Can You Have a s2p3 Orbital or sp5d Hybridization in Molecules?

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The discussion addresses the feasibility of having an s2p3 orbital or similar hybridizations, emphasizing that hybrid orbitals typically combine only within the same shell. It highlights that combinations like sp5d are not standard due to the restriction of one s, three p, and five d orbitals in hybridization. The underlying physics indicates that mixing orbitals from different energy levels results in a time-dependent wavefunction, which contradicts the time-independent nature of orbitals as solutions to the Schrödinger equation. Therefore, the formation of unconventional hybrid orbitals like s2p3 is not supported by current quantum mechanics principles. The consensus is that hybridization must adhere to established rules regarding orbital combinations.
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When mixing orbitals, is it possible to have a s2p3 orbital ( or anything along the lines of having a s2shell)?

Also, are any combinations of hybridization orbitals possbile? For example. BrF2+, would the hybrid orbital used be sp5d or something different?
 
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Generally you can only combine orbitals within the same shell to form hybrid orbitals.
This limits you to one s orbital, three p orbitals, five d orbitals, etc.

The physics behind it is that combining orbitals with different energy levels gives a time-dependent wavefunction, and orbitals (hybrid or otherwise) are time-independent solutions of the Schroedinger equation.
 
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