Orthorhombic Fullerene (Cs$_{3}$C$_{60}$) Structure: A15B_oI128_71_lmn6o

Basis vectors

		Lattice coordinates		Cartesian coordinates	Wyckoff position	Atom type
$B_{1}$	=	$x_{1} a_{2} + x_{1} a_{3}$	=	$a x_{1} \hat{x}$	(4e)	Cs I
$B_{2}$	=	$- x_{1} a_{2} - x_{1} a_{3}$	=	$- a x_{1} \hat{x}$	(4e)	Cs I
$B_{3}$	=	$y_{2} a_{1} + y_{2} a_{3}$	=	$b y_{2} \hat{y}$	(4g)	Cs II
$B_{4}$	=	$- y_{2} a_{1} - y_{2} a_{3}$	=	$- b y_{2} \hat{y}$	(4g)	Cs II
$B_{5}$	=	$(y_{3} + z_{3}) a_{1} + z_{3} a_{2} + y_{3} a_{3}$	=	$b y_{3} \hat{y} + c z_{3} \hat{z}$	(8l)	C I
$B_{6}$	=	$- (y_{3} - z_{3}) a_{1} + z_{3} a_{2} - y_{3} a_{3}$	=	$- b y_{3} \hat{y} + c z_{3} \hat{z}$	(8l)	C I
$B_{7}$	=	$(y_{3} - z_{3}) a_{1} - z_{3} a_{2} + y_{3} a_{3}$	=	$b y_{3} \hat{y} - c z_{3} \hat{z}$	(8l)	C I
$B_{8}$	=	$- (y_{3} + z_{3}) a_{1} - z_{3} a_{2} - y_{3} a_{3}$	=	$- b y_{3} \hat{y} - c z_{3} \hat{z}$	(8l)	C I
$B_{9}$	=	$z_{4} a_{1} + (x_{4} + z_{4}) a_{2} + x_{4} a_{3}$	=	$a x_{4} \hat{x} + c z_{4} \hat{z}$	(8m)	C II
$B_{10}$	=	$z_{4} a_{1} - (x_{4} - z_{4}) a_{2} - x_{4} a_{3}$	=	$- a x_{4} \hat{x} + c z_{4} \hat{z}$	(8m)	C II
$B_{11}$	=	$- z_{4} a_{1} - (x_{4} + z_{4}) a_{2} - x_{4} a_{3}$	=	$- a x_{4} \hat{x} - c z_{4} \hat{z}$	(8m)	C II
$B_{12}$	=	$- z_{4} a_{1} + (x_{4} - z_{4}) a_{2} + x_{4} a_{3}$	=	$a x_{4} \hat{x} - c z_{4} \hat{z}$	(8m)	C II
$B_{13}$	=	$y_{5} a_{1} + x_{5} a_{2} + (x_{5} + y_{5}) a_{3}$	=	$a x_{5} \hat{x} + b y_{5} \hat{y}$	(8n)	C III
$B_{14}$	=	$- y_{5} a_{1} - x_{5} a_{2} - (x_{5} + y_{5}) a_{3}$	=	$- a x_{5} \hat{x} - b y_{5} \hat{y}$	(8n)	C III
$B_{15}$	=	$y_{5} a_{1} - x_{5} a_{2} - (x_{5} - y_{5}) a_{3}$	=	$- a x_{5} \hat{x} + b y_{5} \hat{y}$	(8n)	C III
$B_{16}$	=	$- y_{5} a_{1} + x_{5} a_{2} + (x_{5} - y_{5}) a_{3}$	=	$a x_{5} \hat{x} - b y_{5} \hat{y}$	(8n)	C III
$B_{17}$	=	$(y_{6} + z_{6}) a_{1} + (x_{6} + z_{6}) a_{2} + (x_{6} + y_{6}) a_{3}$	=	$a x_{6} \hat{x} + b y_{6} \hat{y} + c z_{6} \hat{z}$	(16o)	C IV
$B_{18}$	=	$- (y_{6} - z_{6}) a_{1} - (x_{6} - z_{6}) a_{2} - (x_{6} + y_{6}) a_{3}$	=	$- a x_{6} \hat{x} - b y_{6} \hat{y} + c z_{6} \hat{z}$	(16o)	C IV
$B_{19}$	=	$(y_{6} - z_{6}) a_{1} - (x_{6} + z_{6}) a_{2} - (x_{6} - y_{6}) a_{3}$	=	$- a x_{6} \hat{x} + b y_{6} \hat{y} - c z_{6} \hat{z}$	(16o)	C IV
