http://c4d.udg.edu

Madrid#G4G_CoM_MAD7/11/2011, FM UCM

The Maths of Chemistry

But are those ALL maths in chemistry?

There is some nice stuff out there too!

QuirkChemistryMoebius aromaticity

QuirkChemistry

Penrose Staircase

QuirkChemistryBorromean Molecules

QuirkChemistryTrefoil Knotted Molecules

To knot or not to knot, that’s the question

QuirkChemistrySolomon Ring Molecules

QuirkChemistryArquimedian 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 experimentDead 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!

Further information:

http://miquelduran.net

http://edunomia.net

http://c4d.udg.edu

miquel.duran@udg.edutwitter, facebook: miquelduran

http://c4d.udg.edu

a Girona#G4G_CoM