Crystal Lattice Structures:	Creation Date:  5 Apr 2000
	Last Modified: 17 Jul 2008

The α (low) Quartz 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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• When x₁ = ½, y₂ = 2 x₂, and z₂ = ½, this tranforms into the High Quartz (C8) structure.

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• Prototype: αSiO₂
• Pearson Symbol: hP9
• Space Group: P3₂21 (Cartesian and lattice coordinate listings available)
• Number: 154
• Primitive Vectors:

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

• Basis Vectors:

  B1	=	x1 A1 + 2/3 A3	=	x1 a X - ½ 3½ x1 a Y + 2/3 c Z	(Si)	(3a)
  B2	=	x1 A2 + 1/3 A3	=	x1 a X + ½ 3½ x1 a Y + 1/3 c Z	(Si)	(3a)
  B3	=	- x1 A1 - x1 A2	=	- x1 a X	(Si)	(3a)
  B4	=	x2 A1 + y2 A2 + z2 A3	=	½ (x2+y2) a X + ½ 3½ (x2-y2) a Y + z2 c Z	(O)	(6c)
  B5	=	-y2 A1 + (x2-y2) A2 + (2/3 + z2) A3	=	½ (x2 - 2 y2) a X + ½ 3½ x2 a Y + (2/3 + z2) c Z	(O)	(6c)
  B6	=	(y2 - x2) A1 - x2 A2 + (1/3 + z2) A3	=	½ (y2 - 2 x2) a X - ½ 3½ y2 a Y + (1/3 + z2) c Z	(O)	(6c)
  B7	=	y2 A1 + x2 A2 - z2 A3	=	½ (x2+y2) a X + ½ 3½ (y2-x2) a Y - z2 c Z	(O)	(6c)
  B8	=	-x2 A1 + (y2-x2) A2 + (2/3 - z2) A3	=	½ (y2 - 2 x2) a X + ½ 3½ y2 a Y + (2/3 - z2) c Z	(O)	(6c)
  B9	=	(x2 - y2) A1 - y2 A2 + (1/3 - z2) A3	=	½ (x2 - 2 y2) a X - ½ 3½ x2 a Y + (1/3 - z2) c Z	(O)	(6c)

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).