eV in MeV Umrechner - Elektronenvolt in Mega-Elektronenvolt

Conversion derivation

Express both eV and MeV in the same base unit J (joule), then cancel the shared base unit.

1. 1

   Rewrite eV in the base unit

   $$1\mathrm{eV}=1.60217663\times 10^{-19}\mathrm{J}$$
2. 2

   Rewrite MeV in the base unit

   $$1\mathrm{MeV}=1.60217663\times 10^{-13}\mathrm{J}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{eV}& =\frac{1.60217663\times 10^{-19}\cancel{\mathrm{J}}}{1.60217663\times 10^{-13}\cancel{\mathrm{J}}}\times 1\mathrm{MeV}\\ & =\frac{1.60217663\times 10^{-19}}{1.60217663\times 10^{-13}}\mathrm{MeV}\\ & =0.000001\mathrm{MeV}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{MeV}& =\frac{1.60217663\times 10^{-13}\cancel{\mathrm{J}}}{1.60217663\times 10^{-19}\cancel{\mathrm{J}}}\times 1\mathrm{eV}\\ & =\frac{1.60217663\times 10^{-13}}{1.60217663\times 10^{-19}}\mathrm{eV}\\ & =1,000,000\mathrm{eV}\end{array}$$