ConstantID

Natural unit of momentum

UnitsMeasured

mec = 2.730 924 534 46(85) × 10−22 kg m s−1

Value
2.730 924 534 46 × 10−22 kg m s−1
Standard uncertainty
8.5 × 10−32 kg m s−1
Relative uncertainty
3.1 × 10−10 (311 parts per trillion)
Status
Measured
Symbol
mec
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# natural unit of momentum, CODATA 2022 (NIST)
natural_unit_of_momentum = 2.73092453446e-22  # kg m s^-1, standard uncertainty 8.5e-32

# SciPy: scipy.constants.physical_constants['natural unit of momentum']

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)2.730 924 534 46 × 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: CODATA values 1998–2022 relative to the 2022 value, in parts per billion, with one-standard-uncertainty bars−300−200−1000+100+200+300parts per billion1998200220062010201420182022

Relative uncertainty

natural unit of momentum: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻¹⁰10⁻⁹10⁻⁸10⁻⁷10⁻⁶1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20222.730 924 534 46(85) × 10−223.1 × 10−10 +4.5 σ of 2018
20182.730 924 530 75(82) × 10−223.0 × 10−10 +1.3 σ of 2014
20142.730 924 488(34) × 10−221.2 × 10−8 +1.6 σ of 2010
20102.730 924 29(12) × 10−224.4 × 10−8 +1.6 σ of 2006
20062.730 924 06(14) × 10−225.1 × 10−8 −0.3 σ of 2002
20022.730 924 19(47) × 10−221.7 × 10−7 +1.0 σ of 1998
19982.730 923 98(21) × 10−227.7 × 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