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 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 | 0.006 | 0.008 |
| Meta-epidemiology (narrow) | 0.006 | 0.011 |
| Meta-epidemiology (broad) | 0.003 | 0.010 |
| Bibliometrics | 0.003 | 0.006 |
| Science and technology studies | 0.010 | 0.010 |
| Scholarly communication | 0.008 | 0.009 |
| Open science | 0.010 | 0.011 |
| Research integrity | 0.009 | 0.011 |
| Insufficient payload (model declined to judge) | 0.141 | 0.008 |
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; both teacher heads agree on what is shown here.
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".