of two major charge-transfer pathways[26,27] considered includes excitation and charge separation within this
pair: [PD1PD2]* → PD1–PD2+, and the negative charge
is subsequently transferred to ChlD1, i.e., [PD1PD2]+ChlD1–,[28−30] before proceeding to PheoD1. However, the prevailing
view is that ChlD1 is the most red-shifted pigment and
hence may function as the primary electron donor[11,21,23,31,32] (uncertainties remain regarding the low-energy excited
states of pheophytins[23,33−35]). The second
pathway is thus described as [ChlD1PheoD1]*
→ ChlD1+PheoD1–. It has been proposed that room temperature structural perturbation
in the protein can induce switching between the different pathways.[26] Both would eventually lead to the same PD1+PheoD1– charge-separated
state, but the electronic nature of the excitation and all underlying
events are fundamentally distinct.Stark spectroscopy studies
suggested the presence of mixed local
excitation–charge-transfer excitation in the active D1 branch,[36,37] while Styring and co-workers[38−40] proposed the presence of low-energy
CT states responsible for far-red charge-separation and furthermore
that the photochemistry of PSII is wavelength-dependent.[39] An important fact is that although the working
threshold of PSII is typically considered to be 680 nm, charge separation
in the reaction center can be initiated with far-red light (700–780
nm) either by direct excitation of a low-lying charge transfer state
in Chl a RCs or by excitation of far-red chlorophylls
(Chl d and f).[38,39,41−50] These observations highlight the significance of low-energy charge-transfer
states for RC function.[17] Remarkably, no
quantum chemical study has so far identified interpigment CT excited
states low enough in energy to be consistent with these observations.It is useful to keep in mind that experimental studies are typically
restricted to nonphysiological and perhaps nonfunctional PSII preparations
that may yield varying observations depending on the type of preparation
and conditions used. Even disregarding light-harvesting antennae,
a PSII monomer comprises more than 20 proteins and dozens of chlorophylls.
Core complex preparations (PSII-CC) reduce this complexity by maintaining
only the D1, D2, Cytochrome b559, CP43,
and CP47 proteins, but the study of RC would still be challenging
due to spectral congestion by the core protein chlorophylls,[27] therefore most experimental work involves PSII
“RC complexes” (PSII-RCC) that maintain D1, D2, and
Cytochrome b559.[51−55] These are considered as a minimal structural scaffold
for studying the RC,[26,27,33,56−58] but their actual structure
and the extent to which they represent the physiological system are
debatable.[48,59−61] Computational
studies can potentially assist in bridging the gap between observations
made on such preparations and the properties of physiological PSII.Theoretical studies[14,15,23,62−82] of photosynthetic reaction centers are challenging due to the size
and complexity of the system. Beyond site energies, detailed electronic
structure analysis of excited states that may be delocalized among
different chromophores necessitates the use of quantum chemical approaches.
A landmark study by Frankcombe used time-dependent density functional
theory (TD-DFT) for the excited states of all PSII RC chromophores
in the absence of the protein environment.[62] This and subsequent similar studies find neither asymmetry in local
excitations along the D1 and D2 branches, nor low-lying CT states
that could be related to the charge-separation function of the RC.[62,65] Taking the protein matrix into account with a combined quantum–mechanics/molecular–mechanics
approach (QM/MM)[83−85] is obviously necessary. However, this approach must
not be viewed as a mere technical extension that can automatically
deliver good results. Four distinct methodological requirements must
be met simultaneously and successfully to ensure a meaningful and
reliable outcome. These are (i) explicit atomistic representation
of the complete protein matrix, potentially with consideration of
conformational dynamics, (ii) high-quality quantum chemical geometric
definition of the chromophores[86−89] as opposed to the direct use of crystallographic
coordinates, (iii) reliable excited state calculations of single and coupled chromophores, because site energies alone are
insufficient to address the electronic nature of multichromophore
excitations, and (iv) high-level quantum chemical methods that ensure
the correct response of excited state energetics to protein electrostatics
and, above all, provide a reliable description of the nature and energetics
of interpigment charge-transfer excited states. The present study
addresses for the first time all of the above requirements in a definitive
way, aiming to provide reliable quantitative insights into the excitation
profile of the reaction center of PSII.A large-scale model
of an entire membrane-embedded PSII complex
is used as the basis for multiscale QM/MM modeling on geometry-optimized
pigments to uncover the influence of the protein environment on the
excitation profile of reaction center chromophores. Highly accurate
quantum chemical descriptions of both local and distributed excitations
among pairs of chromophores are obtained by long-range corrected time-dependent
DFT as well as by coupled cluster theory at a level employed for the
first time in such simulations, namely the similarity transformed
equation of motion coupled cluster theory with single and double excitations
(STEOM-CCSD). Our results provide a complete view of the nature and
energetics of local and, most importantly, of charge-transfer excitations
among different chromophore pairs. The results explain the origin
of the dual type of asymmetry in the RC and identify the pigment pair
responsible for the primary charge transfer excitation. In combination
with insights from molecular dynamics simulations we determine the
static and dynamic factors that control the excitation profile of
the reaction center and enable charge separation to occur with far-red
light.
Methodology
Preparation of Models
The lipid-bilayer
embedded model of Photosystem II is based on the high-resolution dimeric
crystal structure (1.9 Å) of Thermosynechococcus vulcanus (PDB ID: 3WU2).[5] In the present work, we have used
one of the monomers to build the entire system. Missing structural
elements were completed to reproduce the physiological intactness
of the complex. All crystallographic water associated with the monomer
was retained and additional water molecules were added using the 3D-RISM
technique[90−94] (three-dimensional reference interaction site model) to achieve
a physiological hydration state of the protein complex. The PSII monomer
was embedded inside a POPC (1-palmitoyl-2-oleoyl-sn-glycero-3-phosphocholine) lipid bilayer of dimension 176 ×
176 Å2 using Packmol-Memgen.[95,96] A total of 784 POPC molecules were added in the upper and lower
leaflets of the trans-membrane region. The membrane-embedded protein
complex was placed inside a water box. Appropriate amounts of Na+ and Cl– ions were added to neutralize the
system and maintain a physiological concentration of 0.15 M. The complete
dimensions of the system were 176 × 176 × 160 Å3 and it consists of 512 341 atoms. (Figure ).
Figure 2
Side and top (stromal)
view of the molecular mechanics model of
the PSII monomer embedded in an equilibrated POPC lipid bilayer. The
simulation box has dimensions of 176 × 176 × 160 Å3.