$B_{20}$	=	$- (y_{6} + z_{6}) a_{1} + (x_{6} - z_{6}) a_{2} + (x_{6} - y_{6}) a_{3}$	=	$a x_{6} \hat{x} - b y_{6} \hat{y} - c z_{6} \hat{z}$	(16o)	C IV
$B_{21}$	=	$- (y_{6} + z_{6}) a_{1} - (x_{6} + z_{6}) a_{2} - (x_{6} + y_{6}) a_{3}$	=	$- a x_{6} \hat{x} - b y_{6} \hat{y} - c z_{6} \hat{z}$	(16o)	C IV
$B_{22}$	=	$(y_{6} - z_{6}) a_{1} + (x_{6} - z_{6}) a_{2} + (x_{6} + y_{6}) a_{3}$	=	$a x_{6} \hat{x} + b y_{6} \hat{y} - c z_{6} \hat{z}$	(16o)	C IV
$B_{23}$	=	$- (y_{6} - z_{6}) a_{1} + (x_{6} + z_{6}) a_{2} + (x_{6} - y_{6}) a_{3}$	=	$a x_{6} \hat{x} - b y_{6} \hat{y} + c z_{6} \hat{z}$	(16o)	C IV
$B_{24}$	=	$(y_{6} + z_{6}) a_{1} - (x_{6} - z_{6}) a_{2} - (x_{6} - y_{6}) a_{3}$	=	$- a x_{6} \hat{x} + b y_{6} \hat{y} + c z_{6} \hat{z}$	(16o)	C IV
$B_{25}$	=	$(y_{7} + z_{7}) a_{1} + (x_{7} + z_{7}) a_{2} + (x_{7} + y_{7}) a_{3}$	=	$a x_{7} \hat{x} + b y_{7} \hat{y} + c z_{7} \hat{z}$	(16o)	C V
$B_{26}$	=	$- (y_{7} - z_{7}) a_{1} - (x_{7} - z_{7}) a_{2} - (x_{7} + y_{7}) a_{3}$	=	$- a x_{7} \hat{x} - b y_{7} \hat{y} + c z_{7} \hat{z}$	(16o)	C V
$B_{27}$	=	$(y_{7} - z_{7}) a_{1} - (x_{7} + z_{7}) a_{2} - (x_{7} - y_{7}) a_{3}$	=	$- a x_{7} \hat{x} + b y_{7} \hat{y} - c z_{7} \hat{z}$	(16o)	C V
$B_{28}$	=	$- (y_{7} + z_{7}) a_{1} + (x_{7} - z_{7}) a_{2} + (x_{7} - y_{7}) a_{3}$	=	$a x_{7} \hat{x} - b y_{7} \hat{y} - c z_{7} \hat{z}$	(16o)	C V
$B_{29}$	=	$- (y_{7} + z_{7}) a_{1} - (x_{7} + z_{7}) a_{2} - (x_{7} + y_{7}) a_{3}$	=	$- a x_{7} \hat{x} - b y_{7} \hat{y} - c z_{7} \hat{z}$	(16o)	C V
$B_{30}$	=	$(y_{7} - z_{7}) a_{1} + (x_{7} - z_{7}) a_{2} + (x_{7} + y_{7}) a_{3}$	=	$a x_{7} \hat{x} + b y_{7} \hat{y} - c z_{7} \hat{z}$	(16o)	C V
$B_{31}$	=	$- (y_{7} - z_{7}) a_{1} + (x_{7} + z_{7}) a_{2} + (x_{7} - y_{7}) a_{3}$	=	$a x_{7} \hat{x} - b y_{7} \hat{y} + c z_{7} \hat{z}$	(16o)	C V
$B_{32}$	=	$(y_{7} + z_{7}) a_{1} - (x_{7} - z_{7}) a_{2} - (x_{7} - y_{7}) a_{3}$	=	$- a x_{7} \hat{x} + b y_{7} \hat{y} + c z_{7} \hat{z}$	(16o)	C V
$B_{33}$	=	$(y_{8} + z_{8}) a_{1} + (x_{8} + z_{8}) a_{2} + (x_{8} + y_{8}) a_{3}$	=	$a x_{8} \hat{x} + b y_{8} \hat{y} + c z_{8} \hat{z}$	(16o)	C VI
$B_{34}$	=	$- (y_{8} - z_{8}) a_{1} - (x_{8} - z_{8}) a_{2} - (x_{8} + y_{8}) a_{3}$	=	$- a x_{8} \hat{x} - b y_{8} \hat{y} + c z_{8} \hat{z}$	(16o)	C VI
$B_{35}$	=	$(y_{8} - z_{8}) a_{1} - (x_{8} + z_{8}) a_{2} - (x_{8} - y_{8}) a_{3}$	=	$- a x_{8} \hat{x} + b y_{8} \hat{y} - c z_{8} \hat{z}$	(16o)	C VI
