Charge-transfer processes in bipyrazine and bi-(N-methylpyridine): A semiempirical MO study

In the present paper, the bipyrazine and bi-(N-methylpyridine) dication systems are studied. Charge distributions and occupied and unoccupied molecular orbitals, obtained from semiempirical MNDO calculations, are reported as functions of the length of the -chain connecting the pyrazine/pyridine fragments. Single CI calculations, using ZINDO, are performed, and the transition energies and oscillator strengths for various vertical excitations from the ground state, along with the excited state dipole moments, are reported. The concepts of broken symmetry and localized excitations, to enhance the charge transfer in this class of compounds, are discussed. Comparison with theoretical and experimental studies of core photoionization and valence-excitation in nitrogen-containing molecules is made.     

TCNE-aniline charge transfer complex: ab initio and TDDFT investigations in gas phase

The geometric and electronic structure of tetracyanoethylene (TCNE)-aniline (donor-acceptor type) complex has been investigated in gas phase using ab initio and time dependent density functional theory calculations. Both the above calculations predict a composed structure for the complex, in which the interacting site is a C≡N and C=C bond center in the TCNE and, –NH₂ and π-electrons of aniline. The N atom of aniline is oriented toward the TCNE molecule. The charge transfer transition energy, estimated by calculating the ground-to-excited state transition electric dipole moments of the complex, agree well with the reported experimental value in chloroform medium. TCNE-aniline at ground state. TCNE-aniline at excited state     

Chiroptical structure‐property relations in cyclo[18]carbon and its in silico hydrogenation products

The anisotropy of the optical activity of cyclo[18]carbon (C₁₈), fully hydrogenated C₁₈ (C₁₈H₃₆), and 26 hydrogenated compounds of intermediate composition, C₁₈H_2n, n = 1,2…17, were computed. These compounds were selected because they resemble loops of wire. The maximum gyration for acetylenic and cumulenic subgroups of compounds was linearly proportional to the product of the geometric area over which the charge can circulate, multiplied by the largest separation between carbon atoms on opposing sides of the loops. These geometric quantities can be likened to transition magnetic dipole moments and transition electric dipole moments, respectively, that can be generated in electronic excitations and which contribute in the main to nonresonant optical activity. The correlation between a computed geometric product of distance and area, and a quantum chemical property, establishes that chiroptical structure‐activity relationships can be well established for judiciously chosen series of comparatively large compounds.     

Effect of protein matrix on CP29 spectra and energy transfer pathways

We investigate energy transfer pathways between strongly coupled chlorophylls (Chls) in the CP29 (LHCII B4.1) antenna complex of Pisum sativum, including the possibility of higher energy states. We test for the environmental effects caused by the protein, membrane and solvent using a hybrid QM/MM approach. Classical molecular dynamics simulations of the full CP29 complex embedded in a DOPC membrane have been performed, followed by calculations of the time dependent DFT spectra of all Chls at several timesteps. The relative orientations of transition dipole moments (TDMs) were specifically analyzed, including and excluding the point charge field (PCF) of the surrounding environment.The PCF is found to drastically shift the spectra of specific Chls, while the majority of Chls is mostly unaffected. The net effect on the sum spectrum is however found to be negligible: The few strong changes in Chl spectra cancel each other due to being opposite in sign. We further find that the spectra of the Chls coordinating to water show a blue shift upon introduction of the environment. Conversely, the spectra of the Chls coordinating to glutamine show a red shift upon activation of the PCF.As the main influence of the PCF for tuning the couplings, we identify the energetic position of the individual chromophores. The fine-tuning, especially for states energetically above the Q_y state, is however controlled by the changes in the TDM orientations. We also find an indication for the PCF to steer potentially harmful high energy excitations away from the PSII core complex.     

Ab initio calculations of molecular properties of low–lying electronic states of 2–cyclopenten–1–one – link with biological activity

