Spelling suggestions: "subject:"kuantum chemistry."" "subject:"auantum chemistry.""
131 |
Quantum Chemical Modeling of Dye-Sensitized Titanium Dioxide : Ruthenium Polypyridyl and Perylene Dyes, TiO2 Nanoparticles, and Their InterfacesLundqvist, Maria J. January 2006 (has links)
Quantum chemical calculations have been used to model dye-sensitized nanostructured titanium dioxide systems that can be used in solar cells for solar energy to electricity conversion. Structural, electronic and spectral properties of isolated dyes and both bare and dye-sensitized TiO2 have been calculated with density functional theory, providing detailed information about both the separate parts and the dye-TiO2 interface. The connection between the geometry, the ligand field splitting and the lifetime of the triplet metal-to-ligand charge transfer (MLCT) excited state has been explored for a series of ruthenium polypyridyl dyes. Moreover, the relative energetics of MLCT and metal centered triplet excited states have been studied for a number of such systems. It was found that small alterations of the polypyridyl ligands can result in significant changes in ligand field splitting and in the energetics of the triplet states. Attachment of the dyes to the TiO2 surface is achieved via anchor and spacer groups. The influence of such groups on various properties of the dye and their ability to act as mediators of photo-induced surface electron transfer has been studied. Delocalization of the lowest unoccupied dye orbital onto the spacer and/or anchor group indicates that certain unsaturated groups can mediate electron transfer. With a combination of methods that enables efficient computations and a scheme for construction of metal oxide clusters, chemical models for bare TiO2 nanocrystals in the 1-2 nm size range have been developed. The electronic structures show well-developed band structures with essentially no electronic band gap defect states. Atomistic models of the interface between TiO2 nanocrystals and Ru(II)-bis-terpyridine dyes, the so-called N3 dye as well as perylene dyes are reported. Electronic coupling strengths, which provide estimates for the electron injection times, are extracted from the interfacial electronic structure and the lowest electronic excitations are calculated.
|
132 |
Computation of Molecular Properties at the Ab Initio LimitTemelso, Berhane 16 January 2007 (has links)
The accuracy of a quantum chemical calculation inherently depends on the ability to account for the completeness of the one- and n-particle spaces. The size of the basis set used can be systematically increased until it reaches the complete one-particle basis set limit (CBS) while the n-particle space approaches its exact full configuration interaction (FCI) limit by following a hierarchy of electron correlation methods developed over the last seventy years. If extremely high accuracy is desired, properly correcting for very small effects such as those resulting the Born-Oppenheimer approximation and the neglect of relativistic effects becomes indispensable. For a series of chemically interesting and challenging systems, we identify the limits of conventional approaches and use state-of-the-art quantum chemical methods along with large basis sets to get the “right answer for the right reasons.” First, we quantify the importance of small effects that are ignored in conventional quantum chemical calculations and manage to achieve spectroscopic accuracy (agreement of 1 cm−1 or less with experimental harmonic vibrational frequencies) for BH, CH+ and NH. We then definitively resolve the global minimum structure for Li₆ , Li₆⁺ , and Li₆- using high accuracy calculations of the binding energies, ionization potentials, electron affinities and vertical excitation spectra for the competing isomers. The same rigorous approach is used to study a series of hydrogen transfer reactions and validate the necessary parameters for the hydrogen abstraction and donation steps in the mechanosynthesis of diamondoids. Finally, in an effort to overcome the steep computational scaling of most high-level methods, a new hybrid methodology which scales as O(N⁵) but performs comparably to O(N⁶) methods is benchmarked for its performance in the equilibrium and dissociation regimes.
