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Packing of Objects

Packing of Objects. Important for efficiency, but... Why do we care about this from the “nano” perspective?. Dense Nano-Materials. Photonic Crystals. John Joannopoulos, MIT. Paul Braun, UIUC. Dense Nano-Materials. Recording Media. Chris Murray, IBM. Dense Nano-Materials. Separations.

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Packing of Objects

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  1. Packing of Objects Important for efficiency, but... Why do we care about this from the “nano” perspective?

  2. Dense Nano-Materials Photonic Crystals John Joannopoulos, MIT Paul Braun, UIUC

  3. Dense Nano-Materials Recording Media Chris Murray, IBM

  4. Dense Nano-Materials Separations David Hoagland, UMass

  5. Kepler’s ConjectureandHilbert’s 18th Problem Kepler’s ‘De Nive Sexangula’, 1611 “ How can one arrange most densely in space an infinite number of equal solids of given form...how can one so fit them together that the ratio of the filled to the unfilled space may be as great as possible?” – David Hilbert, 1900

  6. Granular or Particulate Packing 2-D crystallization is easy with macroscopic objects...in 3-D, not so easy. 67%=maximum packing observed in macroscopic media (Phys. Rev. Lett. 79, 3640-3643.) Why is packing of micro- or nanoscopic spheres so easy by comparison? (see: opals)

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