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Canonical static concept record

jj coupling

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Summary

A coupling approximation in which each electron’s lil_i and sis_i first form jij_i, after which the jij_i combine to total JJ.

Record metadata

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Clebsch–Gordan coefficientjj coupling

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Clebsch–Gordan coefficients implement successive angular-momentum couplings used to build states of definite total angular momentum in jj coupling.

How to interpret this relation type

A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.

Relation sources

Many-electron atomjj coupling

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

jjjj coupling is useful when individual spin–orbit couplings dominate residual interelectronic angular coupling.

How to interpret this relation type

The target is a model, idealization, restricted ansatz, approximation scheme, phenomenological fit, or historical representation used for the source system or theory. It need not have a universal small error parameter and is not thereby a controlled limit or effective theory. The edge label and detail must identify the precise status.

Relation sources

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Each relation below starts at this concept.

jj couplingAtomic term symbol

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

In jjjj coupling, term labels record the coupled one-electron jij_i values and total JJ.

How to interpret this relation type

The target represents a state, property, observable, or state-dependent description associated with the source system or theory.

Relation sources