Understanding the Fixed Energy of Electrons in Bohr's Orbit

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Discussion Overview

The discussion revolves around the fixed energy of electrons in Bohr's atomic model and the implications of this model compared to Rutherford's theory. Participants explore the concept of electron stability in fixed orbits, the nature of electron velocity in circular motion, and the limitations of Bohr's model in explaining why electrons do not radiate energy or fall into the nucleus.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • Some participants express confusion about how electrons in fixed orbits can have fixed energy without radiating energy, given that they are continuously accelerating.
  • There is a suggestion that Rutherford's theory was incomplete due to the lack of the concept of fixed orbits, which Bohr purportedly addressed.
  • One participant questions how Bohr's model improves upon Rutherford's, noting that it seems to add only the concept of fixed energy orbits.
  • Another participant argues that Bohr's model does not adequately explain why electrons do not fall into the nucleus, stating that it merely assumes the existence of stable orbits.
  • Some participants discuss the limitations of Bohr's model, suggesting that it does not truly explain the stability of atoms, despite textbooks claiming it does.
  • There is a mention of Bohr's assumption regarding orbital angular momentum being quantized, but it is noted that this assumption lacks a solid explanation and is not entirely accurate.
  • One participant emphasizes that Bohr's model should be viewed as an early step towards modern quantum theory rather than a definitive explanation of atomic structure.

Areas of Agreement / Disagreement

Participants express differing views on the effectiveness of Bohr's model in explaining atomic stability and the nature of electron behavior. There is no consensus on whether Bohr's model successfully overcomes the limitations of Rutherford's theory.

Contextual Notes

Participants highlight the lack of explanation for certain assumptions in Bohr's model, such as the nature of stable orbits and the quantization of angular momentum. The discussion reflects ongoing uncertainties and debates regarding the foundational aspects of atomic theory.

harman90
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After Doing lot of research, I still am Unable To Understand,
How a Electron in Fixed orbit (with fixed energy) is not radiating energy as it is continuously accelerating.

According to my Book, Rutherford only missed "Fixed orbit" word in his theory?

Moreover, Speed of electron is described as Velocity, which is constant. how a velocity of a body moving in circular body can be constant?
 
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harman90 said:
After Doing lot of research, I still am Unable To Understand,
How a Electron in Fixed orbit (with fixed energy) is not radiating energy as it is continuously accelerating.

According to my Book, Rutherford only missed "Fixed orbit" word in his theory?

Moreover, Speed of electron is described as Velocity, which is constant. how a velocity of a body moving in circular body can be constant?

Welcome to the PF.

Your question is addressed in the 3rd item in the Physics FAQ that is pinned at the top of this General Physics forum:

https://www.physicsforums.com/threads/why-dont-electrons-crash-into-the-nucleus-in-atoms.511179/

Read through that to see if it helps you to better understand the issues. :smile:
 
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Thank you Very much, well it explains "WHY DON’T ELECTRONS CRASH INTO THE NUCLEUS" which obviously wasnt clear till Bohr,

But my question is HOW bohr atomic theory overcome the Limitation of Rutherfordwhen He actually said the same thing (what Rutherford did) with 3 extra words (fixed energy orbit)
 
Bohr's model did not explain why the electron does not fall into the nucleus. Bohr just assumed that some orbits would be stable, without explanation. Quantum mechanics later gave a reasonable answer.
 
Thank you for the reply. For that to be True, I guess It should have been one of the Biggest Limitation of Bohr Model, Instead All textbooks Mention "bohr model successfully explained the stability of the atom" (which i fail to understand how)
 
It does not "explain" the stability. It gives some good argument why the energy levels could be as they are - in hydrogen and hydrogen-like atoms.
 
Bohr "explained" the discrete energy levels by assuming that the orbital angular momentum is an integer multiple of ##\hbar##: ##L = n\hbar##. However, he didn't really explain why this might be true, and it isn't really true anyway: the magnitude of the orbital angular momentum is actually ##L = \sqrt{l(l+1)} \hbar##, where l is an integer that can have values of 0,...,n. That is, for a given value of n (energy level), there are usually multiple possible values of l. This can be derived by solving Schrödinger's equation which came along later.

You should not attach any more importance to Bohr's model than that it was the first crude step towards the modern quantum theory of the atom, which took shape about ten years later.
 
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