Excitation energy transfer pathways in light-harvesting proteins: Modeling with PyFREC.

Excitation energy transfer (EET) determines the fate of sunlight energy absorbed by light-harvesting proteins in natural photosynthetic systems and photovoltaic cells. As previously reported (D. Kosenkov, J. Comput. Chem. 2016, 37(19), 1847), PyFREC software enables computation of electronic couplings between organic molecules with a molecular fragmentation approach. The present work reports implementation of direct fragmentation-based computation of the electronic couplings and EET rates in pigment-protein complexes within the Förster theory in PyFREC. The new feature enables assessment of EET pathways in a wide range of photosynthetic complexes, as well as artificial molecular architectures that include light-harvesting proteins or tagged fluorescent biomolecules. The developed methodology has been tested analyzing EET in the Fenna-Matthews-Olson (FMO) pigment-protein complex. The pathways of excitation energy transfer in FMO have been identified based on the kinetics studies. © 2017 Wiley Periodicals, Inc.

PyFREC: Software for Förster electronic coupling evaluation in molecular fragments.

Electronic couplings are crucial for understanding exciton dynamics and associated energy transfer in artificial and natural chromophores. The proposed PyFREC (Python FRagment Electronic Coupling) software enables evaluation of electronic couplings based on the Förster model. PyFREC features the decomposition of electronic couplings, obtained through quantum chemical calculations, into the orientation and dipole strength components. Furthermore, the variation method to evaluate energies of coupled electronic excited states and delocalization of electronic excitations is implemented in the software. PyFREC has been tested on the S22 benchmark dataset of non-covalent complexes and water clusters. © 2016 Wiley Periodicals, Inc.

Effective fragment potential method in Q-CHEM: a guide for users and developers.

A detailed description of the implementation of the effective fragment potential (EFP) method in the Q-CHEM electronic structure package is presented. The Q-CHEM implementation interfaces EFP with standard quantum mechanical (QM) methods such as Hartree-Fock, density functional theory, perturbation theory, and coupled-cluster methods, as well as with methods for electronically excited and open-shell species, for example, configuration interaction, time-dependent density functional theory, and equation-of-motion coupled-cluster models. In addition to the QM/EFP functionality, a "fragment-only" feature is also available (when the system is described by effective fragments only). To aid further developments of the EFP methodology, a detailed description of the C++ classes and EFP module's workflow is presented. The EFP input structure and EFP job options are described. To assist setting up and performing EFP calculations, a collection of Perl service scripts is provided. The precomputed EFP parameters for standard fragments such as common solvents are stored in Q-CHEM's auxiliary library; they can be easily invoked, similar to specifying standard basis sets. The instructions for generating user-defined EFP parameters are given. Fragments positions can be specified by their center of mass coordinates and Euler angles. The interface with the IQMOL and WEBMO software is also described.

Conformationally locked chromophores as models of excited-state proton transfer in fluorescent proteins.

Members of the green fluorescent protein (GFP) family form chromophores by modifications of three internal amino acid residues. Previously, many key characteristics of chromophores were studied using model compounds. However, no studies of intermolecular excited-state proton transfer (ESPT) with GFP-like synthetic chromophores have been performed because they either are nonfluorescent or lack an ionizable OH group. In this paper we report the synthesis and photochemical study of two highly fluorescent GFP chromophore analogues: p-HOBDI-BF2 and p-HOPyDI:Zn. Among known fluorescent compounds, p-HOBDI-BF(2) is the closest analogue of the native GFP chromophore. These irrreversibly (p-HOBDI-BF(2)) and reversibly (p-HOPyDI:Zn) locked compounds are the first examples of fully planar GFP chromophores, in which photoisomerization-induced deactivation is suppressed and protolytic photodissociation is observed. The photophysical behavior of p-HOBDI-BF2 and p-HOPyDI:Zn (excited state pK(a)'s, solvatochromism, kinetics, and thermodynamics of proton transfer) reveals their high photoacidity, which makes them good models of intermolecular ESPT in fluorescent proteins. Moreover, p-HOPyDI:Zn is a first example of "super" photoacidity in metal-organic complexes.

