Why Six Lines in the Emission Spectrum?

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Discussion Overview

The discussion revolves around the emission spectrum of hydrogen, specifically addressing why six lines are observed when electrons transition from the third excited energy level back to the ground state. Participants explore the implications of energy levels, transitions, and selection rules in the context of the spectrum.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant notes that six lines can be observed in the emission spectrum when electrons relax from the third excited state to the ground state, questioning the reasoning behind this number.
  • Another participant suggests reviewing selection rules to understand the transitions better.
  • There is a discussion about the possible transitions from the third excited state, with some participants indicating that there are three states below it, leading to confusion about whether only three lines should be visible.
  • One participant mentions that the solution in their practice final states there are six lines, despite their reasoning suggesting only three transitions to the ground state.
  • Another participant points out that transitions can also occur between excited states, not just from excited states to the ground state.
  • Participants reference different series of emission lines (Lyman, Balmer, Paschen) and their corresponding transitions, indicating a complex structure to the emission spectrum.

Areas of Agreement / Disagreement

Participants express uncertainty regarding the number of visible lines in the spectrum, with some supporting the idea of three lines based on direct transitions to the ground state, while others reference the practice final's assertion of six lines. The discussion remains unresolved with competing views on the correct interpretation of the transitions.

Contextual Notes

There is a lack of clarity regarding the selection rules and the specific transitions that lead to the observed lines in the spectrum. Participants also highlight the limited coverage of this topic in their textbooks, which may contribute to the confusion.

firyace
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A sample of hydrogen gas absorbed sufficient energy to make the electrons jump to the 3rd excited energy level. It is said that 6 lines can be observed in the complete emmission spectrum as the atoms relax back to ground state.

But why six though?

When I check a diagrm of the spectrum, it will have infinity of spectrums, and 1-5 will be visible, while the sixth one visible is the last line, the infinity line. However is my line of thought correct? Because it only states that the electrons jump to the 3rd electron level and the atom relaxes back to ground state, so I thought it suppose to be 3 visible lines then.

I am really confuse now !
Please help!

Thanks in advance
 
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Read about selection rules in your text.
 
From the 'third' excited state, what are the possible transitions? Note that there are two excited states, and the ground state at lower energies.
 
Thanks for the reply,

Read about selection rules in your text.

I have checked my textbook, and it rarely talked about this spectrum (1page out of 1123 pages). And this question I got it from my practice final, from which the answer said it was six.

From the 'third' excited state, what are the possible transitions? Note that there are two excited states, and the ground state at lower energies.

Yeah, i was thinking about that too, and then it should be three then, right?
But the solution in the practice final says it was six.

Many thanks for the reply guys!
 
firyace said:
Yeah, i was thinking about that too, and then it should be three then, right?
But the solution in the practice final says it was six.
There are three states below the 'third' excited state.

Denote 0 as ground state, and 1, 2, 3 as excited states. There are three possible de-excitations to ground state - so that's 3.

What are the other possibilities? Each excited state represents an energy level.
 
There are three states below the 'third' excited state.

Denote 0 as ground state, and 1, 2, 3 as excited states. There are three possible de-excitations to ground state - so that's 3.

What are the other possibilities? Each excited state represents an energy level.

So then, do you count the excited state as one and de-exitications as another?

Thanks
 
Transitions can occur between excited states - e.g. 3-2 - in addition from excited to ground.

The spectrum of hydrogen has different groups of emission/absorption lines, including Lyman (UV), Balmer (visible) and Paschen (infrared)
http://hyperphysics.phy-astr.gsu.edu/hbase/hyde.html#c4

The Lyman series represents transitions from excited states (n>1) to the ground state (n=1), the Balmer series represents transitions from excited states (n>2) to the first excited state (n=2), and the Paschen series from excited states (n>3) to 2nd excited state (n=3). n is the principal quantum number for atomic electrons.
 

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