ConstantID

Atomic unit of charge

UnitsExact

e = 1.602 176 634 × 10−19 C

Value
1.602 176 634 × 10−19 C
Standard uncertainty
exact
Relative uncertainty
exact
Status
Exact since the 2019 SI redefinition
Symbol
e
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# atomic unit of charge, CODATA 2022 (NIST)
atomic_unit_of_charge = 1.602176634e-19  # C, exact

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

What it is

The unit of charge 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.

It is built only from constants that have exact values since 20 May 2019, so it is exact too; CODATA 2018 was the first adjustment to list it that way.

In other units

UnitValue
e elementary charge1exact

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.

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). Diamonds mark adjustments in which the value was exact.

atomic unit of charge: CODATA values 1998–2022 relative to the 2022 value, in parts per billion, with one-standard-uncertainty bars−75−50−250+25+50+75parts per billion1998200220062010201420182022

Relative uncertainty

atomic unit of charge: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻⁹10⁻⁸10⁻⁷199820022006201020142018exact2022exact
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20221.602 176 634 × 10−19exact exact
20181.602 176 634 × 10−19exact +1.3 σ of 2014
20141.602 176 6208(98) × 10−196.1 × 10−9 +1.6 σ of 2010
20101.602 176 565(35) × 10−192.2 × 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