Solvent effects on the electronic transitions of p-nitroaniline: a QM/EFP study.

Solvatochromic shifts of the electronic states of a chromophore can be used as a measure of solute-solvent interactions. The shifts of the electronic states of a model organic chromophore, p-nitroaniline (pNA), embedded in solvents with different polarities (water, 1,4-dioxane, and cyclohexane) are studied using a hybrid quantum mechanics/molecular-mechanics-type technique in which the chromophore is described by the configuration interaction singles with perturbative doubles (CIS(D)) method while the solvent is treated by the effective fragment potential (EFP) method. This newly developed CIS(D)/EFP scheme includes the quantum-mechanical coupling of the Coulomb and polarization terms; however, short-range dispersion and exchange-repulsion terms of EFP are not included in the quantum Hamiltonian. The CIS(D)/EFP model is benchmarked against the more accurate equation of motion coupled cluster with singles and doubles (EOM-CCSD)/EFP method on a set of small pNA-water clusters. CIS(D)/EFP accurately predicts the red solvatochromic shift of the charge-transfer π → π* state of pNA in polar water. The shift is underestimated in less polar dioxane and cyclohexane probably because of the omission of the explicit quantum-mechanical treatment of the short-range terms. Different solvation of singlet and triplet states of pNA results in different probabilities of intersystem crossing (ISC) and internal conversion (IC) pathways of energy relaxation in solvents of different polarity. Computed singlet-triplet splittings in water and dioxane qualitatively explain the active ISC channel in dioxane and predict almost no conversion to the triplet manifold in water, in agreement with experimental findings.

Evolution of amide stacking in larger γ-peptides: triamide H-bonded cycles.

The single-conformation spectroscopy of two model γ-peptides has been studied under jet-cooled conditions in the gas phase. The methyl-capped triamides, Ac-γ(2)-hPhe-γ(2)-hAla-NHMe and Ac-γ(2)-hAla-γ(2)-hPhe-NHMe, were probed by resonant two-photon ionization (R2PI) and resonant ion-dip infrared (RIDIR) spectroscopies. Four conformers of Ac-γ(2)-hPhe-γ(2)-hAla-NHMe and three of Ac-γ(2)-hAla-γ(2)-hPhe-NHMe were observed and spectroscopically interrogated. On the basis of comparison with the predictions of density functional theory calculations employing a dispersion-corrected functional (ωB97X-D/6-311++G(d,p)), all seven conformers have been assigned to particular conformational families. The preference for formation of nine-membered rings (C9) observed in a previous study [James, W. H., III et al., J. Am. Chem. Soc. 2009, 131, 14243] of the smaller analog, Ac-γ(2)-hPhe-NHMe, carries over to these triamides, with four of the seven conformers forming C9/C9 sequential double-ring structures, and one conformer a C9/C14 bifurcated double ring. The remaining two conformers form C7/C7/C14 H-bonded cycles involving all three amide NH groups, unprecedented in other peptides and peptidomimetics. The amide groups in these structures form a H-bonded triangle with the two trimethylene bridges forming loops above and below the molecule's midsection. The structure is a natural extension of amide stacking, with the two terminal amides blocked from forming the amide tristack by formation of the C14 H-bond. Pair interaction energy decomposition analysis based on the fragment molecular orbital method (FMO-PIEDA) is used to determine the nonbonded contributions to the stabilization of these conformers. Natural bond orbital (NBO) analysis identifies amide stacking with a pair of n → π* interactions between the nitrogen lone pairs and π* orbitals on the carbonyl of the opposing amide groups.

Ethanolysis of N-substituted norbornane epoxyimides: discovery of diverse pathways depending on substituent's character.

