La présente thèse porte sur l'utilité de la théorie de la fonctionnelle de la densité dans le design de polymères pour applications photovoltaïques. L'étude porte d'abord sur le rôle des calculs théoriques pour la caractérisation des polymères dans le cadre de collaborations entre la théorie et l'expérience. La stabilité et les niveaux énergétiques de certaines molécules organiques sont étudiés avant et après la sulfuration de leurs groupements carbonyles, un procédé destiné à diminuer le band gap. Les propriétés de dynamique électronique, de séparation des porteurs de charges et de spectres de vibrations Raman sont également explorées dans un polymère à base de polycarbazole. Par la suite, l'utilité des calculs théoriques dans le design de polymères avant leurs synthèses est considérée. La théorie de la fonctionnelle de la densité est étudiée dans le cadre du modèle de Scharber afin de prédire l'efficacité des cellules solaires organiques. Une nouvelle méthode de design de polymères à faible band gaps, basée sur la forme structurale aromatique ou quinoide est également présentée, dont l'efficacité surpasse l'approche actuelle de donneur-accepteur. Ces études sont mises à profit dans l'exploration de l'espace moléculaire et plusieurs candidats de polymères aux propriétés électroniques intéressantes sont présentés. / This thesis focuses on the role of density functional theory in the design of polymers for photovoltaic applications. Theoretical calculations are first studied in the characterization of polymers in the context of collaborations between theory and experiment. The stability and the energy levels of some organic molecules are studied before and after a sulfurization of their carbonyl groups, a process destined to lower the band gaps. The dynamics of the electronic processes and the Raman vibration spectra are also explored in a polycarbazole-based polymer. From then, the usefulness of theoretical calculations in the design of polymers before their syntheses is explored. Density functional theory calculations are studied under the Scharber model in order to predict the efficiency of organic solar cells. Then, a new approach for the design of low band gap polymer based on the aromatic or quinoid structures is established, whose efficiency surpasses the actual donor-acceptor approach. These studies are used in the exploration of the chemical space and several candidate for polymers with interesting electronic properties are presented.

In der vorliegenden Diplomarbeit wurden sekundäre Isotopeneffekte auf NMR-chemische Verschiebungen mit ab-initio quantenchemischen Methoden bestimmt. Um die zu erwartenden Fehler verschiedener Methoden abschätzen zu können, wurden die sekundären Isotopeneffekte von Fluor(2-2H1)ethan auf HF, MP2 und CCSD(T)-Niveau mit tripel- und quadrupel-Zeta Basissätzen berechnet. Anhand der Ergebnisse dieser Rechnungen lässt sich zeigen, dass gauche und antiperiplanare Konformere bereits mithilfe von sekundären Isotopenverschiebungen unterschieden werden können, die auf HF/tz2p-Niveau berechnet wurden. Weiterhin wurde untersucht, ob es eine Abhängingkeit des Isotopeneffektes von den Diederwinkeln zwischen Deuterium- und Fluorsubstituenten gibt. Die sekundären Isotopeneffekte auf 19F-NMR-chemische Verschiebungen von exo- und endo-2-Fluornorbornanen mit Deuterium Substituenten in den endo-3, exo-3, syn-7 oder anti-7 Positionen wurden auf HF/tz2p-Niveau berechnet. Es wird gezeigt, dass die berechneten Isotopeneffekte an 2-Fluornorbornanen eine Identifizierung der verschiedenen Stereoisomere erlauben. / In the present Diploma thesis secondary isotope effects on NMR chemical shieldings were determined using ab-initio quantum chemical methods. In order to estimate errors of various methods, secondary isotope effects on fluoro(2-2H1)ethane were calculated at the HF, MP2 and CCSD(T) level of theory using triple- and quadruple zeta basis sets. On the basis of these calculations it can be shown that gauche and antiperiplanar conformers can already be distinguished by their secondary isotope shifts calculated at the HF/tz2p level of theory. Furthermore it was investigated, whether a dependency of the isotope effects on dihedral angles between the deuterium and the fluorine substituent exists. The secondary isotope effects on 19F chemical shifts of exo- and endo-2-fluoronorbornanes with deuterium subsituents in the endo-3, exo-3, syn-7 or anti-7 positions were calculated at the HF/tz2p level. It is shown that the calculated isotope effects of 2-fluoronorbornanes allow to identify various stereoisomers.

