ConstantID

Atomic unit of electric field gradient

UnitsMeasured

Eh/ea02 = 9.717 362 4424(30) × 1021 V m−2

Value
9.717 362 4424 × 1021 V m−2
Standard uncertainty
3 × 1012 V m−2
Relative uncertainty
3.1 × 10−10 (309 parts per trillion)
Status
Measured
Symbol
Eh/ea02
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# atomic unit of electric field gradient, CODATA 2022 (NIST)
atomic_unit_of_electric_field_gradient = 9.7173624424e21  # V m^-2, standard uncertainty 3e12

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

What it is

The unit of electric field gradient 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 gradient: 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 gradient: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻¹⁰10⁻⁹10⁻⁸10⁻⁷1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20229.717 362 4424(30) × 10213.1 × 10−10 +4.6 σ of 2018
20189.717 362 4292(29) × 10213.0 × 10−10 +1.2 σ of 2014
20149.717 362 356(60) × 10216.2 × 10−9 +1.7 σ of 2010
20109.717 362 00(21) × 10212.2 × 10−8 +1.4 σ of 2006
20069.717 361 66(24) × 10212.5 × 10−8 −0.2 σ of 2002
20029.717 361 82(83) × 10218.5 × 10−8 +0.7 σ of 1998
19989.717 361 53(39) × 10214.0 × 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).

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