molec/cm3 to molec/A3 Converter - Molecules per cubic centimeter to Molecules per cubic angstrom

Conversion derivation

Express both molec/cm3 and molec/A3 in the same base unit mol/L (molar), then cancel the shared base unit.

1. 1

   Rewrite molec/cm3 in the base unit

   $$1molec/cm3=1.66053907\times 10^{-27}mol/L$$
2. 2

   Rewrite molec/A3 in the base unit

   $$1molec/A3=1.66053907\times 10^{-51}mol/L$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1molec/cm3& =\frac{1.66053907\times 10^{-27}\cancel{mol/L}}{1.66053907\times 10^{-51}\cancel{mol/L}}\times 1molec/A3\\ & =\frac{1.66053907\times 10^{-27}}{1.66053907\times 10^{-51}}molec/A3\\ & =1\times 10^{24}molec/A3\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1molec/A3& =\frac{1.66053907\times 10^{-51}\cancel{mol/L}}{1.66053907\times 10^{-27}\cancel{mol/L}}\times 1molec/cm3\\ & =\frac{1.66053907\times 10^{-51}}{1.66053907\times 10^{-27}}molec/cm3\\ & =1\times 10^{-24}molec/cm3\end{array}$$