Atomic mass constant energy equivalent

muc2=1.49241808768×10−10 Jm_{\mathrm{u}} c^{2} = 1.49241808768 \times 10^{-10}\ \text{J}
Value1.49241808768e-10 J
StatusMeasured: ± 4.60e-20 J (3.1e-10 relative)
SourceCODATA 2022
CategoriesUniversal & AtomicNuclear
Atomic mass constant energy equivalent in every energy unit
electron volt931,494,100 eV
hartree34,231,777 Eh
kiloelectron volt931,494.1 keV
megaelectron volt931.4941 MeV
gigaelectron volt0.9314941 GeV
nanojoule0.14924181 nJ
erg0.0014924181 erg
teraelectron volt0.0009314941 TeV
microjoule0.00014924181 µJ
millijoule1.4924181e-07 mJ
inch-pound1.3209013e-09 in·lb
joule1.4924181e-10 J
foot-pound1.1007511e-10 ft⋅lb
calorie3.5669648e-11 cal
calorie (International Table)3.5645794e-11 cal IT
kilojoule1.4924181e-13 kJ
BTU (thermochemical)1.4154860e-13 BTU th
British thermal unit1.4145394e-13 BTU
watt-hour4.1456058e-14 Wh
kilocalorie3.5669648e-14 kcal
megajoule1.4924181e-16 MJ
horsepower-hour5.5593490e-17 hp·h
kilowatt-hour4.1456058e-17 kWh
therm1.4145394e-18 therm
gigajoule1.4924181e-19 GJ
million BTU1.4145394e-19 MMBTU
megawatt-hour4.1456058e-20 MWh
ton of TNT3.5669648e-20 t TNT
tonne of oil equivalent3.5645794e-21 toe
terajoule1.4924181e-22 TJ
gigawatt-hour4.1456058e-23 GWh
kiloton of TNT3.5669648e-23 kt TNT
petajoule1.4924181e-25 PJ
terawatt-hour4.1456058e-26 TWh
megaton of TNT3.5669648e-26 Mt TNT
quad1.4145394e-28 quad

Learning zone

931.494 MeV per atomic mass unit is the number that turns a nuclear mass table into an energy budget. Weigh the reactants and products of a nuclear reaction in daltons, take the difference, multiply by 931.494, and you have the Q-value in MeV. The mass defect of ⁴He is 0.030 377 u, so its binding energy is 28.30 MeV — 7.07 MeV per nucleon — and that is the energy the Sun harvests four hydrogen nuclei at a time.

The same factor explains why fission and fusion are worth doing at all: the binding curve peaks near ⁵⁶Fe at about 8.8 MeV per nucleon, so climbing towards iron from either end releases energy. A single U-235 fission converts roughly 0.19 u — about 180 MeV — while a chemical bond breaks for a few eV, a ratio of some 50 million. Use the conversion table on this page to read the same energy in MeV, keV or joules.