Side and top (stromal)
view of the molecular mechanics model of
the PSII monomer embedded in an equilibrated POPC lipid bilayer. The
simulation box has dimensions of 176 × 176 × 160 Å3.The electrostatic charges for
all the cofactors were computed based
on the MK-RESP (Merz–Kollman Restrained Electrostatic Potential)
methodology.[97,98] For the organic cofactors, first
the hydrogens atoms were optimized at the B3LYP/Def2-SVP level[99,100] and then single-point calculations were performed at the HF/6-31G*
level of theory[97,101,102] using the ORCA program[103] and RESP fitting
of the charges was performed using the Multiwfn code.[104] A bonded model is employed for the computation
of the RESP charges on the OEC (Mn4CaO5- Oxygen
Evolving Complex) and NHI (nonheme iron) sites, as a first step, a
small cluster model is built around metal sites including the side
chain of the residues which form a direct coordination with the metal
site. The OEC is modeled in its S1 state of the Kok–Joliot
cycle, i.e., the oxidation states are Mn1(III)–Mn2(IV)–Mn3(IV)–Mn4(III)
and involved ligands are Asp170, Glu354, Ala344, Asp342, Glu189, His332,
Glu333, and four H2O molecules. Similarly, the NHI site
is modeled as Fe(II) with the ligands HCO3–, His214, His268, His215, and His272. These models were first optimized
at B3LYP/Def2-TZVP and then RESP fitting is performed at B3LYP/6-31G*
level. More importantly, we restrained the charge of the backbone
atoms of the residues according to the original AMBER force field[102] as such a procedure is known to produce better
backbone dynamics during the simulation.[105] The RESP charges of the chlorophylls and the hemeiron site were
calculated in a similar fashion. The chlorophylls and the heme-iron
are ligated axially to amino acids and water molecules, wherever applicable.
For example, PD1 and PD2 of the reaction center
are axially ligated to histidine residues and ChlD1 and
ChlD2 are axially ligated to a single water molecule. Similarly,
both heme sites are bound axially with two histidine residues.Bonded parameters for the chlorophyll a,[106] heme,[107] and nonheme
iron site[108] were obtained from the literature.
Custom bonded parameters were defined for the OEC based on the study
by Guerra et al.[109] Parameters for the
standard protein residues were described using the Amber14SB force
field.[110] The TIP3P model[111] was chosen for the water. The bonded parameters for the
organic cofactors were described with GAFF2.[112] The LIPID17 force field[113,114] was chosen to describe
our POPC bilayer. The nonbonded parameters for the metal ions were
based on their respective oxidation states using data sets[105,115,116] available for the TIP3P water
model. For Na+ and Cl–, we used the Joung–Cheatham
parameters compatible with the TIP3P water model.[117,118]
Classical Molecular Dynamics Simulations
The complete system was minimized systematically to remove unfavorable
geometric clashes. During the equilibration phase, the system is slowly
heated from 10 to 100 K during 5 ps in the NVT ensemble. In the next
step, the temperature is slowly increased from 100 to 303 K in the
NPT ensemble, while maintaining the positional restraints (20 kcal
mol–1 Å–2) on the Cα atoms of amino acids. The temperature during this procedure is controlled
using the Langevin dynamics[119] with a collision
frequency of 5 ps–1. We released the restraints
on Cα atoms in a controlled fashion (2 kcal mol–1 Å–2/400 ps) and subsequently
invoked the Monte Carlo/Molecular Dynamics (MC/MD) module[120] for a controlled hydration and dehydration
from bulk to protein, and vice versa. The system was then further
equilibrated for another 63 ns in the NPT ensemble to properly equilibrate
the lipid bilayer. Thereafter, we initiated the production simulation
for 12 ns in the NPT ensemble using the collision frequency (Langevin
dynamics) of 1 ps–1. The pressure was regulated
anisotropically using the Berendsen barostat[121] with a relaxation time of 2 ps and maintained at 1 bar. Particle
Mesh Ewald (PME)[122] approach is used to
treat all electrostatic interactions with a 10 Å cutoff. The
SHAKE algorithm[123] was used to constrain
bonds involving hydrogen atoms, which allowed us to use a time step
of 2 fs. The frames were saved every 2 ps. Minimizations were performed
using the CPU version while equilibration and production simulations
were performed using the GPU version of the pmemd engine[124−126] of the AMBER18 package.[127,128]
QM/MM Protocol
For the purposes of
the present work we extracted five snapshots of the complete system
from the classical molecular dynamics to be used in the QM/MM calculations.
The first snapshot, which represents a structural configuration that
is close to the crystal structure of PSII, is derived from the early
equilibration procedure, where we clustered[129] a series of frames from the trajectory using the CPPTRAJ[130,131] module of AmberTools19. The other four snapshots were derived from
the production run, that is, from an unbiasedly evolved, completely
hydrated, and thoroughly equilibrated system. These four snapshots
are equally spaced from each other, i.e., captured with an interval
of 4.0 ns, which ensures that these snapshots are structurally uncorrelated.
Inspection of the overall protein structure overlay (Figure S1 of the Supporting Information, SI) of these snapshots confirms that
the structural configuration of the protein in these snapshots is
distinct. For the QM/MM setup we considered the entire PSII monomer
and a total of 8000 water molecules, which includes all the waters
presents in the protein cavity, various channels, and ∼7 Å
bulk-region around the protein. In order to keep the system neutral,
we maintained the required amount of Na+ ions at their
equilibrated positions. The final QM/MM system contains a total of
76 056 atoms.The QM/MM calculations were performed with
ChemShell 3.7,[132−134] where the in-built DL-POLY[135] was used for MM computations, whereas ORCA[103] was the QM engine. Our calculations are based
on the electrostatic embedding technique. Covalent bonds were cut
using the hydrogen link atom approach. The charge-shift method implemented
in ChemShell is used to avoid overpolarization of the QM region by
the MM region. For a given snapshot, we carried individual QM/MM geometry
optimization calculations of ChlD1, ChlD2, PheoD1, and PheoD2, while the PD1/PD2 pair is treated as a single QM unit in QM/MM optimizations due to
the close proximity of the two chlorophylls. With such a procedure,
we retain the symmetry breaking feature of the vinyl moiety in PD1/PD2, which is otherwise poorly represented by
the MM force field. Similar concerns were raised by Mennucci and co-workers,[136] who found overstabilization of the acetyl group
of Bacteriochlorophyll a by the MM force-field. In
addition, with this approach both chromophores of the PD1/PD2 pair retain their macrocyclic ring curvature, important
for the position of the Q-band,[137,138] induced by
their spatial proximity. Therefore, the geometry for all the single
point calculations on the individual PD1 and PD2 is derived directly from the pair-optimized geometry.During
all QM/MM geometry optimizations the model is divided into
two parts, active and static. The active region is defined by a QM
subregion and an active MM region, whereas the static region remains
fixed in the optimization procedure and can only influence the active
region through the electrostatic effect of the point charges. In our
cases where single chromophore is studied, we chose all residues and
cofactors which are ca. 13 Å around the QM region (approximately
1300–1600 atoms). A larger active MM region (15 Å) was
chosen for the optimization of the special pair (ca. 2650 atoms).
