Naphthylene−γ: proposição teórica de sistemas 1D e 2D formados por blocos fenil e naftil interligados por anéis quadrangulares

Detalhes bibliográficos
Autor(a) principal: BESERRA, David Joseph Pereira
Data de Publicação: 2022
Tipo de documento: Tese
Idioma: por
Título da fonte: Biblioteca Digital de Teses e Dissertações da UFMA
Texto Completo: https://tedebc.ufma.br/jspui/handle/tede/tede/4142
Resumo: Since synthesizing graphene in 2004, the search for modification in its properties, specialty the electronic one, has motivated the study of carbon allotropes with different symmetries that disrupt the graphene’s traditional honeycomb lattice. In addition to the geometric modifications, an efficient approach to tune the electronic properties of carbon-based materials is, since heteroatom insertion, to a complete system composed of another chemical species, like boron nitride, or simply BN. From a fundamental point of view, boron and nitrogen have deficiency and excess of one valence electron relative to carbon, and they have similar atomic radii. Here, a new carbon allotrope is proposed. It is named the naphthylene-γ, which is theoretically constructed by combining phenyl-like (P) and naphthyl-like (N) blocks joined by 4-membered links, resulting in a system with large 10- and 12-ring pores. Furthermore, the naphthylene-γ is suitable to be cast into a boron- nitride configuration since it is a bipartite structure featuring only even-membered rings. It turns out BN configurations of naphthylene-γ can potentially result in systems suitable to be embedded into nanoelectronics applications since they are expected to exhibit robust band gaps. With this motivation, several hybrid systems were hypothetically proposed by replacing part of naphthylene-γ’s C atoms for BN sectors with different concentrations. It was utilized first-principles calculations based on Density Functional Theory (DFT), implemented on the SIESTA code. The naphthylene-γ has a semiconductor behavior, and theory predicts that this property is shared by its nanoribbon counterparts. The computational analysis also indicates the electronic structure of these systems is dictated by quasi-1D states due to the interplay between the system’s geometry (e.g., chirality and edge structure) and its electronic properties. The energy gap for the hybrid γ systems does not vary monotonically with increasing BN concentration. In fact, strategical choices for the sites undergoing C-to-BN substitution result in specific modifications in the electronic signature of the systems. It was also investigated full-BN naphthylene-γ sheets, which show band gaps significantly different from those of hexagonal-BN. It further investigated nanoribbons based on these BN sheets, showing that they closely follow the properties of their parent 2D structure as they feature frontier states internally located over the ribbon structures.
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spelling GUERINI, Silvete Coradihttp://lattes.cnpq.br/0527275499843168GIRÃO, Eduardo Costahttp://lattes.cnpq.br/8674246016323947GUERINI, Silvete Coradihttp://lattes.cnpq.br/0527275499843168GIRÃO, Eduardo Costahttp://lattes.cnpq.br/8674246016323947GARGANO, Ricardohttp://lattes.cnpq.br/6682074601211769AZEVEDO, Sérgio André Fonteshttp://lattes.cnpq.br/2195090548621158SANTOS, Clenilton Costa doshttp://lattes.cnpq.br/9192468880980905http://lattes.cnpq.br/0958192100273892BESERRA, David Joseph Pereira2022-10-10T13:59:24Z2022-09-27BESERRA, David Joseph Pereira. Naphthylene−γ: proposição teórica de sistemas 1D e 2D formados por blocos fenil e naftil interligados por anéis quadrangulares. 2022. 132 f. Tese (Programa de Pós-Graduação em Física/CCET) - Universidade Federal do Maranhão, São Luís, 2022.https://tedebc.ufma.br/jspui/handle/tede/tede/4142Since synthesizing graphene in 2004, the search for modification in its properties, specialty the electronic one, has motivated the study of carbon allotropes with different symmetries that disrupt the graphene’s traditional honeycomb lattice. In addition to the geometric modifications, an efficient approach to tune the electronic properties of carbon-based materials is, since heteroatom insertion, to a complete system composed of another chemical species, like boron nitride, or simply BN. From a fundamental point of view, boron and nitrogen have deficiency and excess of one valence electron relative to carbon, and they have similar atomic radii. Here, a new carbon allotrope is proposed. It is named the naphthylene-γ, which is theoretically constructed by combining phenyl-like (P) and naphthyl-like (N) blocks joined by 4-membered links, resulting in a system with large 10- and 12-ring pores. Furthermore, the naphthylene-γ is suitable to be cast into a boron- nitride configuration since it is a bipartite structure featuring only even-membered rings. It turns out BN configurations of naphthylene-γ can potentially result in systems suitable to be embedded into nanoelectronics applications since they are expected to exhibit robust band gaps. With this motivation, several hybrid systems were hypothetically proposed by replacing part of naphthylene-γ’s C atoms for BN sectors with different concentrations. It was utilized first-principles calculations based on Density Functional Theory (DFT), implemented on the SIESTA code. The naphthylene-γ has a semiconductor behavior, and theory predicts that this property is shared by its nanoribbon counterparts. The computational analysis also indicates the electronic structure of these systems is dictated by quasi-1D states due to the interplay between the system’s geometry (e.g., chirality and edge structure) and its electronic properties. The energy gap for the hybrid γ systems does not vary monotonically with increasing BN concentration. In fact, strategical choices for the sites undergoing C-to-BN substitution result in specific modifications in the electronic signature of the systems. It was also investigated full-BN naphthylene-γ sheets, which show band gaps significantly different from those of hexagonal-BN. It further investigated nanoribbons based on these BN sheets, showing that they closely follow the properties of their parent 2D structure as they feature frontier states internally located over the ribbon structures.Desde a síntese do grafeno em 2004, a busca por modificações em suas propriedades, principalmente eletrônicas, tem motivado o estudo de formas alotrópicas de carbono que diferem da simetria hexagonal, característica do grafeno. Além de modificações geométricas, uma abordagem eficaz na modulação das propriedades eletrônicas de materiais baseados em carbono consiste, desde a inserção de heteroátomos, até a composição completa da estrutura por átomos de diferentes espécies químicas, como é o caso do uso do nitreto de boro (BN). Neste trabalho, propõe-se um novo alótropo de carbono chamado naphthylene- γ, o qual é conceitualmente composto pela fusão de unidades do tipo fenil e naftil através de anéis quadrados. Geometricamente, este sistema possui largos poros, compostos por 10 e 12 átomos. Além disso, o naphthylene-γ tem a característica de possuir apenas anéis com número par de átomos, formando uma estrutura bipartida, o que o torna adequado para ser construído em uma configuração com nitreto de boro. É de se esperar que tal sistema exiba um largo gap eletrônico, podendo ser empregado em nanoeletrônica. Devido às características interessantes apresentadas pelo naphthylene-γ, também foram propostos sistemas híbridos a partir da substituição dos átomos de carbono por BN, os quais compunham os blocos básicos de construção do naphthylene-γ, com diferentes concentrações. Com o objetivo de estudar o que se propõe, utilizou-se uma abordagem de primeiros princípios, baseados na Teoria do Funcional da Densidade, implementado no programa SIESTA. Observou-se que o naphthylene-γ é um semicondutor com gap eletrônico igual a 0,12 eV. Esta propriedade é compartilhada também por suas respectivas nanofitas, cuja estrutura eletrônica é regida por estados quasi-1D a depender da geometria dos sistemas (quiralidade e estrutura das bordas). Para os sistemas γ híbridos, observou- se que o gap eletrônico não varia monotonicamente com o aumento da concentração de BN. De fato, escolhas estratégicas para as unidades substituídas por BN resultam em modificiações específicas na assinatura eletrônica dos sistemas. Além disso, sistemas completamente compostos por BN também foram investigados, chamados γ-BN (I) e γ-BN (II), e apresentaram gaps eletrônicos consideravelmente diferentes do nitreto de boro hexagonal. Nanofitas baseadas nesses sistemas BN também foram investigadas e apresentaram propriedades semelhantes ao correspondente 2D, visto que seus estados de fronteira estão localizados internamente nas estruturas das nanofitas.Submitted by Jonathan Sousa de Almeida (jonathan.sousa@ufma.br) on 2022-10-10T13:59:24Z No. of bitstreams: 1 DAVIDJOSEPHPEREIRABESERRA.pdf: 68212454 bytes, checksum: 971a1f80dc673734b7f93ef4c1e02e5f (MD5)Made available in DSpace on 2022-10-10T13:59:24Z (GMT). No. of bitstreams: 1 DAVIDJOSEPHPEREIRABESERRA.pdf: 68212454 bytes, checksum: 