Free Energy Profiles for the Identity S<sub>N</sub>2 Reactions Cl<sup>-</sup> + CH<sub>3</sub>Cl and NH<sub>3</sub> + H<sub>3</sub>BNH<sub>3</sub>: A Constraint <i>Ab Initio</i> Molecular Dynamics Study
Bibliographic record
Abstract
Density functional theory (DFT) together with Car-Parrinello ab initio molecular dynamics (CP-AIMD) simulation has been used to investigate the free energy profiles of two representative S N 2 reactions: (A) Cl - + CH 3 Cl → ClCH 3 + Cl -; (B) NH 3 + H 3 BNH 3 → H 3 NBH 3 + NH 3 . The free energy profiles along the reaction coordinates at 300 K and 600 K were determined directly by a pointwise thermodynamic integration (PTI) technique. Comparison between the well-known double-well potential energy profile (PEP) and the free energy profiles (FEP) has been made. The results show that, for reaction A, the double-well profile is maintained for the FEP at 300 K due to the stronger ion−dipole interaction between chloromethane and the chloride anion. In comparison with the PEP, the FEP has a higher central barrier and a more shallow well depth. However, at 600 K the double wells almost disappear on the FEP, whereas the central barrier increases further. For reaction B, the 300 K FEP also presents a higher central barrier peak and a more shallow well depth compared to the PEP. However, when the temperature increases to 600 K, a saddle shape FEP is obtained, which indicates that the reaction has changed mechanism from an associative S N 2 reaction to a dissociative S N 1 reaction. This change is driven by entropy.
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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 | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.002 | 0.002 |
| Meta-epidemiology (broad) | 0.002 | 0.002 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.002 | 0.002 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.000 | 0.003 |
| 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; 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".