A method and apparatus for orientation of block copolymer microdomains via rapid
solidification. Rapid solidification from a solvent may include directional solidification
and/or epitaxy to form patterns of microdomains in a film of block copolymer. Microdomains
may include various structures formed by components of a block copolymer, such
as vertical lamellae, in-plane cylinders, and vertical cylinders, and may depend
on film thickness. Orientation of structures in microdomains may be controlled
to be approximately uniform, and spatial arrangement of microdomains may be controlled.