Pnn2 No. 34 C2v10


Axes Coordinates Wyckoff positions
2a 2b 4c
I Maximal translationengleiche subgroups
[2] Pn11 (7) x + (1/4), y, z 2a 2a 2 × 2a
[conventional setting]P1n1 c, a, b z, x + (1/4), y
[conventional setting]P1c1 b, a, -b - c y - z, x + (1/4), -z
[2] P1n1 (7) x, y + (1/4), z 2a 2a 2 × 2a
[conventional setting]P1c1 -a, b, a + c -x + z, y + (1/4), z
[2] P112 (3) 1a; 1d 1b; 1c 2 × 2e
II Maximal klassengleiche subgroups
   Enlarged unit cell, non-isomorphic
[2] Fdd2 (43) 2a, 2b, 2c (1/2)x, (1/2)y, (1/2)z; +((1/2), 0, 0) 2 × 8a 16b 2 × 16b
[2] Fdd2 (43) 2a, 2b, 2c (1/2)x + (1/4), (1/2)y, (1/2)z; +((1/2), 0, 0) 16b 2 × 8a 2 × 16b
[2] Fdd2 (43) 2a, 2b, 2c (1/2)x, (1/2)y + (1/4), (1/2)z; +((1/2), 0, 0) 16b 2 × 8a 2 × 16b
[2] Fdd2 (43) 2a, 2b, 2c (1/2)x + (1/4), (1/2)y + (1/4), (1/2)z; +((1/2), 0, 0) 2 × 8a 16b 2 × 16b
   Enlarged unit cell, isomorphic
[3] Pnn2 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 2a; 4c 2b; 4c 3 × 4c
[p] Pnn2 pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 2a; ((p - 1)/2) × 4c 2b; ((p - 1)/2) × 4c p × 4c
p = prime > 2; u = 1, . . ., p - 1
[3] Pnn2 a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 2a; 4c 2b; 4c 3 × 4c
[p] Pnn2 a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 2a; ((p - 1)/2) × 4c 2b; ((p - 1)/2) × 4c p × 4c
p = prime > 2; u = 1, . . ., p - 1
[3] Pnn2 a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 3 × 2a 3 × 2b 3 × 4c
[p] Pnn2 a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) p × 2a p × 2b p × 4c
p = prime > 2; u = 1, . . ., p - 1


Nonconventional settings
        interchange letters and sequences in Hermann-Mauguin symbols, axes and coordinates:
P2nn ca abca xyzx
Pn2n cb abca xyzx










































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