20111107 g4g-com-mad

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20111107 g4g-com-mad

  1. 1. #G4G_CoM_MAD 7/11/2011, FM UCM Madridhttp://c4d.udg.edu
  2. 2. The Maths of ChemistryBut are those ALLmaths in chemistry?There is some nice stuffout there too!
  3. 3. QuirkChemistryMoebius aromaticity
  4. 4. QuirkChemistryPenrose Staircase
  5. 5. QuirkChemistryBorromean Molecules
  6. 6. QuirkChemistryTrefoil Knotted Molecules To knot or not to knot, that’s the question
  7. 7. QuirkChemistrySolomon Ring Molecules
  8. 8. QuirkChemistryArquimedian Endohedric Molecules
  9. 9. Fullerenes, Nobel Prize 1996 chem
  10. 10. Fullerenes
  11. 11. Endohedral fullerenes: spaceships? He@C60
  12. 12. Nanocars
  13. 13. Nanotubes
  14. 14. Graphene, Nobel Prize 2010 ph
  15. 15. Graphene: light polarizing filterNature Photonics 5, 411–415 (2011) (abril 2011)we demonstrate the operation of a broadband fibre polarizer based on graphene, an ultrathin two-dimensional carbon material. The out- coupled light in the telecommunication band shows a strong s- polarization effect with an extinction ratio of 27 dB. Unlikecan support transverse-electric-mode surface wave propagation due to its linear dispersion of Dirac electrons. polarizers made from thin metal film, a graphene polarizer
  16. 16. Not long ago (AJP 5-Abr): fromSchrödinger’s Cat to Schrödinger’s OctopusQuantum interference of large molecules: wave-particle duality
  17. 17. Schrödinger’s Cat experimentDead or alive?Is card red or black?
  18. 18. QubitQuantum computing
  19. 19. Quantum world Quantum world Physical systems may be represented by states in superpostion, e.g: |alive > |dead > +Quantum state: |0 > + |1 > Quantum bit: qubit e Criptografia, 2007
  20. 20. Einstein-Podolski-Rosen pairsQuantum EntanglementQuantum Cryptography
  21. 21. Quantum key distribution: most important!One-time keypad, length of key=length ofmessageGenerated through EPR pairs Bob Alice Diagonal detector basis Diagonal polarization filters Horizontal- vertical Horizontal-vertical detector basis polarization filters Light source Alice’s bit sequence 1 0 1 1 0 0 1 1 0 0 1 1 1 0 Bob’s detection basis Bob’s measurement 1 0 0 1 0 0 1 1 0 0 0 1 0 0 Retained bit sequence 1 – – 1 0 0 – 1 0 0 – 1 – 0 Curs d’estiu de Criptografia, 2007
  22. 22. Relation to the Gilbreathprinciple and Martin Gardner
  23. 23. My preferred chemist: Panoramix Further information: http://miquelduran.net http://edunomia.net http://c4d.udg.edu miquel.duran@udg.edu twitter, facebook: miquelduran Thank you very much for your attention!
  24. 24. #G4G_CoM a Gironahttp://c4d.udg.edu

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