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Topic: LS coupling

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	Angular Momentum Coupling (Site not responding. Last check: 2007-11-04)
		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.
		In light atoms, the interactions between the orbital angular momenta of individual electrons is stronger than the spin-orbit coupling between the spin and orbital angular momenta.
		Another case where the overall L and S are decoupled is the case where there is a very strong external magnetic field is applied.
	hyperphysics.phy-astr.gsu.edu /hbase/atomic/lcoup.html (257 words)

	LS coupling - LScoupling
		The angular momentum coupling terms are the terms of the total Hamiltonian which do not commute with the subsystem individual angular momenta (or are not invariant with respect to the rotations of the subsystems).
		The spin-spin coupling that exists between nuclear spin and electronic spin is responsible for the atomic hyperfine structure.
		Spin-spin coupling or spin-spin splitting is the coupling of the spin angular momentum states of different particles.
	www.kopete.org /LS-coupling.html (1160 words)

	Angular momentum coupling - Wikipedia, the free encyclopedia
		In astronomy, spin-orbit coupling is the ratio between the frequency with which a planet or other celestial body spins about its own axis to that with which it orbits another body.
		In atomic physics, spin-orbit coupling describes a weak magnetic interaction, or coupling, of the particle spin and the orbital motion of this particle, e.g.
		In Nuclear Magnetic Resonance spin-spin coupling is a kind of weak interaction between the spin of a nucleus and the spins of nearby nuclei.
	en.wikipedia.org /wiki/Angular_momentum_coupling (1349 words)

	Synaptic Interactions of Late-Spiking Neocortical Neurons in Layer 1 -- Chu et al. 23 (1): 96 -- Journal of Neuroscience
		LS and non-LS cells were filled with biocytin during the recording to reconstruct their structure (Fig.
		The coupling coefficient of the pair shown in A was 14%, and that shown in B was 8.3%.
		Note the high rate of electrical coupling among LS cells (83%; 49 of 59 pairs) in contrast with the very low rate among the pairs consisting of an LS and a non-LS cell (2%; 2 of 93 pairs).
	www.jneurosci.org /cgi/content/full/23/1/96 (5235 words)

	NIST: Atomic Spectroscopy - Helium-like Ions; LS Coupling
		For 1snl configurations, L = l and S = 0 or 1, i.e., the terms are singlets (S = 0) or triplets (S = 1).
		The centrality of LS coupling in the analysis and theoretical interpretation of atomic spectra has led to the acceptance of notations and nomenclature well adapted to discussions of particular structures and spectra [2].
		Atomic structural hierarchy in LS coupling and names for the groups of all transitions between structural entities.
	physics.nist.gov /Pubs/AtSpec/node06.html (482 words)

	[No title]
		For the transformation of configuration state functions, the coupling of two open LS-shells or, correspondingly, four jj-subshells are also supported.
		Section 2.2] is always assumed for the coupling sequence of the individual shells.
		The main commands of the present extension are described in detail in Appendix B; for a quick reference on the current capabilities of the RACAH program, we refer the reader to Ref. [3] and to a list of all available commands in the file Racah-commands.ps which is appended to the code.
	www.cpc.cs.qub.ac.uk /summaries/ADFV_v6_0.html (452 words)

	Problem: (Site not responding. Last check: 2007-11-04)
		In the LS coupling scheme we therefore have W
		,LS) the eigenvalues of H depend on J and are (2J+1)-fold degenerate.
		Sketch the transition from jj to LS coupling.
	electron6.phys.utk.edu /qm2/modules/m11/moreproblems.htm (931 words)

	The Zeeman Effect in Atomic Mercury
		In a helium-like system, the total angular momentum J of the atom is determined solely by the total angular momentum of the two valence electrons, since the orbital and intrinsic spin angular momenta of the electrons in the closed-shell, inert core are coupled to zero.
		to form S, and the sum of L and S to form J. These angular momentum restrictions may be used to predict the quantum numbers of the low-lying excited states of the neutral Hg system.
		TABLE I. Possible LS coupling terms for the ground state and low-lying excited state configurations of the neutral Hg atom.
	community.middlebury.edu /~PHManual/zeeman.html (2135 words)

