September 30, 2020, 05:05:27 AM
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### Topic: Colloidal Chemistry: Repulsion between two micelles (DLVO theory)  (Read 160 times)

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#### NotSureReally

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• Mole Snacks: +0/-0 ##### Colloidal Chemistry: Repulsion between two micelles (DLVO theory)
« on: June 18, 2020, 03:39:46 PM »
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
• Hamaker Constant
• Interaction constant
• Debye Length

My approach is to plot the curve of overall potential against distance by using DLVO theory:
net potential = attractive potential + repulsive potential
Vn = VA + VR

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:

VR = Ψ0 exp-KD

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:
VR = (64*n0*KBT*pi*R* γ2*e-KD) / 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?