ISSN 1063-7850, Technical Physics Letters, 2006, Vol. 32, No. 5, pp. 392–395. © Pleiades Publishing, Inc., 2006.
Original Russian Text © V.G. Baryshevsky, K.G. Batrakov, I.D. Feranchuk, A.O. Grubich, A.A. Gurinovich, A.S. Lobko, A.A. Rouba, P.F. Safronov, V.I. Stolyarsky, B.A. Tarnopol-
sky, A.P. Ulyanenkov, 2006, published in Pis’ma v Zhurnal Tekhnicheskoœ Fiziki, 2006, Vol. 32, No. 9, pp. 50–57.
392
The parametric X-ray radiation (PXR) that is gener-
ated when relativistic electrons propagate through an
oriented crystal target has been studied both theoreti-
cally and experimentally in sufficient detail (see, e.g.,
monograph [1] and review [2]). The most characteristic
feature of PXR in the relativistic case is the quasi-
monochromatic emission (with the possibility of fre-
quency tuning) at both small and large angles relative to
the direction of the incident particle beam. In contrast,
the coherent and noncoherent bremsstrahlung is pre-
dominantly concentrated along the incident beam
direction, although both types can also, in principle,
exhibit partial diffraction on the crystal planes. In the
case of nonrelativistic electrons, the angular distribu-
tions of emission according to all mechanisms become
virtually isotropic, which makes possible interference
between the PXR and the coherent bremsstrahlung
(CB) [3]. In what follows, the total coherent (CB plus
parametric X-ray) radiation generated by nonrelativis-
tic electrons in a crystal will be referred to as
CB&PXR. In the total radiation spectrum, even the
intense CB&PXR peaks are masked by the
bremsstrahlung background and can be revealed only
using a detector possessing high spectral and angular
resolution.
The investigations of CB&PXR are stimulated by
the fact that, according to recent estimates [4], the spec-
tral density of this radiation in a narrow frequency
interval ∆ω/ω ~ 10
–3
is comparable with the spectral
density of synchrotron radiation. Therefore, it is possi-
ble to create a quite compact tunable source of mono-
chromatic X-ray radiation for crystallographic investi-
gations and structural analysis.
At present, several experimental investigations of
the radiation generated by nonrelativistic electrons in
crystal targets have been reported [5–7], but no quanti-
tative interpretations of the peak intensities have been
proposed until now, because the observed radiation was
considered only in terms of the mechanism of CB emis-
sion. The CB&PXR model proposed in [3] makes pos-
sible adequate interpretation of such radiation spectra
and our experiments are aimed at further verification of
this theory. Below, we report the results of experimental
investigations of the properties of X-ray radiation and
their interpretation in terms of the theory [3] for elec-
trons with energies in the 50–100 keV range.
Let us first briefly consider the main requirements
on the experimental setup and conditions. Charged par-
ticles in a beam propagating in a crystal target exhibit
elastic and inelastic collisions, which lead to an
increase in the angular and energy dispersion of the
beam. The influence of electron scattering in a crystal
on the CB&PXR characteristics becomes significant
when either the full width at half maximum (FWHM)
(∆v/v) of the velocity distribution or the FWHM (∆θ)
of the angular distribution of particles in the beam is
Coherent Bremsstrahlung and Parametric X-ray Radiation
from Nonrelativistic Electrons in a Crystal
V. G. Baryshevsky, K. G. Batrakov, I. D. Feranchuk, A. O. Grubich,
A. A. Gurinovich*, A. S. Lobko, A. A. Rouba, P. F. Safronov, V. I. Stolyarsky,
B. A. Tarnopolsky, and A. P. Ulyanenkov
Institute for Nuclear Problems, Belarus State University, Minsk, Belarus
* e-mail: gur@inp.minsk.by
Received December 29, 2005
Abstract—X-ray radiation generated by nonrelativistic electrons interacting with a crystal target exhibits sev-
eral distinctive features in comparison to the relativistic case. The difference is related to the interference of the
parametric X-ray radiation and coherent bremsstrahlung, which takes place for the nonrelativistic electrons.
The characteristics of this radiation have been studied in the Bragg and Laue geometries in an electron micro-
scope using a beam of electrons with energies in the 50–100 keV range. The necessary requirements on the tar-
get parameters, the measuring instrumentation, and the experimental geometry are established. Variation of the
X-ray radiation frequency depending on the angle of electron beam incidence on the target in the region of non-
relativistic electron energies has been observed for the first time. The X-ray radiation frequency has been also
studied as a function of the primary electron beam energy. Tunable soft X-ray radiation with quantum energy
in the range below 1 keV is obtained. The radiation quantum yield per electron within a unit solid angle amounts
to ~10
–8
.
PACS numbers: 61.85.+p, 13.88.+e
DOI: 10.1134/S1063785006050087