	Arrangements of electrons in atoms 4.1.1 (via CobWeb/3.1 vn1.cs.wustl.edu) (Site not responding. Last check: 2007-11-04)
		In general, the orbits with any given value of l are still numbered serially by n, starting with n = l + 1 (circular orbit), but the energy now depends on l too.
		In wave mechanics, n − l − 1 is the number of nodes (zeros) in the radial factor in the wave function.
		The magnitude of L is specified by a capital letter (S, P, D...), and the resultant spin S is specified by writing the number 2S + 1 as a superscript: the relative orientation of L and S merely affects the magnetic energy and splits the terms into 2S + 1 (or fewer) levels.
	www.kayelaby.npl.co.uk.cob-web.org:8888 /atomic_and_nuclear_physics/4_1/4_1_1.html (697 words)

	relhier (Site not responding. Last check: 2007-11-04)
		A time dependent magnetic dipole moment m=IA causes the total spin S to reorient relative to the total orbital angular momentum L, changing the J of the atom by emission of radiation.
		The large charge of the nucleus causes the field produced by the relative motion of the electron and the nucleus to couple to its spin.
		Thus the spin-own-orbit interaction becomes competitive with the spin-spin and orbit-orbit interactions, producing a complex coupling somewhere between LS and jj.
	www.physics.utoledo.edu /~ljc/relhier.html (311 words)

	CMS—5f States of Plutonium (Site not responding. Last check: 2007-11-04)
		To digress, there are two limiting cases for the coupling of angular momenta in multi-electronic systems: Russell Saunders or LS coupling and JJ coupling.
		It has been shown that while the two schemes produce similar trends in derived quantities, there is an important “shift” between the results of the two schemes, thus generating very different results on an element by element basis.
		The absence of pre-edge structure in the x-ray Abs of Pu indicates the failure of RS coupling.
	www-cms.llnl.gov /s-t/pu-5f.html (595 words)

	Angle-Resolved 2-D Spectra
		Light atoms, such as neon, are typically treated in a theoretical framework known as LS coupling.
		In this study, according to LS coupling, signals should vanish at 0° along c, so the observation of any signal at this angle is an immediate indication of the breakdown of LS coupling.
		The important implication of the detection of such prominent spin-orbit effects is that it is not safe to assume the validity of LS coupling, even for low-lying excitations in a system as light as neon.
	www-als.lbl.gov /als/science/sci_archive/spinorbt.html (376 words)

	Case Stufy
		"Coupling MADYMO and LS-DYNA3D was the most technically challenging aspect of the whole project, but one that was critical to the success of the seat," says Joseph Formicola, the Hoff Vice President in charge of the JCI project.
		Head Injury Criteria (HIC) and chest gs, provided by MADYMO, were used to determine the survival or "death" of the dummy while the output from LS-DYNA3D allowed the evaluation of the structural integrity of the seat in the simulated sled test.
		The coupling file also contained all the contact definitions between the dummy with the toepan, the seat belt, the cushion pan, and the back of the seat.
	www.hoff.com /Studies/study2.html (972 words)

	SBF Glossary: LQ to l8r
		Coupling between orbital (L) and spin (S) angular momentum of a system.
		A couple of major factors color the secondary market in loans: one is confidence.
		It describes how ``[g]rowing economic distress, coupled with pressure from the Right, obliged the government to shut the Kroll Opera in July 1931,'' and mentions airily that Otto Klemperer ``emigrated'' in April 1933.
	www.plexoft.com /SBF/L04.html (9485 words)

