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[[File:C14-MgZn2.jpg|thumb|Unit cell of Laves phase with MgZn<sub>2</sub> structure (Mg atoms are green).]]
[[File:LavesPolyhedron.png|thumb|Laves polyhedron]]
'''Laves phases''' are [[intermetallic]] [[phase (matter)|phases]] that have composition AB<sub>2</sub> and are named for [[Fritz Laves]] who first described them.  The phases are classified on the basis of geometry alone. There are three different classification classes: [[cube|cubic]] MgCu<sub>2</sub> (C15), [[hexagonal]] MgZn<sub>2</sub> (C14), and hexagonal MgNi<sub>2</sub> (C36). The latter two classes are unique forms of the hexagonal arrangement, but share the same basic structure. In general, the A atoms are ordered as in diamond, hexagonal diamond, or a related structure, and the B atoms form [[tetrahedra]] around the A atoms for the AB<sub>2</sub> structure.<ref>[http://cst-www.nrl.navy.mil/lattice/struk/laves.html The Laves Phase Structures]. nrl.navy.mil. Accessed on 2009-2-26.</ref> Laves phases are of particular interest in modern metallurgy research because of their abnormal physical and chemical properties. Many hypothetical or primitive applications have been developed. However, little practical knowledge has been elucidated from Laves phase study so far.
A characteristic feature is the almost perfect electrical conductivity, but they are not plastically deformable at room temperature.
 
In each of the three classes of Laves phase, if the two types of atom were perfect spheres with a size ratio of <math>\sqrt{3/2} \approx 1.225</math>,<ref name=Hyninnen /> the structure would be topologically tetrahedrally close-packed.<ref name=Zhu>{{cite doi|10.1007/s11661-999-0292-5}}</ref> At this size ratio, the structure has an overall packing volume density of 0.710<ref>{{cite doi|10.1080/01418618008239380}}</ref> Compounds found in Laves phases typically have an atomic size ratio between 1.05 and 1.67.<ref name=Zhu/> Analogues of Laves phases can be formed by the self assembly of a colloidal dispersion of two sizes of sphere.<ref name=Hyninnen>{{cite doi|10.1038/nmat1841}}</ref>
 
==References==
{{Reflist}}
 
[[Category:Intermetallics]]

Revision as of 23:10, 3 January 2014

Unit cell of Laves phase with MgZn2 structure (Mg atoms are green).
Laves polyhedron

Laves phases are intermetallic phases that have composition AB2 and are named for Fritz Laves who first described them. The phases are classified on the basis of geometry alone. There are three different classification classes: cubic MgCu2 (C15), hexagonal MgZn2 (C14), and hexagonal MgNi2 (C36). The latter two classes are unique forms of the hexagonal arrangement, but share the same basic structure. In general, the A atoms are ordered as in diamond, hexagonal diamond, or a related structure, and the B atoms form tetrahedra around the A atoms for the AB2 structure.[1] Laves phases are of particular interest in modern metallurgy research because of their abnormal physical and chemical properties. Many hypothetical or primitive applications have been developed. However, little practical knowledge has been elucidated from Laves phase study so far. A characteristic feature is the almost perfect electrical conductivity, but they are not plastically deformable at room temperature.

In each of the three classes of Laves phase, if the two types of atom were perfect spheres with a size ratio of ,[2] the structure would be topologically tetrahedrally close-packed.[3] At this size ratio, the structure has an overall packing volume density of 0.710[4] Compounds found in Laves phases typically have an atomic size ratio between 1.05 and 1.67.[3] Analogues of Laves phases can be formed by the self assembly of a colloidal dispersion of two sizes of sphere.[2]

References

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