Show, using directional arrows, which transition corresponds to

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In summary, the energy transitions correspond to yellow light and blue light, respectively, based on the equation that relates photon energy to wavelength.
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IntegrateMe
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Show, using directional arrows, which transition corresponds to...

An energy level diagram is provided. Show, using directional arrows, which transition corresponds to the yellow light and which transition corresponds to the blue light.

http://i.imgur.com/Dv670.jpg?1

I'm not really sure how I'm to go about doing this. How do I know which energy transition corresponds to yellow light and which energy transition corresponds to blue light? Like, 3 to 1 corresponds to yellow and 2 to 1 corresponds to blue?

Please help!
 
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  • #2


IntegrateMe said:
An energy level diagram is provided. Show, using directional arrows, which transition corresponds to the yellow light and which transition corresponds to the blue light.

http://i.imgur.com/Dv670.jpg?1

I'm not really sure how I'm to go about doing this. How do I know which energy transition corresponds to yellow light and which energy transition corresponds to blue light? Like, 3 to 1 corresponds to yellow and 2 to 1 corresponds to blue?

Please help!

Which photon has more energy? A blue one or a yellow one? Do you know the equation that relates the photon's energy to its wavelength?
 
  • #3


Yes, I know blue light has more energy than yellow light. Does that mean that for blue light, the arrow would be drawn from 3 to 1, and for yellow light from 2 to 1?
 
  • #4


IntegrateMe said:
Yes, I know blue light has more energy than yellow light. Does that mean that for blue light, the arrow would be drawn from 3 to 1, and for yellow light from 2 to 1?

I believe that is correct. You should check to see what the ratio of the wavelengths is for blue versus yellow light, to see if that matches the ratio of those two transitions. It's possible that the yellow light might be a 3-->2 transition, but you should be able to figure that out from the ratio of the wavelengths.
 
  • #5


Thank you!
 
  • #6


Sorry, let's say the wavelengths of the yellow and blue lights, respectively, are:

610 nm and 390 nm

How would I determine where the arrows are drawn using the ratio of these numbers?
 
  • #7


IntegrateMe said:
Sorry, let's say the wavelengths of the yellow and blue lights, respectively, are:

610 nm and 390 nm

How would I determine where the arrows are drawn using the ratio of these numbers?

The energy is proportional to frequency, right? So the ratio of the frequencies (or the inverse of the ratio of the wavelengths) should equal the ratio of the two arrows you draw for the transitions that generate these photons...

EDIT -- "equal the ratio of the lengths of the two arrows..."
 
  • #8


So the blue arrow should be 1.5 times the length of the yellow arrow? So I would draw blue from 3 to 1 and yellow from 1.5 to 1?
 
  • #9


IntegrateMe said:
So the blue arrow should be 1.5 times the length of the yellow arrow? So I would draw blue from 3 to 1 and yellow from 1.5 to 1?

The energy transitions need to start and end on those lines, so I'm guessing 3-->1 and 2-->1. They may not have been as careful as they should have been in drawing the diagram to scale. Your two choices for the yellow photon transition would be 3-->2 or 2-->1. Which one comes closer to giving you the right ratio? Also, double check the values for the wavelengths of the two colors just to be sure.
 
  • #10


This is a 3 part problem, and I pulled the wavelengths directly from the printed text on the page. Just double checked and their right.

Well, if the energy ratio is ~1.6:1, that means the blue arrow should be ~0.6*yellow arrow. So that small gap is supposed to represent the 0.6, which means we should draw blue from 3 to 1 and yellow from 2 to 1?
 
  • #11


IntegrateMe said:
This is a 3 part problem, and I pulled the wavelengths directly from the printed text on the page. Just double checked and their right.

Well, if the energy ratio is ~1.6:1, that means the blue arrow should be ~0.6*yellow arrow. So that small gap is supposed to represent the 0.6, which means we should draw blue from 3 to 1 and yellow from 2 to 1?

Yes, I believe so -- that is the best fit to the figure.
 
  • #12


Thank you again!
 

FAQ: Show, using directional arrows, which transition corresponds to

What does the directional arrow indicate?

The directional arrow indicates the direction of the transition, whether it is moving from one state to another or looping back to the same state.

How do I know which transition corresponds to the directional arrow?

The corresponding transition is typically labeled on the arrow, indicating the name or event that triggers the transition.

What is the purpose of showing transitions with directional arrows?

Showing transitions with directional arrows helps to visually represent the flow and logic of a system or process, making it easier to understand and analyze.

Can directional arrows only be used for one type of transition?

No, directional arrows can be used for a variety of transitions, including state changes, conditional transitions, and event-driven transitions.

Are there any specific rules for how directional arrows should be used in diagrams?

There are no set rules for directional arrows, but it is important to ensure that they are clear and consistent in their representation of transitions.

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