Coming to Grips with N−H···N Bonds. 1. Distance Relationships and Electron Density at the Bond Critical Point
Bibliographic record
Abstract
In an attempt to discover and analyze trends in distance relationships and properties at the bond critical point (BCP) in linear or near-linear N−H···N hydrogen bonds, the geometry of such bonds in a large number of suitable simple chemical species was optimized at the RHF/6-31G** level. The results for 67 of these are reported here; the geometry of 19 of them was optimized also at the MP2/6-31G** level. Correlations between the internuclear N−H, H···N, and N···N separations as well as between the N···BCP and H···BCP distances for these data sets and for different model functions are described in detail. The special case of symmetric N−H−N bonds is discussed; comparison with available experimental evidence shows that the correlation functions derived from the ab initio data have useful predictive value for crystallographic determinations involving short N−H−N bonds. Analysis of the correlation between the d (N−H) distance and the electron density ρ c at the BCP has shown that although acceptable d,ρ c representations are obtained when ρ c is fitted over the entire d (N−H) range by a single model function, significantly better fits result for both the 6-31G** and the MP2/6-31G** set when two separate regression functions of the same type are used, one for the covalent and another for the H···N bonds. The implications of these findings are discussed. The results of the correlation analysis of the curvatures λ i, the Laplacians ∇ 2 ρ c, and the kinetic energy densities at the BCP, based on the data presented in this paper, will be reported in a subsequent paper, together with some aspects of the energy of formation of the N−H···N bonds.
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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) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.003 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.001 | 0.002 |
| Insufficient payload (model declined to judge) | 0.005 | 0.001 |
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".