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Atomic orbitals: sp3 hybrid wave function

There are four sp3 hybrid obitals defined mathematically as linear combinations of component atomic orbitals, in this case 2s and 2p functions. The (1/2) factor is a normalization constant.

Table of equations for the sp3 orbitals.
Function Equation
Wave function, ψsp31 = (1/2) × (ψ2s + ψ2px+ ψ2py+ ψ2pz)
Wave function, ψsp32 = (1/2) × (ψ2s + ψ2px- ψ2py- ψ2pz)
Wave function, ψsp33 = (1/2) × (ψ2s - ψ2px+ ψ2py- ψ2pz)
Wave function, ψsp34 = (1/2) × (ψ2s - ψ2px- ψ2py+ ψ2pz)
Electron density = ψsp312, ψsp322, ψsp332, and ψsp342
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