# kg to GeV Conversion

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For kg to GeV conversion, use $E=mc^{2}$ to convert 1 kg to Joules and then use the fact that 1 GeV is the energy required to move a charge $e$ across a potential difference of $10^{9}$ volts. Thus 1 GeV is $1.6 \times 10^{-19} \times 10^{9}$ Joules. Therefore

\[

E({\rm GeV}) = \frac{m ({\rm kg}) \ c^{2}}{10^{9} \ e}

\]

or

\[

E({\rm GeV}) = 5.6175 \times 10^{26} \ m ({\rm kg})

\]

A useful thing to remember is that the proton mass is equivalent to about 0.940 GeV (i.e. $\sim 1$ GeV).