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

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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 of reflection coefficients at intermediate, high, and ultra-high particle energies is made.

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This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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  1. Shubnikov Institute of Crystallography, Federal Scientific Research Center “Crystallography and Photonics,” Russian Academy of Sciences, 119333, Moscow, Russia

    S. M. Shkornyakov

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  1. S. M. Shkornyakov
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Correspondence to S. M. Shkornyakov.

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Shkornyakov, S.M. Quantum-Size Effect of Bloch Wave Functions of Ultra-High Energy Electrons in a Thin Single-Crystal Film. J. Surf. Investig. 18, 111–115 (2024). https://doi.org/10.1134/S1027451024010166

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  • DOI: https://doi.org/10.1134/S1027451024010166

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