mumol_m2_to_mols¶

porems.utils.mumol_m2_to_mols(c, A)¶

Convert the concentration in \(\frac{\mu\text{mol}}{\text{m}^2}\) to number of molecules.

The concentration is given as

\[c=\frac{N}{N_A\cdot A}\]

with surface \(A\) and avogadro constant \(N_A=6.022\cdot10^{23}\,\text{mol}^{-1}\). Assuming that the unit of the concentration is \(\mu\text{mol}\cdot\text{m}^{-2}\) and of the surface is \(\text{nm}^2\), the number of molecules is given by

\[N=c\cdot N_A\cdot A =[c]\cdot10^{-24}\,\frac{\text{mol}}{\text{nm}^2}\cdot6.022\cdot10^{23}\,\frac{1}{\text{mol}}\cdot[A]\,\text{nm}^2\]

and thus

\[\boxed{N=0.6022\cdot[c]\cdot[A]}\ .\]

Parameters:

cfloat: Concentration in \(\frac{\mu\text{mol}}{\text{m}^2}\)
Afloat: Surface in \(\text{nm}^2\)

Returns:

Nfloat: Number of molecules