Diffusion and Hydration of Ions in Infinitely Diluted Solution

15 DIFFUSION AND HYDRATION OF IONS IN INFINITELY DILUTED SOLUTION 

The limiting ionic mobility, u° = /(FIZjl), is an important transport characteristic of the I th ion when the solution is at infinite dilution, meaning that there are no interactions between ions but the ions still interact with solvent (water) molecules. This suggests that there should be a relationship between the limiting ionic mobility (conductivity) and its diffusion coefficient when the ion is moving in the solvent. Such a relationship was proposed by Albert Einstein in 1905  

Albert Einstein (1879-1955) was a German-bom American theoretical physicist. He was awarded the Nobel Prize in Physics in 1921. In electrochemical science, a number of equations bear Einstein s name, for example, Nemst-Einstein equation showing the relationship between conductivity and diffusion coefficient or the correlation between diffusion coefficient and viscosity, which is known as the Stokes-Einstein equation. 

Inzelt, and F. Scholz, Electrochemical Dictionary, Springer, Berlin, Germany, 2008. 

---