ConstantID

Proton Compton wavelength

Atomic & nuclearMeasured

λC,p = 1.321 409 853 60(41) × 10−15 m

Value
1.321 409 853 60 × 10−15 m
Standard uncertainty
4.1 × 10−25 m
Relative uncertainty
3.1 × 10−10 (310 parts per trillion)
Status
Measured
Symbol
λC,p
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# proton Compton wavelength, CODATA 2022 (NIST)
proton_compton_wavelength = 1.3214098536e-15  # m, standard uncertainty 4.1e-25

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

What it is

The wavelength of a photon whose energy equals the rest energy of the proton, the nucleus of the hydrogen atom: h/(mc).

In other units

UnitValue
CGS (cm)1.321 409 8536 × 10−13
pm picometre0.001 321 409 8536
fm femtometre1.321 409 8536

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).

proton Compton wavelength: CODATA values 1998–2022 relative to the 2022 value, in parts per billion, with one-standard-uncertainty bars−10−50+5+10parts per billion1998200220062010201420182022

Relative uncertainty

proton Compton wavelength: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻¹⁰10⁻⁹10⁻⁸1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20221.321 409 853 60(41) × 10−153.1 × 10−10 −4.5 σ of 2018
20181.321 409 855 39(40) × 10−153.0 × 10−10 +2.3 σ of 2014
20141.321 409 853 96(61) × 10−154.6 × 10−10 −2.4 σ of 2010
20101.321 409 856 23(94) × 10−157.1 × 10−10 +6.1 σ of 2006
20061.321 409 8446(19) × 10−151.4 × 10−9 −1.2 σ of 2002
20021.321 409 8555(88) × 10−156.7 × 10−9 +0.8 σ of 1998
19981.321 409 847(10) × 10−157.6 × 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).

Related constants