Calculating Magnetic Splitting: delta E and Visible Lines

In summary, the conversation discusses the calculations and implications of the Zeeman splitting energy for determining the spacings of visible lines on absorption spectra. The calculated splitting energy is 1.391E-22 J and the spacings are expected to be smaller than a typical visible photon. Both parties agree with the calculations.
  • #1
jaejoon89
195
0
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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  • #2
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.
 

1. What is magnetic splitting?

Magnetic splitting is the phenomenon in which the energy levels of an atom or molecule are split into sub-levels when placed in a magnetic field. This is caused by the interaction between the magnetic field and the magnetic moment of the atom or molecule.

2. How is delta E calculated in magnetic splitting?

Delta E, or the energy difference between the split sub-levels, is calculated using the Zeeman effect equation: ΔE = μBΔm, where μ is the magnetic moment, B is the strength of the magnetic field, and Δm is the change in magnetic quantum number.

3. What are visible lines in relation to magnetic splitting?

Visible lines refer to the spectral lines that are observed in the visible region of the electromagnetic spectrum as a result of magnetic splitting. These lines correspond to the transitions between the split sub-levels of an atom or molecule.

4. How does the strength of the magnetic field affect the splitting of energy levels?

The strength of the magnetic field directly affects the magnitude of the energy splitting. A stronger magnetic field will result in a larger energy difference between the sub-levels, while a weaker magnetic field will result in a smaller energy difference.

5. Can magnetic splitting be observed in all atoms and molecules?

Yes, magnetic splitting can be observed in all atoms and molecules that possess a non-zero magnetic moment. However, the effect may be more pronounced in some atoms and molecules compared to others, depending on their electronic structure and magnetic properties.

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