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

# The α (low) Quartz 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)

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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).