Atomic_orbitals_n1234_m-eigenstates.png


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English: Collection of all 30 atomic single-electron orbitals for the lowest four n quantum numbers . The four blocks show the quantum numbers n =1, n =2, n =3 and n =4, respectively. Each row shows one l -quantum number l =0 (s), l =1 (p), l =2 (d) and l =3 (f) with m quantum numbers in ascending order. The color depicts the complex-valued phase of the wavefunction . In contrast to the real-valued orbitals in chemistry, which are superpositions of several m -eigenstates , the probability densities shown here are symmetric around the z -axis. 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 2 s , 3 s and 4 s orbitals are cut open to reveal the inner structure.
The labels in the image show the quantum numbers nl m with l encoded as letter.
Date
Source Own work , Created with hydrogen 1.1
Author Geek3
Other versions Atomic orbitals n123 m-eigenstates.png only up to n =3.

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