Proton mass energy equivalent

mpc2=1.50327761802×10−10 Jm_{\mathrm{p}} c^{2} = 1.50327761802 \times 10^{-10}\ \text{J}
Value1.50327761802e-10 J
StatusMeasured: ± 5.20e-20 J (3.5e-10 relative)
SourceCODATA 2022
CategoriesUniversal & AtomicNuclear
Proton mass energy equivalent in every energy unit
electron volt938,272,090 eV
hartree34,480,863 Eh
kiloelectron volt938,272.09 keV
megaelectron volt938.27209 MeV
gigaelectron volt0.93827209 GeV
nanojoule0.15032776 nJ
erg0.0015032776 erg
teraelectron volt0.00093827209 TeV
microjoule0.00015032776 µJ
millijoule1.5032776e-07 mJ
inch-pound1.3305128e-09 in·lb
joule1.5032776e-10 J
foot-pound1.1087607e-10 ft⋅lb
calorie3.5929197e-11 cal
calorie (International Table)3.5905169e-11 cal IT
kilojoule1.5032776e-13 kJ
BTU (thermochemical)1.4257858e-13 BTU th
British thermal unit1.4248323e-13 BTU
watt-hour4.1757712e-14 Wh
kilocalorie3.5929197e-14 kcal
megajoule1.5032776e-16 MJ
horsepower-hour5.5998014e-17 hp·h
kilowatt-hour4.1757712e-17 kWh
therm1.4248323e-18 therm
gigajoule1.5032776e-19 GJ
million BTU1.4248323e-19 MMBTU
megawatt-hour4.1757712e-20 MWh
ton of TNT3.5929197e-20 t TNT
tonne of oil equivalent3.5905169e-21 toe
terajoule1.5032776e-22 TJ
gigawatt-hour4.1757712e-23 GWh
kiloton of TNT3.5929197e-23 kt TNT
petajoule1.5032776e-25 PJ
terawatt-hour4.1757712e-26 TWh
megaton of TNT3.5929197e-26 Mt TNT
quad1.4248323e-28 quad

Learning zone

938.272 MeV is the reference mass of nuclear and particle physics. A proton beam is called relativistic once its kinetic energy approaches this figure; at the LHC each proton carries 6.8 TeV, roughly 7250 times its own rest energy, so γ ≈ 7250 and the beam travels within 3 m/s of c. Proton therapy beams, by contrast, run at 70–250 MeV — still under a third of the rest energy, yet enough to place a Bragg peak inside a tumour.

The nucleon mass also fixes the scale of everything heavier: a nucleus of mass number A weighs roughly A × 939 MeV/c² minus about 8 MeV per nucleon of binding. That 8-in-939 shortfall — under 1 % — is the entire energy supply of both fission reactors and stars, which is a fair measure of how much energy c² packs into a tiny fractional mass change.