CARBON NANOSTRUCTURES (FULLERENES, CARBON NANOTUBES, GRAPHENE)

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CARBON NANOSTRUCTURES (FULLERENES, CARBON NANOTUBES, GRAPHENE) lecture for physics and chemistry students (2017. summer semester – 06. April) Prof. Jenő Kürti ELTE Department of Biological Physics e-mail: kurti@virag.elte.hu www: virag.elte.hu/kurti

C60

EELS Im(-1/)

ω·Im() Eprimer = 170 keV

! Eb = 285.0 eV

Raman- and infrared spectroscopy VIBRATIONS: Raman- and infrared spectroscopy

Sir Chandrasekhara Venkata Raman (7 November 1888 – 21 November 1970) The Nobel Prize in Physics 1930 "for his work on the scattering of light and for the discovery of the effect named after him".

anti - Stokes Stokes D.A. Long: Raman spectroscopy McGraw-Hill, 1977

http://www.raman.de/htmlEN/basics/intensityEng.html

https://faculty.unlv.edu/klipinska/assets/Lab/RAMAN/

Inelastic light scattering: classical picture induced dipole moment k k k polarizability Rayleigh anti-Stokes Stokes Raman

Inelastic light scattering: QM picture w1 w2 w1 w2 w (ħ=1) ground state - - w2 = w1 + w w2 = w1 – w wikipedia

1st order Raman (Stokes) phonon q  0 (–point) w2 = w1 – w photon in photon out a b w, w, w,

hin hout hin hout hin hout resonance Raman (incoming)

g = 120

Eddig mondtam el április 6-án