A great success of solid state physics comes from the characterization of crystal structures in
the reciprocal (wave vector) space. The power of structural characterization in Fourier space …

The recent discovery of non-classical crystal nucleation pathways has revealed the role of
fluctuations in the liquid structural order, not considered in classical nucleation theory. On …

Two or more liquid states may exist even for single-component substances, which is known
as liquid polymorphism, and the transition between them is called liquid–liquid transition …

The formation of condensed (compacted) protein phases is associated with a wide range of
human disorders, such as eye cataracts, amyotrophic lateral sclerosis, sickle cell anaemia …

Classical nucleation theory (CNT), which was established about 90 years ago, has been
very successful in many research fields, and continues to be the most commonly used theory …

“Non-classical” notions consider formation pathways of crystalline materials where larger
species than monomeric chemical constituents, ie, ions or single molecules, play crucial …

Some low-coordination materials, including water, silica, and silicon, exhibit polyamorphism,
having multiple amorphous forms. However, the microscopic mechanism and kinetic …

We review the recent research on supercooled and glassy water, focusing on the possible
origins of its complex behavior. We stress the central role played by the strong directionality …

It is believed that the slow liquid diffusion and geometric frustration brought by a rapid, deep
quench inhibit fast crystallization and promote vitrification. Here we report fast crystal growth …

Controlling a state of material between its crystalline and glassy phase has fostered many
real-world applications. Nevertheless, design rules for crystallization and vitrification kinetics …