R∞
E629516
R∞ is the Rydberg constant, a fundamental physical constant that characterizes the limiting value of the highest wavenumber (or lowest wavelength) of any photon that can be emitted from the hydrogen atom.
All labels observed (1)
| Label | Occurrences |
|---|---|
| R∞ canonical | 1 |
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
fundamental constant
ⓘ
physical constant ⓘ spectroscopic constant ⓘ |
| abbreviationOf | Rydberg constant for infinite mass ⓘ |
| alsoKnownAs | Rydberg constant for infinite nuclear mass ⓘ |
| appearsInFormula |
1/λ = R∞ (1/n₁² − 1/n₂²)
ⓘ
Eₙ = −hcR∞/n² for hydrogen in infinite nuclear mass limit ⓘ |
| appliesTo |
hydrogen atom
ⓘ
one‑electron atoms in the infinite nuclear mass limit ⓘ |
| belongsTo | International System of Quantities NERFINISHED ⓘ |
| characterizes |
limiting value of highest wavenumber of photons from hydrogen
ⓘ
limiting value of lowest wavelength of photons from hydrogen ⓘ |
| contrastsWith | R_H ⓘ |
| differenceFrom | R_H includes reduced mass correction for hydrogen nucleus NERFINISHED ⓘ |
| field |
atomic physics
ⓘ
fundamental metrology ⓘ spectroscopy ⓘ |
| hasExpression |
R∞ = mₑ e⁴ / (8 ε₀² h³ c)
ⓘ
R∞ = α² mₑ c / (2h) ⓘ |
| hasPhysicalQuantityType | wavenumber ⓘ |
| hasRole | scale factor for hydrogenic spectra ⓘ |
| hasSIUnit | per metre ⓘ |
| hasSIUnitSymbol | m⁻¹ ⓘ |
| isDefinedAs | limiting wavenumber of the Lyman series of hydrogen ⓘ |
| isDimension | L⁻¹ ⓘ |
| isFor | nuclear mass taken as infinite ⓘ |
| isMaintainedBy | Committee on Data for Science and Technology NERFINISHED ⓘ |
| isMeasuredBy | high‑precision spectroscopy of hydrogen and deuterium ⓘ |
| isOneOf | most accurately known physical constants ⓘ |
| isPositive | true ⓘ |
| namedAfter | Johannes Rydberg NERFINISHED ⓘ |
| relatedTo |
Planck constant h
NERFINISHED
ⓘ
electron mass mₑ ⓘ elementary charge e ⓘ fine‑structure constant α ⓘ speed of light c ⓘ vacuum permittivity ε₀ ⓘ |
| symbolOf | Rydberg constant NERFINISHED ⓘ |
| usedIn |
atomic spectroscopy
ⓘ
determination of other fundamental constants ⓘ precision tests of quantum electrodynamics ⓘ quantum mechanics ⓘ |
| usedToCalculate |
energy levels of hydrogen‑like atoms
ⓘ
ionization energy of hydrogen ⓘ spectral line positions in hydrogen ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.