Magnetic Interactions and the

A magnetic moment experiences a torque in a magnetic field B. The energy of the interaction can be expressed as Both the orbital and spin angular momenta contribute to the magnetic moment of an atomic electron. where g is the spin gfactor and has a value of about 2, implying that the spin angular momentum is twice as effective in producing a magnetic moment. 
The interaction energy of an atomic electron can then be written which when evaluated in terms of the relevant quantum numbers takes the form Show evaluation process 
Zeeman interaction  Anomalous Zeeman effect 
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Evaluating the Lande' gFactor

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Lande' gFactor Evaluation
Substitution into the energy expression gives which can be reduced to where

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