In this thesis the application of novel tensor decomposition and tensor representation techniques in highly accurate post Hartree-Fock methods is evaluated. These representation techniques can help to overcome the steep scaling behaviour of high level ab-initio calculations with increasing system size and therefore break the "curse of dimensionality". After a comparison of various tensor formats the application of the "canonical polyadic" format (CP) is described in detail. There, especially the casting of a normal, index based tensor into the CP format (tensor decomposition) and a method for a low rank approximation (rank reduction) of the two-electron integrals in the AO basis are investigated. The decisive quantity for the applicability of the CP format is the scaling of the rank with increasing system and basis set size. The memory requirements and the computational effort for tensor manipulations in the CP format are only linear in the number of dimensions but still depend on the expansion length (rank) of the approximation. Furthermore, the AO-MO transformation and a MP2 algorithm with decomposed tensors in the CP format is evaluated and the scaling with increasing system and basis set size is investigated. Finally, a Coupled-Cluster algorithm based only on low-rank CP representation of the MO integrals is developed. There, especially the successive tensor contraction during the iterative solution of the amplitude equations and the error propagation upon multiple application of the reduction procedure are discussed. In conclusion the overall complexity of a Coupled-Cluster procedure with tensors in CP format is evaluated and some possibilities for improvements of the rank reduction procedure tailored to the needs in electronic structure calculations are shown. / Die vorliegende Arbeit beschäftigt sich mit der Anwendung neuartiger Tensorzerlegungs- und Tensorrepesentationstechniken in hochgenauen post Hartree-Fock Methoden um das hohe Skalierungsverhalten dieser Verfahren mit steigender Systemgröße zu verringern und somit den "Fluch der Dimensionen" zu brechen. Nach einer vergleichenden Betrachtung verschiedener Representationsformate wird auf die Anwendung des "canonical polyadic" Formates (CP) detailliert eingegangen. Dabei stehen zunächst die Umwandlung eines normalen, indexbasierten Tensors in das CP Format (Tensorzerlegung) und eine Methode der Niedrigrang Approximation (Rangreduktion) für Zweielektronenintegrale in der AO Basis im Vordergrund. Die entscheidende Größe für die Anwendbarkeit ist dabei das Skalierungsverhalten das Ranges mit steigender System- und Basissatzgröße, da der Speicheraufwand und die Berechnungskosten für Tensormanipulationen im CP Format zwar nur noch linear von der Anzahl der Dimensionen des Tensors abhängen, allerdings auch mit der Expansionslänge (Rang) skalieren. Im Anschluss wird die AO-MO Transformation und der MP2 Algorithmus mit zerlegten Tensoren im CP Format diskutiert und erneut das Skalierungsverhalten mit steigender System- und Basissatzgröße untersucht. Abschließend wird ein Coupled-Cluster Algorithmus vorgestellt, welcher ausschließlich mit Tensoren in einer Niedrigrang CP Darstellung arbeitet. Dabei wird vor allem auf die sukzessive Tensorkontraktion während der iterativen Bestimmung der Amplituden eingegangen und die Fehlerfortpanzung durch Anwendung des Rangreduktions-Algorithmus analysiert. Abschließend wird die Komplexität des gesamten Verfahrens bewertet und Verbesserungsmöglichkeiten der Reduktionsprozedur aufgezeigt.

Die vorliegende Promotionsarbeit “Density functional study of the electronic and magnetic properties of selected transition metal complexes” beschäftigt sich mit dem Zusammenhang zwischen strukturellen Merkmalen sowie elektronischen und magnetischen Eigenschaften von Einzelmolekül-Magneten. Im Wesentlichen konnte dabei gezeigt werden, dass die magnetischen Eigenschaften sowohl von strukturellen Merkmalen als auch von den elektronischen Eigenschaften bestimmt werden. Des Weiteren ergab sich, dass verschiedene Kenngrößen der magnetischen Eigenschaften (im speziellen der magnetische Grundzustand S sowie die magnetische Anisotropie D) miteinander korreliert sind. Dies ist im Besonderen für eine mögliche Anwendung von Einzelmolekül-Magneten im Bereich der Datenspeicherung von Bedeutung.

19 Dec 2004. / Published through the Information Bridge: DOE Scientific and Technical Information. "IS-T 1936" Jongik Park. 12/19/2004. Report is also available in paper and microfiche from NTIS.

