Effects of Spin–Orbit Coupling on Covalent Bonding and the Jahn–Teller Effect Are Revealed with the Natural Language of Spinors
Bibliographic record
Abstract
The orbital-based natural language describing the complexity of chemistry ( Stowasser , R. ; Hoffmann , R. J. Am. Chem. Soc. 1999 , 121 , 3414 ) was extended by us recently to the definition of spin-orbit natural spinors ( Zeng , T. et al. J. Chem. Phys. 2011 , 134 , 214107 ). This novel method gives chemical insights into the role of spin-orbit coupling in covalent bonding and in the Jahn-Teller effect. The natural spinors are used to explain antibonding spin-orbit effects on TlH and Tl2: it is found that the spin-orbit induced charge transfer from the bonding to the nonbonding or antibonding orbitals has a large effect on the bond strength. The natural spinors are also used to explain the spin-orbit quenching of the Jahn-Teller effect in WF5: the spin-orbit interaction can stabilize the totally symmetric electron distribution so that the high-symmetry molecular structure becomes more stable than its distortions. A general discussion of the role of the spin-orbit coupling in covalent bonding and Jahn-Teller effect is given in terms of the competition between the rotational nature of the spin-orbit coupling and the directionality of the two effects. The natural spinors offer the advantage of providing a simple and clear pictorial explanation for the profound relativistic spin-dependent interactions in chemistry often appearing as a black box answer.
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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".