Crystal Lattice Structures: Creation Date: 22 Jan 1996 Last Modified: 28 May 2009

# The MgZn2 hexagonal Laves Structure (C14)

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• The Mg atoms are located on the sites of the hexagonal diamond structure. The stacking of the Mg dimers is ABAB.
• 28 May 2009: An alert reader notice that the Cartesian expressions for B5 and B8 were incorrect. These have been corrected. The vectors listed in the LaTeX output file were always correct.

• Prototype: MgZn2
• Pearson Symbol: hP12
• Strukturbericht Designation: C14
• Space Group: P63/mmc (Cartesian and lattice coordinate listings available)
• Number: 194
• Reference: Pearson, Alloys, p. 657.
• Other Compounds with this Structure: CaMg2, ZrRe2, KNa2, TaFe2, NbMn2, UNi2
• Primitive Vectors:  A1 = ½ a X - ½ 3½ a Y A2 = ½ a X + ½ 3½ a Y A3 = c Z
• Basis Vectors:  B1 = 0 (Zn-I) (2a) B2 = ½ A3 = ½ c Z (Zn-I) (2a) B3 = x1 A1 + 2 x1 A2 + ¼ A3 = 3/2 x1 a X + ½ 3½ x1 a Y + ¼ c Z (Zn-II) (6h) B4 = -2 x1 A1 - x1 A2 + ¼ A3 = -3/2 x1 a X + ½ 3½ x1 a Y + ¼ c Z (Zn-II) (6h) B5 = x1 A1 - x1 A2 + ¼ A3 = - 3½ x1 a Y + ¼ c Z (Zn-II) (6h) B6 = - x1 A1 - 2 x1 A2 + ¾ A3 = - 3/2 x1 a X - ½ 3½ x1 a Y + ¾ c Z (Zn-II) (6h) B7 = 2 x1 A1 + x1 A2 + ¾ A3 = 3/2 x1 a X - ½ 3½ x1 a Y + ¾ c Z (Zn-II) (6h) B8 = - x1 A1 + x1 A2 + ¾ A3 = 3½ x1 a Y + ¾ c Z (Zn-II) (6h) B9 = 1/3 A1 + 2/3 A2 + z2 A3 = ½ a X + 12-½ a Y + z2 c Z (Mg) (4f) B10 = 2/3 A1 + 1/3 A2 - z2 A3 = ½ a X - 12-½ a Y - z2 c Z (Mg) (4f) B11 = 2/3 A1 + 1/3 A2 +   (½ + z2) A3 = ½ a X - 12-½ a Y + (½ + z2) c Z (Mg) (4f) B12 = 1/3 A1 + 2/3 A2 + (½ - z2) A3 = ½ a X + 12-½ a Y + (½ - z2) c Z (Mg) (4f)

### See these vectors LaTeX output format.

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 Structures indexed by: This is a mirror of an old page created at theNaval Research LaboratoryCenter for Computational Materials ScienceThe maintained successor is hosted at http://www.aflowlib.org/CrystalDatabase/ and published as M. Mehl et al., Comput. Mater. Sci. 136 (Supp.), S1-S828 (2017).