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Atomic orbitals: sp2 hybrid wave function

There are three sp2 hybrid obitals defined mathematically as linear combinations of component atomic orbitals, in this case 2s and 2p functions. The √(1/3) factor is a normalization constant.

Table of equations for the sp2 orbitals.
Function Equation
Wave function, ψsp21 = √(1/3) × (ψ2s + √(2)ψ2pz)
Wave function, ψsp22 = √(1/3) × (ψ2s - √(1/2)ψ2px + √(3/2)ψ2py)
Wave function, ψsp23 = √(1/3) × (ψ2s - √(1/2)ψ2px - √(3/2)ψ2py)
Electron density = ψsp212, ψsp222, and ψsp232
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