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Analysis of defects in GaN using Hybrid Density Functional TheoryDiallo, Ibrahima Castillo 29 April 2013 (has links)
In this thesis, we first present a brief overview of various theoretical approaches used to examine the electronic structure of defects in GaN. Using the recently developed hybrid density functional theory (HSE06) along with the experimental measurements, we propose a new explanation of the nature of the yellow luminescence band in carbon-doped GaN. We conduct a systematic study of electronic and optical properties of defects (Carbon, Oxygen, Silicon related) that are candidates for the origin of yellow luminescence. We show that the CN-ON complex is significantly more likely to form compared to isolated carbon configurations. In contrast to the properties of the isolated carbon acceptor, calculated defect levels and optical transitions involving deep level of the CN-ON complex agree quite well with our thermal luminescence quenching data as well as with the experimentally measured C-doped GaN luminescence spectra. Hence, the CN-ON complex, rather than isolated C impurity, is more likely to resolve a long-standing problem of the yellow luminescence in GaN.
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Investigation of LDA+U and hybrid functional methods on the description of the electronic structure of YTiO<sub>3</sub> under high pressureSong, Zhe 06 December 2007
Currently, there are two main methodologies for the calculation of the electronic structure and properties of crystalline solids. Known as the Hartree-Fock Method (HF) and the Density Functional Theory (DFT) methods, they are based on two different theories for the numerical solution of the many electron Schrödinger equation. Unfortunately, in highly correlated electron systems like transition metal complexes, both the HF and DFT methods have severe shortcomings. In some cases they fail to provide the correct description of the electronic structure. <p>In general, the HF method overestimates the energy band gap due to the neglect of electron correlation effects and the incorrect description of electron interactions in the unoccupied orbitals. In contrast, even though electron correlation effects are implicitly included in the density functional, DFT often underestimates the band gap due to the improper treatment of the electron self-interaction. <p> To amend these problems, two approaches have been proposed. The deficiency in the HF scheme can be corrected using a hybrid method which adds exchange correlation energy borrowed from DFT to help reduce the band gap energy and bring the predictions in better agreement with experiment. To improve DFT, the LDA+U approach, which uses a model Hubbard-like Hamiltonian including an on-site repulsion parameter U, can be employed. This method is a convenient semi-quantitative way to efficiently calculate the band gap of insulators and semiconductors.<p> In this thesis, the electronic structure of YTiO<sub>3</sub> under pressure is investigated using the aforementioned approaches. The performance and reliability of these methods will be examined, compared and discussed.
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Investigation of LDA+U and hybrid functional methods on the description of the electronic structure of YTiO<sub>3</sub> under high pressureSong, Zhe 06 December 2007 (has links)
Currently, there are two main methodologies for the calculation of the electronic structure and properties of crystalline solids. Known as the Hartree-Fock Method (HF) and the Density Functional Theory (DFT) methods, they are based on two different theories for the numerical solution of the many electron Schrödinger equation. Unfortunately, in highly correlated electron systems like transition metal complexes, both the HF and DFT methods have severe shortcomings. In some cases they fail to provide the correct description of the electronic structure. <p>In general, the HF method overestimates the energy band gap due to the neglect of electron correlation effects and the incorrect description of electron interactions in the unoccupied orbitals. In contrast, even though electron correlation effects are implicitly included in the density functional, DFT often underestimates the band gap due to the improper treatment of the electron self-interaction. <p> To amend these problems, two approaches have been proposed. The deficiency in the HF scheme can be corrected using a hybrid method which adds exchange correlation energy borrowed from DFT to help reduce the band gap energy and bring the predictions in better agreement with experiment. To improve DFT, the LDA+U approach, which uses a model Hubbard-like Hamiltonian including an on-site repulsion parameter U, can be employed. This method is a convenient semi-quantitative way to efficiently calculate the band gap of insulators and semiconductors.<p> In this thesis, the electronic structure of YTiO<sub>3</sub> under pressure is investigated using the aforementioned approaches. The performance and reliability of these methods will be examined, compared and discussed.
