Electron‐pair extracule densities for low‐lying excited states of He and Li<sup>+</sup>
Bibliographic record
Abstract
Abstract The electron‐pair extracule density is the probability density function for the position vector of the center‐of‐mass of an electron pair. Accurate calculations of spherically averaged extracule densities d(R) and their moments are reported for the 2 3 S, 2 3 P, and 2 1 P states of the helium atom and lithium cation. The computations are based on explicitly correlated wave functions with energy errors of only 2–3 nanohartrees. The role of electron correlation is probed by comparison with Hartree‐Fock calculations, and Fermi correlation is probed by the differences between the singlet and triplet P states. © 2010 Wiley Periodicals, Inc. Int J Quantum Chem, 2011
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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) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| 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".