The effect of spin-orbit coupling had once been thought to be a minor perturbation to the low energy band structure that could be ignored. Instead, a surge in recent theoretical and experimental efforts have shown spin-orbit interactions to have significant consequences. The main objective of this thesis is to investigate the role of the orbital sector and crystal symmetries in governing the spin texture in materials that have strong spin- orbit interactions. This can be accessed through a combination of spin- and angle-resolved photoemission spectroscopy (ARPES and spin-ARPES), both of which are powerful techniques for probing the one-electron band structure plus interactions, and supported by density functional theory calculations (DFT). We focus first on a globally inversion asymmetric material, the layered semiconductor BiTeI, which hosts a giant spin-splitting of its bulk bands. We show that these spin-split bands develop a previously undiscovered, momentum-space ordering of the atomic orbitals. We demonstrate this orbital texture to be atomic element specific by exploiting resonant enhancements in ARPES. These orbital textures drive a hierarchy of spin textures that are then tied to the constituent atomic layers. This opens routes to controlling the spin-splitting through manipulation of the atomic orbitals. This is contrasted against a material where inversion symmetry is globally upheld but locally broken within each monolayer of a two layer unit cell. Through our ARPES and spin-ARPES measurements of 2H-NbSe2, we discover the first experimental evidence for a strong out-of-plane spin polarisation that persists up to the Fermi surface in this globally inversion sym- metric material. This is found to be intrinsically linked to the orbital character and dimensionality of the underlying bands. So far, previous theories underpinning this (and related) materials' collective phases assume a spin- degenerate Fermi sea. We therefore expect this spin-polarisation to play a role in determining the underlying mechanism for the charge density wave phase and superconductivity. Through these studies, this thesis then develops the importance of global versus local inversion symmetry breaking and uncovers how this is intricately tied to the underlying atomic orbital configuration.

La découverte de nouveaux composés cristallins par simulation numérique est un défi majeur en Science des Matériaux. Aussi, trois familles sont à l'étude : les composés constitués de lithium et de dioxyde de carbone ; les phases nitrures MxNy avec M = Mg, Ba, Mo et Zr ; les systèmes GaPO4 et SiS2. Les structures cristallographiques sont déterminées in silico à l'aide de l'algorithme évolutionnaire USPEX couplé à des calculs DFT (VASP). L'étude du polymorphisme en fonction de la pression est conduite tandis que l'analyse des propriétés structurales et électroniques constitue le cœur de cette thèse. Nos travaux mettent clairement en évidence l'effet de la pression dans l'émergence de stoichiométries inhabituelles telles que Li2(CO2), MgN4, et BaN10. Certains de ces matériaux hypothétiques restent stables à pression atmosphérique. Il est montré que l'ajout d'un élément du bloc s autorise la « polymérisation » des molécules insaturées CO2 et N2 à des pressions plus basses. Ainsi, l'oxalate C2O42- polymérise en chaine infinie poly-dioxane à 33 GPa dans LiCO2 ; la nouvelle composition Li2CO2 présente des motifs de type éthène (-O)2C=C(O-)2 ; des chaînons N2, N3 et N4, des anions pentazolates N5- et des cycles N6 sont identifiés dans les phases AexNy, ainsi que des chaines covalentes infinies (1D) stabilisés par les cations alcalino-terreux Ae ; le composé Ba3N2 est un électride conducteur à pression ambiante et un isolant au-dessus de 5 GPa ; la structure stable de MoN2 a des entités N2 encapsulées, et non l'arrangement en feuillet de type MoS2 proposé par des expérimentateurs ; nos prédictions couplées aux données DRX permettent l'élucidation de la structure de GaPO4 à 20 GPa. / The discovery of novel crystalline compounds by numerical simulation is a major challenge in Materials Science. Also, three families are being studied: compounds consisting of lithium and carbon dioxide; the MxNy nitride phases with M = Mg, Ba, Mo and Zr; the GaPO4 and SiS2 systems. The crystallographic structures are determined in silico using the evolutionary algorithm USPEX coupled with DFT calculations (VASP). The study of polymorphism as a function of pressure is carried out whereas the analysis of structural and electronic properties constitutes the heart of this thesis. Our work clearly presents the effect of pressure on the emergence of unexpected stoichiometries, such as Li2(CO2), MgN4, and BaN10. Some of these hypothetical materials remain stable at atmospheric pressure. It's shown that the addition of the s-block element allows the "polymerization" of the unsaturated molecules CO2 and N2 to be carried out at lower pressures. Thus, oxalate C2O42- polymerizes in an infinite poly-dioxane chain in LiCO2 at 33 GPa; the new Li2CO2 composition presents the ethene like (-O)2C=C(O-)2 motif; N2, N3 and N4 finite chains, N5-pentazolate anions, and N6 rings are identified in the AexNy phases, as well as, infinite covalent (1D) chains stabilized by the alkaline earth cations (Ae); the Ba3N2 compound is a conductive electride at ambient pressure and an insulator above 5 GPa; the ground stable structure of MoN2 has encapsulated N2 units, and is not the MoS2 type arrangement proposed by experimentalists; our predictions coupled with the XRD data allow the elucidation of the GaPO4 structure at 20 GPa.

