FCC C$_{60}$ Buckminsterfullerene Structure: A_cF240_202

Basis vectors

		Lattice coordinates		Cartesian coordinates	Wyckoff position	Atom type
$B_{1}$	=	$(y_{1} + z_{1}) a_{1} - (y_{1} - z_{1}) a_{2} + (y_{1} - z_{1}) a_{3}$	=	$a y_{1} \hat{y} + a z_{1} \hat{z}$	(48h)	C I
$B_{2}$	=	$- (y_{1} - z_{1}) a_{1} + (y_{1} + z_{1}) a_{2} - (y_{1} + z_{1}) a_{3}$	=	$- a y_{1} \hat{y} + a z_{1} \hat{z}$	(48h)	C I
$B_{3}$	=	$(y_{1} - z_{1}) a_{1} - (y_{1} + z_{1}) a_{2} + (y_{1} + z_{1}) a_{3}$	=	$a y_{1} \hat{y} - a z_{1} \hat{z}$	(48h)	C I
$B_{4}$	=	$- (y_{1} + z_{1}) a_{1} + (y_{1} - z_{1}) a_{2} - (y_{1} - z_{1}) a_{3}$	=	$- a y_{1} \hat{y} - a z_{1} \hat{z}$	(48h)	C I
$B_{5}$	=	$(y_{1} - z_{1}) a_{1} + (y_{1} + z_{1}) a_{2} - (y_{1} - z_{1}) a_{3}$	=	$a z_{1} \hat{x} + a y_{1} \hat{z}$	(48h)	C I
$B_{6}$	=	$- (y_{1} + z_{1}) a_{1} - (y_{1} - z_{1}) a_{2} + (y_{1} + z_{1}) a_{3}$	=	$a z_{1} \hat{x} - a y_{1} \hat{z}$	(48h)	C I
$B_{7}$	=	$(y_{1} + z_{1}) a_{1} + (y_{1} - z_{1}) a_{2} - (y_{1} + z_{1}) a_{3}$	=	$- a z_{1} \hat{x} + a y_{1} \hat{z}$	(48h)	C I
$B_{8}$	=	$- (y_{1} - z_{1}) a_{1} - (y_{1} + z_{1}) a_{2} + (y_{1} - z_{1}) a_{3}$	=	$- a z_{1} \hat{x} - a y_{1} \hat{z}$	(48h)	C I
$B_{9}$	=	$- (y_{1} - z_{1}) a_{1} + (y_{1} - z_{1}) a_{2} + (y_{1} + z_{1}) a_{3}$	=	$a y_{1} \hat{x} + a z_{1} \hat{y}$	(48h)	C I
$B_{10}$	=	$(y_{1} + z_{1}) a_{1} - (y_{1} + z_{1}) a_{2} - (y_{1} - z_{1}) a_{3}$	=	$- a y_{1} \hat{x} + a z_{1} \hat{y}$	(48h)	C I
$B_{11}$	=	$- (y_{1} + z_{1}) a_{1} + (y_{1} + z_{1}) a_{2} + (y_{1} - z_{1}) a_{3}$	=	$a y_{1} \hat{x} - a z_{1} \hat{y}$	(48h)	C I
$B_{12}$	=	$(y_{1} - z_{1}) a_{1} - (y_{1} - z_{1}) a_{2} - (y_{1} + z_{1}) a_{3}$	=	$- a y_{1} \hat{x} - a z_{1} \hat{y}$	(48h)	C I
$B_{13}$	=	$(- x_{2} + y_{2} + z_{2}) a_{1} + (x_{2} - y_{2} + z_{2}) a_{2} + (x_{2} + y_{2} - z_{2}) a_{3}$	=	$a x_{2} \hat{x} + a y_{2} \hat{y} + a z_{2} \hat{z}$	(96i)	C II
$B_{14}$	=	$(x_{2} - y_{2} + z_{2}) a_{1} + (- x_{2} + y_{2} + z_{2}) a_{2} - (x_{2} + y_{2} + z_{2}) a_{3}$	=	$- a x_{2} \hat{x} - a y_{2} \hat{y} + a z_{2} \hat{z}$	(96i)	C II
$B_{15}$	=	$(x_{2} + y_{2} - z_{2}) a_{1} - (x_{2} + y_{2} + z_{2}) a_{2} + (- x_{2} + y_{2} + z_{2}) a_{3}$	=	$- a x_{2} \hat{x} + a y_{2} \hat{y} - a z_{2} \hat{z}$	(96i)	C II
