Ibam No. 72 I2/b2/a2/m D2h26


Axes Coordinates Wyckoff positions
4a 4b 4c 4d 8e 8f 8g 8h 8i 8j 16k
I Maximal translationengleiche subgroups
[2] I2cm (46) x, y, z + (1/4) 4a 4a 4b 4b 8c 2 × 4a 8c 8c 8c 2 × 4b 2 × 8c
[conventional setting]Ima2 c, -b, a z + (1/4), -y, x
[2] Ic2m (46) x, y, z + (1/4) 4a 4a 4b 4b 8c 8c 2 × 4a 8c 8c 2 × 4b 2 × 8c
[conventional setting]Ima2 c, a, b z + (1/4), x, y
[2] Iba2 (45) 4a 4b 4a 4b 8c 8c 8c 2 × 4a 2 × 4b 8c 2 × 8c
[2] I222 (23) x, y, z + (1/4) 2a; 2c 2b; 2d 4i 4j 8k 4e; 4f 4g; 4h 2 × 4i 2 × 4j 8k 2 × 8k
[2] I2/c11 (15) 4e 4e 4a 4b 4c; 4d 2 × 4e 8f 8f 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/c1 (15) 4e 4e 4a 4b 4c; 4d 8f 2 × 4e 8f 8f 8f 2 × 8f
[conventional setting]C12/c1 a - c, b, c x, y, x + z
[2] I112/m(12) 4g 4h 2a; 2b 2c; 2d 4e; 4f 8j 8j 2 × 4g 2 × 4h 2 × 4i 2 × 8j
[conventional setting]A112/m b, -a - b, c -x + y, -y, z
II Maximal klassengleiche subgroups
   Loss of centring translations
[2] Pbcn (60) 4c 4c 4a 4b 8d 8d 2 × 4c 8d 8d 8d 2 × 8d
[2] Pcan (60) 4c 4c 4a 4b 8d 2 × 4c 8d 8d 8d 8d 2 × 8d
[conventional setting]Pbcn b, -a, c y, -x, z
[2] Pbcm (57) x + (1/4), y + (1/4), z + (1/4) 4c 4c 4d 4d 4a; 4b 2 × 4c 8e 8e 8e 2 × 4d 2 × 8e
[2] Pcam (57) x + (1/4), y + (1/4), z + (1/4) 4c 4c 4d 4d 4a; 4b 8e 2 × 4c 8e 8e 2 × 4d 2 × 8e
[conventional setting]Pbcm b, -a, c y + (1/4), -x - (1/4), z + (1/4)
[2] Pccn (56) x + (1/4), y + (1/4), z + (1/4) 4c 4d 4c 4d 4a; 4b 8e 8e 2 × 4c 2 × 4d 8e 2 × 8e
[2] Pbam (55) 4e 4f 2a; 2b 2c; 2d 8i 8i 8i 2 × 4e 2 × 4f 4g; 4h 2 × 8i
[2] Pban (50) origin 1: x, y, z + (1/4) 2a; 2d 2b; 2c 4k 4l 4e; 4f 4g; 4h 4i; 4j 2 × 4k 2 × 4l 8m 2 × 8m
origin 2: x + (1/4), y + (1/4), z + (1/4)
[2] Pccm (49) 2e; 2h 2f; 2g 2a; 2b 2c; 2d 8r 4i; 4j 4k; 4l 4m; 4n 4o; 4p 2 × 4q 2 × 8r
   Enlarged unit cell, isomorphic
[3] Ibam 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 4a; 8f 4b; 8f 4c; 8j 4d; 8j 8e; 16k 3 × 8f 8g; 16k 8h; 16k 8i; 16k 3 × 8j 3 × 16k
[p] Ibam pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 4a; 4b; 4c; 4d; 8e; p × 8f 8g; 8h; 8i; p × 8j p × 16k
p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × ((p - 1)/2) × ((p - 1)/2) × ((p - 1)/2) × ((p - 1)/2) × ((p - 1)/2) × ((p - 1)/2) × ((p - 1)/2) ×
8f 8f 8j 8j 16k 16k 16k 16k
[3] Ibam a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 4a; 8g 4b; 8g 4c; 8j 4d; 8j 8e; 16k 8 f; 16k 3 × 8g 8h; 16k 8i; 16k 3 × 8j 3 × 16k
[p] Ibam a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 4a; 4b; 4c; 4d; 8e; 8f; p × 8g 8h; 8i; p × 8j p × 16k
p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × ((p - 1)/2) × ((p - 1)/2) × ((p - 1)/2) × ((p - 1)/2) × ((p - 1)/2) × ((p - 1)/2) × ((p - 1)/2) ×
8g 8g 8j 8j 16k 16k 16k 16k
[3] Ibam a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 4a; 8h 4b; 8i 4c; 8h 4d; 8i 8e; 16k 8f; 16k 8g; 16k 3 × 8h 3 × 8i 8j; 16k 3 × 16k
[p] Ibam a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) 4a; 4b; 4c; 4d; 8e; 8f; 8g; p × 8h p × 8i 8j; p × 16k
p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × ((p - 1)/2) × ((p - 1)/2) × ((p - 1)/2) × ((p - 1)/2) × ((p - 1)/2) × ((p - 1)/2) × ((p - 1)/2) ×
8h 8i 8h 8i 16k 16k 16k 16k


Nonconventional settings
        interchange letters and sequences in Hermann-Mauguin symbols, axes and coordinates:
Imcb C → A→ B a→ b → c → a a→ b → c → a x→ y → z → x
Icma A→ C→ B a← b ← c ← a a← b ← c ← a x← y ← z ← x









































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