2009
DOI: 10.1080/00268970903160605
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Phase diagram of hard colloidal platelets: a theoretical account

Abstract: We construct the complete liquid crystal phase diagram of hard plate-like cylinders for variable aspect ratio using Onsager's second virial theory with the Parsons-Lee decoupling approximation to account for higher-body interactions in the isotropic and nematic fluid phases. The stability of the solid (columnar) state at high packing fraction is included by invoking a simple equation of state based on a Lennard-Jones-Devonshire (LJD) cell model which has proven to be quantitatively reliable over a large range … Show more

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Cited by 52 publications
(85 citation statements)
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“…One should note that the overall appearance obtained for the 2D phase diagram (Fig. 7) markedly resembles that of 3D systems of prolate and oblate ellipsoids, spherocylinders, and cut-spheres with variable aspect ratio (see references 32,[45][46][47] ). In particular, the isotropic-nematic transition line goes up in occupied area (volume) fraction upon decreasing the particle aspect ratio to eventually meet up with a strongly first-order and almost anisometric-independent fluid-solid transition.…”
Section: Discussionmentioning
confidence: 99%
“…One should note that the overall appearance obtained for the 2D phase diagram (Fig. 7) markedly resembles that of 3D systems of prolate and oblate ellipsoids, spherocylinders, and cut-spheres with variable aspect ratio (see references 32,[45][46][47] ). In particular, the isotropic-nematic transition line goes up in occupied area (volume) fraction upon decreasing the particle aspect ratio to eventually meet up with a strongly first-order and almost anisometric-independent fluid-solid transition.…”
Section: Discussionmentioning
confidence: 99%
“…(3) for the present case of aggregating cylinders is provided in Appendix A.Here we only note that the present system, in the limit of high T where polymerization is not effective, reduces to a fluid of hard quasicylinders, where the use of Parsons-Lee factor is justifiable [64,68,69]. Moreover, in the dilute limit (η(φ) → 1) the excluded volume term in Eq.…”
Section: Theorymentioning
confidence: 99%
“…[46] we include the Parson-Lee factor. Indeed, the Parson decoupling approximation satisfactory models the phase diagram of uniaxial hard ellipsoids [63], hard cylinders [64], linear fused hard spheres chains [65], mixtures of hard platelets [66], hard sphero-cylinders [67][68][69], rod-plate mixtures [70], mixtures of rod-like particles [71,72] and mixtures of hard rods and hard spheres [73]. On the other hand, Ref.…”
Section: Theorymentioning
confidence: 99%
“…33 For monodisperse hard rods, this theory proved successful in accounting for the isotropic-to-nematic phase transition [34][35][36][37] and it was then extended to study mixtures of such particles, 38 also including smectic phases. [39][40][41] For hard discs, the Parsons theory has also been applied, 42,43 but, as it reduces to Onsager theory 44 for thin particles, it does not describe the isotropic-nematic phase transition too well in the thin platelet limit.…”
Section: Appendix: Comparison Between Present Theory and Kirkwood-bufmentioning
confidence: 99%