Antisymmetry: Fundamentals and Applications

Hari Padmanabhan, Jason M. Munro, Ismaila Dabo, Venkatraman Gopalan

Research output: Chapter in Book/Report/Conference proceedingChapter

6 Scopus citations


Symmetry is fundamental to understanding our physical world. An antisymmetry operation switches between two different states of a trait, such as two time states, position states, charge states, spin states, or chemical species. This review covers the fundamental concepts of antisymmetry and focuses on four antisymmetries, namely, spatial inversion in point groups, time reversal, distortion reversal, and wedge reversion. The distinction between classical and quantum mechanical descriptions of time reversal is presented. Applications of these antisymmetriesmdashin crystallography, diffraction, determining the form of property tensors, classifying distortion pathways in transition state theory, finding minimum energy pathways, diffusion, magnetic structures and properties, ferroelectric and multiferroic switching, classifying physical properties in arbitrary dimensions, and antisymmetry-protected topological phenomenamdashare described.

Original languageEnglish (US)
Title of host publicationAnnual Review of Materials Research
PublisherAnnual Reviews Inc.
Number of pages27
StatePublished - Jul 1 2020

Publication series

NameAnnual Review of Materials Research
ISSN (Print)1531-7331

All Science Journal Classification (ASJC) codes

  • General Materials Science


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