Screened Coulomb interactions of general macroions with nonzero particle volume

Abstract

A semianalytical approach is developed to calculate the effective pair potential of rigid arbitrarily shaped macroions with a nonvanishing particle volume, valid within linear screening theory and the mean-field approximation. The essential ingredient for this framework is a mapping of the particle to a singular charge distribution with adjustable effective charge and shape parameters determined by the particle surface electrostatic potential. For charged spheres this method reproduces the well-known Derjaguin-Landau-Verwey-Overbeek (DLVO) potential. Further exemplary benchmarks of the method for more complicated cases, like tori, triaxial ellipsoids, and additive torus-sphere mixtures, leads to accurate closed-form integral expressions for all particle separations and orientations. The findings are relevant for determining the phase behaviour of macroions with experiments and simulations for various particle shapes.

V2: 9 pages, 5 figures; Appendix: 6 pages, 5 figures

References in corpus (11)

• Dielectric function, screening, and plasmons in 2D graphene
• Direct measurement of three-body interactions
• Multiple nonergodic disordered states in Laponite suspensions: a phase diagram
• Triclinic nematic colloidal crystals from competing elastic and electrostatic interactions
• Effective charges and virial pressure of concentrated macroion solutions
• The renormalized jellium model for spherical and cylindrical colloids
• Like-Charge Attraction between Metal Nanoparticles in a 1:1 Electrolyte Solution
• Electrostatic Interactions between Janus Particles
• Coulomb energy of uniformly-charged spheroidal shell systems
• Effective shape and phase behaviour of short charged rods
• Interplay of anisotropy in shape and interactions in charged platelet suspensions