京都大学 / 0048 / 新制・課程博士 / 博士(理学) / 甲第21593号 / 理博第4500号 / 新制||理||1646(附属図書館) / 京都大学大学院理学研究科化学専攻 / (主査)教授 林 重彦, 教授 谷村 吉隆, 教授 寺嶋 正秀 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DGAM

The main focus of the work is the construction of a quantum spacetime emerging from theory.

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<p dir="ltr">Plant and algae-based biofuels offer a compelling green energy solution, but the utility of biological photosynthesis is limited by inefficiency in energy production. Without the connection between the protein structure and optical spectra, it is challenging to modify optical properties for improving energy production. Chlorophyll proteins (CPs) are the primary work-horses of biological photosynthesis that absorb and transfer solar energy to chemically active reaction centers and control the chemical energy storage process. While the CP structures are well-known, predicting their optical and electronic properties remains a serious challenge. There are computational complications for treating large, electronically coupled molecular pigments embedded in a dynamically structured protein environment. In this work, we aim to address some prominent issues with structure-based optical spectra predictions and the limitations in applying the Frenkel exciton model.</p>

ealizaram-se cálculos ab initio e semi-empíricos em 5-hidrotriptofano (5-OH-trp), 7-aza-triptofano (7-aza-trp) e triptofano (trp), determinando as superfícies de energia potencial (SEP) do estado fundamental (EF) e do primeiro estado excitado (1EE), em função dos ângulos X IND. 1 e X IND. 2, medidos nos diedros N-C IND.alfa-C IND.beta-C IND.gama e C IND.alfa-C IND.beta-C IND.gama- C IND.delta2, respectivamente. Esses compostos foram estudados nos estados de protonação zwitteriônico, neutro e aniônico. A SEP do EF na forma zwitteriônica fo obtida pelo método semi-empírico AM1 e utilizada como referência para os cálculos ab initio. Os cálculos de 1EE foram feitos utilizando o método de Interação de Configurações com excitações simples (ICS) e orbitais internos congelados. As energias de transição entre o EF e o 1EE após as otimizações foram obtidas pelo método semi-empírico INDO/S-CIS, permitindo a obtenção dos espectros teóricos de absorção ótica, pelas energias de transição das geometrias otimizadas no EF, e de fluorescência de estado estacionário, pelas energias de transição das geometrias otimizadas no 1EE. Medidas experimentais dos espectros de absorção ótica e de fluorescência de estado estacionário e resolvida no tempo foram realizadas com o 5-OH-trp e o 7-aza-trp em solução tampão fosfato, pH 7,4. Os decaimentos fluorescentes ajustados a mais de uma exponencial foram estudados em termos das populações relativas de Boltzmann nos EF e 1EE. As taxas do decaimento não-radiativo de transferência de elétrons no 1EE foram obtidas pela implementação computacional da Teoria de Marcus e do Método da Expansão de Perturbação Renormalizada (EPR). Além disso, otimizações de estruturas de estados de transição (ET) na SEP dos 1EE foram realizadas pelo Método Sunchronous Transiti-Guided Quasi-Newton e pelo algoritmo de Berny modificado. Para aproximar as condições experimentais, foram ) realizadas simulações por dinâmica molecular (DM) usando o método híbrido QM/MM no EF do 5-OH-trp na forma zwitteriônica, na presença do solvente aquoso representado explicitamente. Os resultados obtidos dos cálculos ab initio foram usados como referência para o início dessas simulações. As conformações visitadas no EF, os espectros teóricos de absorção ótica e as camadas de solvatação do solvente aquoso em torno do reagente são discutidas. / Semi-empirical and ab-initio calculations were performed on 5-hydroxytryptophan (5-OH-trp), 7-aza-tryptophan (7-aza-trp) and tryptophan (trp). The potential energy surface (PES) of the ground state (GS) and the lowest exited state (1ES) was determined as a function X IND. 1 e X IND. 2 angles corresponding to the dihedrals N-C IND.alfa-C IND.beta-C IND.gama e C IND.alfa-C IND.beta-C IND.gama- C IND.delta2, respectively. The compounds were studied in the zwitterionic, neutral and anionic states. The PES of the GS was obtained using the AM1 semi-empirical method and was used as a reference for the ab-initio calculations. The configuration interaction method with single excitations (CIS) was used for the calculations of the 1ES with frozen internal orbitals. After geometry optimization of GS, the transition energies to 1ES were obtained by INDO/S-CIS, giving the theoretical optical absorption spectrum. Similarly, following the geometry optimization of 1ES, the transition energies to GS were determined, giving the fluorescence emission spectrum. Experimental results were obtained for optical absorption and fluorescence spectra of 5-OH-trp and 7-aza-trp in phosphate buffer solution, pH 7.4. The fluorescence decay of the compounds was also examined. Decay profiles fitted to multiexponential function were analyzed in terms of Boltzmann relative populations in the GS and 1ES. The non-radioactive electron transfer rates in the excited state were obtained by computational implementation of the Marcus Theory with renormalized perturbation expansion method (RPE). In this study, optimizations of the transition states in the PES of the ground and lower excited states were performed by the Synchronous Transit-Guided Quasi-Newton method and the Berny algorithm modified. For further comparison with experimental conditions, molecular dynamic simulations for the zwitterionic 5-OH-trp were performed using the hybrid QM/MM method with explicit representation of the aqueous solvent. To start the simulations the results from ab-initio calculations were used. The conformations for the GS, the theoretical absorption spectrum and the solvation layers were compared to the experimental results

