OpenWrite::noopen: Cannot open /stmp/mathematica/tmp_553846.txt. Content-type: text/html MGROUPS
Bilbao Crystallographic Server arrow SUBGROUPS Help

The magnetic space groups derived from the Fedorov space group: 104 > 104 (id = 21594)HHHHRead tr. matrix for the supergroup from /tmp/wp-supertrm21594.trnHHHH1.000000 0.000000 0.000000 0.000000 HHHH0.000000 1.000000 0.000000 0.000000 HHHH0.000000 0.000000 1.000000 0.000000 HHHHinverted:HHHH1.000000 0.000000 0.000000 0.000000 HHHH0.000000 1.000000 0.000000 0.000000 HHHH0.000000 0.000000 1.000000 0.000000 HHHHRead tr. matrix for the subgroup from /tmp/wp-subtrm21594.trnHHHH1.000000 0.000000 0.000000 0.000000 HHHH0.000000 1.000000 0.000000 0.000000 HHHH0.000000 0.000000 1.000000 0.000000 HHHHinverted:HHHH1.000000 0.000000 0.000000 0.000000 HHHH0.000000 1.000000 0.000000 0.000000 HHHH0.000000 0.000000 1.000000 0.000000 HHHHRead tr. matrix from /tmp/wp-trm21594.trnHHHH3.000000 0.000000 0.000000 1.000000 HHHH0.000000 3.000000 0.000000 2.000000 HHHH0.000000 0.000000 1.000000 0.000000 HHHHTransformation matrix:HHHH3.000000 0.000000 0.000000 1.000000 HHHH0.000000 3.000000 0.000000 2.000000 HHHH0.000000 0.000000 1.000000 0.000000 HHHHdeterminant: 9.000000(det-ONE=8.000000)HHHHInverted of the transformation matrix:HHHH0.333333 0.000000 0.000000 -0.333333 HHHH0.000000 0.333333 0.000000 -0.666667 HHHH0.000000 0.000000 1.000000 0.000000 HHHHSubgroup generators: 2, general positions: 8HHHH(x,y,z)HHHH(-y,x,z)HHHH(y, -x,z)HHHH(-x, -y,z)HHHH(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHHSubgroup Wyckoff positions:HHHHList of Wyckoff positions:HHHHOrbit No:0HHHHMultiplicity:8HHHHLetter:cHHHH(x,y,z)HHHH(-y,x,z)HHHH(y, -x,z)HHHH(-x, -y,z)HHHH(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHHOrbit No:1HHHHMultiplicity:4HHHHLetter:bHHHH(0.000000, 0.500000,z)HHHH(0.500000, 0.000000,z)HHHH(0.500000, 0.000000, 0.500000 +z)HHHH(0.000000, 0.500000, 0.500000 +z)HHHHOrbit No:2HHHHMultiplicity:2HHHHLetter:aHHHH(0.000000, 0.000000,z)HHHH(0.500000, 0.500000, 0.500000 +z)HHHHtr. matrix:(1.000000 + 3.000000x, 2.000000 + 3.000000y,z)HHHHdet = 9.000000HHHHSupergroup is transformed to unconventional setting.HHHHtake memory for 9 cells.HHHHtr. matrix:(1.000000 + 3.000000x, 2.000000 + 3.000000y,z)HHHHNumber of gen. pos. = 8, det = 9.000000. New number of general positions: 72HHHHchange the basis with the matrix (1.000000 + 3.000000x, 2.000000 + 3.000000y,z)HHHHAfter checking group we obtain 72 elementsHHHH000HHHHBefore expanding:HHHH(x,y,z)HHHH(0.333333 - x, 0.666667 - y,z)HHHH(-y, 0.666667 +x,z)HHHH(0.333333 +y, -x,z)HHHH(0.166667 +x, 0.833333 - y, 0.500000 +z)HHHH(0.500000 - x, 0.166667 +y, 0.500000 +z)HHHH(0.166667 - y, 0.166667 - x, 0.500000 +z)HHHH(0.500000 +y, 0.833333 +x, 0.500000 +z)HHHHAfter expanding general positions: number of cells: 1HHHHNumber of gen. pos. = 0, det = 9.000000. New number of general positions: 0HHHH(x,y,z)HHHH(x, 0.333333 +y,z)HHHH(x, 0.666667 +y,z)HHHH(0.333333 +x,y,z)HHHH(0.333333 +x, 0.333333 +y,z)HHHH(0.333333 +x, 0.666667 +y,z)HHHH(0.666667 +x,y,z)HHHH(0.666667 +x, 0.333333 +y,z)HHHH(0.666667 +x, 0.666667 +y,z)HHHH(0.333333 - x, 0.666667 - y,z)HHHH(0.333333 - x, -y,z)HHHH(0.333333 - x, 0.333333 - y,z)HHHH(0.666667 - x, 0.666667 - y,z)HHHH(0.666667 - x, -y,z)HHHH(0.666667 - x, 0.333333 - y,z)HHHH(-x, 0.666667 - y,z)HHHH(-x, -y,z)HHHH(-x, 0.333333 - y,z)HHHH(-y, 0.666667 +x,z)HHHH(-y,x,z)HHHH(-y, 0.333333 +x,z)HHHH(0.333333 - y, 0.666667 +x,z)HHHH(0.333333 - y,x,z)HHHH(0.333333 - y, 0.333333 +x,z)HHHH(0.666667 - y, 0.666667 +x,z)HHHH(0.666667 - y,x,z)HHHH(0.666667 - y, 0.333333 +x,z)HHHH(0.333333 +y, -x,z)HHHH(0.333333 +y, 0.333333 - x,z)HHHH(0.333333 +y, 0.666667 - x,z)HHHH(0.666667 +y, -x,z)HHHH(0.666667 +y, 0.333333 - x,z)HHHH(0.666667 +y, 0.666667 - x,z)HHHH(y, -x,z)HHHH(y, 0.333333 - x,z)HHHH(y, 0.666667 - x,z)HHHH(0.166667 +x, 0.833333 - y, 0.500000 +z)HHHH(0.166667 +x, 0.166667 - y, 0.500000 +z)HHHH(0.166667 +x, 0.500000 - y, 0.500000 +z)HHHH(0.500000 +x, 0.833333 - y, 0.500000 +z)HHHH(0.500000 +x, 0.166667 - y, 0.500000 +z)HHHH(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH(0.833333 +x, 0.833333 - y, 0.500000 +z)HHHH(0.833333 +x, 0.166667 - y, 0.500000 +z)HHHH(0.833333 +x, 0.500000 - y, 0.500000 +z)HHHH(0.500000 - x, 0.166667 +y, 0.500000 +z)HHHH(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH(0.500000 - x, 0.833333 +y, 0.500000 +z)HHHH(0.833333 - x, 0.166667 +y, 0.500000 +z)HHHH(0.833333 - x, 0.500000 +y, 0.500000 +z)HHHH(0.833333 - x, 0.833333 +y, 0.500000 +z)HHHH(0.166667 - x, 0.166667 +y, 0.500000 +z)HHHH(0.166667 - x, 0.500000 +y, 0.500000 +z)HHHH(0.166667 - x, 0.833333 +y, 0.500000 +z)HHHH(0.166667 - y, 0.166667 - x, 0.500000 +z)HHHH(0.166667 - y, 0.500000 - x, 0.500000 +z)HHHH(0.166667 - y, 0.833333 - x, 