Abstract: Self-assembling colloidal cubic diamond has been a long-standing goal because of its potential for making materials with a photonic band gap. These materials suppress spontaneous emission of light and are valued for their applications as optical waveguides, filters, and laser resonators; for improving light-harvesting technologies; and for other applications. Cubic diamond is preferred over more easily self-assembled structures such as face-centered cubic (FCC) crystals because diamond has a much wider band gap and is less sensitive to imperfections.
The band gap in diamond crystals opens for a refractive index contrast of about 2.0, which means that a photonic band gap could be achieved by using known materials at optical frequencies, which appears not to be possible for FCC crystals. Nevertheless, self-assembled colloidal diamond has not been realized.
Because particles in a diamond lattice are tetrahedrally coordinated, one approach has been to self-assemble spherical particles with tetrahedral sticky patches. Difficulties persist, however, because patchy spheres possess no mechanism to select the proper staggered orientation of tetrahedral bonds on nearest-neighbor particles, a requirement for cubic diamond.
We show that by using partially compressed tetrahedral clusters with retracted sticky patches, colloidal cubic diamond can be self-assembled by using patch-patch adhesion in combination with a steric interlock mechanism that selects the proper staggered bond orientation. Colloidal particles in the self-assembled cubic diamond structure are highly constrained and mechanically stable, which makes it possible to dry the suspension and retain the diamond structure. This makes these structures suitable as templates for forming high-dielectric-contrast photonic crystals with cubic diamond symmetry. Photonic band structure calculations reveal that the direct and inverse lattices exhibit promising optical properties, including a wide complete photonic band gap.
Bio: David Pine is the Julius, Roslyn, and Enid Silver Professor of Physics and Chair of the Department of Chemical and Biomolecular Engineering at New York University.