A correction procedure for the errors in single-crystal intensities due to the inhomogeneity of the primary X-ray beam

Sybolt Harkema, J. Dam, G.J. van Hummel, A.J. Reuvers

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Abstract

Graphite monochromators are known to give rise to non-homogeneous primary X-ray beams. When intensities of single crystals are measured the effective cross section of a non-spherical crystal in the X-ray beam depends on its orientation in the beam. Therefore, systematic errors in the measured integrated intensities are introduced by the inhomogeneity of the incoming beam. A correction for these errors can be made, knowing the intensity profile of the primary beam and the dimensions and orientation of the crystal in the beam. The correction can conveniently be applied with the absorption correction. Examples of the corrections are given for crystals with rational boundary planes. It is shown that the intensity of an X-ray reflection as a function of the rotation about the scattering vector ( rotation) can be calculated with fair accuracy. In some cases (large elongated crystals in an inhomogeneous beam) correction for absorption only may give results which are worse than those with no correction at all.
Original languageUndefined
Pages (from-to)433-435
JournalActa crystallographica Section A: Crystal physics, diffraction, theoretical and general crystallography
Volume36
Issue number3
DOIs
Publication statusPublished - 1980

Keywords

  • IR-59205

Cite this

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title = "A correction procedure for the errors in single-crystal intensities due to the inhomogeneity of the primary X-ray beam",
abstract = "Graphite monochromators are known to give rise to non-homogeneous primary X-ray beams. When intensities of single crystals are measured the effective cross section of a non-spherical crystal in the X-ray beam depends on its orientation in the beam. Therefore, systematic errors in the measured integrated intensities are introduced by the inhomogeneity of the incoming beam. A correction for these errors can be made, knowing the intensity profile of the primary beam and the dimensions and orientation of the crystal in the beam. The correction can conveniently be applied with the absorption correction. Examples of the corrections are given for crystals with rational boundary planes. It is shown that the intensity of an X-ray reflection as a function of the rotation about the scattering vector ( rotation) can be calculated with fair accuracy. In some cases (large elongated crystals in an inhomogeneous beam) correction for absorption only may give results which are worse than those with no correction at all.",
keywords = "IR-59205",
author = "Sybolt Harkema and J. Dam and {van Hummel}, G.J. and A.J. Reuvers",
year = "1980",
doi = "10.1107/S0567739480000939",
language = "Undefined",
volume = "36",
pages = "433--435",
journal = "Acta crystallographica Section A: Foundations of crystallography",
issn = "0108-7673",
publisher = "Wiley-Blackwell",
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A correction procedure for the errors in single-crystal intensities due to the inhomogeneity of the primary X-ray beam. / Harkema, Sybolt; Dam, J.; van Hummel, G.J.; Reuvers, A.J.

In: Acta crystallographica Section A: Crystal physics, diffraction, theoretical and general crystallography, Vol. 36, No. 3, 1980, p. 433-435.

Research output: Contribution to journalArticleAcademic

TY - JOUR

T1 - A correction procedure for the errors in single-crystal intensities due to the inhomogeneity of the primary X-ray beam

AU - Harkema, Sybolt

AU - Dam, J.

AU - van Hummel, G.J.

AU - Reuvers, A.J.

PY - 1980

Y1 - 1980

N2 - Graphite monochromators are known to give rise to non-homogeneous primary X-ray beams. When intensities of single crystals are measured the effective cross section of a non-spherical crystal in the X-ray beam depends on its orientation in the beam. Therefore, systematic errors in the measured integrated intensities are introduced by the inhomogeneity of the incoming beam. A correction for these errors can be made, knowing the intensity profile of the primary beam and the dimensions and orientation of the crystal in the beam. The correction can conveniently be applied with the absorption correction. Examples of the corrections are given for crystals with rational boundary planes. It is shown that the intensity of an X-ray reflection as a function of the rotation about the scattering vector ( rotation) can be calculated with fair accuracy. In some cases (large elongated crystals in an inhomogeneous beam) correction for absorption only may give results which are worse than those with no correction at all.

AB - Graphite monochromators are known to give rise to non-homogeneous primary X-ray beams. When intensities of single crystals are measured the effective cross section of a non-spherical crystal in the X-ray beam depends on its orientation in the beam. Therefore, systematic errors in the measured integrated intensities are introduced by the inhomogeneity of the incoming beam. A correction for these errors can be made, knowing the intensity profile of the primary beam and the dimensions and orientation of the crystal in the beam. The correction can conveniently be applied with the absorption correction. Examples of the corrections are given for crystals with rational boundary planes. It is shown that the intensity of an X-ray reflection as a function of the rotation about the scattering vector ( rotation) can be calculated with fair accuracy. In some cases (large elongated crystals in an inhomogeneous beam) correction for absorption only may give results which are worse than those with no correction at all.

KW - IR-59205

U2 - 10.1107/S0567739480000939

DO - 10.1107/S0567739480000939

M3 - Article

VL - 36

SP - 433

EP - 435

JO - Acta crystallographica Section A: Foundations of crystallography

JF - Acta crystallographica Section A: Foundations of crystallography

SN - 0108-7673

IS - 3

ER -