Estimation of electronic coupling in π -stacked donor-bridge-acceptor systems: correction of the two-state model

Comparison of donor-acceptor electronic couplings calculated within two-state and three-state models suggests that the two-state treatment can provide unreliable estimates of Vda because of neglecting the multistate effects. We show that in most cases accurate values of the electronic coupling in a π stack, where donor and acceptor are separated by a bridging unit, can be obtained as Ṽ da = (E2 - E1) μ12 Rda + (2 E3 - E1 - E2) 2 μ13 μ23 Rda2, where E1, E2, and E3 are adiabatic energies of the ground, charge-transfer, and bridge states, respectively, μij is the transition dipole moments between the states i and j, and Rda is the distance between the planes of donor and acceptor. In this expression based on the generalized Mulliken-Hush approach, the first term corresponds to the coupling derived within a two-state model, whereas the second term is the superexchange correction accounting for the bridge effect. The formula is extended to bridges consisting of several subunits. The influence of the donor-acceptor energy mismatch on the excess charge distribution, adiabatic dipole and transition moments, and electronic couplings is examined. A diagnostic is developed to determine whether the two-state approach can be applied. Based on numerical results, we showed that the superexchange correction considerably improves estimates of the donor-acceptor coupling derived within a two-state approach. In most cases when the two-state scheme fails, the formula gives reliable results which are in good agreement (within 5%) with the data of the three-state generalized Mulliken-Hush model

Electronic and vibrational contributions to first hyperpolarizability of donor-acceptor-substituted azobenzene

In this study we report on the electronic and vibrational (hyper)polarizabilities of donor–acceptorsubstituted azobenzene. It is observed that both electronic and vibrational contributions to the electric dipole first hyperpolarizability of investigated photoactive molecule substantially depend on the conformation. The contributions to the nuclear relaxation first hyperpolarizability are found to be quite important in the case of two considered isomers (cis and trans). Although the double-harmonic term is found to be the largest in terms of magnitude, it is shown that the total value of the nuclear relaxation contribution to vibrational first hyperpolarizability is a result of subtle interplay of higher-order contributions. As a part of the study, we also assess the performance of long-range-corrected density functional theory in determining vibrational contributions to electric dipole (hyper)polarizabilities. In most cases, the applied long-range-corrected exchange correlation potentials amend the drawbacks of their conventional counterparts

Thermodynamics and log–contrast analysis in fluid geochemistry

There are two principal chemical concepts that are important for studying the natural environment. The first one is thermodynamics, which describes whether a system is at equilibrium or can spontaneously change by chemical reactions. The second main concept is how fast chemical reactions (kinetics or rate of chemical change) take place whenever they start. In this work we examine a natural system in which both thermodynamics and kinetic factors are important in determining the abundance of NH+4 , NO−2 and NO−3 in superficial waters. Samples were collected in the Arno Basin (Tuscany, Italy), a system in which natural and antrophic effects both contribute to highly modify the chemical composition of water. Thermodynamical modelling based on the reduction-oxidation reactions involving the passage NH+4 -> NO−2 -> NO−3 in equilibrium conditions has allowed to determine the Eh redox potential values able to characterise the state of each sample and, consequently, of the fluid environment from which it was drawn. Just as pH expresses the concentration of H+ in solution, redox potential is used to express the tendency of an environment to receive or supply electrons. In this context, oxic environments, as those of river systems, are said to have a high redox potential because O2 is available as an electron acceptor. Principles of thermodynamics and chemical kinetics allow to obtain a model that often does not completely describe the reality of natural systems. Chemical reactions may indeed fail to achieve equilibrium because the products escape from the site of the rection or because reactions involving the trasformation are very slow, so that non-equilibrium conditions exist for long periods. Moreover, reaction rates can be sensitive to poorly understood catalytic effects or to surface effects, while variables as concentration (a large number of chemical species can coexist and interact concurrently), temperature and pressure can have large gradients in natural systems. By taking into account this, data of 91 water samples have been modelled by using statistical methodologies for compositional data. The application of log–contrast analysis has allowed to obtain statistical parameters to be correlated with the calculated Eh values. In this way, natural conditions in which chemical equilibrium is hypothesised, as well as underlying fast reactions, are compared with those described by a stochastic approach

