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Distinguishing isotropic and anisotropic signals for X-ray total scattering using machine learning
- Pages: 175-187
- First Published: 04 April 2025

Pair distribution function (PDF) analysis can provide important local structure insights; however, its application in thin films is limited to those on amorphous substrates. We report a novel data processing approach and program, IsoDAT2D, which demonstrates the feasibility of using unsupervised machine learning algorithms to access PDF data from thin films on single-crystal substrates.
The phase-seeding method for solving non-centrosymmetric crystal structures: a challenge for artificial intelligence
- Pages: 188-201
- First Published: 17 April 2025
Uncertainties of recalculated bond lengths, angles and polyhedral volumes as implemented in the Crystal Palace program for parametric crystal structure analysis
- Pages: 202-210
- First Published: 29 April 2025
Helical substructures of 4D constructions that determine the structure of α-helices
- Pages: 211-220
- First Published: 03 April 2025

The structure of the α-helix is determined by a helical substructure of the 4D tube polytope with the symmetry group ±[O×D20]; this substructure has a screw axis 40/11 with the angle of rotation of 99°. This polytope belongs to the family of tube polytopes with the starting groups ±1/2[O×C2n], which determine the screw axes of the α-helices included in superhelices.
Topological coordination numbers and coordination reciprocity from electron-density distributions
- Pages: 221-244
- First Published: 28 April 2025

An approach is presented to calculate topological coordination numbers (tCNs) obeying the principle of coordination reciprocity from solid angles subtended by the interatomic surfaces of electron density (QTAIM) atomic domains. The tCN approach characterizes a compound's coordination situation as a set of sub-coordination scenarios with associated weights, which is considered a suitable input for future AI applications on structure–property relationships.
short communications
A note on the relation of anisotropic peak broadening with lattice symmetry in powder diffraction
- Pages: 245-247
- First Published: 24 April 2025