Formalism of collective electron excitations in fullerenes
Frankfurt Institute for Advanced Studies,
Goethe-Universität, Ruth-Moufang-Str. 1, 60438
Frankfurt am Main,
2 St. Petersburg State Polytechnic University, Politekhnicheskaya ul. 29, 195251 St. Petersburg, Russia
a e-mail: email@example.com
b On leave from A.F. Ioffe Physical Technical Institute, St. Petersburg, Russia.
Received in final form: 29 June 2012
Published online: 4 October 2012
A formalism for the description of collective electron excitations in fullerenes by inelastic scattering of fast electrons within the plasmon resonance approximation is presented. Considering the system as a spherical shell of a finite width, we show that the differential cross section is defined by three plasmon excitations, namely two coupled modes of the surface plasmon and the volume plasmon. The interplay of the three plasmons appears due to the electron diffraction of the fullerene shell. Plasmon modes of different angular momenta provide dominating contributions to the differential cross section depending on the transferred momentum.
Key words: Topical issue: Atomic Cluster Collisions. Guest editors: Andrey V. Solov’yov and Andrey V. Korol
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2012