Why do we see spectral LINES, not circles/triangles etc?

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Discussion Overview

The discussion revolves around the observation of spectral lines produced by sodium lamps and the underlying reasons for their linear appearance rather than other shapes like circles or triangles. It touches on experimental setups, diffraction, and the nature of spectral lines in the context of atomic transitions.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants inquire about the experimental setup to understand the observed spectral shapes, emphasizing the importance of details like the type of slit used.
  • It is noted that a straight line slit typically produces straight spectral lines as images of the slit, while a circular diaphragm would yield a circular spot of monochromatic light.
  • One participant suggests that the shape of the spectrum is influenced by the arrangement of the diffraction grating, proposing that different grating shapes could alter the spectral appearance.
  • There is mention of the Voigt profile in relation to spectral line shapes, indicating that the lines are not purely linear but have a more complex nature.
  • Another participant discusses how wider slits can transform spectral lines into broader shapes, potentially overlapping into rectangles.
  • Examples are provided, such as how different shapes of apertures can lead to varied spectral outputs, including dots or jumbled patterns from non-linear slits.

Areas of Agreement / Disagreement

Participants express varying views on the factors influencing the shape of spectral lines, with no consensus reached on a definitive explanation. Multiple competing perspectives exist regarding the role of experimental setup and the nature of spectral lines.

Contextual Notes

Limitations include the dependence on specific experimental conditions, such as the type of slit and grating used, which may affect the observed spectral shapes. The discussion also highlights the complexity of spectral line profiles without resolving the mathematical or physical details involved.

girlinphysics
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We were looking at the spectral lines of sodium in class and I was wondering, why do we see lines, and not any other shape like circles?
 
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We can't answer your question very well, if you don't give us some details. Without the exeprimental setup, we can not figure out about the shape of the spectra you observe.
 
vanhees71 said:
We can't answer your question very well, if you don't give us some details. Without the exeprimental setup, we can not figure out about the shape of the spectra you observe.

We had a sodium lamp set up in the lab with a spectrometer and were told to measure the diffraction angle of the doublet components in the sodium spectrum. We saw lines like this: http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/modpic/picklespectrum.jpg
I was just curious as to why spectra occur as lines, not other shapes.
 
Was the light beam passed through a straight line slit? It usually is so the straight lines are effectively images of the slit.
 
bhillyard said:
Was the light beam passed through a straight line slit? It usually is so the straight lines are effectively images of the slit.

The light coming from the sodium lamp was incident on a slit of adjustable width (we made it very narrow until the spectrum could be seen). We also used a diffraction grating.
 
The spectrograph maps the image of the slit onto a screen. If it was a circular diaphragm instead of the slit you would see a circular spot with monochromatic light. If you used Mercury vapour lamp you would see circles of different colour. If the slit was made of the form of a cat you would see a cat spectrum. ;)

ehild
 
A rainbow is an example of a geometry where you get circles.
 
ehild said:
The spectrograph maps the image of the slit onto a screen.

To see this, make the slit wider, and see what happens to the spectrum lines. They should widen out into "spectrum rectangles" which overlap if they're wide enough.
 
Some theory of atomic line transitions should have been explained in your class. You should look up some resources on spectral line shape. It's not really a line, but a Voigt profile.

The spectrum itself has the wavelengths laid out in a line because the diffraction grating is made up of linear slits arranged in parallel. If you had a different grating (say, circular bands), the shape of your spectrum would change.
 
  • #10
If you want to be purist, it might be better to call spectral lines 'Spectral Maxima' and 'Spectral Minima'. That would take care of the particular method you use for analysing a spectrum.
If you were to display the spectrum of a radio signal as a set of 'lines', people would complain because a two dimensional graph can show the value of amplitude on the y-axis with the frequency (or wavelength) plotted on the x axis. But that's also the form in which data of optical spectra is displayed for serious analysis.
 
  • #11
If a vertical slit of light goes through a prism, the colors get sorted out nicely. A place for each frequency and each frequency in it's place. Martha Stewart would say "It's a good thing". But if the light goes through another shape (like the outline of a cat, as a previous post said), then the light spectrum of the tail would get smeared over the light spectrum of the head, and there would be a jumbled mess of light frequencies at anyone spot, all from different parts of the cat. That would be useless.
 
  • #12
It depends on the grating constant and the size of the aperture, also on the optical arrangement. The diffracted light should be focused to a screen. My students did that experiment with a grating , using a Hydrogen lamp and apertures of different shapes. So the spectral "lines" became well separated "spectral dots", letters and traffic signs.
If you use a laser as light source, the diffraction pattern consists of spots of about circular shapes.

ehild
 

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