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The angular factors of atomic orbitals Θ ( θ ) Φ ( φ ) generate s, p, d, etc.
functions as real combinations of spherical harmonics Y < sub > lm </ sub >( θ, φ ) ( where l and m are quantum numbers ).
There are typically three mathematical forms for the radial functions R ( r ) which can be chosen as a starting point for the calculation of the properties of atoms and molecules with many electrons.

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