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

• Authors: G. Kontrym-Sznajd
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

78.70.Bj; 71.18.+y; 87.59.Hp

Discipline

• 78.70.Bj: Positron annihilation(for positron states, see 71.60.+z in electronic structure of bulk materials; for positronium chemistry, see 82.30.Gg in physical chemistry and chemical physics)
• 71.18.+y: Fermi surface: calculations and measurements; effective mass, g factor

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2008
• Volume: 113
• Issue: 5
• Pages: 1417-1427

Dates

published

2008-05

received

2007-09-03

Contributors

author

G. Kontrym-Sznajd

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

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Identifiers

DOI

10.12693/APhysPolA.113.1417