How Do You Calculate the Landé g Factor for sd Configuration in jj Coupling?

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SUMMARY

The Landé g factor for sd configuration in jj coupling can be calculated using the formula g = 1 + (J(J+1) - L(L+1) + S(S+1)) / (2J(J+1)). For d electrons, the possible j-values are 3/2 and 5/2, which couple with s electrons to yield total J values of 2, 4, and 6. The calculation of the g factor is essential for further analysis, including determining the ratio (e/m) of an electron based on the Zeeman effect observed in a 1.0T magnetic field with a spectral line separation of 0.0116nm.

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Irid
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This is rather a straightforward question I believe, but somehow I'm not sure about the wording of it...

Homework Statement


Calculate g value (Landé g factor) for sd configuration in jj coupling.


Homework Equations


<br /> g = 1 + \frac{J(J+1) - L(L+1) + S(S+1)}{2J(J+1)}<br />


The Attempt at a Solution


For a d electron there are two j-values: 3/2 and 5/2. And then both can couple with the s electron to give 2/2, 4/2 and 4/2, 6/2 total J. So how can I calculate the g factor, there are many possibilities, correct?
 
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And one more.
The normal Zeeman components of a 500nm spectral line are 0.0116nm apart in a magnetic field of 1.0T. Find the ratio (e/m) of an electron.

I think I should somehow find out what is g-value to be able to proceed, but how?
 

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