The following articles are a selection of those recently accepted for publication in Acta Crystallographica Section A: Foundations and Advances.
Miniaturized beamsplitters realized by X-ray waveguides
Miniaturized X-ray beamsplitters based on lithographic waveguide channels have been fabricated and tested. Numerical simulations of beam propagation and splitting by finite difference calculations have been confirmed by near-field reconstructions from the measured far-field interference pattern, using the error reduction algorithm. The device enables novel nano-interferometric and off-axis holography applications.
How to name and order convex polyhedra
Suggested is a method to build a digital name of any convex polyhedron by using the adjacency matrix of its edge graph, and vice versa. Thus, the problem how to discern and order the overwhelming majority of combinatorially asymmetric (i.e. primitive triclinic) polyhedra is solved.
Indirect Fourier transform in the context of statistical inference
This article discusses the indirect Fourier transform in the context of complementary statistical inference frameworks in order to determine a solution objectively, which then allows one to automate model-free analysis of small-angle scattering data. Moreover, modern machine learning methods are used to obtain the most robust solution.
On representing rotations by Rodrigues parameters in non-orthonormal reference systems
Vectorial parameterizations of proper rotations in three-dimensional space are generalized so the parameters are directly linked to non-orthonormal bases of crystal lattices or to frames with redundant crystallographic axes.