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Quasiperiodic Crystallography

Quasiperiodic crystallography refers to the study of structures that are ordered but not periodic, exhibiting a regular pattern that never repeats exactly, defying the conventional definition of a crystal.

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May 28, 2025

Definition

Quasiperiodic crystallography refers to the study of structures that are ordered but not periodic. These structures exhibit a regular pattern that never repeats exactly, defying the conventional definition of a crystal.

Etymology

The term "quasiperiodic" is derived from the prefix "quasi-" meaning "seemingly" or "almost," and "periodic," referring to a repeating pattern. "Crystallography" comes from the Greek words "krystallos" meaning "frozen" or "crystal," and "grapho," meaning "to write."

Example usage

'The discovery of quasiperiodic crystallography challenged the long-held belief that all crystals were periodic.'

Interesting fact

The discovery of quasiperiodic crystals earned Dan Shechtman the Nobel Prize in Chemistry in 2011 for fundamentally altering the understanding of crystal structures.
Nobel Prize Organization

Explanation and detail

Background

Quasiperiodic crystallography emerged from the groundbreaking discovery of quasicrystals, which possess an ordered atomic arrangement that does not repeat in a regular pattern. This was a revelation because it contradicted the classical definition of crystals.

Structure

Unlike traditional crystals, which have translational symmetry due to their repeating patterns, quasiperiodic crystals display a form of symmetry known as "forbidden symmetry," such as fivefold symmetry, which is not possible in periodic crystals.

Significance

This field has broadened the scope of materials science, offering new insights into the properties of matter and leading to the development of novel materials with unique properties, such as enhanced hardness or non-stick surfaces.

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