Critical behaviour of a polar-polar binary system from optical birefringence measurements

ABSTRACT

High resolution measurements of optical birefringence (Δn) have been carried out to study the critical behaviour at the nematic-isotropic (N–I) and smectic A-nematic (SmA–N) phase transitions in a binary system composed of nonyloxycyanobiphenyl (9OCB) and heptylcyanobiphenyl (7CB). From a fitting procedure compatible with the weakly first order nature of the N–I transition, the order parameter critical exponent β at the N–I transition has been found to be in well agreement with the tricritical hypothesis. The pretransitional behaviour at the SmA–N transition has been investigated with the aid of a differential parameter extracted from Δn data and the yielded critical exponent α has been found to be non-universal in nature. A weak birefringence have been found to develop on approaching the N–I transition temperature, which is tentatively attributed to surface induced ordering. In this case, a treatment identical to that for the SmA–N transition yields a tricritical nature for the N–I transition in the investigated mixtures. Such an outcome has also appeared to be in well agreement with those obtained from the direct analysis of the Δn data (i.e. in parameterisation of β).

Graphical Abstract

KEYWORDS:

• Phase transition
• optical birefringence
• critical behaviour
• critical exponent
• tricritical point (TCP)

Additional information

Funding

We gratefully acknowledge financial support from Department of Science and Technology, New Delhi [Project No: SB/EMEQ-290/2013]. A.C. is grateful to the University Grants Commission (New Delhi) for the award of a Senior Research Fellowship.