Revisiting Angular Momentum Quantization in Bohr's Atomic Model
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | |
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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Revista de Engenharia Química e Química |
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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 |
_version_ |
1800211190168682496 |