From constraints on the behavior of the hydrogen wavefunction in the colatitude equation arises a constant of the form
where n is the principal quantum number. This defines the orbital quantum number, which determines the magnitude of the orbital angular momentum in the relationship
This relationship between the magnitude of the angular momentum and the quantum number is commonly visualized in terms of a vector model. The orbital quantum number determines the bounds on the magnetic quantum number. The orbital quantum number is used as a part of the designation of atomic electron states in the spectroscopic notation.
The orbital quantum number plays a role in the Zeeman interaction since the orbital motion contributes a magnetic moment, and is important as an indicator of subshell differences in electron energies.
Quantum numbers for atomic electronsRetroSearch is an open source project built by @garambo | Open a GitHub Issue
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