Crystal Lattice Structures:	Creation Date: 22 Mar 2003
	Last Modified: 26 Jun 2006

The Mg₂Ni (C_a) Structure

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• Prototype: Mg₂Ni
• Pearson Symbol: hP18
• Strukturbericht Designation: C_a
• Space Group: P6₂22 (Cartesian and lattice coordinate listings available)
• Number: 180
• Reference: Pearson's Handbook, Vol. IV, p. 4294.
• Other compounds with this structure: CuMg₄Ni
• Primitive Vectors:

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

• Basis Vectors:

  B1	=	½ A3	=	½ c Z	(Ni-I)	(3b)
  B2	=	1/6 A3	=	1/6 c Z	(Ni-I)	(3b)
  B3	=	5/6 A3	=	5/6 c Z	(Ni-I)	(3b)
  B4	=	½ A1	=	¼ a X - ¼ 3½ a Y	(Ni-II)	(3c)
  B5	=	½ A2 + 2/3 A3	=	¼ a X + ¼ 3½ a Y + 2/3 c Z	(Ni-II)	(3c)
  B6	=	½ A1 + ½ A2 + 1/3 A3	=	½ a X + 1/3 c Z	(Ni-II)	(3c)
  B7	=	½ A1 + z A3	=	¼ a X - ¼ 3½ a Y + z c Z	(Mg-I)	(6f)
  B8	=	½ A2 + (2/3 + z) A3	=	¼ a X + ¼ 3½ a Y + (2/3 + z) c Z	(Mg-I)	(6f)
  B9	=	½ A1 + ½ A2 + (1/3 + z) A3	=	½ a X + (1/3 + z) c Z	(Mg-I)	(6f)
  B10	=	½ A1 - z A3	=	¼ a X - ¼ 3½ a Y - z c Z	(Mg-I)	(6f)
  B11	=	½ A2 + (2/3 - z) A3	=	¼ a X + ¼ 3½ a Y + (2/3 - z) c Z	(Mg-I)	(6f)
  B12	=	½ A1 + ½ A2 + (1/3 - z) A3	=	½ a X + (1/3 - z) c Z	(Mg-I)	(6f)
  B13	=	+ x A1 + 2 x A2	=	+ 3/2 x a X + ½ 3½ x a Y	(Mg-II)	(6i)
  B14	=	+ 2 x A1 + x A2 + 2/3 A3	=	+ 3/2 x a X - ½ 3½ x a Y + 2/3 c Z	(Mg-II)	(6i)
  B15	=	+ x A1 - x A2 + 1/3 A3	=	- 3½ x a Y + 1/3 c Z	(Mg-II)	(6i)
  B16	=	- x A1 - 2 x A2	=	- 3/2 x a X - ½ 3½ x a Y	(Mg-II)	(6i)
  B17	=	- 2 x A1 - x A2 + 2/3 A3	=	- 3/2 x a X + ½ 3½ x a Y + 2/3 c Z	(Mg-II)	(6i)
  B18	=	- x A1 + x A2 + 1/3 A3	=	+ 3½ x a Y + 1/3 c Z	(Mg-II)	(6i)

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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).