English: Collection of 16 atomic single-electron orbitals for the lowest four n quantum numbers. Only the cases ${\displaystyle n=l+1}$ with one radial node are shown. Each row shows one l -quantum number l =0 (s), l =1 (p), l =2 (d) and l =3 (f). The color depicts the complex-valued phase of the wavefunction . The right half depicts m _z -eigenstates with m quantum numbers ${\displaystyle m\in \{0,\ldots ,l\}}$ in ascending order showing complex phases and probability densities which are symmetric around the z -axis. The left half shows real-valued superpositions of ± m , which break the rotational symmetry and are often used in chemistry. The solid bodies enclose the volume where the continuous probability density exceeds a well-chosen threshold. The formulas that describe the orbitals can be found at Hydrogen atom .
The labels in the image show the quantum numbers nl _m with l encoded as letter and m replaced by the spatial alignment for the real-valued superpositions.