|
133 |
Green PropellantsRahm, Martin January 2010 (has links)
To enable future environmentally friendly access to space by means of solid rocket propulsion a viable replacement to the hazardous ammonium perchlorate oxidizer is needed. Ammonium dinitramide (ADN) is one of few such compounds currently known. Unfortunately compatibility issues with many polymer binder systems and unexplained solid-state behavior have thus far hampered the development of ADN-based propellants. Chapters one, two and three offer a general introduction to the thesis, and into relevant aspects of quantum chemistry and polymer chemistry. Chapter four of this thesis presents extensive quantum chemical and spectroscopic studies that explain much of ADN’s anomalous reactivity, solid-state behavior and thermal stability. Polarization of surface dinitramide anions has been identified as the main reason for the decreased stability of solid ADN, and theoretical models have been developed to explain and predict the solid-state stability of general dinitramide salts. Experimental decomposition characteristics for ADN, such as activation energy and decomposition products, have been explained for different physical conditions. The reactivity of ADN towards many chemical groups is explained by ammonium-mediated conjugate addition reactions. It is predicted that ADN can be stabilized by changing the surface chemistry with additives, for example by using hydrogen bond donors, and by trapping radical intermediates using suitable amine-functionalities. Chapter five presents several conceptual green energetic materials (GEMs), including different pentazolate derivatives, which have been subjected to thorough theoretical studies. One of these, trinitramide (TNA), has been synthesized and characterized by vibrational and nuclear magnetic resonance spectroscopy. Finally, chapter six covers the synthesis of several polymeric materials based on polyoxetanes, which have been tested for compatibility with ADN. Successful formation of polymer matrices based on the ADN-compatible polyglycidyl azide polymer (GAP) has been demonstrated using a novel type of macromolecular curing agent. In light of these results further work towards ADN-propellants is strongly encouraged. / QC 20101103
|
134 |
Modélisation de la chimie de la combustion des alcanes et des alcènes à basse température par des approches de chimie quantique / Modeling of combustion chemistry of alkanes and alkenes at low temperature by quantum chemical approachesCord, Maximilien 13 December 2012 (has links)
Les mécanismes chimiques détaillés de combustion des carburants à basse température font intervenir un nombre important d'espèces et de réactions. Les logiciels de génération automatique permettent de faire face à cette complexité. Ces logiciels font appel à des corrélations permettant de prédire les propriétés thermodynamiques (enthalpies de formation, entropies et capacités calorifiques) et cinétiques (constantes de vitesse) associées aux espèces et aux réactions. Ces corrélations reposent cependant, généralement, sur un nombre limité de données de référence. Dans ce travail de thèse, nous avons utilisé une méthode faisant appel à la chimie quantique pour développer de nouvelles corrélations pour le logiciel de génération automatique EXGAS. En ce qui concerne les données thermodynamiques, des groupes de Benson associés aux fonctions hydroxyle et hydroperoxyle ont été évalués, ainsi que des énergies de liaison C-H, et O-H de fonctions hydroxyle et hydroperoxyle. En ce qui concerne les données cinétiques, nous nous sommes plus particulièrement intéressés aux réactions d'isomérisation des radicaux alkylperoxyles et hydroxyalkylperoxyles, ainsi qu'aux réactions de formation d'éthers cycliques. Nous avons également étudié l'impact de certaines règles de globalisation et introduit de nouvelles réactions pour rendre compte de la formation de produits de combustion jusqu'ici négligés ou sommairement prédits par les modèles. Les résultats obtenus ont été introduits dans des mécanismes chimiques détaillés générés par EXGAS. Ces mécanismes ont servi de base pour réaliser des simulations de la combustion du propane et du n-butane à basse température. Les résultats de ces simulations ont été comparés à des résultats expérimentaux récents afin de valider les calculs effectués. Les résultats des simulations ont montré que la prise en compte des nouvelles corrélations ainsi que la modification des règles de globalisation dans les mécanismes permettaient d'améliorer la prédiction de certains polluants mineurs pouvant avoir un impact sanitaire et environnemental majeur / Detailed chemical kinetic models for the low-temperature combustion of fuels involve a large number of species and reactions. Automatic generation of kinetic mechanisms is a powerful tool to deal with this complexity. These softwares are based on correlations that predict thermodynamic (enthalpies of formation, entropies and heat capacities) and