0.500000 +z)HHHH(0.500000 - y, 0.166667 - x, 0.500000 +z)HHHH(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH(0.500000 - y, 0.833333 - x, 0.500000 +z)HHHH(0.833333 - y, 0.166667 - x, 0.500000 +z)HHHH(0.833333 - y, 0.500000 - x, 0.500000 +z)HHHH(0.833333 - y, 0.833333 - x, 0.500000 +z)HHHH(0.500000 +y, 0.833333 +x, 0.500000 +z)HHHH(0.500000 +y, 0.166667 +x, 0.500000 +z)HHHH(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHH(0.833333 +y, 0.833333 +x, 0.500000 +z)HHHH(0.833333 +y, 0.166667 +x, 0.500000 +z)HHHH(0.833333 +y, 0.500000 +x, 0.500000 +z)HHHH(0.166667 +y, 0.833333 +x, 0.500000 +z)HHHH(0.166667 +y, 0.166667 +x, 0.500000 +z)HHHH(0.166667 +y, 0.500000 +x, 0.500000 +z)HHHH000HHHHSupergroup is transformed (72 gen.pos.)->return the new group.HHHH(x,y,z)HHHH(x, 0.333333 +y,z)HHHH(x, 0.666667 +y,z)HHHH(0.333333 +x,y,z)HHHH(0.333333 +x, 0.333333 +y,z)HHHH(0.333333 +x, 0.666667 +y,z)HHHH(0.666667 +x,y,z)HHHH(0.666667 +x, 0.333333 +y,z)HHHH(0.666667 +x, 0.666667 +y,z)HHHH(0.333333 - x, 0.666667 - y,z)HHHH(0.333333 - x, -y,z)HHHH(0.333333 - x, 0.333333 - y,z)HHHH(0.666667 - x, 0.666667 - y,z)HHHH(0.666667 - x, -y,z)HHHH(0.666667 - x, 0.333333 - y,z)HHHH(-x, 0.666667 - y,z)HHHH(-x, -y,z)HHHH(-x, 0.333333 - y,z)HHHH(-y, 0.666667 +x,z)HHHH(-y,x,z)HHHH(-y, 0.333333 +x,z)HHHH(0.333333 - y, 0.666667 +x,z)HHHH(0.333333 - y,x,z)HHHH(0.333333 - y, 0.333333 +x,z)HHHH(0.666667 - y, 0.666667 +x,z)HHHH(0.666667 - y,x,z)HHHH(0.666667 - y, 0.333333 +x,z)HHHH(0.333333 +y, -x,z)HHHH(0.333333 +y, 0.333333 - x,z)HHHH(0.333333 +y, 0.666667 - x,z)HHHH(0.666667 +y, -x,z)HHHH(0.666667 +y, 0.333333 - x,z)HHHH(0.666667 +y, 0.666667 - x,z)HHHH(y, -x,z)HHHH(y, 0.333333 - x,z)HHHH(y, 0.666667 - x,z)HHHH(0.166667 +x, 0.833333 - y, 0.500000 +z)HHHH(0.166667 +x, 0.166667 - y, 0.500000 +z)HHHH(0.166667 +x, 0.500000 - y, 0.500000 +z)HHHH(0.500000 +x, 0.833333 - y, 0.500000 +z)HHHH(0.500000 +x, 0.166667 - y, 0.500000 +z)HHHH(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH(0.833333 +x, 0.833333 - y, 0.500000 +z)HHHH(0.833333 +x, 0.166667 - y, 0.500000 +z)HHHH(0.833333 +x, 0.500000 - y, 0.500000 +z)HHHH(0.500000 - x, 0.166667 +y, 0.500000 +z)HHHH(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH(0.500000 - x, 0.833333 +y, 0.500000 +z)HHHH(0.833333 - x, 0.166667 +y, 0.500000 +z)HHHH(0.833333 - x, 0.500000 +y, 0.500000 +z)HHHH(0.833333 - x, 0.833333 +y, 0.500000 +z)HHHH(0.166667 - x, 0.166667 +y, 0.500000 +z)HHHH(0.166667 - x, 0.500000 +y, 0.500000 +z)HHHH(0.166667 - x, 0.833333 +y, 0.500000 +z)HHHH(0.166667 - y, 0.166667 - x, 0.500000 +z)HHHH(0.166667 - y, 0.500000 - x, 0.500000 +z)HHHH(0.166667 - y, 0.833333 - x, 0.500000 +z)HHHH(0.500000 - y, 0.166667 - x, 0.500000 +z)HHHH(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH(0.500000 - y, 0.833333 - x, 0.500000 +z)HHHH(0.833333 - y, 0.166667 - x, 0.500000 +z)HHHH(0.833333 - y, 0.500000 - x, 0.500000 +z)HHHH(0.833333 - y, 0.833333 - x, 0.500000 +z)HHHH(0.500000 +y, 0.833333 +x, 0.500000 +z)HHHH(0.500000 +y, 0.166667 +x, 0.500000 +z)HHHH(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHH(0.833333 +y, 0.833333 +x, 0.500000 +z)HHHH(0.833333 +y, 0.166667 +x, 0.500000 +z)HHHH(0.833333 +y, 0.500000 +x, 0.500000 +z)HHHH(0.166667 +y, 0.833333 +x, 0.500000 +z)HHHH(0.166667 +y, 0.166667 +x, 0.500000 +z)HHHH(0.166667 +y, 0.500000 +x, 0.500000 +z)HHHHSupergroup is transformed to the subgroup basis. there are 72 general positionsHHHHSupergroup generators: xxx, general positions:72HHHHSubgroup basis:HHHH(x,y,z)HHHH(x, 0.333333 +y,z)HHHH(x, 0.666667 +y,z)HHHH(0.333333 +x,y,z)HHHH(0.333333 +x, 0.333333 +y,z)HHHH(0.333333 +x, 0.666667 +y,z)HHHH(0.666667 +x,y,z)HHHH(0.666667 +x, 0.333333 +y,z)HHHH(0.666667 +x, 0.666667 +y,z)HHHH(0.333333 - x, 0.666667 - y,z)HHHH(0.333333 - x, -y,z)HHHH(0.333333 - x, 0.333333 - y,z)HHHH(0.666667 - x, 0.666667 - y,z)HHHH(0.666667 - x, -y,z)HHHH(0.666667 - x, 0.333333 - y,z)HHHH(-x, 0.666667 - y,z)HHHH(-x, -y,z)HHHH(-x, 0.333333 - y,z)HHHH(-y, 0.666667 +x,z)HHHH(-y,x,z)HHHH(-y, 0.333333 +x,z)HHHH(0.333333 - y, 0.666667 +x,z)HHHH(0.333333 - y,x,z)HHHH(0.333333 - y, 0.333333 +x,z)HHHH(0.666667 - y, 0.666667 +x,z)HHHH(0.666667 - y,x,z)HHHH(0.666667 - y, 0.333333 +x,z)HHHH(0.333333 +y, -x,z)HHHH(0.333333 +y, 0.333333 - x,z)HHHH(0.333333 +y, 0.666667 - x,z)HHHH(0.666667 +y, -x,z)HHHH(0.666667 +y, 0.333333 - x,z)HHHH(0.666667 +y, 0.666667 - x,z)HHHH(y, -x,z)HHHH(y, 0.333333 - x,z)HHHH(y, 0.666667 - x,z)HHHH(0.166667 +x, 0.833333 - y, 0.500000 +z)HHHH(0.166667 +x, 0.166667 - y, 0.500000 +z)HHHH(0.166667 +x, 0.500000 - y, 0.500000 +z)HHHH(0.500000 +x, 0.833333 - y, 0.500000 +z)HHHH(0.500000 +x, 0.166667 - y, 0.500000 +z)HHHH(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH(0.833333 +x, 0.833333 - y, 0.500000 +z)HHHH(0.833333 +x, 0.166667 - y, 