How did Bohr come up with his model before De Broglie?

In summary, the Bohr model did not originally use standing waves as a reference and instead explained the discrete energy levels of hydrogen through the quantization of orbital angular momentum. This idea was later generalized to the quantization of the action integral, but it eventually lost popularity due to inconsistencies with experiments. However, this led to the development of the de Broglie equation, which connects quantum mechanics and relativity.
  • #1
Lamarr
52
1
Doesn't the Bohr model use standing waves as a reference? Before De Broglie's hypothesis, how did Bohr manage to assume that electrons are waves?
 
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  • #2
Lamarr said:
Doesn't the Bohr model use standing waves as a reference?

No.

Before De Broglie's hypothesis, how did Bohr manage to assume that electrons are waves?

He didn't. His original model of 1915 or thereabouts did not use waves at all in describing the hydrogen atom's electrons, as far as I know.

Bohr "explained" hydrogen's discrete energy levels by assuming that the electron's orbital angular momentum is quantized: ##L = mvr = n \hbar##. This of course begs the question, "why is L quantized?" The Bohr-Sommerfeld model generalized the quantization of L to the quantization of the "action integral", which allows for both circular and elliptical orbits. But this line of thought soon petered out because of inconsistency with various experiments. See the Wikipedia article on the Bohr model for a bit about this. For more, see for example the textbook by Eisberg & Resnick.
 
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  • #3
ah makes perfect sense, and fits in very nicely with de broglie's equation, which is based on Planck's eqn and relativistic momentum.

Now i see how QM and Relativity come together. Thanks.
 

Related to How did Bohr come up with his model before De Broglie?

1. How did Bohr come up with his model before De Broglie?

Bohr's model of the atom, also known as the planetary model, was proposed in 1913. At this time, Louis de Broglie's theory of wave-particle duality was not yet developed. Therefore, Bohr's model was based on classical physics and did not incorporate the wave-like behavior of particles.

2. What was the inspiration behind Bohr's model?

Bohr's model was inspired by Ernest Rutherford's nuclear model of the atom. Rutherford's experiments showed that atoms have a small, dense, positively charged nucleus at the center, with negatively charged electrons orbiting around it. Bohr modified this model by proposing that electrons can only exist in specific energy levels and can jump between these levels by absorbing or emitting energy.

3. Did Bohr's model accurately describe the behavior of atoms?

Bohr's model was a significant improvement over previous models, but it had some limitations. It could only accurately describe the behavior of single-electron atoms, such as hydrogen. It could not explain the behavior of more complex atoms with multiple electrons.

4. How did Bohr's model change after De Broglie's theory was developed?

After De Broglie's theory was developed, Bohr's model was modified to incorporate the wave nature of particles. This resulted in the development of the Bohr-Sommerfeld model, which introduced the concept of electron orbits as standing waves. This model was still based on classical physics, but it was able to explain the behavior of multi-electron atoms.

5. Did Bohr and De Broglie work together on the model of the atom?

No, Bohr and De Broglie did not work together on the model of the atom. De Broglie's theory of wave-particle duality was not known to Bohr when he proposed his model. However, De Broglie's theory was later incorporated into Bohr's model, resulting in a more accurate understanding of the behavior of atoms.

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