(X-)DLVO interactions between different shaped objects

7 important questions on (X-)DLVO interactions between different shaped objects

Polar interactions for plates; Lambda in xDLVO equals

Single decay length

Sphere- Sphere and Sphere-Plate interactions are approximated by....

Derjaguin Approximation The force between two macroscopic bodies can be approximated as

What does the Derjaguin approximation account for?

Interactions energies of polar, vanderWaals and electrostatic interactions.
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What are the deficits of the Derjaguin approximation?

We have more or less replaced the real curvature of a system with an approximation. This approximation works very well when the objects are much larger than the distance between them (and the distance they interact over

How do you overcome the deficits of the Derjaguin approximation?

You can compute the “exact” geometric effect by integrating over surface elements. Surface Element Integration (SEI)

What are DLVO Limitations?

DLVO is able to qualitatively describe colloidal stability in many cases (and quantitatively as well). It begins to break down geometrically for small geometries, rough geometries. It doesn’t cover polymeric stabilization or polar interactions.

What are XDLVO Limtations?

Empirical expression (based on hydration pressure) for interaction vs distance in H2O.  There are only tabulated fits for water. Tends to act only as an empirical fitting option to describe measurements.

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