ConstantID

Muon mass energy equivalent

Atomic & nuclearMeasured

mμc2 = 1.692 833 804(38) × 10−11 J

Value
1.692 833 804 × 10−11 J
Standard uncertainty
3.8 × 10−19 J
Relative uncertainty
2.2 × 10−8 (22 parts per billion)
Status
Measured
Symbol
mμc2
Source
CODATA 2022 via NIST · NIST entry

Use in a calculation

# muon mass energy equivalent, CODATA 2022 (NIST)
muon_mass_energy_equivalent = 1.692833804e-11  # J, standard uncertainty 3.8e-19

# SciPy: scipy.constants.physical_constants['muon mass energy equivalent']

What it is

The rest energy (mass × c²) of the muon, an unstable heavier cousin of the electron (about 207 times its mass) that lives about 2.2 microseconds, in joules.

In other units

UnitValue
CGS (cm2 g s−2)1.692 833 804 × 10−4
keV kiloelectronvolt105 658.3755
MeV megaelectronvolt105.658 3755
GeV gigaelectronvolt0.105 658 3755
Eₕ hartree3 882 873.682unit is itself measured
Ry rydberg7 765 747.363unit 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).

muon mass energy equivalent: CODATA values 1998–2022 relative to the 2022 value, in parts per billion, with one-standard-uncertainty bars−600−400−2000+200+400+600parts per billion1998200220062010201420182022

Relative uncertainty

muon mass energy equivalent: relative standard uncertainty in each CODATA adjustment, logarithmic scale10⁻⁸10⁻⁷10⁻⁶1998200220062010201420182022
CODATAValue (uncertainty)Relative uncertaintyChange from previous
20221.692 833 804(38) × 10−112.2 × 10−8 +0.0 σ of 2018
20181.692 833 804(38) × 10−112.2 × 10−8 +0.7 σ of 2014
20141.692 833 774(43) × 10−112.5 × 10−8 +1.2 σ of 2010
20101.692 833 667(86) × 10−115.1 × 10−8 +1.7 σ of 2006
20061.692 833 510(95) × 10−115.6 × 10−8 −0.3 σ of 2002
20021.692 833 60(29) × 10−111.7 × 10−7 +2.0 σ of 1998
19981.692 833 32(14) × 10−118.3 × 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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