0.500000 +z)HHHH(0.833333 +x, 0.500000 - y, 0.500000 +z)HHHH(0.500000 - x, 0.166667 +y, 0.500000 +z)HHHH(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH(0.500000 - x, 0.833333 +y, 0.500000 +z)HHHH(0.833333 - x, 0.166667 +y, 0.500000 +z)HHHH(0.833333 - x, 0.500000 +y, 0.500000 +z)HHHH(0.833333 - x, 0.833333 +y, 0.500000 +z)HHHH(0.166667 - x, 0.166667 +y, 0.500000 +z)HHHH(0.166667 - x, 0.500000 +y, 0.500000 +z)HHHH(0.166667 - x, 0.833333 +y, 0.500000 +z)HHHH(0.166667 - y, 0.166667 - x, 0.500000 +z)HHHH(0.166667 - y, 0.500000 - x, 0.500000 +z)HHHH(0.166667 - y, 0.833333 - x, 0.500000 +z)HHHH(0.500000 - y, 0.166667 - x, 0.500000 +z)HHHH(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH(0.500000 - y, 0.833333 - x, 0.500000 +z)HHHH(0.833333 - y, 0.166667 - x, 0.500000 +z)HHHH(0.833333 - y, 0.500000 - x, 0.500000 +z)HHHH(0.833333 - y, 0.833333 - x, 0.500000 +z)HHHH(0.500000 +y, 0.833333 +x, 0.500000 +z)HHHH(0.500000 +y, 0.166667 +x, 0.500000 +z)HHHH(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHH(0.833333 +y, 0.833333 +x, 0.500000 +z)HHHH(0.833333 +y, 0.166667 +x, 0.500000 +z)HHHH(0.833333 +y, 0.500000 +x, 0.500000 +z)HHHH(0.166667 +y, 0.833333 +x, 0.500000 +z)HHHH(0.166667 +y, 0.166667 +x, 0.500000 +z)HHHH(0.166667 +y, 0.500000 +x, 0.500000 +z)HHHHnumber of cells: 1HHHH000HHHHSupergroup Wyckoff positions:HHHHOwn basis.HHHHList of Wyckoff positions:HHHHOrbit No:0HHHHMultiplicity:8HHHHLetter:cHHHH(x,y,z)HHHHOrbit No:1HHHHMultiplicity:4HHHHLetter:bHHHH(0.000000, 0.500000,z)HHHHOrbit No:2HHHHMultiplicity:2HHHHLetter:aHHHH(0.000000, 0.000000,z)HHHHSubgroup basis.HHHHList of Wyckoff positions:HHHHOrbit No:0HHHHMultiplicity:8HHHHLetter:cHHHH(1.000000 + 0.333333 (-1.000000 +x), 1.000000 + 0.333333 (-2.000000 +y),z)HHHHOrbit No:1HHHHMultiplicity:4HHHHLetter:bHHHH(0.666667, 0.500000,z)HHHHOrbit No:2HHHHMultiplicity:2HHHHLetter:aHHHH(0.666667, 0.333333,z)HHHHindex : 9HHHHSplitting of the general position of the supergroup...HHHHThe general position splits into 9 suborbits.HHHH&Splitting of all positions:HHHHGGGG8c: 8c 8c 8c 8c 8c 8c 8c 8c 8cHHHH4b: 8c 8c 8c 4b 8cHHHH2a: 8c 8c 2aHHHH&Splitting of Wyckoff position 8c: 8c 8c 8c 8c 8c 8c 8c 8c 8cHHHHOrbit 0:HHHH[0]TTTT(x,y,z)TTTT(0.333333 (-1.000000 +x), 0.333333 (-2.000000 +y),z)TTTT8cTTTT(x,y,z)HHHH[1]TTTT(-1.000000 - x, 1.000000 - y,z)TTTT(0.333333 (-2.000000 - x), 0.333333 (-1.000000 - y),z)TTTT8cTTTT(-x, -y,z)HHHH[2]TTTT(-y, 1.000000 +x,z)TTTT(0.333333 (-1.000000 - y), 0.333333 (-1.000000 +x),z)TTTT8cTTTT(-y,x,z)HHHH[3]TTTT(-1.000000 +y, -x,z)TTTT(0.333333 (-2.000000 +y), 0.333333 (-2.000000 - x),z)TTTT8cTTTT(y, -x,z)HHHH[4]TTTT(-1.500000 +x, -0.500000 - y, 0.500000 +z)TTTT(0.166667 (-5.000000 + 2.000000x), 0.166667 (-5.000000 - 2.000000y), 0.500000 +z)TTTT8cTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH[5]TTTT(0.500000 - x, 1.500000 +y, 0.500000 +z)TTTT(0.166667 (-1.000000 - 2.000000x), 0.166667 (-1.000000 + 2.000000y), 0.500000 +z)TTTT8cTTTT(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH[6]TTTT(-1.500000 - y, 1.500000 - x, 0.500000 +z)TTTT(0.166667 (-5.000000 - 2.000000y), 0.166667 (-1.000000 - 2.000000x), 0.500000 +z)TTTT8cTTTT(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH[7]TTTT(0.500000 +y, -0.500000 +x, 0.500000 +z)TTTT(0.166667 (-1.000000 + 2.000000y), 0.166667 (-5.000000 + 2.000000x), 0.500000 +z)TTTT8cTTTT(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHHOrbit 1:HHHH[0]TTTT(x, 1.000000 +y,z)TTTT(0.333333 (-1.000000 +x), 0.333333 (-1.000000 +y),z)TTTT8cTTTT(x,y,z)HHHH[1]TTTT(-1.000000 - x, -y,z)TTTT(0.333333 (-2.000000 - x), 0.333333 (-2.000000 - y),z)TTTT8cTTTT(-x, -y,z)HHHH[2]TTTT(-1.000000 - y, 1.000000 +x,z)TTTT(0.333333 (-2.000000 - y), 0.333333 (-1.000000 +x),z)TTTT8cTTTT(-y,x,z)HHHH[3]TTTT(y, -x,z)TTTT(0.333333 (-1.000000 +y), 0.333333 (-2.000000 - x),z)TTTT8cTTTT(y, -x,z)HHHH[4]TTTT(-1.500000 +x, 1.500000 - y, 0.500000 +z)TTTT(0.166667 (-5.000000 + 2.000000x), 0.166667 (-1.000000 - 2.000000y), 0.500000 +z)TTTT8cTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH[5]TTTT(0.500000 - x, -0.500000 +y, 0.500000 +z)TTTT(0.166667 (-1.000000 - 2.000000x), 0.166667 (-5.000000 + 2.000000y), 0.500000 +z)TTTT8cTTTT(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH[6]TTTT(0.500000 - y, 1.500000 - x, 0.500000 +z)TTTT(0.166667 (-1.000000 - 2.000000y), 0.166667 (-1.000000 - 2.000000x), 0.500000 +z)TTTT8cTTTT(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH[7]TTTT(-1.500000 +y, -0.500000 +x, 0.500000 +z)TTTT(0.166667 (-5.000000 + 2.000000y), 0.166667 (-5.000000 + 2.000000x), 0.500000 +z)TTTT8cTTTT(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHHOrbit 2:HHHH[0]TTTT(x, -1.000000 +y,z)TTTT(0.333333 (-1.000000 +x), 0.333333 (-3.000000 +y),z)TTTT8cTTTT(x,y,z)HHHH[1]TTTT(-1.000000 - x, -1.000000 - y,z)TTTT(0.333333 (-2.000000 - x), -1.000000 - 0.333333y,z)TTTT8cTTTT(-x, -y,z)HHHH[2]TTTT(-2.000000 - y, 1.000000 +x,z)TTTT(-1.000000 - 0.333333y, 0.333333 (-1.000000 +x),z)TTTT8cTTTT(-y,x,z)HHHH[3]TTTT(-2.000000 +y, -x,z)TTTT(0.333333 (-3.000000 +y), 0.333333 (-2.000000 - x),z)TTTT8cTTTT(y, -x,z)HHHH[4]TTTT(-1.500000 +x, 0.500000 - y, 0.500000 +z)TTTT(0.166667 (-5.000000 + 2.000000x), 0.166667 (-3.000000 - 2.000000y), 0.500000 +z)TTTT8cTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH[5]TTTT(0.500000 - x, 0.500000 +y, 0.500000 +z)TTTT(0.166667 (-1.000000 - 2.000000x), 0.166667 (-3.000000 + 2.000000y), 0.500000 +z)TTTT8cTTTT(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH[6]TTTT(-0.500000 - y, 1.500000 - x, 0.500000 +z)TTTT(0.166667 (-3.000000 - 2.000000y), 0.166667 (-1.000000 - 2.000000x), 0.500000 +z)TTTT8cTTTT(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH[7]TTTT(-0.500000 +y, -0.500000 +x, 0.500000 +z)TTTT(0.166667 (-3.000000 + 2.000000y), 0.166667 (-5.000000 + 2.000000x), 0.500000 +z)TTTT8cTTTT(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHHOrbit 3:HHHH[0]TTTT(-2.000000 +x,y,z)TTTT(0.333333 (-3.000000 +x), 0.333333 (-2.000000 +y),z)TTTT8cTTTT(x,y,z)HHHH[1]TTTT(-2.000000 - x, 1.000000 - y,z)TTTT(-1.000000 - 0.333333x, 0.333333 (-1.000000 - y),z)TTTT8cTTTT(-x, -y,z)HHHH[2]TTTT(-y, -1.000000 +x,z)TTTT(0.333333 (-1.000000 - y), 0.333333 (-3.000000 +x),z)TTTT8cTTTT(-y,x,z)HHHH[3]TTTT(-1.000000 +y, -1.000000 - x,z)TTTT(0.333333 (-2.000000 +y), -1.000000 - 0.333333x,z)TTTT8cTTTT(y, -x,z)HHHH[4]TTTT(-0.500000 +x, -0.500000 - y, 0.500000 +z)TTTT(0.166667 (-3.000000 + 2.000000x), 0.166667 (-5.000000 - 2.000000y), 0.500000 +z)TTTT8cTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH[5]TTTT(-0.500000 - x, 1.500000 +y, 0.500000 +z)TTTT(0.166667 (-3.000000 - 2.000000x), 0.166667 (-1.000000 + 2.000000y), 0.500000 +z)TTTT8cTTTT(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH[6]TTTT(-1.500000 - y, 0.500000 - x, 0.500000 +z)TTTT(0.166667 (-5.000000 - 2.000000y), 0.166667 (-3.000000 - 2.000000x), 0.500000 +z)TTTT8cTTTT(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH[7]TTTT(0.500000 +y, 0.500000 +x, 0.500000 +z)TTTT(0.166667 (-1.000000 + 2.000000y), 0.166667 (-3.000000 + 2.000000x), 0.500000 +z)TTTT8cTTTT(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHHOrbit 4:HHHH[0]TTTT(-2.000000 +x, 1.000000 +y,z)TTTT(0.333333 (-3.000000 +x), 0.333333 (-1.000000 +y),z)TTTT8cTTTT(x,y,z)HHHH[1]TTTT(-2.000000 - x, -y,z)TTTT(-1.000000 - 0.333333x, 0.333333 (-2.000000 - y),z)TTTT8cTTTT(-x, -y,z)HHHH[2]TTTT(-1.000000 - y, -1.000000 +x,z)TTTT(0.333333 (-2.000000 - y), 0.333333 (-3.000000 +x),z)TTTT8cTTTT(-y,x,z)HHHH[3]TTTT(y, -1.000000 - x,z)TTTT(0.333333 (-1.000000 +y), -1.000000 - 0.333333x,z)TTTT8cTTTT(y, -x,z)HHHH[4]TTTT(-0.500000 +x, 1.500000 - y, 0.500000 +z)TTTT(0.166667 (-3.000000 + 2.000000x), 0.166667 (-1.000000 - 2.000000y), 0.500000 +z)TTTT8cTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH[5]TTTT(-0.500000 - x, -0.500000 +y, 0.500000 +z)TTTT(0.166667 (-3.000000 - 2.000000x), 0.166667 (-5.000000 + 2.000000y), 0.500000 +z)TTTT8cTTTT(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH[6]TTTT(0.500000 - y, 0.500000 - x, 0.500000 +z)TTTT(0.166667 (-1.000000 - 2.000000y), 0.166667 (-3.000000 - 2.000000x), 0.500000 +z)TTTT8cTTTT(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH[7]TTTT(-1.500000 +y, 0.500000 +x, 0.500000 +z)TTTT(0.166667 (-5.000000 + 2.000000y), 0.166667 (-3.000000 + 2.000000x), 0.500000 +z)TTTT8cTTTT(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHHOrbit 5:HHHH[0]TTTT(-2.000000 +x, -1.000000 +y,z)TTTT(0.333333 (-3.000000 +x), 0.333333 (-3.000000 +y),z)TTTT8cTTTT(x,y,z)HHHH[1]TTTT(-2.000000 - x, -1.000000 - y,z)TTTT(-1.000000 - 0.333333x, -1.000000 - 0.333333y,z)TTTT8cTTTT(-x, -y,z)HHHH[2]TTTT(-2.000000 - y, -1.000000 +x,z)TTTT(-1.000000 - 0.333333y, 0.333333 (-3.000000 +x),z)TTTT8cTTTT(-y,x,z)HHHH[3]TTTT(-2.000000 +y, -1.000000 - x,z)TTTT(0.333333 (-3.000000 +y), -1.000000 - 0.333333x,z)TTTT8cTTTT(y, -x,z)HHHH[4]TTTT(-0.500000 +x, 0.500000 - y, 0.500000 +z)TTTT(0.166667 (-3.000000 + 2.000000x), 0.166667 (-3.000000 - 2.000000y), 0.500000 +z)TTTT8cTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH[5]TTTT(-0.500000 - x, 0.500000 +y, 0.500000 +z)TTTT(0.166667 (-3.000000 - 2.000000x), 0.166667 (-3.000000 + 2.000000y), 0.500000 +z)TTTT8cTTTT(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH[6]TTTT(-0.500000 - y, 0.500000 - x, 0.500000 +z)TTTT(0.166667 (-3.000000 - 2.000000y), 0.166667 (-3.000000 - 2.000000x), 0.500000 +z)TTTT8cTTTT(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH[7]TTTT(-0.500000 +y, 0.500000 +x, 0.500000 +z)TTTT(0.166667 (-3.000000 + 2.000000y), 0.166667 (-3.000000 + 2.000000x), 0.500000 +z)TTTT8cTTTT(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHHOrbit 6:HHHH[0]TTTT(-1.000000 +x,y,z)TTTT(0.333333 (-2.000000 +x), 0.333333 (-2.000000 +y),z)TTTT8cTTTT(x,y,z)HHHH[1]TTTT(-x, 1.000000 - y,z)TTTT(0.333333 (-1.000000 - x), 0.333333 (-1.000000 - y),z)TTTT8cTTTT(-x, -y,z)HHHH[2]TTTT(-y,x,z)TTTT(0.333333 (-1.000000 - y), 0.333333 (-2.000000 +x),z)TTTT8cTTTT(-y,x,z)HHHH[3]TTTT(-1.000000 +y, 1.000000 - x,z)TTTT(0.333333 (-2.000000 +y), 0.333333 (-1.000000 - x),z)TTTT8cTTTT(y, -x,z)HHHH[4]TTTT(0.500000 +x, -0.500000 - y, 0.500000 +z)TTTT(0.166667 (-1.000000 + 2.000000x), 0.166667 (-5.000000 - 2.000000y), 0.500000 +z)TTTT8cTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH[5]TTTT(-1.500000 - x, 1.500000 +y, 0.500000 +z)TTTT(0.166667 (-5.000000 - 2.000000x), 0.166667 (-1.000000 + 2.000000y), 0.500000 +z)TTTT8cTTTT(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH[6]TTTT(-1.500000 - y, -0.500000 - x, 0.500000 +z)TTTT(0.166667 (-5.000000 - 2.000000y), 0.166667 (-5.000000 - 2.000000x), 0.500000 +z)TTTT8cTTTT(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH[7]TTTT(0.500000 +y, 1.500000 +x, 0.500000 +z)TTTT(0.166667 (-1.000000 + 2.000000y), 0.166667 (-1.000000 + 2.000000x), 0.500000 +z)TTTT8cTTTT(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHHOrbit 7:HHHH[0]TTTT(-1.000000 +x, 1.000000 +y,z)TTTT(0.333333 (-2.000000 +x), 0.333333 (-1.000000 +y),z)TTTT8cTTTT(x,y,z)HHHH[1]TTTT(-x, -y,z)TTTT(0.333333 (-1.000000 - x), 0.333333 (-2.000000 - y),z)TTTT8cTTTT(-x, -y,z)HHHH[2]TTTT(-1.000000 - y,x,z)TTTT(0.333333 (-2.000000 - y), 0.333333 (-2.000000 +x),z)TTTT8cTTTT(-y,x,z)HHHH[3]TTTT(y, 1.000000 - x,z)TTTT(0.333333 (-1.000000 +y), 0.333333 (-1.000000 - x),z)TTTT8cTTTT(y, -x,z)HHHH[4]TTTT(0.500000 +x, 1.500000 - y, 0.500000 +z)TTTT(0.166667 (-1.000000 + 2.000000x), 0.166667 (-1.000000 - 2.000000y), 0.500000 +z)TTTT8cTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH[5]TTTT(-1.500000 - x, -0.500000 +y, 0.500000 +z)TTTT(0.166667 (-5.000000 - 2.000000x), 0.166667 (-5.000000 + 2.000000y), 0.500000 +z)TTTT8cTTTT(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH[6]TTTT(0.500000 - y, -0.500000 - x, 0.500000 +z)TTTT(0.166667 (-1.000000 - 2.000000y), 0.166667 (-5.000000 - 2.000000x), 0.500000 +z)TTTT8cTTTT(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH[7]TTTT(-1.500000 +y, 1.500000 +x, 0.500000 +z)TTTT(0.166667 (-5.000000 + 2.000000y), 0.166667 (-1.000000 + 2.000000x), 0.500000 +z)TTTT8cTTTT(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHHOrbit 8:HHHH[0]TTTT(-1.000000 +x, -1.000000 +y,z)TTTT(0.333333 (-2.000000 +x), 0.333333 (-3.000000 +y),z)TTTT8cTTTT(x,y,z)HHHH[1]TTTT(-x, -1.000000 - y,z)TTTT(0.333333 (-1.000000 - x), -1.000000 - 0.333333y,z)TTTT8cTTTT(-x, -y,z)HHHH[2]TTTT(-2.000000 - y,x,z)TTTT(-1.000000 - 0.333333y, 0.333333 (-2.000000 +x),z)TTTT8cTTTT(-y,x,z)HHHH[3]TTTT(-2.000000 +y, 1.000000 - x,z)TTTT(0.333333 (-3.000000 +y), 0.333333 (-1.000000 - x),z)TTTT8cTTTT(y, -x,z)HHHH[4]TTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)TTTT(0.166667 (-1.000000 + 2.000000x), 0.166667 (-3.000000 - 2.000000y), 0.500000 +z)TTTT8cTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH[5]TTTT(-1.500000 - x, 0.500000 +y, 0.500000 +z)TTTT(0.166667 (-5.000000 - 2.000000x), 0.166667 (-3.000000 + 2.000000y), 0.500000 +z)TTTT8cTTTT(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH[6]TTTT(-0.500000 - y, -0.500000 - x, 0.500000 +z)TTTT(0.166667 (-3.000000 - 2.000000y), 0.166667 (-5.000000 - 2.000000x), 0.500000 +z)TTTT8cTTTT(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH[7]TTTT(-0.500000 +y, 1.500000 +x, 0.500000 +z)TTTT(0.166667 (-3.000000 + 2.000000y), 0.166667 (-1.000000 + 2.000000x), 0.500000 +z)TTTT8cTTTT(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHHGGGG$Splitting of Wyckoff position 4b: 8c 8c 8c 4b 8cHHHHOrbit 0:HHHH[0]TTTT(0.000000, 0.500000,z)TTTT(-0.333333, -0.500000,z)TTTT8cTTTT(x,y,z)HHHH[1]TTTT(-1.000000, 0.500000,z)TTTT(-0.666667, -0.500000,z)TTTT8cTTTT(-x, -y,z)HHHH[2]TTTT(-0.500000, 1.000000,z)TTTT(-0.500000, -0.333333,z)TTTT8cTTTT(-y,x,z)HHHH[3]TTTT(-0.500000, 0.000000,z)TTTT(-0.500000, -0.666667,z)TTTT8cTTTT(y, -x,z)HHHH[4]TTTT(-1.500000, -1.000000, 0.500000 +z)TTTT(-0.833333, -1.000000, 0.500000 +z)TTTT8cTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH[5]TTTT(0.500000, -1.000000, 0.500000 +z)TTTT(-0.166667, -1.000000, 0.500000 +z)TTTT8cTTTT(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH[6]TTTT(-2.000000, 1.500000, 0.500000 +z)TTTT(-1.000000, -0.166667, 0.500000 +z)TTTT8cTTTT(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH[7]TTTT(-2.000000, -0.500000, 0.500000 +z)TTTT(-1.000000, -0.833333, 0.500000 +z)TTTT8cTTTT(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHHOrbit 1:HHHH[0]TTTT(0.000000, 