The C14 (Hexagonal
Laves) Structure
Last modified 5 April
2001
You can now
- Prototype: MgZn2
- Pearson Symbol: hP12
- Strukturbericht Designation: C14
- Space Group: P63/mmc (Cartesian and lattice coordinate listings
available)
- Number: 194
- Other Elements with this Structure: CaMg2,
ZrRe2, KNa2, TaFe2,
NbMn2, UNi2
- Primitive Vectors:
- A1 = ½ a X - ½
31/2 a Y
- A2 = ½ a X + ½
31/2 a Y
- A3 = c Z
- Basis Vector:
- B1 = 0 (Zn)
- B2 = ½ A3 = ½ c
Z (Zn)
- B3 = x1 A1 + 2
x1 A2 + ¼ A3 =
3/2 x1 a X + ½ 31/2 x1
a Y + ¼ c Z (Zn)
- B4 = -2 x1 A1 -
x1 A2 + ¼ A3 =
-3/2 x1 a X + ½ 31/2 x1
a Y + ¼ c Z (Zn)
- B5 = x1 A1 -
x1 A2 + ¼ A3 = -
½ 31/2 x1 a Y + ¼ c Z
(Zn)
- B6 = - x1 A1 - 2
x1 A2 + ¾ A3 = -
3/2 x1 a X - ½ 31/2 x1
a Y + ¾ c Z (Zn)
- B7 = 2 x1 A1 +
x1 A2 + ¾ A3 =
3/2 x1 a X - ½ 31/2 x1
a Y + ¾ c Z (Zn)
- B8 = - x1 A1 +
x1 A2 + ¾ A3 =
½ 31/2 x1 a Y + ¼ c Z
(Zn)
- B9 = 1/3 A1 + 2/3
A2 + z2 A3 = ½ a
X + ½ 3-1/2 a Y + z2 c
Z (Mg)
- B10 = 2/3 A1 + 1/3
A2 - z2 A3 = ½ a
X - ½ 3-1/2 a Y - z2 c
Z (Mg)
- B11 = 2/3 A1 + 1/3
A2 + (½ + z2)
A3 = ½ a X - ½ 3-1/2 a
Y + (½ + z2) c Z (Mg)
- B12 = 1/3 A1 + 2/3
A2 + (½ - z2) A3
= ½ a X + ½ 3-1/2 a Y + (½ -
z2) c Z (Mg)
Go back to the Laves structures page.
Go back to Crystal Lattice Structure
page.
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