ConstantID

Neutron-proton mass difference energy equivalent in MeV

Atomic & nuclearMeasured

(mn−mp)c2 = 1.293 332 51(38) MeV

Value
1.293 332 51 MeV
Standard uncertainty
3.8 × 10−7 MeV
Relative uncertainty
2.9 × 10−7 (294 parts per billion)
Status
Measured
Symbol
(mn−mp)c2
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# neutron-proton mass difference energy equivalent in MeV, CODATA 2022 (NIST)
neutron_proton_mass_difference_energy_eq = 1.29333251  # MeV, standard uncertainty 3.8e-7

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

What it is

The neutron–proton mass difference expressed as an energy, in mega-electronvolts: the energy available, apart from recoil, when a free neutron decays.

In other units

UnitValue
CGS (cm2 g s−2)2.072 147 13 × 10−6
eV electronvolt1 293 332.51
keV kiloelectronvolt1293.332 51
GeV gigaelectronvolt0.001 293 332 51
Eₕ hartree47 529.0931unit is itself measured
Ry rydberg95 058.1862unit 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).

neutron-proton mass difference energy equivalent in MeV: CODATA values 1998–2022 relative to the 2022 value, in parts per billion, with one-standard-uncertainty bars−750−500−2500+250+500+750parts per billion1998200220062010201420182022

Relative uncertainty

neutron-proton mass difference energy equivalent in MeV: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻⁸10⁻⁷10⁻⁶1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20221.293 332 51(38)2.9 × 10−7 +0.3 σ of 2018
20181.293 332 36(46)3.6 × 10−7

“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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