$B_{16}$	=	$- (x_{2} + y_{2} + z_{2}) a_{1} + (x_{2} + y_{2} - z_{2}) a_{2} + (x_{2} - y_{2} + z_{2}) a_{3}$	=	$a x_{2} \hat{x} - a y_{2} \hat{y} - a z_{2} \hat{z}$	(96i)	C II
$B_{17}$	=	$(x_{2} + y_{2} - z_{2}) a_{1} + (- x_{2} + y_{2} + z_{2}) a_{2} + (x_{2} - y_{2} + z_{2}) a_{3}$	=	$a z_{2} \hat{x} + a x_{2} \hat{y} + a y_{2} \hat{z}$	(96i)	C II
$B_{18}$	=	$- (x_{2} + y_{2} + z_{2}) a_{1} + (x_{2} - y_{2} + z_{2}) a_{2} + (- x_{2} + y_{2} + z_{2}) a_{3}$	=	$a z_{2} \hat{x} - a x_{2} \hat{y} - a y_{2} \hat{z}$	(96i)	C II
$B_{19}$	=	$(- x_{2} + y_{2} + z_{2}) a_{1} + (x_{2} + y_{2} - z_{2}) a_{2} - (x_{2} + y_{2} + z_{2}) a_{3}$	=	$- a z_{2} \hat{x} - a x_{2} \hat{y} + a y_{2} \hat{z}$	(96i)	C II
$B_{20}$	=	$(x_{2} - y_{2} + z_{2}) a_{1} - (x_{2} + y_{2} + z_{2}) a_{2} + (x_{2} + y_{2} - z_{2}) a_{3}$	=	$- a z_{2} \hat{x} + a x_{2} \hat{y} - a y_{2} \hat{z}$	(96i)	C II
$B_{21}$	=	$(x_{2} - y_{2} + z_{2}) a_{1} + (x_{2} + y_{2} - z_{2}) a_{2} + (- x_{2} + y_{2} + z_{2}) a_{3}$	=	$a y_{2} \hat{x} + a z_{2} \hat{y} + a x_{2} \hat{z}$	(96i)	C II
$B_{22}$	=	$(- x_{2} + y_{2} + z_{2}) a_{1} - (x_{2} + y_{2} + z_{2}) a_{2} + (x_{2} - y_{2} + z_{2}) a_{3}$	=	$- a y_{2} \hat{x} + a z_{2} \hat{y} - a x_{2} \hat{z}$	(96i)	C II
$B_{23}$	=	$- (x_{2} + y_{2} + z_{2}) a_{1} + (- x_{2} + y_{2} + z_{2}) a_{2} + (x_{2} + y_{2} - z_{2}) a_{3}$	=	$a y_{2} \hat{x} - a z_{2} \hat{y} - a x_{2} \hat{z}$	(96i)	C II
$B_{24}$	=	$(x_{2} + y_{2} - z_{2}) a_{1} + (x_{2} - y_{2} + z_{2}) a_{2} - (x_{2} + y_{2} + z_{2}) a_{3}$	=	$- a y_{2} \hat{x} - a z_{2} \hat{y} + a x_{2} \hat{z}$	(96i)	C II
$B_{25}$	=	$(x_{2} - y_{2} - z_{2}) a_{1} - (x_{2} - y_{2} + z_{2}) a_{2} - (x_{2} + y_{2} - z_{2}) a_{3}$	=	$- a x_{2} \hat{x} - a y_{2} \hat{y} - a z_{2} \hat{z}$	(96i)	C II
$B_{26}$	=	$- (x_{2} - y_{2} + z_{2}) a_{1} + (x_{2} - y_{2} - z_{2}) a_{2} + (x_{2} + y_{2} + z_{2}) a_{3}$	=	$a x_{2} \hat{x} + a y_{2} \hat{y} - a z_{2} \hat{z}$	(96i)	C II
$B_{27}$	=	$- (x_{2} + y_{2} - z_{2}) a_{1} + (x_{2} + y_{2} + z_{2}) a_{2} + (x_{2} - y_{2} - z_{2}) a_{3}$	=	$a x_{2} \hat{x} - a y_{2} \hat{y} + a z_{2} \hat{z}$	(96i)	C II
$B_{28}$	=	$(x_{2} + y_{2} + z_{2}) a_{1} - (x_{2} + y_{2} - z_{2}) a_{2} - (x_{2} - y_{2} + z_{2}) a_{3}$	=	$- a x_{2} \hat{x} + a y_{2} \hat{y} + a z_{2} \hat{z}$	(96i)	C II
$B_{29}$	=	$- (x_{2} + y_{2} - z_{2}) a_{1} + (x_{2} - y_{2} - z_{2}) a_{2} - (x_{2} - y_{2} + z_{2}) a_{3}$	=	$- a z_{2} \hat{x} - a x_{2} \hat{y} - a y_{2} \hat{z}$	(96i)	C II
$B_{30}$	=	$(x_{2} + y_{2} + z_{2}) a_{1} - (x_{2} - y_{2} + z_{2}) a_{2} + (x_{2} - y_{2} - z_{2}) a_{3}$	=	$- a z_{2} \hat{x} + a x_{2} \hat{y} + a y_{2} \hat{z}$	(96i)	C II
$B_{31}$	=	$(x_{2} - y_{2} - z_{2}) a_{1} - (x_{2} + y_{2} - z_{2}) a_{2} + (x_{2} + y_{2} + z_{2}) a_{3}$	=	$a z_{2} \hat{x} + a x_{2} \hat{y} - a y_{2} \hat{z}$	(96i)	C II
$B_{32}$	=	$- (x_{2} - y_{2} + z_{2}) a_{1} + (x_{2} + y_{2} + z_{2}) a_{2} - (x_{2} + y_{2} - z_{2}) a_{3}$	=	$a z_{2} \hat{x} - a x_{2} \hat{y} + a y_{2} \hat{z}$	(96i)	C II
$B_{33}$	=	$- (x_{2} - y_{2} + z_{2}) a_{1} - (x_{2} + y_{2} - z_{2}) a_{2} + (x_{2} - y_{2} - z_{2}) a_{3}$	=	$- a y_{2} \hat{x} - a z_{2} \hat{y} - a x_{2} \hat{z}$	(96i)	C II
$B_{34}$	=	$(x_{2} - y_{2} - z_{2}) a_{1} + (x_{2} + y_{2} + z_{2}) a_{2} - (x_{2} - y_{2} + z_{2}) a_{3}$	=	$a y_{2} \hat{x} - a z_{2} \hat{y} + a x_{2} \hat{z}$	(96i)	C II
$B_{35}$	=	$(x_{2} + y_{2} + z_{2}) a_{1} + (x_{2} - y_{2} - z_{2}) a_{2} - (x_{2} + y_{2} - z_{2}) a_{3}$	=	$- a y_{2} \hat{x} + a z_{2} \hat{y} + a x_{2} \hat{z}$	(96i)	C II
$B_{36}$	=	$- (x_{2} + y_{2} - z_{2}) a_{1} - (x_{2} - y_{2} + z_{2}) a_{2} + (x_{2} + y_{2} + z_{2}) a_{3}$	=	$a y_{2} \hat{x} + a z_{2} \hat{y} - a x_{2} \hat{z}$	(96i)	C II
$B_{37}$	=	$(- x_{3} + y_{3} + z_{3}) a_{1} + (x_{3} - y_{3} + z_{3}) a_{2} + (x_{3} + y_{3} - z_{3}) a_{3}$	=	$a x_{3} \hat{x} + a y_{3} \hat{y} + a z_{3} \hat{z}$	(96i)	C III
$B_{38}$	=	$(x_{3} - y_{3} + z_{3}) a_{1} + (- x_{3} + y_{3} + z_{3}) a_{2} - (x_{3} + y_{3} + z_{3}) a_{3}$	=	$- a x_{3} \hat{x} - a y_{3} \hat{y} + a z_{3} \hat{z}$	(96i)	C III
$B_{39}$	=	$(x_{3} + y_{3} - z_{3}) a_{1} - (x_{3} + y_{3} + z_{3}) a_{2} + (- x_{3} + y_{3} + z_{3}) a_{3}$	=	$- a x_{3} \hat{x} + a y_{3} \hat{y} - a z_{3} \hat{z}$	(96i)	C III