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O modelo de Hubbard unidimensional via DFT: o potencial de troca e correlação e o funcional híbrido / The one-dimensional Hubbard model via DFT: the exchange-correlation potential and the hybrid functionalNardi, Lucas Marcelo Cavalari 27 July 2016 (has links)
A Teoria do funcional da Densidade (DFT) é muito empregada no estudo da densidade eletrônica e energia do estado fundamental de sistemas interagente de muitos elétrons. Uma de suas desvantagens é que, apesar de formalmente exata, a DFT depende de aproximações no funcional de troca e correlação Exc[n]. Uma de suas vantagens é a possibilidade de trabalhar com a conexão adiabática, que permite conectar explicitamente o sistema interagente de interesse com uma versão não-interagente de mesma densidade. Baseado em seu escopo esta dissertação tem como objetivo tratar da DFT no modelo de Hubbard unidimensional. Uma das vantagens em trabalhar com o Hubbard é a existência de uma solução formalmente exata para a energia do modelo homogêneo e unidimensional via ansatz de Bethe, tal solução serve de base para os nossos cálculos e resultados. Outra vantagem do modelo de Hubbard é a existência de um gap que aproximações usuais na DFT falham em reproduzir. Um de nossos resultados é calcular o gap de duas formas. Uma através da derivada da solução via ansatz de Bethe e outro é tratar o Hamiltoniano pela conexão adiabática, calcular o gap pelo potencial químico, este último calculado pelo ansatz de Bethe. Ao final comparamos a precisão dos métodos, apenas para descobrir que o método via potencial químico é mais preciso. Por último usamos a conexão adiabática e a aproximação de Hartree-Fock para teorizar um funcional híbrido no modelo de Hubbard unidimensional. / The Density Functional Theory (DFT) is a widely used in the study of electronic density and energy of the ground-state of interacting systems consisting of many electrons. One of its disadvantages is that, although it is formally exact, the DFT depends on approximations of the exchange-correlation functional Exc[n]. One of its advantages consists of the possibility of working with the adiabatic connection, which allows a explicit connection between the interacting system of our interest and a non-interacting system that yields the same density. Based on its scope this dissertation aims to address the DFT in the one-dimensional Hubbard model. One of the Hubbards model advantage consists of the existence of a formally exact solution to the energy of the homogeneous one-dimensional model via Bethe ansatz, such a solution serves as the basis for our calculations and results. Anothe Hubbards model advantage is the existence of a gap that usual approximations in DFT fail to calculate. One of our results is to calculate the gap in two different ways. One through the derivative of the Bethe ansatz solution and the other is to address the Hamiltonian through the adiabatic connection, calculate the gap through the chemical potential, the latter calculated via Bethe ansatz. In the end we compare their precisions, only to find that the one via chemical potential is more precise. At last we use the adiabatic connection and the Hartree-Fock approximation to theorize a hybrid functional in the one-dimensional Hubbard model.
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O modelo de Hubbard unidimensional via DFT: o potencial de troca e correlação e o funcional híbrido / The one-dimensional Hubbard model via DFT: the exchange-correlation potential and the hybrid functionalLucas Marcelo Cavalari Nardi 27 July 2016 (has links)
A Teoria do funcional da Densidade (DFT) é muito empregada no estudo da densidade eletrônica e energia do estado fundamental de sistemas interagente de muitos elétrons. Uma de suas desvantagens é que, apesar de formalmente exata, a DFT depende de aproximações no funcional de troca e correlação Exc[n]. Uma de suas vantagens é a possibilidade de trabalhar com a conexão adiabática, que permite conectar explicitamente o sistema interagente de interesse com uma versão não-interagente de mesma densidade. Baseado em seu escopo esta dissertação tem como objetivo tratar da DFT no modelo de Hubbard unidimensional. Uma das vantagens em trabalhar com o Hubbard é a existência de uma solução formalmente exata para a energia do modelo homogêneo e unidimensional via ansatz de Bethe, tal solução serve de base para os nossos cálculos e resultados. Outra vantagem do modelo de Hubbard é a existência de um gap que aproximações usuais na DFT falham em reproduzir. Um de nossos resultados é calcular o gap de duas formas. Uma através da derivada da solução via ansatz de Bethe e outro é tratar o Hamiltoniano pela conexão adiabática, calcular o gap pelo potencial químico, este último calculado pelo ansatz de Bethe. Ao final comparamos a precisão dos métodos, apenas para descobrir que o método via potencial químico é mais preciso. Por último usamos a conexão adiabática e a aproximação de Hartree-Fock para teorizar um funcional híbrido no modelo de Hubbard unidimensional. / The Density Functional Theory (DFT) is a widely used in the study of electronic density and energy of the ground-state of interacting systems consisting of many electrons. One of its disadvantages is that, although it is formally exact, the DFT depends on approximations of the exchange-correlation functional Exc[n]. One of its advantages consists of the possibility of working with the adiabatic connection, which allows a explicit connection between the interacting system of our interest and a non-interacting system that yields the same density. Based on its scope this dissertation aims to address the DFT in the one-dimensional Hubbard model. One of the Hubbards model advantage consists of the existence of a formally exact solution to the energy of the homogeneous one-dimensional model via Bethe ansatz, such a solution serves as the basis for our calculations and results. Anothe Hubbards model advantage is the existence of a gap that usual approximations in DFT fail to calculate. One of our results is to calculate the gap in two different ways. One through the derivative of the Bethe ansatz solution and the other is to address the Hamiltonian through the adiabatic connection, calculate the gap through the chemical potential, the latter calculated via Bethe ansatz. In the end we compare their precisions, only to find that the one via chemical potential is more precise. At last we use the adiabatic connection and the Hartree-Fock approximation to theorize a hybrid functional in the one-dimensional Hubbard model.