Geometries, vibrational frequencies, vertical and adiabatic excitation energies, dipole moments and dipole polarizabilities of the ground and the three lowest electronic excited states, S(1)(n, π (*)), T(1)(n, π (*)), and T(2)(π, π (*)) of the 2-cyclopenten-1-one molecule (2CP) were calculated at the CCSD and CCSD(T) levels of approximation. Our results indicate that two triplets T(1)(n, π (*)) and T(2)(π, π (*)) are lying very close each to other, while the singlet S(1)(n, π (*)) is well above them. There are dramatic changes in dipole moments for (n, π (*)) excited states in respect to the ground state. On the other hand the T(2)(π, π (*)) state has a similar dipole moment as the ground state. These changes can be interpreted within the MO picture using electrostatic potential maps and changes in model IR spectra. Our CCSD(T) dipole moment data for the ground state and almost isoenergetic triplets T(1)(n, π (*)) and T(2)(π, π (*)) are 1.469?a.u., 0.551?a.u., and 1.124?a.u., respectively. Dipole polarizabilities of investigated excited states are much less affected by electron excitations than dipole moments. These are the first dipole moment and polarizability data of 2CP in the literature. The changes of molecular properties upon excitation to S(1)(n, π (*)) and T(1)(n, π (*)) correlate with the experimental data on the biological activity of 2CP related to the α, β-unsaturated carbonyl group.     

Influence of p<Emphasis Type="Italic">K</Emphasis><Subscript>a</Subscript> Shifts on the Calculated Dipole Moments of Proteins

The protein dipole moment is a low-resolution parameter that characterizes the second-order charge organization of a biomolecule. Theoretical approaches to calculate protein dipole moments rely on pK _a values, which are either computed individually for each ionizable residue or obtained from model compounds. The influence of pK _a shifts are evaluated first by comparing calculated and measured dipole moments of β-lactoglobulin. Second, calculations are made on a dataset of 66 proteins from the Protein Data Bank, and average differences are determined between dipole moments calculated with model pK _as, pK _as derived using a Poisson–Boltzmann approach, and empirically-calculated pK _as. Dipole moment predictions that neglect pK _a shifts are consistently larger than predictions in which they are included. The importance of pK _a shifts are observed to vary with protein size, internal permittivity, and solution pH.     

Ab initio and DFT conformational study on N-nitrosodiethylamine, (C2H5)2N-N=O

Ab initio (MP2) and DFT (B3LYP) calculations, using the cc-pVTZ and aug-cc-pVTZ basis sets, have been performed to characterize some stationary points on the ground state potential energy surface of the title molecules. Several properties as, for instance, relative energies, the barriers for NO rotation around the NN bond, NBO charges on O and amino N atoms, as well as the dipole moments, have been calculated and analyzed in the light of the structures found. Both computational levels here employed yield three minima, in which the C₂NNO frame is ‘planar’ or ‘quasi-planar’. Important correlations between NBO charges and geometric parameters, as well as between some structural features and dipole moments are also discussed. A total of 17 structures have been found for the (C₂H₅)₂N-N=O molecule. Two ranges of values have been obtained for the dipole moment, with the largest values occurring for the structures in which the nitrogen lone pair is parallel to the NO group π system. For instance, these two ranges are from ~4.1 to 4.5 D, and from ~1.6 to 2.1 D, at the MP2/cc-pVTZ level. These ranges are consistent with a larger and a smaller contribution of a dipolar resonance structure, respectively. As the method or basis set changes the values of the dipole moments change by at most ~0.23 D.     

Molecular dipole effects on tuning electron transfer in a porphine–quinone complex: a DFT and TDDFT study

The effect of a strong electric field generated by molecular dipoles on the ground state electronic structure and the Q and B states as well as the lowest charge transfer (CT) excited state of porphine–2,5-dimethyl-1,4-benzoquinone (PQ) complex has been investigated theoretically. Density functional theory DFT and time-dependent DFT (TDDFT) with the BH&HLYP hybrid functional have been applied in these calculations. The molecular dipole effect was generated by imposing one or two helical homopeptides consisting of eight α-aminoisobutyric acid residues (Aib₈) close to the PQ complex. The molecular dipoles in a close proximity to the PQ complex expose it to an electric field of the order of magnitude of 10⁹ V/m. The presence of the ambient molecular dipoles affects mainly the energy of the lowest CT state and barely the energies of the Q and B states. The molecular dipoles affect the energies of the excited states in a similar way as an external electrostatic field. Hence, the electric field induced by the molecular dipoles of the helical peptides could be used analogously to the external electrostatic field to control electron transfer (ET) in the PQ complex.     

