Pbcm No. 57 P2/b21/c21/m D2h11


Axes Coordinates Wyckoff positions
4a 4b 4c 4d 8e
I Maximal translationengleiche subgroups
[2] Pbc21 (29) 4a 4a 4a 4a 2 × 4a
[conventional setting]Pca21 b, a, -c y, x, -z
[2] P2cm (28) x, y + (1/4), z 4d 4d 2a; 2b 2 × 2c 2 × 4d
[conventional setting]Pma2 c, b, -a z, y + (1/4), -x
[2] Pb21m (26) x, y, z + (1/4) 4c 4c 4c 2a; 2b 2 × 4c
[conventional setting]Pmc21 c, a, b z + (1/4), x, y
[2] P22121 (18) x, y + (1/4), z 4c 4c 2a; 2b 4c 2 × 4c
[conventional setting]P21212 b, c, a y + (1/4), z, x
[2] P121/c1 (14) 2a; 2c 2b; 2d 4e 4e 2 × 4e
[2] P2/b11 (13) 2a; 2d 2b; 2c 2e; 2f 4g 2 × 4g
[conventional setting]P12/c1 c, a, b z, x, y
[2] P1121/m (11) 2a; 2b 2c; 2d 4f 2 × 2e 2 × 4f
II Maximal klassengleiche subgroups
   Enlarged unit cell, non-isomorphic
[2] Pbnm (62) 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 4a; 4b 8d 8d 2 × 4c 2 × 8d
[conventional setting]Pnma b, c, 2a y, z, (1/2)x; +(0, 0, (1/2))
[2] Pbnm (62) 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 8d 4a; 4b 8d 2 × 4c 2 × 8d
[conventional setting]Pnma b, c, 2a y, z, (1/2)x + (1/4); +(0, 0, (1/2))
[2] Pbca (61) 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 4a; 4b 8c 8c 8c 2 × 8c
[2] Pbca (61) 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 8c 4a; 4b 8c 8c 2 × 8c
[2] Pbna (60) 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 4a; 4b 8d 2 × 4c 8d 2 × 8d
[conventional setting]Pbcn c, 2a, b z, (1/2)x, y; +(0, (1/2), 0)
[2] Pbna (60) 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 8d 4a; 4b 2 × 4c 8d 2 × 8d
[conventional setting]Pbcn c, 2a, b z, (1/2)x + (1/4), y; +(0, (1/2), 0)
   Enlarged unit cell, isomorphic
[2] Pbcm 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 4a; 4b 8e 2 × 4c 2 × 4d 2 × 8e
[2] Pbcm 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 8e 4a; 4b 2 × 4c 2 × 4d 2 × 8e
[3] Pbcm 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 4a; 8e 4b; 8e 3 × 4c 3 × 4d 3 × 8e
[p] Pbcm pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 4a; ((p - 1)/2) × 8e 4b; ((p - 1)/2) × 8e p × 4c p × 4d p × 8e
p = prime > 2; u = 1, . . ., p - 1
[3] Pbcm a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 4a; 8e 4b; 8e 4c; 8e 3 × 4d 3 × 8e
[p] Pbcm a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 4a; ((p - 1)/2) × 8e 4b; ((p - 1)/2) × 8e 4c; ((p - 1)/2) × 8e p × 4d p × 8e
p = prime > 2; u = 1, . . ., p - 1
[3] Pbcm a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 4a; 8e 4b; 8e 4c; 8e 4d; 8e 3 × 8e
[p] Pbcm a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) 4a; ((p - 1)/2) × 8e 4b; ((p - 1)/2) × 8e 4c; ((p - 1)/2) × 8e 4d; ((p - 1)/2) × 8e p × 8e
p = prime > 2; u = 1, . . ., p - 1


Nonconventional settings
        interchange letters and sequences in Hermann-Mauguin symbols, axes and coordinates:
Pmca a→ b → c → a a→ b → c → a x→ y → z → x
Pbma a← b ← c ← a a← b ← c ← a x← y ← z ← x
Pcam a<-> b a<-> -b x<-> -y
Pmab a<-> c a<-> -c x<-> -z
Pcmb b<-> c b<-> -c y<-> -z









































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