Model of Austenite Structure (cP32): AB27CD3_cP32_221_a_dij_b

Basis vectors

		Lattice coordinates		Cartesian coordinates	Wyckoff position	Atom type
$B_{1}$	=	$0$	=	$0$	(1a)	Cr I
$B_{2}$	=	$\frac{1}{2} a_{1} + \frac{1}{2} a_{2} + \frac{1}{2} a_{3}$	=	$\frac{1}{2} a \hat{x} + \frac{1}{2} a \hat{y} + \frac{1}{2} a \hat{z}$	(1b)	Mo I
$B_{3}$	=	$\frac{1}{2} a_{2} + \frac{1}{2} a_{3}$	=	$\frac{1}{2} a \hat{y} + \frac{1}{2} a \hat{z}$	(3c)	Ni I
$B_{4}$	=	$\frac{1}{2} a_{1} + \frac{1}{2} a_{3}$	=	$\frac{1}{2} a \hat{x} + \frac{1}{2} a \hat{z}$	(3c)	Ni I
$B_{5}$	=	$\frac{1}{2} a_{1} + \frac{1}{2} a_{2}$	=	$\frac{1}{2} a \hat{x} + \frac{1}{2} a \hat{y}$	(3c)	Ni I
$B_{6}$	=	$\frac{1}{2} a_{1}$	=	$\frac{1}{2} a \hat{x}$	(3d)	Fe I
$B_{7}$	=	$\frac{1}{2} a_{2}$	=	$\frac{1}{2} a \hat{y}$	(3d)	Fe I
$B_{8}$	=	$\frac{1}{2} a_{3}$	=	$\frac{1}{2} a \hat{z}$	(3d)	Fe I
$B_{9}$	=	$y_{5} a_{2} + y_{5} a_{3}$	=	$a y_{5} \hat{y} + a y_{5} \hat{z}$	(12i)	Fe II
$B_{10}$	=	$- y_{5} a_{2} + y_{5} a_{3}$	=	$- a y_{5} \hat{y} + a y_{5} \hat{z}$	(12i)	Fe II
$B_{11}$	=	$y_{5} a_{2} - y_{5} a_{3}$	=	$a y_{5} \hat{y} - a y_{5} \hat{z}$	(12i)	Fe II
$B_{12}$	=	$- y_{5} a_{2} - y_{5} a_{3}$	=	$- a y_{5} \hat{y} - a y_{5} \hat{z}$	(12i)	Fe II
$B_{13}$	=	$y_{5} a_{1} + y_{5} a_{3}$	=	$a y_{5} \hat{x} + a y_{5} \hat{z}$	(12i)	Fe II
$B_{14}$	=	$y_{5} a_{1} - y_{5} a_{3}$	=	$a y_{5} \hat{x} - a y_{5} \hat{z}$	(12i)	Fe II
$B_{15}$	=	$- y_{5} a_{1} + y_{5} a_{3}$	=	$- a y_{5} \hat{x} + a y_{5} \hat{z}$	(12i)	Fe II
$B_{16}$	=	$- y_{5} a_{1} - y_{5} a_{3}$	=	$- a y_{5} \hat{x} - a y_{5} \hat{z}$	(12i)	Fe II
$B_{17}$	=	$y_{5} a_{1} + y_{5} a_{2}$	=	$a y_{5} \hat{x} + a y_{5} \hat{y}$	(12i)	Fe II
$B_{18}$	=	$- y_{5} a_{1} + y_{5} a_{2}$	=	$- a y_{5} \hat{x} + a y_{5} \hat{y}$	(12i)	Fe II
$B_{19}$	=	$y_{5} a_{1} - y_{5} a_{2}$	=	$a y_{5} \hat{x} - a y_{5} \hat{y}$	(12i)	Fe II
$B_{20}$	=	$- y_{5} a_{1} - y_{5} a_{2}$	=	$- a y_{5} \hat{x} - a y_{5} \hat{y}$	(12i)	Fe II
$B_{21}$	=	$\frac{1}{2} a_{1} + y_{6} a_{2} + y_{6} a_{3}$	=	$\frac{1}{2} a \hat{x} + a y_{6} \hat{y} + a y_{6} \hat{z}$	(12j)	Fe III
