Finding B-field from Zeeman effect pattern

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SUMMARY

The discussion focuses on calculating the magnetic field (B) from the separation of adjacent components in the Zeeman effect pattern, specifically for a light source emitting at 500nm with a separation of 12.0pm. The relevant equation used is ΔE = μbBgmj, where ΔE represents the energy difference between the components. Participants suggest using the relationship between energy and wavelength, specifically ΔE = hf and f = c/λ, to express ΔE in terms of the wavelength separation (Δλ) and the original wavelength (λ) of the source.

PREREQUISITES
  • Understanding of the Zeeman effect and its implications in spectroscopy.
  • Familiarity with the equations relating energy, frequency, and wavelength (E = hf, f = c/λ).
  • Knowledge of magnetic dipole moment (μb) and its role in the Zeeman effect.
  • Basic algebraic manipulation skills to rearrange equations for solving variables.
NEXT STEPS
  • Research the Zeeman effect and its applications in atomic physics.
  • Study the derivation of energy differences in spectral lines due to magnetic fields.
  • Learn about the relationship between wavelength shifts and energy changes in spectroscopy.
  • Explore practical applications of the Zeeman effect in magnetic field measurements.
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Students in physics, particularly those studying atomic and molecular spectroscopy, as well as educators looking for examples of the Zeeman effect in practical applications.

maximus123
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Hey

I have this problem

Homework Statement




A source which emits a line at 500nm is found to exhibit the normal Zeeman effect
when placed in a magnetic field. Calculate the magnetic field given that the separation
of adjacent components in the Zeeman pattern is 12.0pm.





Homework Equations



I have this equation from my textbook

ΔE = μbBgmj



The Attempt at a Solution



I am assuming that I need to use the fact given about the distance of the components in the pattern to find ΔE and then rearrange for B, but I am not sure how to do that.

Any help would be appreciated

Thanks
 
Physics news on Phys.org
Recall that E = hf and f = c/λ. See if you can write ΔE in terms of Δλ and λ of the source.
 

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