How can I calculate diffusion coefficient from scanrate study? Is there any relationships in the linear fit of current vs. square root of scanrate? CV studies were carried out in 1 M KOH solution.
You can calculate the diffusion coefficient using the Randles–Sevcik equation.
See equation 5 in: https://www.researchgate.net/publication/269222357_Comparative_Study_of_Different_Alkali_Na_Li_Titanate_Substrates_as_Active_Materials_for_Anodes_of_Lithium_-Ion_Batteries
You need to be careful with the use of the Randles-Sevcik equation, as it is only for reversible reactions. The CVs you attached do not appear to be for a reversible reaction, so using Randles-Sevcik, despite having a linear relationship would not be correct.