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

The MgZn₂ hexagonal Laves Structure (C14)

You can now

• see the structure from several perspectives;
• examine the structure with an external viewer; or
• download the coordinates of the atoms in these pictures in XYZ format.
• visualize the structure (Uses the JMOL Applet)

---

• 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.

---

Go back to the Laves Structure page.

Go back to Crystal Lattice Structure page.

Structures indexed by: Strukturbericht Symbol Pearson Symbol Space Group Prototype

This is a mirror of an old page created at the Naval Research Laboratory Center for Computational Materials Science The 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).