Mixing by cutting-and-shuffling (like that for a deck of cards or a Rubik's cube) is a paradigm that has not been studied in detail even though it can be applied in a variety of situations including the mixing of granular materials. Mathematically, cutting- and-shuffling is described by piecewise isometries (PWIs),...
Two-step, solar thermochemical water splitting using nonstoichiometric oxides has emerged as an attractive approach for large-scale hydrogen production. Perovskite-structured oxides, with their wide tunability, offer the potential for high fuel productivity at moderate operating temperatures. Given the vast chemical space, the materials development effort is carried out here in combination...
Metal-organic frameworks (MOFs) are a class of nanoporous materials with highly tunable pore shape and chemistry. They are synthesized in a "building block" approach to form crystalline porous materials, which have been explored for diverse applications including gas storage and separations. Given the enormous size of the MOF design space,...