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Fatigue and electrical degradation including low voltage breakdown of ferroelectric lead zirconate titanate Pb(Zr_xTi_{1 - x})O₃ (i.e. PZT) thin films are the major limitations for commercial memory applications of these films. It is noted that the presence of oxygen vacancies and their entrapment at the electrode-ferroelectric interfaces are the sources of the degradation phenomena. Attempts were made in this study to solve these problems: 1) by minimizing oxygen vacancy entrapment at the interfaces by employing RuO₂ electrodes; 2) by lowering the oxygen vacancy concentration in PZT films using donor doping (e.g. La³⁺ at Pb²⁺ site and Nb⁵⁺ at Ti/Zr⁴⁺ site). For this study, PZT thin films were prepared by a sol-gel method and deposited on both Pt/Ti/SiO₂/Si and RuO₂/SiO₂/Si substrates. The microstructure and electrical properties, such as hysteresis properties, fatigue, leakage current, time dependent dielectric breakdown (TDDB) and retention, were studied with regard to the Zr/Ti ratio, the excess lead, the annealing temperature, the electrode material and the doping amount. Furthermore, the pyrochlore to perovskite phase transformation of PZT on RuO₂ electrodes was also investigated. It was shown that PZT films (Zr/Ti=50/50) with 10 at.% excess lead annealed at 650°C for 30 min possessed the best electrical properties for ferroelectric memory application. In confirmation with earlier theoretical and experimental results, no polarization loss was observed up to 10¹¹ switching cycles for the PZT films deposited on RuO₂ electrodes. However, the low Schottky barrier at the interfaces between RuO₂ and PZT films resulted in a higher leakage current at a high electric fields. Donor doping of PZT films decreased carrier concentrations in PZT films, and thus, decreased the leakage current to acceptable limits. In addition, it was also noted that the pyrochlore to perovskite phase transformation of PZT on RuO₂ was similar to that of PZT on Pt electrodes. It can be concluded that the combination of RuO₂ electrodes and donor doping produced PZT films with high fatigue endurance and low leakage currents which are suitable for memory applications. / Master of Science

The modified electron gas (MEG) model has been used to generate ionic model CaCO₃ crystals in the calcite, aragonite, diopside, and perovskite structure types. For calcite and aragonite, the model predicts shorter CO bonds and larger bulk moduli than observed. Modeling of the thermochemistry of CaCO₃ does not reproduce the observed thermochemistry even qualitatively. The model predicts that the hypothetical diopside structure type is the most stable form CaCO₃ among the four structure types. These discrepancies may illustrate the significance of CO bond covalency in determining the physico-chemical properties of CaCO₃. The MEG model has also been used to generate model alkali halide crystals in the sphalerite, rocksalt, and CsCl types in an exploration of the reliability of the radius ratio rule. The MEG model predicts the correct cation coordination numbers for 13 of 16 alkali halides, whereas the radius ratio rule predicts the correct coordination numbers in at most 9 of the same 16 alkali halides. Analyses of the model crystal structures suggests that energy minimization is more important than packing efficiency in determining the most stable structures for ionic crystals. The molecular orbital (MO) model has been used to determine minimum-energy geometries and electron density distributions in sulfate hydroxyacid molecules. These molecules have been used to model the bonding in sulfate crystals. SO bond lengths calculated for H₂SO₄ and H₂S₂O₇ correlate linearly with fractional s-characters of the bonds, as in sulfate crystals. With increasing S coordination number, the bonded radii of S and O, as determined from electron density maps, increase at the same rate, contrary to the common assumption of constant anion H₂S₂O₇ shows a relatively large change in energy as its SOS angle is deformed from its minimum-energy value (125.6°) to l80°, in conformity with the small variation among observed SOS angles. In contrast, SiOSi and POP angles show relatively wide variations in crystals and molecules. This suggests that polysulfates may be less amenable than polysilicates or polyphosphates to polymorphism or glass formation. Other properties of H₂SO₄ are also calculated and compared with experimental observations and previous calculations. / Ph. D.

