ConstantID

Proton mass energy equivalent in MeV

Atomic & nuclearMeasured

mpc2 = 938.272 089 43(29) MeV

Value
938.272 089 43 MeV
Standard uncertainty
2.9 × 10−7 MeV
Relative uncertainty
3.1 × 10−10 (309 parts per trillion)
Status
Measured
Symbol
mpc2
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# proton mass energy equivalent in MeV, CODATA 2022 (NIST)
proton_mass_energy_equivalent_in_mev = 9.3827208943e2  # MeV, standard uncertainty 2.9e-7

# SciPy: scipy.constants.physical_constants['proton mass energy equivalent in MeV']

What it is

The rest energy (mass × c²) of the proton, the nucleus of the hydrogen atom, in mega-electronvolts, the unit particle physicists use.

In other units

UnitValue
CGS (cm2 g s−2)0.001 503 277 618
keV kiloelectronvolt938 272.089 43
GeV gigaelectronvolt0.938 272 089 43
erg erg0.001 503 277 618

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).

proton mass energy equivalent in MeV: CODATA values 1998–2022 relative to the 2022 value, in parts per billion, with one-standard-uncertainty bars−150−100−500+50+100+150parts per billion1998200220062010201420182022

Relative uncertainty

proton mass energy equivalent in MeV: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻¹⁰10⁻⁹10⁻⁸10⁻⁷1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
2022938.272 089 43(29)3.1 × 10−10 +4.4 σ of 2018
2018938.272 088 16(29)3.1 × 10−10 +1.2 σ of 2014
2014938.272 0813(58)6.2 × 10−9 +1.7 σ of 2010
2010938.272 046(21)2.2 × 10−8 +1.4 σ of 2006
2006938.272 013(23)2.5 × 10−8 −0.2 σ of 2002
2002938.272 028(80)8.5 × 10−8 +0.8 σ of 1998
1998938.271 998(38)4.0 × 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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