For all the geometry optimizations, we employed the PBE functional[139] and Def2-TVZP basis set,[140] along with D3(BJ) dispersion corrections.[141,142] To speed up the calculations of Coulomb integrals we employed the
resolution of identity (RI) approximation,[143,144] in combination with Weigend’s universal Def2/J auxiliary
basis set.[145] We used tight convergence
criteria and a higher than default integration grid (grid6 in ORCA
nomenclature) for all optimizations.
Computation
of Excitation Energies
The computation of vertical excitation
energies (VEE) in this work
is performed on the QM/MM optimized geometries of the chromophores.
The explicit effect of the entire PSII monomer environment on the
electronic properties of chromophores is included through point-charges,
handled by the orca_pc module which adds the contribution
of the charges in the one-electron matrices and nuclear repulsion.
We elucidated the effect of specific protein components on the excitation
energies by switching off the corresponding point charges. Full Time-Dependent
Density Functional Theory (TD-DFT), i.e., without the Tamm–Dancoff
approximation, was used to compute the excited state properties using
the range-separated ωB97X-D3(BJ)[146−148] functional along with
the Def2-TZVP basis set. The choice of functional was guided by its
highly successful application in related studies of biological chromophores[149] and its established superior performance for
the treatment of charge-transfer states with TD-DFT.[150] The appropriateness of the functional is additionally confirmed
in the present work via direct comparisons with coupled cluster theory.
The RIJCOSX approximation[151,152] is used to speed up
the calculations. In addition, very tight SCF convergence criteria
were set along with higher integration grids (grid6 and gridX7 in
ORCA nomenclature) in all cases considered in this work. We have computed
20 roots in all cases. We have also performed calculations with the
long-range corrected LC-BLYP[153] functional,
with the same settings as described above. In addition to individual
chromophores we computed the excited states of groups of adjacent
RC chromophores. The selection of pairs and trimers is based on proximity
and on existing hypotheses about the primary excitation and charge
separation.[26,29] Independently optimized geometries
of individual chromophores were used to set up the oligomeric assemblies.Despite using the best available functionals, known problems in
the performance of TD-DFT in general and for charge-transfer states
in particular,[154−162] indicate that independent validation beyond DFT is necessary to
build confidence in the results,[88,163,164] especially when excited state properties of coupled
chromophores are considered. Thus, both in order to obtain results
that overcome potential limitations of TD-DFT and to further probe
the nature of the excited states of the chromophores with an orthogonal
methodology, we employed, for the first time in such a large-scale
simulation, the domain based local pair natural orbital (DLPNO) implementation
of the similarity transformed equation of motion coupled cluster theory
with single and double excitations, STEOM-CCSD.[164−170] A recent study showed this method to provide a highly accurate description
of all features of the gas-phase absorption spectrum of chlorophyll a,[171] while another study[172] showed that it performs exceptionally well
for charge-transfer states, on par with coupled cluster methods that
include triple excitations, in contrast to more approximate approaches
such as CC2. For the coupled cluster QM/MM calculations, the first
of their kind to be conducted on a photosynthetic reaction center,
we computed in total 6 roots for each chromophore using the Def2-TZVP(-f)
basis set for all atoms. When applied to pairs of chromophores, to
maintain feasibility of the coupled cluster calculations the chlorophyll
and pheophytin models were truncated by omitting macrocyclic ring
substituents. With this procedure, we keep the number of basis functions
within the bounds of computational feasibility while maintaining the
chemical information regarding the nature and energetic order of excited
states in RC chromophore pairs. For the DLPNO-STEOM-CCSD calculations
of chromophore assemblies we have resorted to the Def2-SVP basis set
and computed 20 roots in total. The RIJCOSX approximation is used
to speed up the calculations throughout. “TightPNO”
settings were applied for the DLPNO calculations. The TCutPNOsingles cutoff was set to 6.6 × 10–10 and the active space selection keywords “Othresh”
and “Vthresh” were set to 5.0 × 10–3.
Results and Discussion
Structural
Aspects of Pigment–Protein
Interactions
The intrinsic photophysical properties of the
chromophores are engineered in the protein matrix for efficient light
harvesting. In Photosystem II various domains of multichromophoric
systems exist, such as internal antenna systems (CP43 and CP47) and
the reaction center. The chromophores in the RC, i.e., four chlorophyll a and two pheophytin a molecules, are symmetrically
placed along the D1 (344 residues) and D2 (342 residues) polypeptide
chains. These chromophores are situated deep inside the transmembrane
region of PSII, and far away from the solvent exposed stromal and
lumenal regions. Due to differences in the amino acid sequence of
D1 and D2,[14] and overall PSII structural
organization, the chromophores may experience distinct strain and
electrostatic effects.The chlorophylls of the PD1/PD2 pair are weakly stacked in the middle of the PSII
monomer and both of them are axially ligated with histidine residues,
His198 for PD1 and His197 for PD2 (Figure ). The accessory
chlorophylls ChlD1 and ChlD2 are axially ligated
with a single water molecule, while another water molecule is present
in the PSII crystal structure that hydrogen-bonds simultaneously with
the axially ligated water and the C-132–COOCH3 substituent. However, important differences are found in
the second coordination sphere of ChlD1 and ChlD2. The axially ligated water forms further hydrogen bond with Thr179
in case of ChlD1, but the axial water of ChlD2 does not participate in any further hydrogen bonding and a hydrophobic
Ile178 is found instead in its vicinity. Other important structural
differences exist in the peripheral region, where the C-131 keto group of the macrocyclic ring is hydrogen bonded with a single
water molecule. This water molecule is also found to be highly conserved
across many high-resolution crystal structures. Interestingly, a recent
experimental study using absorption spectroscopy and Resonance Raman
techniques by Robert and co-workers[173] showed
that hydrogen bonds to the keto group of Chl a can
fine-tune the absorption properties of the LHCII (Light Harvesting
Complex) antenna system. Another investigation by Collini and co-workers[174] showed how such water-mediated interaction
with the peripheral substituents can influence the overall conjugation
in Chl a/b found in the water-soluble
chlorophyll protein (WSCP). A small number of differences also exist
in the immediate environment of the PheoD1 and PheoD2. The C-131 keto group of PheoD1 is
hydrogen bonded to the Gln130, whereas, the C-131 keto
group of PheoD2 can establish two hydrogen bonds simultaneously
with Gln129 and Asn142. The C-132–COOCH3 and C-173–COOR groups of PheoD1 hydrogen-bonds
to two tyrosines, Tyr147 and Tyr126. However, C-132–COOCH3 and C-173–COOR groups of PheoD2 are surrounded by hydrophobic residues (Phe255, Phe125, and Phe146).
