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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. C 60. EELS. Im(-1/ ). ω · Im( ).
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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
EELS Im(-1/)
ω·Im() Eprimer = 170 keV
! Eb = 285.0 eV
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
Inelastic light scattering: classical picture induced dipole moment k 0 0 0 k 0 k polarizability anti-Stokes Stokes Rayleigh 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 0 w, w, w, 0
hin hout hin hout hin hout resonance Raman (incoming)