kinetic (rate constants) properties associated with species and reactions. However, these correlations are generally based on a limited number of reference data. In this work, we used a method involving quantum chemistry to develop new correlations for EXGAS, a software for the automatic generation of kinetic mechanisms. For thermodynamic data, new Benson groups associated with hydroxyl and hydroperoxyl functions were evaluated. Bond dissociation energies of C-H bonds and O-H bonds of these groups were also evaluated. For the kinetic data, we focused our study on the isomerization reactions of alkylperoxyl and hydroxyalkylperoxyl radicals, and on the reactions of formation of cyclic ethers. We also studied the impact of some rules of globalization and introduced new reactions to account for the formation of minor combustion products usualy neglected or imperfectly predicted by the current models. The results obtained have been introduced into detailed chemical mechanisms generated by EXGAS. These mechanisms were used to simulate the combustion of propane and n-butane at low temperatures. The results of these simulations were compared with recent experimental results to validate the calculations. The simulations showed that taking into account the new correlations and the modifications of the rules of globalization in the mechanisms improved the prediction of some minor pollutants that can have major health and environmental impacts
|
135 |
Paralelní implementace multireferenčních coupled cluster metod a výpočet na velkých systémech / Parallel Implementation of Multireference Coupled Clusters Methods and Calculations on Large SystemsBrabec, Jiří January 2012 (has links)
Firstly, we have developed a Tensor Contraction Engine-based implementation of the BW-MRCCSD approach. The scalability tests have been performed across thousand of cores. We have further developed a novel two-level parallel algorithm for Hilbert-space MRCC methods which uses the processor groups. In this approach, references are distributed among processor groups (reference-level parallelism) and tasks of each reference are distributed inside of a given processor group (task-level parallelism). We have shown that our implementation scales across 24000 cores. The usability of our code was demonstrated on larger systems (dodecane, polycarbenes and naphthyne isomers). Finally, we present novel universal state- selective (USS) corrections to the state-specific MRCC methods. The USS-corrected MRCC results were compared with the full configuration interaction (FCI) results.
|
136 |
Experimentos mentais no ensino de ciências : implementação de uma sequência didática /Kiouranis, Neide Maria Michellan. January 2009 (has links)
Resumo: Esta pesquisa é fruto do desenvolvimento de uma sequência didática sobre o comportamento das entidades físicas: partícula, onde e partícula-onda no Experimento da Supla Fenda, numa versão adaptada de Feynman e colaboradores e foi desenvolvida com estudantes de terceira série do ensino superior do curso de Química, disciplina Química Quântica, de uma universidade pública estadual. O objetivo geral do estudo foi discutir os fundamentos e práticas de experimentos mentais, tendo como parâmetro a utilização de diversas alternativas didáticas e seus desdobramentos para o ensino nas disciplinas científicas. A pesquisa de cunho qualitativo ancora-se nos fundamentos dos experimentos mentais e tem por base as teorias que visam promover a comunicação verbal e escrita dos conhecimentos científicos. O problema de pesquisa originou-se das dificuldades que os estudantes demonstravam em sala de aula para explicar e debater suas idéias, de maneira significativa, inteligível e dinâmica, quando estas exigiam deles o domínio da verbalização de conhecimentos científicos sobre o experimento da dupla fenda. Para interpretação e análise dos dados, utilizou-se a vertente interpretativa por meio de instrumentos e técnicas que permitem, principalmente, a descrição e interpretação de fatos e fenômenos, a recuperação de sentidos, tendo como base a investigação interpretativa do conjunto de materiais empíricos que se transformaram em textos. Os resultados revelam que os procedimentos didáticos utilizados são relevantes por possibilitarem a problematização, a discussão, o uso da imaginação e da linguagem verbal e escrita, pouco usuais em contextos de aulas de Química Quântica. Com relação aos textos, tanto aqueles transcritos das discussões e das falas dos estudantes quanto os que foram produzidos durante o desenvolvimento da pesquisa, por solicitação do professor... (Resumo completo, clicar acesso eletrônico abaixo) / Abstract: This research is the result of the development of a didactic sequence on the behavior of physical entities: particle, wave and wave-particle in the Double-Slit Experiment, in an adapted version from Feynman and assistants, which was developed with university students from the third grade of the Chemistry course, in the