Figure 3
Protein
environment around chromophores associated with the reaction
center in Photosystem II. Hydrogen bonding interactions are indicated
with dashed lines.
Protein
environment around chromophores associated with the reaction
center in Photosystem II. Hydrogen bonding interactions are indicated
with dashed lines.Analysis of our molecular
dynamics trajectories indicates that
the D1 and D2 chains are extremely stable throughout the simulations
compared to the dynamic evolution of the complete system (Figure ). This strongly
suggests that the D1 and D2 proteins do not undergo any large-scale
conformational change in the PSII core complexes within the time scale
of the simulation. The stability of the D1 and D2 poly peptides ensures
that the relative orientations of the chromophores stay essentially
intact. In terms of individual chromophores (Figures and S2–S7), we observe that the distance between PD1 and PD2 spans only a very narrow range around the average of ca.
3.5 Å along the simulation. Contrasting behavior is seen between
ChlD1 and ChlD2 with respect to the hydrogen-bonding
interactions of their C-131 keto groups with the nearby
water molecule. This hydrogen bond appears quite constrained in the
case of ChlD1 but samples a wider range of distances in
the case of ChlD2. Finally, we observe that the protein
environment around PheoD2 is highly dynamic, with significant
degree of rotations for the side-chains of Gln129 and Asn142. In contrast,
the hydrogen bonding interaction of PheoD1 with Gln130
remains stable throughout the MD simulation and no large fluctuations
in side-chain conformations are observed. Overall, production MD simulations
over 12 ns strongly indicate that the environment of the D1 branch
chromophores is more rigid and under tighter steric control of the
protein matrix than the D2 branch.
Figure 4
Time evolution of the root-mean-square
deviation (RMSD in Å)
of the Cα atoms of the complete PSII complex and
of the D1 and D2 core polypeptides during the production MD run. Disordered
regions of the protein are not considered in the RMSD calculations.
Figure 5
Time evolution of selected distances involving RC chromophores
during the production MD run. Further details are provided in the SI.
Time evolution of the root-mean-square
deviation (RMSD in Å)
of the Cα atoms of the complete PSII complex and
of the D1 and D2 core polypeptides during the production MD run. Disordered
regions of the protein are not considered in the RMSD calculations.Time evolution of selected distances involving RC chromophores
during the production MD run. Further details are provided in the SI.
Excitation
Profiles of Individual Chromophores
The protein environment
is known to influence the excited state
properties of the chromophores in various ways, such as geometric
strain, hydrogen bonding, and electrostatic effects. To understand
the influence of these factors in a bottom-up fashion, first we computed
the excited state properties of individual chromophores using their
QM/MM optimized geometries but in the absence of any representation
of the protein environment. These gas-phase TD-DFT calculations with
the ωB97X-D3(BJ) functional lead to approximately the same S0 → S1 (Q) vertical
excitation energies for all chromophores, within the narrow range
of 1.920–1.943 eV (see Figure and Tables S1–S4). Similar results were obtained in past studies[62,65] where a uniform dielectric medium was used to mimic the protein
environment. As the geometries of the pigments already incorporate
the structural effects of the protein matrix, we conclude that the
protein-induced strain on the macrocyclic rings is not responsible for inducing functional asymmetry in the localization
of the lowest excited state in the RC.
Figure 6
Lowest-energy excitations
(site energies), in eV, of PSII reaction
center chromophores without (red) and with (green) the protein electrostatic
environment. The calculations were performed with the ωB97X-D3(BJ)
functional using QM/MM geometries.
Lowest-energy excitations
(site energies), in eV, of PSII reaction
center chromophores without (red) and with (green) the protein electrostatic
environment. The calculations were performed with the ωB97X-D3(BJ)
functional using QM/MM geometries.Subsequently, excited state calculations using the same QM/MM optimized
geometries were performed in a TD-DFT–QM/MM fashion, i.e.,
in the presence of the protein electrostatic environment (values in
green in Figure ).
Two striking observations can be made: (a) all four chlorophyll a chromophores of the RC are red-shifted upon embedding
in the protein environment, whereas both pheophytins are blue-shifted
(∼0.1 eV), and (b) ChlD1 is the most strongly red-shifted
pigment. Interestingly, the “special pair” PD1–PD2 displays negligible internal asymmetry in
terms of site energies either with or without the protein matrix.
The identification of ChlD1 as the pigment with the lowest
energy excited state supports previous interpretations that account
for the effects of the protein matrix.[21−23,67,76,175]Different quantum chemical methods agree on the absence of
noticeable
asymmetry in calculations that omit the electrostatic effect of the
protein, even though they provide different absolute values for the
excitations, which is anticipated (see SI). What is important for the fundamental question of the emergence
of excitation asymmetry is the reliable reproduction of the nature
and extent of red or blue shift of the lowest excitation when the
electrostatic effect of the protein matrix is included in the calculations.
Comparison of the shifts produced by different methods (Table ) shows that ωB97X-D3(BJ)
and LC-BLYP produce very similar shifts, in line with those of DLPNO-STEOM-CCSD
calculations. The coupled cluster results agree best with ωB97X-D3(BJ).
The only significant difference between the two methods is that STEOM-CCSD
predicts an even stronger blue shift for PheoD2.