Probing the structural, electronic and magnetic properties of multicenter Fe2S2 0/−, Fe3S4 0/− and Fe4S4 0/− clusters

The structural, electronic and magnetic properties of neutral and anion Fe₂S₂, Fe₃S₄ and Fe₄S₄ have been investigated with the aid of previous photoelectron spectroscopy and density functional theory calculations. Theoretical electron detachment energies (both vertical and adiabatic) of anion clusters for the lowest energy structure were computed and compared with the experimental results to verify the ground states. The optimized structures show that the ground state structures of Fe₂S₂ ^0/?, Fe₃S₄ ^0/? and Fe₄S₄ ^0/? favor high spin state and are similar to their structures in proteins. The electron delocalization pattern for all the clusters and the nature of bonding between Fe and S atoms were studied by analyzing molecular orbitals. Natural population analysis demonstrates that Fe atoms act as an electron donor in all clusters, and the electron density difference map clearly shows the direction of the electron flow over the whole complex. Furthermore, the investigated magnetism shows that the Fe atoms carried most of the magnetic moments, which is due mainly to the 3d state, while only very small magnetic moments are found on S atoms.     

Electric dipole moments of the fluorescent probes Prodan and Laurdan: experimental and theoretical evaluations

Several experimental and theoretical approaches can be used for a comprehensive understanding of solvent effects on the electronic structure of solutes. In this review, we revisit the influence of solvents on the electronic structure of the fluorescent probes Prodan and Laurdan, focusing on their electric dipole moments. These biologically used probes were synthesized to be sensitive to the environment polarity. However, their solvent-dependent electronic structures are still a matter of discussion in the literature. The absorption and emission spectra of Prodan and Laurdan in different solvents indicate that the two probes have very similar electronic structures in both the ground and excited states. Theoretical calculations confirm that their electronic ground states are very much alike. In this review, we discuss the electric dipole moments of the ground and excited states calculated using the widely applied Lippert–Mataga equation, using both spherical and spheroid prolate cavities for the solute. The dimensions of the cavity were found to be crucial for the calculated dipole moments. These values are compared to those obtained by quantum mechanics calculations, considering Prodan in vacuum, in a polarizable continuum solvent, and using a hybrid quantum mechanics–molecular mechanics methodology. Based on the theoretical approaches it is evident that the Prodan dipole moment can change even in the absence of solute–solvent-specific interactions, which is not taken into consideration with the experimental Lippert–Mataga method. Moreover, in water, for electric dipole moment calculations, it is fundamental to consider hydrogen-bonded molecules.     

Excited states and primary charge separation in the pigment system of the green photosynthetic bacterium Prosthecochloris aestuarii as studied by picosecond absorbance difference spectroscopy

Picosecond absorbance difference spectra at a number of delay times after a 35 ps excitation flash and kinetics of absorbance changes were measured of the membrane vesicle preparation Complex I from the photosynthetic green sulfur bacterium Prosthecochloris aestuarii. After chemical oxidation of the primary donor the excitation pulse produced singlet and triplet excited states of carotenoid and bacteriochlorophyll a. With active reaction centers present also the flash-induced primary charge separation and subsequent electron transfer were observed. The singlet excited state of the carotenoid, formed by direct excitation at 532 nm, is characterized by an absorbance band peaking at 590 nm. Its average lifetime was calculated to be about 1 ps. Excited singlet states of bacteriochlorophyll a were characterized by a bleaching of their ground state Q_y absorption bands. Singlet excited states, localized on the so-called core complex, were produced by energy transfer from excited carotenoid. Their lifetime was about 70 ps. A decay component of about 280 ps was ascribed to singlet excited bacteriochlorophyll a in the bacteriochlorophyll a protein. These singlet excitations were partly converted to the triplet state. With active reaction centers, oxidation of the primary donor, P-840, characterized by the bleaching of its Q_y and Q_x absorption bands, was observed. This oxidation was accompanied by a bleaching between 650 and 680 nm and an absorbance increase between 680 and 750 nm. These changes, presumably due to reduction of bacteriopheophytin c (Van Bochove, A.C., Swarthoff, T., Kingma, H., Hof, R.M., Van Grondelle, R., Duysens, L.N.M. and Amesz, J. (1984) Biochim. Biophys. Acta 764, 343–346), were attributed to the reduction of the primary electron acceptor. Electron transfer to a secondary acceptor occurred with a time-constant of 550 ± 50 ps. Since no absorbance changes due to reduction of this acceptor were observed in the red or infrared region, we tentatively assume that this acceptor is an iron-sulfur center.     

