ConstantID

Quantum of circulation times 2

Atomic & nuclearMeasured

h/me = 7.273 895 0934(23) × 10−4 m2 s−1

Value
7.273 895 0934 × 10−4 m2 s−1
Standard uncertainty
2.3 × 10−13 m2 s−1
Relative uncertainty
3.2 × 10−10 (316 parts per trillion)
Status
Measured
Symbol
h/me
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# quantum of circulation times 2, CODATA 2022 (NIST)
quantum_of_circulation_times_2 = 7.2738950934e-4  # m^2 s^-1, standard uncertainty 2.3e-13

# SciPy: scipy.constants.physical_constants['quantum of circulation times 2']

What it is

h/mₑ, twice the quantum of circulation. Atom-interferometry measurements of h/m for atoms are one of the routes to the fine-structure constant.

In other units

UnitValue
CGS (cm2 s−1)7.273 895 0934

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).

quantum of circulation times 2: CODATA values 1998–2022 relative to the 2022 value, in parts per billion, with one-standard-uncertainty bars−15−10−50+5+10+15parts per billion1998200220062010201420182022

Relative uncertainty

quantum of circulation times 2: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻¹⁰10⁻⁹10⁻⁸1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20227.273 895 0934(23) × 10−43.2 × 10−10 −4.5 σ of 2018
20187.273 895 1032(22) × 10−43.0 × 10−10 +1.8 σ of 2014
20147.273 895 0972(33) × 10−44.5 × 10−10 −1.4 σ of 2010
20107.273 895 1040(47) × 10−46.5 × 10−10 +6.4 σ of 2006
20067.273 895 040(10) × 10−41.4 × 10−9 −1.3 σ of 2002
20027.273 895 101(48) × 10−46.6 × 10−9 +1.3 σ of 1998
19987.273 895 032(53) × 10−47.3 × 10−9

“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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