Quantum Size Effect of Bloch Wave Functions of Ultra-High Energy Electrons in a Thin Single-Crystal Film

Author:

Shkornyakov S. M.1

Affiliation:

1. Shubnikov Institute of Crystallography of the FSRC “Crystallography and Photonics” of the RAS

Abstract

The reflection coefficient of ultra-high-energy electrons (~1 MeV) at their normal incidence on a thin single-crystal film is calculated. It is shown that even at such high particle energies, the quantum size effect of the Bloch waves formed in the film is noticeably manifested. Narrow Bragg reflection peaks are found to appear at certain electron energies. A formula is given that determines their position and intensity on the reflection curve. A comparison is made of reflection coefficients at medium, high and ultra-high particle energies.

Publisher

The Russian Academy of Sciences

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