Crystal Lattice Structures:	Creation Date: 24 Jan 1996
	Last Modified: 21 Oct 2004

The MgNi₂ hexagonal Laves Structure (C36)

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• The Mg atoms are located on the sites of the 4H CSi structure. The stacking of the Mg dimers is ABACABAC.

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• Prototype: MgNi₂
• Pearson Symbol: hP24
• Strukturbericht Designation: C36
• Space Group: P6₃/mmc (Cartesian and lattice coordinate listings available)
• Number: 194
• Reference: Pearson, Alloys, p. 660.
• Other Compounds with this Structure: NbZn₂, ScFe₂, ThMg₂, HfCr₂, UPt₂
• Primitive Vectors:

  A1	=	½ a X - ½ 3½ a Y
  A2	=	½ a X + ½ 3½ a Y
  A3	=	c Z

• Basis Vectors:

  B1	=	z1 A3	=	z1 c Z	(Mg-I)	(4e)
  B2	=	- z1 A3	=	- z1 c Z	(Mg-I)	(4e)
  B3	=	(½ + z1) A3	=	(½ + z1) c Z	(Mg-I)	(4e)
  B4	=	(½ - z1) A3	=	(½ - z1) c Z	(Mg-I)	(4e)
  B5	=	1/3 A1 + 2/3 A2 + z2 A3	=	½ a X + 12-½ a Y + z2 c Z	(Mg-II)	(4f)
  B6	=	2/3 A1 + 1/3 A2 - z2 A3	=	½ a X - 12-½ a Y - z2 c Z	(Mg-II)	(4f)
  B7	=	2/3 A1 + 1/3 A2 + (½ + z2) A3	=	½ a X - 12-½ a Y + (½ + z2) c Z	(Mg-II)	(4f)
  B8	=	1/3 A1 + 2/3 A2 + (½ - z2) A3	=	½ a X + 12-½ a Y + (½ - z2) c Z	(Mg-II)	(4f)
  B9	=	1/3 A1 + 2/3 A2 + z3 A3	=	½ a X + 12-½ a Y + z3 c Z	(Ni-I)	(4f)
  B10	=	2/3 A1 + 1/3 A2 - z3 A3	=	½ a X - 12-½ a Y - z3 c Z	(Ni-I)	(4f)
  B11	=	2/3 A1 + 1/3 A2 + (½ + z3) A3	=	½ a X - 12-½ a Y + (½ + z3) c Z	(Ni-I)	(4f)
  B12	=	1/3 A1 + 2/3 A2 + (½ - z3) A3	=	½ a X + 12-½ a Y + (½ - z3) c Z	(Ni-I)	(4f)
  B13	=	½ A1	=	¼ a X - ¼ 3½ a Y	(Ni-II)	(6g)
  B14	=	½ A2	=	¼ a X + ¼ 3½ a Y	(Ni-II)	(6g)
  B15	=	½ A1 + ½ A2	=	½ a X	(Ni-II)	(6g)
  B16	=	½ A1 + ½ A3	=	¼ a X - ¼ 3½ a Y + ½ c Z	(Ni-II)	(6g)
  B17	=	½ A2 + ½ A3	=	¼ a X + ¼ 3½ a Y + ½ c Z	(Ni-II)	(6g)
  B18	=	½ A1 + ½ A2 + ½ A3	=	½ a X + ½ c Z	(Ni-II)	(6g)
  B19	=	x1 A1 + 2 x1 A2 + ¼ A3	=	3/2 x1 a X + ½ 3½ x1 a + ¼ c Z	(Ni-II)	(6h)
  B20	=	-2 x1 A1 - x1 A2 + ¼ A3	=	- 3/2 x1 a X + ½ 3½ x1 a + ¼ c Z	(Ni-III)	(6h)
  B21	=	x1 A1 - x1 A2 + ¼ A3	=	- 3½ x1 a + ¼ c Z	(Ni-III)	(6h)
  B22	=	-x1 A1 - 2 x1 A2 + ¾ A3	=	- 3/2 x1 a X - ½ 3½ x1 a + ¾ c Z	(Ni-III)	(6h)
  B23	=	2 x1 A1 + x1 A2 + ¾ A3	=	3/2 x1 a X - ½ 3½ x1 a + ¾ c Z	(Ni-III)	(6h)
  B24	=	-x1 A1 + x1 A2 + ¾ A3	=	3½ x1 a + ¾ c Z	(Ni-III)	(6h)

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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).