Eur. Phys. J. D (2026) 80: 100
https://doi.org/10.1140/epjd/s10053-026-01174-3

Research - Photon

Study of spontaneous radiation during planar channeling of relativistic electrons in crystals with fluorite structure

Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

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Received: 5 February 2026
Accepted: 27 April 2026
Published online: 5 July 2026

Abstract

In this paper, we investigate the features of the spontaneous radiation arising during planar channeling of the relativistic electrons with Lorentz factors γ = 10, 20, 30, 50, 100, and 150 in the main crystallographic planes (100), (110), and (111) of the ${\text{CaF}}_2$, ${\text{SrF}}_2$, and ${\text{BaF}}_2$ crystals with fluorite structure. Electron beams with angular dispersions of 0.1, 0.5, 1 mrad are considered. The interaction potentials of electrons with the charged crystallographic planes are calculated using the Moliere, Barrett, and Firsov approximations at a temperature T = 300°K. It is shown that the structure and depth of the interaction potentials depend strongly on the approximation employed. In particular, in the (100) and (111) planes, a significant contribution to the interaction potential arises from long-range Coulomb terms associated with uncompensated effective charges of the ${\text{Ca}}^{2+}$, ${\text{Sr}}^{2+}$, ${\text{Ba}}^{2+}$, and ${\text{F}}^{-}$ ions. Based on the obtained potentials, the transverse energy levels and the wave functions are numerically calculated, and the spectral distributions of spontaneous radiation are analyzed. The existence of optimal angular dispersions maximizing the radiation intensity is demonstrated. It is shown that crystals with fluorite structure provide more efficient spontaneous radiation compared to traditionally used diamond, silicon, and germanium crystals.