LS coupling, also known as Russell-Saunders coupling, assumes that the interaction between an electron's intrinsic angular momentum s and its orbital angular momentum L is small enough to be considered as an perturbation to the electronic Hamiltonian. Such interactions can be derived in a classical way.

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Russell-Saunders (or L - S) coupling; and jj coupling. In the Russell Saunders scheme (named after Henry Norris Russell, 1877-1957 a Princeton Astronomer and Frederick Albert Saunders, 1875-1963 a Harvard Physicist and published in Astrophysics Journal, 61, 38, 1925) it is assumed that: spin-spin coupling > orbit-orbit coupling > spin-orbit coupling. This kind of coupling is called L-S coupling or Russell-Saunders coupling, and it is found to give good agreement with the observed spectral details for many light atoms. For heavier atoms, another coupling scheme called " j-j coupling " provides better agreement with experiment. The various orientations of orbital angular momentum and spin give rise to the fine structure of atomic spectra.

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The interaction between the quantum numbers L and S is called Russell–Saunders coupling (after Henry Norris Russell and Frederick Saunders) or LS coupling. Then S and L couple together and form a total angular momentum J: = +, where L and S are the totals:

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3 L-S Coupling. The interaction energy for light elements, ordered in decreasing energy, is as follows: Γ1. 2 Jan 2021 Transition from LS to jj coupling: a «correlation diagram».

Note how the 2 J = 1 states seems to "repel" each other while the two unique J-values (0 and 2) just increase linearly with the "-parameter. Se hela listan på altramotion.com Se hela listan på tau.ac.il The interaction in the region where neither LS-coupling nor jj-coupling dominates is described by so-called intermediate coupling. The LS-coupled and the jj-coupled sides of the diagram have been connected with lines going between energy levels associated with the same J, which obviously is a good quantum number whatever representation we use.
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For light atoms, the spin–orbit interaction (or coupling) is small so that the total orbital angular momentum L and total spin S are good quantum numbers. The interaction between L and S is known as LS coupling, Russell–Saunders coupling (named after Henry Norris Russell and Frederick Albert Saunders, who described this in 1925.

At the Department of Theory of Atom in the Institute of Theoretical Physics and Astronomy of Vil- Find out information about LS coupling. Russell-Saunders coupling McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc Explanation of LS coupling and j - j coupling. In the Russell Saunders scheme (named after Henry Norris Russell, 1877-1957 a Princeton Astronomer and Frederick Albert Saunders, 1875-1963 a Harvard Physicist and published in Astrophysics Journal, 61, 38, 1925) it is assumed that: spin-spin coupling > orbit-orbit coupling > spin-orbit coupling. (Fig.23) Rare-earth ions really obey LS coupling ? Different from 3d transition metallic ions, "4f" rare earth ions are known to almost agree with LS coupling rule. "g J" is Lande g factor, which can be gotten from Eq.2.

jj coupling hierarchy: the term symbols L and S are no longer good quantum numbers Only j 1, j 2, …, J are good quantum numbers … is the term symbol in jj coupling.

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Physica B: Condensed Matter 284, 2129-2130, 2000. in impure two-dimensional electron systems with spin-orbit coupling Y Wang, VW Brar, AV Shytov, Q Wu, W Regan, HZ Tsai, A Zettl, LS Levitov, Nature  Coupled analyses; Control parameters; Output format and output files; Pre and post processing with LS-PREPOST; Hands-on exercises throughout the seminar  Spin-orbit coupling (L-S coupling) and Magnetic interactions with defined external magnetic field (Zeeman effect).