Revisiting Angular Momentum Quantization in Bohr's Atomic Model

Detalhes bibliográficos
Autor(a) principal: Sales, Jorge Henrique de Oliveira
Data de Publicação: 2022
Outros Autores: Suzuki, Alfredo Takashi
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Revista de Engenharia Química e Química
Texto Completo: https://periodicos.ufv.br/jcec/article/view/13960
Resumo: One of the most important developments of modern science was the emergence of the concept of energy quantization which forced its way into our previous classical understanding of matter in nature. Modern day view of matter constituents and present understanding of atomic structure basic to quantum chemistry arose in those first decades of last century. In this line, a key feature for the understanding of microscopic atomic structures and their stability was the concept of angular momentum quantization. To capture the beauty and the power of these concepts is therefore extremely relevant for apprehending the contemporary view of matter, energy and interactions in nature. In this work we present a possible alternative approach of quantizing the atomic orbit for the hydrogen's atom model proposed by Bohr without using his hypothesis of angular momentum quantization from the start. In our approach here we show that when we identify the number of photons and the quantum number for the orbit, we are led to Bohr's hypothesis as a consequence of the Planck's energy quantization.  
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spelling Revisiting Angular Momentum Quantization in Bohr's Atomic ModelRevisitando a Quantização do Momento Angular do Modelo de BohrAtomQuantizationAngular MomentumÁtomo, Quantização, Momento Angular.One of the most important developments of modern science was the emergence of the concept of energy quantization which forced its way into our previous classical understanding of matter in nature. Modern day view of matter constituents and present understanding of atomic structure basic to quantum chemistry arose in those first decades of last century. In this line, a key feature for the understanding of microscopic atomic structures and their stability was the concept of angular momentum quantization. To capture the beauty and the power of these concepts is therefore extremely relevant for apprehending the contemporary view of matter, energy and interactions in nature. In this work we present a possible alternative approach of quantizing the atomic orbit for the hydrogen's atom model proposed by Bohr without using his hypothesis of angular momentum quantization from the start. In our approach here we show that when we identify the number of photons and the quantum number for the orbit, we are led to Bohr's hypothesis as a consequence of the Planck's energy quantization.  Um dos desenvolvimentos mais importantes da ciência moderna foi o surgimento do conceito de quantização da energia que mudou nossa compreensão clássica da natureza da matéria. A visão moderna dos constituintes da matéria e a compreensão atual da estrutura atômica básica para a química quântica surgiram naquelas primeiras décadas do século passado. Nessa linha, uma característica fundamental para o entendimento das estruturas atômicas microscópicas e sua estabilidade foi o conceito de quantização do momento angular. Da beleza e do poder desses conceitos é extremamente relevante apreender a visão contemporânea da matéria, energia e interações na natureza. Neste trabalho apresentamos uma  abordagem alternativa de quantização da órbita atômica para o modelo do átomo de hidrogênio proposto por Bohr sem usar sua hipótese de quantização do momento angular. Em nossa abordagem mostramos que quando identificamos o número de fótons e o número quântico orbital, somos levados à hipótese de Bohr como consequência da quantização de energia de Planck.Universidade Federal de Viçosa - UFV2022-03-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://periodicos.ufv.br/jcec/article/view/1396010.18540/jcecvl8iss1pp13960-01eThe Journal of Engineering and Exact Sciences; Vol. 8 No. 1 (2022); 13960-01eThe Journal of Engineering and Exact Sciences; Vol. 8 Núm. 1 (2022); 13960-01eThe Journal of Engineering and Exact Sciences; v. 8 n. 1 (2022); 13960-01e2527-1075reponame:Revista de Engenharia Química e Químicainstname:Universidade Federal de Viçosa (UFV)instacron:UFVenghttps://periodicos.ufv.br/jcec/article/view/13960/7199Copyright (c) 2022 The Journal of Engineering and Exact Scienceshttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessSales, Jorge Henrique de Oliveira Suzuki, Alfredo Takashi2022-03-07T14:46:09Zoai:ojs.periodicos.ufv.br:article/13960Revistahttp://www.seer.ufv.br/seer/rbeq2/index.php/req2/indexONGhttps://periodicos.ufv.br/jcec/oaijcec.journal@ufv.br||req2@ufv.br2446-94162446-9416opendoar:2022-03-07T14:46:09Revista de Engenharia Química e Química - Universidade Federal de Viçosa (UFV)false
dc.title.none.fl_str_mv Revisiting Angular Momentum Quantization in Bohr's Atomic Model
Revisitando a Quantização do Momento Angular do Modelo de Bohr
title Revisiting Angular Momentum Quantization in Bohr's Atomic Model
spellingShingle Revisiting Angular Momentum Quantization in Bohr's Atomic Model
Sales, Jorge Henrique de Oliveira
Atom
Quantization
Angular Momentum
Átomo, Quantização, Momento Angular.
