Born–Oppenheimer approximation

E1297

molecular quantum mechanics method quantum mechanical approximation theoretical chemistry concept

The Born–Oppenheimer approximation is a fundamental method in molecular quantum mechanics that simplifies calculations by treating nuclear motion as much slower than electronic motion, allowing their behaviors to be separated.

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All labels observed (3)

Label	Occurrences
Born–Oppenheimer approximation canonical	11
Born–Oppenheimer molecular dynamics	2
Born–Oppenheimer separation of variables	1

How this entity was disambiguated

This entity first appeared as the object of triple T18924 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07

Target entity: Born–Oppenheimer approximation
Context triple: [Julius Robert Oppenheimer, notableIdea, Born–Oppenheimer approximation]

A. Oppenheimer–Phillips process
The Oppenheimer–Phillips process is a nuclear reaction mechanism in which a deuteron interacting with a target nucleus effectively transfers its neutron while the proton is repelled, enabling certain reactions to occur at lower energies than would otherwise be required.
B. Nash embedding theorem
The Nash embedding theorem is a fundamental result in differential geometry that shows any Riemannian manifold can be isometrically embedded into some Euclidean space, thereby realizing abstract curved spaces as concrete subsets of standard Euclidean space.
C. Moore
Moore is the middle name of Edward M. Kennedy, the long-serving U.S. senator from Massachusetts and prominent member of the Kennedy political family.
D. Differential analyzer
The Differential Analyzer is an early analog mechanical computer designed to solve differential equations using interconnected rotating shafts and wheels.
E. Porter
Porter is a transit station in Cambridge, Massachusetts that serves both MBTA commuter rail and Red Line subway services.
F. None of above. chosen
G. Unsure - the case is ambiguous/there is not enough information to decide.

NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07

Target entity: Born–Oppenheimer approximation
Target entity description: The Born–Oppenheimer approximation is a fundamental method in molecular quantum mechanics that simplifies calculations by treating nuclear motion as much slower than electronic motion, allowing their behaviors to be separated.

A. Feynman–Hellmann theorem
The Feynman–Hellmann theorem is a result in quantum mechanics that relates the derivative of an energy eigenvalue with respect to a parameter in the Hamiltonian to the expectation value of the corresponding derivative of the Hamiltonian.
B. Oppenheimer–Phillips process
The Oppenheimer–Phillips process is a nuclear reaction mechanism in which a deuteron interacting with a target nucleus effectively transfers its neutron while the proton is repelled, enabling certain reactions to occur at lower energies than would otherwise be required.
C. Nash embedding theorem
The Nash embedding theorem is a fundamental result in differential geometry that shows any Riemannian manifold can be isometrically embedded into some Euclidean space, thereby realizing abstract curved spaces as concrete subsets of standard Euclidean space.
D. Moore
Moore is the middle name of Edward M. Kennedy, the long-serving U.S. senator from Massachusetts and prominent member of the Kennedy political family.
E. Feynman Lectures on Physics
Feynman Lectures on Physics is a renowned three-volume introductory physics textbook based on Richard Feynman’s legendary Caltech lectures, celebrated for its clarity, depth, and engaging style.
F. None of above. chosen

Statements (49)

Predicate	Object
instanceOf	molecular quantum mechanics method ⓘ quantum mechanical approximation ⓘ theoretical chemistry concept ⓘ
appliesTo	molecular ions ⓘ molecules ⓘ polyatomic molecules ⓘ
approximationType	adiabatic approximation ⓘ clamped-nuclei approximation ⓘ
assumes	electronic wavefunction depends parametrically on nuclear coordinates ⓘ nuclear kinetic energy operator can be neglected in electronic problem ⓘ
basedOnAssumption	electronic and nuclear motions can be separated ⓘ nuclei move much more slowly than electrons ⓘ
coreIdea	electrons adjust instantaneously to nuclear positions ⓘ separation of electronic and nuclear wavefunctions ⓘ
enables	calculation of molecular electronic structure ⓘ definition of potential energy surfaces ⓘ vibrational and rotational spectroscopy analysis ⓘ
field	molecular physics ⓘ quantum chemistry ⓘ theoretical chemistry ⓘ
hasLimitation	breaks down for strong nonadiabatic couplings ⓘ breaks down near conical intersections ⓘ less accurate for highly excited electronic states ⓘ less accurate for light nuclei such as hydrogen ⓘ
hasRefinement	Born–Huang expansion ⓘ diabatic representation methods ⓘ nonadiabatic coupling corrections ⓘ
historicalPublicationYear	1927 ⓘ
importantFor	chemical reaction dynamics ⓘ computational chemistry ⓘ interpretation of molecular spectra ⓘ photochemistry ⓘ solid-state physics models of lattice vibrations ⓘ
introducedIn	paper by Max Born and J. Robert Oppenheimer ⓘ
namedAfter	J. Robert Oppenheimer ⓘ Max Born ⓘ
relatedConcept	adiabatic potential energy surface ⓘ conical intersection ⓘ nonadiabatic transitions ⓘ vibronic coupling ⓘ
resultsIn	effective nuclear Hamiltonian on a potential energy surface ⓘ separate electronic and nuclear Schrödinger equations ⓘ
usedIn	Born–Oppenheimer molecular dynamics ⓘ linked to: Born–Oppenheimer approximation Franck–Condon principle ⓘ Hartree–Fock calculations ⓘ ab initio quantum chemistry ⓘ density functional theory ⓘ molecular dynamics simulations ⓘ vibronic coupling analysis ⓘ

How these facts were elicited

Referenced by (14)

Full triples — surface form annotated when it differs from this entity's canonical label.

Julius Robert Oppenheimer → notableIdea → Born–Oppenheimer approximation ⓘ

subject linked to: Julius

Born–Oppenheimer approximation → usedIn → Born–Oppenheimer molecular dynamics ⓘ

linked to: Born–Oppenheimer approximation

Franck–Condon principle → basedOn → Born–Oppenheimer approximation ⓘ

Franck–Condon principle → relatedTo → Born–Oppenheimer approximation ⓘ

Born–Huang expansion → basedOn → Born–Oppenheimer approximation ⓘ

Born–Huang expansion → improvesUpon → Born–Oppenheimer approximation ⓘ

Max Born → knownFor → Born–Oppenheimer approximation ⓘ

Herzberg–Teller approximation → relatedTo → Born–Oppenheimer approximation ⓘ

Longuet-Higgins theorem in molecular symmetry → involves → Born–Oppenheimer approximation ⓘ

Condon approximation → basedOn → Born–Oppenheimer approximation ⓘ

Condon approximation → involves → Born–Oppenheimer separation of variables ⓘ

linked to: Born–Oppenheimer approximation

Hartree–Fock method → usesApproximation → Born–Oppenheimer approximation ⓘ

Condon–Morse potential → relatedTo → Born–Oppenheimer approximation ⓘ

CP2K → supportsMethod → Born–Oppenheimer molecular dynamics ⓘ

linked to: Born–Oppenheimer approximation

All labels observed (3)

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Statements (49)

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Referenced by (14)

How this entity was disambiguated

How these facts were elicited