Confusion Over Same Energy Level Transitions

  • Thread starter LMarie
  • Start date
  • #1
2
0

Homework Statement


This is more of an understanding issue than a homework problem, but if I don't understand, I can't prepare for homework. With regard to energy level transitions, the text states almost as an afterthought that "Transitions between the same energy levels always produce the same frequency emission. The frequency is the cause of visible color." And, that's ALL it states about that issue...end of story.

First, I never considered same energy-level transitions. I understand transitions above then back to ground state. In transitions to the same energy level, does the electron gain only enough energy to jump to a degenerate orbital? Are they using the term "color" loosely? If I use the same energy level in n and n', Rydberg gives me zilch when calculating wavelength. If a photon is released, there must be a wavelength. How is it determined and why would the frequency emission be the same in every single case of same energy level transitions? I feel like I've totally missed the boat after those two "oh-by-the-way" type sentences.


Homework Equations


1/l = R [(1/n'^2)-(1/n^2)] although I don't think this equation will apply here.


The Attempt at a Solution


I don't understand the text itself, so I don't have an explanation. I'm looking for the explanation as to how a same energy level transition occurs and how a frequency would be generated. I'm assuming the e- absorbs a little energy, but not enough to throw it into a higher E level, and when that energy is released, a photon is emitted, but why are all those absorbed energies assumed to be the same in order for them to generate the exact same frequency in every case as the text states? How would one calculate a wavelength?

Thanks in advance for your assistance.
 

Answers and Replies

  • #2
Orodruin
Staff Emeritus
Science Advisor
Homework Helper
Insights Author
Gold Member
17,308
7,150
I think this is a case of unfortunate wording and that what is intended is to say that transitions between two given energy states always results in same frequency. "The same" then refers to the fixing of the states rather than the states being degenerate.
 
  • #3
2
0
That's my brain! It's like a ball of yarn in there. Thank you so much for that clarification. I apologize for my misunderstanding.
 

Related Threads on Confusion Over Same Energy Level Transitions

  • Last Post
Replies
0
Views
2K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
1
Views
3K
  • Last Post
Replies
4
Views
6K
  • Last Post
Replies
5
Views
904
  • Last Post
Replies
4
Views
5K
Replies
1
Views
613
Replies
14
Views
4K
Replies
1
Views
2K
Top