Orbitals and hybridization

[fishfish]

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?

 

[PhaseShifter]

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.