Understanding Zeeman Effect Selection Rules | Exploring Spin Physics

[KFC]

I am reading some online article on Zeeman effect
http://math.ucr.edu/home/baez/spin/node10.html
In the article, the author mentions 4 selection rules, I wonder the corresponding transition is allowed by satisfying one of these selection rules or the corresponding line will be allowed only when all rules are satisfied?

Thanks.

 

[Meir Achuz]

All four selection rules must be satisfied.

 

[Entropia]

I can provide some clarification on the selection rules mentioned in the article on Zeeman effect. The four selection rules mentioned (ΔJ = 0, ΔM_J = 0, ΔM_1 = 0, ΔM_2 = 0) refer to the change in angular momentum and magnetic quantum numbers between the initial and final states of an atom or molecule.

These selection rules determine which transitions are allowed or forbidden in the presence of an external magnetic field. When all four rules are satisfied, the transition is allowed and will result in a spectral line in the Zeeman effect. However, if any of the rules are not satisfied, the transition is forbidden and no spectral line will be observed.

It is important to note that these selection rules are not absolute and there can be exceptions depending on the specific system being studied. Additionally, the strength of the spectral line will also depend on how well the selection rules are satisfied.

Overall, the selection rules in the Zeeman effect provide a framework for understanding the behavior of atoms and molecules in a magnetic field and help us interpret the resulting spectral lines. Further research and experimentation are necessary to fully understand the complexities of the Zeeman effect and its applications in spin physics.