Pmmm No. 47 P2/m2/m2/m D2h1


Axes Coordinates Wyckoff positions
1a 1b 1c 1d 1e 1f 1g 1h 2i 2j 2k
2l 2m 2n 2o 2p 2q 2r 2s 2t
4u 4v 4w 4x 4y 4z 8[alpha]
I Maximal translationengleiche subgroups
[2] P2mm 1a 1a 1b 1b 1c 1c 1d 1d 2 × 1a 2 × 1b 2 × 1c
(25) 2 × 1d 2e 2f 2e 2f 2g 2h 2g 2h
[conventional setting]Pmm2 b, c, a y, z, x 4i 4i 2 × 2g 2 × 2h 2 × 2e 2 × 2f 2 × 4i
[2] Pm2m 1a 1b 1c 1d 1a 1b 1c 1d 2g 2h 2g
(25) 2h 2 × 1a 2 × 1c 2 × 1b 2 × 1d 2e 2e 2f 2f
[conventional setting]Pmm2 c, a, b z, x, y 2 × 2e 2 × 2f 4i 4i 2 × 2g 2 × 2h 2 × 4i
[2] Pmm2 1a 1c 1a 1c 1b 1d 1b 1d 2e 2e 2f
(25) 2f 2g 2g 2h 2h 2 × 1a 2 × 1b 2 × 1c 2 × 1d
2 × 2g 2 × 2h 2 × 2e 2 × 2f 4i 4i 2 × 4i
[2] P222 1a 1b 1d 1f 1c 1e 1g 1h 2i 2j 2k
(16) 2l 2m 2n 2o 2p 2q 2s 2r 2t
4u 4u 4u 4u 4u 4u 2 × 4u
[2] P2/m11 1a 1b 1d 1e 1c 1f 1g 1h 2i 2j 2k
(10) 2l 2m 2m 2n 2n 2m 2m 2n 2n
[conventional setting]P12/m1 c, a, b z, x, y 2 × 2m 2 × 2n 4o 4o 4o 4o 2 × 4o
[2] P12/m1 1a 1d 1c 1g 1b 1e 1f 1h 2m 2m 2n
(10) 2n 2i 2k 2j 2l 2m 2n 2m 2n
4o 4o 2 × 2m 2 × 2n 4o 4o 2 × 4o
[2] P112/m 1a 1c 1b 1f 1d 1g 1e 1h 2m 2n 2m
(10) 2n 2m 2n 2m 2n 2i 2j 2k 2l
4o 4o 4o 4o 2 × 2m 2 × 2n 2 × 4o
II Maximal klassengleiche subgroups
   Enlarged unit cell, non-isomorphic
[2] Fmmm 2a, 2b, 2c (1/2)x, (1/2)y, (1/2)z; +((1/2), 0, 0) 4a; 4b 8g 8i 8d 8h 8e 8c 8f 2 × 8g 16n 16o
(69) 16l 2 × 8h 16m 16o 16k 2 × 8i 16m 16n 16j
2 × 16m 32p 2 × 16n 32p 2 × 16o 32p 2 × 32p
[2] Fmmm 2a, 2b, 2c (1/2)x + (1/4), (1/2)y, (1/2)z; 8g 4a; 4b 8d 8i 8e 8h 8f 8c 2 × 8g 16n 16o
(69) +((1/2), 0, 0) 16l 16o 16k 2 × 8h 16m 16n 16j 2 × 8i 16m
32p 2 × 16m 2 × 16n 32p 2 × 16o 32p 2 × 32p
[2] Fmmm 2a, 2b, 2c (1/2)x, (1/2)y + (1/4), (1/2)z; 8h 8e 8c 8f 4a; 4b 8g 8i 8d 16o 16l 2 × 8g
(69) +((1/2), 0, 0) 16n 2 × 8h 16m 16o 16k 16m 2 × 8i 16j 16n
2 × 16m 32p 32p 2 × 16n 2 × 16o 32p 2 × 32p
[2] Fmmm 2a, 2b, 2c (1/2)x, (1/2)y, (1/2)z + (1/4); 8i 8d 4a; 4b 8g 8c 8f 8h 8e 16n 2 × 8g 16l
(69) +((1/2), 0, 0) 16o 16m 2 × 8h 16k 16o 2 × 8i 16m 16n 16j
2 × 16m 32p 2 × 16n 32p 32p 2 × 16o 2 × 32p
[2] Fmmm 2a, 2b, 2c (1/2)x, (1/2)y + (1/4), (1/2)z + (1/4); 8c 8f 8h 8e 8i 8d 4a; 4b 8g 16l 16o 16n
(69) +((1/2), 0, 0) 2 × 8g 16m 2 × 8h 16k 16o 16m 2 × 8i 16j 16n
2 × 16m 32p 32p 2 × 16n 32p 2 × 16o 2 × 32p
[2] Fmmm 2a, 2b, 2c (1/2)x + (1/4), (1/2)y, (1/2)z + (1/4); 8d 8i 8g 4a; 4b 8f 8c 8e 8h 16n 2 × 8g 16l
(69) +((1/2), 0, 0) 16o 16k 16o 16m 2 × 8h 16n 16j 2 × 8i 16m
32p 2 × 16m 2 × 16n 32p 32p 2 × 16o 2 × 32p
[2] Fmmm 2a, 2b, 2c (1/2)x + (1/4), (1/2)y + (1/4), (1/2)z; 8e 8h 8f 8c 8g 4a; 4b 8d 8i 16o 16l 2 × 8g
(69) +((1/2), 0, 0) 16n 16o 16k 2 × 8h 16m 16j 16n 16m 2 × 8i
32p 2 × 16m 32p 2 × 16n 2 × 16o 32p 2 × 32p
[2] Fmmm 2a, 2b, 2c (1/2)x + (1/4), (1/2)y + (1/4), (1/2)z + (1/4); 8f 8c 8e 8h 8d 8i 8g 4a; 4b 16l 16o 16n
(69) +((1/2), 0, 0) 2 × 8g 16k 16o 16m 2 × 8h 16j 16n 16m 2 × 8i
32p 2 × 16m 32p 2 × 16n 32p 2 × 16o 2 × 32p
[2] Aemm a, 2b, 2c x, (1/2)y, (1/2)z; +(0, (1/2), 0) 4c 4d 4g 4g 4a 4b 4e 4f 8m 2 × 4g 8l
(67) 8n 8h 8n 8i 8n 8m 8j 8m 8k
[conventional setting]Cmme 2b, 2c, a (1/2)y, (1/2)z, x; +((1/2), 0, 0) 16o 16o 2 × 8m 16o 16o 2 × 8n 2 × 16o
[2] Aemm a, 2b, 2c x, (1/2)y + (1/4), (1/2)z; +(0, (1/2), 0) 4a 4b 4e 4f 4c 4d 4g 4g 8l 8n 8m
(67) 2 × 4g 8h 8n 8i 8n 8j 8m 8k 8m
[conventional setting]Cmme 2b, 2c, a (1/2)y + (1/4), (1/2)z, x; +((1/2), 0, 0) 16o 16o 16o 2 × 8m 16o 2 × 8n 2 × 16o
[2] Aemm a, 2b, 2c x, (1/2)y, (1/2)z + (1/4); +(0, (1/2), 0) 4g 4g 4c 4d 4e 4f 4a 4b 2 × 4g 8m 8n
(67) 8l 8n 8h 8n 8i 8m 8j 8m 8k
[conventional setting]Cmme 2b, 2c, a (1/2)y, (1/2)z + (1/4), x; +((1/2), 0, 0) 16o 16o 2 × 8m 16o 2 × 8n 16o 2 × 16o
[2] Aemm a, 2b, 2c x, (1/2)y + (1/4), (1/2)z + (1/4); +(0, (1/2), 0) 4e 4f 4a 4b 4g 4g 4c 4d 8n 8l 2 × 4g
(67) 8m 8n 8h 8n 8i 8j 8m 8k 8m
[conventional setting]Cmme 2b, 2c, a (1/2)y + (1/4), (1/2)z + (1/4), x; +((1/2), 0, 0) 16o 16o 16o 2 × 8m 2 × 8n 16o 2 × 16o
[2] Bmem 2a, b, 2c (1/2)x, y, (1/2)z; +((1/2), 0, 0) 4c 4g 4a 4e 4d 4g 4b 4f 8m 8j 8m
(67) 8k 8m 8l 2 × 4g 8n 8h 8i 8n 8n
