Crystal Lattice Structures: Creation Date: 18 Jan 2003 Last Modified: 21 Oct 2004

# The P2I4 Structure

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• Prototype: P2I4
• Pearson Symbol: aP6
• Space Group: P1 (Cartesian and lattice coordinate listings available)
• Number: 2
• Reference: Wyckoff, Vol. I, p. 375
• Primitive Vectors:  A1 = a X A2 = bx X + by Y A3 = cx X + cy Y + cz Z
• In terms of the traditional lattice parameters: a, b, c, α, β, and γ:

 bx = b cos(γ) by = b sin(γ) cx = c cos(β) cy = c [ cos(α) - cos(β) cos(γ) ]/sin(γ) cz = [c2 - cx2 - cy2]½
• Basis Vectors:  B1 = + x1 A1 + y1 A2 + z1 A3 = + (x1 a + y1 bx + z1 cx) X + (y1 by + z1 cy) Y + z1 cz Z (P) (2i) B2 = - x1 A1 - y1 A2 - z1 A3 = - (x1 a + y1 bx + z1 cx) X - (y1 by + z1 cy) Y - z1 cz Z (P) (2i) B3 = + x2 A1 + y2 A2 + z2 A3 = + (x2 a + y2 bx + z2 cx) X + (y2 by + z2 cy) Y + z2 cz Z (I-1) (2i) B4 = - x2 A1 - y2 A2 - z2 A3 = - (x2 a + y2 bx + z2 cx) X - (y2 by + z2 cy) Y - z2 cz Z (I-1) (2i) B5 = + x3 A1 + y3 A2 + z3 A3 = + (x3 a + y3 bx + z3 cx) X + (y3 by + z3 cy) Y + z3 cz Z (I-2) (2i) B6 = - x3 A1 - y3 A2 - z3 A3 = - (x3 a + y3 bx + z3 cx) X - (y3 by + z3 cy) Y - z3 cz Z (I-2) (2i)

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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).