ConstantID

Rydberg constant times hc in J

Atomic & nuclearMeasured

R∞hc = 2.179 872 361 1030(24) × 10−18 J

Value
2.179 872 361 1030 × 10−18 J
Standard uncertainty
2.4 × 10−30 J
Relative uncertainty
1.1 × 10−12 (1.1 parts per trillion)
Status
Measured
Symbol
R∞hc
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# Rydberg constant times hc in J, CODATA 2022 (NIST)
rydberg_constant_times_hc_in_j = 2.179872361103e-18  # J, standard uncertainty 2.4e-30

# SciPy: scipy.constants.physical_constants['Rydberg constant times hc in J']

What it is

The Rydberg energy R∞hc in joules: the ionisation energy of hydrogen in the heavy-nucleus limit, about 13.6 eV.

In other units

UnitValue
CGS (cm2 g s−2)2.179 872 3611 × 10−11
eV electronvolt13.605 693 123
keV kiloelectronvolt0.013 605 693 123
Eₕ hartree0.5unit is itself measured
Ry rydberg1unit is itself measured

Converted with ConstantID's unit table; digits are rounded to the precision of the value, and a long exact value is rounded only for display. The relative uncertainty is unchanged by conversion to an exactly defined unit.

How the value changed, 1998–2022

Each point is one CODATA adjustment, plotted as its difference from the 2022 value; the bars show one standard uncertainty (an arrowhead means the bar runs off the chart).

Rydberg constant times hc in J: CODATA values 1998–2022 relative to the 2022 value, in parts per billion, with one-standard-uncertainty bars−300−200−1000+100+200+300parts per billion1998200220062010201420182022

Relative uncertainty

Rydberg constant times hc in J: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻¹²10⁻¹¹10⁻¹⁰10⁻⁹10⁻⁸10⁻⁷10⁻⁶1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20222.179 872 361 1030(24) × 10−181.1 × 10−12 −0.1 σ of 2018
20182.179 872 361 1035(42) × 10−181.9 × 10−12 +1.3 σ of 2014
20142.179 872 325(27) × 10−181.2 × 10−8 +1.6 σ of 2010
20102.179 872 171(96) × 10−184.4 × 10−8 +1.8 σ of 2006
20062.179 871 97(11) × 10−185.0 × 10−8 −0.3 σ of 2002
20022.179 872 09(37) × 10−181.7 × 10−7 +1.1 σ of 1998
19982.179 871 90(17) × 10−187.8 × 10−8

“Change from previous” is the shift in the value divided by the standard uncertainty of the previous adjustment. Earlier values are converted into the current unit where NIST changed it (for example J s to J Hz⁻¹).

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