Table 1
Comparison of Electrochromic Shifts
(in eV) of Site Energies (Q) from the Gas-Phase to the Protein Matrix for Individual Reaction
Center Chromophores, Computed with TD-DFT Using Two Different Range-Separated
Density Functionals and with DLPNO-STEOM-CCSD
ωB97X-D3(BJ)
LC-BLYP
DLPNO-STEOM-CCSD
PD1
–0.018
–0.016
–0.020
PD2
–0.023
–0.021
–0.015
ChlD1
–0.064
–0.062
–0.067
ChlD2
–0.027
–0.025
–0.025
PheoD1
+0.141
+0.136
+0.142
PheoD2
+0.145
+0.140
+0.177
It is evident that two types of protein matrix electrostatic
asymmetry
develop within the transmembrane region: (a) transverse asymmetry, which red-shifts the chlorophylls and blue-shifts the pheophytins,
and (b) lateral asymmetry, which differentiates the
D1 and D2 branches. This is also reflected in the electrostatic potential
as experienced by the chromophores in the protein matrix. The potential
is indeed distinct along D1 and D2, and the pheophytins reside in
a relatively more positive electrostatic potential pocket (Figure ). Therefore, the
intrinsic protein electrostatic environment is the principal factor
in modulating the distribution of excitation energies of RC chromophores
and giving rise to both chlorophyll–pheophytin asymmetry (transversely)
and D1–D2 branch asymmetry (laterally).
Figure 7
Electrostatic potential
experienced by the reaction center chromophores
(in kT/e) inside the protein matrix. The calculations were performed
using the APBS (Adaptive Poisson–Boltzmann Solver) program[176] on the crystal-structure-like configuration
of the protein (snapshot 1).
Electrostatic potential
experienced by the reaction center chromophores
(in kT/e) inside the protein matrix. The calculations were performed
using the APBS (Adaptive Poisson–Boltzmann Solver) program[176] on the crystal-structure-like configuration
of the protein (snapshot 1).The asymmetry induced by protein electrostatics can be associated
with differences between the D1 and D2 sequences, spatial proximity
of charged residues and redox active cofactors, and the overall organization
of extrinsic proteins, which differ in cyanobacteria, algae, and higher
plants. Each chromophore experiences the intrinsic protein electrostatics
differently because of their location and orientation with respect
to the transmembrane region. Therefore, the asymmetry in the reaction
center is not an intrinsic property related to the spatial arrangement
of the chromophores. This explains why past computational studies
that used at most a uniform dielectric to mimic the protein environment[62,65] reported essentially the same Q energies for the individual RC chromophores but did not reproduce
the excitation asymmetry that is a feature of the real system. It
is noted that previous works[20,23,33] employing spectral modeling have assigned nearly equal Q energies of chlorophylls and pheophytins.
This is not in line with the present results and further work is required
for a confident analysis of the optical spectrum. It cannot be excluded
that a more elaborate theoretical treatment of the protein environment,
for example with inclusion of polarization effects, may provide a
better balance between the spectral fitting and the quantum chemical
results.Identification of the key protein components that give
rise to
asymmetry in the reaction center is important for our overall understanding
of unidirectional electron transfer. Protein electrostatics are responsible
for red-shifting ChlD1 by 0.064 eV (516 cm–1), which is by far the most drastic protein matrix effect on a single
chromophore. The major contributors to this red-shift include Met172
(76 cm–1) and Phe158 (48 cm–1).
Interestingly, the pseudosymmetric partners of these ChlD1 “red-shifters” are different on the
ChlD2 side, which suggests that localized factors control
the asymmetry around these chlorophylls. Additional contributions
arise from PD1 (79 cm–1), and from the
chloride ions in the vicinity of the OEC (61 cm–1). However, major contributors toward the 0.141 eV (1137 cm–1) blue shift of PheoD1 were found to be mostly the closely
lying amino acids and cofactors, including Tyr147 (115 cm–1), Pro150 (89 cm–1), ChlD1 (66 cm–1), Leu151 (52 cm–1), and Ile213
(28 cm–1).It has been suggested that the
OEC or residues that coordinate
the Mn4CaO5 cluster contribute to the red shift
of ChlD1.[67] Our calculations
show that this is not the case and we attribute this to incorrect
MM setup. Specifically, the use of integer charges for the Mn ions
of the OEC in accordance to formal oxidation states results in exaggerated
concentration of charge on the inorganic core and individually on
its ligands. The physically motivated approach is to use distributed
charges as in the present work, deducing them from RESP calculations
that treat the Mn4CaO5 cluster and all
its covalently bonded ligands as a single chemical entity.
This eliminates long-range Coulombic artifacts. Beyond the fundamental
technical aspect, attribution of a major site energy determining role
to the OEC is conceptually problematic because normal function of
the reaction center is required for photoassembly of the OEC[177−179] and hence must be independent of its presence.Although we
pinpointed certain major contributors to the observed
shifts, the total shifts in each case are not completely produced
by a limited list of contributions, but instead an ever increasing
number of residues and cofactors with ever smaller contributions can
be found. Therefore, not only localized but also global electrostatics[23] play a key role to produce the total shift compared
to the gas-phase result, which shows that the evolutionary optimization
of the enzyme operates on all scales. The present description has
a parallel in the photosynthetic bacterial reaction center, where
the chromophores were also found to be embedded in a dielectrically
asymmetric environment.[180,181]Some comments
on methodological issues must be made at this point.
First of all, the above observations underline the necessity of the
QM/MM approach for obtaining meaningful results. We confirm that enlarging
a gas-phase QM model by including several selected amino acid residues
around each chromophore does not even begin to approximate the full
QM/MM results. Another critical methodological issue relevant to studies
that employ QM or QM/MM methods is the use of experimental (crystallographic)
structures for the pigments. This choice is detrimental for quantum
chemical approaches (alternative approaches[23,175,182] for studying site energies are
largely unaffected) because experimental structures typically do not
exhibit correct bond length alternation of conjugated systems,[86,87] often not even qualitatively. This is, however, the key geometric
parameter that governs the electronic structure of the ground and
excited states because it directly determines the nature and energetics
of frontier orbitals. Therefore, the use of experimental geometries
introduces a fundamental inconsistency between the quantum chemical
approach and the structural model on which it operates, leading to
randomization of results through uncontrolled errors. When this is
coupled with the neglect of protein matrix electrostatics, the combined
methodological deficiencies practically guarantee that the quantum
chemical results are of little relevance to the real system (for example,
a study[183] that satisfies none of these
conditions finds the lowest-energy excitation of the RC to be localized
on the PheoD1). The same holds for the direct use of force-field
(MM) geometries.[67] These considerations
apply equally to the quantum chemical treatment of multiple RC chromophores,
an even more delicate case because of the sensitivity of interpigment
charge-transfer states on both the geometries of interacting chromophores
and on protein matrix electrostatics.
