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Concomitant Ordering and Symmetry Lowering

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William O. J. Boo and Daniell L. Mattern

Department of Chemistry and Biochemistry, University of Mississippi, University, MS 38677

J. Chem. Educ., 2008, 85 (5), p 710

DOI: 10.1021/ed085p710

Publication Date (Web): May 1, 2008

Abstract

Examples of concomitant ordering include magnetic ordering, Jahn–Teller cooperative ordering, electronic ordering, ionic ordering, and ordering of partially-filled sites. Concomitant ordering sets in when a crystal is cooled and always lowers the degree of symmetry of the crystal. Concomitant ordering concepts can also be productively applied to many molecules, ions, and clusters. As an educational aid, the 17 plane groups may be generated by imposing concomitant patterns on designs belonging to p4mm and p6mm, and ornamental designs may be created by applying concomitant patterns on the regular tilings.

Keywords (Audience):

Graduate Education / Research

Keywords (Domain):

Inorganic Chemistry

Keywords (Pedagogy):

Hands-On Learning / Manipulatives

Keywords (Subject):

Crystals / Crystallography

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Received: August 03, 2009

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Concomitant Ordering and Symmetry Lowering

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Prussian Blue: Artists' Pigment and Chemists' Sponge

Using "Blueprint Photography by the Cyanotype Process"

Computer Speed and Avogadro's Number

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