Acta Crystallographica Section A

Foundations of Crystallography

Volume 57, Part 3 (May 2001)



[Issue Author Index][Volume Author Index]
[Cover illustration] Cover illustration: Graphical representation of density modification due to third-order terms b113 = -b223 (point group \bar{4}) in the Gram-Charlier series expansion of a Gaussian atomic probability density function. Courtesy of W. F. Kuhs.

research papers


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Acta Cryst. (2001). A57, 219-230  [ doi:10.1107/S0108767300014896 ]

Distinction between space groups having principal rotation and screw axes, which are combined with twofold rotation axes, using the coherent convergent-beam electron diffraction method

K. Saitoh, K. Tsuda, M. Terauchi and M. Tanaka

Synopsis: The new space-group-distinction method using the coherent convergent-beam electron diffraction (CBED) method is extensively applied to another ten space-group sets having principal rotation and screw axes, which are combined with other 2-fold-rotation axes.

Online 27 April 2001


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Acta Cryst. (2001). A57, 231-239  [ doi:10.1107/S0108767300015786 ]

Statistical dynamical direct methods. II. The three-phase structure invariant

F. N. Chukhovskii, J. J. Hu and L. D. Marks

Synopsis: The triplet distribution used for kinematical diffraction is extended to the complex case appropriate for dynamical transmission electron diffraction. It is demonstrated that this gives good results if the distributions are handled statistically rather than relying upon single triplet relationships.

Online 27 April 2001


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Acta Cryst. (2001). A57, 240-243  [ doi:10.1107/S010876730001610X ]

Improvement of SAS triple invariant estimates for macromolecular direct-methods phasing

D. A. Langs, R. H. Blessing and D. Guo

Synopsis: The initial ab initio single-wavelength anomalous dispersion (SAS) triples invariant estimates from Hauptman's formula may be improved through quadrupole analysis.

Online 27 April 2001


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Acta Cryst. (2001). A57, 244-255  [ doi:10.1107/S0108767300016822 ]

Diffuse X-ray scattering and strain effects in disordered crystals

T. R. Welberry

Synopsis: It is shown that a feature that has been observed in the diffuse scattering patterns of a wide variety of different materials - a diffuse `ring' or `doughnut'-shaped region of scattering - can be understood in terms of a simple model that has been borrowed from the field of sol-gel science. In this it is supposed that there is a balance between the local attractive forces that are trying to make a particular structure and a rather longer range repulsive force that results from the strain that builds up in the lattice.

Online 27 April 2001


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Acta Cryst. (2001). A57, 256-263  [ doi:10.1107/S0108767300017347 ]

Notes on the normalizer of a finite subgroup of GL(n,d,{\bb Z}) in GL(n,d,{\bb Z})

P. Zeiner and T. Janssen

Synopsis: A finite algorithm for calculating a finite set of generators for the normalizer of a finite subgroup G of GL(n,d,{\bb Z}) in GL(n,d,{\bb Z}) is presented.

Online 27 April 2001


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Acta Cryst. (2001). A57, 264-271  [ doi:10.1107/S0108767300017955 ]

Interatomic potential parameters for potassium tetrachlorozincate and their application to modelling its phase transformations

E. S. Ferrari, K. J. Roberts, G. B. Thomson, J. D. Gale and C. R. A. Catlow

Synopsis: Interatomic potential parameters obtained via empirical fitting for potassium tetrachlorozincate were found to reliably model the known crystallographic structures for the ferroelectric and paraelectric phases of the compound.

Online 27 April 2001


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Acta Cryst. (2001). A57, 272-282  [ doi:10.1107/S0108767300018547 ]

Density-optimized radial exponents for X-ray charge-density refinement from ab initio crystal calculations

A. Volkov, Y. A. Abramov and P. Coppens

Synopsis: Structure factors based on periodic density-functional calculations on 25 molecular crystals have been used to evaluate trends in refined values of the [kappa] and [kappa]' expansion-contraction parameters of the Hansen-Coppens multipole formalism. Average values for oxygen and carbon in different bonding environments are tabulated. Values for nitrogen appear more dependent on the details of the bonding to this atom.

Online 27 April 2001


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Acta Cryst. (2001). A57, 283-289  [ doi:10.1107/S0108767300018584 ]

Interference of parametric X-ray and coherent Bremsstrahlung radiation from nonrelativistic electrons: application to the phase analysis in crystallography

I. D. Feranchuk and A. Ulyanenkov

Synopsis: A comprehensive theoretical description is presented along with numerical examples and discussion of a possible scheme of experiment for a new approach to the solution of the phase problem within a limited range of reciprocal-lattice vectors. The proposed approach can effectively supplement other phase-sensitive methods of crystal structure studies.

