The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Unified statistical model for ’’complex’’ and ’’direct’’ reaction mechanisms
Abstract
A unified statistical theory for bimolecular chemical reactions is developed. In the limit of a ’’direct’’ mechanism it becomes the usual transition state theory, which is correct for this situation, and if the reaction proceeds via a long-lived collision complex it reduces to the statistical model of Light and Nikitin. A general criterion for locating the ’’dividing surfaces’’ that are central to statistical theory is also discussed. This prescription (Keck’s variational principle) is shown not only to locate the usual dividing surfaces that pass through saddle points and minima of the potential energy surface, but it also selects the critical surfaces relevant to the ’’orbiting’’ and ’’nonadiabatic trapping’’ models of complex formation.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Wigner, E. (1938) · Transactions of the Faraday Society · doi:10.1039/tf9383400029 · Cited by 846
Quantum mechanical transition state theory and a new semiclassical model for reaction rate constants
Miller, W. H. (1974) · The Journal of Chemical Physics · doi:10.1063/1.1682181 · Cited by 697
Self-citationSemiclassical limit of quantum mechanical transition state theory for nonseparable systems
Miller, W. H. (1975) · The Journal of Chemical Physics · doi:10.1063/1.430676 · Cited by 669
Self-citationOn the Analytical Mechanics of Chemical Reactions. Quantum Mechanics of Linear Collisions
Marcus, R. A. (1966) · The Journal of Chemical Physics · doi:10.1063/1.1727528 · Cited by 540
Variational Theory of Reaction Rates
Keck, J. C. (1967) · Advances in Chemical Physics · doi:10.1002/9780470140154.ch5 · Cited by 531
Statistical theory of bimolecular exchange reactions
Light, J. C. (1967) · Discussions of the Faraday Society · doi:10.1039/df9674400014 · Cited by 340
Some Quantum-Mechanical Considerations in the Theory of Reactions Involving an Activation Energy
Hirschfelder, J. O., & Wigner, E. (1939) · The Journal of Chemical Physics · doi:10.1063/1.1750500 · Cited by 291
The theory of absolute reaction rates
Eyring, H. (1938) · Transactions of the Faraday Society · doi:10.1039/tf9383400041 · Cited by 220
Chapman, S., Garrett, B. C., & Miller, W. H. (1975) · The Journal of Chemical Physics · doi:10.1063/1.431620 · Cited by 150
Self-citationQuantum transition state theory
McLafferty, F. J., & Pechukas, P. (1974) · Chemical Physics Letters · doi:10.1016/0009-2614(74)80293-9 · Cited by 93
Cited by
Current Status of Transition-State Theory
Truhlar, D. G., Garrett, B. C., & Klippenstein, S. J. (1996) · The Journal of Physical Chemistry · doi:10.1021/jp953748q · Cited by 2,279
Quantum mechanical rate constants for bimolecular reactions
Miller, W. H., Schwartz, S. D., & Tromp, J. W. (1983) · The Journal of Chemical Physics · doi:10.1063/1.445581 · Cited by 910
Self-citation
Metadata
- Authors
- Miller, W. H.
- Venue
- The Journal of Chemical Physics
- Publisher
- AIP Publishing
- Published
- 1976-09-15
- Volume
- 65
- Issue
- 6
- Pages
- 2216-2223
- ISSN
- 0021-9606 (ISSN-L)
- 1089-7690
- OpenAlex
- W2038690902
- Cited by
- 347
- References
- 12
- FWCI
- 6.29
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Unified statistical model for ’’complex’’ and ’’direct’’ reaction mechanisms. https://app.cochat.ai/papers/10.1063/1.433379
- The paper
- Miller, W. H. (1976). Unified statistical model for ’’complex’’ and ’’direct’’ reaction mechanisms. The Journal of Chemical Physics. https://doi.org/10.1063/1.433379
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.