We study the optimal packing of hard spheres in an infinitely long cylinder [1-4]. Our simulations have yielded dozens of periodic, mechanically stable, structures as the ratio of the cylinder (D) to sphere (d) diameter is varied. Up to D/d=2.715 the densest structures are composed entirely of spheres which are in contact with the cylinder. The density reaches a maximum at discrete values of D/d when a maximum number of contacts are established. These maximal contact packings are of the classic "phyllotactic" type, familiar in biology. However, between these points we observe another type of packing, termed line-slip.
Ionic liquids are an emerging class of solvents with an appealing set of physical attributes. These include negligible vapor pressure, impressive chemical and thermal stability, tunable solvation properties, high ionic conductivity, and wide electrochemical windows. In particular, the non-volatility renders ionic liquids practical components of devices, but they require structure-directing agents to become functional materials. Block polymers provide a convenient platform for achieving desirable nanostructures by self-assembly, with lengthscales varying from a few nanometers up to several hundred nanometers. Furthermore, ionic liquids and polymer blocks can be selected to impart exquisitely tunable thermosensitivity, by exploiting either upper or lower critical solution transitions (UCSTs and LCSTs).
A series of lectures in modern nanostructural polymer science and it's applications. Please note the dates and times of the individual lectures: Lecture 1: November 7, 12:00 PM “Layered and Fibrillar Polymeric Systems by NanoExtrusion - Forced Assembly”; Lecture 2: November 8, 1:30 PM “New Polymeric NanoSystems - Lessons from Nature and Hierarchical Structures”; and Lecture 3: November 9, 3:00 PM “Applications for New Nanolayered Composites and Membrane Filters”.