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#DCE FIGUERES
                23/11/2011, IES RM




            Madrid



http://c4d.udg.edu
Periodic Table, Elemets and Molecules: Are there Mathematics within
Chemistry?

Quantum excursions and curious encounters in Chemistry 2.0

Madrid, 7 November 2011, Univ Complutense
The Maths of Chemistry




But are those ALL
maths in chemistry?
There is some nice stuff
out there too!
QuirkChemistry
Moebius aromaticity
QuirkChemistry
Penrose Staircase
QuirkChemistry
Borromean Molecules
QuirkChemistry
Trefoil Knotted Molecules




                   To knot or not to
                   knot, that’s the question
QuirkChemistry
Solomon Ring Molecules
QuirkChemistry
Arquimedian Endohedric Molecules
Fullerenes, Nobel Prize 1996 chem
Fullerenes
Endohedral fullerenes: space
ships?




                 He@C60
Nanocars
Nanotubes
Graphene, Nobel Prize 2010 ph
Graphene: light polarizing filter
Nature 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
Not long ago (AJP 5-Abr): from
Schrödinger’s Cat to Schrödinger’s Octopus




Quantum interference of large molecules:
 wave-particle duality
Schrödinger’s Cat experiment
Dead or alive?
Is card red or black?
Qubit

Quantum computing
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
Einstein-Podolski-Rosen pairs
Quantum Entanglement

Quantum Cryptography
Quantum key distribution: most important!
One-time keypad, length of key=length of
message
Generated 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
Relation to the Gilbreath
principle and Martin Gardner
Wikipedia: Penrose Tiling (let’s play!)
Tilings Encyclopaedia: romb Penrose tiling
Informació sobre Premi Nobel Química
2011: quasicristalls
Let’s contribute to Viquiprojecte!
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!
#G4G_CoM




            a Girona



http://c4d.udg.edu

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20111123 dce-figueres