I4 1Sacd

group number = 142 group name = I4_1/acd crystal system = Tetragonal setting number = 1 number of symmetry operators = 32

+x,+y,+z -x+1/2,-y+1/2,+z+1/2 -y,+x+1/2,+z+1/4 +y+1/2,-x,+z+3/4 -x+1/2,+y,-z+1/4 +x,-y+1/2,-z+3/4 +y+1/2,+x+1/2,-z -y,-x,-z+1/2 -x,-y+1/2,-z+1/4 +x+1/2,+y,-z+3/4 +y,-x,-z -y+1/2,+x+1/2,-z+1/2 +x+1/2,-y+1/2,+z -x,+y,+z+1/2 -y+1/2,-x,+z+1/4 +y,+x+1/2,+z+3/4 +x+1/2,+y+1/2,+z+1/2 -x+1,-y+1,+z+1 -y+1/2,+x+1,+z+3/4 +y+1,-x+1/2,+z+5/4 -x+1,+y+1/2,-z+3/4 +x+1/2,-y+1,-z+5/4 +y+1,+x+1,-z+1/2 -y+1/2,-x+1/2,-z+1 -x+1/2,-y+1,-z+3/4 +x+1,+y+1/2,-z+5/4 +y+1/2,-x+1/2,-z+1/2 -y+1,+x+1,-z+1 +x+1,-y+1,+z+1/2 -x+1/2,+y+1/2,+z+1 -y+1,-x+1/2,+z+3/4 +y+1/2,+x+1,+z+5/4

= operator 1 = 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0

= operator 2 = -1.0 0.0 0.0 0.5 0.0 -1.0 0.0 0.5 0.0 0.0 1.0 0.5

= operator 3 = 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.5 0.0 0.0 1.0 0.25

= operator 4 = 0.0 1.0 0.0 0.5 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.75

= operator 5 = -1.0 0.0 0.0 0.5 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.25

= operator 6 = 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.5 0.0 0.0 -1.0 0.75

= operator 7 = 0.0 1.0 0.0 0.5 1.0 0.0 0.0 0.5 0.0 0.0 -1.0 0.0

= operator 8 = 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.5

= operator 9 = -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.5 0.0 0.0 -1.0 0.25

= operator 10 = 1.0 0.0 0.0 0.5 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.75

= operator 11 = 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0

= operator 12 = 0.0 -1.0 0.0 0.5 1.0 0.0 0.0 0.5 0.0 0.0 -1.0 0.5

= operator 13 = 1.0 0.0 0.0 0.5 0.0 -1.0 0.0 0.5 0.0 0.0 1.0 0.0

= operator 14 = -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.5

= operator 15 = 0.0 -1.0 0.0 0.5 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.25

= operator 16 = 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.5 0.0 0.0 1.0 0.75

= operator 17 = 1.0 0.0 0.0 0.5 0.0 1.0 0.0 0.5 0.0 0.0 1.0 0.5

= operator 18 = -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0

= operator 19 = 0.0 -1.0 0.0 0.5 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.75

= operator 20 = 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.5 0.0 0.0 1.0 1.25

= operator 21 = -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.5 0.0 0.0 -1.0 0.75

= operator 22 = 1.0 0.0 0.0 0.5 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 1.25

= operator 23 = 0.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.5

= operator 24 = 0.0 -1.0 0.0 0.5 -1.0 0.0 0.0 0.5 0.0 0.0 -1.0 1.0

= operator 25 = -1.0 0.0 0.0 0.5 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.75

= operator 26 = 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.5 0.0 0.0 -1.0 1.25

= operator 27 = 0.0 1.0 0.0 0.5 -1.0 0.0 0.0 0.5 0.0 0.0 -1.0 0.5

= operator 28 = 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0

= operator 29 = 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.5

= operator 30 = -1.0 0.0 0.0 0.5 0.0 1.0 0.0 0.5 0.0 0.0 1.0 1.0

= operator 31 = 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.5 0.0 0.0 1.0 0.75

= operator 32 = 0.0 1.0 0.0 0.5 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.25

group number = 142 group name = I4_1/acd crystal system = Tetragonal setting number = 2 number of symmetry operators = 32

