Crystal Lattice Structures:	Creation Date: 18 Feb 2007
	Last Modified: 18 Feb 2006

The γBrass (Cu₅Zn₈) Structure

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• This is a nominal structure for γBrass. The reference uses an actual composition of Cu_18.3Zn_33.7, so there is some mixture of Cu and Zn on each crystallographic site.

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• Prototype: Cu₅Zn₈
• Pearson Symbol: cI52
• Strukturbericht Designation: none
• Space Group: I43m (Cartesian and lattice coordinate listings available)
• Number: 217
• Reference: Brandon et al., Acta Cryst. B 30, 1412 (1974) (Cu_18.3Zn_33.7)
• Other compounds with this structure: Cu_xZn_1-x, Cu_xCd_1-x, Fe_xZn_1-x
• Primitive Vectors:

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

• Basis Vectors:

  B1	=	+ 2 x1 A1 + 2 x1 A2 + 2 x1 A3	=	+ x1 a X + x1 a Y + x1 a Z	(8c)	(Zn-I)
  B2	=	- 2 x1 A1	=	+ x1 a X - x1 a Y - x1 a Z	(8c)	(Zn-I)
  B3	=	- 2 x1 A2	=	- x1 a X + x1 a Y - x1 a Z	(8c)	(Zn-I)
  B4	=	- 2 x1 A3	=	- x1 a X - x1 a Y + x1 a Z	(8c)	(Zn-I)
  B5	=	+ 2 x2 A1 + 2 x2 A2 + 2 x2 A3	=	+ x2 a X + x2 a Y + x2 a Z	(8c)	(Cu-I)
  B6	=	- 2 x2 A1	=	+ x2 a X - x2 a Y - x2 a Z	(8c)	(Cu-I)
  B7	=	- 2 x2 A2	=	- x2 a X + x2 a Y - x2 a Z	(8c)	(Cu-I)
  B8	=	- 2 x2 A3	=	- x2 a X - x2 a Y + x2 a Z	(8c)	(Cu-I)
  B9	=	+ x3 A2 + x3 A3	=	+ x3 a X	(12e)	(Cu-II)
  B10	=	- x3 A2 - x3 A3	=	- x3 a X	(12e)	(Cu-II)
  B11	=	+ x3 A1 + x3 A3	=	+ x3 a Y	(12e)	(Cu-II)
  B12	=	- x3 A1 - x3 A3	=	- x3 a Y	(12e)	(Cu-II)
  B13	=	+ x3 A1 + x3 A2	=	+ x3 a Z	(12e)	(Cu-II)
  B14	=	- x3 A1 - x3 A2	=	- x3 a Z	(12e)	(Cu-II)
  B15	=	+ (x4 + z4) A1 + (x4 + z4) A2 + 2 x4 A3	=	+ x4 a X + x4 a Y + z4 a Z	(24g)	(Zn-II)
  B16	=	- (x4 - z4) A1 - (x4 - z4) A2 - 2 x4 A3	=	- x4 a X - x4 a Y + z4 a Z	(24g)	(Zn-II)
  B17	=	+ (x4 - z4) A1 - (x4 + z4) A2	=	- x4 a X + x4 a Y - z4 a Z	(24g)	(Zn-II)
  B18	=	- (x4 + z4) A1 + (x4 - z4) A2	=	+ x4 a X - x4 a Y - z4 a Z	(24g)	(Zn-II)
  B19	=	+ 2 x4 A1 + (x4 + z4) A2 + (x4 + z4) A3	=	+ z4 a X + x4 a Y + x4 a Z	(24g)	(Zn-II)
  B20	=	- 2 x4 A1 - (x4 - z4) A2 - (x4 - z4) A3	=	+ z4 a X - x4 a Y - x4 a Z	(24g)	(Zn-II)
  B21	=	+ (x4 - z4) A2 - (x4 + z4) A3	=	- z4 a X - x4 a Y + x4 a Z	(24g)	(Zn-II)
  B22	=	- (x4 + z4) A2 + (x4 - z4) A3	=	- z4 a X + x4 a Y - x4 a Z	(24g)	(Zn-II)
  B23	=	+ (x4 + z4) A1 + 2 x4 A2 + (x4 + z4) A3	=	+ x4 a X + z4 a Y + x4 a Z	(24g)	(Zn-II)
  B24	=	- (x4 - z4) A1 - 2 x4 A2 - (x4 - z4) A3	=	- x4 a X + z4 a Y - x4 a Z	(24g)	(Zn-II)
  B25	=	- (x4 + z4) A2 + (x4 - z4) A3	=	+ x4 a X - z4 a Y - x4 a Z	(24g)	(Zn-II)
  B26	=	+ (x4 - z4) A1 - (x4 + z4) A3	=	- x4 a X - z4 a Y + x4 a Z	(24g)	(Zn-II)

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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).