discipline of Quantum Chemistry, at a Brazilian public state university. The study aimed to discuss the fundaments and practices of thought experiments by using several didactic alternatives and its unfoldings to the teaching of scientific disciplines. The research, of qualitative basis, is anchored to the fundaments of thought experiments grounded on theories aiming to promote verbal and written communication of scientific knowledge. The research problem focuses on the difficulties that the students show in the classroom in order to explain and discuss their ideas when theses require that they master verbalization of scientific knowledge on the double-slit experiment in a meaningful, significant and dynamic manner. To the purpose of data interpretation and analysis, we used the interpretative perspective by means of the methodological and theoretical. Results revealed that the didactic procedures used are relevant since they allow problematization, discussion, the use of imagination and of verbal and written language, quite rare in classroom contexts of Quantum Chemistry. Regarding the texts, both the ones transcribed during the discussions and the students' speeches and those produced during the development of the research, required by the teacher, deserve attention. The text productions were found considerably reduced, fragmented, lacking progression and continuity of ideas, and also lacking the interconnected sequence of the parts that constitute an articulated whole. By means of discourse analysis, we detected loss of the line of unity that assures its interpretability... (Complete abstract click electronic access below) / Orientador: Aguinaldo Robinson de Souza / Coorientador: Ourides Santin Filho / Banca: Luiz Carlos de Menezes / Banca: Luiz Henrique Ferreira / Banca: João José Caluzi / Banca: Eduardo Adolfo Terrazzan / Doutor
|
137 |
Estudo teórico de compostos de selênio: aspectos estruturais, energéticos, espectroscópicos e cinéticos / Theoretical study of selenium compounds: structural, energetics, spectroscopic, and kinetics aspectsHermoso, Willian 18 April 2013 (has links)
A química do selênio é um assunto de crescente interesse devido a sua presença em diversos ambientes químicos, em particular, na atmosfera terrestre. A ausência de estudos sobre espécies relativamente simples contendo 2-4 átomos motivou este projeto, que se concentrou na investigação teórica rigorosa de uma serie de espécies moleculares: SeF, SeCl, SeBr, HSeF, HFSe, HSeCl, HClSe, HSeBr, HBrSe e de vários isômeros na superfície de energia potencial 1[H, S, Se, Cl]. Propriedades espectroscópicas de um conjunto de estados eletrônicos e o calor de formação das moléculas SeF, SeCl e SeBr foram determinados. Juntamente com os novos resultados desta investigação, sugerimos uma revisão e correção de alguns dados teóricos e experimentais da literatura. Aspectos energéticos, estruturais e espectroscópicos associados aos pontos estacionários nas superfícies de energia potencial singleto [H, Se, X], X = F, Cl e Br, e [H, S, Se, Cl] também foram caracterizados, assim como determinados os calores de formação dos isômeros mais estáveis. Barreiras energéticas para os vários processos de isomerização foram estimadas bem como o gasto energético envolvido nas diferentes possibilidades de dissociação dos isômeros mais estáveis. No caso dos sistemas triatômicos ainda estimamos as constantes de velocidade para as reações de isomerizações direta e reversa. Nesse contexto, esperamos que este trabalho possa servir como uma referência para estudos teóricos e experimentais futuros desses sistemas e/ou de outros de complexidade idêntica. / The chemistry of selenium is a subject of increasing interest due to its presence in many chemical enviroments, specially in the Earth\'s atmosphere. The lack of studies of relatively simple species containing 2-4 atoms has motivated this project which was focused on a rigorous theoretical investigation of a series of molecular especies: SeF, SeCl, SeBr, HSeF, HFSe, HSeCl, HClSe, HSeBr, HBrSe, and the isomers on the 1[H, S, Se, Cl] potential energy surface. Spectroscopic properties of a set of electronic states and the heat of formation of SeF, SeCl, and SeBr were determined. Along with the new results from this investigation, we showed that some theoretical and experimental data reported in the literature be revised and corrected. Energetic, structural, and spectroscopic aspects associated with the stationary points on the singlet potential energy surfaces [H, Se, X], X = F, Cl e Br, and [H, S, Se, Cl] were also characterized, and the heats of formation of the most stable isomers evaluated. Energetic barriers for the various processes of isomerization were estimated, as well as the energy involved in the dierent possibilities of dissociation of the most stable isomers. In the case of triatomic systems, we still estimated the rate constants for the direct and reverse reactions. In this context, we expect that this work should serve as reference in future theoretical and experimental studies on these systems and/or others of similar complexity