+x,+y,+z -x+1/2,-y,+z+1/2 -y+1/4,+x+3/4,+z+1/4 +y+1/4,-x+1/4,+z+3/4 -x+1/2,+y,-z +x,-y,-z+1/2 +y+1/4,+x+3/4,-z+3/4 -y+1/4,-x+1/4,-z+1/4 -x,-y,-z +x+1/2,+y,-z+1/2 +y+3/4,-x+1/4,-z+3/4 -y+3/4,+x+3/4,-z+1/4 +x+1/2,-y,+z -x,+y,+z+1/2 -y+3/4,-x+1/4,+z+1/4 +y+3/4,+x+3/4,+z+3/4 +x+1/2,+y+1/2,+z+1/2 -x+1,-y+1/2,+z+1 -y+3/4,+x+5/4,+z+3/4 +y+3/4,-x+3/4,+z+5/4 -x+1,+y+1/2,-z+1/2 +x+1/2,-y+1/2,-z+1 +y+3/4,+x+5/4,-z+5/4 -y+3/4,-x+3/4,-z+3/4 -x+1/2,-y+1/2,-z+1/2 +x+1,+y+1/2,-z+1 +y+5/4,-x+3/4,-z+5/4 -y+5/4,+x+5/4,-z+3/4 +x+1,-y+1/2,+z+1/2 -x+1/2,+y+1/2,+z+1 -y+5/4,-x+3/4,+z+3/4 +y+5/4,+x+5/4,+z+5/4

= operator 1 = 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0

= operator 2 = -1.0 0.0 0.0 0.5 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.5

= operator 3 = 0.0 -1.0 0.0 0.25 1.0 0.0 0.0 0.75 0.0 0.0 1.0 0.25

= operator 4 = 0.0 1.0 0.0 0.25 -1.0 0.0 0.0 0.25 0.0 0.0 1.0 0.75

= operator 5 = -1.0 0.0 0.0 0.5 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0

= operator 6 = 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.5

= operator 7 = 0.0 1.0 0.0 0.25 1.0 0.0 0.0 0.75 0.0 0.0 -1.0 0.75

= operator 8 = 0.0 -1.0 0.0 0.25 -1.0 0.0 0.0 0.25 0.0 0.0 -1.0 0.25

= operator 9 = -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0

= operator 10 = 1.0 0.0 0.0 0.5 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.5

= operator 11 = 0.0 1.0 0.0 0.75 -1.0 0.0 0.0 0.25 0.0 0.0 -1.0 0.75

= operator 12 = 0.0 -1.0 0.0 0.75 1.0 0.0 0.0 0.75 0.0 0.0 -1.0 0.25

= operator 13 = 1.0 0.0 0.0 0.5 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0

= operator 14 = -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.5

= operator 15 = 0.0 -1.0 0.0 0.75 -1.0 0.0 0.0 0.25 0.0 0.0 1.0 0.25

= operator 16 = 0.0 1.0 0.0 0.75 1.0 0.0 0.0 0.75 0.0 0.0 1.0 0.75

= operator 17 = 1.0 0.0 0.0 0.5 0.0 1.0 0.0 0.5 0.0 0.0 1.0 0.5

= operator 18 = -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.5 0.0 0.0 1.0 1.0

= operator 19 = 0.0 -1.0 0.0 0.75 1.0 0.0 0.0 1.25 0.0 0.0 1.0 0.75

= operator 20 = 0.0 1.0 0.0 0.75 -1.0 0.0 0.0 0.75 0.0 0.0 1.0 1.25

= operator 21 = -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.5 0.0 0.0 -1.0 0.5

= operator 22 = 1.0 0.0 0.0 0.5 0.0 -1.0 0.0 0.5 0.0 0.0 -1.0 1.0

= operator 23 = 0.0 1.0 0.0 0.75 1.0 0.0 0.0 1.25 0.0 0.0 -1.0 1.25

= operator 24 = 0.0 -1.0 0.0 0.75 -1.0 0.0 0.0 0.75 0.0 0.0 -1.0 0.75

= operator 25 = -1.0 0.0 0.0 0.5 0.0 -1.0 0.0 0.5 0.0 0.0 -1.0 0.5

= operator 26 = 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.5 0.0 0.0 -1.0 1.0

= operator 27 = 0.0 1.0 0.0 1.25 -1.0 0.0 0.0 0.75 0.0 0.0 -1.0 1.25

= operator 28 = 0.0 -1.0 0.0 1.25 1.0 0.0 0.0 1.25 0.0 0.0 -1.0 0.75

= operator 29 = 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.5 0.0 0.0 1.0 0.5

= operator 30 = -1.0 0.0 0.0 0.5 0.0 1.0 0.0 0.5 0.0 0.0 1.0 1.0

= operator 31 = 0.0 -1.0 0.0 1.25 -1.0 0.0 0.0 0.75 0.0 0.0 1.0 0.75

= operator 32 = 0.0 1.0 0.0 1.25 1.0 0.0 0.0 1.25 0.0 0.0 1.0 1.25 ```