Linked Questions

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1answer
409 views

Why can't an energy level exist containing 0.9 electron wave wavelengths? Why must it be a whole number? [duplicate]

So, I was reading Atom: Journey Across The Subatomic Cosmos by Isaac Asimov in order to better understand quantum mechanics when I came across this sentence: The electron couldn't spiral into the ...
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1answer
49 views

Why do we rule out orbits with non-constructive interference for the atom? [duplicate]

It is said that de Broglie explained the quantization of Bohr's orbitals with the idea of the "matter wave" of the electron being forced to have orbits where it can interfere constructively ...
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0answers
62 views

Bohr’s Quantisation Condition [duplicate]

I am a grade 12 student from India and my physics textbook does not delve deep in the bohrs quantisation condition but has given us a paragraph to figure out what it is: “Consider Motion of an ...
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0answers
19 views

Understanding the formula $2\pi r=n\lambda$ [duplicate]

In my book this formula: $$2\pi r=n\lambda$$ is mentioned only. However, its derivation or explanation has not been given. They only said, "So, the circumference of the circular path with radius $...
15
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1answer
5k views

Bohr-Sommerfeld quantization condition from the WKB approximation

How can one prove the Bohr-Sommerfeld quantization condition $$ \oint p~dq ~=~2\pi n \hbar $$ from the WKB ansatz solution $$\Psi(x)~=~e^{iS(x)/ \hbar}$$ for the Schroedinger equation? With $S$ the ...
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3answers
803 views

If Bohr model is outdated and we know that there is no such thing as an "electron orbital circumference" then how is $2\pi r=n\lambda$ still valid?

We know that Bohr model is outdated and we know that there is no such thing as an "electron orbital circumference" then how is $2\pi r=n\lambda$ still valid? Edit : If the electrons for higher ...
2
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1answer
2k views

de Broglie's Hypothesis and the Stability of Electron Orbits

How does de Broglie's hypothesis explain the stability of electron orbits in Bohr's atom? How does making them standing waves mean the electrons don't accelerate any more and don't emit radiation? I ...
4
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2answers
250 views

Orbital wave functions and probability density - interpretation issue

The chronology in which concepts are taught in university physics classes I feel sets students up to have to "unlearn" some earlier concepts in order to grasp new ones, and I think it's why I'm stuck ...
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1answer
143 views

Is second postulate of Bohr's theory only for hydrogen?

So I was wondering that atomic spectrum for each element is different.This implies that wavelength of electron which is given by $\lambda= \frac{nh}{2\pi}$ (according to Bohr's theory). Also $n$ ...
1
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1answer
88 views

Why does a stable orbit of $H$ atom contain an integer number of de Broglie wavelengths? [duplicate]

I was trying to understand why a stable orbit of a hydrogen atom has to satisfy that the orbit length must be a multiple of de Broglie wavelength. I have seen some related questions like This. But ...