A theoretical study of elastic X-ray scattering

Robert F. Stewart, Dirk Feil

Research output: Contribution to journalArticleAcademic

22 Citations (Scopus)
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Abstract

Bragg X-ray scattering intensities are defined as scattering by the thermodynamic average electron-charge density. Purely elastic, kinematic X-ray scattering by a target in thermal equilibrium is always larger than Bragg scattering. At low temperatures, the elastic scattering becomes Bragg scattering. For large molecules, such as a crystal, at ordinary temperatures the elastic and Bragg scattering differ in a relative sense by O(N-1), where N is the number of vibrational degrees of freedom. For most practical cases the Bragg scattering is essentially the same as purely elastic scattering of X-rays.
Original languageUndefined
Pages (from-to)503-509
JournalActa crystallographica Section A: Crystal physics, diffraction, theoretical and general crystallography
Volume36
DOIs
Publication statusPublished - 1980

Keywords

  • IR-59204

Cite this

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abstract = "Bragg X-ray scattering intensities are defined as scattering by the thermodynamic average electron-charge density. Purely elastic, kinematic X-ray scattering by a target in thermal equilibrium is always larger than Bragg scattering. At low temperatures, the elastic scattering becomes Bragg scattering. For large molecules, such as a crystal, at ordinary temperatures the elastic and Bragg scattering differ in a relative sense by O(N-1), where N is the number of vibrational degrees of freedom. For most practical cases the Bragg scattering is essentially the same as purely elastic scattering of X-rays.",
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volume = "36",
pages = "503--509",
journal = "Acta crystallographica Section A: Foundations of crystallography",
issn = "0108-7673",
publisher = "Wiley-Blackwell",

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A theoretical study of elastic X-ray scattering. / Stewart, Robert F.; Feil, Dirk.

In: Acta crystallographica Section A: Crystal physics, diffraction, theoretical and general crystallography, Vol. 36, 1980, p. 503-509.

Research output: Contribution to journalArticleAcademic

TY - JOUR

T1 - A theoretical study of elastic X-ray scattering

AU - Stewart, Robert F.

AU - Feil, Dirk

PY - 1980

Y1 - 1980

N2 - Bragg X-ray scattering intensities are defined as scattering by the thermodynamic average electron-charge density. Purely elastic, kinematic X-ray scattering by a target in thermal equilibrium is always larger than Bragg scattering. At low temperatures, the elastic scattering becomes Bragg scattering. For large molecules, such as a crystal, at ordinary temperatures the elastic and Bragg scattering differ in a relative sense by O(N-1), where N is the number of vibrational degrees of freedom. For most practical cases the Bragg scattering is essentially the same as purely elastic scattering of X-rays.

AB - Bragg X-ray scattering intensities are defined as scattering by the thermodynamic average electron-charge density. Purely elastic, kinematic X-ray scattering by a target in thermal equilibrium is always larger than Bragg scattering. At low temperatures, the elastic scattering becomes Bragg scattering. For large molecules, such as a crystal, at ordinary temperatures the elastic and Bragg scattering differ in a relative sense by O(N-1), where N is the number of vibrational degrees of freedom. For most practical cases the Bragg scattering is essentially the same as purely elastic scattering of X-rays.

KW - IR-59204

U2 - 10.1107/S0567739480001155

DO - 10.1107/S0567739480001155

M3 - Article

VL - 36

SP - 503

EP - 509

JO - Acta crystallographica Section A: Foundations of crystallography

JF - Acta crystallographica Section A: Foundations of crystallography

SN - 0108-7673

ER -