molec/cm³ a molec/nm³ convertidor - Moléculas por centímetro cúbico a Moléculas por nanómetro cúbico

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

   $$1molec/c{\mathrm{m}}^3=1.66053907\times 10^{-27}mol/L$$
2. 2

   Rewrite molec/nm³ in the base unit

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

   Forward conversion

   $$\begin{array}{rl}1molec/c{\mathrm{m}}^3& =\frac{1.66053907\times 10^{-27}\cancel{mol/L}}{1.66053907\times 10^{-48}\cancel{mol/L}}\times 1molec/n{\mathrm{m}}^3\\ & =\frac{1.66053907\times 10^{-27}}{1.66053907\times 10^{-48}}molec/n{\mathrm{m}}^3\\ & =1\times 10^{21}molec/n{\mathrm{m}}^3\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1molec/n{\mathrm{m}}^3& =\frac{1.66053907\times 10^{-48}\cancel{mol/L}}{1.66053907\times 10^{-27}\cancel{mol/L}}\times 1molec/c{\mathrm{m}}^3\\ & =\frac{1.66053907\times 10^{-48}}{1.66053907\times 10^{-27}}molec/c{\mathrm{m}}^3\\ & =1\times 10^{-21}molec/c{\mathrm{m}}^3\end{array}$$