Ga3Pt5 Structure: A3B5_oC16_65_ah_bej

Picture of Structure; Click for Big Picture
Prototype : Ga3Pt5
AFLOW prototype label : A3B5_oC16_65_ah_bej
Strukturbericht designation : None
Pearson symbol : oC16
Space group number : 65
Space group symbol : $\mbox{Cmmm}$
AFLOW prototype command : aflow --proto=A3B5_oC16_65_ah_bej
--params=
$a$,$b/a$,$c/a$,$x_{4}$,$y_{5}$


Base-centered Orthorhombic primitive vectors:

\[ \begin{array}{ccc} \mathbf{a}_1 & = & \frac12 \, a \, \mathbf{\hat{x}} - \frac12 \, b \, \mathbf{\hat{y}} \\ \mathbf{a}_2 & = & \frac12 \, a \, \mathbf{\hat{x}} + \frac12 \, b \, \mathbf{\hat{y}} \\ \mathbf{a}_3 & = & c \, \mathbf{\hat{z}} \end{array} \]

Basis vectors:

\[ \begin{array}{ccccccc} & & \mbox{Lattice Coordinates} & & \mbox{Cartesian Coordinates} &\mbox{Wyckoff Position} & \mbox{Atom Type} \\ \mathbf{B_1} & = & 0 \, \mathbf{a}_{1} + 0 \, \mathbf{a}_{2} + 0 \, \mathbf{a}_{3} & = & 0 \mathbf{\hat{x}} + 0 \mathbf{\hat{y}} + 0 \mathbf{\hat{z}} & \left(2a\right) & \mbox{Ga I} \\ \mathbf{B}_{2} & =& \frac12 \, \mathbf{a}_{1} + \frac12 \, \mathbf{a}_{2}& =& \frac12 \, a \, \mathbf{\hat{x}}& \left(2b\right) & \mbox{Pt I} \\ \mathbf{B}_{3} & =& \frac12 \, \mathbf{a}_{2}& =& \frac14 \, a \, \mathbf{\hat{x}} + \frac14 \, b \, \mathbf{\hat{y}}& \left(4e\right) & \mbox{Pt II} \\ \mathbf{B}_{4} & =& \frac12 \, \mathbf{a}_{1}& =& \frac14 \, a \, \mathbf{\hat{x}} + \frac34 \, b \, \mathbf{\hat{y}}& \left(4e\right) & \mbox{Pt II} \\ \mathbf{B}_{5} & =& x_{4} \, \mathbf{a}_{1} + x_{4} \, \mathbf{a}_{2} + \frac12 \, \mathbf{a}_{3}& =& x_{4} \, a \, \mathbf{\hat{x}} + \frac12 \, c \mathbf{\hat{z}}& \left(4h\right) & \mbox{Ga II} \\ \mathbf{B}_{6} & =& - x_{4} \, \mathbf{a}_{1} - x_{4} \, \mathbf{a}_{2} + \frac12 \, \mathbf{a}_{3}& =& - x_{4} \, a \, \mathbf{\hat{x}} + \frac12 \, c \mathbf{\hat{z}}& \left(4h\right) & \mbox{Ga II} \\ \mathbf{B}_{7} & =& - y_{5} \, \mathbf{a}_{1} + y_{5} \, \mathbf{a}_{2} + \frac12 \, \mathbf{a}_{3}& =& y_{5} \, b \, \mathbf{\hat{y}} + \frac12 \, c \mathbf{\hat{z}}& \left(4j\right) & \mbox{Pt III} \\ \mathbf{B}_{8} & =& y_{5} \, \mathbf{a}_{1} - y_{5} \, \mathbf{a}_{2} + \frac12 \, \mathbf{a}_{3}& =& - y_{5} \, b \, \mathbf{\hat{y}} + \frac12 \, c \mathbf{\hat{z}}& \left(4j\right) & \mbox{Pt III} \\ \end{array} \]

References

  • K. Schubert, S. Bhan, W. Burkhardt, R. Gohle, H. G. Meissner, M. Pötzschke, and E. Stolz, Einige strukturelle Ergebnisse an metallischen Phasen (5), Naturwissenschaften 47, 303 (1960).

Found in

  • P. Villars and L. Calvert, Pearson's Handbook of Crystallographic Data for Intermetallic Phases (ASM International, Materials Park, OH, 1991), 2nd edn., pp. 3540.

Geometry files


Prototype Generator

aflow --proto=A3B5_oC16_65_ah_bej --params=

Species:

Running:

Output: