High Solids Coating with Star-shaped Polymers

Star-shaped solids: Objects with a negative dimension

A square sheet of aluminum foil is considered 2-dimensional because its mass is proportional to its diameter to the power of 2. A solid aluminum sphere is considered 3-dimensional because its mass is proportional to its diameter to the power of 3. An aluminum wire is considered 1dimensional because its mass is proportional to its length. The mass is proportional to length to the power of 1. Fro...

Scaling of star polymers: high order results

We extend existing renormalization group calculations for the exponents describing scaling of star polymers and polymer networks constituted by chains of different species (the so-called copolymer star exponents). Our four loop results find application in the description of various phenomena involving self-avoiding and random walks that interact.

Design and use of organic nanoparticles prepared from star-shaped polymers with reactive end groups.

Star-shaped poly(isobornyl acrylate) (PiBA) was prepared by atom transfer radical polymerization (ATRP) using multifunctional initiators. The optimal ATRP conditions were determined to minimize star-star coupling and to preserve high end group functionality (>90%). Star-shaped PiBA with a narrow polydispersity index was synthesized with 4, 6, and 12 arms and of varying molecular weight (10,000 ...

Star-Shaped and L-Shaped Orthogonal Drawings

An orthogonal drawing of a plane graph G is a planar drawing of G, denoted by D(G), such that each vertex of G is drawn as a point on the plane, and each edge of G is drawn as a sequence of horizontal and vertical line segments with no crossings. An orthogonal polygon P is called orthogonally convex if the intersection of any horizontal or vertical line L and P is either a single line segment o...

Convexifying star-shaped polygons