Nematic Liquid Crystal Defects

Topological disclinations (+½ and -½) in a nematic director field — click to create defect pairs

+½ disclination
-½ disclination
24
10
8
5
Winding numbers: +½ defect rotates director by π around loop; -½ by -π. Defects of opposite charge attract and annihilate — topology is conserved.