I am trying to calculate the distance between two micelles in which potential switches from attractive to repulsive in water.
I been given the following information [also attached].
- Hydrophobic chain-water interfacial energy
My approach is to plot the curve of overall potential against distance by using DLVO theory:
net potential = attractive potential + repulsive potential
Then read distance off x axis at turning point from the curve.
I have the information and equation to calculate the potential of the attractive forces, but I can't seem to figure out how to calculate the repulsive forces from the given information. I was trying with the Debye-Hückel approximation:
I have K, but I'm unsure how to find Ψ0
There is also another equation where repulsive energy between two spheres of radius R can be calculated:
) / K 2
but it involves parameters: reduced surface potential (γ) & ionic concentration in the bulk solution (n0
Which are two things not directly given in the question, is it possible to somehow calculate these two things?
Is there another equation I can use to do this?