Excitation
Profiles of Chromophore Pairs
Intermolecular charge-transfer
(CT) excitations, i.e., those where
the electron donor and acceptor are two different chromophores, are
central in the function of reaction centers across photosynthetic
organisms.[36,37,39] Although site energies already reveal a lot about the RC of PSII,
understanding the initiating events of productive primary photoexcitation
requires direct insight into the excitation profiles of multiple chromophores.
To obtain this information we have systematically studied the excited
states of pairs of chromophores in the D1 and D2 branches, i.e., PD1–PD2, PD1–ChlD1, PD2–ChlD2, ChlD1–PheoD1, and ChlD2-PheoD2.The “special
pair” holds a special status both in bacterial reaction centers[13,184] and in Photosystem II,[13,26,29] therefore we focus on this one first. TD-DFT calculations performed
in the gas phase (using the QM/MM optimized geometry of the pair)
reveal that the nature of the lowest excitation, at 1.917 eV, is a
linear combination of local excitations (LE) on PD1 and
PD2 individually. Analysis of the excitations in terms
of natural transition orbitals (NTOs) is provided in Figure . The first excitation with
CT character (root 5), PD1–PD2+, is situated considerably higher in energy, at 3.091
eV. In comparison to the gas-phase results, TD-DFT QM/MM computations
performed with full account of protein electrostatics result in an
overall red-shift of the lowest excited state, which is now predicted
at 1.884 eV, however the nature of the excited state remains the same,
i.e., superposition of local excitations. We note that this is what
one would expect in a Frenkel excitation picture and that the second
excited state (S2, at 1.911 eV, see also Table S5) is also a linear combination of the two local excited
states. Protein electrostatics affect the “directionality”
of the lowest charge transfer state (PD1+PD2–) but do not stabilize it significantly
compared to the gas-phase result (2.999 eV).
Figure 8
A detailed description
of the identity and nature of the lowest
excited state (S1) and of the first root with significant
charge transfer character for the PD1–PD2 and ChlD1–PheoD1 pairs in terms of
Natural Transition Orbitals (NTOs) and relative contributions to a
given excitation. In the case of ChlD1–PheoD1 both states depicted have significant CT character. Vertical
excitation energies (in eV) and oscillator strengths (f) are provided for each state depicted (from ωB97X-D3(BJ) TD-DFT
calculations), comparing the results in the absence (left) and in
the presence (right) of the electrostatic effect of the complete PSII
monomer.
A detailed description
of the identity and nature of the lowest
excited state (S1) and of the first root with significant
charge transfer character for the PD1–PD2 and ChlD1–PheoD1 pairs in terms of
Natural Transition Orbitals (NTOs) and relative contributions to a
given excitation. In the case of ChlD1–PheoD1 both states depicted have significant CT character. Vertical
excitation energies (in eV) and oscillator strengths (f) are provided for each state depicted (from ωB97X-D3(BJ) TD-DFT
calculations), comparing the results in the absence (left) and in
the presence (right) of the electrostatic effect of the complete PSII
monomer.Next, we have investigated the
symmetry-related PD1-ChlD1 and PD2-ChlD2 pairs along the active
and inactive chains. The lowest excited state (1.905 eV) computed
from gas-phase calculations on PD1-ChlD1 is
a linear combination of local excitations on ChlD1 and
PD1, whereas the first CT state (root 9, PD1– ChlD1+) was found much
higher in energy (3.639 eV). Protein electrostatics induce an overall
red shift in the lowest excited state (1.843 eV) and character alteration
of the lowest excited state, which becomes a local excitation on ChlD1. In addition, the lowest CT state (root 5) changes in directionality
(PD1+ ChlD1–) and
is found much lower in energy, at 3.130 eV. Similar observations are
made for the PD2–ChlD2 pair, where in
relation to the gas-phase results the protein electrostatics induces
a red-shift of the lowest excited state (1.895 eV, LE on PD2), lowers the energy and alters the directionality of the first CT
state (PD2+ ChlD2–, root 5, 3.232 eV, see also Table S7).In the case of the ChlD2-PheoD2 pair (see Figure S8), the gas-phase calculations indicate
that the lowest energy state (1.926 eV) is a local excitation on ChlD2, whereas the lowest CT state (ChlD2+PheoD2–, root 9) is located at 3.726
eV. Within the protein matrix we computed a slight red-shift of the
lowest excited state (1.903 eV, LE on ChlD2) and a significant
stabilization of the CT state (ChlD2+PheoD2–, root 3) at 2.092 eV.The most
profound demonstration of protein matrix control is observed
in the case of the ChlD1–PheoD1 pair.
The nature of the lowest excited state at 1.905 eV obtained from the
gas-phase calculations on the ChlD1–PheoD1 is primarily a local excitation on the ChlD1. The first
CT state (root 9, ChlD1+PheoD1–) is much higher in energy (3.728 eV). In this case,
however, protein electrostatics drastically reorganize the excitation
profile of the pair. The lowest excited state is computed at 1.828
eV and has significant ChlD1+PheoD1– charge transfer character (Figure ). Crucially, this particular CT state marks
the lowest-energy excited state among all chromophore pairs of the
PSII RC. In fact, not only the first but also the second excited state
computed for this pair display significant or dominant CT character
favoring excitation from ChlD1 to PheoD1. The
picture obtained from the NTOs is consistent with the difference densities
computed for these roots, as will also be shown for the additional
MD snapshots discussed in the present work and which have pure ChlD1+PheoD1– charge-transfer
character (vide infra).The above results are in line with observations
from Stark spectroscopy,[36,37] where the ChlD1+PheoD1– CT state was found
to be mixed with LE on ChlD1. This
mixing was proposed to be crucial for initiating charge separation
in the RC. A similar observation was made by Valkunas and co-workers,[66] where a good fit of the Stark spectrum (using
complex time-dependent Redfield theory) was obtained with inclusion
of the ChlD1+PheoD1– CT state, which was found to be more important in reproducing the
Stark spectrum than the CT state originating from PD1–PD2+.Calculation of the
excited states of the ChlD1–PheoD1 pair
using the conductor-like polarizable continuum model
(CPCM)[185,186] with a constant dielectric (ε = 4,
appropriate for the transmembrane region) does not produce significant
differences in the excitation spectrum of the chromophore pair compared
to the gas-phase results. The lowest gas-phase CT state (S9, 3.728 eV) is only marginally stabilized by CPCM (S8,
3.592 eV). Overall the nature of all excited states remains essentially
indistinguishable from the gas-phase TD-DFT spectrum, and hence the
continuum dielectric approach is no substitute for the electrostatically
asymmetric protein matrix.Even by using one of the best available
DFT methods, the fact that
we predict the lowest excited state to have dominant CT character
creates the need for further confirmation, because the correct prediction
of CT character has been historically a challenge for TD-DFT. The
only definitive way to achieve this is to go beyond DFT. Excited states
of truncated pigment pairs computed by DLPNO-STEOM-CCSD (see discussion
in the SI and Tables S15 and S16) confirm the nature of excited states obtained
with ωB97X-D3(BJ), and therefore fully support the above conclusions
beyond any conceivable uncertainty arising from the level of theory.In conclusion, our QM/MM results on monomer and pair excitation
energies confirm ChlD1 as the pigment with the lowest site
energy and furthermore identify the lowest excitation of the RC as
associated with a CT state of the ChlD1–PheoD1 pair.
