Aem2 No. 39 C2v15


Axes Coordinates Wyckoff positions
4a 4b 4c 8d
I Maximal translationengleiche subgroups
[2] A1m1 (8) x, y + (1/4), z 4b 4b 2 × 2a 2 × 4b
[conventional setting]C1m1 c, -b, a z, -y - (1/4), x
[2] Pb11 (7) a, b, (1/2)(-b + c) x, y + z, 2z 2a 2a 2a 2 × 2a
[conventional setting]P1c1 (1/2)(-b + c), a, b 2z, x, y + z
[2] A112 (5) 2 × 2a 2 × 2b 4c 2 × 4c
II Maximal klassengleiche subgroups
   Loss of centring translations
[2] Pbc21 (29) x, y + (1/4), z 4a 4a 4a 2 × 4a
[conventional setting]Pca21 b, -a, c y + (1/4), -x, z
[2] Pbm2 (28) 2 × 2a 2 × 2b 2 × 2c 2 × 4d
[conventional setting]Pma2 b, -a, c y, -x, z
[2] Pcc2 (27) 2a; 2b 2c; 2d 4e 2 × 4e
[2] Pcm21 (26) x, y + (1/4), z 4c 4c 2a; 2b 2 × 4c
[conventional setting]Pmc21 b, -a, c y + (1/4), -x, z
   Enlarged unit cell, non-isomorphic
[2] Ibm2 (46) 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 2 × 4a 8c 2 × 4b 2 × 8c
[conventional setting]Ima2 b, 2a, -c y, (1/2)x, -z; +(0, (1/2), 0)
[2] Ibm2 (46) 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 8c 2 × 4a 2 × 4b 2 × 8c
[conventional setting]Ima2 b, 2a, -c y, (1/2)x + (1/4), -z; +(0, (1/2), 0)
[2] Iba2 (45) 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 4a; 4b 8c 8c 2 × 8c
[2] Iba2 (45) 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 8c 4a; 4b 8c 2 × 8c
[2] Aea2 (41) 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 2 × 4a 8b 8b 2 × 8b
[2] Aea2 (41) 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 8b 2 × 4a 8b 2 × 8b
   Enlarged unit cell, isomorphic
[2] Aem2 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 4a; 4b 8d 2 × 4c 2 × 8d
[2] Aem2 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 8d 4a; 4b 2 × 4c 2 × 8d
[3] Aem2 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 4a; 8d 4b; 8d 3 × 4c 3 × 8d
[p] Aem2 pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 4a; ((p - 1)/2) × 8d 4b; ((p - 1)/2) × 8d p × 4c p × 8d
p = prime > 2; u = 1, . . ., p - 1
[3] Aem2 a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 4a; 8d 4b; 8d 4c; 8d 3 × 8d
[p] Aem2 a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 4a; ((p - 1)/2) × 8d 4b; ((p - 1)/2) × 8d 4c; ((p - 1)/2) × 8d p × 8d
p = prime > 2; u = 1, . . ., p - 1
[3] Aem2 a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 3 × 4a 3 × 4b 3 × 4c 3 × 8d
[p] Aem2 a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) p × 4a p × 4b p × 4c p × 8d
p = prime > 2; u = 1, . . ., p - 1


Nonconventional settings
        interchange letters and sequences in Hermann-Mauguin symbols, axes and coordinates:
B2em A → B; C → A a → b → c → a a → b → c → a x→ y → z → x
Cm2e A → C; C → B a← b ← c ← a a← b ← c ← a x← y ← z ← x
Bme2 A → B a<-> b a<-> -b x<-> -y
C2me A <-> C a<-> c a<-> -c x<-> -z
Ae2m C → B b<-> c b<-> -c y<-> -z









































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