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Abstract
A hyperscaling relation v″ + 2v┴ = 2 – α is examined for the nematic to smectic A transition of 4-octyloxy-4′-cyanobiphenyl (8OCB) and 4-octyl-4′-cyanobiphenyl (8CB). From the heat capacity results, 2-α is analyzed to be 1.84 ± 0.03 for 8OCB and 1.75 ± 0.02 for 8OCB. On the other hand v″ + 2v┴ is calculated from the results reported by X-ray experiments to be 1.87 ± 0.12 for 8OCB and 1.69 ± 0.11 for 8CB. From the above coincidences the hyperscaling relation is found to be applicable to the nematic to smectic A transition.