Excited States of the PD1–PD2–ChlD1 Trimer
The results presented
above firmly support a CT excited state of the type ChlD1+PheoD1– as the lowest energy
excited state among pairs of RC chromophores, and hence suggest that
actual charge separation would occur accordingly within this pair.
An alternative pathway mentioned in the introduction as one of the
possibilities under discussion involves excitation of PD1 or the PD1–PD2 pair with charge transfer
to ChlD1. To investigate this possibility we conducted
the same type of QM/MM calculations with simultaneous inclusion of
all three relevant chromophores in the QM region (PD1,
PD2, and ChlD1). The TD-DFT QM/MM results presented
and analyzed in terms of NTO compositions in Table S17 show that the lowest excited state of the trimer (S1 at 1.836 eV) is fully localized on ChlD1, which
is consistent with the attribution of the lowest site energy of the
RC to this pigment. The second and third (S2 at 1.880 eV
and S3 at 1.910 eV) are localized excitations on PD1 and PD2. Charge transfer states begin to appear
above 3 eV. The lowest is a CT state within the PD1–PD2 pair (PD1+PD2–, S7 at 3.050 eV), while the first CT state with PD1+ChlD1– CT character
is S8 at 3.093 eV. These results are in line with those
obtained for monomers and dimers. Therefore, the present data on the
trimer exclude the possibility of an energetically accessible CT excited
state within the RC that involves delocalization of negative charge
onto ChlD1, and strongly disfavor the hypothetical participation
of an anionic ChlD1 species in native PSII charge separation.
Dynamic Control of Low-Energy Charge-Transfer
States
In view of the key role of the electrostatic environment
described above, it is interesting to investigate if the dynamic evolution
of the protein conformation influences the excited state properties
of the RC established so far within a single structural configuration
of PSII. For this purpose, we performed the same set of excited state
calculations, each with individually optimized QM/MM geometries, on
structurally independent snapshots obtained from the molecular dynamics
simulations. These snapshots were obtained from unbiased production
simulations of the PSII–membrane complex, i.e., with no restraints
or constraints. We chose four distinct structural configurations of
the PSII–membrane complex with a consecutive interval of 4
ns. This has the advantage that the excited state properties are computed
on uncorrelated protein configurations that are removed from the crystal
structure minima and are properly hydrated and equilibrated with the
surrounding environment.The overall trend in the respective
blue and red-shift of the individual RC chromophores and the relative
ranking of the Q excitation
energies remains the same, i.e., ChlD1 has the lowest site
energy (Figure ).
Focusing on chromophore pairs, we find that the lowest-lying excited
state of the RC remains on the ChlD1–PheoD1 pair and retains its CT character (ChlD1+PheoD1–) irrespective of the dynamics of the
protein. The above observations suggest that the nature of the intrinsic
electric field of the protein matrix, and the resulting excitation
asymmetry are essentially unperturbed by the conformational dynamics
of the protein. Figure depicts difference densities for the lowest excitation of
the ChlD1–PheoD1 pair, which also demonstrate
that the effect of the protein matrix is the same both in the crystallographic
conformation of the protein and in the selected MD snapshots. Overall,
we conclude that asymmetry does not arise as a result of the random
conformational fluctuations. However, our findings indicate that the
conformational flexibility of the PSII complex plays another important
role.
Figure 9
Effect of protein conformational flexibility on the first excited
state (in eV) of the individual chromophores (a) and on the two lowest
excited states of the PD1–PD2 and ChlD1–PheoD1 pairs of chromophores (b) from
ωB97X-D3(BJ) TD-DFT QM/MM calculations on QM/MM geometries optimized
individually for each snapshot. Snapshot 1 represents the “crystal-like-conformation”
of the protein, whereas snapshots 2–5 were derived from the
production molecular dynamics simulations with regular intervals of
4 ns.
Figure 10
Difference densities describing the lowest
excitation of the ChlD1–PheoD1 pair with
exclusion (top row) and
inclusion (bottom row) of protein electrostatics. With explicit consideration
of the protein matrix the lowest excited state of the RC has dominant
ChlD1+PheoD1– charge
transfer character in the “crystal-like-conformation”
of snapshot 1 and exclusive charge transfer character in the production
MD snapshots 2–5.
Effect of protein conformational flexibility on the first excited
state (in eV) of the individual chromophores (a) and on the two lowest
excited states of the PD1–PD2 and ChlD1–PheoD1 pairs of chromophores (b) from
ωB97X-D3(BJ) TD-DFT QM/MM calculations on QM/MM geometries optimized
individually for each snapshot. Snapshot 1 represents the “crystal-like-conformation”
of the protein, whereas snapshots 2–5 were derived from the
production molecular dynamics simulations with regular intervals of
4 ns.Difference densities describing the lowest
excitation of the ChlD1–PheoD1 pair with
exclusion (top row) and
inclusion (bottom row) of protein electrostatics. With explicit consideration
of the protein matrix the lowest excited state of the RC has dominant
ChlD1+PheoD1– charge
transfer character in the “crystal-like-conformation”
of snapshot 1 and exclusive charge transfer character in the production
MD snapshots 2–5.Protein dynamics are
seen to affect chromophore pairs in different
ways. The conformational flexibility of the protein has little impact
on the excited state properties of the inactive branch or of the PD1–PD2 pair (Figures and S9), whereas
there is a significant impact on the ChlD1–PheoD1 pair of the active branch, where we observe high sensitivity
in the energy of the first excited state. For the conformations of
the protein studied here, we find the S1 states with dominant
(snapshot 1) to pure (all snapshots along the MD) ChlD1+PheoD1– CT character in
the range 1.828 eV (678 nm) to 1.595 (777 nm). Although the absolute
computed values are not suggested to be “exact”, since
there is a dependence of the absolute values on the choice of QM method,
it is interesting to note that this is beyond the nominal threshold
for oxygenic photosynthesis of 680 nm (1.82 eV).We stress that
the number of snapshots used here is very small
and a considerably more extensive sampling of the MD trajectory would
be needed for quantitative analysis. Nevertheless, the present observations
serve adequately as demonstration of principle, namely that the intrinsic
electrostatic environment and flexibility of the protein are responsible
for enabling access to low-energy charge-transfer states. This implies
that protein matrix dynamics can push the red limit of oxygenic photosynthesis
even in species that do not benefit from alternative types of chlorophyll
(d or f). In this sense, specific
variants of core PSII proteins available to different organisms might
be utilized to adjust the red limit in response to environmental conditions
not only by presenting alternate localized electrostatic contributors
to critical pigments but also by favoring different distribution of
global protein conformations. Therefore, electrostatic control by
the dynamically evolving protein matrix must be considered equally
important to the intrinsic absorption properties of participating
chromophores in determining the red limit of photosynthesis.
