Acta Crystallographica Section A

Foundations of Crystallography

Volume 54, Part 2 (March 1998)


Cover illustration Cover illustration: Power spectrum of a high-resolution electron-microscopy image of NiAl <110>. The image calculation includes a realistic phonon spectrum by coupling the `molecular dynamics' and `multislice' simulation techniques. The diffuse background, satellite peaks and bands mirror the effect of thermal diffuse scattering and correlated atom vibrations. Courtesy of G. Möbus, T. Gemming and P. Gumbsch.

research papers



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Acta Cryst. (1998). A54, 147-157    [doi:10.1107/S0108767397010969]

High-Precision Measurement of Temperature Factors for NiAl by Convergent-Beam Electron Diffraction

W. Nüchter, A. L. Weickenmeier and J. Mayer

Synopsis: Energy-filtered convergent-beam electron diffraction is applied to measure the temperature factors of the intermetallic phase NiAl with high accuracy. A detailed error analysis is given, stochastic and systematic errors are discussed and quantified.



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Acta Cryst. (1998). A54, 158-162    [doi:10.1107/S0108767397011604]

Resonant Scattering Tensors in Spherical and Cubic Symmetries

D. H. Templeton

Synopsis: Equations derived from tensors of third and fourth rank describe how f' and f'' depend on polarization, azimuth and Bragg angle for atoms with high symmetry.



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Acta Cryst. (1998). A54, 163-171    [doi:10.1107/S0108767397011860]

Study of Structural Imperfections in Natural Type I Diamonds by High-Resolution X-ray Diffraction Techniques

R. R. Ramanan, S. N. N. Goswami and K. Lal

Synopsis: By employing high-resolution X-ray diffraction techniques, crystalline perfection has been evaluated and point defect clusters in type Ia natural diamonds have been characterized. Defect parameters have been correlated with nitrogen content.



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Acta Cryst. (1998). A54, 172-185    [doi:10.1107/S010876739701252X]

Primary Extinction in Cylinders and Spheres

G. Thorkildsen and H. B. Larsen

Synopsis: The Takagi-Taupin equations are written in a representation using angular coordinates. By applying the boundary-value Green-function technique in the solution of the equations, analytical results are obtained for the primary extinction factors.



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Acta Cryst. (1998). A54, 186-190    [doi:10.1107/S0108767397012531]

Absorption and Weighted Path Lengths in Cylinders and Spheres

G. Thorkildsen and H. B. Larsen

Synopsis: New analytical results for the absorption factor and the weighted path length are obtained using a surface integration technique.



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Acta Cryst. (1998). A54, 191-198    [doi:10.1107/S0108767397012579]

Primary Extinction and Absorption: a Theoretical Approach Based on the Takagi-Taupin Equations. Application to Spherical Crystals

F. N. Chukhovskii, A. Hupe, E. Rossmanith and H. Schmidt

Synopsis: A quantitative model of both primary extinction and absorption based on the Becker-Coppens procedure for solving the dynamical Takagi-Taupin equations is proposed that results in improved agreement between theory and X-ray diffraction experiments for Si and Ge single spherical crystals.



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Acta Cryst. (1998). A54, 199-202    [doi:10.1107/S0108767397012580]

Generation of Quasiperiodic Structures by Amassment Centres in Multilattices

R. Bartusch and U. Schmidt

Synopsis: A rounding operation allows the conversion of point amassments in multilattices into single points of perfect quasicrystalline structures.



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Acta Cryst. (1998). A54, 203-213    [doi:10.1107/S0108767397012610]

X-ray Standing Waves in Distorted Crystals

N. Kato

Synopsis: The internal and external X-ray standing waves (SW) formed by dynamical diffraction are theoretically discused in the case of weakly distorted crystals. Care is required in the application of SW methods because the location of SW is very sensitive to lattice distortions compared with rocking curves.



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Acta Cryst. (1998). A54, 214-218    [doi:10.1107/S0108767397012932]

The Equations of the Statistical Dynamical Theory of X-ray Diffraction for Deformed Crystals

K. M. Pavlov and V. I. Punegov

Synopsis: Using the statistical approach to dynamical X-ray diffraction, the equations for coherent and diffuse scattered waves in a general case of a deformed crystal are obtained.