Combined experimental and theoretical studies have been carried out to investigate the transformations of the epoxyimides of norbornane into heterocyclic compounds. We established that interaction of the aryl-substituted epoxyimides of norbornane with sodium ethoxide results in the formation of new heterocyclic compounds in preparatively useful yields and with complete regioselectivity. The reactions of epoxyimides, containing aryl electron-donor substituents, result in the formation of endo-9-carbamoyl-exo-2-hydroxy-5-oxo-4-oxatricyclo[4.2.1.0(3,7)]nonanes, while in the case of the absence of an aryl electron-donor group or the presence of aryl electron-withdrawing group in the epoxyimide, exo-2-hydroxy-5-oxo-4-azatricyclo[4.2.1.0(3,7)]nonan-endo-9-carboxylic acids were obtained as products of the ethanolysis reaction. Unexpectedly, the ethanolysis of alkyl-substituted epoxyimides leads to dihydroxyimide formation as the major product. In order to understand the vital role of the imide substituent, a systematic theoretical DFT study at the PCM/B3LYP/6-31+G(d) level was carried out. We found that substituents at the nitrogen atom of epoxyimides exerted remarkable effects on the regioselectivity in the ethanolysis reaction, based on the solvent effects and intramolecular electronic interactions. Particularly, the preference for the formation of dihydroxyimides over heterocyclic systems for alkyl derivatives might be explained by kinetic stability of the formed acetal intermediate over the competitive epoxyamido acid intermediate. The above results provide a convenient and efficient method for predicting the structures of heterocyclic systems formed under basic ethanol conditions depending on the substituent on the nitrogen atom of the norbornane epoxyimides.

Noncovalent interactions in extended systems described by the effective fragment potential method: theory and application to nucleobase oligomers.

The implementation of the effective fragment potential (EFP) method within the Q-CHEM electronic structure package is presented. The EFP method is used to study noncovalent π-π and hydrogen-bonding interactions in DNA strands. Since EFP is a computationally inexpensive alternative to high-level ab initio calculations, it is possible to go beyond the dimers of nucleic acid bases and to investigate the asymptotic behavior of different components of the total interaction energy. The calculations demonstrated that the dispersion energy is a leading component in π-stacked oligomers of all sizes. Exchange-repulsion energy also plays an important role. The contribution of polarization is small in these systems, whereas the magnitude of electrostatics varies. Pairwise fragment interactions (i.e., the sum of dimer binding energies) were found to be a good approximation for the oligomer energy.

Ab initio kinetic simulation of gas-phase experiments: tautomerization of cytosine and guanine.

A novel kinetic approach based on ab initio calculated rate constants has been developed and implemented in the kTSim program. The proposed approach allows prediction of the distribution of reactant and product concentrations over time, based exclusively on computationally obtained rate constants. The newly developed methodology was used to simulate the process of evaporation and tautomerization of guanine and cytosine under thermal (T = 490 K, cytosine; T = 620 K, guanine) and laser (T = 1000 K, 24 ns laser pulse) desorption conditions. Both monomolecular and bimolecular mechanisms of the tautomerization were considered simultaneously. The rates of the reactions were estimated using the values of Gibbs free energies calculated at the MPWB1K/aug-cc-pVDZ level and specified in a kTSim input. We expect that the proposed approach can also be used for accurate kinetic simulation of a wide range of processes.

Effect of a pH change on the conformational stability of the modified nucleotide queuosine monophosphate.

The naturally occurring modified nucleotide queuosine 5'-monophosphate (QMP) related to biochemical regulatory pathways in the cell was investigated using quantum chemical approaches. The relative stability of biologically relevant conformations of QMP in solvent under a pH change was predicted at the BVP86/TZVP and MP2/TZVP levels of theory. Hydrogen bonding in QMP was studied using Bader's approach. The acidity constants of QMP were estimated using the COSMO-RS theory. It has been found that the neutral and anionic forms of QMP are the most stable in the physiological pH range. These forms correspond to the anti/north conformation and exist as zwitterionic tautomers having a negatively charged phosphate group (-1 for neutral and -2 for anionic) and a positively charged secondary amine group in the side chain. It was also found that QMP possesses the syn conformation in the cationic state at pH < 5.0 and undergoes syn to anti conformation transition when the pH increases, remaining in the anti conformation at the higher pH values. The marker IR bands specific for the anionic and neutral QMP forms in the 2300-2700 cm(-1) region were assigned to H-bonded NH groups of the QMP side chain. The bands between 800 and 1300 cm(-1) of the "fingerprint" (400-1500 cm(-1)) region were assigned to the vibrations of the ribose ring, the phosphate group and the side chain of QMP. The predicted IR spectra can be useful for the assignment of vibration bands in the experiential spectra of QMP or identification of the QMP forms. The revealed peculiarities of the QMP conformation sensitivity to a pH change as well as additional formed H-bonds could be responsible for specific nucleotide interactions with enzymes.

