ConstantID

Atomic unit of magnetic dipole moment

UnitsMeasured

ℏe/me = 1.854 802 013 15(58) × 10−23 J T−1

Value
1.854 802 013 15 × 10−23 J T−1
Standard uncertainty
5.8 × 10−33 J T−1
Relative uncertainty
3.1 × 10−10 (313 parts per trillion)
Status
Measured
Symbol
ℏe/me
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# atomic unit of magnetic dipole moment, CODATA 2022 (NIST)
atomic_unit_of_magnetic_dipole_moment = 1.85480201315e-23  # J T^-1, standard uncertainty 5.8e-33

# SciPy: scipy.constants.physical_constants['atomic unit of mag. dipole mom.']

What it is

The unit of magnetic dipole moment 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 magnetic dipole moment: CODATA values 1998–2022 relative to the 2022 value, in parts per billion, with one-standard-uncertainty bars−200−1000+100+200parts per billion1998200220062010201420182022

Relative uncertainty

atomic unit of magnetic dipole moment: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻¹⁰10⁻⁹10⁻⁸10⁻⁷1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20221.854 802 013 15(58) × 10−233.1 × 10−10 −4.5 σ of 2018
20181.854 802 015 66(56) × 10−233.0 × 10−10 +1.5 σ of 2014
20141.854 801 999(11) × 10−235.9 × 10−9 +1.5 σ of 2010
20101.854 801 936(41) × 10−232.2 × 10−8 +2.3 σ of 2006
20061.854 801 830(46) × 10−232.5 × 10−8 −0.4 σ of 2002
20021.854 801 90(16) × 10−238.6 × 10−8 +1.3 σ of 1998
19981.854 801 799(75) × 10−234.0 × 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).