What question did this study set out to answer?

Establish a systematic classification scheme for all doubly excited states of two-electron atoms by analyzing electron correlation patterns.

March 1, 1984Physical Review A

Classification and supermultiplet structure of doubly excited states

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Authors

CLC. D. LinMott MacDonald (United Kingdom)

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Implication

Theoretical analysis reveals a unified correlation classification in two-electron atoms, indicating rotor-like supermultiplet patterns across doubly excited energy levels.

Key Points

Establish a systematic classification scheme for all doubly excited states of two-electron atoms by analyzing electron correlation patterns.
Analyzed electron correlations in hyperspherical coordinates across arbitrary orbital angular momentum, spin, and parity states.
Introduced a new set of internal correlation quantum numbers, with (K,T) describing angular correlations and A describing radial correlations.
Mapped rotation-averaged surface charge densities and channel potential curves to evaluate isomorphic correlation patterns.
States sharing identical (K,T) values exhibit isomorphic correlation patterns, demonstrating that supermultiplet structures extend to all states with radial quantum numbers A = +1 or -1 regardless of overall L, S, and parity.
Constructed Grotrian diagrams based on correlation quantum numbers that display distinct rotor-like structures capable of identifying missing or misclassified atomic levels.
Demonstrated that A = 0 states behave similarly to singly excited states with triplet levels lying below singlets, and formulated approximate selection rules for electron scattering and photoabsorption.

Cite This Study

C. D. Lin (1984) studied this question.

synapsesocial.com/papers/6a8cf58e58db4b48d89680f9 https://doi.org/10.1103/physreva.29.1019

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Implication

Theoretical analysis reveals a unified correlation classification in two-electron atoms, indicating rotor-like supermultiplet patterns across doubly excited energy levels.

Classification and supermultiplet structure of doubly excited states

Discussion

Member takes

Implication

Key Points

Cite This Study

Classification and supermultiplet structure of doubly excited states

Discussion

Member takes

Implication

Key Points

Cite This Study

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