1 / 9

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.

lawrence-miles
Download Presentation

An introduction to x-ray absorption in graphene1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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

More Related