explain ( 1) n + 1 rule (2) hand rule of maximum multiplicity (3) why2 D and 3
F orbital are not possible
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Because those angular momenta are too high for the given quantum levels.
Recall that the first two quantum numbers are:
n=1,2,3,...
l=0,1,2,...,n−1 ↔ s,p,d,f,g,h,i,k,...
where n is the principal quantum number indicating the energy level, and l is the angular momentum quantum number indicating the shape of the orbital.
Since l can be no greater than n−1 (i.e. lmax=n−1), it follows that the maximum l for each energy level is:
n=1⇒lmax=0⇒s
n=2⇒lmax=1⇒p
n=3⇒lmax=2⇒d
n=4⇒lmax=3⇒f
⋮ ⋮
As a result, the highest angular momentum orbitals we have are 1s, 2p, 3d, 4f, etc. We cannot have 1p, 2d, 3f, 4g, etc.
so moyler diagram is given
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