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INTERNATIONAL
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Entropy in Self-Assembly - Lecture 1
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- 1 INTERNATIONAL
- 2 Francesco Sciortino
- 3 Outline
- 4 Translational entropy Rotational Mixing entropy Packing entropy entropy entropy
- 5 Phase Transition for a Hard Sphere System
- 6 Which one is more disordered
- 7 Hard Spheres HS
- 8 Sterically stabilized PMMA particles polydispersity 5-10 %
- 9 At constant V, we need to maximize the entropy
- 10 Which one is more disordered
- 11 A proxy to translational Entropy...
- 12 Stable Crystal
- 13 Orientation Entropy
- 14 Isotropic-Nematic Transition Onsager Theory
- 15 Dashed -Isotropic Full - Nematic
- 16 In the case of the nematic, there is an additional contribution equal to
- 17 Nematic to...
- 18 How do we calculate the fluid entropy numerically
- 19 Entropy and flexibility translation+rotation
- 20 Example of patchy particles
- 21 DNA constructs: Limited-valence patchy particles
- 22 DNA-coated patchy colloids
- 23 Entropy decides the most stable phase exactly as in HS!
- 24 Key elements for liquid stability at T=0 K: ultrastable liquids !
- 25 Crystal Selection by Entropy
- 26 S=LIL2
- 27 Predictive Self-Assembly of Polyhedral into Complex Structures
- 28 Entropic Attraction Large HS in a bath of small HS
- 29 Depletion interaction
- 30 Let's assume we have A large HS and M small HS.
- 31 AT Oc Op
- 32 M13M [V - 2Vo + Voverlap R JM _ V -2VoM
- 33 Same story from a different perspective
- 34 Real hard-spheres
- 35 Visualization of depletion forces
- 36 Vol 453| 22 May 2008 | doi:10.1038/nature06931
- 37 Depletion: shape and roughness
- 38 Osmotically driven shape-dependent colloidal separations
- 39 Another example
- 40 Lock and key colloids
- 41 Surface roughness directed self-assembly of patchy particles into colloidal micelles
- 42 Playing with the properties of the co-solute