The Measurement of the Nematic Order Parameter by X-ray Scattering Reconsidered

Autor: Davidson, P., Petermann, D., Levelut, A. M., Davidson, P., Petermann, D., Levelut, A. M.
Zdroj: Journal de Physique II; January 1995, Vol. 5 Issue: 1 p113-131, 19p
Abstrakt: This paper reviews and extends the procedure used to measure the nematic order parameter by X-ray scattering. We show that the well-known integral equation derived by Leadbetter and coworkers, relating the scattered intensity $I(\theta)$to the orientational distribution function $f(\beta)$, can be analytically simplified both in the general case and in the case of the Maier-Saupe distribution function. The Maier-Saupe distribution leads to a particularly simple analytical result previously obtained by Paranjpe and Kelkar. This result is extensively discussed here and tested on a large variety of thermotropic liquid crystals. In most cases, this very simple and practical approach provides a good description of the data. This supports at the same time the analysis of the scattering leading to Leadbetter's integral equation and the Maier-Saupe distribution. We also discuss the validity and accuracy of this simple method compared to other ones.
Databáze: Supplemental Index