$B_{36}$	=	$- (y_{8} + z_{8}) a_{1} + (x_{8} - z_{8}) a_{2} + (x_{8} - y_{8}) a_{3}$	=	$a x_{8} \hat{x} - b y_{8} \hat{y} - c z_{8} \hat{z}$	(16o)	C VI
$B_{37}$	=	$- (y_{8} + z_{8}) a_{1} - (x_{8} + z_{8}) a_{2} - (x_{8} + y_{8}) a_{3}$	=	$- a x_{8} \hat{x} - b y_{8} \hat{y} - c z_{8} \hat{z}$	(16o)	C VI
$B_{38}$	=	$(y_{8} - z_{8}) a_{1} + (x_{8} - z_{8}) a_{2} + (x_{8} + y_{8}) a_{3}$	=	$a x_{8} \hat{x} + b y_{8} \hat{y} - c z_{8} \hat{z}$	(16o)	C VI
$B_{39}$	=	$- (y_{8} - z_{8}) a_{1} + (x_{8} + z_{8}) a_{2} + (x_{8} - y_{8}) a_{3}$	=	$a x_{8} \hat{x} - b y_{8} \hat{y} + c z_{8} \hat{z}$	(16o)	C VI
$B_{40}$	=	$(y_{8} + z_{8}) a_{1} - (x_{8} - z_{8}) a_{2} - (x_{8} - y_{8}) a_{3}$	=	$- a x_{8} \hat{x} + b y_{8} \hat{y} + c z_{8} \hat{z}$	(16o)	C VI
$B_{41}$	=	$(y_{9} + z_{9}) a_{1} + (x_{9} + z_{9}) a_{2} + (x_{9} + y_{9}) a_{3}$	=	$a x_{9} \hat{x} + b y_{9} \hat{y} + c z_{9} \hat{z}$	(16o)	C VII
$B_{42}$	=	$- (y_{9} - z_{9}) a_{1} - (x_{9} - z_{9}) a_{2} - (x_{9} + y_{9}) a_{3}$	=	$- a x_{9} \hat{x} - b y_{9} \hat{y} + c z_{9} \hat{z}$	(16o)	C VII
$B_{43}$	=	$(y_{9} - z_{9}) a_{1} - (x_{9} + z_{9}) a_{2} - (x_{9} - y_{9}) a_{3}$	=	$- a x_{9} \hat{x} + b y_{9} \hat{y} - c z_{9} \hat{z}$	(16o)	C VII
$B_{44}$	=	$- (y_{9} + z_{9}) a_{1} + (x_{9} - z_{9}) a_{2} + (x_{9} - y_{9}) a_{3}$	=	$a x_{9} \hat{x} - b y_{9} \hat{y} - c z_{9} \hat{z}$	(16o)	C VII
$B_{45}$	=	$- (y_{9} + z_{9}) a_{1} - (x_{9} + z_{9}) a_{2} - (x_{9} + y_{9}) a_{3}$	=	$- a x_{9} \hat{x} - b y_{9} \hat{y} - c z_{9} \hat{z}$	(16o)	C VII
$B_{46}$	=	$(y_{9} - z_{9}) a_{1} + (x_{9} - z_{9}) a_{2} + (x_{9} + y_{9}) a_{3}$	=	$a x_{9} \hat{x} + b y_{9} \hat{y} - c z_{9} \hat{z}$	(16o)	C VII
$B_{47}$	=	$- (y_{9} - z_{9}) a_{1} + (x_{9} + z_{9}) a_{2} + (x_{9} - y_{9}) a_{3}$	=	$a x_{9} \hat{x} - b y_{9} \hat{y} + c z_{9} \hat{z}$	(16o)	C VII
$B_{48}$	=	$(y_{9} + z_{9}) a_{1} - (x_{9} - z_{9}) a_{2} - (x_{9} - y_{9}) a_{3}$	=	$- a x_{9} \hat{x} + b y_{9} \hat{y} + c z_{9} \hat{z}$	(16o)	C VII
$B_{49}$	=	$(y_{10} + z_{10}) a_{1} + (x_{10} + z_{10}) a_{2} + (x_{10} + y_{10}) a_{3}$	=	$a x_{10} \hat{x} + b y_{10} \hat{y} + c z_{10} \hat{z}$	(16o)	C VIII
$B_{50}$	=	$- (y_{10} - z_{10}) a_{1} - (x_{10} - z_{10}) a_{2} - (x_{10} + y_{10}) a_{3}$	=	$- a x_{10} \hat{x} - b y_{10} \hat{y} + c z_{10} \hat{z}$	(16o)	C VIII