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Establishing Quantum Monte Carlo and Hybrid Density Functional Theory as Benchmarking Tools for Complex SolidsDriver, Kevin P. 17 March 2011 (has links)
No description available.
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First-Principles Studies of Materials Properties : Pressure-Induced Phase Transitions & Functional MaterialsKaewmaraya, Thanayut January 2015 (has links)
This thesis presents the first-principles studies of materials properties within the framework of the density functional theory (DFT). The thesis constitutes three main parts, i. e., pressure-induced phase transitions in solids, data-storage and clean-energy materials. The first part focuses on the predictions of crystal structures and the determinations of electronic properties of Xe-H2, FeB4 and Co3O4. Pressurizing Xe-H2 compound yields the formation of H-rich Xe(H2)8, which can exhibit a metallic feature at comparatively lower pressure than pure hydrogen. Hard superconducting FeB4 gets transformed into a novel transparent phase under pressure owing to the enhanced overlap of atomic cores. Spinel Co3O4 undergoes the phase transition from a cubic to a monoclinic because of the charge transfer between cations via the increased 3d-3d interactions. The second part involves the study of structural and electronic properties of phase-change memory materials (PCMs), i. e., Ge2Sb2Te5 (GST) and Ga-doped In2O3. Van der Waals (vdW) interaction must be considered to obtain accurate crystal structure of layered GST. For Ga-doped In2O3 (GIO), the local structure of amorphous GIO is found to resemble that of amorphous In2O3, except the vicinity of doping atoms. The electronic property of a-GIO is metallic, which considerably differs from the semiconducting feature of the crystalline GIO. This emphasizes the contrast in the conductivity of the crystalline and amorphous upon phase switching of GIO. The third part associates with the search for clean-energy materials, viz., hydrogen production, hydrogen storage and green Mg-ion batteries. For hydrogen production, the role of intrinsic point defects to water adsorption on ZnO(10-10) surface is investigated. The findings show that the Zn and O defect-sites are energetically not favorable for the water adsorption and dissociation. For the purpose of storing hydrogen in a solid phase, silicene, doped by alkaline and alkaline earth metals, is investigated. We find that Li-doped and Na-doped silicene can attain the superior storage capacity. For cathode material of Mg-ion batteries, Mg2Mo6S8, the diffusivity of Mg ions occurs through an available channel in the bulk with the onset temperature of 200 K.
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Pt(II) complexes as scaffolds in supramolecular assemblies / Complexes de platine (II) comme ossatures dans les assemblages supramoléculairesSinn, Stephan 31 March 2017 (has links)
Cette thèse se concentre sur la synthèse et l’analyse photophysique de complexes de Pt(II) luminescents and leur assemblage après agrégation. Multiples motifs supramoléculaires ont été utilisé pour acquérir un contrôle sur l’assemblage de ces complexes plan-carrés.Des ossatures de type couronne-éther furent attachés à des complexes métalliques phosphorescents pour donner un bouton supramoléculaire qui peut être actionné par des cations potassium. De plus, l’altération de l’arrangement de l’empilage des Pt(II) après coordination d’un ligand fut exploité pour la réalisation d’un senseur chimique qui peut être utilisé pour la détection différentielle d’aza-hétérocylces. Par ailleurs, l’installation d’un motif pont hydrogène à un complexe de Pt(II) luminescent fut établie, donnant un composé ayant un organisation 2D sur graphène. Finalement, des complexes de Pt(II) amphiphiles qui s’auto-assemblent en solution aqueuse dans des agrégats hautement luminescents furent synthétisés. La série de complexes soluble dans l’eau, chargés négativement ou neutres furent caractérisés par rapport à leurs paramètres photophysiques et leurs interactions avec des protéines capsides virales. / The presented thesis focused on the synthesis and photophysical investigation of luminescent Pt(II) complexes and their resulting assemblies that form upon aggregation. Multiple supramolecular motifs were utilized in order to gain control over the assembling behavior of the square-planar complexes. Crown-ether scaffolds were tethered with the phosphorescent metal complexes rendering a supramolecular switch that can be triggered by potassium cations. Moreover, alteration of the Pt(II)-stacking arrangement upon ligand coordination was exploited to realize a chemosensor that can be employed for of differential detection of aza-heterocycles. Furthermore, the installation of a H-bond motif to a luminescent Pt(II) complex was established, which resulted in a compound forming a two-dimensional organization on graphene. Finally, amphiphilic Pt(II) complexes were synthesized that self-assemble into highly luminescent aggregates in aqueous solutions. The series of water soluble neutral and negatively charged metal complexes were characterized with respect to their photophysical parameters and their interactions with virus coat proteins.
