ConstantID

Proton mass in u

Atomic & nuclearMeasured

mp = 1.007 276 466 5789(83) u

Value
1.007 276 466 5789 u
Standard uncertainty
8.3 × 10−12 u
Relative uncertainty
8.2 × 10−12 (8.2 parts per trillion)
Status
Measured
Symbol
mp
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# proton mass in u, CODATA 2022 (NIST)
proton_mass_in_u = 1.0072764665789  # u, standard uncertainty 8.3e-12

# SciPy: scipy.constants.physical_constants['proton mass in u']

What it is

The rest mass of the proton, the nucleus of the hydrogen atom, in unified atomic mass units (daltons), where 1 u is one twelfth of the mass of a carbon-12 atom.

In other units

UnitValue
CGS (g)1.672 621 925 96 × 10−24
MeV/c² MeV / c²938.272 089 433
GeV/c² GeV / c²0.938 272 089 433

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 in u: CODATA values 1998–2022 relative to the 2022 value, in parts per trillion, with one-standard-uncertainty bars−600−400−2000+200+400+600parts per trillion1998200220062010201420182022

Relative uncertainty

proton mass in u: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻¹²10⁻¹¹10⁻¹⁰10⁻⁹1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20221.007 276 466 5789(83)8.2 × 10−12 −0.8 σ of 2018
20181.007 276 466 621(53)5.3 × 10−11 −2.8 σ of 2014
20141.007 276 466 879(91)9.0 × 10−11 +0.7 σ of 2010
20101.007 276 466 812(90)8.9 × 10−11 +0.4 σ of 2006
20061.007 276 466 77(10)9.9 × 10−11 −0.8 σ of 2002
20021.007 276 466 88(13)1.3 × 10−10 +0.0 σ of 1998
19981.007 276 466 88(13)1.3 × 10−10

“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).

Related constants