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An introduction to x-ray absorption in graphene1

An introduction to x-ray absorption in graphene1. Pourya Ayria Supervisor: professor Saito 30 March 2013. Overview. Graphene unite cell The nearest tight binding for graphene Dispersion relation for 1s orbital X-ray absorption in graphene Dipole vector. Graphene unit cell. graphene.

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An introduction to x-ray absorption in graphene1

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  1. An introduction to x-ray absorption in graphene1 Pourya Ayria Supervisor: professor Saito 30 March 2013

  2. Overview • Graphene unite cell • The nearest tight binding for graphene • Dispersion relation for 1s orbital • X-ray absorption in graphene • Dipole vector

  3. Graphene unit cell graphene Brilloin zone (From chowdhury thesis)

  4. The nearest tight-binding for graphene • The electronic dispersion of graphene

  5. The nearest tight-bindig for graphene • The electronic dispersion of graphene without considering overlap S=0 • Eigenvalue • Eigenvalue

  6. The calulated energy dispersion relation of 1s band of graphen • 1s orbital energy -283.5 is considered under fermi level; however, some papares indicated that it is around -285. and t=0.1, S=0.

  7. X-ray absorption in graphene: • Dipole approximation: Matrix element for optical transition: are the tight binding wave function Ip the energy density of electromagnetic wave. D dipole vector. P polarization of wave. The transition probability per one second as function of k: The absoption itensity I(E) : is the density of states at energy E

  8. Dipole vector • Dipole vector for transition to (matrix.f90) • The oscillation strength is

  9. Reference: • Physical Properties of Carbon Nanotues, R.Saito,G.Dresselhaus,M.S Dresselhaus, Impreial college Press • M.T.Chowdhury M.S Thesis Thanks dear hesky and nugraha. END

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