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PHASE DIAGRAM FOR L/D>5

In figure 5.2, the phase behavior for long rods is depicted as a function of to give equal emphasis to the different parts of the phase diagram. For larger values of , the I-N transition moves to lower densities and the density jump at the I-N transition, which is too small to be measured for rods with 5, increases to almost 20%, as , as predicted by Onsager theory. In contrast, the density of the nematic-smectic transition is not very sensitive to the length-to-width ratio of the rods and approaches the finite limit =0.47 as . Similarly, the smectic-to-solid transition exhibits only a weak dependence on and occurs still at 0.66 in the limit .

At values greater than approximately 7 a crystal phase with an 'AAA' stacking becomes stable between the smectic and the ABC stacked solid. This crystal phase is characterized by hexagonal planes which are stacked precisely on top of each other. At higher density the ABC stacked solid, which has the hexagonal planes shifted with respect to each other, will still be the most stable structure. The density of the AAA-ABC transition increases quickly for 7 to reach the close packing limit at .

More details on the phase behavior of long spherocylinders can be found in section 5.6.



Peter Bolhuis
Tue Sep 24 20:44:02 MDT 1996