Calculating Magnetic Splitting: delta E and Visible Lines

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SUMMARY

The discussion centers on calculating magnetic splitting, specifically delta E, which was determined to be 1.391E-22 J for a magnetic field of 15 T. The formula used is delta E = |e| / 2m hbar B_z (m2 - m1), where m2 and m1 represent the magnetic quantum numbers. The participants also explore the relationship between delta E and the wavelength (lambda) for visible lines in absorption spectra, noting that the resulting spacings appear unusually large at 1.4 mm. The calculations confirm that the Zeeman splitting energy is significantly smaller than the energy of typical visible photons, approximately 2 eV.

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  • Understanding of Zeeman effect and magnetic quantum numbers
  • Familiarity with quantum mechanics equations, particularly energy calculations
  • Knowledge of absorption spectra and their relationship to energy levels
  • Basic principles of electromagnetism and magnetic fields
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jaejoon89
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For a field of 15 T, I calculated the magnitude of the splitting, which was 1.391E-22 J (this is delta E), i.e.

delta E = |e| / 2m hbar B_z (m2 - m1)
where m2 and m1 are the m_l levels.

In order to determine the spacings for the visible lines on the absorption spectra, will that just be relating the delta E value to lambda in the usual way?

It seems a little strange here because the spacings would then be 1.4 mm (seems high).

Anway.. I'd appreciate some insight.
 
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I agree with your calculation.

It is reasonable for the Zeeman splitting energy to be a lot smaller than a typical visible photon (about 2 eV), as is the case here.
 

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