Thesis: Ph. D., Massachusetts Institute of Technology, Department of Materials Science and Engineering, 1975 / Vita. / Includes bibliographical references. / Ph. D. / Ph. D. Massachusetts Institute of Technology, Department of Materials Science and Engineering

Extended Hückel methods are known to be a useful tool in understanding surface phenomena. Important quantities about atoms and chemical bonds can be obtained from this computationally simple method, although caution must be exercised in interpreting the results. Application of Extended Hückel calculations to large metal clusters reveals the role of d orbitals in solids. Basic ideas of constructing model compounds have been developed. Several model systems for surface chemisorption processes are constructed in order to understand the surface catalyzed oxidative degradation of polyperfluoroethers. The activation of oxygen molecules can be explained. The Lewis acid character of the iron fluoride surface can be predicted. Based on these results, mechanisms of the degradation processes are discussed.

A busca por materiais catalíticos fora dos metais de transição foi o objetivo dessa tese. Principalmente se considerarmos a escassez dos metais nobres como matéria prima para a catálise de moléculas diatômicas, em especial o oxigênio e o óxido de nitrogênio. A primeira molécula está diretamente relacionada com à obtenção de energia em células a combustível, especificamente, o ânodo das células a combustível. A segunda molécula está relacionada diretamente a eletroredução de íons nitrato, ou seja, na formação de uma molécula diatômica muito estável quimicamente e muito tóxica. Por isso foi utilizada a DFT (Teoria do Funcional da Densidade) para a realização de diversas simulações a 298,15K e 1 atm, com moléculas no estado gasoso de porfirinatos de silício (IV) reagindo com O2 e NO para a confirmação catalítica dos porfirinatos. Para isso foram utilizados os conjuntos de base 3-21G, 6-31G, 6-31G* e 6-31G(d), que mostraram tendências catalíticas dos porfirinatos estudados. Assim, por exemplo, pode-se evidenciar a tendência de hidrólise do porfirinato de silício (IV) através dos cálculos, já observado e demonstrado através de medidas experimentais. Porfirinatos de silício (IV) e octaetilporfirinatos de silício (IV) mostram a mesma tendência de formação de ligação química com O2 , forma de \"ponte\", diferenciando nos valores absolutos de DG e DH, e na ligação do O2 com o anel porfirínico. Com porfirinato, o oxigênio ligou-se com o silício e com o carbono meso; já com o octaetilporfirinato, o O2 ligou-se com o silício e com o nitrogênio do anel, promovendo uma ruptura de ligação entre o silício (presente no centro das porfirinas) e o nitrogênio do anel. A mesma tendência foi observada quando foram adicionadas hidroxilas nos carbonos meso do anel porfirínico, demonstrando que a presença de grupos doadores de elétrons nos carbonos meso não fortalece as ligações silício e nitrogênio presentes no sistema, e um átomo de cloro como contra-íon também não influencia no resultado final da reação. Quando reagimos o sistema com hidrogênio, observa-se a formação de duas moléculas de água fracamente ligadas ao sistema. Octaetilporfirinato de silício (IV) reagiu apenas com duas moléculas de NO, sendo observado a formação de uma estrutura pentagonal sobre o silício, rompendo-se duas ligações entre silício e nitrogênio do anel porfirínico. Quando colocado hidroxilas e cloro no sistema octaetilporfirinato de silício (IV), observou-se a reação apenas com uma molécula de NO, ligada ao nitrogênio do anel, sem a formação de NO+, comum em sistemas porfirínicos cujo átomo central é ferro, por exemplo. Também observou-se a tendência de formação do íon amônio e água, quando é colocado no sistema moléculas de hidrogênio para reagir com o NO preso ao anel porfirínico. Na prática, tanto os porfirinatos de silício (IV) quanto os