Physical Review E
liquid crystals, phases
The most frequently observed focal conic domains (FCD’s) in lamellar phases are those based on confocal paris of ellipse and hyperbola. Experimentally, the eccentricity of the ellipse takes a broad range of values 0<~eeisolated FCD reaches a minimum only at e⃗1 (under the constraint of a fixed major semiaxis of the ellipse); exceptions include situations with large saddle-splay elastic constant and small domains where the applicability of the elastic theory is limited. In realistic cases, a value of eccentricity smaller than 1 is stabilized by factors other than the curvature energy: by dislocations emerging from the FCD’s with e≠0, compression of layers and surface anchoring.
Kleman, Maurice and Lavrentovich, Oleg (2000). Curvature Energy of a Focal Conic Domain with Arbitrary Eccentricity. Physical Review E 61(2), 1574-1578. doi: 10.1103/PhysRevE.61.1574 Retrieved from http://digitalcommons.kent.edu/cpippubs/80