title_short Revisiting Angular Momentum Quantization in Bohr's Atomic Model
title_full Revisiting Angular Momentum Quantization in Bohr's Atomic Model
title_fullStr Revisiting Angular Momentum Quantization in Bohr's Atomic Model
title_full_unstemmed Revisiting Angular Momentum Quantization in Bohr's Atomic Model
title_sort Revisiting Angular Momentum Quantization in Bohr's Atomic Model
author Sales, Jorge Henrique de Oliveira
author_facet Sales, Jorge Henrique de Oliveira
Suzuki, Alfredo Takashi
author_role author
author2 Suzuki, Alfredo Takashi
author2_role author
dc.contributor.author.fl_str_mv Sales, Jorge Henrique de Oliveira
Suzuki, Alfredo Takashi
dc.subject.por.fl_str_mv Atom
Quantization
Angular Momentum
Átomo, Quantização, Momento Angular.
topic Atom
Quantization
Angular Momentum
Átomo, Quantização, Momento Angular.
description One of the most important developments of modern science was the emergence of the concept of energy quantization which forced its way into our previous classical understanding of matter in nature. Modern day view of matter constituents and present understanding of atomic structure basic to quantum chemistry arose in those first decades of last century. In this line, a key feature for the understanding of microscopic atomic structures and their stability was the concept of angular momentum quantization. To capture the beauty and the power of these concepts is therefore extremely relevant for apprehending the contemporary view of matter, energy and interactions in nature. In this work we present a possible alternative approach of quantizing the atomic orbit for the hydrogen's atom model proposed by Bohr without using his hypothesis of angular momentum quantization from the start. In our approach here we show that when we identify the number of photons and the quantum number for the orbit, we are led to Bohr's hypothesis as a consequence of the Planck's energy quantization.  
publishDate 2022
dc.date.none.fl_str_mv 2022-03-07
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://periodicos.ufv.br/jcec/article/view/13960
10.18540/jcecvl8iss1pp13960-01e
url https://periodicos.ufv.br/jcec/article/view/13960
identifier_str_mv 10.18540/jcecvl8iss1pp13960-01e
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://periodicos.ufv.br/jcec/article/view/13960/7199
dc.rights.driver.fl_str_mv Copyright (c) 2022 The Journal of Engineering and Exact Sciences
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2022 The Journal of Engineering and Exact Sciences
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Viçosa - UFV
publisher.none.fl_str_mv Universidade Federal de Viçosa - UFV
dc.source.none.fl_str_mv The Journal of Engineering and Exact Sciences; Vol. 8 No. 1 (2022); 13960-01e
The Journal of Engineering and Exact Sciences; Vol. 8 Núm. 1 (2022); 13960-01e
The Journal of Engineering and Exact Sciences; v. 8 n. 1 (2022); 13960-01e
2527-1075
reponame:Revista de Engenharia Química e Química
instname:Universidade Federal de Viçosa (UFV)
instacron:UFV
instname_str Universidade Federal de Viçosa (UFV)
instacron_str UFV
institution UFV
reponame_str Revista de Engenharia Química e Química
collection Revista de Engenharia Química e Química
repository.name.fl_str_mv Revista de Engenharia Química e Química - Universidade Federal de Viçosa (UFV)
repository.mail.fl_str_mv jcec.journal@ufv.br||req2@ufv.br
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