How many 3d_(z^2) orbitals have n = 3 and l = 2?
1 Answer
Nov 9, 2016
You already specified an orbital, so... one...
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The
bb(n = 3) , because the3 in front says that. Thus, it is in the 3rd quantum level.bb(l = 2) , which corresponds to ad orbital, since the values ofl correspond as(0,1,2,3,4, . . . ) harr (s,p,d,f,g, . . . ) .m_l for this orbital is one of the values in the following set:{-2,-1,0,+1,+2} . It does not matter which one, but it is only one of them, since you have specified only oned orbital. That is,m_l is known, but is yours to choose, since all the3d orbitals in an atom are the same energy (degenerate).m_s requires more information to specify, but it can either bepm"1/2" in general. It depends on how many electrons were in that orbital to begin with, whether it's spin-up or spin-down for the electron of choice.