Do All Images with Applied Current Show the Normal Zeeman Effect?

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SUMMARY

The discussion centers on the normal Zeeman effect (NZE) observed in laboratory images captured during experiments with varying current (I). It is established that all images with I > 0 exhibit the NZE, with the visibility of line-splitting increasing proportionally to the current applied, particularly at I ≈ 8 A. Additionally, participants address the challenge of measuring the diameters of rings in images to calculate areal ratios (δ/Δ) as a function of the magnetic field (B), clarifying that consistent units for diameter measurement will yield valid results regardless of the scale used.

PREREQUISITES
  • Understanding of the Zeeman effect and its normal manifestation.
  • Familiarity with concepts of magnetic fields and current (I).
  • Basic knowledge of areal ratios and their significance in physics.
  • Experience with image analysis and measurement techniques.
NEXT STEPS
  • Research the application of the Zeeman effect in spectroscopy.
  • Learn about the principles of measuring diameters in microscopy.
  • Explore software alternatives to Motic Images Plus for image analysis.
  • Investigate the relationship between magnetic field strength and line-splitting in the Zeeman effect.
USEFUL FOR

Physics students, laboratory researchers, and educators involved in optics and electromagnetic studies, particularly those focusing on the Zeeman effect and image analysis techniques.

Athenian
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Homework Statement
N/A (Refer below for more details)
Relevant Equations
N/A
*Data Location:

Recently, I have been working on a lab project on the Zeeman effect. After conducting the laboratory work necessary to produce the Zeeman effect, the results were saved as a photo and pasted together as a PDF file. To view the images (in PDF format), please refer to the Google drive shared link here.

Note that the PDFs above can be previewed easily, so downloading the files should be unnecessary.

Question 1:

In the lab, I was asked to show three images (with the ones I have already available in the PDFs) that correspond to the normal Zeeman effect. Each image with the normal Zeeman effect should correspond to the 1. longitudinal unpolarized, 2. transverse ##\sigma##-polarized, and 3. transverse unpolarized. In other words, 1 image (i.e. with normal Zeeman effect) for each PDF file - totaling to 3 images for 3 PDF files as each PDF file corresponds to a different orientation.

However, my question is, don't all the images (after a current ##I## is applied) in all the PDFs correspond to the normal Zeeman effect? Or, do only the last images (i.e. ##I \approx 8 A##) in all the PDFs correspond to the normal Zeeman effect instead?

Question 2:

I am supposed to graph the areal ratios (##\delta / \Delta##) as a function of the magnetic field (##B##) for all 3 given orientations. To find the areal ratios, I need the diameter of each ring in my given images. I have been asked to use a ruler to get the diameter of each ring. While capturing the diameters of each ring is easy, how do I ensure that I measure the rings to scale? In other words, I may measure the diameters in centimeters when the diameter (scaled properly) ought to be in the micrometers. I have seen some use a software called Motic Images Plus. But, as I do not have said software, are there any ways around the measurement issue?

Those are all the questions I have for the time being. Thank you for reading through this post!
 
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Athenian said:
Homework Statement:: N/A (Refer below for more details)
Relevant Equations:: N/A

*Data Location:

Recently, I have been working on a lab project on the Zeeman effect. After conducting the laboratory work necessary to produce the Zeeman effect, the results were saved as a photo and pasted together as a PDF file. To view the images (in PDF format), please refer to the Google drive shared link here.

Note that the PDFs above can be previewed easily, so downloading the files should be unnecessary.

Question 1:

In the lab, I was asked to show three images (with the ones I have already available in the PDFs) that correspond to the normal Zeeman effect. Each image with the normal Zeeman effect should correspond to the 1. longitudinal unpolarized, 2. transverse ##\sigma##-polarized, and 3. transverse unpolarized. In other words, 1 image (i.e. with normal Zeeman effect) for each PDF file - totaling to 3 images for 3 PDF files as each PDF file corresponds to a different orientation.

However, my question is, don't all the images (after a current ##I## is applied) in all the PDFs correspond to the normal Zeeman effect? Or, do only the last images (i.e. ##I \approx 8 A##) in all the PDFs correspond to the normal Zeeman effect instead?

Question 2:

I am supposed to graph the areal ratios (##\delta / \Delta##) as a function of the magnetic field (##B##) for all 3 given orientations. To find the areal ratios, I need the diameter of each ring in my given images. I have been asked to use a ruler to get the diameter of each ring. While capturing the diameters of each ring is easy, how do I ensure that I measure the rings to scale? In other words, I may measure the diameters in centimeters when the diameter (scaled properly) ought to be in the micrometers. I have seen some use a software called Motic Images Plus. But, as I do not have said software, are there any ways around the measurement issue?

Those are all the questions I have for the time being. Thank you for reading through this post!
If I understand correctly...

Q1. The normal Zeeman Effect (NZE) was occurring during all your photos with I>0. But the amount of 'line-splitting' is proportional the the magnetic field, so it is proportional to I. Therefore the NZE became more clearly visible as the current increased. It is most clearly seen for the largest values of current.

Q2. You haven't stated what ##\delta \text { and } \Delta## are. If they are areas of rings, then it doesn''t matter what units are used to measure the diameters - providing the same units are used. Can you see why?

Hope that's what you meant.
 
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Steve4Physics said:
Q1. The normal Zeeman Effect (NZE) was occurring during all your photos with I>0. But the amount of 'line-splitting' is proportional the the magnetic field, so it is proportional to I. Therefore the NZE became more clearly visible as the current increased. It is most clearly seen for the largest values of current.
To my best understanding, this is correct. Or, at the very least, that's my line of thought too. However, it just seems odd that the instructor wants me to provide three images of the normal Zeeman effect when nearly all of them fit the given criteria. Then again, perhaps I am overanalyzing the task.

Steve4Physics said:
Q2. You haven't stated what δ and Δ are. If they are areas of rings, then it doesn''t matter what units are used to measure the diameters - providing the same units are used. Can you see why?
Yes, they are the areas of the rings. I just realized that the units would simply cancel out and thus the units here would not have possessed any significance in the calculation process. Beyond that, the hint is in the name (i.e. areal ratio). Thus, my calculation would definitely be "scaled" correctly.

Thank you for your help!
 
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