Implications for Charge Separation Pathways
The computational
results presented above form a solid basis for
exploring the physiological function of the reaction center in PSII
and connecting with various experimental observations. Studies on
sunflower and bean leaves,[43] spinach,[38] green algae,[46] and
cyanobacteria[47] showed that the known threshold
for charge-separation in oxygenic photosynthesis can be pushed to
the far-red region.[38,40,45] Pettai et al.[43,44] reported that higher plants can
evolve oxygen using wavelengths as long as 780 nm. Hughes et al.[45] showed that charge separation in PSII can be
induced with light of 690–730 nm wavelength (1.7–1.8
eV) at 1.7 K. Similarly, Styring and co-workers[38,40] documented generation of the cation radical in RC using far-red
light (up to 750 nm), however a decrease in the overall charge-separated
centers was observed with increasing wavelength. Furthermore, it was
suggested that a significant population of the ChlD1 cation
radical is trapped at cryogenic conditions (5 K) and that Tyr161 (YZ) is the preferred electron donor in this case over the Cyt-b559/ChlZ/CarD2 pathway (see Figure ) in far-red light
at 5 K. This is fully consistent with our results, which show the
“dark” low-lying CT states of the ChlD1–PheoD1 pair to be in the red and far-red region. This implies that
after charge separation within this pair takes place, the cation radical
would initially be formed on ChlD1. The hole would subsequently
migrate to PD1 under physiological conditions. Our results
are also in very good agreement with the suggestion that YZ becomes the preferred electron donor under far-red light at 5 K.
The migration of the ChlD1 hole to the special pair would
require a reorganization of the protein environment that is probably
inhibited at cryogenic temperature, resulting in YZ becoming
an electron donor to ChlD1. Further EPR experiments[39] showed that charge separation upon light excitation
is wavelength-dependent, leading to the hypothesis that PD1 is excited with visible light (532 nm), whereas ChlD1 is excited with far-red light.[39] Our
results on the PD1–PD2–ChlD1 trimer do not support the presence of any energetically
accessible CT state that could lead directly to productive charge
separation along the D1 branch, but the conditions under which the
special pair may function as the primary donor will need further studies
to be clarified.The present results are also of relevance to
understanding RC function in organisms that employ alternative types
of chlorophyll. Specifically, some cyanobacteria acclimatized to far-red
light synthesize Chl d (Acaryochloris marina)[187] or Chl f (Chroococcidiopsis thermalis)[49,188] (absorption
maxima at 710 and 750 nm, respectively) with alterations of chlorophyll
pigments in the light harvesting antennae and possibly in the reaction
centers themselves. The existence and location of Chl d pigments in the RC is a subject of debate.[189,190] In the case of C. thermalis Nürnberg et
al.[49] assigned Chl f to
be the ChlD1 position, while recent work by Judd et al.[191] demonstrated the likelihood of PD2 being occupied by Chl f. Future work will evaluate
these possibilities using the QM/MM approach presented in this study.Finally, our results indicate that protein conformational flexibility
would play a critical role in charge separation and subsequent oxygen
evolution with far-red light. Due to the high dependence of the far-red
absorption capability of ChlD1–PheoD1 on conformational dynamics, only a fraction of PSII centers[38] could lead to formation of the charge-separated
state in far-red. Since four “productive” charge separation
events are required to make one O2 molecule, there is reduced
likelihood that the OEC can advance regularly under these conditions,
i.e., that subsequent far-red charge separations can occur on-time
to advance the catalytic cycle outcompeting recombination. The fact
that low O2 evolution is observed in cyanobacterial and
higher-plant PSII excited with far-red light[43,49] is consistent with this scenario.
Conclusions
We presented large scale MM–MD and QM/MM results on a complete
membrane embedded PSII monomer, focusing on excitation energies of
single and paired reaction center chromophores. The quantum mechanical
level of theory in the QM/MM calculation of excitation energies include
long-range corrected TD-DFT and the DLPNO implementation of the similarity
transformed equation of motion coupled cluster theory with single
and double excitations, STEOM-CCSD. The approach presented here serves
as a reference for future studies of the reaction center. Any deviations
of past reports from the results of the present work for either single
or multiple chromophores can be directly traced to neglect of one
or more of the methodological pillars defined in the present study.Our results demonstrate explicitly that the excitation asymmetry
in the reaction center of PSII is not an intrinsic property of RC
chromophores and does not originate from their distinct geometric
distortion or coordination. Asymmetry is not observed, and cannot
be understood, in the absence of the protein environment. It arises
exclusively through the electrostatic effect of the protein matrix.
We demonstrated that the electrostatic field of the protein acts by
shifting the intrinsic site energies of the chlorophylls and pheophytins
in opposite directions. Red-shifting of chlorophylls versus blue-shifting
of pheophytins creates transverse asymmetry with respect to the membrane
normal. Preferential lowering of site energies and most importantly
of charge-transfer excited states along the D1 side of the Photosystem
II creates lateral asymmetry. In the presence of the protein matrix
the pigment with the lowest site energy is ChlD1 and the
lowest excited state within the reaction center is a state of charge
transfer character localized at the ChlD1–PheoD1 pair. Therefore, the present results support assigning this
pair as the site of initial charge separation in PSII. The central
PD1–PD2chlorophylls do not present low-energy
charge transfer excitations internally, while the possibility of charge
transfer excitation from this pair to ChlD1 is excluded.
Finally, protein dynamics have only weak influence on the localization
of low-energy excitations, but enable charge transfer excitations
within the ChlD1–PheoD1 pair to occur
with far-red light.
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