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 4

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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
surface form: 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 model of the atom
surface form: Bohr energy levels

Bohr model of the atom
surface form: Bohr model

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

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Referenced by (4)

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

h-bar relatedConcept Bohr radius
subject surface form: ħ
Rydberg constant relatedTo Bohr radius