Ama2 No. 40 C2v16


Axes Coordinates Wyckoff positions
4a 4b 8c
I Maximal translationengleiche subgroups
[2] A1a1 (9) 4a 4a 4 × 2a
[conventional setting]C1c1 c, -b, a z, -y, x
[2] Pm11 (6) a, (1/2)(b - c), (1/2)(b + c) x + (1/4), y - z, y + z 2c 1a; 1b 2 × 2c
[conventional setting]P1m1 (1/2)(b + c), a, (1/2)(b - c) y + z, x + (1/4), y - z
[2] A112 (5) 2a; 2b 4c 2 × 4c
II Maximal klassengleiche subgroups
   Loss of centring translations
[2] Pnn2 (34) 2a; 2b 4c 2 × 4c
[2] Pna21 (33) x, y + (1/4), z 4a 4a 2 × 4a
[2] Pmn21 (31) x + (1/4), y + (1/4), z 4b 2 × 2a 2 × 4b
[2] Pma2 (28) 2a; 2b 2 × 2c 2 × 4d
   Enlarged unit cell, isomorphic
[3] Ama2 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 4a; 8c 4b; 8c 3 × 8c
[p] Ama2 pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 4a; ((p - 1)/2) × 8c 4b; ((p - 1)/2) × 8c p × 8c
p = prime > 2; u = 1, . . ., p - 1
[3] Ama2 a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 4a; 8c 3 × 4b 3 × 8c
[p] Ama2 a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 4a; ((p - 1)/2) × 8c p × 4b p × 8c
p = prime > 2; u = 1, . . ., p - 1
[3] Ama2 a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 3 × 4a 3 × 4b 3 × 8c
[p] Ama2 a, b, pc x, y, (1/p), z; +(0, 0, (u/p)) p × 4a p × 4b p × 8c
p = prime > 2; u = 1, . . ., p - 1


Nonconventional settings
        interchange letters and sequences in Hermann-Mauguin symbols, axes and coordinates:
B2mb A → B; C → A a → b; c → a a → b → c → a x→ y → z → x
Cc2m A → C; C → B a→ c; c→ b a← b ← c ← a x← y ← z ← x
Bbm2 A → B a→ b a<-> -b x<-> -y
C2cm A <-> C a<-> c a<-> -c x<-> -z
Am2a C → B c→ b b<-> -c y<-> -z









































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