On adiabatic pair potentials of highly charged colloid particles

Determination of Bulk Modulus for a Colloidal Crystal with Highly Charged Particles by DC Electric Field

“…In this subsection, we will derive an approximate analytic expression to estimate the osmotic bulk modulus of colloidal crystal formed by charged particles by means of combining the theory of Ohshima on the surface charge density–surface potential relationship , for a particle in salt-free suspension with van’t Hoff’s law of osmotic pressure. ,, …”

“…In this subsection, we will derive an approximate analytic expression to estimate the osmotic bulk modulus of colloidal crystal formed by charged particles by means of combining the theory of Ohshima on the surface charge density−surface potential relationship 42,43 for a particle in salt-free suspension with van't Hoff's law of osmotic pressure. 4,10,45 The combination of the particles and counterions inside a spherical Wigner−Seitz cell is overall charged neutral. The repulsive force between particles is not due to the direct effect of electrostatics but the excess osmotic pressure of the counterions in the gap between colloidal particles.…”

“…Highly charged particles in an aqueous environment can be self-assembled into a colloidal crystal with interparticle separation distances being significantly greater than the individual particle diameter. − The elasticity of the colloidal crystal is one of its important research topics with theoretical and practical significance. − However, unlike ordinary materials, elastic moduli of such kind of colloidal crystals are extraordinarily small (about 8 orders lower than those of metals), , so the conventional measuring methods applicable to regular solids have become no longer valid. , …”