Estimates of electronic coupling for excess electron transfer in DNA

Electronic coupling Vda is one of the key parameters that determine the rate of charge transfer through DNA. While there have been several computational studies of Vda for hole transfer, estimates of electronic couplings for excess electron transfer (ET) in DNA remain unavailable. In the paper, an efficient strategy is established for calculating the ET matrix elements between base pairs in a π stack. Two approaches are considered. First, we employ the diabatic-state (DS) method in which donor and acceptor are represented with radical anions of the canonical base pairs adenine-thymine (AT) and guanine-cytosine (GC). In this approach, similar values of Vda are obtained with the standard 6-31 G* and extended 6-31++ G* basis sets. Second, the electronic couplings are derived from lowest unoccupied molecular orbitals (LUMOs) of neutral systems by using the generalized Mulliken-Hush or fragment charge methods. Because the radical-anion states of AT and GC are well reproduced by LUMOs of the neutral base pairs calculated without diffuse functions, the estimated values of Vda are in good agreement with the couplings obtained for radical-anion states using the DS method. However, when the calculation of a neutral stack is carried out with diffuse functions, LUMOs of the system exhibit the dipole-bound character and cannot be used for estimating electronic couplings. Our calculations suggest that the ET matrix elements Vda for models containing intrastrand thymine and cytosine bases are essentially larger than the couplings in complexes with interstrand pyrimidine bases. The matrix elements for excess electron transfer are found to be considerably smaller than the corresponding values for hole transfer and to be very responsive to structural changes in a DNA stack

Rhodium(I) catalyzed [2+2+2] cycloaddition reactions: experimental and theoretical studies

The [2+2+2] cycloaddition reaction involves the formation of three carbon-carbon bonds in one single step using alkynes, alkenes, nitriles, carbonyls and other unsaturated reagents as reactants. This is one of the most elegant methods for the construction of polycyclic aromatic compounds and heteroaromatic, which have important academic and industrial uses. The thesis is divided into ten chapters including six related publications. The first study based on the Wilkinson’s catalyst, RhCl(PPh3)3, compares the reaction mechanism of the [2+2+2] cycloaddition process of acetylene with the cycloaddition obtained for the model of the complex, RhCl(PH3)3. In an attempt to reduce computational costs in DFT studies, this research project aimed to substitute PPh3 ligands for PH3, despite the electronic and steric effects produced by PPh3 ligands being significantly different to those created by PH3 ones. In this first study, detailed theoretical calculations were performed to determine the reaction mechanism of the two complexes. Despite some differences being detected, it was found that modelling PPh3 by PH3 in the catalyst helps to reduce the computational cost significantly while at the same time providing qualitatively acceptable results. Taking into account the results obtained in this earlier study, the model of the Wilkinson’s catalyst, RhCl(PH3)3, was applied to study different [2+2+2] cycloaddition reactions with unsaturated systems conducted in the laboratory. Our research group found that in the case of totally closed systems, specifically 15- and 25-membered azamacrocycles can afford benzenic compounds, except in the case of 20-membered azamacrocycle (20-MAA) which was inactive with the Wilkinson’s catalyst. In this study, theoretical calculations allowed to determine the origin of the different reactivity of the 20-MAA, where it was found that the activation barrier of the oxidative addition of two alkynes is higher than those obtained for the 15- and 25-membered macrocycles. This barrier was attributed primarily to the interaction energy, which corresponds to the energy that is released when the two deformed reagents interact in the transition state. The main factor that helped to provide an explanation to the different reactivity observed was that the 20-MAA had a more stable and delocalized HOMO orbital in the oxidative addition step. Moreover, we observed that the formation of a strained ten-membered ring during the cycloaddition of 20-MAA presents significant steric hindrance. Furthermore, in Chapter 5, an electrochemical study is presented in collaboration with Prof. Anny Jutand from Paris. This work allowed studying the main steps of the catalytic cycle of the [2+2+2] cycloaddition reaction between diynes with a monoalkyne. First kinetic data were obtained of the [2+2+2] cycloaddition process catalyzed by the Wilkinson’s catalyst, where it was observed that the rate-determining step of the reaction can change depending on the structure of the starting reagents. In the case of the [2+2+2] cycloaddition reaction involving two alkynes and one alkene in the same molecule (enediynes), it is well known that the oxidative coupling may occur between two alkynes giving the corresponding metallacyclopentadiene, or between one alkyne and the alkene affording the metallacyclopentene complex. Wilkinson’s model was used in DFT calculations to analyze the different factors that may influence in the reaction mechanism. Here it was observed that the cyclic enediynes always prefer the oxidative coupling between two alkynes moieties, while the acyclic cases have different preferences depending on the linker and the substituents used in the alkynes. Moreover, the Wilkinson’s model was used to explain the experimental results achieved in Chapter 7 where the [2+2+2] cycloaddition reaction of enediynes is studied varying the position of the double bond in the starting reagent. It was observed that enediynes type yne-ene-yne preferred the standard [2+2+2] cycloaddition reaction, while enediynes type yne-yne-ene suffered β-hydride elimination followed a reductive elimination of Wilkinson’s catalyst giving cyclohexadiene compounds, which are isomers from those that would be obtained through standard [2+2+2] cycloaddition reactions. Finally, the last chapter of this thesis is based on the use of DFT calculations to determine the reaction mechanism when the macrocycles are treated with transition metals that are inactive to the [2+2+2] cycloaddition reaction, but which are thermally active leading to new polycyclic compounds. Thus, a domino process was described combining an ene reaction and a Diels-Alder cycloaddition.