Tautomeric equilibrium, stability, and hydrogen bonding in 2'-deoxyguanosine monophosphate complexed with Mg2+.

The tautomeric equilibrium and hydrogen bonding in nucleotide 2'-deoxyguanosine monophosphate that interacts with hydrated Mg2+ cation (4H2O.Mg[dGMP]) were studied at the MP2/cc-pVDZ//B3LYP/cc-pVDZ and B3LYP/aug-cc-pVTZ//B3LYP/cc-pVDZ levels of theory. The Mg2+ ion forms two inner-shell contacts with the nucleotide, similar to small phosphorylated molecules under physiological conditions. The presence of the phosphate group and the hydrated magnesium cation leads to a change in guanine tautomeric equilibrium of 4H2O.Mg[dGMP] in comparison to free guanine. The influence of the phosphate group and the magnesium cation on tautomeric equilibrium is larger in the anti conformation where the P=O-->Mg and Mg<--N7 coordinate bonds are formed. The canonical oxo form of guanine is more stable (by 6-8 kcal/mol) than the O6-hydroxo form in anti conformation. Thus, the interaction with Mg2+ ion is capable of further suppressing the likelihood of a spontaneous transient formation of the rare tautomer. In the syn conformation of 4H2O.Mg[dGMP], the interaction of the guanine nucleobase with the phosphate group and the magnesium cation is not as strong as in the anti conformation, and the relative stability of guanine tautomers is close to those in free guanine.

CL-20 photodecomposition: ab initio foundations for identification of products.

1,5-Dihydrodiimidazo[4,5-b:4'5'e]pyrazine, 1H-imidazo[4,5-b]pyrazine, and 1H-imidazole were considered as possible products of 2,4,6,8,10,12-hexanitro-2,4,6,8,10,12-hexaazaisowurtzitane (CL-20) photodecomposition. Since we took as a reference the product obtained after CL-20 irradiation in methanol solution, the nature of intermolecular bonds between heterocycles under study and methanol molecules was analyzed in detail. Existing hydrogen bonds were found to be quite strong, so dependence of calculations results on an influence of solvent was taken into account using both the polarizable continuum model (PCM) and the supermolecular approach. Electronic spectra of 1,5-dihydrodiimidazo[4,5-b:4'5'e]pyrazine, 1H-imidazo[4,5-b]pyrazine and 1H-imidazole were simulated using time dependent density functional theory (TD-DFT) and single-excitation configuration interaction (CIS) method. We observed that TD-DFT excitation energies are lower if compared to corresponding values obtained by the CIS method. Results of calculations with PCM and the supermolecular approach are very close. It was found that differences between calculated gas phase excitation energies and those values obtained by applying solvent models increases when the number of conjugated bonds in a molecule increases. Oscillator strengths of UV bands of the considered molecules are higher in the gas phase than in modeled methanol solutions. We found that the predicted spectrum of 1H-imidazole is in close agreement with the experimental UV spectrum of the CL-20 photolysis product.

Extension of the Effective Fragment Potential Method to Macromolecules.

