Bohr radius
E160625
The Bohr radius is a fundamental physical constant that represents the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Bohr radius canonical | 5 |
How this entity was disambiguated
This entity first appeared as the object of triple T1403719 — 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: Bohr radius Context triple: [CODATA recommended values of the fundamental physical constants, includesConstant, Bohr radius]
-
A.
Bohr magneton
The Bohr magneton is a fundamental physical constant that represents the natural unit of the electron’s magnetic moment in atomic physics.
-
B.
Planck constant
The Planck constant is a fundamental physical constant that quantifies the relationship between the energy of a photon and the frequency of its associated electromagnetic wave, forming a cornerstone of quantum mechanics.
-
C.
Schwarzschild radius
The Schwarzschild radius is the critical distance from the center of a non-rotating, spherically symmetric mass at which its escape velocity equals the speed of light, defining the boundary of a black hole.
-
D.
Planck length
The Planck length is the fundamental unit of length in quantum gravity, representing the scale at which classical concepts of space and time are expected to break down.
-
E.
Bohr model of the atom
The Bohr model of the atom is an early quantum theory in which electrons orbit the nucleus in discrete, quantized energy levels, explaining atomic spectra such as that of hydrogen.
- 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: Bohr radius Target entity description: The Bohr radius is a fundamental physical constant that represents the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state.
-
A.
Bohr magneton
The Bohr magneton is a fundamental physical constant that represents the natural unit of the electron’s magnetic moment in atomic physics.
-
B.
Planck constant
The Planck constant is a fundamental physical constant that quantifies the relationship between the energy of a photon and the frequency of its associated electromagnetic wave, forming a cornerstone of quantum mechanics.
-
C.
Schwarzschild radius
The Schwarzschild radius is the critical distance from the center of a non-rotating, spherically symmetric mass at which its escape velocity equals the speed of light, defining the boundary of a black hole.
-
D.
Planck length
The Planck length is the fundamental unit of length in quantum gravity, representing the scale at which classical concepts of space and time are expected to break down.
-
E.
Bohr model of the atom
The Bohr model of the atom is an early quantum theory in which electrons orbit the nucleus in discrete, quantized energy levels, explaining atomic spectra such as that of hydrogen.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
atomic physics constant
ⓘ
physical constant ⓘ |
| appearsIn | Schrödinger equation solution for hydrogen ⓘ |
| appliesTo |
hydrogen atom
ⓘ
hydrogen-like atom ⓘ |
| approximateValueAngstrom | 0.529 Å ⓘ |
| category |
Atomic physics
ⓘ
Fundamental constants ⓘ Quantum mechanics ⓘ
linked to:
quantum mechanics
|
| characterizes | size scale of hydrogen atom ⓘ |
| CODATARecommended | yes ⓘ |
| CODATAVersion | 2018 ⓘ |
| context | non-relativistic hydrogen-like atoms ⓘ |
| dependsOn |
electron mass
ⓘ
elementary charge ⓘ fine-structure constant ⓘ reduced Planck constant ⓘ speed of light in vacuum ⓘ vacuum permittivity ⓘ |
| describes | most probable distance between electron and nucleus in hydrogen ground state ⓘ |
| dimension | length ⓘ |
| expectationValueRelation | ⟨r⟩(1s hydrogen) = 1.5 a₀ ⓘ |
| formula |
a₀ = 4πϵ₀ħ² / (mₑ e²)
ⓘ
a₀ = ħ / (mₑ c α) ⓘ |
| inverselyProportionalTo |
electron mass
ⓘ
fine-structure constant ⓘ |
| is | atomic unit of length ⓘ |
| mostProbableRadiusRelation | r_mp(1s hydrogen) = a₀ ⓘ |
| namedAfter | Niels Bohr ⓘ |
| orderOfMagnitude | 10^-10 metre ⓘ |
| proportionalTo |
reduced Planck constant squared
ⓘ
vacuum permittivity ⓘ |
| relatedTo |
Bohr energy levels
ⓘ
linked to:
Bohr model of the atom
Bohr model ⓘ
linked to:
Bohr model of the atom
Rydberg constant ⓘ atomic unit of length ⓘ |
| scalesWith | inverse of reduced mass of electron–nucleus system ⓘ |
| state | ground state ⓘ |
| symbol |
a_0
ⓘ
a₀ ⓘ |
| unit | metre ⓘ |
| usedAs | natural length scale in atomic units ⓘ |
| usedIn |
atomic physics
ⓘ
quantum mechanics ⓘ spectroscopy ⓘ theoretical chemistry ⓘ |
| valueSI | 5.29177210903e-11 metre ⓘ |
| valueSIUncertainty | 3.6e-21 metre ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Bohr radius Description of subject: The Bohr radius is a fundamental physical constant that represents the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.