ConstantID

Atomic unit of electric field

UnitsMeasured

Eh/ea0 = 5.142 206 751 12(80) × 1011 V m−1

Value
5.142 206 751 12 × 1011 V m−1
Standard uncertainty
80 V m−1
Relative uncertainty
1.6 × 10−10 (156 parts per trillion)
Status
Measured
Symbol
Eh/ea0
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# atomic unit of electric field, CODATA 2022 (NIST)
atomic_unit_of_electric_field = 5.14220675112e11  # V m^-1, standard uncertainty 80

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

What it is

The unit of electric field 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.

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 electric field: 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

atomic unit of electric field: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻¹⁰10⁻⁹10⁻⁸10⁻⁷1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20225.142 206 751 12(80) × 10111.6 × 10−10 +4.5 σ of 2018
20185.142 206 747 63(78) × 10111.5 × 10−10 +1.3 σ of 2014
20145.142 206 707(32) × 10116.2 × 10−9 +1.7 σ of 2010
20105.142 206 52(11) × 10112.1 × 10−8 +1.5 σ of 2006
20065.142 206 32(13) × 10112.5 × 10−8 −0.2 σ of 2002
20025.142 206 42(44) × 10118.6 × 10−8 +0.9 σ of 1998
19985.142 206 24(20) × 10113.9 × 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).

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