Single and multiple addition to C60. A computational chemistry study

Des del seu descobriment, a la molècula C60 se li coneixen una varietat de derivats segons el tipus de funcionalització amb propietats fisicoquímiques específiques de gran interès científic. Una sel·lecció de derivats corresponents a addicions simple o múltiple al C60 s'ha considerat en aquest treball d'investigació. L'estudi a nivell de química computacional de diversos tipus d'addició al C60 s'han portat a terme per tal de poder donar resposta a aspectes que experimentalment no s'entenen o són poc clars. Els sistemes estudiats en referència a l'addició simple al C60 han estat en primer lloc els monoiminoful·lerens, C60NR, (de les dues vies proposades per la seva síntesi, anàlisis cinètic i termodinàmic han ajudat a explicar els mecanismes de formació i justificar l'addició a enllaços tipus [5,6]), i en segon lloc els metanoful·lerens i els hidroful·lerens substituits, C60CHR i C60HR, (raons geomètriques, electròniques, energètiques i magnètiques justifiquen el diferent caràcter àcid ente ambdós derivats tenint en compte una sèrie de substituents R amb diferent caràcter electrònic donor/acceptor). Els fluoroful·lerens, C60Fn, i els epoxid ful·lerens, C60On, (anàlisi sistemàtic dels seus patrons d'addició en base a poder justificar la força que els governa han aportat dades complementàries a les poques que existeixen experimentalment al respecte).

Estudi dels carotenoides en espècies marrons de bacteris verds del sofre: diversitat, eco-fisiologia i regulació

