ConstantID

Natural unit of momentum in MeV/c

UnitsMeasured

mec = 0.510 998 950 69(16) MeV/c

Value
0.510 998 950 69 MeV/c
Standard uncertainty
1.6 × 10−10 MeV/c
Relative uncertainty
3.1 × 10−10 (313 parts per trillion)
Status
Measured
Symbol
mec
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# natural unit of momentum in MeV/c, CODATA 2022 (NIST)
natural_unit_of_momentum_in_mev_c = 5.1099895069e-1  # MeV/c, standard uncertainty 1.6e-10

# SciPy: scipy.constants.physical_constants['natural unit of momentum in MeV/c']

What it is

The unit of momentum in the natural units of relativistic quantum mechanics, where ħ, c and the electron mass are set to 1.

In other units

UnitValue
CGS (cm g s−1)2.730 924 5344 × 10−17

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).

natural unit of momentum in MeV/c: 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

natural unit of momentum in MeV/c: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻¹⁰10⁻⁹10⁻⁸10⁻⁷1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20220.510 998 950 69(16)3.1 × 10−10 +4.6 σ of 2018
20180.510 998 950 00(15)2.9 × 10−10 +1.3 σ of 2014
20140.510 998 9461(31)6.1 × 10−9 +1.6 σ of 2010
20100.510 998 928(11)2.2 × 10−8 +1.4 σ of 2006
20060.510 998 910(13)2.5 × 10−8 −0.2 σ of 2002
20020.510 998 918(44)8.6 × 10−8 +0.8 σ of 1998
19980.510 998 902(21)4.1 × 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).

Related constants