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Methods for Accurately Modeling Complex MaterialsNicklas, Jeremy William Charles 24 July 2013 (has links)
No description available.
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INVESTIGAÇÃO TEÓRICA DE MATERIAIS COM ESTRUTURA ILMENITARibeiro, Renan Augusto Pontes 12 March 2015 (has links)
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Previous issue date: 2015-03-12 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / The development of spintronic has motivated the research for new half-metallic magnetic materials due to multifunctionality of these compounds and the spin-based devices fabrication with increased performance as compared to the usual electronic devices. From this
perspective, we propose a theoretical investigation of FeBO3 (B = Ti, Zr, Hf, Si, Ge, Sn) ilmenite materials based on Density Functional Theory (DFT) within B3LYP hybrid
functional to investigate the B-site cation replacement effect on the structural, elastic, magnetic and electronic properties of ilmenite materials. Calculated structural parameters are in agreement with experimental results and shown that the unit cell volume can be controlled
by ionic radius of the B-site metals. The bond distances for FeO6 and BO6 octahedral clarify the Jahn-Teller distortion and Fe-O-B-O-Fe intermetallic connection. The elastic behavior was investigated from bulk modulus and showed that such results were influenced by different material densities. Furthermore, these quantities can be used for analyzing the thermodynamic stability of solids, proving that FeSnO3 and FeHfO3 are unstable due to the negative values for bulk modulus. The B-site radius effect is also evidenced on the magnetic property, where Fe(Ti, Si, Ge)O3 are antiferromagnetic, while Fe(Zr, Hf, Sn)O3 are ferromagnetic. The Mulliken population analysis and charge density maps show the charge corridor formation in
the [001] direction due to the intermetallic connection with the B-site metals and electronegativity affecting the stability of ilmenite materials. The Density of States and Band Structure profiles show that antiferromagnetics materials and FeZrO3 are convectional semiconductors, whereas FeHfO3 and FeSnO3 exhibit intrinsic half-metallic behavior, making them promising candidates for spintronic devices. / O desenvolvimento da spintrônica tem motivado a busca por novos materiais magnéticos com comportamento meio-metálico devido à multifuncionalidade desses compostos e ao desenvolvimento de dispositivos baseados no spin do elétron, proporcionando um aumento do desempenho em relação aos dispositivos eletrônicos usuais. Nesse trabalho, propomos a
investigação teórica, baseada na Teoria do Funcional de Densidade utilizando o funcional híbrido B3LYP, dos materiais FeBO3 (B = Ti, Zr, Hf, Si, Ge, Sn) na estrutura ilmenita com objetivo de esclarecer o efeito da substituição do cátion B sobre as propriedades estruturais,
elásticas, magnéticas e eletrônicas. Os parâmetros estruturais calculados se mostraram em concordância com resultados experimentais e teóricos, revelando que o volume da célula unitária é controlado pelo raio iônico do cátion B. As distâncias de ligação calculadas para os
octaedros FeO6 e BO6 indicam a existência do efeito de distorção Jahn-Teller e da conexão intermetálica Fe-O-B-O-Fe. O comportamento elástico foi investigado a partir do bulk modulus, indicando que tal entidade é dependente da densidade dos materiais e discute-se a
possibilidade de utilizar esse fator para análise da estabilidade termodinâmica de sólidos, sugerindo a instabilidade dos materiais FeSnO3 e FeHfO3 devido aos valores negativos de bulk modulus. O efeito do tamanho dos cátions B é evidenciado sobre as propriedades
magnéticas dos materiais, sendo que Fe(Ti, Si, Ge)O3 são antiferromagnéticos; enquanto que, Fe(Zr, Hf, Sn)O3 são ferromagnéticos. A análise populacional de Mulliken e os mapas de densidade de carga mostraram a formação de um corredor de carga nas conexões intermetálicas observadas na direção [001] e que a eletronegatividade dos cátions B afeta a estabilidade dos materiais com estrutura ilmenita. Os perfis de Densidade de Estados e
Estrutura de Bandas mostram que os materiais antiferromagnéticos e o FeZrO3 são semicondutores convencionais, entretanto, FeHfO3 e FeSnO3 exibem comportamento meiometálico intrínseco, tornando-os promissores candidatos para dispositivos spintrônicos,
porém, com outra estrutura.
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