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Original Articles

Optical Transforms of Models for Smectic a Liquid Crystals: Comparison of High-Resolution X-Ray Diffraction Patterns with Optical Transforms of Model Density Functions

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Pages 165-171 | Received 30 Apr 1987, Published online: 02 Dec 2013
 

ABSTRACT

Optical transforms of two-dimensional model functions for smectic A structures have been produced using a laser- optical Fraunhofer diffraction set-up. The schematic models enable, in particular, the control of two influential parameters:

(i)

the structure factor of the smectic layers and

(ii)

the effect of transverse undulations of the smectic layers.

The comparison of optical transforms with high-resolution X-ray diffraction patterns of magnetically oriented smectic A liquid crystals reveals that both the structure factor and transverse undulations affect the profile and intensity of the peaks in the X-ray diffraction pattern. The optical transform of the best schematic model only shows one meridional reflection and a lateral broadening. Both characteristics of this very sharp reflection are observed in the X-ray pattern for a well aligned smectic A structure.

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