molec/cm3 to molec/nm3 Converter - Molecules per cubic centimeter to Molecules per cubic nanometer

Conversion derivation

Express both molec/cm3 and molec/nm3 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/nm3 in the base unit

   $$1molec/nm3=1.66053907\times 10^{-48}mol/L$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1molec/cm3& =\frac{1.66053907\times 10^{-27}\cancel{mol/L}}{1.66053907\times 10^{-48}\cancel{mol/L}}\times 1molec/nm3\\ & =\frac{1.66053907\times 10^{-27}}{1.66053907\times 10^{-48}}molec/nm3\\ & =1\times 10^{21}molec/nm3\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1molec/nm3& =\frac{1.66053907\times 10^{-48}\cancel{mol/L}}{1.66053907\times 10^{-27}\cancel{mol/L}}\times 1molec/cm3\\ & =\frac{1.66053907\times 10^{-48}}{1.66053907\times 10^{-27}}molec/cm3\\ & =1\times 10^{-21}molec/cm3\end{array}$$