|
138 |
Uso de parâmetros teóricos de solutos em relações lineares de energia de solvatação / The use of theoretical parameters of solutes in linear relations of solvation energyDourado, Augusto Gouvêa 03 May 2002 (has links)
Parâmetros teóricos obtidos pela otimização de geometria da estrutura molecular em fase gasosa com o método quântico semi-empírico PM3, foram usados para correlacionar constantes de partição (log Poct; log Pc16 e log Pcic) para uma série de 700 solutos, considerando como referência as LSER obtidas com os parâmetros experimentais dos solutos: acidez (Σα2), basicidade (Σβ2), e dipolaridade/polarizabilidade (π2) de ligação de hidrogênio; refração molar de excesso (R2) e volume característico (Vx). Os parâmetros avaliados foram: as energias HOMO e LUMO; o momento de dipolo elétrico e as cargas atômicas parciais do hidrogênio mais positivo e do átomo mais negativo (classe IV - modelo CM1 ); e o índice de polarizabilidade como proposto por Famini e col.. Estes parâmetros teóricos, juntamente com Vx, são adequadas para serem utilizados em LSER na correlação dos valores de log P. Para a maioria dos solutos considerados, as quantidades eletrostáticas q+ , Ιq-Ι e µ descrevem adequadamente os termos de acidez, basicidade e dipolaridade de ligação de hidrogênio, o que não ocorre para solutos com mais de um polo positivo ou negativo relevante, como hidroquinona, nem para solutos como 2-nitrofenol com capacidade de formar ligação de hidrogênio intramolecular. As LSER para log Poct; log Pc16 e log Pcic com estes parâmetros teóricos são quimicamente consistentes. Cargas atômicas parciais, largamente usadas qualitativamente para descrever a reatividade de compostos e de grupos funcionais, podem ser usadas como descritor quantitativo de interações moleculares em estudos de solubilização, o primeiro estágio, que governa muitas reações químicas. / Semiempirical quantum theoretical parameters, obtained from PM3 geometry optimization method in gas-phase for a wide range of 700 solutes, were used to correlate experimental partition coeficients (log Poct; log Pc16 and log Pcyc), bearing as reference the LSER with experimentally derived parameters: Hydrogen bond acidity (Σα2), basicity (Σβ2) , and dipolarity/polarizability (π2); excess molar refraction and characteristic volume (Vx). Theoretical quantities tested includes: HOMO and LUMO energies; class IV, CM1 model atomic partial charges (q+ and Ιq-Ι) and dipole moment (µ); Famini\'s polarizability index (πF); and Vx. Those quantum derived quantities can successfully be used, jointly with Vx, to correlate log P values in the LSER approach. For most of the considered solutes, electrostatic quantities q+, Ιq-Ι and µ describes fairly well Hydrogen bond acidity, basicity and dipolarity terms, but do not describe hydrogen bond terms for solutes with more than one relevant positive or negative centers, like hydroquinone, nor solutes like 2-nitrophenol wich forms intramolecular hydrogen bond when in condensed phases. LSER with those theoretical parameters for log Poct, log Pc16 and log Pcic are chemically consistent. Atomic partial charges, widelly used to describe compounds and functional group reactivity in a qualitative way, can be used as a quantitative descriptor of molecular interactions in solubility, the first step wich drive a lot of chemical reactions.
|
139 |
Espaço do momento: modelos da química quântica / Momentum Space: Quantum Chemistry ModelsHermoso, Willian 17 September 2008 (has links)
Em um curso tradicional de Química Quântica, os modelos estudados para ilustrar algumas das ferramentas da Mecânica Quântica relevantes para a compreensão da estrutura da matéria no nível atômico e molecular são apresentados no que se convencionou chamar, numa apresentação mais formal, de representação da posição. Nesta representação, o estado do sistema é descrito por uma função de onda dependente das posições das partículas que o constituem. Isso leva o estudante de química a uma concepção distorcida de que na natureza os estados dos sistemas devem ser obrigatoriamente descritos em termos das posições de suas partículas. Aqui mostramos que essa não é a única forma de abordar quanticamente a descrição de um sistema físico. Uma outra forma é servir-se da representação do momento, onde a função de estado depende do momento de cada uma das partículas. Existem dois caminhos para se obter as funções de estado na representação do momento. Uma delas é fazer-se a transformada de Fourier das funções de estado na representação da posição, e a outra é buscar resolver a equação de Schrödinger diretamente na representação do momento. Neste trabalho, foram discutidas essas duas abordagens para os modelos mais comuns estudados num curso de Química Quântica, sendo eles: a partícula na caixa, o oscilador harmônico, o átomo de hidrogênio, o átomo de