Pnc2 No. 30 C2v6


Axes Coordinates Wyckoff positions
2a 2b 4c
I Maximal translationengleiche subgroups
[2] Pn11 (7) 2a 2a 2 × 2a
[conventional setting]P1n1 c, a, b z, x, y
[2] P1c1 (7) x, y + (1/4), z 2a 2a 2 × 2a
[2] P112 (3) 1a; 1c 1b; 1d 2 × 2e
II Maximal klassengleiche subgroups
   Enlarged unit cell, non-isomorphic
[2] Pnn2 (34) 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 2a; 2b 4c 2 × 4c
[2] Pnn2 (34) 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 4c 2a; 2b 2 × 4c
   Enlarged unit cell, isomorphic
[2] Pnc2 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 2a; 2b 4c 2 × 4c
[2] Pnc2 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 4c 2a; 2b 2 × 4c
[3] Pnc2 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 2a; 4c 2b; 4c 3 × 4c
[p] Pnc2 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] Pnc2 a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 2a; 4c 2b; 4c 3 × 4c
[p] Pnc2 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] Pnc2 a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 3 × 2a 3 × 2b 3 × 4c
[p] Pnc2 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:
P2na c → a a → b → c → a x→ y → z → x
Pb2n c→ b a← b ← c ← a x← y ← z ← x
Pcn2 a<-> -b x<-> -y
P2an c→ a a<-> -c x<-> -z
Pn2b c→ b b<-> -c y<-> -z









































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