	[No title]
		The code is written for an LS- coupling scheme, with options to include Breit-Pauli terms in the Hamiltonian and recouple the matrices to an intermediate-coupling scheme.
		The running time in a realistic calculation tends to be dominated by three processes: (a) calculating angular integrals in STG2, particularly for open d-shell targets; (b) diagonalizing large Hamiltonian matrices in STGH, an n**3 process, where n is the size of the Hamiltonian and is proportional to the number of channels and basis terms.
		(c) solving the coupled equations in the external region, depends on the number of scattering energies required as well as the number of channels.
	www.cpc.cs.qub.ac.uk /summaries/ADCP_v1_0.html (285 words)

	[No title] (Site not responding. Last check: 2007-11-04)
		The value of the mutual inductance is L
		The dots of the inductors are placed at node1 of the inductors.
		Inductors which are defined to have a non-linear series inductance < L=output > and LBR components can not be coupled.
	www.caspoc.com /manual/k.html (133 words)

	ALSNews Vol. 121 February 17, 1999
		In the case of neon, a more complex system, early photoabsorption experiments demonstrated a departure from the predictions of LS coupling in the fine-structure splittings of the photoionization spectra.
		For example, in this study, according to LS coupling, signals in some cases should vanish at 0°, so the observation of any signal at 0° in those cases is an immediate indication of the breakdown of LS coupling.
		The important implication of the detection of prominent spin-orbit effects is that it is not safe to assume the validity of LS coupling, even for low-lying excitations in a system as light as neon.
	www-als.lbl.gov /als/als_news/news_archive/vol.121_021799.html (1167 words)

	LS Series
		EAW's LS Series of line source loudspeaker systems brings the classic column speaker up-to-date.
		The internal passive crossover/filter network uses complex, asymmetrical slopes to integrate the subsystems and goes beyond merely dividing the signal to perform critical equalization functions.
		Like the classic column speakers of the '50s and 60's, the LS Series was designed to solve speech-only installation problems in highly reverberant spaces with low ceilings and hard floors.
	www.eaw.com /products/LS (221 words)

	Coupling Schemes (Site not responding. Last check: 2007-11-04)
		Because the two processes involve independent summations, they can be carried out in any order, giving rise to different coupling schemes.
		The most suitable coupling scheme for a particular atom will be determined by the relative importance of the various residual interactions not accounted for in the central field model.
		The most common coupling schemes are known as LS and jj coupling.
	lheawww.gsfc.nasa.gov /users/audley/msctest/node14.html (103 words)

	Zeeman effect - Wikipedia, the free encyclopedia
		It was called "anomalous" because the electron spin had not yet been discovered, and so there was no good explanation for it, at the time that Zeeman observed the effect.
		If the magnetic field strength is too high, the effect is no longer linear; at even higher field strength, electron coupling is disturbed and the spectral lines rearrange.
		The splitting depends upon the l level being considered.
	en.wikipedia.org /wiki/Zeeman_Effect (743 words)

	List of Hund's rules - Wikipedia, the free encyclopedia
		The rules assume that the repulsion between the outer electrons is very much greater than the spin-orbit interaction which is in turn stronger than any other remaining interactions.
		This is referred to as the LS coupling regime.
		In the case where the spin-orbit coupling is weak compared to the residual electrostatic, where
	en.wikipedia.org /wiki/List_of_Hund's_rules (604 words)

	LS-Dyna: TNO Models (Site not responding. Last check: 2007-11-04)
		The coupling to LS-DYNA has been extended so that users gain full flexibility in their choice of dummy models.
		Where the traditional coupling allowed only MADYMO ellipsoids and planes to contact entities in the coupled code, now contact can also be defined with MADYMO FE (and facets).
		This enables the best and latest MADYMO dummy models, subsystem models, barrier models and human models to be applied in the coupling.
	www.lsdyna-portal.com /TNO_Models.1341.0.html (238 words)

	Dielectronic Recombination in Photoionized Gas
		Here L is the nominal length of the electron-ion overlap in the electron cooler, E is the c.m.
		Related work has been carried out in LS coupling, which does not account for DR via fine-structure core excitations but which does include the effects of fine-structure autoionizing transitions of the intermediate state of the DR process (see LaGattuta, Nasser, and Hahn 1986; Ramadan and Hahn 1989).
		These recommended rates (and many of the recommended rates of AR92) are calculated using either the Burgess (1965) formula or LS coupling.
	ecf.hq.eso.org /~ralbrech/novdec97apjl/975499.html (3317 words)

