ConstantID

Compton wavelength

Atomic & nuclearMeasured

λC = 2.426 310 235 38(76) × 10−12 m

Value
2.426 310 235 38 × 10−12 m
Standard uncertainty
7.6 × 10−22 m
Relative uncertainty
3.1 × 10−10 (313 parts per trillion)
Status
Measured
Symbol
λC
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# Compton wavelength, CODATA 2022 (NIST)
compton_wavelength = 2.42631023538e-12  # m, standard uncertainty 7.6e-22

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

What it is

The wavelength of a photon whose energy equals the electron's rest energy. It sets the size of the wavelength shift when X-rays scatter off electrons: at 90° the shift is one Compton wavelength.

Equations

  • λC=hmecdefinition
  • Δλ=λC(1−cosθ)Compton shift

In other units

UnitValue
CGS (cm)2.426 310 235 38 × 10−10
nm nanometre0.002 426 310 235 38
pm picometre2.426 310 235 38
fm femtometre2426.310 235 38
Å ångström0.024 263 102 3538
a₀ bohr (atomic unit)0.045 850 618 41unit is itself measured

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).

Compton wavelength: 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

Compton wavelength: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻¹⁰10⁻⁹10⁻⁸1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20222.426 310 235 38(76) × 10−123.1 × 10−10 −4.5 σ of 2018
20182.426 310 238 67(73) × 10−123.0 × 10−10 +1.8 σ of 2014
20142.426 310 2367(11) × 10−124.5 × 10−10 −1.4 σ of 2010
20102.426 310 2389(16) × 10−126.6 × 10−10 +6.5 σ of 2006
20062.426 310 2175(33) × 10−121.4 × 10−9 −1.3 σ of 2002
20022.426 310 238(16) × 10−126.6 × 10−9 +1.3 σ of 1998
19982.426 310 215(18) × 10−127.4 × 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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