issue contents

Journal logoFOUNDATIONS
ADVANCES
ISSN: 2053-2733

November 2015 issue

Highlighted illustration

Cover illustration: Complex modeling feeds all available data sets and theoretical constraints into a global optimizer to produce a unique structure solution for a new material, see Juhás et al., p. 562. [Image reproduced from Billinge (2010), Physics, 3, 25.]

editorial


link to html
The field of crystallography, which has had a major impact on the sciences in the last 100 years, is continuing to expand scientific horizons as technical and conceptual boundaries are overcome. Structure–function–dynamics will become an integrated theme for many studies as will obtaining structures without the `benevolent tyranny' of crystals.

advances

research papers


foundations

research papers


link to html
In this paper a new construction of finite nested point sets with non-crystallographic symmetry is presented. This is based on the embedding of a non-crystallographic group G into the point group {\cal P} of a higher-dimensional lattice. The point sets are induced by the projection into a G-invariant subspace of orbits of lattice points under G-containing subgroups of {\cal P}. In the case of icosahedral symmetry, the point sets thus constructed provide structural constraints for the three-dimensional organization of viral capsids.

link to html
Tilings with a singular point are obtained by applying conformal maps on regular tilings of the Euclidean plane. The symmetries and color symmetries of these tilings are investigated.

link to html
New insights are provided into the uniqueness of the macromolecular crystallographic phase problem and its relationship to single particle imaging.

link to html
Entanglements of 3-periodic arrays of θ-graphs and regular two-dimensional honeycomb (hcb) nets are constructed from free tilings of the hyperbolic plane consisting of rare packings of regular trees mapped onto the P, D, G and H triply periodic minimal surfaces.

link to html
Based on the series expansion of the X-ray wavefield in eigenfunctions for solving a system of two linked integral equations, the grazing-incidence small-angle X-ray scattering from a random rough surface is considered.

addenda and errata


international union of crystallography


Follow Acta Cryst. A
Sign up for e-alerts
Follow Acta Cryst. on Twitter
Follow us on facebook
Sign up for RSS feeds