971a1f80dc673734b7f93ef4c1e02e5f (MD5) Previous issue date: 2022-09-27CAPESapplication/pdfporUniversidade Federal do MaranhãoPROGRAMA DE PÓS-GRADUAÇÃO EM FÍSICA/CCETUFMABrasilDEPARTAMENTO DE FÍSICA/CCETDFT;Alótropos de carbono;Sistemas BCN híbridos;Propriedades eletrônicasSemicondutores.DFT;Carbon allotrope;Hybrid BCN systems;Electronic propertiesSemi- conductors.FísicaCiências Exatas e da TerraNaphthylene−γ: proposição teórica de sistemas 1D e 2D formados por blocos fenil e naftil interligados por anéis quadrangularesNaphthylene-γ: theoretical proposition of 1D and 2D systems formed by phenyl and naphthyl blocks connected by square ringsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisinfo:eu-repo/semantics/openAccessreponame:Biblioteca Digital de Teses e Dissertações da UFMAinstname:Universidade Federal do Maranhão (UFMA)instacron:UFMAORIGINALDAVIDJOSEPHPEREIRABESERRA.pdfDAVIDJOSEPHPEREIRABESERRA.pdfapplication/pdf68212454http://tedebc.ufma.br:8080/bitstream/tede/4142/2/DAVIDJOSEPHPEREIRABESERRA.pdf971a1f80dc673734b7f93ef4c1e02e5fMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-82255http://tedebc.ufma.br:8080/bitstream/tede/4142/1/license.txt97eeade1fce43278e63fe063657f8083MD51tede/41422023-05-17 13:55:51.638oai:tede2: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Biblioteca Digital de Teses e Dissertaçõeshttps://tedebc.ufma.br/jspui/PUBhttp://tedebc.ufma.br:8080/oai/requestrepositorio@ufma.br||repositorio@ufma.bropendoar:21312023-05-17T16:55:51Biblioteca Digital de Teses e Dissertações da UFMA - Universidade Federal do Maranhão (UFMA)false
dc.title.por.fl_str_mv Naphthylene−γ: proposição teórica de sistemas 1D e 2D formados por blocos fenil e naftil interligados por anéis quadrangulares
dc.title.alternative.eng.fl_str_mv Naphthylene-γ: theoretical proposition of 1D and 2D systems formed by phenyl and naphthyl blocks connected by square rings
title Naphthylene−γ: proposição teórica de sistemas 1D e 2D formados por blocos fenil e naftil interligados por anéis quadrangulares
spellingShingle Naphthylene−γ: proposição teórica de sistemas 1D e 2D formados por blocos fenil e naftil interligados por anéis quadrangulares
BESERRA, David Joseph Pereira
DFT;
Alótropos de carbono;
Sistemas BCN híbridos;
Propriedades eletrônicas
Semicondutores.
DFT;
Carbon allotrope;
Hybrid BCN systems;
Electronic properties
Semi- conductors.
Física
Ciências Exatas e da Terra
title_short Naphthylene−γ: proposição teórica de sistemas 1D e 2D formados por blocos fenil e naftil interligados por anéis quadrangulares
title_full Naphthylene−γ: proposição teórica de sistemas 1D e 2D formados por blocos fenil e naftil interligados por anéis quadrangulares
title_fullStr Naphthylene−γ: proposição teórica de sistemas 1D e 2D formados por blocos fenil e naftil interligados por anéis quadrangulares
title_full_unstemmed Naphthylene−γ: proposição teórica de sistemas 1D e 2D formados por blocos fenil e naftil interligados por anéis quadrangulares
title_sort Naphthylene−γ: proposição teórica de sistemas 1D e 2D formados por blocos fenil e naftil interligados por anéis quadrangulares
author BESERRA, David Joseph Pereira
author_facet BESERRA, David Joseph Pereira
author_role author
dc.contributor.advisor1.fl_str_mv GUERINI, Silvete Coradi
dc.contributor.advisor1Lattes.fl_str_mv http://lattes.cnpq.br/0527275499843168
dc.contributor.advisor-co1.fl_str_mv GIRÃO, Eduardo Costa
dc.contributor.advisor-co1Lattes.fl_str_mv http://lattes.cnpq.br/8674246016323947
dc.contributor.referee1.fl_str_mv GUERINI, Silvete Coradi
dc.contributor.referee1Lattes.fl_str_mv http://lattes.cnpq.br/0527275499843168
dc.contributor.referee2.fl_str_mv GIRÃO, Eduardo Costa
dc.contributor.referee2Lattes.fl_str_mv http://lattes.cnpq.br/8674246016323947
dc.contributor.referee3.fl_str_mv GARGANO, Ricardo
dc.contributor.referee3Lattes.fl_str_mv http://lattes.cnpq.br/6682074601211769
dc.contributor.referee4.fl_str_mv AZEVEDO, Sérgio André Fontes
dc.contributor.referee4Lattes.fl_str_mv http://lattes.cnpq.br/2195090548621158
dc.contributor.referee5.fl_str_mv SANTOS, Clenilton Costa dos
dc.contributor.referee5Lattes.fl_str_mv http://lattes.cnpq.br/9192468880980905
dc.contributor.authorLattes.fl_str_mv http://lattes.cnpq.br/0958192100273892
dc.contributor.author.fl_str_mv BESERRA, David Joseph Pereira
contributor_str_mv GUERINI, Silvete Coradi
GIRÃO, Eduardo Costa
GUERINI, Silvete Coradi
GIRÃO, Eduardo Costa
GARGANO, Ricardo
AZEVEDO, Sérgio André Fontes
SANTOS, Clenilton Costa dos
dc.subject.por.fl_str_mv DFT;
Alótropos de carbono;
Sistemas BCN híbridos;
Propriedades eletrônicas
Semicondutores.
