Revisiting Angular Momentum Quantization in Bohr's Atomic Model

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...

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Main Authors: Jorge Henrique de Oliveira Sales, Alfredo Takashi Suzuki
Format: Article
Language:English
Published: Universidade Federal de Viçosa (UFV) 2022-03-01
Series:The Journal of Engineering and Exact Sciences
Subjects:
Online Access:https://periodicos.ufv.br/jcec/article/view/13960
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author Jorge Henrique de Oliveira Sales
Alfredo Takashi Suzuki
author_facet Jorge Henrique de Oliveira Sales
Alfredo Takashi Suzuki
author_sort Jorge Henrique de Oliveira Sales
collection DOAJ
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.  
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publisher Universidade Federal de Viçosa (UFV)
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series The Journal of Engineering and Exact Sciences
spelling doaj-art-7474c98baabb4e5888c766042ba2f05e2025-02-02T19:56:38ZengUniversidade Federal de Viçosa (UFV)The Journal of Engineering and Exact Sciences2527-10752022-03-018110.18540/jcecvl8iss1pp13960-01eRevisiting Angular Momentum Quantization in Bohr's Atomic ModelJorge Henrique de Oliveira SalesAlfredo Takashi Suzuki0La Sierra University, Physics Department 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.   https://periodicos.ufv.br/jcec/article/view/13960AtomQuantizationAngular Momentum
spellingShingle Jorge Henrique de Oliveira Sales
Alfredo Takashi Suzuki
Revisiting Angular Momentum Quantization in Bohr's Atomic Model
The Journal of Engineering and Exact Sciences
Atom
Quantization
Angular Momentum
title 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_short Revisiting Angular Momentum Quantization in Bohr's Atomic Model
title_sort revisiting angular momentum quantization in bohr s atomic model
topic Atom
Quantization
Angular Momentum
url https://periodicos.ufv.br/jcec/article/view/13960
work_keys_str_mv AT jorgehenriquedeoliveirasales revisitingangularmomentumquantizationinbohrsatomicmodel
AT alfredotakashisuzuki revisitingangularmomentumquantizationinbohrsatomicmodel