Joost de Graaf Anisotropic Nanocolloids - Universiteit Utrecht

Joost de Graaf Anisotropic Nanocolloids - Universiteit Utrecht Joost de Graaf Anisotropic Nanocolloids - Universiteit Utrecht

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09.11.2014 Views

Properties of Dense Regular Packings 191 (a) (b) (c) (d) (e) (f) Figure B.3: Two views (a) and (b) of the cap model used in our simulations. Note the buckling that has occurred in the impression left by the shell collapse. (c) A columnar phase (N = 1), 27 periodic images are shown. For N = 2, 3, 4, and 5, we obtain braided phases without inversion [176]. (d) The caps and unit cell for N = 4. The different caps are labelled with different colours. (e) The structure this unit cell generates is a binary braided configuration, only 8 periodic images are shown. (f) A rough braided phase with inversions (N = 6), which looks similar to the ‘IB phase’ predicted in Ref. [176], again only 8 periodic images are shown.

192 Appendix B (a) (b) (e) (c) (d) (f) (g) Figure B.4: Different views (a) - (e) of a hammerhead-shark model [281]. The unit cell of the densest regular packing (φ LB = 0.472 . . . ) is shown in (f) and a piece of the crystal in (g). The crystal structure is a double lattice where two hammerhead sharks (red, blue) point in opposite directions and one is rotated by an angle of π radians around its long axis with respect to the other, thereby forming a centrosymmetric dimer.

Properties of Dense Regular Packings 191<br />

(a)<br />

(b)<br />

(c)<br />

(d)<br />

(e)<br />

(f)<br />

Figure B.3: Two views (a) and (b) of the cap mo<strong>de</strong>l used in our simulations. Note the buckling<br />

that has occurred in the impression left by the shell collapse. (c) A columnar phase (N = 1),<br />

27 periodic images are shown. For N = 2, 3, 4, and 5, we obtain brai<strong>de</strong>d phases without<br />

inversion [176]. (d) The caps and unit cell for N = 4. The different caps are labelled with<br />

different colours. (e) The structure this unit cell generates is a binary brai<strong>de</strong>d configuration,<br />

only 8 periodic images are shown. (f) A rough brai<strong>de</strong>d phase with inversions (N = 6), which<br />

looks similar to the ‘IB phase’ predicted in Ref. [176], again only 8 periodic images are shown.

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