Ibca No. 73 I21/b21/c21/a D2h27


Axes Coordinates Wyckoff positions
8a 8b 8c 8d 8e 16f
I Maximal translationengleiche subgroups
[2] Iba2 (45) x, y + (1/4), z 8c 8c 8c 8c 4a; 4b 2 × 8c
[2] Ic2a (45) x + (1/4), y, z 8c 8c 8c 4a; 4b 8c 2 × 8c
[conventional setting]Iba2 c, a, b z, x + (1/4), y
[2] I2cb (45) x, y, z + (1/4) 8c 8c 4a; 4b 8c 8c 2 × 8c
[conventional setting]Iba2 b, c, a y, z + (1/4), x
[2] I212121 (24) 8d 8d 2 × 4a 2 × 4b 2 × 4c 2 × 8d
[2] I2/c11 (15) 4a; 4b 4c; 4d 2 × 4e 8f 8f 2 × 8f
[conventional setting]I12/a1 c, a, b z, x, y
[conventional setting]C12/c1 -b - c, a, c -y, x, -y + z
[2] I12/a1 (15) 4a; 4b 4c; 4d 8f 2 × 4e 8f 2 × 8f
[conventional setting]C12/c1 -a - c, b, a -z, y, x - z
[2] I112/b (15) 4a; 4b 4c; 4d 8f 8f 2 × 4e 2 × 8f
[conventional setting]A112/a b, -a - b, c x + y, -x, z
II Maximal klassengleiche subgroups
   Loss of centring translations
[2] Pbca (61) 4a; 4b 8c 8c 8c 8c 2 × 8c
[2] Pcab (61) x + (1/4), y + (1/4), z + (1/4) 8c 4a; 4b 8c 8c 8c 2 × 8c
[conventional setting]Pbca b, -a, c y + (1/4), -x - (1/4), z + (1/4)
[conventional setting]Pbca c, b, -a z + (1/4), y + (1/4), -x - (1/4)
[conventional setting]Pbca a, c, -b x + (1/4), z + (1/4), -y - (1/4)
[2] Pcca (54) x + (1/4), y + (1/4), z + (1/4) 8f 4a; 4b 8f 2 × 4c 4d; 4e 2 × 8f
[2] Pbaa (54) x + (1/4), y + (1/4), z + (1/4) 8f 4a; 4b 4d; 4e 8f 2 × 4c 2 × 8f
[conventional setting]Pcca b, c, a y + (1/4), z + (1/4), x + (1/4)
[2] Pbcb (54) x + (1/4), y + (1/4), z + (1/4) 8f 4a; 4b 2 × 4c 4d; 4e 8f 2 × 8f
[conventional setting]Pcca c, a, b z + (1/4), x + (1/4), y + (1/4)
[2] Pbab (54) 4a; 4b 8f 8f 4d; 4e 2 × 4c 2 × 8f
[conventional setting]Pcca a, -c, b y, -x, z
[2] Pccb (54) 4a; 4b 8f 2 × 4c 8f 4d; 4e 2 × 8f
[conventional setting]Pcca b, a, -c y, x, -z
[2] Pcaa (54) 4a; 4b 8f 4d; 4e 2 × 4c 8f 2 × 8f
[conventional setting]Pcca -c, b, a -z, y, x
   Enlarged unit cell, isomorphic
[3] Ibca 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 8a; 16f 8b; 16f 3 × 8c 8d; 16f 8e; 16f 3 × 16f
[p] Ibca pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 8a; ((p - 1)/2) × 16f 8b; ((p - 1)/2) × 16f p × 8c 8d; ((p - 1)/2) × 16f 8e; ((p - 1)/2) × 16f p × 16f
p = prime > 2; u = 1, . . ., p - 1
[3] Ibca a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 8a; 16f 8b; 16f 8c; 16f 3 × 8d 8e; 16f 3 × 16f
[p] Ibca a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 8a; ((p - 1)/2) × 16f 8b; ((p - 1)/2) × 16f 8c; ((p - 1)/2) × 16f p × 8d 8e; ((p - 1)/2) × 16f p × 16f
p = prime > 2; u = 1, . . ., p - 1
[3] Ibca a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 8a; 16f 8b; 16f 8c; 16f 8d; 16f 3 × 8e 3 × 16f
[p] Ibca a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) 8a; ((p - 1)/2) × 16f 8b; ((p - 1)/2) × 16f 8c; ((p - 1)/2) × 16f 8d; ((p - 1)/2) × 16f p × 8e p × 16f
p = prime > 2; u = 1, . . ., p - 1


Nonconventional settings
        interchange letters and sequences in Hermann-Mauguin symbols, axes and coordinates:
Icab A→ B a<-> b a<-> -b x<-> -y









































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