Light & Electron Energy: Comparing Quantized Energies

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SUMMARY

This discussion centers on the quantization of electron energy levels and the nature of photon energies. Electrons can only transition between specific energy levels without intermediary states, similar to how photons interact with matter. While photons can possess a continuous range of energies, they are emitted in discrete amounts corresponding to specific atomic transitions. The conversation also touches on gravitational redshift and the implications for understanding cosmic microwave background (CMB) radiation.

PREREQUISITES
  • Understanding of quantum mechanics principles, specifically quantized energy levels.
  • Familiarity with the concept of photons and their role in electromagnetic radiation.
  • Knowledge of atomic transitions and how they relate to light emission.
  • Basic grasp of gravitational redshift and its effects on photon energy.
NEXT STEPS
  • Research the principles of quantum mechanics related to electron energy shells.
  • Study the relationship between photon energy and frequency, including Planck's equation.
  • Explore the concept of gravitational redshift and its implications in astrophysics.
  • Investigate the cosmic microwave background (CMB) and its significance in cosmology.
USEFUL FOR

Students and professionals in physics, particularly those interested in quantum mechanics, astrophysics, and the nature of light and energy interactions.

Gabriel Hoshino
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I was reading a section of a chemistry textbook describing electron energy shells. It compares the electrons to light saying that electrons energies are quantized and so are light energies. Electrons can only jump from one specific energy level to another with no intermediary energy levels. I understand that the same is true for the intensity of light, but I still don't understand how the energy of a photon can have only specific amounts of energy like an electron. Aren't there an infinite number of intermediary frequencies in between two frequencies of light? If that is true than doesn't that mean that the energy of photons doesn't skip around like the energy of electrons? Thanks.
 
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When light of a particular frequency interacts with anything, it transfers its energy in discrete amounts that are proportional to that frequency. We call this discrete chunks "photons".
 
But can photons have any energy, or are they like electrons where they can only skip between energy states?
 
In general, photons can have any energy. The light emitted by an incandescent light bulb contains photons with a continuous range of energies. Photons that are emitted by transitions between atomic energy levels in a specific type of atom (e.g. in a gas-discharge tube) can have only energies that equal the difference between two of the energy levels.
 
Gabriel Hoshino said:
But can photons have any energy, or are they like electrons where they can only skip between energy states?

Any given photon has only one energy (setting aside for now the phenomenon of gravitational redshift). You can absorb it and then emit another photon with a different energy, but you can't just change the energy of the same photon.

(I should add that we're on very shaky ground even talking about "the same photon" - these aren't like little teeny grains of sand with a distinct existence of their own)
 
Nugatory said:
You can absorb it and then emit another photon with a different energy, but you can't just change the energy of the same photon.

That is what I thought too, but the Wikipedia article on CMB says, "The photons that existed at the time of photon decoupling have been propagating ever since, though growing fainter and less energetic, since the expansion of space causes their wavelength to increase over time". I have been having trouble understanding the CMB on a per photon basis.
 
anorlunda said:
That is what I thought too, but the Wikipedia article on CMB says...

That's one of the gravitational red shift cases that I didn't want to mess with. :)

In fact, that wikipedia article might be improved if it didn't use the word "photon" in that context, just spoke of radiation propagating outwards and being redshifted.
 
Awesome, thanks for all of your responses!
 

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