The Al₂ Cd S₄ (E3) Structure

Last modified 5 April 2001

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.

When c = 2a and x = y = 1/4, and z = 1/8 the atoms are on the sites of the diamond (A4) structure, but of course there are defects.

• Prototype: Al₂CdS₄
• Pearson Symbol: tI14
• Strukturbericht Designation: E3
• Space Group: I(-4) (Cartesian and lattice coordinate listings available)
• Number: 82
• Other compounds with this structure: CoGa₂S₄, FeGa₂S₄, HgGa₂Te₄, ZnGa₂S₄, HgAl₂S₄, numerous others.
• Primitive Vectors:
  • A₁ = a X
  • A₂ = a Y
  • A₃ = ½ a X + ½ a Y + ½ c Z
• Basis Vectors:

  B1	=		0		(Cd)	(2a)
  B2	=	½ A1 + ½ A2	=	½ a X + ½ a Y	(Al-I)	(2b)
  B3	=	- ¼ A1 + ¼ A2 + ½ A3	=	½ a Y + ¼ c Z	(Al-II)	(2c)
  B4	=	+ (x-z) A1 + (y-z) A2 + 2 z A3	=	+ x a X + y a Y + z c Z	(S)	(8g)
  B5	=	- (x+z) A1 - (y+z) A2 + 2 z A3	=	- x a X - y a Y + z c Z	(S)	(8g)
  B6	=	+ (y+z) A1 - (x-z) A2 - 2 z A3	=	+ y a X - x a Y - z c Z	(S)	(8g)
  B7	=	+ (z-y) A1 + (x+z) A2 - 2 z A3	=	- y a X + x a Y - z c Z	(S)	(8g)

See these vectors in a better notation.

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