Les contributions de cette thèse portent sur deux sujets.La première partie est dédiée à l'étude de modèles de champ moyen pour la structure électronique de matériaux avec des défauts.Dans le chapitre~ref{chap:ergodic_crystals}, nous introduisons et étudions le modèle de Hartree-Fock réduit (rHF) pour des cristaux désordonnés. Nous prouvons l'existence d'un état fondamental et établissons, pour les interactions de Yukawa (à courte portée), certaines propriétés de cet état. Dans le chapitre~ref{chap:défauts_étendus}, nous considérons des matériaux avec des défauts étendus. Dans le cas des interactions de Yukawa, nous prouvons l'existence d'un état fondamental, solution de l'équation auto-cohérente. Nous étudions également le cas de cristaux avec une faible concentration de défauts aléatoires. Dans le chapitre~ref{chap:numerical_simuation}, nous présentons des résultats de simulations numériques de systèmes aléatoires en dimension un.Dans la deuxième partie, nous étudions des modèles Monte-Carlo cinétique multi-échelles en temps. Nous prouvons, pour les trois modèles présentés au chapitre~ref{chap:kMC}, que les variables lentes convergent, dans la limite de la grande séparation des échelles de temps, vers une dynamique effective. Nos résultats sont illustrés par des simulations numériques. / The contributions of this thesis concern two topics.The first part is dedicated to the study of mean-field models for the electronic structure of materials with defects. In Chapter~ref{chap:ergodic_crystals}, we introduce and study the reduced Hartree-Fock (rHF) model for disordered crystals. We prove the existence of a ground state and establish, for (short-range)Yukawa interactions, some properties of this ground state. In Chapter~ref{chap:défauts_étendus}, we consider crystals with extended defects. Assuming Yukawa interactions, we prove the existence of an electronic ground state, solution of the self-consistent field equation. We also investigate the case of crystals with low concentration of random defects. In Chapter~ref{chap:numerical_simuation}, we present some numerical results obtained from the simulation of one-dimensional random systems.In the second part, we consider multiscale-in-time kinetic Monte Carlo models. We prove, for the three models presented in Chapter~ref{chap:kMC}, that in the limit of large time-scale separation, the slow variables converge to an effective dynamics. Our results are illustrated by numerical simulations.

L'objectif de la thèse fut d'étudier plusieurs techniques d'analyse de défaillance (Microscopie magnétique, Thermographie à détection synchrone, Tomographie à Rayons X, Réflectométrie Temporelle) sur leur propriété de localisation de défaut électrique (Court-circuit, circuit ouvert, ouvert résistif, etc.) sur des systèmes et composants électroniques 3D. Des possibilités d'évolution de ces techniques sont suggérées afin de permettre d'assurer la localisation des défauts dans ces nouveaux composants électroniques. Ceci passe notamment par la mise en place d'analyses magnétiques sur des échantillons inclinés ainsi que par l'introduction d'une imagerie de phase, et d'amplitude magnétique. Ce travail a également permis de proposer le couplage d'informations obtenues par microscopie magnétique et tomographique à rayons X dont l'ensemble serait piloté par simulation magnétique 3D. / The thesis purpose was to explore several failure analysis techniques (Magnetic microscopy, Lock-in Thermography, X-rays Tomography, Time Domain Reflectometry) on their capabilities to localize the electrical defect (Short circuit, open circuit, resistive open, etc.) on 3D electronic component and system. Assessment possibilities of these techniques are suggested in order to ensure the defect localization in these new components. In particular, implementations of magnetic analysis in tilted sample as well as introduction of phase and amplitude magnetic images have been realized. This work also proposes to couple information obtain from magnetic microscopy to X-rays Tomography where the all system would be driven by 3D magnetic simulation

