Proton mass energy equivalent

mpc2=1.50327761802×1010 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 & Atomicnuclearphysics
m_p c² in every energy unit
joule1.5032776e-10 J
kilojoule1.5032776e-13 kJ
megajoule1.5032776e-16 MJ
calorie3.5929197e-11 cal
kilocalorie3.5929197e-14 kcal
watt-hour4.1757712e-14 Wh
kilowatt-hour4.1757712e-17 kWh
British thermal unit1.4248323e-13 BTU
foot-pound1.1087607e-10 ft⋅lb
electron volt938,272,090 eV
kiloelectron volt938,272.09 keV
megaelectron volt938.27209 MeV

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.