ConstantID

Muon Compton wavelength

Atomic & nuclearMeasured

λC,μ = 1.173 444 110(26) × 10−14 m

Value
1.173 444 110 × 10−14 m
Standard uncertainty
2.6 × 10−22 m
Relative uncertainty
2.2 × 10−8 (22 parts per billion)
Status
Measured
Symbol
λC,μ
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# muon Compton wavelength, CODATA 2022 (NIST)
muon_compton_wavelength = 1.17344411e-14  # m, standard uncertainty 2.6e-22

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

What it is

The wavelength of a photon whose energy equals the rest energy of the muon, an unstable heavier cousin of the electron (about 207 times its mass) that lives about 2.2 microseconds: h/(mc).

In other units

UnitValue
CGS (cm)1.173 444 11 × 10−12
pm picometre0.011 734 4411
fm femtometre11.734 4411

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).

muon Compton wavelength: 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

muon Compton wavelength: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻⁹10⁻⁸10⁻⁷1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20221.173 444 110(26) × 10−142.2 × 10−8 +0.0 σ of 2018
20181.173 444 110(26) × 10−142.2 × 10−8 −0.0 σ of 2014
201411.734 441 11(26) × 10−152.2 × 10−8 +0.3 σ of 2010
201011.734 441 03(30) × 10−152.6 × 10−8 −0.0 σ of 2006
200611.734 441 04(30) × 10−152.6 × 10−8 −0.0 σ of 2002
200211.734 441 05(30) × 10−152.6 × 10−8 −2.6 σ of 1998
199811.734 441 97(35) × 10−153.0 × 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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