octaetilporfirinatos de silício (IV) possuem contra-ions, sendo o mais comum o cloreto. Por isso, o estudo da labilidade do íon cloreto com as moléculas estudadas foi de fundamental importância na determinação da tendência desses sistemas. Assim pode-se inferir, por exemplo, que o cloreto é substituído pela molécula de oxigênio numa reação entre esses dois reagentes. Para finalizar, CO e H2 não reagiram com os porfirinatos de silício (IV), mostrando uma forte tendência à repulsão, devido à diferença de fase nos orbitais atômicos. / The search for catalytic materials out of the transition metals was the objective of this thesis. Mainly if we consider the scarcity of noble metals as raw materials for the catalysis of diatomic molecules, especially oxygen and nitrogen oxides. The first molecule is directly related to the getting of energy in fuel cells, specifically, the anode of the fuel cells. The second molecule is related directly to the electroreduction of nitrate ions, in other words, in the formation of a very stable diatomic molecule and also very poisonous. Therefore, DFT was used (Density Functional Theory) for the accomplishment of several simulations, at 298,15K and 1 atm, with molecules in the gaseous state of silicon porphyrinatos (IV) reacting with O2 and NO for their catalytic confirmation. For that, the bases 3-21G, 6-31G, 6-31G * and 6-31G(d) were used to study the catalytic tendencies of the porphyrinatos here studied. For instance, the tendency of hydrolysis of silicon porphyrinato (IV) can be evidenced through theoretical calculations, as already observed and demonstrated through experimental works. Silicon porphyrinatos (IV) and silicon octaethilporphyirinatos (IV) showed the same tendency of forming a chemical bond with O2. They form a \"bridge\" changing the absolute values for DG and DH, and form a O2 bond with the porphyrinic ring. With porphyrinatos, the oxygen binds to silicon and to meso carbon; but with octaethilporphyirinato, the O2 binds to silicon and to the nitrogen of the ring, promoting a rupture between the silicon (present in the center of the porphyrins) and the nitrogen of the ring. The same tendency was observed when hydroxyls were added in the meso carbons of the porphyrinic ring showing that the presence of donor groups of electrons in the meso carbons does not strengthen the silicon and nitrogen bonds presented in the system, and a chlorine counter-ion does not influence the final result of the reaction as well. When we reacted the system with hydrogen, the formation of two weak molecules of water bound to the system is observed. Silicon octaethilporphyrinato (IV) just reacted with two NO molecules, and was observed the formation of a pentagonal structure on silicon breaking two bonds between silicon and nitrogen of the porphyrinic ring. When one puts hydroxyls and chlorine in the system silicon octaethilporphyrinato (IV), the reaction was only observed with a molecule of NO bound to the nitrogen of the ring without the formation of NO+ common in porphyrinic systems where the central atom is iron, for example. Also, it was observed the tendency of formation of the ammonium ion and water when we put in the system molecules of hydrogen to react with the NO linked to the porphyrin ring. In practice, as the silicon porphyrinatos (IV) as the silicon octaethilporphyrinatos (IV) possess counter-ions, where the most common is with chloride. Therefore, the study of the lability of the ion chloride with the studied molecules was of fundamental importance in the determination of the tendency of these molecular systems. From there, for instance, we could observe that the chloride is substituted by the oxygen molecule in a reaction between the two reactants. To conclude, CO and H2 did not react with the silicon porphyrinatos (IV) showing a strong tendency to repulsion due to the phase difference in the atomic orbitals.