Solvent polarity effect on excited-state lifetime of carotenoids and some dyes

The theory demonstrating the role of medium at the fluorescence quenching of polar compounds in solutions is briefly presented. It has been shown, that the rate of S(1) --> X(n) nonradiative conversion between the intramolecular charge transfer states depends on the permanent dipole moments in the ground (S(0)) and excited (S(1), X(n)) states as well as on solvent polarity. A relation for the rate of nonradiative excited-state energy conversion has been obtained and employed to test the known literature data for solvent effect on the S(1)-state lifetime of some biologically significant carotenoids and dyes (phthalimides). For phthalimides, the solvent isotope effect on the S(1)-state energy conversion, when hydrogen is replaced by deuterium in the OH groups of alcohols and water, has been analyzed. Based on the data for fluorescence quenching in solvents of different polarity, the dipole moments in the intermolecular charge transfer S(1) state have been obtained for carotenoids (peridinin, fucoxanthin, uriolide acetate) and for hydrogen-bonding complexes, which are formed by 4-amino-, 4-methylamino-, and 4-dimethylamino-N-methylphthalimides in alcohols and water.     

Intra- and inter-molecular charge transfer: Stark-spectroscopy,photo-induced polarization and pyroeffect in organic films

A transition of an organic molecule from the ground into an excited state is often accompanied by the intra-molecular electronic (or ionic) charge transfer. A degree of this spatial charge transfer may be expressed in terms of the difference between electrical dipole moments of the excited and the ground states. The same is true for the inter-molecular transitions in condensed media, namely, crystals, amorphous films, liquid and solid solutions, etc. The degree of the charge transfer determines the magnitude of various physical effects such as the electro-optical (Stark) effect, optical second harmonic generation, photo-induced polarization, pyro-electric effect and others. The quadratic Stark-effect can be used for a quantitative determination of the charge transfer degree , the other effects can be understood in terms of the charge transfer. This paper is a brief review of various experimental data mostly obtained by the authors which allow the quantitative interpretation using the concept of the charge transfer.     

Estimating Orientation Factors in the FRET Theory of Fluorescent Proteins: The TagRFP-KFP Pair and Beyond

The orientation factor κ², one of the key parameters defining Förster resonance energy transfer efficiency, is determined by the transition dipole moment orientations of the donor and acceptor species. Using the results of quantum chemical and quantum mechanical/molecular mechanical calculations for the chromophore-containing pockets in selected colored proteins of the green fluorescent protein family, we derived transition dipole moments corresponding to the S_0,min → S₁ excitation for green fluorescent protein, red fluorescent protein (TagRFP), and kindling fluorescent protein, and the S_1,min → S₀ emission for TagRFP. These data allowed us to estimate κ² values for the TagRFP-linker-kindling fluorescent protein tetrameric complex required for constructing novel sensors.     

Methylenecyclopropene: local vision of the first <Superscript>1</Superscript>B<Subscript>2</Subscript> excited state

The ¹A₁ ground and the first ¹B₂ excited states of the methylenecyclopropene (triafulvene) are described by localized wave functions, based on 20 structures valence bond structures. The results are compared to CASSCF(4,4) calculations for both the energetics and the dipole moment. Additional calculations with partial electronic delocalization are presented, and it is shown that the dipole moment modification does not correspond to a situation where the antiaromatic situation prevails (with 4n electrons in the cycle). Part of the analysis uses a “trust factor” that helps to decide if a wave function is appropriate to describe a given state. The trust factor compares the VB wave function to the CASSCF’s with their overlap. Finally, the valence bond density is used to produce density maps that illustrate the electron transfer upon excitation.

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Graphical Abstract A projector-based method compares CASSCF wave functions to local wave functions, including Lewis structures as shown in the picture. A “trust factor” (τ) is obtained. Both the ground state and the first excited state of the methylenecyclopropene are discussed

     

Theoretical design of bioinspired macromolecular electrets based on anthranilamide derivatives

