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

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Presentation transcript:

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 (From chowdhury thesis) Brilloin zone

The nearest tight-binding for graphene The electronic dispersion of graphene

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

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

X-ray absorption in graphene: Dipole approximation: Matrix element for optical transition: are the tight binding wave function I p 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

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

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