Three-dimensional single-particle imaging using angular correlations from X-ray laser data

Ab initio model reconstruction from fluctuation X-ray scattering data is described.

Incommensurate crystallography without additional dimensions

By using Lie group theory, the symmetry of displacively modulated structures may be described in the usual three-dimensional space. Moreover, when calculating the Fourier transform of such crystals, the structure factor may be clearly exhibited without requiring additional dimensions.

Tabulation of irreducible representations of the crystallographic space groups and their superspace extensions

A tabulation of complete irreducible representations at all k points of three-dimensional crystallographic space groups and their extensions to (3 + d)-dimensional superspace groups is presented.

Application of δ recycling to electron automated diffraction tomography data from inorganic crystalline nanovolumes

The tolerance of δ recycling phases to missing data-collection corrections and to deviations from kinematical behaviour of electron ADT intensities is analysed in detail. It has been found that Wilson-plot scaling is largely insensitive to sample thickness variations and missing absorption corrections.

A new interpretation of the σ_A parameter

A new statistical interpretation of the σ_A parameter is provided.

Inferring planar disorder in close-packed structures via ∊-machine spectral reconstruction theory: examples from simulated diffraction patterns

∊-Machine spectral reconstruction theory, a method for finding planar disorder in close-packed structures, is applied to four simulated diffraction patterns.

Digital electron diffraction – seeing the whole picture

Computer control of beam tilt and image capture allows the collection of electron diffraction patterns over a large angular range, without any overlap in diffraction data and from a region limited only by the size of the electron beam. This results in a significant improvement in data volumes and ease of interpretation.

Symmetry group of two special types of carbon nanotori

The symmetry group of two special types of carbon nanotori is studied using a group-theoretical result.

Nonequivalent periodic subsets of the lattice

A technique to calculate the number of nonequivalent subsets of a lattice subject to periodic boundary conditions is presented.

On subgroups of crystallographic Coxeter groups

A method is presented that will facilitate the determination of the subgroup structure of crystallographic Coxeter groups, including determining torsion-free subgroups.

Primo Levi, William Henry Bragg and the atomic theory of matter

Sir W. H. Bragg was an outstanding teacher capable of exciting the minds of intelligent young people and addressing them to science in general and chemistry in particular. Both Primo Levi, a well known Italian writer, and Dorothy Hodgkin, Nobel laureate for her pioneering work in crystallography, decided that they would become chemists after reading, at the age of sixteen, Bragg's book Concerning the Nature of Things.

Crystallography – An Introduction