Pmn21 No. 31 C2v7


Axes Coordinates Wyckoff positions
2a 4b
I Maximal translationengleiche subgroups
[2] P1n1 (7) 2a 2 × 2a
[2] Pm11 (6) 1a; 1b 2 × 2c
[conventional setting] P1m1 c, a, b z, x, y
[2] P1121 (4) x + (1/4), y, z 2a 2 × 2a
II Maximal klassengleiche subgroups
   Enlarged unit cell, non-isomorphic
[2] Pbn21 (33) a, 2b, c x + (1/4), (1/2)y, z; +(0, (1/2), 0) 4a 2 × 4a
[conventional setting] Pna21 2b, a, -c (1/2)y, x + (1/4), -z; +((1/2), 0, 0)
[2] Pbn21 (33) a, 2b, c x + (1/4), (1/2)y + (1/4), z; +(0, (1/2), 0) 4a 2 × 4a
[conventional setting] Pna21 2b, a, -c (1/2)y + (1/4), x + (1/4), -z; +((1/2), 0, 0)
   Enlarged unit cell, isomorphic
[3] Pmn21 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 2a; 4b 3 × 4b
[p] Pmn21 pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 2a; ((p - 1)/2) × 4b p × 4b
p = prime > 2; u = 1, . . ., p - 1
[2] Pmn21 a, 2b, c x, (1/2)y, z; +(0, (1/2), 0) 2 × 2a 2 × 4b
[2] Pmn21 a, 2b, c x, (1/2)y + (1/4), z; +(0, (1/2), 0) 2 × 2a 2 × 4b
[3] Pmn21 a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 3 × 2a 3 × 4b
[p] Pmn21 a, pb, c x, (1/p)y, z; +(0, (u/p), 0) p × 2a p × 4b
p = prime; u = 1, . . ., p - 1
[3] Pmn21 a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 3 × 2a 3 × 4b
[p] Pmn21 a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) p × 2a p × 4b
p = prime > 2; u = 1, . . ., p - 1


Nonconventional settings
        interchange letters and sequences in Hermann-Mauguin symbols, axes and coordinates:
P21mn abc abca xyzx
Pn21m cab abca xyzx
Pnm21 a<-> b a<-> -b x<-> -y
P21nm ac a<-> -c x<-> -z
Pm21n bc b<-> -c y<-> -z










































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