P4/mnc No. 128 P4/m21/n2/c D4h6


Axes Coordinates Wyckoff positions
2a 2b 4c 4d 4e 8f
8g 8h 16i
I Maximal translationengleiche subgroups
[2] P-4n2 (118) 2a 2b 4h 2c; 2d 4e 2 × 4h
4f; 4g 8i 2 × 8i
[2] P-421c (114) 2a 2b 4d 4d 4c 2 × 4d
8e 8e 2 × 8e
[2] P4nc (104) 2a 2a 4b 4b 2 × 2a 2 × 4b
8c 8c 2 × 8c
[2] P4212 (90) x + (1/2), y, z + (1/4) 2c 2c 4d 2a; 2b 2 × 2c 2 × 4d
4e; 4f 8g 2 × 8g
[2] P4/m (83) 1a; 1d 1b; 1c 2e; 2f 4i 2g; 2h 2 × 4i
8l 4j; 4k 2 × 8l
[2] Pnnm (58) 2a 2b 2c; 2d 4f 4e 2 × 4f
8h 2 × 4g 2 × 8h
[2] Cccm (66) a - b, (1/2)(x - y) + (1/4), 4e 4f 4c; 4d 4a; 4b 8k 8i; 8j
a + b, c (1/2)(x + y) + (1/4), z 8g; 8h 2 × 8l 2 × 16m
II Maximal klassengleiche subgroups
   Enlarged unit cell, isomorphic
[3] P4/mnc a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 2a; 4e 2b; 4e 4c; 8f 4d; 8f 3 × 4e 3 × 8f
8g; 16i 8h; 16i 3 × 16i
[p] P4/mnc a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) 2a; ((p - 1)/2) × 4e 2b; ((p - 1)/2) × 4e 4c; ((p - 1)/2) × 8f 4d; ((p - 1)/2) × 8f p × 4e p × 8f
p = prime > 2 8g; ((p - 1)/2) × 16i 8h; ((p - 1)/2) × 16i p × 16i
u = 1, . . ., p - 1
[9] P4/mnc 3a, 3b, c (1/3)x, (1/3)y, z; 2a; 2 × 8h 2b; 2 × 8h 4c; 4 × 8h 4d; 2 × 8g; 16i 4e; 2 × 16i 8f; 4 × 16i
±((1/3), 0, 0); ±(0, (1/3), 0); 3 × 8g; 3 × 16i 9 × 8h 9 × 16i
±((1/3), (1/3), 0); ±((1/3), (2/3), 0)
[p2] P4/mnc pa, pb, c (1/p)x, (1/p)y, z; +((u/p), (v/p), 0) 2a; ((p2 - 1)/4) × 8h 2b; ((p2 - 1)/4) × 8h 4c; ((p2 - 1)/2) × 8h 4d; (p - 1) × 8g; 4e; ((p2 - 1)/4) × 16i 8f; ((p2 - 1)/2) × 16i
p = prime > 2; (((p - 1)2)/4) × 16i
u, v = 1, . . ., p - 1 p × 8g; ((p(p - 1))/2) × 16i p2 × 8h p2 × 16i









































to end of page
to top of page