Publication detail

A note on the problem of scattering from a single atomic plane and a stack of planes. Differences between the Ewald and other diffraction theories

DUB, P. LITZMAN, O.

Czech title

Poznámka k problému rozptylu na jedné atomární rovině a soustavě rovin. Rozdíl mezi Ewaldovou a jinými difrakčními teoriemi.

English title

A note on the problem of scattering from a single atomic plane and a stack of planes. Differences between the Ewald and other diffraction theories

Type

journal article - other

Language

en

Original abstract

The scattering of a scalar plane wave (neutrons)from a single atomic plane consisting of any two-dimensional lattice with a basis is studied using the Ewald dynamical theory of diffraction. Formulae for the reflection and transmission coefficients obtained by evaluating the optical plane lattice sums are valid for general geometries, including nonsymmetrical and noncoplanar diffractions. The approach adopted is different from and more general than that by Yashiro&Takahashi [Acta Cryst. (2000), A56, 1663-1670]. The structure factor yielded by this procedure differs from that used in the kinematical or Laue dynamical diffraction theories.

Czech abstract

Poznámka k problému rozptylu na jedné atomární rovině a soustavě rovin. Rozdíl mezi Ewaldovou a jinými difrakčními teoriemi.

English abstract

The scattering of a scalar plane wave (neutrons)from a single atomic plane consisting of any two-dimensional lattice with a basis is studied using the Ewald dynamical theory of diffraction. Formulae for the reflection and transmission coefficients obtained by evaluating the optical plane lattice sums are valid for general geometries, including nonsymmetrical and noncoplanar diffractions. The approach adopted is different from and more general than that by Yashiro&Takahashi [Acta Cryst. (2000), A56, 1663-1670]. The structure factor yielded by this procedure differs from that used in the kinematical or Laue dynamical diffraction theories.

Keywords in English

theory of diffraction, scattering of waves

RIV year

2004

Released

01.01.2001

ISSN

0108-7673

Journal

Acta Crystallographica

Volume

57

Number

3

Pages count

5

BIBTEX


@article{BUT39993,
  author="Petr {Dub} and Otto {Litzman},
  title="A note on the problem of scattering from a single atomic plane and a stack of planes. Differences between the Ewald and other diffraction theories",
  journal="Acta Crystallographica",
  year="2001",
  volume="57",
  number="3",
  month="January",
  issn="0108-7673"
}