Publication detail

Multiple wave scattering on a bordered crystal. Translation symmetry breaking and forbidden reflections

DUB, P. LITZMAN, O.

Czech title

Vícenásobný rozptyl vln na orhaničeném krystalu. Porušení translační symetrie a zakázané odrazy.

English title

Multiple wave scattering on a bordered crystal. Translation symmetry breaking and forbidden reflections

Type

journal article - other

Language

en

Original abstract

The interaction of a scalar wave (thermal neutrons) with a single Si crystal is treated using Ewald's self-consistent field method. Considering from the very beginning the two-dimensional translation symmetry of the problem, the reflectivities of allowed and forbidden reflections in the Bragg geometry valid for both coplanar and non-coplanar cases are derived. It is shown that there exists a very narrow reflectivity peak of the forbidden reflection as a result of the symmetry breaking due to a crystal surface.

Czech abstract

Článek se zabývá vícenásobným rozptylem vln na orhaničeném krystalu. Je ukázáno, že v důsledku porušení translační symetrie existuje ostrý pík v odrazivosti i v případě zakázaných odrazů na krystlech.

English abstract

The interaction of a scalar wave (thermal neutrons) with a single Si crystal is treated using Ewald's self-consistent field method. Considering from the very beginning the two-dimensional translation symmetry of the problem, the reflectivities of allowed and forbidden reflections in the Bragg geometry valid for both coplanar and non-coplanar cases are derived. It is shown that there exists a very narrow reflectivity peak of the forbidden reflection as a result of the symmetry breaking due to a crystal surface.

Keywords in Czech

Dynamická teorie difrakce; zakázané odrazy

Keywords in English

dynamical diffraction theory; forbidden reflections.

RIV year

2012

Released

31.05.2012

ISSN

0108-7673

Volume

68

Number

4

Pages from–to

494–504

Pages count

11

BIBTEX


@article{BUT91972,
  author="Petr {Dub} and Otto {Litzman},
  title="Multiple wave scattering on a bordered crystal. Translation symmetry breaking and forbidden reflections",
  year="2012",
  volume="68",
  number="4",
  month="May",
  pages="494--504",
  issn="0108-7673"
}