$B_{22}$	=	$\frac{1}{2} a_{1} - y_{6} a_{2} + y_{6} a_{3}$	=	$\frac{1}{2} a \hat{x} - a y_{6} \hat{y} + a y_{6} \hat{z}$	(12j)	Fe III
$B_{23}$	=	$\frac{1}{2} a_{1} + y_{6} a_{2} - y_{6} a_{3}$	=	$\frac{1}{2} a \hat{x} + a y_{6} \hat{y} - a y_{6} \hat{z}$	(12j)	Fe III
$B_{24}$	=	$\frac{1}{2} a_{1} - y_{6} a_{2} - y_{6} a_{3}$	=	$\frac{1}{2} a \hat{x} - a y_{6} \hat{y} - a y_{6} \hat{z}$	(12j)	Fe III
$B_{25}$	=	$y_{6} a_{1} + \frac{1}{2} a_{2} + y_{6} a_{3}$	=	$a y_{6} \hat{x} + \frac{1}{2} a \hat{y} + a y_{6} \hat{z}$	(12j)	Fe III
$B_{26}$	=	$y_{6} a_{1} + \frac{1}{2} a_{2} - y_{6} a_{3}$	=	$a y_{6} \hat{x} + \frac{1}{2} a \hat{y} - a y_{6} \hat{z}$	(12j)	Fe III
$B_{27}$	=	$- y_{6} a_{1} + \frac{1}{2} a_{2} + y_{6} a_{3}$	=	$- a y_{6} \hat{x} + \frac{1}{2} a \hat{y} + a y_{6} \hat{z}$	(12j)	Fe III
$B_{28}$	=	$- y_{6} a_{1} + \frac{1}{2} a_{2} - y_{6} a_{3}$	=	$- a y_{6} \hat{x} + \frac{1}{2} a \hat{y} - a y_{6} \hat{z}$	(12j)	Fe III
$B_{29}$	=	$y_{6} a_{1} + y_{6} a_{2} + \frac{1}{2} a_{3}$	=	$a y_{6} \hat{x} + a y_{6} \hat{y} + \frac{1}{2} a \hat{z}$	(12j)	Fe III
$B_{30}$	=	$- y_{6} a_{1} + y_{6} a_{2} + \frac{1}{2} a_{3}$	=	$- a y_{6} \hat{x} + a y_{6} \hat{y} + \frac{1}{2} a \hat{z}$	(12j)	Fe III
$B_{31}$	=	$y_{6} a_{1} - y_{6} a_{2} + \frac{1}{2} a_{3}$	=	$a y_{6} \hat{x} - a y_{6} \hat{y} + \frac{1}{2} a \hat{z}$	(12j)	Fe III
$B_{32}$	=	$- y_{6} a_{1} - y_{6} a_{2} + \frac{1}{2} a_{3}$	=	$- a y_{6} \hat{x} - a y_{6} \hat{y} + \frac{1}{2} a \hat{z}$	(12j)	Fe III

Prototype	CrFe $_{27}$ MoNi $_{3}$
AFLOW prototype label	AB27CD3_cP32_221_a_dij_b_c-001
ICSD	none
Pearson symbol	cP32
Space group number	221
Space group symbol	$P m \overline{3} m$
AFLOW prototype command	aflow --proto=AB27CD3_cP32_221_a_dij_b_c-001 --params= $a, y_{5}, y_{6}$

Encyclopedia of Crystallographic Prototypes

Model of Austenite Structure (cP32): AB27CD3_cP32_221_a_dij_b_c-001

Simple Cubic primitive vectors

References

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