The irregular habits of crystals

Quasicrystal structure

Source: © Eric Heller/Science Photo Library

Centuries of study have refined theories of how substances with periodically ordered structures behave. Anna Demming talks to the researchers exploring where these theories can apply in materials that are not ordered periodically, or even ordered at all

‘Defects’ are the main bugbear in the amorphous materials used as dielectrics in microelectronics – an industry that gives these materials a sharply rising global market value of $66 billion (£51 billion) as estimated in 2023. Yet to what extent these ‘defects’ actually resemble the crystal features from which they get their name remains a point of debate. In the literature on crystals, a ‘defect’ is any feature that breaks the regular order of the repeating crystal lattice – from sites on the crystal lattice with different chemical species swapped in, to sites where atoms are absent altogether. However, amorphous materials have no long-range repeating periodicity.

These gaps in our understanding of amorphous dielectric materials have persisted despite assiduous research over the past 50-year boom in the semiconductor industry. The theory of amorphous dielectrics borrows a lot from the physics of crystals with little clarity as to how valid these ideas may be when where there is no long-range order. And they are not the only materials where concepts from crystallography are applied even though the arrangement of atoms does not follow the periodic order of a regular crystal. Quasicrystals are now not only widely accepted among the scientific community, but accepted as ‘crystals’ thanks to a redefinition of the term by the International Union of Crystallography in 1992.