Jw. Goodby et al., CHIRALITY AND FRUSTRATION IN ORDERED FLUIDS, Molecular crystals and liquid crystals science and technology. Section A, Molecular crystals and liquid crystals, 243, 1994, pp. 231-298
Chirality in liquid crystal systems is a complex and sometimes difficu
lt concept to understand and appreciate. In this article we review som
e of the reduced symmetry aspects of calamitic liquid crystal phases w
ith reference to point symmetry, space symmetry, and helicity. We util
ize these concepts in the discussion of new results obtained on Twist
Grain Boundary phases, inversions in chiral dependent properties such
as the helicity in cholesteric and smectic C phases and the spontaneo
us polarization in ferroelectric liquid crystals, and antiferroelectri
c behaviour in low molar mass systems. Our observations suggest that m
any novel effects found in chiral liquid crystals are a result of conf
licts between the effects of reduced symmetry and the desire to form n
ormal liquid-crystalline structures, i.e., a form of frustration exist
s.