Symmetries and symmetry-generated averages of elastic constants up to the sixth order of nonlinearity for all crystal classes, isotropy and transverse isotropy

Relationships between high-order nonlinear stiffness constants for all elastic symmetries are derived, together with expressions for averaging the constants of general anisotropy by any of the symmetries.

Influence of device configuration and noise on a machine learning predictor for the selection of nanoparticle small-angle X-ray scattering models

This paper presents an enhanced model selection method for nanoparticle characterization via SAXS, improving prediction robustness across diverse instrumental configurations and varying noise levels, while optimizing data acquisition time on laboratory instrumentation.

An alternative method to the Takagi–Taupin equations for studying dark-field X-ray microscopy of deformed crystals

An alternative method to the Takagi–Taupin equations is developed. It uses an accurate dispersion relation and is capable of calculating both dynamical and kinematic diffraction.

Structure of face-centred icosahedral quasicrystals with cluster close packing

Using higher-dimensional crystallography, a new 6D structure model is proposed for F-type icosahedral quasicrystals with cluster close packing.

Lattice symmetry relaxation as a cause for anisotropic line broadening and peak shift in powder diffraction

The two essential observables in powder diffraction are peak intensity and position. While the structure factor is a smooth function of the structure and changes little with desymmetrization, peak positions are more akin to delta functions and are extremely sensitive even to a small desymmetrization. It is shown that lattice relaxation causes line broadening, asymmetry and displacement which are important in the context of correct interpretation of observed powder diffraction patterns.

Stability of inorganic ionic structures: the uniformity approach

Based on the analysis of the uniformity of ionic sublattices in 21465 inorganic compounds, a set of numerical criteria is proposed for the estimation of the stability of ionic crystal structures.

On the principle of reciprocity in inelastic electron scattering

This article examines the principle of reciprocity in inelastic scattering using entropy-based criteria.

Periodic diffraction from an aperiodic monohedral tiling – the Spectre tiling. Addendum

The diffraction pattern of the aperiodic chiral Spectre monotiling is described. Unlike that for the aperiodic Hat tiling, the diffraction pattern of the Spectre tiling is non-periodic.

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