azimuthal quantum number


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Related to azimuthal quantum number: Principal quantum number, Magnetic quantum number

azimuthal quantum number

[‚az·ə′məth·əl ¦kwän·təm ‚nəm·bər]
(atomic physics)
The orbital angular momentum quantum number l, such that the eigenvalue of L 2 is l (l + 1).
References in periodicals archive ?
The designation of a spectrometric state of the hydrogen atom is based conventionally on a value of azimuthal quantum number l--S states for l = 0, P states for l = 1, D states for l = 2 et cetera, originating in the terminology of Liveing and Dewar for sharp, principal and diffuse series of lines in atomic spectra; the quantum number for energy might be included in such a designation as n l, and all states are doublet states, indicated as a prefixed superscript, when the purported intrinsic angular momentum of the electron is taken also into account, to yield a term symbol such as 1 [sup.
with the eigenvalue as an expression containing azimuthal quantum number l.
Distinct from the amplitude functions, the electronic states of a H atom are specified rigorously within the Schroedinger formalism in terms of energy quantum number n and azimuthal quantum number l; the latter quantum number arises naturally in solutions in both spherical polar and spheroconical coordinates, and indirectly in paraboloidal and ellipsoidal coordinates as [absolute value of m] [less than or equal to] l.