$B_{51}$	=	$(y_{10} - z_{10}) a_{1} - (x_{10} + z_{10}) a_{2} - (x_{10} - y_{10}) a_{3}$	=	$- a x_{10} \hat{x} + b y_{10} \hat{y} - c z_{10} \hat{z}$	(16o)	C VIII
$B_{52}$	=	$- (y_{10} + z_{10}) a_{1} + (x_{10} - z_{10}) a_{2} + (x_{10} - y_{10}) a_{3}$	=	$a x_{10} \hat{x} - b y_{10} \hat{y} - c z_{10} \hat{z}$	(16o)	C VIII
$B_{53}$	=	$- (y_{10} + z_{10}) a_{1} - (x_{10} + z_{10}) a_{2} - (x_{10} + y_{10}) a_{3}$	=	$- a x_{10} \hat{x} - b y_{10} \hat{y} - c z_{10} \hat{z}$	(16o)	C VIII
$B_{54}$	=	$(y_{10} - z_{10}) a_{1} + (x_{10} - z_{10}) a_{2} + (x_{10} + y_{10}) a_{3}$	=	$a x_{10} \hat{x} + b y_{10} \hat{y} - c z_{10} \hat{z}$	(16o)	C VIII
$B_{55}$	=	$- (y_{10} - z_{10}) a_{1} + (x_{10} + z_{10}) a_{2} + (x_{10} - y_{10}) a_{3}$	=	$a x_{10} \hat{x} - b y_{10} \hat{y} + c z_{10} \hat{z}$	(16o)	C VIII
$B_{56}$	=	$(y_{10} + z_{10}) a_{1} - (x_{10} - z_{10}) a_{2} - (x_{10} - y_{10}) a_{3}$	=	$- a x_{10} \hat{x} + b y_{10} \hat{y} + c z_{10} \hat{z}$	(16o)	C VIII
$B_{57}$	=	$(y_{11} + z_{11}) a_{1} + (x_{11} + z_{11}) a_{2} + (x_{11} + y_{11}) a_{3}$	=	$a x_{11} \hat{x} + b y_{11} \hat{y} + c z_{11} \hat{z}$	(16o)	C IX
$B_{58}$	=	$- (y_{11} - z_{11}) a_{1} - (x_{11} - z_{11}) a_{2} - (x_{11} + y_{11}) a_{3}$	=	$- a x_{11} \hat{x} - b y_{11} \hat{y} + c z_{11} \hat{z}$	(16o)	C IX
$B_{59}$	=	$(y_{11} - z_{11}) a_{1} - (x_{11} + z_{11}) a_{2} - (x_{11} - y_{11}) a_{3}$	=	$- a x_{11} \hat{x} + b y_{11} \hat{y} - c z_{11} \hat{z}$	(16o)	C IX
$B_{60}$	=	$- (y_{11} + z_{11}) a_{1} + (x_{11} - z_{11}) a_{2} + (x_{11} - y_{11}) a_{3}$	=	$a x_{11} \hat{x} - b y_{11} \hat{y} - c z_{11} \hat{z}$	(16o)	C IX
$B_{61}$	=	$- (y_{11} + z_{11}) a_{1} - (x_{11} + z_{11}) a_{2} - (x_{11} + y_{11}) a_{3}$	=	$- a x_{11} \hat{x} - b y_{11} \hat{y} - c z_{11} \hat{z}$	(16o)	C IX
$B_{62}$	=	$(y_{11} - z_{11}) a_{1} + (x_{11} - z_{11}) a_{2} + (x_{11} + y_{11}) a_{3}$	=	$a x_{11} \hat{x} + b y_{11} \hat{y} - c z_{11} \hat{z}$	(16o)	C IX
$B_{63}$	=	$- (y_{11} - z_{11}) a_{1} + (x_{11} + z_{11}) a_{2} + (x_{11} - y_{11}) a_{3}$	=	$a x_{11} \hat{x} - b y_{11} \hat{y} + c z_{11} \hat{z}$	(16o)	C IX
$B_{64}$	=	$(y_{11} + z_{11}) a_{1} - (x_{11} - z_{11}) a_{2} - (x_{11} - y_{11}) a_{3}$	=	$- a x_{11} \hat{x} + b y_{11} \hat{y} + c z_{11} \hat{z}$	(16o)	C IX

