Energy, fine structure, and transition rate of the doubly excited <sup>3</sup>P<sup>e</sup> and <sup>3</sup>D<sup>e</sup> states for helium
Bibliographic record
Abstract
Energies and fine-structure corrections for the doubly excited 3 P e and 3 D e states of the helium atom are calculated using the RayleighRitz variational method and the saddle-point variational method with a multiconfiguration-interaction function. The relativistic and mass polarization corrections are included. The oscillator strengths, transition rates, and wavelengths are also calculated. The doubly excited states are grouped into Rydberg series labeled by the quantum numbers K, T, and A to display the systematic regularity along the series. The results are compared with the theoretical and experimental data in the literature. PACS Nos.: 31.15.Pf, 31.25.Jf, 32.70.Cs
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".