issue contents

Journal logoFOUNDATIONS
ADVANCES
ISSN: 2053-2733

November 2026 issue

Early view articles

Journal cover

advances

research papers


link to html
This work establishes the role of absorption in 3D electron diffraction dynamical refinement, where its inclusion is shown to significantly affect refinement outcomes only in high-Z materials at thicknesses approaching ξg.

link to html
The first reconstruction of an experimental one-particle reduced Wigner function for electrons in molecular crystals is reported. It relies on an ensemble N-representable model jointly refined from the X-ray diffraction and Compton scattering data.

foundations

research papers


link to html
We study the dynamics and entropy of dynamical systems arising from two-dimensional random substitutions, exhibiting both local disorder and global order, as shown by positive topological entropy and the presence of non-trivial pure-point components in the diffraction spectrum.

link to html
We investigate the spectral properties of two distinct classes of two-dimensional random substitutions: a family of constant-shape block random substitutions and the random Fibonacci direct product variation, which is a nonconstant-shape but geometrically compatible random inflation rule.

link to html
The stability factors of ice bilayers with different arrangements of hydrogen atoms in hydrogen bonds are established. A topological condition for the assembly of bilayers from individual fragments is proposed. Methods for producing bilayers and the main challenges are described.

book reviews