Monocyclic Electrocyclic Transition States are Neither Favoured Nor Disfavoured if the Incipient Ring Bears More Than Two Odd Substituents
Bibliographic record
Abstract
A general case is presented that supports the conclusion that incipient p-bond orders, op1,j, are approximately zero if the incipient alternant ring bears more than two odd substituents. Hence, corresponding electrocyclic transition states are neither favoured nor disfavoured. The case is made using permethylene polyenes. After presentation of the novel application of dense Sachs’ subgraphs to the problem of convenient, rapid access to permethylene polyene characteristic polynomials, permethylene polyenes are shown to belong to the newly defined Hückel symmetrenes. Employing novel expressions for permethylene polyene molecular orbital coefficients, a general relationship for pairs of terms that lead to p-bond orders, op1,j, is obtained that, in turn, allows the key generalization to be made.
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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 | 0.000 | 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 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.004 | 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 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".