ConstantID

Proton molar mass

Atomic & nuclearMeasured

M(p) = 1.007 276 467 64(31) × 10−3 kg mol−1

Value
1.007 276 467 64 × 10−3 kg mol−1
Standard uncertainty
3.1 × 10−13 kg mol−1
Relative uncertainty
3.1 × 10−10 (308 parts per trillion)
Status
Measured
Symbol
M(p)
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# proton molar mass, CODATA 2022 (NIST)
proton_molar_mass = 1.00727646764e-3  # kg mol^-1, standard uncertainty 3.1e-13

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

What it is

The mass of one mole of protons (proton), in kilograms per mole.

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 molar mass: CODATA values 1998–2022 relative to the 2022 value, in parts per trillion, with one-standard-uncertainty bars−2000−10000+1000+2000parts per trillion1998200220062010201420182022

Relative uncertainty

proton molar mass: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻¹¹10⁻¹⁰10⁻⁹1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20221.007 276 467 64(31) × 10−33.1 × 10−10 +4.4 σ of 2018
20181.007 276 466 27(31) × 10−33.1 × 10−10 −6.7 σ of 2014
20141.007 276 466 879(91) × 10−39.0 × 10−11 +0.7 σ of 2010
20101.007 276 466 812(90) × 10−38.9 × 10−11 +0.4 σ of 2006
20061.007 276 466 77(10) × 10−39.9 × 10−11 −0.8 σ of 2002
20021.007 276 466 88(13) × 10−31.3 × 10−10 +0.0 σ of 1998
19981.007 276 466 88(13) × 10−31.3 × 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