hélio, o íon-molécula de hidrogênio (H2 +) e a molécula de hidrogênio (H2). Buscou-se mostrar uma perspectiva diferente na descrição desses sistemas bem como uma abordagem matemática distinta da usual e, também, as dificuldades, principalmente matemáticas, de sua aplicação e ensino num curso de Química Quântica. / In a conventional course in Quantum Chemistry, the models usually presented to illustrate the use of some quantum mechanical tools that are relevant for a comprehension of the structure of matter at the atomic and molecular levels are approached in a way that has been termed, in a more formal presentation, as position representation. In this representation, the state of a system is described by a wavefunction that is dependent on the positions of all particles that define the system. As a consequence of this presentation, chemistry students assimilate a distorted conception that in nature the state of a system must necessarily be described in terms of particles positions. Here we show that this is not the only way to approach quantum mechanically the description of a physical system. In an alternative way, known as momentum representation, the state function is expressed in a way that it is explicitly dependent on the momentum of each particle. There are two ways to obtain wavefunctions in the momentum representation. In of them, use is made of a Fourier transform of the wavefunctions in the position representation, and in the other one, an attempt is made to solve Schroedinger´s equation directly in the momentum representation. In this work, we have discussed these two approaches by examining the most common models studied in a Quantum Chemistry course, namely: the particle in a box, the harmonic oscillator, the hydrogen atom, the helium atom, the hydrogen molecular ion, and the hydrogen molecule. We have tried to show a different physical perspective in the description of these systems as well as a distinct mathematical approach than the usual one, and also the difficulties, mainly mathematical, of applying and teaching this representation in a Quantum Chemistry course.
|
140 |
Estudo teórico das propriedades óticas e magnéticas de derivados e intermediários da reação de oxidação do triptofano / Theoretical study of the optical and magnetic properties of the derivates and intermediates from the oxidation reaction of tryptophanAraújo, George Barbosa 11 March 2013 (has links)
O triptofano é um aminoácido essencial, sendo o precursor do neurotransmissor serotonina. Esse composto é suscetível a oxidação por ação do oxigênio singleto, o que atrai interesse acadêmico devido a sua associação com doenças como a catarata. Nesse sentido, o presente trabalho se dedicou a investigar as propriedades estruturais e espectroscópicas de quatro moléculas envolvidas nessa oxidação: triptofano, triptofano hidroperóxido, tautômero anelar do triptofano hidroperóxido (WOOH) e álcool (WOH) reduzido dessa última molécula, através da aplicação de técnicas de Química Quântica: Teoria de Pertubação e Teoria do Funcional de Densidade Dependente do Tempo, e de simulação computacional: Método de Monte Carlo e Dinâmica Molecular. Foram analisadas as formas estruturais preferenciais do triptofano (neutra ou zwiteriônica) dependendo do meio (vácuo ou água), investigou-se a formação de ligações de hidrogênio e se obteve teoricamente os espectros UV-vis e de Ressonância Magnética Nuclear para esse aminoácido. Esses dois espectros também foram calculados para as moléculas de WOOH e WOH. Para o triptofano hidroperóxido, que é uma molécula postulada, se avaliou a plausibilidade de sua existência, assim como uma possível razão para sua não observação experimental. / Tryptophan is an essential amino acid, being the precursor of neurotransmitter Serotonin. This compound is susceptible to oxidation by singlet molecular oxygen, which has attracted academic interest due to its association with disorders like cataract. In this sense, this work was dedicated to investigate the structural and spectroscopic properties of four molecules involved in this oxidation: tryptophan, tryptophan hydroperoxide, ring chain tautomer of tryptophan hydroperoxide (WOOH) and an alcohol (WOH) reduced from this latter molecule, by means of Quantum Chemistry techniques: Pertubation Theory and Time- Dependent Density Functional Theory, as well as computer simulation: Monte Carlo method and Molecular Dynamics. The preferential conformations of tryptophan (neutral or zwitterionic) depending upon the medium (vacuum or water) were analyzed, in addition it was investigated the formation of hydrogen bonds and obtained the theoretical UV-vis and Nuclear Magnetic Ressonance spectra of this amino acid. These spectra were also calculated for the WOOH and WOH molecules. Regarding tryptophan hydroperoxide, a postulated molecule, it was evaluated the plausibility of its existence, as well as the reason for its non-experimental observation.
|
Page generated in 0.0895 seconds