El present treball es centra en l'estudi a diferents nivells dels carotenoides de les espècies marrons de Bacteris Verds del Sofre (GSB, de l'anglès Green Sulfur Bacteria). L'objectiu global ha estat el d'esbrinar quina és la funció d'aquests pigments dins l'aparell fotosintètic d'aquests microorganismes i aprofundir en el coneixement de la seva estructura i interaccions amb els altres pigments de l'aparell fotosintètic. En primer lloc es va dissenyar un nou mètode de cromatografia líquida d'alta resolució (HPLC) per analitzar de manera més ràpida i precisa els carotenoides de diferents soques de GSB (Capítol 3). Aquest mètode es basa en una purificació prèvia dels extractes pigmentaris amb columnes d'alúmina per eliminar les bacterioclorofil·les (BCls). Això va permetre analitzar amb una elevada resolució i en tan sols 45 min de carrera cromatogràfica els diferents carotenoides i els seus precursors, així com les configuracions trans i cis dels seus isòmers. El segon mètode utilitzat va consistir en una modificació del mètode de Borrego i Garcia-Gil (1994) i va permetre la separació precisa de tot tipus de pigments, procedents tant de cultius purs com de mostres de caràcter complex. Un exemple concret foren uns paleosediments de la zona lacustre de Banyoles. En aquests sediments (0,7-1,5 milions d'anys d'antiguitat) es van detectar, entre d'altres pigments, carotenoides específics de les espècies marrons de GSB, la qual cosa va permetre confirmar la presència d'aquests bacteris a la zona lacustre de Banyoles ja des del Pleistocè inferior. En aquest primer capítol també es van analitzar els carotenoides de Chlorobium (Chl.) phaeobacteroides CL1401 mitjançant cromatografia líquida acoblada a espectrometria de masses (LC-MS/MS), amb l'objectiu de confirmar la seva identificació i el seu pes molecular. A més, també es va avaluar l'efecte de la temperatura, la llum i diferents agents oxidants i reductors en la composició quantitativa i qualitativa dels carotenoides i les BCls d'aquesta espècie. Això va permetre confirmar el caràcter fotosensible de les BCls i que els isòmers trans/cis dels diferents carotenoides no són artefactes produïts durant la manipulació de les mostres, sinó que són constitutius de l'aparell fotosintètic d'aquests microorganismes. El Capítol 4 inclou els experiments de fisiologia duts a terme amb algunes espècies de GSB, a partir dels quals es va intentar esbrinar la dinàmica de síntesi dels diferents pigments de l'aparell fotosintètic (BCl antena, BCl a i carotenoides) durant el creixement d'aquestes espècies. Aquestes investigacions van permetre monitoritzar també els canvis en el nombre de centres de reacció (CR) durant el procés d'adaptació lumínica. La determinació experimental del nombre de CR es va realitzar a partir de la quantificació de la BCl663, l'acceptor primari en la cadena de transport d'electrons dels GSB. L'estimació del nombre de CR/clorosoma es va realitzar tant a partir de dades estequiomètriques i biomètriques presents a la bibliografia, com a partir de les dades experimentals obtingudes en el present treball. El bon ajust obtingut entre les diferents estimacions va donar solidesa al valor estequiomètric calculat, que fou, com a promig, d'uns 70 CR per clorosoma. En aquest capítol de fisiologia també es van estudiar les variacions en les relacions trans/cis pels principals carotenoides de les espècies marrons de GSB. Aquestes es van determinar a partir de cultius purs de laboratori i de poblacions naturals de GSB. Pel que fa als valors trobats en cultius de laboratori no es van observar diferències destacades entre el valor calculat a alta intensitat de llum i el calculat a baixa intensitat, essent en ambdós casos proper a 2. En els clorosomes aïllats de diferents soques marrons aquest quocient prengué un valor similar tant pels isòmers de l'isorenieratè (Isr) com pels del -isorenieratè (-Isr). En poblacions naturals de Chl. phaeobacteroides aquesta relació va ser també de 2 isòmers trans per cada isòmer cis, mantenint-se constant tant en fondària com al llarg del temps. Finalment, en el Capítol 5 es presenta un marcador molecular que permet la identificació específica d'espècies marrons de GSB. Malgrat que inicialment aquest marcador fou dissenyat a partir d'un gen implicat en la síntesi de carotenoides (crtY, el qual codifica per a una licopè ciclasa) la seqüència final a partir de la qual s'han aconseguit els encebadors selectius està relacionada amb la família de proteïnes de les Policètid-ceto-sintases (PKT). Tot i així, l'eina dissenyada pot ser de gran utilitat per a la discriminació d'espècies marrons de GSB respecte les verdes en poblacions mixtes com les que es troben en ambients naturals i obre la porta a futurs experiments d'ecologia microbiana utilitzant tècniques com la PCR en temps real, que permetria la monitorització selectiva de les poblacions d'espècies marrons de GSB en ecosistemes naturals.