Yeung Man Yi = 多體量子系統問題 / 楊曼儀. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves [247-249]). / Text in English; abstracts in English and Chinese. / Yeung Man Yi = Duo ti liang zi xi tong wen ti / Yang Manyi. / Abstract --- p.i / Acknowledgment --- p.iii / Chapter I --- Computational Quantum Mechanics and Its Applications / 電算量子力學及其應用 --- p.1 / Chapter 1 --- Theoretical Methodology of Electronic Structures: Ab Initio Molecular Orbital Theory --- p.2 / Chapter 1.1 --- Molecular Hamiltonian --- p.2 / Chapter 1.2 --- Hartree Products --- p.5 / Chapter 1.3 --- Slater Determinants and Pauli Exclusion Principle --- p.6 / Chapter 1.4 --- Expansion of Total Electronic Energy in terms of Integrals over MOs --- p.8 / Chapter 1.5 --- Derivation of the Hartree-Fock Equations --- p.11 / Chapter 1.6 --- Orbital Energies and the Koopmans' Theorem --- p.14 / Chapter 1.7 --- AO Basic Sets --- p.17 / Chapter 1.7.1 --- Slater-Type Orbitals --- p.18 / Chapter 1.7.2 --- Gaussian Functions --- p.18 / Chapter 1.8 --- Self-Consistent Field Calculation --- p.19 / Chapter 1.9 --- Hartree-Fock Limit --- p.20 / Chapter 1.10 --- Electron Correlation --- p.20 / Chapter 1.10.1 --- Configuration Interaction --- p.20 / Chapter 1.10.2 --- Density Functional Theory --- p.21 / Chapter 2 --- Theoretical Investigation of Organic Light Emitting Molecules --- p.29 / Chapter 2.1 --- Introduction --- p.29 / Chapter 2.2 --- Methodology --- p.31 / Chapter 2.2.1 --- Theoretical Methodology --- p.31 / Chapter 2.2.2 --- Computational Methodology --- p.35 / Chapter 2.3 --- ADN series --- p.35 / Chapter 2.3.1 --- Molecular Structure --- p.36 / Chapter 2.3.2 --- Electronic Structure --- p.49 / Chapter 2.3.3 --- Absorption and Emission Energy --- p.55 / Chapter 2.3.4 --- Reorganization Energy --- p.56 / Chapter 2.3.5 --- Mobility --- p.57 / Chapter 2.3.6 --- Summary on ADN series --- p.66 / Chapter 2.4 --- XOT series --- p.67 / Chapter 2.4.1 --- Molecular Structure --- p.68 / Chapter 2.4.2 --- Electronic Structure --- p.89 / Chapter 2.4.3 --- Absorption and Emission Energy --- p.96 / Chapter 2.4.4 --- Reorganization Energy and Mobility --- p.98 / Chapter 2.4.5 --- Summary on XOT series --- p.100 / Chapter 2.5 --- KPA series --- p.102 / Chapter 2.5.1 --- Molecular Structure --- p.102 / Chapter 2.5.2 --- Electronic Structure --- p.123 / Chapter 2.5.3 --- Absorption and Emission Energy --- p.131 / Chapter 2.5.4 --- Reorganization Energy and Mobility --- p.131 / Chapter 2.5.5 --- Summary on KPA series --- p.133 / Chapter 2.6 --- NPA series --- p.136 / Chapter 2.6.1 --- Molecular Structure --- p.136 / Chapter 2.6.2 --- Electronic Structure --- p.160 / Chapter 2.6.3 --- Absorption and Emission Energy --- p.166 / Chapter 2.6.4 --- Reorganization Energy and Mobility --- p.167 / Chapter 2.6.5 --- Summary on NPA series --- p.169 / Chapter II --- Analytical Studies of Polarons and the Electron-Phonon Interaction / 極子與電子一聲子相互作用的解析研究 --- p.172 / Chapter 3 --- Study on Holstein Model Using Variational Approximation --- p.173 / Chapter 3.1 --- Holstein Hamiltonian --- p.173 / Chapter 3.2 --- Variational Transformation --- p.175 / Chapter 3.2.1 --- Lang-Firsov Transformation --- p.175 / Chapter 3.2.2 --- Squeezing Transformation --- p.177 / Chapter 3.3 --- Energy and Static Correlation Functions --- p.179 / Chapter 4 --- Study on Holstein Model Using Coupled-Cluster Method --- p.193 / Chapter 4.1 --- Approximation in the Coupled-Cluster Method --- p.193 / Chapter 4.2 --- Approach 1 --- p.195 / Chapter 4.2.1 --- The Zeroth and the First Levels --- p.195 / Chapter 4.2.2 --- Energies and Static Correlation Functions --- p.196 / Chapter 4.3 --- Approach 2 --- p.206 / Chapter 4.3.1 --- The Zeroth and the First Levels --- p.206 / Chapter 4.3.2 --- Energies and Static Correlation Functions --- p.210 / Chapter 4.4 --- Approach 3 --- p.225 / Chapter 4.4.1 --- The Zeroth and the First Levels --- p.226 / Chapter 4.4.2 --- Energies and Static Correlation Functions --- p.228 / Chapter 4.5 --- Comparison with the Variational Method --- p.243

Thesis (Ph. D.)--University of Chicago, Department of Chemistry, 2002. / Includes bibliographical references. Also available on the Internet.

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