http://c4d.udg.edu
Madrid
#G4G_CoM_MAD7/11/2011, FM UCM
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 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
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
e Criptografia, 2007
Quantum worldQuantum world Physical systems may be represented
by states in superpostion, e.g:
|alive >
|dead >
Quantum state: |0 > |1 >
+
+Quantum bit: qubit
Einstein-Podolski-Rosen pairsQuantum Entanglement
Quantum Cryptography
Curs d’estiu de Criptografia, 2007
Quantum key distribution: most important! One-time keypad, length of key=length of messageGenerated through EPR pairs
Retained bit sequence 1 – – 1 0 0 – 1 0 0 – 1 – 0Bob’s measurement 1 0 0 1 0 0 1 1 0 0 0 1 0 0
Bob’s detection basisAlice’s bit sequence 1 0 1 1 0 0 1 1 0 0 1 1 1 0
Light source
Alice
Bob
Diagonal detector basis
Horizontal-vertical detector basis
Diagonal polarization filters
Horizontal-vertical polarization filters
Relation to the Gilbreath principle and Martin Gardner
My preferred chemist: Panoramix
Thank you very much for your attention!
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