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Rate law

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Summary

A mathematical relation between reaction rate and state variables or species activities, determined by mechanism or experiment rather than overall stoichiometry alone.

Record metadata

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Chemical kineticsRate law

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

A rate law is an empirical or mechanism-derived model of chemical kinetics valid over stated composition, temperature, pressure, phase, and transport regimes.

How to interpret this relation type

The target is a model, idealization, restricted ansatz, approximation scheme, phenomenological fit, or historical representation used for the source system or theory. It need not have a universal small error parameter and is not thereby a controlled limit or effective theory. The edge label and detail must identify the precise status.

Relation sources

Collision theoryRate law

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

For simple gas reactions, collision theory estimates rate coefficients from collision and reaction probabilities.

How to interpret this relation type

The target is a model, idealization, restricted ansatz, approximation scheme, phenomenological fit, or historical representation used for the source system or theory. It need not have a universal small error parameter and is not thereby a controlled limit or effective theory. The edge label and detail must identify the precise status.

Relation sources

Chemical concentrationRate law

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Concentrations supply commonly used kinetic variables, while activities, surface coverages, particle numbers, or spatial fields can be required outside dilute well-mixed regimes.

How to interpret this relation type

The source supplies a substantive formal ingredient, dynamical sector, law, field content, or mechanism of the target theoretical framework.

Relation sources

Law of mass actionRate law

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Mass-action kinetics gives elementary-step rates proportional to reactant activities or concentrations under its regime; empirical overall reaction orders need not equal stoichiometric coefficients.

How to interpret this relation type

A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.

Relation sources

Rate-determining stepRate law

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Rate control can determine an approximate rate law only with the accompanying mechanistic assumptions; a single slow-step slogan is insufficient when steps are coupled or partially reversible.

How to interpret this relation type

A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.

Relation sources

Reaction mechanismRate law

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

A proposed mechanism yields a rate law only after approximations, conservation equations, and initial conditions are stated.

How to interpret this relation type

A theory, law, or interaction describes the behavior of the target within a stated regime. The edge detail must state important limits or qualifications.

Relation sources

Transition-state theoryRate law

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Transition-state theory connects an activated-complex partition function and free-energy barrier to a rate coefficient.

How to interpret this relation type

The target is a model, idealization, restricted ansatz, approximation scheme, phenomenological fit, or historical representation used for the source system or theory. It need not have a universal small error parameter and is not thereby a controlled limit or effective theory. The edge label and detail must identify the precise status.

Relation sources

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