Lattice:AlB2 - Revision history

KevinYager: /* Symmetry */

2014-10-14T15:45:58Z

‎Symmetry

2014-10-14T15:36:38Z

‎Atomic

2014-10-14T15:35:43Z

‎Atomic

2014-10-14T15:33:22Z

‎Symmetry

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‎Examples

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‎Particle B: inner

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‎Particle B: inner

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‎Atomic

2014-10-14T14:32:08Z

‎Nano

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‎Nano

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 ** 'inner' particles: <math>2</math>
 ** 'corner' particles: <math>1</math>
 * Dimensionality: <math>d=3</math>

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 * [http://en.wikipedia.org/wiki/Aluminium_diboride Aluminium diboride (AlB<sub>2</sub>)] (''a'' = ''b'' = 3.0062 Å, ''c'' = 3.2548, ''c''/''a'' = 1.0827)
 ** [http://dx.doi.org/10.1103/PhysRevB.66.134101 doi: 10.1103/PhysRevB.66.134101]
-* TiZr ?
+* TiZr [http://www.geocities.jp/ohba_lab_ob_page/structure6.html ?]
 ====Nano====

@@ Line 38: / Line 38: @@
 * [http://en.wikipedia.org/wiki/Aluminium_diboride Aluminium diboride (AlB<sub>2</sub>)] (''a'' = ''b'' = 3.0062 Å, ''c'' = 3.2548, ''c''/''a'' = 1.0827)
 ** [http://dx.doi.org/10.1103/PhysRevB.66.134101 doi: 10.1103/PhysRevB.66.134101]
 ====Nano====

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 ===Symmetry===
 * Crystal Family: Hexagonal
 * Space Group: P6/mmm, No. 191
 * Particles per unit cell: <math>n=3</math>

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 ===Examples===
 ====Elemental====
-* TBD
+* High-pressure structure of Zr (''c''/''a'' ~ 0.62)
 ====Atomic====

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 ====Particle B: inner====
-* <math>\left(\frac{a}{3}+\frac{b}{6},\frac{\sqrt{3}b}{6},\frac{c}{2} \right), \, \left(\frac{2a}{3}+\frac{b}{3},\frac{\sqrt{3}b}{3},\frac{c}{2} \right),</math>
+* <math>\left(\frac{a}{3}+\frac{b}{6},\frac{\sqrt{3}b}{6},\frac{c}{2} \right), \, \left(\frac{2a}{3}+\frac{b}{3},\frac{\sqrt{3}b}{3},\frac{c}{2} \right)</math>
 ===Examples===

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 These are the two inner particles.
 * <math> 2 \, \mathrm{inner} \, \times \, 1 = 2</math>
-** <math>\left(\frac{1}{3},\frac{1}{3},\frac{1}{2} \right), \, \left(\frac{2}{3},\frac{2}{3},\frac{1}{2} \right),</math>
+** <math>\left(\frac{1}{3},\frac{1}{3},\frac{1}{2} \right), \, \left(\frac{2}{3},\frac{2}{3},\frac{1}{2} \right)</math>
 ===Particle Positions (Cartesian coordinates)===

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 ====Nano====
-* 4.3 nm and 2.3 nm Fe<sub>x</sub>Pt<sub>1−)x</sub> nanoparticles
+* 4.3 nm and 2.3 nm Fe<sub>x</sub>Pt<sub>1−x</sub> nanoparticles
 ** Sra, A.K.; Ewers, T.D.; Xu, Q.; Zandbergen, H.; Schaak, R.E. [http://pubs.rsc.org/en/content/articlelanding/2006/cc/b515673d/unauth#!divAbstract One-pot synthesis of bi-disperse FePt nanoparticles and size-selective self-assembly into AB2, AB5, and AB13 superlattices] ''Chem. Commun.'' '''2006''', 750-752 [http://dx.doi.org/10.1039/B515673D doi: 10.1039/B515673D ]
 * 15 nm Fe<sub>3</sub>O<sub>4</sub> and 6 nm FePt nanoparticles assembled at liquid interface
 ** Dong, A., Chen, J., Vora, P. M., Kikkawa, J. M. & Murray, C. B. [http://www.nature.com/nature/journal/v466/n7305/full/nature09188.html Binary nanocrystal superlattice membranes self-assembled at the liquid–air interface] ''Nature'' '''2010''' 466, 474–477 [http://dx.doi.org/10.1038/nature09188 doi: 10.1038/nature09188]
 ** Korgel, B.A. [http://www.nature.com/nmat/journal/v9/n9/full/nmat2846.html Nanocrystal superlattices: Assembly at liquid interfaces], ''Nature Materials'' '''2010''', 9, 701-703 [http://dx.doi.org/10.1038/nmat2846 doi: 10.1038/nmat2846]