Electrically Guided Assembly of Planar Superlattices in Binary Colloidal Suspensions

Binary colloidal suspensions are assembled into planar superlattices using ac electric fields. Either triangular or square-packed arrays form, depending on the frequency and relative particle concentrations. The frequency dependence is striking since superlattices develop at low and high frequencies but not at intermediate frequencies. We explain the low frequency behavior $(<3\mathrm{k}\mathrm{H}\mathrm{z})$ in terms of induced-dipole repulsion balanced by attraction resulting from electrohydrodynamic (EHD) flow. At high frequencies (20–200 kHz), EHD flow is negligible but aggregation occurs since dipole-dipole interactions become attractive.