Submitted by Vasti Diniz (vastijpa@hotmail.com) on 2017-09-13T12:17:27Z No. of bitstreams: 1 arquivototal.pdf: 26917769 bytes, checksum: 9ff17103475ce4130305b157369d8448 (MD5) / Made available in DSpace on 2017-09-13T12:17:27Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 26917769 bytes, checksum: 9ff17103475ce4130305b157369d8448 (MD5) Previous issue date: 2015-03-06 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / In the present work, we use first-principles calculations based on density functional theory, as implemented in the SIESTA code, to investigate the changes in the structural and electronic properties of the carbon, BN, and hybrid BxCyNz nanotubes produced by one or two of the following mechanisms: doping with carbon atoms, the application of external electric fields, by flattening of the cross section, the encapsulation of a carbon nanowire or the adsorption of hydrogen atoms (hydrogenation). We start with the study of double-walled boron nitride nanotubes (DWBNNTs), zig-zag and armchair, doped with carbon atoms, with chiral vectors (8,0)@(16,0) and (5,5)@(10,10), respectively. Two types of doping were considered: one C atom substituting a B atom on the inner wall (IW) and one C atom substituting a N atom on the outer wall (OW), which we call of CB[IW]@CN[OW], and the opposite situation results in CN[IW]@CB[OW]. In this sense, we generate a (type-p semiconductor)@(type-n semiconductor) and a (type-n semiconductor)@(type-p semiconductor), where the resulting DWBNNTs can be thought of as p-n junctions. At the same time, we apply an external electric field, with magnitude of 0,3 V/Å, in different directions, namely, perpendicular (Ey), parallel (Ex), and antiparallel (E􀀀x) to the line formed by the dopants. Thus, depending on the direction of the applied field, we observe an increase or decrease in the band gap energy between the defect levels (Eig), and such cases are related to the reverse and direct polarization of the p-n junction, respectively. Afterwards, we study the insertion of a carbon nanowire (CNW) inside a (10.0) zigzag carbon nanotube and inside a (10.0) zig-zag BN nanotube. Such systems were called CNW@SWCNT and CNW@SWBNNT, respectively. We produce the flattening of the nanotubes and verify the behavior of the atomic structure of the nanowire as the flattening of the nanotube increases. From the obtained results, it was possible to conclude that, for both CNW@SWCNT and CNW@SWBNNT, there is a critical distance dc (distance between the parallel planes of the flattened nanotubes (d)), with the value of 3.60 Å, so that we can summarize our findings as follows: in the case d > dc, the carbon nanowire does not undergo any deformation; and in the reverse case (d < dc), the carbon nanowire binds to the wall of the nanotube and undergoes deformations. Regarding the electronic properties, we verify that the encapsulation of the CNW inside the SWCNT and SWBNNT, produces a significant reduction of the band gap energy (Eg) of such systems. Moreover, we observe ABSTRACT viii the creation of Dirac points for some flattening ratios of the nanotubes. Finally, we carry out a study on the adsorption of hydrogen atoms (hydrogenation) on the surface of double-walled boron nitride nanotubes (DWBNNTs) and hybrid nanotubes of boron nitride and carbon (DW(BN)xCyNTs). Due to the fact that the nanotubes have two walls, we consider the following cases: (i) coverages of 2H, 4H, 8H, 12H, and 16H on the inner wall, (ii) coverages of 2H, 4H, 8H, 16H, and 32H on the outer wall, and (iii) coverages of 2H, 4H, 8H, 16H, and 32H on both walls. Curiously, we find that for all hydrogen coverages considered, a strong deformation occurs in the hydrogen regions, causing the cross section of the nanotubes take different polygonal shapes: ellipsoidal, rectangular, hexagonal or octahedral. For coverages of 16H and 32H only on the outer wall, we observe that some hydrogens desorbed from the wall forming isolated H2 molecules without preferential orientation. We verify that, in some cases, the bond angles between the B, N and H or C and H atoms exhibit characteristics of the sp3 hybridization. Regarding the structural stability, we verify that the adsorption of H atoms in DWBNCNTs is more favorable