1.500000,z)TTTT(-0.333333, -0.166667,z)TTTT8cTTTT(x,y,z)HHHH[1]TTTT(-1.000000, -0.500000,z)TTTT(-0.666667, -0.833333,z)TTTT8cTTTT(-x, -y,z)HHHH[2]TTTT(-1.500000, 1.000000,z)TTTT(-0.833333, -0.333333,z)TTTT8cTTTT(-y,x,z)HHHH[3]TTTT(0.500000, 0.000000,z)TTTT(-0.166667, -0.666667,z)TTTT8cTTTT(y, -x,z)HHHH[4]TTTT(-1.500000, 1.000000, 0.500000 +z)TTTT(-0.833333, -0.333333, 0.500000 +z)TTTT8cTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH[5]TTTT(0.500000, 0.000000, 0.500000 +z)TTTT(-0.166667, -0.666667, 0.500000 +z)TTTT8cTTTT(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH[6]TTTT(0.000000, 1.500000, 0.500000 +z)TTTT(-0.333333, -0.166667, 0.500000 +z)TTTT8cTTTT(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH[7]TTTT(-1.000000, -0.500000, 0.500000 +z)TTTT(-0.666667, -0.833333, 0.500000 +z)TTTT8cTTTT(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHHOrbit 2:HHHH[0]TTTT(0.000000, -0.500000,z)TTTT(-0.333333, -0.833333,z)TTTT8cTTTT(x,y,z)HHHH[1]TTTT(-1.000000, 1.500000,z)TTTT(-0.666667, -0.166667,z)TTTT8cTTTT(-x, -y,z)HHHH[2]TTTT(0.500000, 1.000000,z)TTTT(-0.166667, -0.333333,z)TTTT8cTTTT(-y,x,z)HHHH[3]TTTT(-1.500000, 0.000000,z)TTTT(-0.833333, -0.666667,z)TTTT8cTTTT(y, -x,z)HHHH[4]TTTT(-1.500000, 0.000000, 0.500000 +z)TTTT(-0.833333, -0.666667, 0.500000 +z)TTTT8cTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH[5]TTTT(0.500000, 1.000000, 0.500000 +z)TTTT(-0.166667, -0.333333, 0.500000 +z)TTTT8cTTTT(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH[6]TTTT(-1.000000, 1.500000, 0.500000 +z)TTTT(-0.666667, -0.166667, 0.500000 +z)TTTT8cTTTT(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH[7]TTTT(0.000000, -0.500000, 0.500000 +z)TTTT(-0.333333, -0.833333, 0.500000 +z)TTTT8cTTTT(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHHOrbit 3:HHHH[0]TTTT(-2.000000, 0.500000,z)TTTT(-1.000000, -0.500000,z)TTTT4bTTTT(0.000000, 0.500000,z)HHHH[1]TTTT(-0.500000, -1.000000,z)TTTT(-0.500000, -1.000000,z)TTTT4bTTTT(0.500000, 0.000000,z)HHHH[2]TTTT(-0.500000, -1.000000, 0.500000 +z)TTTT(-0.500000, -1.000000, 0.500000 +z)TTTT4bTTTT(0.500000, 0.000000, 0.500000 +z)HHHH[3]TTTT(-2.000000, 0.500000, 0.500000 +z)TTTT(-1.000000, -0.500000, 0.500000 +z)TTTT4bTTTT(0.000000, 0.500000, 0.500000 +z)HHHHOrbit 4:HHHH[0]TTTT(-2.000000, 1.500000,z)TTTT(-1.000000, -0.166667,z)TTTT8cTTTT(x,y,z)HHHH[1]TTTT(-2.000000, -0.500000,z)TTTT(-1.000000, -0.833333,z)TTTT8cTTTT(-x, -y,z)HHHH[2]TTTT(-1.500000, -1.000000,z)TTTT(-0.833333, -1.000000,z)TTTT8cTTTT(-y,x,z)HHHH[3]TTTT(0.500000, -1.000000,z)TTTT(-0.166667, -1.000000,z)TTTT8cTTTT(y, -x,z)HHHH[4]TTTT(-0.500000, 1.000000, 0.500000 +z)TTTT(-0.500000, -0.333333, 0.500000 +z)TTTT8cTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH[5]TTTT(-0.500000, 0.000000, 0.500000 +z)TTTT(-0.500000, -0.666667, 0.500000 +z)TTTT8cTTTT(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH[6]TTTT(0.000000, 0.500000, 0.500000 +z)TTTT(-0.333333, -0.500000, 0.500000 +z)TTTT8cTTTT(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH[7]TTTT(-1.000000, 0.500000, 0.500000 +z)TTTT(-0.666667, -0.500000, 0.500000 +z)TTTT8cTTTT(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHHGGGG$Splitting of Wyckoff position 2a: 8c 8c 2aHHHHOrbit 0:HHHH[0]TTTT(0.000000, 0.000000,z)TTTT(-0.333333, -0.666667,z)TTTT8cTTTT(x,y,z)HHHH[1]TTTT(-1.000000, 1.000000,z)TTTT(-0.666667, -0.333333,z)TTTT8cTTTT(-x, -y,z)HHHH[2]TTTT(0.000000, 1.000000,z)TTTT(-0.333333, -0.333333,z)TTTT8cTTTT(-y,x,z)HHHH[3]TTTT(-1.000000, 0.000000,z)TTTT(-0.666667, -0.666667,z)TTTT8cTTTT(y, -x,z)HHHH[4]TTTT(-1.500000, -0.500000, 0.500000 +z)TTTT(-0.833333, -0.833333, 0.500000 +z)TTTT8cTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH[5]TTTT(0.500000, 1.500000, 0.500000 +z)TTTT(-0.166667, -0.166667, 0.500000 +z)TTTT8cTTTT(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH[6]TTTT(-1.500000, 1.500000, 0.500000 +z)TTTT(-0.833333, -0.166667, 0.500000 +z)TTTT8cTTTT(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH[7]TTTT(0.500000, -0.500000, 0.500000 +z)TTTT(-0.166667, -0.833333, 0.500000 +z)TTTT8cTTTT(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHHOrbit 1:HHHH[0]TTTT(0.000000, -1.000000,z)TTTT(-0.333333, -1.000000,z)TTTT8cTTTT(x,y,z)HHHH[1]TTTT(-1.000000, -1.000000,z)TTTT(-0.666667, -1.000000,z)TTTT8cTTTT(-x, -y,z)HHHH[2]TTTT(-2.000000, 1.000000,z)TTTT(-1.000000, -0.333333,z)TTTT8cTTTT(-y,x,z)HHHH[3]TTTT(-2.000000, 0.000000,z)TTTT(-1.000000, -0.666667,z)TTTT8cTTTT(y, -x,z)HHHH[4]TTTT(-1.500000, 0.500000, 0.500000 +z)TTTT(-0.833333, -0.500000, 0.500000 +z)TTTT8cTTTT(0.500000 +x, 0.500000 - y, 0.500000 +z)HHHH[5]TTTT(0.500000, 0.500000, 0.500000 +z)TTTT(-0.166667, -0.500000, 0.500000 +z)TTTT8cTTTT(0.500000 - x, 0.500000 +y, 0.500000 +z)HHHH[6]TTTT(-0.500000, 1.500000, 0.500000 +z)TTTT(-0.500000, -0.166667, 0.500000 +z)TTTT8cTTTT(0.500000 - y, 0.500000 - x, 0.500000 +z)HHHH[7]TTTT(-0.500000, -0.500000, 0.500000 +z)TTTT(-0.500000, -0.833333, 0.500000 +z)TTTT8cTTTT(0.500000 +y, 0.500000 +x, 0.500000 +z)HHHHOrbit 2:HHHH[0]TTTT(-2.000000, -1.000000,z)TTTT(-1.000000, -1.000000,z)TTTT2aTTTT(0.000000, 0.000000,z)HHHH[1]TTTT(-0.500000, 0.500000, 0.500000 +z)TTTT(-0.500000, -0.500000, 0.500000 +z)TTTT2aTTTT(0.500000, 0.500000, 0.500000 +z)HHHHGGGG&{{8, c}, {4, b}, {2, a}}${{{8, c}, {8, c}, {8, c}, {8, c}, {8, c}, {8, c}, {8, c}, {8, c}, {8, c}}, {{8, c}, {8, c}, {8, c}, {4, b}, {8, c}}, {{8, c}, {8, c}, {2, a}}}${{{{x, y, z}, {-1 - x, 1 - y, z}, {-y, 1 + x, z}, {-1 + y, -x, z}, {-3/2 + x, -1/2 - y, 1/2 + z}, {1/2 - x, 3/2 + y, 1/2 + z}, {-3/2 - y, 3/2 - x, 1/2 + z}, {1/2 + y, -1/2 + x, 1/2 + z}}, {{x, 1 + y, z}, {-1 - x, -y, z}, {-1 - y, 1 + x, z}, {y, -x, z}, {-3/2 + x, 3/2 - y, 1/2 + z}, {1/2 - x, -1/2 + y, 1/2 + z}, {1/2 - y, 3/2 - x, 1/2 + z}, {-3/2 + y, -1/2 + x, 1/2 + z}}, {{x, -1 + y, z}, {-1 - x, -1 - y, z}, {-2 - y, 1 + x, z}, {-2 + y, -x, z}, {-3/2 + x, 1/2 - y, 1/2 + z}, {1/2 - x, 1/2 + y, 1/2 + z}, {-1/2 - y, 3/2 - x, 1/2 + z}, {-1/2 + y, -1/2 + x, 1/2 + z}}, {{-2 + x, y, z}, {-2 - x, 1 - y, z}, {-y, -1 + x, z}, {-1 + y, -1 - x, z}, {-1/2 + x, -1/2 - y, 1/2 + z}, {-1/2 - x, 3/2 + y, 1/2 + z}, {-3/2 - y, 1/2 - x, 1/2 + z}, {1/2 + y, 1/2 + x, 1/2 + z}}, {{-2 + x, 1 + y, z}, {-2 - x, -y, z}, {-1 - y, -1 + x, z}, {y, -1 - x, z}, {-1/2 + x, 3/2 - y, 1/2 + z}, {-1/2 - x, -1/2 + y, 1/2 + z}, {1/2 - y, 1/2 - x, 1/2 + z}, {-3/2 + y, 1/2 + x, 1/2 + z}}, {{-2 + x, -1 + y, z}, {-2 - x, -1 - y, z}, {-2 - y, -1 + x, z}, {-2 + y, -1 - x, z}, {-1/2 + x, 1/2 - y, 1/2 + z}, {-1/2 - x, 1/2 + y, 1/2 + z}, {-1/2 - y, 1/2 - x, 1/2 + z}, {-1/2 + y, 1/2 + x, 1/2 + z}}, {{-1 + x, y, z}, {-x, 1 - y, z}, {-y, x, z}, {-1 + y, 1 - x, z}, {1/2 + x, -1/2 - y, 1/2 + z}, {-3/2 - x, 3/2 + y, 1/2 + z}, {-3/2 - y, -1/2 - x, 1/2 + z}, {1/2 + y, 3/2 + x, 1/2 + z}}, {{-1 + x, 1 + y, z}, {-x, -y, z}, {-1 - y, x, z}, {y, 1 - x, z}, {1/2 + x, 3/2 - y, 1/2 + z}, {-3/2 - x, -1/2 + y, 1/2 + z}, {1/2 - y, -1/2 - x, 1/2 + z}, {-3/2 + y, 3/2 + x, 1/2 + z}}, {{-1 + x, -1 + y, z}, {-x, -1 - y, z}, {-2 - y, x, z}, {-2 + y, 1 - x, z}, {1/2 + x, 1/2 - y, 1/2 + z}, {-3/2 - x, 1/2 + y, 1/2 + z}, {-1/2 - y, -1/2 - x, 1/2 + z}, {-1/2 + y, 3/2 + x, 1/2 + z}}}, {{{0, 1/2, z}, {-1, 1/2, z}, {-1/2, 1, z}, {-1/2, 0, z}, {-3/2, -1, 1/2 + z}, {1/2, -1, 1/2 + z}, {-2, 3/2, 1/2 + z}, {-2, -1/2, 1/2 + z}}, {{0, 3/2, z}, {-1, -1/2, z}, {-3/2, 1, z}, {1/2, 0, z}, {-3/2, 1, 1/2 + z}, {1/2, 0, 1/2 + z}, {0, 3/2, 1/2 + z}, {-1, -1/2, 1/2 + z}}, {{0, -1/2, z}, {-1, 3/2, z}, {1/2, 1, z}, {-3/2, 0, z}, {-3/2, 0, 1/2 + z}, {1/2, 1, 1/2 + z}, {-1, 3/2, 1/2 + z}, {0, -1/2, 1/2 + z}}, {{-2, 1/2, z}, {-1/2, -1, z}, {-1/2, -1, 1/2 + z}, {-2, 1/2, 1/2 + z}}, {{-2, 3/2, z}, {-2, -1/2, z}, {-3/2, -1, z}, {1/2, -1, z}, {-1/2, 1, 1/2 + z}, {-1/2, 0, 1/2 + z}, {0, 1/2, 1/2 + z}, {-1, 1/2, 1/2 + z}}}, {{{0, 0, z}, {-1, 1, z}, {0, 1, z}, {-1, 0, z}, {-3/2, -1/2, 1/2 + z}, {1/2, 3/2, 1/2 + z}, {-3/2, 3/2, 1/2 + z}, {1/2, -1/2, 1/2 + z}}, {{0, -1, z}, {-1, -1, z}, {-2, 1, z}, {-2, 0, z}, {-3/2, 1/2, 1/2 + z}, {1/2, 1/2, 1/2 + z}, {-1/2, 3/2, 1/2 + z}, {-1/2, -1/2, 1/2 + z}}, {{-2, -1, z}, {-1/2, 1/2, 1/2 + z}}}}${{{{(-1 + x)/3, (-2 + y)/3, z}, {(-2 - x)/3, (-1 - y)/3, z}, {(-1 - y)/3, (-1 + x)/3, z}, {(-2 + y)/3, (-2 - x)/3, z}, {(-5 + 2*x)/6, (-5 - 2*y)/6, 1/2 + z}, {(-1 - 2*x)/6, (-1 + 2*y)/6, 1/2 + z}, {(-5 - 2*y)/6, (-1 - 2*x)/6, 1/2 + z}, {(-1 + 2*y)/6, (-5 + 2*x)/6, 1/2 + z}}, {{(-1 + x)/3, (-1 + y)/3, z}, {(-2 - x)/3, (-2 - y)/3, z}, {(-2 - y)/3, (-1 + x)/3, z}, {(-1 + y)/3, (-2 - x)/3, z}, {(-5 + 2*x)/6, (-1 - 2*y)/6, 1/2 + z}, {(-1 - 2*x)/6, (-5 + 2*y)/6, 1/2 + z}, {(-1 - 2*y)/6, (-1 - 2*x)/6, 1/2 + z}, {(-5 + 2*y)/6, (-5 + 2*x)/6, 1/2 + z}}, {{(-1 + x)/3, (-3 + y)/3, z}, {(-2 - x)/3, -1 - y/3, z}, {-1 - y/3, (-1 + x)/3, z}, {(-3 + y)/3, (-2 - x)/3, z}, {(-5 + 2*x)/6, (-3 - 2*y)/6, 1/2 + z}, {(-1 - 2*x)/6, (-3 + 2*y)/6, 1/2 + z}, {(-3 - 2*y)/6, (-1 - 2*x)/6, 1/2 + z}, {(-3 + 2*y)/6, (-5 + 2*x)/6, 1/2 + z}}, {{(-3 + x)/3, (-2 + y)/3, z}, {-1 - x/3, (-1 - y)/3, z}, {(-1 - y)/3, (-3 + x)/3, z}, {(-2 + y)/3, -1 - x/3, z}, {(-3 + 2*x)/6, (-5 - 2*y)/6, 1/2 + z}, {(-3 - 2*x)/6, (-1 + 2*y)/6, 1/2 + z}, {(-5 - 2*y)/6, (-3 - 2*x)/6, 1/2 + z}, {(-1 + 2*y)/6, (-3 + 2*x)/6, 1/2 + z}}, {{(-3 + x)/3, (-1 + y)/3, z}, {-1 - x/3, (-2 - y)/3, z}, {(-2 - y)/3, (-3 + x)/3, z}, {(-1 + y)/3, -1 - x/3, z}, {(-3 + 2*x)/6, (-1 - 2*y)/6, 1/2 + z}, {(-3 - 2*x)/6, (-5 + 2*y)/6, 1/2 + z}, {(-1 - 2*y)/6, (-3 - 2*x)/6, 1/2 + z}, {(-5 + 2*y)/6, (-3 + 2*x)/6, 1/2 + z}}, {{(-3 + x)/3, (-3 + y)/3, z}, {-1 - x/3, -1 - y/3, z}, {-1 - y/3, (-3 + x)/3, z}, {(-3 + y)/3, -1 - x/3, z}, {(-3 + 2*x)/6, (-3 - 2*y)/6, 1/2 + z}, {(-3 - 2*x)/6, (-3 + 2*y)/6, 1/2 + z}, {(-3 - 2*y)/6, (-3 - 2*x)/6, 1/2 + z}, {(-3 + 2*y)/6, (-3 + 2*x)/6, 1/2 + z}}, {{(-2 + x)/3, (-2 + y)/3, z}, {(-1 - x)/3, (-1 - y)/3, z}, {(-1 - y)/3, (-2 + x)/3, z}, {(-2 + y)/3, (-1 - x)/3, z}, {(-1 + 2*x)/6, (-5 - 2*y)/6, 1/2 + z}, {(-5 - 2*x)/6, (-1 + 2*y)/6, 1/2 + z}, {(-5 - 2*y)/6, (-5 - 2*x)/6, 1/2 + z}, {(-1 + 2*y)/6, (-1 + 2*x)/6, 1/2 + z}}, {{(-2 + x)/3, (-1 + y)/3, z}, {(-1 - x)/3, (-2 - y)/3, z}, {(-2 - y)/3, (-2 + x)/3, z}, {(-1 + y)/3, (-1 - x)/3, z}, {(-1 + 2*x)/6, (-1 - 2*y)/6, 1/2 + z}, {(-5 - 2*x)/6, (-5 + 2*y)/6, 1/2 + z}, {(-1 - 2*y)/6, (-5 - 2*x)/6, 1/2 + z}, {(-5 + 2*y)/6, (-1 + 2*x)/6, 1/2 + z}}, {{(-2 + x)/3, (-3 + y)/3, z}, {(-1 - x)/3, -1 - y/3, z}, {-1 - y/3, (-2 + x)/3, z}, {(-3 + y)/3, (-1 - x)/3, z}, {(-1 + 2*x)/6, (-3 - 2*y)/6, 1/2 + z}, {(-5 - 2*x)/6, (-3 + 2*y)/6, 1/2 + z}, {(-3 - 2*y)/6, (-5 - 2*x)/6, 1/2 + z}, {(-3 + 2*y)/6, (-1 + 2*x)/6, 1/2 + z}}}, {{{-1/3, -1/2, z}, {-2/3, -1/2, z}, {-1/2, -1/3, z}, {-1/2, -2/3, z}, {-5/6, -1, 1/2 + z}, {-1/6, -1, 1/2 + z}, {-1, -1/6, 1/2 + z}, {-1, -5/6, 1/2 + z}}, {{-1/3, -1/6, z}, {-2/3, -5/6, z}, {-5/6, -1/3, z}, {-1/6, -2/3, z}, {-5/6, -1/3, 1/2 + z}, {-1/6, -2/3, 1/2 + z}, {-1/3, -1/6, 1/2 + z}, {-2/3, -5/6, 1/2 + z}}, {{-1/3, -5/6, z}, {-2/3, -1/6, z}, {-1/6, -1/3, z}, {-5/6, -2/3, z}, {-5/6, -2/3, 1/2 + z}, {-1/6, -1/3, 1/2 + z}, {-2/3, -1/6, 1/2 + z}, {-1/3, -5/6, 1/2 + z}}, {{-1, -1/2, z}, {-1/2, -1, z}, {-1/2, -1, 1/2 + z}, {-1, -1/2, 1/2 + z}}, {{-1, -1/6, z}, {-1, -5/6, z}, {-5/6, -1, z}, {-1/6, -1, z}, {-1/2, -1/3, 1/2 + z}, {-1/2, -2/3, 1/2 + z}, {-1/3, -1/2, 1/2 + z}, {-2/3, -1/2, 1/2 + z}}}, {{{-1/3, -2/3, z}, {-2/3, -1/3, z}, {-1/3, -1/3, z}, {-2/3, -2/3, z}, {-5/6, -5/6, 1/2 + z}, {-1/6, -1/6, 1/2 + z}, {-5/6, -1/6, 1/2 + z}, {-1/6, -5/6, 1/2 + z}}, {{-1/3, -1, z}, {-2/3, -1, z}, {-1, -1/3, z}, {-1, -2/3, z}, {-5/6, -1/2, 1/2 + z}, {-1/6, -1/2, 1/2 + z}, {-1/2, -1/6, 1/2 + z}, {-1/2, -5/6, 1/2 + z}}, {{-1, -1, z}, {-1/2, -1/2, 1/2 + z}}}}${{{{x, y, z}, {-x, -y, z}, {-y, x, z}, {y, -x, z}, {1/2 + x, 1/2 - y, 1/2 + z}, {1/2 - x, 1/2 + y, 1/2 + z}, {1/2 - y, 1/2 - x, 1/2 + z}, {1/2 + y, 1/2 + x, 1/2 + z}}, {{x, y, z}, {-x, -y, z}, {-y, x, z}, {y, -x, z}, {1/2 + x, 1/2 - y, 1/2 + z}, {1/2 - x, 1/2 + y, 1/2 + z}, {1/2 - y, 1/2 - x, 1/2 + z}, {1/2 + y, 1/2 + x, 1/2 + z}}, {{x, y, z}, {-x, -y, z}, {-y, x, z}, {y, -x, z}, {1/2 + x, 1/2 - y, 1/2 + z}, {1/2 - x, 1/2 + y, 1/2 + z}, {1/2 - y, 1/2 - x, 1/2 + z}, {1/2 + y, 1/2 + x, 1/2 + z}}, {{x, y, z}, {-x, -y, z}, {-y, x, z}, {y, -x, z}, {1/2 + x, 1/2 - y, 1/2 + z}, {1/2 - x, 1/2 + y, 1/2 + z}, {1/2 - y, 1/2 - x, 1/2 + z}, {1/2 + y, 1/2 + x, 1/2 + z}}, {{x, y, z}, {-x, -y, z}, {-y, x, z}, {y, -x, z}, {1/2 + x, 1/2 - y, 1/2 + z}, {1/2 - x, 1/2 + y, 1/2 + z}, {1/2 - y, 1/2 - x, 1/2 + z}, {1/2 + y, 1/2 + x, 1/2 + z}}, {{x, y, z}, {-x, -y, z}, {-y, x, z}, {y, -x, z}, {1/2 + x, 1/2 - y, 1/2 + z}, {1/2 - x, 1/2 + y, 1/2 + z}, {1/2 - y, 1/2 - x, 1/2 + z}, {1/2 + y, 1/2 + x, 1/2 + z}}, {{x, y, z}, {-x, -y, z}, {-y, x, z}, {y, -x, z}, {1/2 + x, 1/2 - y, 1/2 + z}, {1/2 - x, 1/2 + y, 1/2 + z}, {1/2 - y, 1/2 - x, 1/2 + z}, {1/2 + y, 1/2 + x, 1/2 + z}}, {{x, y, z}, {-x, -y, z}, {-y, x, z}, {y, -x, z}, {1/2 + x, 1/2 - y, 1/2 + z}, {1/2 - x, 1/2 + y, 1/2 + z}, {1/2 - y, 1/2 - x, 1/2 + z}, {1/2 + y, 1/2 + x, 1/2 + z}}, {{x, y, z}, {-x, -y, z}, {-y, x, z}, {y, -x, z}, {1/2 + x, 1/2 - y, 1/2 + z}, {1/2 - x, 1/2 + y, 1/2 + z}, {1/2 - y, 1/2 - x, 1/2 + z}, {1/2 + y, 1/2 + x, 1/2 + z}}}, {{{x, y, z}, {-x, -y, z}, {-y, x, z}, {y, -x, z}, {1/2 + x, 1/2 - y, 1/2 + z}, {1/2 - x, 1/2 + y, 1/2 + z}, {1/2 - y, 1/2 - x, 1/2 + z}, {1/2 + y, 1/2 + x, 1/2 + z}}, {{x, y, z}, {-x, -y, z}, {-y, x, z}, {y, -x, z}, {1/2 + x, 1/2 - y, 1/2 + z}, {1/2 - x, 1/2 + y, 1/2 + z}, {1/2 - y, 1/2 - x, 1/2 + z}, {1/2 + y, 1/2 + x, 1/2 + z}}, {{x, y, z}, {-x, -y, z}, {-y, x, z}, {y, -x, z}, {1/2 + x, 1/2 - y, 1/2 + z}, {1/2 - x, 1/2 + y, 1/2 + z}, {1/2 - y, 1/2 - x, 1/2 + z}, {1/2 + y, 1/2 + x, 1/2 + z}}, {{0, 1/2, z}, {1/2, 0, z}, {1/2, 0, 1/2 + z}, {0, 1/2, 1/2 + z}}, {{x, y, z}, {-x, -y, z}, {-y, x, z}, {y, -x, z}, {1/2 + x, 1/2 - y, 1/2 + z}, {1/2 - x, 1/2 + y, 1/2 + z}, {1/2 - y, 1/2 - x, 1/2 + z}, {1/2 + y, 1/2 + x, 1/2 + z}}}, {{{x, y, z}, {-x, -y, z}, {-y, x, z}, {y, -x, z}, {1/2 + x, 1/2 - y, 1/2 + z}, {1/2 - x, 1/2 + y, 1/2 + z}, {1/2 - y, 1/2 - x, 1/2 + z}, {1/2 + y, 1/2 + x, 1/2 + z}}, {{x, y, z}, {-x, -y, z}, {-y, x, z}, {y, -x, z}, {1/2 + x, 1/2 - y, 1/2 + z}, {1/2 - x, 1/2 + y, 1/2 + z}, {1/2 - y, 1/2 - x, 1/2 + z}, {1/2 + y, 1/2 + x, 1/2 + z}}, {{0, 0, z}, {1/2, 1/2, 1/2 + z}}}}&OK! (#)

Listed with respect to the BNS setting:


Listed with respect to the OG setting:



Bilbao Crystallographic Server
http://www.cryst.ehu.es
For comments, please mail to
administrador.bcs@ehu.eus