Landé g factor in the Zeeman Effect

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SUMMARY

The discussion focuses on calculating the magnetic field associated with the normal Zeeman effect for a light source emitting at 500 nm, with adjacent component separation of 12.0 pm. The user initially calculated the magnetic field (B) to be approximately 0.5 T using a Landé g factor (g) of 2. However, they expressed uncertainty about whether to use g = 1, which would result in a magnetic field of approximately 1 T. It is established that for the normal Zeeman effect, the correct value for g is indeed 1.

PREREQUISITES
  • Understanding of the Zeeman effect
  • Familiarity with the Landé g factor
  • Knowledge of energy equations: E=hc/lambda and ΔE = - μ B
  • Basic concepts of magnetic fields in physics
NEXT STEPS
  • Study the derivation of the Landé g factor in detail
  • Learn about the differences between normal and anomalous Zeeman effects
  • Explore applications of the Zeeman effect in spectroscopy
  • Investigate the relationship between magnetic fields and atomic transitions
USEFUL FOR

Physics students, educators, and researchers interested in atomic physics, particularly those studying the Zeeman effect and its implications in spectroscopy.

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Homework Statement



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


Homework Equations



E=hc/lambda, ΔE = - μ B

The Attempt at a Solution



So I've already gone through all the work of calculating ΔE, and μ and subsequently calculating B to be ~0.5T however I have a problem in that in the expression for my B I have ΔE on top and gμb at the bottom.

I chose to select g = 2 as my Landé g factor however it's a little bit ambiguous, I'm not sure whether it ought to be g = 1 in which case my value for B would be doubled to ~ 1T

Any help would be much appreciated thank you!
 
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