Hybridization and Sigma and Pi bonds

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In discussions about sp2 hybridization of nitrogen, it is clarified that the unhybridized p orbital can only form pi bonds, while sigma bonds are formed through hybridized orbitals. Specifically, nitrogen can form two sigma bonds and one pi bond, as seen in compounds like oximes and imines. The conversation emphasizes that distinguishing between sp2, sp3, and un-hybridized nitrogen is often unnecessary, as valence bond theory allows for flexibility in describing molecular bonding. For instance, NH3 can be accurately described using either sp3 hybrid orbitals or un-hybridized p orbitals, highlighting the versatility of these bonding models.
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Say we have sp2 hybridization of nitrogen, can the unhybridized p orbital form sigma bonds too or can it only form pi bonds? So in the case of nitrogen, it would be able to form molecules with 2 sigma bonds and one pi bond, correct?
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Correct, I think - isn't this just what we have in e.g. oximes, or imines?
 
It makes no sense to speak of an sp2 hybridized nitrogen atom as something different from e.g. an sp3 hybridized nitrogen or an un-hybridized nitrogen. The concept of hybridization makes sense only in valence bond theory, and even there it is only seldomly necessary.
E.g. the bonds in a molecule like NH3 can equally well be described in terms of sp3 hybrid orbitals or un-hybridized p orbitals.
 
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