I Sp3 hybridization azimuthal quantum number

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In sp3 hybridization, the azimuthal quantum number l is not clearly defined as sp3 orbitals do not correspond to eigenstates of the orbital angular momentum operator. The discussion suggests that l could be considered as 1.5, but this is not a conventional interpretation. The numbers presented in the thread seem to align with a different concept rather than strictly sp3 hybridization. There is uncertainty about whether the provided image accurately represents sp3 hybridization. Overall, the conversation highlights confusion regarding the quantum numbers associated with hybrid orbitals.
em3ry
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TL;DR
azimuthal quantum number for sp3 hybridization
The s orbital corresponds to l=0
The p orbital corresponds to l=1

For an electron in an sp3 hybridization orbital what is l?
 
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The answer appears to be 1.5 but I don't know why
 
nmℓmsmjj
mℓ + ms
21.51.5+0.522
21.50.5+0.512
21.5−0.5+0.502
21.5-1.5+0.5-12
21.5-1.5−0.5−22
21.5-0.5−0.5-11
21.50.5−0.501
21.51.5−0.511
 
Breit-rabi-Zeeman.png
 
em3ry said:
nmℓmsmjj
mℓ + ms
21.51.5+0.522
21.50.5+0.512
21.5−0.5+0.502
21.5-1.5+0.5-12
21.5-1.5−0.5−22
21.5-0.5−0.5-11
21.50.5−0.501
21.51.5−0.511
Where is that from?

sp3 hybrid orbitals are not eigenstates of the orbital angular momentum operator, so it makes no sense to talk about their ##l## value.
 
I am simply noting that the numbers match the image below it.

And I am no longer sure that it is an image of sp3 hybridization. It might be something else
 

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