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This document is a supplementary text to "An Empirical Power Analysis of Quasi-Exact Tests for the Rasch Model: Measurement Invariance in Small Samples" by Koller, Maier, & Hatzinger (to be published in Methodology, ISSN-L 1614-1881), which covers all technical details regarding the simulation and its results. First, the simulation scenarios and the introduction of differential item functioning (DIF) are described. Next, the different populations' distributions that were investigated are discussed, and finally, actual type-I-error rates and empirical power are displayed for all simulated scenarios. (authors' abstract) / Series: Research Report Series / Department of Statistics and Mathematics

ealizaram-se cálculos ab initio e semi-empíricos em 5-hidrotriptofano (5-OH-trp), 7-aza-triptofano (7-aza-trp) e triptofano (trp), determinando as superfícies de energia potencial (SEP) do estado fundamental (EF) e do primeiro estado excitado (1EE), em função dos ângulos X IND. 1 e X IND. 2, medidos nos diedros N-C IND.alfa-C IND.beta-C IND.gama e C IND.alfa-C IND.beta-C IND.gama- C IND.delta2, respectivamente. Esses compostos foram estudados nos estados de protonação zwitteriônico, neutro e aniônico. A SEP do EF na forma zwitteriônica fo obtida pelo método semi-empírico AM1 e utilizada como referência para os cálculos ab initio. Os cálculos de 1EE foram feitos utilizando o método de Interação de Configurações com excitações simples (ICS) e orbitais internos congelados. As energias de transição entre o EF e o 1EE após as otimizações foram obtidas pelo método semi-empírico INDO/S-CIS, permitindo a obtenção dos espectros teóricos de absorção ótica, pelas energias de transição das geometrias otimizadas no EF, e de fluorescência de estado estacionário, pelas energias de transição das geometrias otimizadas no 1EE. Medidas experimentais dos espectros de absorção ótica e de fluorescência de estado estacionário e resolvida no tempo foram realizadas com o 5-OH-trp e o 7-aza-trp em solução tampão fosfato, pH 7,4. Os decaimentos fluorescentes ajustados a mais de uma exponencial foram estudados em termos das populações relativas de Boltzmann nos EF e 1EE. As taxas do decaimento não-radiativo de transferência de elétrons no 1EE foram obtidas pela implementação computacional da Teoria de Marcus e do Método da Expansão de Perturbação Renormalizada (EPR). Além disso, otimizações de estruturas de estados de transição (ET) na SEP dos 1EE foram realizadas pelo Método Sunchronous Transiti-Guided Quasi-Newton e pelo algoritmo de Berny modificado. Para aproximar as condições experimentais, foram ) realizadas simulações por dinâmica molecular (DM) usando o método híbrido QM/MM no EF do 5-OH-trp na forma zwitteriônica, na presença do solvente aquoso representado explicitamente. Os resultados obtidos dos cálculos ab initio foram usados como referência para o início dessas simulações. As conformações visitadas no EF, os espectros teóricos de absorção ótica e as camadas de solvatação do solvente aquoso em torno do reagente são discutidas. / Semi-empirical and ab-initio calculations were performed on 5-hydroxytryptophan (5-OH-trp), 7-aza-tryptophan (7-aza-trp) and tryptophan (trp). The potential energy surface (PES) of the ground state (GS) and the lowest exited state (1ES) was determined as a function X IND. 1 e X IND. 2 angles corresponding to the dihedrals N-C IND.alfa-C IND.beta-C IND.gama e C IND.alfa-C IND.beta-C IND.gama- C IND.delta2, respectively. The compounds were studied in the zwitterionic, neutral and anionic states. The PES of the GS was obtained using the AM1 semi-empirical method and was used as a reference for the ab-initio calculations. The configuration interaction method with single excitations (CIS) was used for the calculations of the 1ES with frozen internal orbitals. After geometry optimization of GS, the transition energies to 1ES were obtained by INDO/S-CIS, giving the theoretical optical absorption spectrum. Similarly, following the geometry optimization of 1ES, the transition energies to GS were determined, giving the fluorescence emission spectrum. Experimental results were obtained for optical absorption and fluorescence spectra of 5-OH-trp and 7-aza-trp in phosphate buffer solution, pH 7.4. The fluorescence decay of the compounds was also examined. Decay profiles fitted to multiexponential function were analyzed in terms of Boltzmann relative populations in the GS and 1ES. The non-radioactive electron transfer rates in the excited state were obtained by computational implementation of the Marcus Theory with renormalized perturbation expansion method (RPE). In this study, optimizations of the transition states in the PES of the ground and lower excited states were performed by the Synchronous Transit-Guided Quasi-Newton method and the Berny algorithm modified. For further comparison with experimental conditions, molecular dynamic simulations for the zwitterionic 5-OH-trp were performed using the hybrid QM/MM method with explicit representation of the aqueous solvent. To start the simulations the results from ab-initio calculations were used. The conformations for the GS, the theoretical absorption spectrum and the solvation layers were compared to the experimental results