than in DWBNNTs. Moreover, we conclude that is possible to control the band gap energy of the nanotubes through the hydrogen coverage. / No presente trabalho, usamos cálculos de primeiros princípios baseados na Teoria do Funcional da Densidade, como implementado no código SIESTA, para investigarmos as alterações nas propriedades estruturais e eletrônicas de nanotubos de carbono, de BN e híbridos BxCyNz, produzidas por um ou dois dos seguintes mecanismos: dopagem com átomos de carbono, aplicação de campos elétricos externos, pelo achatamento da secção transversal, encapsulamento de um nanofio de carbono ou pela adsorção de átomos de hidrogênio (hidrogenação). Iniciamos com o estudo de nanotubos de nitreto de boro de parede dupla (DWBNNTs), zig-zag e armchair, dopados com átomos de carbono, com vetores quirais (8,0)@(16,0) e (5,5)@(10,10), respectivamente. Duas situações de dopagem foram consideradas: um átomo de C substituindo um átomo de B na parede interna (IW) e um átomo de C substituindo um átomo de N na parede externa (OW) a qual chamamos de CB[IW]@CN[OW], e a situação oposta resulta em CN[IW]@CB[OW]. Neste sentido, construímos um (semicondutor do tipo-p)@(semicondutor do tipo-n) e um (semicondutor do tipo-n)@(semicondutor do tipo-p) onde os DWBNNTs resultantes podem ser pensados como junções p-n. Paralelamente, aplicamos um campo elétrico externo, com magnitude de 0,3 V/Å, em diferentes direções, a saber, perpendicular (Ey), paralelo (Ex) e anti-paralelo (E􀀀x) a linha formada pelos dopantes. Assim, dependendo da direção do campo aplicado, observamos um aumento ou diminuição do gap de energia entre os níveis de defeitos (Eig) e tais casos estão relacionados a polarização reversa e direta da junção p-n, respectivamente. Em seguida, estudamos a inserção de um nanofio de carbono (CNW) no interior de um nanotubo de carbono e de BN, ambos com vetor quiral (10.0). Tais sistemas foram chamados de CNW@SWCNT e CNW@SWBNNT, respectivamente. Nós produzimos o achatamento dos nanotubos e verificamos o comportamento da estrutura atômica do nanofio a medida que o achatamento do nanotubo aumenta. A partir dos resultados obtidos, foi possível concluir que para ambos os CNW@SWCNT e CNW@SWBNNT, existe uma distancia crítica dc (distância entre os planos paralelos dos nanotubos achatados (d)), com um valor de 3.60 Å, de tal forma que nós podemos resumir as nossas descobertas como: no caso de d > dc, o nanofio de carbono não sofre nenhuma deformação; e no caso reverso (d < dc), o nanofio de carbono liga-se a parede do nanotubo e sofre deformações. Em relação as propriedades eletrônicas, verificamos que o encapsulamento do CNW nos SWCNT e SWBNNT, produz uma significativa redução do gap de energia (Eg) de tais sisteRESUMO vi mas. Além disso, observamos a formação de pontos de Dirac para algumas taxas de achatamento dos nanotubos. Por último, nós realizamos um estudo da adsorção de átomos de hidrogênio (hidrogenação) sobre a superfície de um nanotubo de parede dupla de nitreto de boro (DWBNNTs) e um nanotubo híbrido de nitreto de boro e carbono (DW(BN)xCyNTs). Devido ao fato dos nanotubos possuírem duas paredes, consideramos os seguintes casos: (i) coberturas de 2H, 4H, 8H, 12H e 16H na parede interna, (ii) coberturas de 2H, 4H, 8H, 16H e 32H na parede externa e (iii) coberturas de 2H, 4H, 8H, 16H e 32H em ambas as paredes. Curiosamente, verificamos que em todas as coberturas de hidrogênio consideradas, uma forte deformação ocorre nos locais de hidrogênio, fazendo a secção transversal dos nanotubos se transformar em diferentes formas poligonais: elipsoidal, retangular, hexagonal ou octaedral. Para coberturas de 16H e 32H apenas na parede externa, observamos que alguns hidrogênios se dessorveram da parede formando moléculas de H2 isoladas sem orientação preferencial. Verificamos que em alguns casos, os ângulos de ligação entre os átomos de B, N e H ou C e H exibem características da hibridação sp3. Com relação a estabilidade estrutural, verificamos que a adsorção de átomos de H em DWBNCNTs é mais favorável do que em DWBNNTs. Ademais, concluímos que é possível controlar o gap de energia dos nanotubos através da cobertura de hidrogênio.