ConstantID

Reduced tau Compton wavelength

Atomic & nuclearMeasured

λ¯C,τ = 1.110 538(75) × 10−16 m

Value
1.110 538 × 10−16 m
Standard uncertainty
7.5 × 10−21 m
Relative uncertainty
6.8 × 10−5 (68 parts per million)
Status
Measured
Symbol
λ¯C,τ
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# reduced tau Compton wavelength, CODATA 2022 (NIST)
reduced_tau_compton_wavelength = 1.110538e-16  # m, standard uncertainty 7.5e-21

# SciPy: scipy.constants.physical_constants['reduced tau Compton wavelength']

What it is

The Compton wavelength of the tau, the heaviest of the three charged leptons, divided by 2π: ħ/(mc).

In other units

UnitValue
CGS (cm)1.110 538 × 10−14
fm femtometre0.111 0538

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).

reduced tau Compton wavelength: CODATA values 1998–2022 relative to the 2022 value, in parts per million, with one-standard-uncertainty bars−200−1000+100+200parts per million1998200220062010201420182022

Relative uncertainty

reduced tau Compton wavelength: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻⁵10⁻⁴10⁻³1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20221.110 538(75) × 10−166.8 × 10−5 +0.0 σ of 2018
20181.110 538(75) × 10−166.8 × 10−5 −0.2 σ of 2014
20140.111 056(10) × 10−159.0 × 10−5 +0.0 σ of 2010
20100.111 056(10) × 10−159.0 × 10−5 +0.6 σ of 2006
20060.111 046(18) × 10−151.6 × 10−4 +0.0 σ of 2002
20020.111 046(18) × 10−151.6 × 10−4 +0.2 σ of 1998
19980.111 042(18) × 10−151.6 × 10−4

“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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