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Electron holography: A maximum entropy reconstruction scheme

T. Matsushita1, A. Yoshigoe2 and A. Agui2

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We propose a new algorithm based on the scattering pattern matrix and the maximum entropy method to achieve a very precise investigation of the three-dimensional atomic nucleus positions in material by the electron holography technique. The forward scattering problems, i.e. strong intensity of forward focusing peak, and frequency shift in the forward scattering region, are solved in this algorithm, since the forward scattering effects are almost perfectly taken into account. We applied the algorithm to an experimental single-energy hologram of Si 2s photoemission with kinetic energy Ek = 1110.3 eV from a Si(001) single-crystal surface and succeeded in reconstructing the atomic nucleus positions of the Si bulk structure. The reconstructed space size is about 800 picometers, and as many as 21 atoms are recognized. The accuracy of the position for most atoms is within 50 picometers.


PACS

61.05.J- Electron diffraction and scattering

79.60.-i Photoemission and photoelectron spectra

42.40.-i Holography

Subjects

Condensed matter: electrical, magnetic and optical

Optics, quantum optics and lasers

Dates

Issue 4 (August 2005)

Received 14 February 2005, accepted for publication 23 June 2005, in final form 23 June 2005

Published 22 July 2005


An Erratum for this article has been published in 2005 Europhys. Lett. 71 877


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