Forthcoming article in Acta Crystallographica Section A Foundations and Advances

High-resolution X-ray diffraction with no sample preparation
A novel, high-resolution X-ray diffraction (XRD) technique that provides completely non-destructive, high-quality XRD analyses of unprepared samples is demonstrated. The method shows great potential in the characterization of cultural heritage artefacts.

Three-dimensional single-cell imaging with X-ray waveguides in the holographic regime
Phase-contrast X-ray imaging of biological cells in two and three dimensions can be carried out with a low dose, based on free propagation and a setting of optimized wavefronts in cone-beam geometry. In order to reach the required contrast level, images have to be recorded in the holographic regime. The main result of this work is holographic recordings of a quality that is fully amenable to quantitative phase retrieval, beyond previous approximations. Different approaches to sample preparations, data recording and phase retrieval are compared.

Close-packed structure with finite range interaction: computational mechanics of layer pair interaction
Computational mechanics is used to solve the Ising next nearest neighbour model in the context of close-packed polytype analysis. The stacking arrangement is seen as an information processing system generating symbols. A general method for solving the stochastic matrix of the random Gibbs field is described and applied. The ∊-machine of the process is built which allows one to describe the system statistically. The occurrence of higher-order polytypes at the borders of the phase diagram is discussed.

Wavevector substar group in reciprocal-lattice space and its representation
This paper establishes a new conception of the wavevector substar group and its representation.

A first-prototype multi-determinant X-ray constrained wavefunction approach: the X-ray constrained extremely localized molecular orbital–valence bond method
In this study, a first-prototype multi-determinant X-ray constrained wavefunction approach is proposed. The new X-ray constrained wavefunction is written as a linear combination of pre-determined single Slater determinants constructed with extremely localized molecular orbitals. By exploiting experimental structure factors, the novel method enables one to extract resonance structure weights for molecules having a multi-reference character.

Creating Symmetry: the Artful Mathematics of Wallpaper Patterns. By Frank A. Farris. Princeton University Press, 2015. Pp. 248. Price GBP 27.95, USD 35.00 (hardcover). ISBN 9780691161730.

Hard-sphere displacive model of deformation twinning in hexagonal close-packed metals. Revisiting the case of the (56°, a) contraction twins in magnesium
A new crystallographic model is proposed for contraction twinning in magnesium.

Thermoelectric transport properties in magnetically ordered crystals
The forms of the tensors describing thermoelectric transport properties in magnetically ordered crystals are given for the 122 space-time point groups up to second order in an applied magnetic field.

Reduction of small-angle scattering profiles to finite sets of structural invariants
It is shown how small-angle scattering (SAS) data can be reduced to a set of invariant parameters used to reliably estimate structural moments beyond the radius of gyration, thereby rigorously expanding the actual set of model-free quantities one can extract from experimental SAS data. The pair distance distribution function is also entirely described by this invariant set and the Dmax parameter can be measured.

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