Title: A group theoretic treatment of f-electrons in endohedral fullerenes

Authors: Wajood A. Diery, Mohammed Saeed G. Al-Ahmadi, Khursheed Athar Siddiqui

Addresses: Department of Physics, Faculty of Science, King Abdulaziz University, Jeddah, Kingdom of Saudi Arabia. ' Department of Physics, Faculty of Science, King Abdulaziz University, Jeddah, Kingdom of Saudi Arabia. ' Department of Physics, Faculty of Science, King Abdulaziz University, Jeddah, Kingdom of Saudi Arabia

Abstract: The most abundant fullerene molecule, C₆₀, has just the right size, chemical stability and activity to host a large variety of atoms. Endohedrally doped fullerenes have been synthesised in the past. A rare earth doped fullerene shows an icosahedral symmetry. A group theoretic treatment of f-electrons in a strong icosahedral crystal field has been discussed in the present study. This method shows a convenience over the conventional structures given by Racah for the treatment of f electrons in strong crystal fields. It is expected that it will make the perturbation calculations easier. These calculations will lead to an understanding of magnetic properties of nano devices.

Keywords: endohedral fullerenes; f-electrons; unitary group; group theory; perturbation; nanotechnology; magnetic properties; nanodevices.

DOI: 10.1504/IJNP.2009.028777

International Journal of Nanoparticles, 2009 Vol.2 No.1/2/3/4/5/6, pp.423-429

Published online: 30 Sep 2009 *

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