ConstantID

Atomic unit of time

UnitsMeasured

ℏ/Eh = 2.418 884 326 5864(26) × 10−17 s

Value
2.418 884 326 5864 × 10−17 s
Standard uncertainty
2.6 × 10−29 s
Relative uncertainty
1.1 × 10−12 (1.1 parts per trillion)
Status
Measured
Symbol
ℏ/Eh
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# atomic unit of time, CODATA 2022 (NIST)
atomic_unit_of_time = 2.4188843265864e-17  # s, standard uncertainty 2.6e-29

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

What it is

The unit of time 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
fs femtosecond0.024 188 843 2659

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 time: CODATA values 1998–2022 relative to the 2022 value, in parts per trillion, with one-standard-uncertainty bars−60−40−200+20+40+60parts per trillion1998200220062010201420182022

Relative uncertainty

atomic unit of time: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻¹³10⁻¹²10⁻¹¹1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20222.418 884 326 5864(26) × 10−171.1 × 10−12 +0.1 σ of 2018
20182.418 884 326 5857(47) × 10−171.9 × 10−12 +5.5 σ of 2014
20142.418 884 326 509(14) × 10−175.8 × 10−12 +0.6 σ of 2010
20102.418 884 326 502(12) × 10−175.0 × 10−12 −0.2 σ of 2006
20062.418 884 326 505(16) × 10−176.6 × 10−12 +0.0 σ of 2002
20022.418 884 326 505(16) × 10−176.6 × 10−12 +0.3 σ of 1998
19982.418 884 326 500(18) × 10−177.4 × 10−12

“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).