ConstantID

Atomic unit of momentum

UnitsMeasured

ℏ/a0 = 1.992 851 915 45(31) × 10−24 kg m s−1

Value
1.992 851 915 45 × 10−24 kg m s−1
Standard uncertainty
3.1 × 10−34 kg m s−1
Relative uncertainty
1.6 × 10−10 (156 parts per trillion)
Status
Measured
Symbol
ℏ/a0
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# atomic unit of momentum, CODATA 2022 (NIST)
atomic_unit_of_momentum = 1.99285191545e-24  # kg m s^-1, standard uncertainty 3.1e-34

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

What it is

The unit of momentum in the Hartree system of atomic units, where the electron mass, the elementary charge, ħ and 4πε₀ are all set to 1. Its value here is the SI equivalent of one atomic unit.

In other units

UnitValue
CGS (cm g s−1)1.992 851 915 45 × 10−19

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).

atomic 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

atomic unit of momentum: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻¹⁰10⁻⁹10⁻⁸10⁻⁷10⁻⁶1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20221.992 851 915 45(31) × 10−241.6 × 10−10 +4.5 σ of 2018
20181.992 851 914 10(30) × 10−241.5 × 10−10 +1.3 σ of 2014
20141.992 851 882(24) × 10−241.2 × 10−8 +1.6 σ of 2010
20101.992 851 740(88) × 10−244.4 × 10−8 +1.8 σ of 2006
20061.992 851 565(99) × 10−245.0 × 10−8 −0.3 σ of 2002
20021.992 851 66(34) × 10−241.7 × 10−7 +0.9 σ of 1998
19981.992 851 51(16) × 10−248.0 × 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).