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

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SUMMARY

The discussion centers on the feasibility of having a s2p3 orbital or sp5d hybridization in molecular structures. It is established that hybrid orbitals can only be formed by combining orbitals within the same shell, which restricts combinations to one s orbital, three p orbitals, and five d orbitals. The example of BrF2+ is examined, confirming that hybridization must adhere to these rules. The underlying physics indicates that mixing orbitals from different energy levels results in a time-dependent wavefunction, which is incompatible with the time-independent solutions of the Schrödinger equation.

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  • Understanding of atomic orbitals and their configurations
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  • Familiarity with the Schrödinger equation and wavefunctions
  • Basic principles of molecular geometry and bonding
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  • Research the limitations of hybridization in molecular orbital theory
  • Explore the implications of the Schrödinger equation on molecular structures
  • Study examples of hybridization in complex molecules like BrF2+
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Chemistry students, molecular physicists, and anyone interested in advanced concepts of hybridization and orbital theory.

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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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