I-4m2 No. 119 D2d9


Axes Coordinates Wyckoff positions
2a 2b 2c 2d 4e 4f
8g 8h 8i 16j
I Maximal translationengleiche subgroups
[2] I-4 (82) 2a 2b 2c 2d 4e 4f
8g 8g 8g 2 × 8g
[2] Imm2 2a 2a 2b 2b 2 × 2a 2 × 2b
(44) 8e 8e 4c; 4d 2 × 8e
[2] F222 a - b, (1/2)(x - y), (1/2)(x + y), z 4a 4b 4d 4c 8g 8h
(22) a + b, c 8e; 8f 8i; 8j 16k 2 × 16k
II Maximal klassengleiche subgroups
   Loss of centring translations
[2] P-4n2 2a 2b 2c 2d 4e 4h
(118) 8i 4f; 4g 8i 2 × 8i
[2] P-4n2 x + (1/2), y, z + (1/4) 2d 2c 2a 2b 4h 4e
(118) 4f; 4g 8i 8i 2 × 8i
[2] P-4m2 1a; 1c 1b; 1d 2g 2g 2e; 2f 2 × 2g
(115) 4h; 4i 8l 4j; 4k 2 × 8l
[2] P-4m2 x + (1/2), y, z + (1/4) 2g 2g 1a; 1c 1b; 1d 2 × 2g 2e; 2f
(115) 8l 4h; 4i 4j; 4k 2 × 8l
   Enlarged unit cell, isomorphic
[3] I-4m2 a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 2a; 4e 2b; 4e 2d; 4f 2c; 4f 3 × 4e 3 × 4f
8g; 16j 8h; 16j 3 × 8i 3 × 16j
[p] I-4m2 a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) 2a; ((p - 1)/2) × 4e 2b; ((p - 1)/2) × 4e 2c(d*); ((p - 1)/2) × 4f 2d(c*); ((p - 1)/2) × 4f p × 4e p × 4f
p = prime > 2; 8g; ((p - 1)/2) × 16j 8h; ((p - 1)/2) × 16j p × 8i p × 16j
u = 1, . . ., p - 1
[9] I-4m2 3a, 3b, c (1/3)x, (1/3)y, z; 2a; 8g; 8i 2b; 8g; 8i 2c; 8h; 8i 2d; 8h; 8i 4e; 2 × 8i; 16j 4f; 2 × 8i; 16j
±((1/3), 0, 0); ±(0, (1/3), 0); 3 × 8g; 3 × 16j 3 × 8h; 3 × 16j 3 × 8i; 3 × 16j 9 × 16j
±((1/3), (1/3), 0); ±((1/3), (2/3), 0)
[p2] I-4m2 pa, pb, c (1/p)x, (1/p)y, z; +((u/p), (v/p), 0) 2a; ((p - 1)/2) × 8g; 2b; ((p - 1)/2) × 8g; 2c; ((p - 1)/2) × 8h; 2d; ((p - 1)/2) × 8h; 4e; (p - 1) × 8i; 4f; (p - 1) × 8i;
p = prime > 2; ((p - 1)/2) × 8i; ((p - 1)/2) × 8i; ((p - 1)/2) × 8i; ((p - 1)/2) × 8i; (((p - 1)2)/4) × 16j (((p - 1)2)/4) × 16j
u, v = 1, . . ., p - 1 (((p - 1)(p - 3))/8) × 16j (((p - 1)(p - 3))/8) × 16j (((p - 1)(p - 3))/8) × 16j (((p - 1)(p - 3))/8) × 16j
p × 8g; p × 8h; p × 8i; p2 × 16j
((p(p - 1))/2) × 16j ((p(p - 1))/2) × 16j ((p(p - 1))/2) × 16j
* p = 4n - 1









































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