Transform Methods of Computerized Tomography in Studying Electronic Structure and Fermi Surfaces of Solids

G. Kontrym-Sznajd Institute of Low Temperature and Structure Research, Polish Academy of Sciences, P.O. Box 1410, 50-950 Wrocław 2, Poland

Full Text PDF

Received: 3 09 2007;

We present mathematical methods of computerized tomography, based on an analytical inversion of the Radon transform either in terms of the Fourier transforms or series of orthogonal polynomials. These techniques, so-called transform methods, are discussed for reconstructing electronic densities from both line and plane projections measured either in the two-dimensional angular correlations of annihilation radiation or in one-dimensional angular correlations of annihilation radiation and the Compton scattering experiments. This paper is devoted to review all of the papers where such techniques were applied for studying electronic momentum densities and the Fermi surface of solids by angular correlations of annihilation radiation and the Compton scattering experiments.

DOI: 10.12693/APhysPolA.113.1417 PACS numbers: 78.70.Bj, 71.18.+y, 87.59.Hp