Aea2 No. 41 C2v17


Axes Coordinates Wyckoff positions
4a 8b
I Maximal translationengleiche subgroups
[2] A1n1 (9) 4a 2 × 4a
[conventional setting] C1c1 c, b, -a z, y + (1/4), -x
[2] Pb11 (7) a, b, (1/2)(-b + c) x + (1/4), y + z, 2z 2a 2 × 2a
[conventional setting] P1c1 (1/2)(-b + c), a, b 2z, x + (1/4), y + z
[2] A112 (5) 2a; 2b 2 × 4c
II Maximal klassengleiche subgroups
   Loss of centring translations
[2] Pbn21 (33) x, y + (1/4), z 4a 2 × 4a
[conventional setting] Pna21 b, -a, c y + (1/4), -x, z
[2] Pba2 (32) 2a; 2b 2 × 4c
[2] Pcn2 (30) 2a; 2b 2 × 4c
[conventional setting] Pnc2 b, -a, c y, -x, z
[2] Pca21 (29) x, y + (1/4), z 4a 2 × 4a
   Enlarged unit cell, isomorphic
[3] Aea2 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 4a; 8b 3 × 8b
[p] Aea2 pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 4a; ((p - 1)/2) × 8b p × 8b
p = prime > 2; u = 1, . . ., p - 1
[3] Aea2 a, 3b, c x, (1/3) y, z; ±(0, (1/3), 0) 4a; 8b 3 × 8b
[p] Aea2 a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 4a; ((p - 1)/2) × 8b p × 8b
p = prime > 2; u = 1, . . ., p - 1
[3] Aea2 a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 3 × 4a 3 × 8b
[p] Aea2 a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) p × 4a p × 8b
p = prime > 2; u = 1, . . ., p - 1


Nonconventional settings
        interchange letters and sequences in Hermann-Mauguin symbols, axes and coordinates:
B2eb A → B; C → A a → b → c → a a → b → c → a x→ y → z → x
Cc2e A → C; C → B a← b ← c ← a a← b ← c ← a x← y ← z ← x
Bbe2 A → B a<-> b a<-> -b x<-> -y
C2ce A <-> C a<-> c a<-> -c x<-> -z
Ae2a C → B c<-> b b<-> -c y<-> -z









































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