	NIST: Atomic Spectroscopy - Allowed Terms
		The allowed LS terms of a configuration consisting of two nonequivalent groups of electrons are obtained by coupling the S and L vectors of the groups in all possible ways, and the procedure may be extended to any number of such groups.
		Thus the allowed terms for any configuration can be obtained from a table of the allowed terms for groups of equivalent electrons.
		The recurring terms of a particular LS term type from d
	physics.nist.gov /Pubs/AtSpec/node08.html (414 words)

	List of Principal Variables
		AVP(M,K) average purity of all eigenvectors of parity K for coupling M
		CP number of different LS terms (i.e., number of different possible values of script LqSq, (considering diff.
		S(L,I) Si for Lth LS term of ith subshell, liwi (cf.
	www.ucd.ie /speclab/Cowandocs/RCG/RCG_node24.html (1238 words)

	ls coupling - OneLook Dictionary Search (Site not responding. Last check: 2007-11-04)
		We found 3 dictionaries with English definitions that include the word ls coupling:
		Tip: Click on the first link on a line below to go directly to a page where "ls coupling" is defined.
		LS coupling : Stammtisch Beau Fleuve Acronyms [home, info]
	www.onelook.com /?w=ls+coupling&ls=a (81 words)

	ls - OneLook Dictionary Search
		Tip: Click on the first link on a line below to go directly to a page where "ls" is defined.
		L.S : Dictionary of Phrase and Fable (1898) [home, info]
		Phrases that include ls: ls coupling, ms in ls, absorption ls, accessory ls volar, alar ls, more...
	www.onelook.com /cgi-bin/cgiwrap/bware/dofind.cgi?word=ls (256 words)

	Angular(1) (Site not responding. Last check: 2007-11-04)
		(b) For the case of L-S coupling, show that the above expression reduces to the Landé g-factor.
		Analyze the fine structure splitting for LS coupling and for jj coupling.
		The projection theorem states that the matrix elements of L
	electron6.phys.utk.edu /phys594/archives/quantum/Angular/angular1.htm (653 words)

	LS coupling (Site not responding. Last check: 2007-11-04)
		Next: jj coupling Up: Coupling Schemes Previous: Coupling Schemes
		In this case it is appropriate to couple the orbital angular momenta
		L and S are then coupled to give J.
	lheawww.gsfc.nasa.gov /users/audley/msctest/node15.html (78 words)

	[No title] (Site not responding. Last check: 2007-11-04)
		We may use a table of equivalent electrons to eliminate possible states, or we may use the following rule: For two equivalent electrons the sum L + S must be even.
		Solution: a) LS: EMBED Equation.DSMT4 Possible states: EMBED Equation.DSMT4 jj: EMBED Equation.DSMT4 Possible states: EMBED Equation.DSMT4 b) 10.5 a) Write all terms for the electron configuration EMBED Equation.DSMT4 in both LS- and jj-coupling notation.
		Solution: a) LS: From the table of equivalent electrons, Table 2, we know that for LS-coupling the states are EMBED Equation.DSMT4 .
	www.umsl.edu /~jjl/homepage/problems/Ch_10_wsoln.doc (1513 words)

	A comment on the calculation of atomic energy levels in LS coupling using relativistic radial integrals
		A comment on the calculation of atomic energy levels in LS coupling using relativistic radial integrals
		Relativistic effects have been included in non-relativistic term energies in some recent work by relating to non-relativistic radial integrals.
		It is seen that the need for a non-relativistic term energy is principally one of labelling the eigenstates of the atomic system according to some single-configuration coupling scheme, which could be achieved by a coupling transformation from the basic jj-coupled schemes used in relativistic atomic structure calculations.
	stacks.iop.org /0022-3700/18/L175 (246 words)

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