Online 27 April 2001


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Acta Cryst. (2001). A57, 290-303  [ doi:10.1107/S0108767300018626 ]

Recovering experimental and theoretical electron densities in corundum using the multipolar model: IUCr Multipole Refinement Project

S. Pillet, M. Souhassou, C. Lecomte, K. Schwarz, P. Blaha, M. Rérat, A. Lichanot and P. Roversi

Synopsis: In the case of corundum ([alpha]-Al2O3), successes and pitfalls of multipolar models are described by comparison of charge-density results obtained from refinement against eight experimental and theoretical sets of moduli of structure factors.

Online 27 April 2001


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Acta Cryst. (2001). A57, 304-310  [ doi:10.1107/S0108767300018857 ]

Symmetry of single-wall nanotubes

M. Damnjanovic, T. Vukovic, I. Milosevic and B. Nikolic

Synopsis: A review of the symmetry groups of the various single-wall nano- and microtubes considered in the literature (BN, GaN, MS2, C, BC3, BC2N) is presented.

Online 27 April 2001


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Acta Cryst. (2001). A57, 311-320  [ doi:10.1107/S0108767300018973 ]

The application of Hermann's group \cal M in group-subgroup relations between space groups

H. Wondratschek and M. I. Aroyo

Synopsis: Sub- and supergroups of space groups are important tools for the prediction and investigation of continuous phase transitions. A new method is presented which facilitates the search for sub- and particularly supergroups of space groups. A new kind of phase transition is discussed.

Online 27 April 2001


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Acta Cryst. (2001). A57, 321-332  [ doi:10.1107/S0108767300019577 ]

Location of Zn within the Mg12(LaxCe1-x) lattice by X-ray incoherent channelling patterns

C. J. Rossouw, C. J. Bettles, T. J. Davis, C. T. Forwood, P. R. Miller and K. Venkatesan

Synopsis: Contrast in X-ray emission patterns as a function of crystal orientation is used to identify a sublattice site in Mg12X (X  =  La, Ce) occupied by 1  at.%  Zn. Correlation with theory is necessary since no other atomic species occupies this sublattice site exclusively.

Online 27 April 2001


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Acta Cryst. (2001). A57, 333-340  [ doi:10.1107/S0108767300019917 ]

Quasiperiodicity in decagonal phases forced by inclined net planes?

W. Steurer and A. Cervellino

Synopsis: Net planes linking periodic and quasiperiodic directions in decagonal Al-Co-Ni have been studied. They may play a crucial role in growth and stabilization of decagonal quasicrystals.

Online 27 April 2001


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Acta Cryst. (2001). A57, 341-350  [ doi:10.1107/S0108767301000095 ]

Phase determination via Sayre-type equations with anomalous-scattering data

J. Roach, P. Retailleau and C. W. Carter

Synopsis: The phase-determination capabilities of convolutional structure-factor equations are investigated on complex-valued electron densities. The new equations provide quite accurate extrapolated phases for real macromolecular problems and reveal underlying problems associated with the use of convolutional structure-factor equations in refinement in general.

Online 27 April 2001


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Acta Cryst. (2001). A57, 351-358  [ doi:10.1107/S0108767301000496 ]

An evolutionary computational approach to the phase problem in macromolecular X-ray crystallography

G. Webster and R. Hilgenfeld

Synopsis: The efficiency and inherent parallelism of evolutionary computational search methods make them potentially powerful tools for overcoming the phase problem in X-ray crystallography. The ability of such algorithms to extract structural information from scalar diffraction amplitudes is demonstrated by the ab initio computation of the molecular envelopes of two proteins from their corresponding diffraction data.

Online 27 April 2001


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Acta Cryst. (2001). A57, 359-367  [ doi:10.1107/S0108767301001325 ]

Polarization-resolved output analysis of X-ray multiple-wave interaction

Yu. P. Stetsko, H. J. Juretschke, Y.-S. Huang, Y.-R. Lee, T.-C. Lin and S.-L. Chang

Synopsis: The polarization suppression of the interfering components in X-ray multiple-wave interaction is observed for the first time by using a polarization analyzer with an arbitrary inclination of the diffraction plane with respect to that of the investigated crystal. The proposed experimental polarization-resolved technique provides an operational way to enhance the visibility of X-ray multiple-wave interaction outside the investigated crystals for direct phase determination.

Online 27 April 2001


book reviews


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Acta Cryst. (2001). A57, 368  [ doi:10.1107/S0108767301005906 ]

Crystal structure determination

Online 27 April 2001


books received


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Acta Cryst. (2001). A57, 368  [ doi:10.1107/S0108767301001313 ]

Modern crystallography Vol. 2. Structure of crystals.

Online 27 April 2001


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Acta Cryst. (2001). A57, 368  [ doi:10.1107/S0108767301005074 ]

Synchrotron radiation (Production and properties)

Online 27 April 2001


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