erg vers Ha convertisseur - Erg vers Hartree

Conversion derivation

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

1. 1

   Rewrite erg in the base unit

   $$1\mathrm{erg}=1\times 10^{-7}\mathrm{J}$$
2. 2

   Rewrite Ha in the base unit

   $$1\mathrm{Ha}=4.35974472\times 10^{-18}\mathrm{J}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{erg}& =\frac{1\times 10^{-7}\cancel{\mathrm{J}}}{4.35974472\times 10^{-18}\cancel{\mathrm{J}}}\times 1\mathrm{Ha}\\ & =\frac{1\times 10^{-7}}{4.35974472\times 10^{-18}}\mathrm{Ha}\\ & =2.29371228\times 10^{10}\mathrm{Ha}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{Ha}& =\frac{4.35974472\times 10^{-18}\cancel{\mathrm{J}}}{1\times 10^{-7}\cancel{\mathrm{J}}}\times 1\mathrm{erg}\\ & =\frac{4.35974472\times 10^{-18}}{1\times 10^{-7}}\mathrm{erg}\\ & =4.35974472\times 10^{-11}\mathrm{erg}\end{array}$$