Prototype	C $_{60}$ Cs $_{3}$
AFLOW prototype label	A15B_oI128_71_lmn6o_eg-001
ICSD	None
Pearson symbol	oI128
Space group number	71
Space group symbol	$I mmm$
AFLOW prototype command	aflow --proto=A15B_oI128_71_lmn6o_eg-001 --params= $a, b / a, c / a, x_{1}, y_{2}, y_{3}, z_{3}, x_{4}, z_{4}, x_{5}, y_{5}, x_{6}, y_{6}, z_{6}, x_{7}, y_{7}, z_{7}, x_{8}, y_{8}, z_{8}, x_{9}, y_{9}, z_{9}, x_{10}, y_{10}, z_{10}, x_{11}, y_{11}, z_{11}$

Encyclopedia of Crystallographic Prototypes

Orthorhombic Fullerene (Cs $_{3}$ C $_{60}$ ) Structure: A15B_oI128_71_lmn6o_eg-001

Body-centered Orthorhombic primitive vectors

References

Running:

Output:

Encyclopedia of Crystallographic Prototypes

Orthorhombic Fullerene (Cs3​C60​) Structure: A15B_oI128_71_lmn6o_eg-001

Body-centered Orthorhombic primitive vectors

References

Running:

Output:

Orthorhombic Fullerene (Cs $_{3}$ C $_{60}$ ) Structure: A15B_oI128_71_lmn6o_eg-001