topic DFT;
Alótropos de carbono;
Sistemas BCN híbridos;
Propriedades eletrônicas
Semicondutores.
DFT;
Carbon allotrope;
Hybrid BCN systems;
Electronic properties
Semi- conductors.
Física
Ciências Exatas e da Terra
dc.subject.eng.fl_str_mv DFT;
Carbon allotrope;
Hybrid BCN systems;
Electronic properties
Semi- conductors.
dc.subject.cnpq.fl_str_mv Física
Ciências Exatas e da Terra
description Since synthesizing graphene in 2004, the search for modification in its properties, specialty the electronic one, has motivated the study of carbon allotropes with different symmetries that disrupt the graphene’s traditional honeycomb lattice. In addition to the geometric modifications, an efficient approach to tune the electronic properties of carbon-based materials is, since heteroatom insertion, to a complete system composed of another chemical species, like boron nitride, or simply BN. From a fundamental point of view, boron and nitrogen have deficiency and excess of one valence electron relative to carbon, and they have similar atomic radii. Here, a new carbon allotrope is proposed. It is named the naphthylene-γ, which is theoretically constructed by combining phenyl-like (P) and naphthyl-like (N) blocks joined by 4-membered links, resulting in a system with large 10- and 12-ring pores. Furthermore, the naphthylene-γ is suitable to be cast into a boron- nitride configuration since it is a bipartite structure featuring only even-membered rings. It turns out BN configurations of naphthylene-γ can potentially result in systems suitable to be embedded into nanoelectronics applications since they are expected to exhibit robust band gaps. With this motivation, several hybrid systems were hypothetically proposed by replacing part of naphthylene-γ’s C atoms for BN sectors with different concentrations. It was utilized first-principles calculations based on Density Functional Theory (DFT), implemented on the SIESTA code. The naphthylene-γ has a semiconductor behavior, and theory predicts that this property is shared by its nanoribbon counterparts. The computational analysis also indicates the electronic structure of these systems is dictated by quasi-1D states due to the interplay between the system’s geometry (e.g., chirality and edge structure) and its electronic properties. The energy gap for the hybrid γ systems does not vary monotonically with increasing BN concentration. In fact, strategical choices for the sites undergoing C-to-BN substitution result in specific modifications in the electronic signature of the systems. It was also investigated full-BN naphthylene-γ sheets, which show band gaps significantly different from those of hexagonal-BN. It further investigated nanoribbons based on these BN sheets, showing that they closely follow the properties of their parent 2D structure as they feature frontier states internally located over the ribbon structures.
publishDate 2022
dc.date.accessioned.fl_str_mv 2022-10-10T13:59:24Z
dc.date.issued.fl_str_mv 2022-09-27
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/doctoralThesis
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dc.identifier.citation.fl_str_mv BESERRA, David Joseph Pereira. Naphthylene−γ: proposição teórica de sistemas 1D e 2D formados por blocos fenil e naftil interligados por anéis quadrangulares. 2022. 132 f. Tese (Programa de Pós-Graduação em Física/CCET) - Universidade Federal do Maranhão, São Luís, 2022.
dc.identifier.uri.fl_str_mv https://tedebc.ufma.br/jspui/handle/tede/tede/4142
identifier_str_mv BESERRA, David Joseph Pereira. Naphthylene−γ: proposição teórica de sistemas 1D e 2D formados por blocos fenil e naftil interligados por anéis quadrangulares. 2022. 132 f. Tese (Programa de Pós-Graduação em Física/CCET) - Universidade Federal do Maranhão, São Luís, 2022.
url https://tedebc.ufma.br/jspui/handle/tede/tede/4142
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dc.publisher.none.fl_str_mv Universidade Federal do Maranhão
dc.publisher.program.fl_str_mv PROGRAMA DE PÓS-GRADUAÇÃO EM FÍSICA/CCET
dc.publisher.initials.fl_str_mv UFMA
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv DEPARTAMENTO DE FÍSICA/CCET
publisher.none.fl_str_mv Universidade Federal do Maranhão
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