$\alpha$–IrV Crystal Structure: AB_oC8_65_j_g

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Prototype : $\alpha$–IrV
AFLOW prototype label : AB_oC8_65_j_g
Strukturbericht designation : None
Pearson symbol : oC8
Space group number : 65
Space group symbol : $\mbox{Cmmm}$
AFLOW prototype command : aflow --proto=AB_oC8_65_j_g
--params=
$a$,$b/a$,$c/a$,$x_{1}$,$y_{2}$


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:

\[ \begin{array}{ccccccc} & & \mbox{Lattice Coordinates} & & \mbox{Cartesian Coordinates} &\mbox{Wyckoff Position} & \mbox{Atom Type} \\ \mathbf{B}_{1} & =& x_{1} \, \mathbf{a}_{1} + x_{1} \, \mathbf{a}_{2}& =& x_{1} \, a \, \mathbf{\hat{x}}& \left(4g\right) & \mbox{V} \\ \mathbf{B}_{2} & =& - x_{1} \, \mathbf{a}_{1} - x_{1} \, \mathbf{a}_{2}& =& - x_{1} \, a \, \mathbf{\hat{x}}& \left(4g\right) & \mbox{V} \\ \mathbf{B}_{3} & =& - y_{2} \, \mathbf{a}_{1} + y_{2} \, \mathbf{a}_{2} + \frac12 \, \mathbf{a}_{3}& =& y_{2} \, b \, \mathbf{\hat{y}} + \frac12 \, c \, \mathbf{\hat{z}}& \left(4j\right) & \mbox{Ir} \\ \mathbf{B}_{4} & =& y_{2} \, \mathbf{a}_{1} - y_{2} \, \mathbf{a}_{2} + \frac12 \, \mathbf{a}_{3}& =& - y_{2} \, b \, \mathbf{\hat{y}} + \frac12 \, c \, \mathbf{\hat{z}}& \left(4j\right) & \mbox{Ir} \\ \end{array} \]

References

  • B. C. Giessen and N. J. Grant, New intermediate phases in transition metal systems, III, Acta Cryst. 18, 1080–1081 (1965), doi:10.1107/S0365110X65002566.

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. 4139.

Geometry files


Prototype Generator

aflow --proto=AB_oC8_65_j_g --params=

Species:

Running:

Output: