Fmm2 No. 42 C2v18


Axes Coordinates Wyckoff positions
4a 8b 8c 8d 16e
I Maximal translationengleiche subgroups
[2] Cm11 (8) a, b, (1/2)(-b + c) x, y + z, 2z 2a 4b 2 × 2a 4b 2 × 4b
[conventional setting] C1m1 b, a, (1/2)(-b - c) y - z, x, -2z
[2] C1m1 (8) a, b, (1/2)(-a + c) x + z, y, 2z 2a 4b 4b 2 × 2a 2 × 4b
[2] A112 (5) (1/2)(a - b), b, c 2x, x + y, z 2a 2 × 2b 4c 4c 2 × 4c
II Maximal klassengleiche subgroups
   Loss of centring translations
[2] Aea2 (41) 4a 8b 8b 8b 2 × 8b
[2] Bbe2 (41) 4a 8b 8b 8b 2 × 8b
[conventional setting] Aea2 b, -a, c y, -x, z
[2] Ama2 (40) x + (1/4), y + (1/4), z 4b 2 × 4a 2 × 4b 8c 2 × 8c
[2] Bbm2 (40) x + (1/4), y + (1/4), z 4b 2 × 4a 8c 2 × 4b 2 × 8c
[conventional setting] Ama2 b, -a, c y + (1/4), -x - (1/4), z
[2] Aem2 (39) x + (1/4), y + (1/4), z 4c 4a; 4b 8d 2 × 4c 2 × 8d
[2] Bme2 (39) x + (1/4), y + (1/4), z 4c 4a; 4b 2 × 4c 8d 2 × 8d
[conventional setting] Aem2 b, -a, c y + (1/4), -x - (1/4), z
[2] Amm2 (38) 2a; 2b 8f 4d; 4e 2 × 4c 2 × 8f
[2] Bmm2 (38) 2a; 2b 8f 2 × 4c 4d; 4e 2 × 8f
[conventional setting] Amm2 b, -a, c y, -x, z
[2] Ccc2 (37) x + (1/4), y + (1/4), z 4c 4a; 4b 8d 8d 2 × 8d
[2] Cmc21 (36) x, y + (1/4), z 4a 8b 2 × 4a 8b 2 × 8b
[2] Ccm21 (36) x + (1/4), y, z 4a 8b 8b 2 × 4a 2 × 8b
[conventional setting] Cmc21 b, -a, c y, -x - (1/4), z
[2] Cmm2 (35) 2a; 2b 2 × 4c 2 × 4e 2 × 4d 2 × 8f
   Enlarged unit cell, isomorphic
[3] Fmm2 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 4a; 8d 8b; 16e 8c; 16e 3 × 8d 3 × 16e
[p] Fmm2 pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 4a; ((p - 1)/2) × 8d 8b; ((p - 1)/2) × 16e 8c; ((p - 1)/2) × 16e p × 8d p × 16e
p = prime > 2; u = 1, . . ., p - 1
[3] Fmm2 a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 4a; 8c 8b; 16e 3 × 8c 8d; 16e 3 × 16e
[p] Fmm2 a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 4a; ((p - 1)/2) × 8c 8b; ((p - 1)/2) × 16e p × 8c 8d; ((p - 1)/2) × 16e p × 16e
p = prime > 2; u = 1, . . ., p - 1
[3] Fmm2 a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 3 × 4a 3 × 8b 3 × 8c 3 × 8d 3 × 16e
[p] Fmm2 a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) p × 4a p × 8b p × 8c p × 8d p × 16e
p = prime > 2; u = 1, . . ., p - 1


Nonconventional settings
        interchange letters and sequences in Hermann-Mauguin symbols, axes and coordinates:
F2mm ABCA abca abca xyzx
Fm2m ABCA abca abca xyzx










































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