# Calculation of ion flux across potential barrier

1. Dec 10, 2011

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Hello!
As far as I know, the Eyring equation is used to calculate the speed of a reaction:

$$k=\frac{{k}_{b}}{h} {e}^{\frac{-\Delta G}{RT}}$$

In my course the teacher used this formula to calculate the flux of a species of ions across a barrier of potential, but I didn't understand very much.

Let's suppose that I have two aqueous solutions of the same species of ions (just 1 species) connected by a ion channel where the potential barrier is, and that I know:

The shape of the barrier of electrochemical potential (for example a gaussian curve or two gaussian curves side by side (but maybe these are two barriers));

The width of the barrier in space, that is the length of the ion channel;

Its peak value,and the values at the borders with the ionic solutions;

The concentrations of the ions in each side of the barrier;

Can you explain me how to calculate the ion flux, briefly, but explaining the steps you do?
Thank you