Nonrelativistic<i>ab initio</i>calculations for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>2</mml:mn><mml:mtext> </mml:mtext><mml:mmultiscripts><mml:mi>S</mml:mi><mml:mprescripts/><mml:none/><mml:mn>2</mml:mn></mml:mmultiscripts></mml:mrow></mml:math>,<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>2</mml:mn><mml:mtext> </mml:mtext><mml:mmultiscripts><mml:mi>P</mml:mi><mml:mprescripts/><mml:none/><mml:mn>2</mml:mn></mml:mmultiscripts></mml:mrow></mml:math>, and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>3</mml:mn><mml:mtext> </mml:mtext><mml:mmultiscripts><mml:mi>D</mml:mi><mml:mprescripts/><mml:none/><mml:mn>2</mml:mn></mml:mmultiscripts></mml:mrow></mml:math>lithium isotopes: Applications to polarizabilities and dispersion interactions
Bibliographic record
Abstract
The electric dipole polarizabilities and hyperpolarizabilities for the lithium isotopes $^{6}\text{L}\text{i}$ and $^{7}\text{L}\text{i}$ in the ground state $2\text{ }^{2}S$ and the excited states $2\text{ }^{2}P$ and $3\text{ }^{2}D$, as well as the leading resonance and dispersion long-range coefficients for the $\text{Li}(2\text{ }^{2}S)\text{\ensuremath{-}}\text{Li}(2\text{ }^{2}S)$ and $\text{Li}(2\text{ }^{2}S)\text{-Li}(2\text{ }^{2}P)$ systems, are calculated nonrelativistically using variational wave functions in Hylleraas basis sets. Comparisons are made with published results, where available. We find that the value of the second hyperpolarizability of the $2\text{ }^{2}S$ state is sensitive to the isotopic mass due to a near cancellation between two terms. For the $3\text{ }^{2}D$ state polarizability tensor, the calculated components disagree with those measured in the sole experiment and with those calculated semiempirically.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.003 |
| Meta-epidemiology (narrow) | 0.002 | 0.001 |
| Meta-epidemiology (broad) | 0.003 | 0.003 |
| Bibliometrics | 0.002 | 0.004 |
| Science and technology studies | 0.004 | 0.001 |
| Scholarly communication | 0.003 | 0.004 |
| Open science | 0.006 | 0.002 |
| Research integrity | 0.003 | 0.005 |
| Insufficient payload (model declined to judge) | 0.158 | 0.062 |
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 source (direct Gemma or distilled Codex), 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".