Crystal Lattice Structures:	Reference Date:  1 Jul 1997
	Last Modified: 21 Oct 2004

The βSn (A5) Structure

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)

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• Note that when c/a = 2^½ this lattice is equivalent to the diamond lattice.
• The basis vectors are at the (4a) sites in the International Crystallography Tables. Note that we use the representation where an inversion site is at the origin. Previously, we put the atoms on the (4b) sites and then mis-identified the origin. This wouldn't affect any calculations you might have, but does cause a disagreement between the vectors reported here, in Pearson's Handbook, and the Space Group tables. (And this time we'll get it right.)

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• Prototype: Beta-Sn
• Pearson Symbol: tI4
• Strukturbericht Designation: A5
• Space Group: I4₁/amd (Cartesian and lattice coordinate listings available)
• Number: 141
• Reference: Pearson (Alloys), p. 311.
• Primitive Vectors:

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

• Basis Vectors:

  B1	=	- 1/8 A1 - 3/8 A2 + 1/4 A3	=	- 1/4 a Y + 1/8 c Z	(Sn)	(4a)
  B2	=	+ 1/8 A1 + 3/8 A2 - 1/4 A3	=	+ 1/4 a Y - 1/8 c Z	(Sn)	(4a)

See these vectors in LaTeX output format.

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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).