Electron mass energy equivalent

mec2=8.187105788×10−14 Jm_{\mathrm{e}} c^{2} = 8.187105788 \times 10^{-14}\ \text{J}
Value510.998950694 keV (8.187105788 × 10⁻¹⁴ J)
StatusMeasured: ± 1.6 × 10⁻⁷ keV (3.2 × 10⁻¹⁰ relative), standard uncertainty
SourceCODATA 2022
CategoriesUniversal & AtomicNuclear
Electron mass energy equivalent in every energy unit
UnitValue
kiloelectron volt510.99895 keV
hartree18,778.865 Eh
megaelectron volt0.51099895 MeV
33 more energy units
electron volt510,998.95 eV
gigaelectron volt0.00051099895 GeV
nanojoule0.000081871058 nJ
erg8.1871058e-07 erg
teraelectron volt5.1099895e-07 TeV
microjoule8.1871058e-08 µJ
millijoule8.1871058e-11 mJ
inch-pound7.2461992e-13 in·lb
joule8.1871058e-14 J
foot-pound6.0384993e-14 ft⋅lb
calorie1.9567652e-14 cal
calorie (International Table)1.9554566e-14 cal IT
kilojoule8.1871058e-17 kJ
BTU (thermochemical)7.7650721e-17 BTU th
British thermal unit7.7598790e-17 BTU
watt-hour2.2741961e-17 Wh
kilocalorie1.9567652e-17 kcal
megajoule8.1871058e-20 MJ
horsepower-hour3.0497471e-20 hp·h
kilowatt-hour2.2741961e-20 kWh
therm7.7598790e-22 therm
gigajoule8.1871058e-23 GJ
million BTU7.7598790e-23 MMBTU
megawatt-hour2.2741961e-23 MWh
ton of TNT1.9567652e-23 t TNT
tonne of oil equivalent1.9554566e-24 toe
terajoule8.1871058e-26 TJ
gigawatt-hour2.2741961e-26 GWh
kiloton of TNT1.9567652e-26 kt TNT
petajoule8.1871058e-29 PJ
terawatt-hour2.2741961e-29 TWh
megaton of TNT1.9567652e-29 Mt TNT
quad7.7598790e-32 quad

Learning zone

511 keV is one of the most recognisable numbers in physics. When a positron meets an electron the pair annihilates into two photons of exactly this energy flying back-to-back, which is what a PET scanner's detector ring times to milimetre precision, and what gamma-ray telescopes see glowing from the centre of the Milky Way.

It also sets thresholds. Pair production from a single photon needs at least 2m_e c² = 1.022 MeV plus a nucleus to absorb the recoil, so no gamma below 1.022 MeV can make an electron-positron pair. And it marks the boundary of relativity for electrons: a 511 keV kinetic energy means γ = 2, so anything in a linac or a CRT beyond a few tens of keV already needs relativistic kinematics, while thermal electrons at 0.025 eV are hopelessly non-relativistic.

Revised 16 October 2026
Cite this page

formula.expert. (2026, October 16). Electron mass energy equivalent. https://formula.expert/constants/electron-mass-energy-equivalent