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Acta Cryst. (1998). A54, 219-224    [doi:10.1107/S010876739701324X]

Scale Factor in Powder Diffraction

P. Riello, G. Fagherazzi and P. Canton

Synopsis: A new method to obtain the scale factor to transform powder intensities into electron units is proposed.



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Acta Cryst. (1998). A54, 225-231    [doi:10.1107/S0108767397013391]

Standard Uncertainty of Angular Positions and Statistical Quality of Step-Scan Intensity Data

C. Rebmann, H. Ritter and J. Ihringer

Synopsis: In step-scan diffraction measurements, the diffraction angle 2[theta] is an observation with standard uncertainty u(2[theta]). Theoretical and experimental investigation of the influence of u(2[theta]) on the uncertainty of the intensity data shows that u(2[theta]) usually contributes a multiple of Poisson statistics to the standard uncertainty of the intensity.



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Acta Cryst. (1998). A54, 232-239    [doi:10.1107/S0108767397015572]

On the Extendibility of X-ray Crystallography to Noncrystals

D. Sayre, H. N. Chapman and J. Miao

Synopsis: There is no fundamental reason why the basic techniques of X-ray crystal structure analysis cannot be applied to unrepeated and very large (i.e. teradalton) structures. The expected properties and current status of the technique involved are described.



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Acta Cryst. (1998). A54, 240-248    [doi:10.1107/S0108767397012373]

Fiber Diffraction Patterns for General Unit Cells: the Cylindrically Projected Reciprocal Lattice

V. L. Finkenstadt and R. P. Millane

Synopsis: General expressions are derived that describe the positions of reflections (the cylindrically projected reciprocal lattice) on a diffraction pattern from an oriented polycrystalline fiber for a triclinic unit cell with any orientation to the fiber axis. Calculations illustrate the characteristics of the projected reciprocal lattice.


short communications



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Acta Cryst. (1998). A54, 249-250    [doi:10.1107/S0108767397016693]

Spatial correlation functions of radially distributed quantities applied to small-angle scattering

Sz. Vass

Synopsis: Spatial auto- and cross-correlation functions of quantities distributed radially over spheres of different radii are presented in analytical form. In terms of its application to small-angle (neutron and X-ray) scattering, the distance distribution function is calculated for two-shell ionic micelles and for a spherical Gaussian contrast distribution.



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Acta Cryst. (1998). A54, 251    [doi:10.1107/S0108767397014943]

Comment on A universal treatment of X-ray and neutron diffraction in crystals. I. Theory by Hu (1997)

A. McL. Mathieson

Synopsis: The re-interpretation by Hu (1997) of the 1975 data of Mathieson is shown to be fallacious by reference to the subsequent experimental measurements by Mathieson in 1977.



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Acta Cryst. (1998). A54, 251-252    [doi:10.1107/S0108767398000567]

Response to Mathieson's (1998) comment on A universal treatment of X-ray and neutron diffraction in crystals. I. Theory

H.-C. Hu

Synopsis: There is an obvious difference between the behaviour of the dependence of the integrated reflection power ratio on the asymmetric parameter for plane crystals predicted by the H-D equations on mosaic crystals and that predicted by the theory of Hirsch & Ramachandran on perfect crystals. To get rid of the surface layer effect of the crystal sample is most important for the verification of such a difference by experiment.



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Acta Cryst. (1998). A54, 253    [doi:10.1107/S0108767397017388]

X-ray determination of Debye-Waller factors of NaBr and NaI

P. Geeta Krishna, K. G. Subhadra and D. B. Sirdeshmukh

Synopsis: The Debye-Waller factors of NaBr and NaI have been determined from X-ray intensities.



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Acta Cryst. (1998). A54, 254-256    [doi:10.1107/S0108767397018370]

Reflections with phase angle 0 or [pi] in noncentrosymmetric space groups

I.-H. Suh

Synopsis: Reflections with phase angle either 0 or [pi] in 157 noncentrosymmetric space groups are tabulated.


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