$B_{40}$	=	$- (x_{3} + y_{3} + z_{3}) a_{1} + (x_{3} + y_{3} - z_{3}) a_{2} + (x_{3} - y_{3} + z_{3}) a_{3}$	=	$a x_{3} \hat{x} - a y_{3} \hat{y} - a z_{3} \hat{z}$	(96i)	C III
$B_{41}$	=	$(x_{3} + y_{3} - z_{3}) a_{1} + (- x_{3} + y_{3} + z_{3}) a_{2} + (x_{3} - y_{3} + z_{3}) a_{3}$	=	$a z_{3} \hat{x} + a x_{3} \hat{y} + a y_{3} \hat{z}$	(96i)	C III
$B_{42}$	=	$- (x_{3} + y_{3} + z_{3}) a_{1} + (x_{3} - y_{3} + z_{3}) a_{2} + (- x_{3} + y_{3} + z_{3}) a_{3}$	=	$a z_{3} \hat{x} - a x_{3} \hat{y} - a y_{3} \hat{z}$	(96i)	C III
$B_{43}$	=	$(- x_{3} + y_{3} + z_{3}) a_{1} + (x_{3} + y_{3} - z_{3}) a_{2} - (x_{3} + y_{3} + z_{3}) a_{3}$	=	$- a z_{3} \hat{x} - a x_{3} \hat{y} + a y_{3} \hat{z}$	(96i)	C III
$B_{44}$	=	$(x_{3} - y_{3} + z_{3}) a_{1} - (x_{3} + y_{3} + z_{3}) a_{2} + (x_{3} + y_{3} - z_{3}) a_{3}$	=	$- a z_{3} \hat{x} + a x_{3} \hat{y} - a y_{3} \hat{z}$	(96i)	C III
$B_{45}$	=	$(x_{3} - y_{3} + z_{3}) a_{1} + (x_{3} + y_{3} - z_{3}) a_{2} + (- x_{3} + y_{3} + z_{3}) a_{3}$	=	$a y_{3} \hat{x} + a z_{3} \hat{y} + a x_{3} \hat{z}$	(96i)	C III
$B_{46}$	=	$(- x_{3} + y_{3} + z_{3}) a_{1} - (x_{3} + y_{3} + z_{3}) a_{2} + (x_{3} - y_{3} + z_{3}) a_{3}$	=	$- a y_{3} \hat{x} + a z_{3} \hat{y} - a x_{3} \hat{z}$	(96i)	C III
$B_{47}$	=	$- (x_{3} + y_{3} + z_{3}) a_{1} + (- x_{3} + y_{3} + z_{3}) a_{2} + (x_{3} + y_{3} - z_{3}) a_{3}$	=	$a y_{3} \hat{x} - a z_{3} \hat{y} - a x_{3} \hat{z}$	(96i)	C III
$B_{48}$	=	$(x_{3} + y_{3} - z_{3}) a_{1} + (x_{3} - y_{3} + z_{3}) a_{2} - (x_{3} + y_{3} + z_{3}) a_{3}$	=	$- a y_{3} \hat{x} - a z_{3} \hat{y} + a x_{3} \hat{z}$	(96i)	C III
$B_{49}$	=	$(x_{3} - y_{3} - z_{3}) a_{1} - (x_{3} - y_{3} + z_{3}) a_{2} - (x_{3} + y_{3} - z_{3}) a_{3}$	=	$- a x_{3} \hat{x} - a y_{3} \hat{y} - a z_{3} \hat{z}$	(96i)	C III
$B_{50}$	=	$- (x_{3} - y_{3} + z_{3}) a_{1} + (x_{3} - y_{3} - z_{3}) a_{2} + (x_{3} + y_{3} + z_{3}) a_{3}$	=	$a x_{3} \hat{x} + a y_{3} \hat{y} - a z_{3} \hat{z}$	(96i)	C III
$B_{51}$	=	$- (x_{3} + y_{3} - z_{3}) a_{1} + (x_{3} + y_{3} + z_{3}) a_{2} + (x_{3} - y_{3} - z_{3}) a_{3}$	=	$a x_{3} \hat{x} - a y_{3} \hat{y} + a z_{3} \hat{z}$	(96i)	C III
$B_{52}$	=	$(x_{3} + y_{3} + z_{3}) a_{1} - (x_{3} + y_{3} - z_{3}) a_{2} - (x_{3} - y_{3} + z_{3}) a_{3}$	=	$- a x_{3} \hat{x} + a y_{3} \hat{y} + a z_{3} \hat{z}$	(96i)	C III
