P42bc No. 106 C4v8


Axes Coordinates Wyckoff positions
4a 4b 8c
I Maximal translationengleiche subgroups
[2] P42 (77) 2a; 2b 2 × 2c 2 × 4d
[2] Pba2 (32) 2 × 2a 2 × 2b 2 × 4c
[2] Ccc2 (37) a - b, a + b, c (1/2)(x - y) + (1/4), (1/2)(x + y) + (1/4), z 2 × 4c 4a; 4b 2 × 8d
II Maximal klassengleiche subgroups
   Enlarged unit cell, isomorphic
[3] P42bc a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 3 × 4a 3 × 4b 3 × 8c
[p] P42bc a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) p × 4a p × 4b p × 8c
p = prime > 2; u = 1, . . ., p - 1
[9] P42bc 3a, 3b, c (1/3)x, (1/3)y, z; ±((1/3), 0, 0); ±(0, (1/3), 0); 4a; 4 × 8c 4b; 4 × 8c 9 × 8c
±((1/3), (1/3), 0); ±((1/3), (2/3), 0)
[p2] P42bc pa, pb, c (1/p)x, (1/p)y, z; +((u/p), (v/p), 0) 4a; (1/2)(p2 - 1) × 8c 4b; (1/2)(p2 - 1) × 8c p2 × 8c
p = prime > 2; u, v = 1, . . ., p - 1










































to end of page
to top of page