Atomic orbitals: 3p equations
The symbols used in the following are:
 r = radius expressed in atomic units (1 Bohr radius = 52.9 pm)
 π = 3.14159 approximately
 e = 2.71828 approximately
 Z = effective nuclear charge for that orbital in that atom.
 ρ = 2Zr/n where n is the principal quantum number (3 for the 3p orbitals)
The radial equation for the 3p_{x}, 3p_{y}, and 3p_{z} orbitals is the same in each case. The angular functions are the same but substitute y and z as appropriate in the formula for Y_{3px} given above. Substitute similarly for the wave equations ψ_{3py} and ψ_{3pz}.
For sorbitals the radial distribution function is given by 4πr^{2}ψ^{2}, but for nonspherical orbitals (where the orbital angular momentum quantum number l > 0) the expression is as above. See D.F. Shriver and P.W. Atkins, Inorganic Chemistry, 3rd edition, Oxford, 1999, page 15.
