Atomic structure dictates the performance of all materials systems; the characteristic of
disordered materials is the significance of spatial and temporal fluctuations on composition …

This paper introduces persistent homology, which is a powerful tool to characterize the
shape of data using the mathematical concept of topology. We explain the fundamental idea …

The structure of disordered materials is still not well understood because of insufficient
experimental data. Indeed, diffraction patterns from disordered materials are very broad and …

The first sharp diffraction peak (FSDP) in the total structure factor has long been regarded as
a characteristic feature of medium-range order (MRO) in amorphous materials with a …

Metal–organic frameworks (MOFs) with nanoscale porosity have numerous potential
applications, for example, within catalysis, shock absorption, ion transportation, gas sorption …

Determining the degree and the spatial extent of structural order in liquids is a grand
challenge. Here, we are able to resolve the structural order in a model organic electrolyte of …

Glass structure remains puzzling to scientists, especially due to the challenges in
characterizing their structural order beyond the first coordination shell, ie, the so-called …

Deciphering the structure-property relations of densified oxide glasses is a problem of
longstanding interest. For example, it is important for understanding the fracture mechanism …

Glasses are typically isotropic, but permanent or transient anisotropy can be induced by
tensile strain. We use persistent homology (PH) analysis to explore the topological effects of …

Understanding the liquid structure provides information that is crucial to uncovering the
nature of the glass-liquid transition. We apply an aerodynamic levitation technique and high …