Sp3 hybridization azimuthal quantum number

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SUMMARY

The discussion centers on the azimuthal quantum number (l) associated with sp3 hybridization. It is established that the s orbital corresponds to l=0 and the p orbital corresponds to l=1. However, sp3 hybrid orbitals do not have a defined l value, as they are not eigenstates of the orbital angular momentum operator. The confusion arises from the interpretation of hybridization and its representation in quantum mechanics.

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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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