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Potential-energy surface

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Summary

Electronic energy plus specified corrections as a function of nuclear coordinates on a chosen electronic state or coupled set of states.

Record metadata

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

Born–Oppenheimer approximationPotential-energy surface

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

Authored explanation

Electronic eigenvalues parameterized by nuclear coordinates define adiabatic surfaces, supplemented by derivative couplings near nonadiabatic regions.

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

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

Potential-energy surfaceEquation of motion

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

Authored explanation

Within an adiabatic electronic-state approximation, gradients of a molecular potential-energy surface supply forces in nuclear equations of motion; nonadiabatic transitions require coupled surfaces and additional terms.

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

Potential-energy surfaceMolecular vibration

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

Authored explanation

Curvature and anharmonic shape near minima govern vibrational frequencies and mode coupling.

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

Potential-energy surfaceReaction coordinate

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

Authored explanation

Reaction coordinates trace selected directions on a multidimensional free-energy or potential-energy landscape and need not define a unique trajectory.

How to interpret this relation type

The target represents a state, property, observable, or state-dependent description associated with the source system or theory.

Relation sources

Potential-energy surfaceTransition state

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

Authored explanation

A first-order saddle often approximates a transition structure, while dynamical recrossing and entropic coordinates can shift the kinetic bottleneck.

How to interpret this relation type

The target represents a state, property, observable, or state-dependent description associated with the source system or theory.

Relation sources