$B_{53}$	=	$- (x_{3} + y_{3} - z_{3}) a_{1} + (x_{3} - y_{3} - z_{3}) a_{2} - (x_{3} - y_{3} + z_{3}) a_{3}$	=	$- a z_{3} \hat{x} - a x_{3} \hat{y} - a y_{3} \hat{z}$	(96i)	C III
$B_{54}$	=	$(x_{3} + y_{3} + z_{3}) a_{1} - (x_{3} - y_{3} + z_{3}) a_{2} + (x_{3} - y_{3} - z_{3}) a_{3}$	=	$- a z_{3} \hat{x} + a x_{3} \hat{y} + a y_{3} \hat{z}$	(96i)	C III
$B_{55}$	=	$(x_{3} - y_{3} - z_{3}) a_{1} - (x_{3} + y_{3} - z_{3}) a_{2} + (x_{3} + y_{3} + z_{3}) a_{3}$	=	$a z_{3} \hat{x} + a x_{3} \hat{y} - a y_{3} \hat{z}$	(96i)	C III
$B_{56}$	=	$- (x_{3} - y_{3} + z_{3}) a_{1} + (x_{3} + y_{3} + z_{3}) a_{2} - (x_{3} + y_{3} - z_{3}) a_{3}$	=	$a z_{3} \hat{x} - a x_{3} \hat{y} + a y_{3} \hat{z}$	(96i)	C III
$B_{57}$	=	$- (x_{3} - y_{3} + z_{3}) a_{1} - (x_{3} + y_{3} - z_{3}) a_{2} + (x_{3} - y_{3} - z_{3}) a_{3}$	=	$- a y_{3} \hat{x} - a z_{3} \hat{y} - a x_{3} \hat{z}$	(96i)	C III
$B_{58}$	=	$(x_{3} - y_{3} - z_{3}) a_{1} + (x_{3} + y_{3} + z_{3}) a_{2} - (x_{3} - y_{3} + z_{3}) a_{3}$	=	$a y_{3} \hat{x} - a z_{3} \hat{y} + a x_{3} \hat{z}$	(96i)	C III
$B_{59}$	=	$(x_{3} + y_{3} + z_{3}) a_{1} + (x_{3} - y_{3} - z_{3}) a_{2} - (x_{3} + y_{3} - z_{3}) a_{3}$	=	$- a y_{3} \hat{x} + a z_{3} \hat{y} + a x_{3} \hat{z}$	(96i)	C III
$B_{60}$	=	$- (x_{3} + y_{3} - z_{3}) a_{1} - (x_{3} - y_{3} + z_{3}) a_{2} + (x_{3} + y_{3} + z_{3}) a_{3}$	=	$a y_{3} \hat{x} + a z_{3} \hat{y} - a x_{3} \hat{z}$	(96i)	C III

Prototype	C
AFLOW prototype label	A_cF240_202_h2i-001
Mineral name	buckminsterfullerene
ICSD	74523
Pearson symbol	cF240
Space group number	202
Space group symbol	$F m \overline{3}$
AFLOW prototype command	aflow --proto=A_cF240_202_h2i-001 --params= $a, y_{1}, z_{1}, x_{2}, y_{2}, z_{2}, x_{3}, y_{3}, z_{3}$

Encyclopedia of Crystallographic Prototypes

FCC C $_{60}$ Buckminsterfullerene Structure: A_cF240_202_h2i-001

Face-centered Cubic primitive vectors

References

Running:

Output:

Encyclopedia of Crystallographic Prototypes

FCC C60​ Buckminsterfullerene Structure: A_cF240_202_h2i-001

Face-centered Cubic primitive vectors

References

Running:

Output:

FCC C $_{60}$ Buckminsterfullerene Structure: A_cF240_202_h2i-001