Polypeptide helices possess considerable intrinsic dipole moments oriented along their axes. While for proline helices the dipoles originate solely from the ordered orientation of the amide bonds, for 3_10? and α‐helices the polarization resultant from the formation of hydrogen‐bond network further increases the magnitude of the macromolecular dipoles. The enormous electric‐field gradients, generated by the dipoles of α‐helices (which amount to about 5 D per residue with 0.15 nm residue increments along the helix), play a crucial role in the selectivity and the transport properties of ion channels. The demonstration of dipole‐induced rectification of vectorial charge transfer mediated by α‐helices has opened a range of possibilities for applications of these macromolecules in molecular and biomolecular electronics. These biopolymers, however, possess relatively large bandgaps. As an alternative, we examined a series of synthetic macromolecules, aromatic oligo‐ortho‐amides, which form extended structures with amide bonds in ordered orientation, supported by a hydrogen‐bond network. Unlike their biomolecular counterparts, the extended π‐conjugation of these macromolecules will produce bandgaps significantly smaller than the polypeptide bandgaps. Using ab initio density functional theory calculations, we modeled anthranilamide derivatives that are representative oligo‐ortho‐amide conjugates. Our calculations, indeed, showed intrinsic dipole moments oriented along the polymer axes and increasing with the increase in the length of the oligomers. Each anthranilamide residue contributed about 3 D to the vectorial macromolecular dipole. When we added electron donating (diethylamine) and electron withdrawing (nitro and trifluoromethyl) groups for n‐ and p‐doping, respectively, we observed that: (1) proper positioning of the electron donating and withdrawing groups further polarized the aromatic residues, increasing the intrinsic dipole to about 4.5 D per residue; and (2) extension of the π‐conjugation over some of the doping groups narrowed the band gaps with as much as 1 eV. The investigated bioinspired systems offer alternatives for the development of broad range of organic electronic materials with nonlinear properties. © 2009 American Institute of Chemical Engineers Biotechnol. Prog., 2009     

Solvatochromic study of 3‐N‐(N′‐methylacetamidino)benzanthrone and its interaction with dopamine by the fluorescence quenching mechanism

The change in photophysical properties of the organic molecule due to solvatochromic effect caused by different solvent environments at room temperature gives information about the dipole moments of 3‐N‐(N′‐methylacetamidino)benzanthrone (3‐MAB). The quantum yield, fluorescence lifetime of 3‐MAB was measured in different solvents to calculate radiative and non‐radiative rate constants. The results revealed that the excited state dipole moment (μ_e) is relatively larger compared to the ground state dipole moment (μ_g), indicating the excited state of the dye under study is more polar than the ground state and the same trend is noticed with theoretical calculations performed using the CAM‐B3LYP/6‐311+G(d,p) method. Further, the study on preferential solvation was carried out for 3‐MAB dye in ethyl acetate–methanol solvent mixture. The fluorescence quenching method has been employed for the detection of dopamine using 3‐MAB as fluorescent probe, using steady‐state and time resolved methods at room temperature. The method enables dopamine in the micro molar range to be detected. Also, an attempt to verify the quenching process by employing different models has been tried. Various rate parameters are measured using these models, our results indicates the quenching process is diffusion limited.     

Exciton interactions in dimers of bacteriochlorophyll and related molecules

Formalisms are developed for calculating the absorption wavelengths, dipole strengths and rotational strengths for dimers of bacteriochlorophyll and related molecules. The expressions explicitly consider the mixing of bacteriochlorophyll's four main excited states (Q_y, Q_x, B_x and B_y) in the ground and excited states of the dimer. This mixing must be considered in order to account for the hyperchromism and nonconservative circular dichroism found experimentally in oligomers of bacteriochlorophyll and bacteriopheophytin. The spectroscopic properties of the eight absorption bands of a bacteriopheophytin dimer are calculated as functions of the geometry of the dimer. The importance of the mixing of nondegenerate excited states, and of the mixing of doubly-excited states into the dimer's ground state, is evaluated by comparisons with calculations in which these phenomena are neglected. Structures for bacteriopheophytin dimers are found for which most of the calculated spectroscopic properties are consistent with the properties seen experimentally. Possible explanations are considered for the remaining discrepancies between the calculated and observed properties.     

Electronic structure,rovibrational, and dipole moment calculations for the AsCl molecule

The potential energy curves of the 19 lowest-lying singlet and triplet electronic states in the ^2S+1Λ^(+/?) representation of the AsCl molecule have been investigated using the complete active space self-consistent field (CASSCF) with multireference configuration interaction (MRCI+Q) method including single and double excitations and with the Davidson correction. The harmonic frequency ω _e, the internuclear distance R _e, the dipole moment, and the electronic energy with respect to the ground state T _e were calculated for the electronic states considered. By using the canonical functions approach, the eigenvalue E _v, the rotational constant B _v, and the abscissae of the turning points R _min and R _max were calculated for the electronic states up to the vibrational level v?=?60. The values obtained in the present work agree well with corresponding values available in the literature for several electronic states. Fifteen new electronic states were investigated here for the first time.