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**1. Homework Statement**

Suppose that electrons had a spin number of [tex]\frac{3}{2}[/tex] instead of [tex]\frac{1}{2}[/tex]

That is, they have ould magnetic spin states of S[tex]_{z}[/tex] = [tex]\frac{-3}{2}[/tex][tex]\hbar[/tex] , [tex]\frac{-1}{2}[/tex][tex]\hbar[/tex] , [tex]\frac{+1}{2}[/tex][tex]\hbar[/tex] , [tex]\frac{+3}{2}[/tex][tex]\hbar[/tex]

Which elements would be the "new" noble gases in this case?

**2. Homework Equations**

"real" electron spin = + 1/2, - 1/2.

Noble gases are in the group of Helium (Neon, Argon, etc.)

**3. The Attempt at a Solution**

I figured it was going to be easy because, looking at the dependence of the other 3 quantum numbers on each other, it would reveal the solution quickly. The dependence i'm referring to is n = 1, 2, 3, ...

l = 1, 2, n-1... and so on..

I can't find a dependence this clear with the spin number though.