J vers Ha convertisseur - Joule vers Hartree

Conversion derivation

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

1. 1

   Rewrite J in the base unit

   $$1\mathrm{J}=1\mathrm{J}$$
2. 2

   Rewrite Ha in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1\mathrm{J}& =\frac{1\cancel{\mathrm{J}}}{4.35974472\times 10^{-18}\cancel{\mathrm{J}}}\times 1\mathrm{Ha}\\ & =\frac{1}{4.35974472\times 10^{-18}}\mathrm{Ha}\\ & =2.29371228\times 10^{17}\mathrm{Ha}\end{array}$$
4. 4

   Reverse conversion

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