Electron mass energy equivalent

mec2=8.187105788×10−14 Jm_{\mathrm{e}} c^{2} = 8.187105788 \times 10^{-14}\ \text{J}
Value8.187105788e-14 J
StatusMeasured: ± 2.60e-23 J (3.2e-10 relative)
SourceCODATA 2022
CategoriesUniversal & AtomicNuclear
Electron mass energy equivalent in every energy unit
electron volt510,998.95 eV
hartree18,778.865 Eh
kiloelectron volt510.99895 keV
megaelectron volt0.51099895 MeV
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.