Crystal Lattice Structures: Creation Date: 26 Jan 1996 Last Modified: 21 Oct 2004

# βManganese (A13) Crystal Structure

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• Prototype: βMn
• Pearson Symbol: cP20
• Strukturbericht Designation: A13
• Space Group: P4132 (Cartesian and lattice coordinate listings available)
• Number: 213
• Reference: Donohue The Structures of the Elements, pp. 191-199.
• Other Elements with this Structure: None
• Primitive Vectors:  A1 = a X A2 = a Y A3 = a Z
• Basis Vectors:

Since this is a simple cubic unit cell, we will only list the Cartesian coordinates of the atoms in the basis.

 B1 = + x1 a X + x1 a Y + x1 a Z (8c) B2 = + (¾ - x1) a X + (¾ - x1) a Y + (¾ - x1) a Z (8c) B3 = + (½ + x1) a X + (½ - x1) a Y - x1 a Z (8c) B4 = + (¼ - x1) a X + (¾ + x1) a Y + (¼ + x1) a Z (8c) B5 = - x1 a X + (½ + x1) a Y + (½ - x1)a Z (8c) B6 = + (¼ + x1) a X + (¼ - x1) a Y + (¾ + x1) a Z (8c) B7 = + (½ - x1) a X + - x1 a Y + (½ + x1)a Z (8c) B8 = + (¾ + x1) a X + (¼ + x1) a Y + (¼ - x1) a Z (8c) B9 = + 1/8 a X + x2 a Y + (¼ + x2) a Z (12d) B10 = + 3/8 a X - x2 a Y + (¾ + x2) a Z (12d) B11 = + 7/8 a X + (½ + x2) a Y + (¼ - x2) a Z (12d) B12 = + 5/8 a X + (½ - x2) a Y + (¾ - x2) a Z (12d) B13 = + (¼ + x2) a X + 1/8 a Y + x2 a Z (12d) B14 = + (¾ + x2) a X + 3/8 a Y - x2 a Z (12d) B15 = + (¼ - x2) a X + 7/8 a Y + (½ + x2) a Z (12d) B16 = + (¾ - x2) a X + 5/8 a Y + (½ - x2) a Z (12d) B17 = + x2 a X + (¼ + x2) a Y + 1/8 a Z (12d) B18 = - x2 a X + (¾ + x2) a Y + 3/8 a Z (12d) B19 = + (½ + x2) a X + (¼ - x2) a Y + 7/8 a Z (12d) B20 = + (½ - x2) a X + (¾ - x2) a Y + 5/8 a Z (12d)

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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).