“…The behaviour of typical nematic phases has been shown to be broadly consistent with Maier-Saupe theory [13], for which the different order parameters have a consistent relationship, enabling the distribution function f(β) (peaked at β = 0) to be inferred reliably from a single value of hP 2 i. However, some phases do not exhibit behaviour consistent with such distribution functions, such as the twist-bend (TB) phase, which is reported to exhibit a heliconical structure [14,15], and the de Vries smectic A phase, which is proposed to exhibit a sugar-loaf or diffuse-cone (volcano) distribution function [16][17][18][19], in which the maximum probability of molecular orientations is not necessarily at β = 0. Measurements of hP L i values for L ≥ 2 are required to study systems with such distribution functions, and reliable techniques for determining these values are highly desirable since a maximum entropy argument [3,13] can be used to infer an orientational distribution function from measured values of hP n i.…”