The effective fragment potential (EFP) approach, which can be described as a nonempirical polarizable force field, affords an accurate first-principles treatment of noncovalent interactions in extended systems. EFP can also describe the effect of the environment on the electronic properties (e.g., electronic excitation energies and ionization and electron-attachment energies) of a subsystem via the QM/EFP (quantum mechanics/EFP) polarizable embedding scheme. The original formulation of the method assumes that the system can be separated, without breaking covalent bonds, into closed-shell fragments, such as solvent and solute molecules. Here, we present an extension of the EFP method to macromolecules (mEFP). Several schemes for breaking a large molecule into small fragments described by EFP are presented and benchmarked. We focus on the electronic properties of molecules embedded into a protein environment and consider ionization, electron-attachment, and excitation energies (single-point calculations only). The model systems include chromophores of green and red fluorescent proteins surrounded by several nearby amino acid residues and phenolate bound to the T4 lysozyme. All mEFP schemes show robust performance and accurately reproduce the reference full QM calculations. For further applications of mEFP, we recommend either the scheme in which the peptide is cut along the Cα-C bond, giving rise to one fragment per amino acid, or the scheme with two cuts per amino acid, along the Cα-C and Cα-N bonds. While using these fragmentation schemes, the errors in solvatochromic shifts in electronic energy differences (excitation, ionization, electron detachment, or electron-attachment) do not exceed 0.1 eV. The largest error of QM/mEFP against QM/EFP (no fragmentation of the EFP part) is 0.06 eV (in most cases, the errors are 0.01-0.02 eV). The errors in the QM/molecular mechanics calculations with standard point charges can be as large as 0.3 eV.

Thermodynamics of binding of di- and tetrasubstituted naphthalene diimide ligands to DNA G-quadruplex.

Naphthalene diimide ligands have the potential to stabilize human telomeric G-quadruplex DNA via noncovalent interactions. Stabilization of G-quadruplex high order structures has become an important strategy to develop novel anticancer therapeutics. In this study four naphthalene diimide based ligands were analyzed in order to elucidate the principal factors determining contributions to G-quadruplex-ligand binding. Three possible modes of binding and their respective Gibbs free energies for two naphthalene diimide based di-N-alkylpyridinium substituted ligands have been determined using a molecular docking technique and compared to experimental results. The structures obtained from the molecular docking calculations, were analyzed using the ab initio based fragment molecular orbital (FMO) method in order to determine the major enthalpic contributions to the binding and types of interactions between the ligand and specific residues of the G-quadruplex. A computational methodology for the efficient and inexpensive ligand optimization as compared to fully ab initio methods based on the estimation of binding affinities of the naphthalene diimide derived ligands to G-quadruplex is proposed.

Accurate Prediction of Noncovalent Interaction Energies with the Effective Fragment Potential Method: Comparison of Energy Components to Symmetry-Adapted Perturbation Theory for the S22 Test Set.

Noncovalent interactions play an important role in the stabilization of biological molecules. The effective fragment potential (EFP) is a computationally inexpensive ab initio-based method for modeling intermolecular interactions in noncovalently bound systems. The accuracy of EFP is benchmarked against the S22 and S66 data sets for noncovalent interactions [Jurecka, P.; Sponer, J.; Cerný, J.; Hobza, P. Phys. Chem. Chem. Phys.2006, 8, 1985; Rezác, J.; Riley, K. E.; Hobza, P. J. Chem. Theory Comput.2011, 7, 2427]. The mean unsigned error (MUE) of EFP interaction energies with respect to coupled-cluster singles, doubles, and perturbative triples in the complete basis set limit [CCSD(T)/CBS] is 0.9 and 0.6 kcal/mol for S22 and S66, respectively, which is similar to the MUE of MP2 and SCS-MP2 for the same data sets, but with a greatly reduced computational expense. Moreover, EFP outperforms classical force fields and popular DFT functionals such as B3LYP and PBE, while newer dispersion-corrected functionals provide a more accurate description of noncovalent interactions. Comparison of EFP energy components with the symmetry-adapted perturbation theory (SAPT) energies for the S22 data set shows that the main source of errors in EFP comes from Coulomb and polarization terms and provides a valuable benchmark for further improvements in the accuracy of EFP and force fields in general.