[conventional setting]Cmme 2c, 2a, b (1/2)z, (1/2)x, y; +(0, (1/2), 0) 16o 2 × 8n 16o 16o 2 × 8m 16o 2 × 16o
[2] Bmem 2a, b, 2c (1/2)x + (1/4), y, (1/2)z; +((1/2), 0, 0) 4g 4c 4e 4a 4g 4d 4f 4b 8m 8j 8m
(67) 8k 2 × 4g 8n 8m 8l 8n 8n 8h 8i
[conventional setting]Cmme 2c, 2a, b (1/2)z, (1/2)x + (1/4), y; +(0, (1/2), 0) 2 × 8n 16o 16o 16o 2 × 8m 16o 2 × 16o
[2] Bmem 2a, b, 2c (1/2)x, y, (1/2)z + (1/4); +((1/2), 0, 0) 4a 4e 4c 4g 4b 4f 4d 4g 8j 8m 8k
(67) 8m 8l 8m 8n 2 × 4g 8h 8i 8n 8n
[conventional setting]Cmme 2c, 2a, b (1/2)z + (1/4), (1/2)x, y; +(0, (1/2), 0) 16o 2 × 8n 16o 16o 16o 2 × 8m 2 × 16o
[2] Bmem 2a, b, 2c (1/2)x + (1/4), y, (1/2)z + (1/4); +((1/2), 0, 0) 4e 4a 4g 4c 4f 4b 4g 4d 8j 8m 8k
(67) 8m 8n 2 × 4g 8l 8m 8n 8n 8h 8i
[conventional setting]Cmme 2c, 2a, b (1/2)z + (1/4), (1/2)x + (1/4), y; +(0, (1/2), 0) 2 × 8n 16o 16o 16o 16o 2 × 8m 2 × 16o
[2] Cmme 2a, 2b, c (1/2)x, (1/2)y, z; +((1/2), 0, 0) 4c 4a 4d 4b 4g 4e 4g 4f 8h 8i 8n
(67) 8n 8m 8m 8j 8k 8m 2 × 4g 8l 8n
2 × 8m 16o 16o 2 × 8n 16o 16o 2 × 16o
[2] Cmme 2a, 2b, c (1/2)x + (1/4), (1/2)y, z; +((1/2), 0, 0) 4a 4c 4b 4d 4e 4g 4f 4g 8h 8i 8n
(67) 8n 8j 8k 8m 8m 8l 8n 8m 2 × 4g
16o 2 × 8m 16o 2 × 8n 16o 16o 2 × 16o
[2] Cmme 2a, 2b, c (1/2)x, (1/2)y + (1/4), z; +((1/2), 0, 0) 4g 4e 4g 4f 4c 4a 4d 4b 8n 8n 8h
(67) 8i 8m 8m 8j 8k 2 × 4g 8m 8n 8l
2 × 8m 16o 2 × 8n 16o 16o 16o 2 × 16o
[2] Cmme 2a, 2b, c (1/2)x + (1/4), (1/2)y + (1/4), z; +((1/2), 0, 0) 4e 4g 4f 4g 4a 4c 4b 4d 8n 8n 8h
(67) 8i 8j 8k 8m 8m 8n 8l 2 × 4g 8m
16o 2 × 8m 2 × 8n 16o 16o 16o 2 × 16o
[2] Ammm a, 2b, 2c x, (1/2)y, (1/2)z; +(0, (1/2), 0) 2a; 2b 2c; 2d 4i 4j 4g 4h 4e 4f 4k; 4l 8n 8o
(65) 8m 2 × 4g 8p 2 × 4h 8q 2 × 4i 8p 2 × 4j 8q
[conventional setting]Cmmm 2b, 2c, a (1/2)y, (1/2)z, x; +((1/2), 0, 0) 2 × 8p 2 × 8q 2 × 8n 16r 2 × 8o 16r 2 × 16r
[2] Ammm a, 2b, 2c x, (1/2)y + (1/4), (1/2)z; +(0, (1/2), 0) 4g 4h 4e 4f 2a; 2b 2c; 2d 4i 4j 8o 8m 4k; 4l
(65) 8n 2 × 4g 8p 2 × 4h 8q 8p 2 × 4i 8q 2 × 4j
[conventional setting]Cmmm 2b, 2c, a (1/2)y + (1/4), (1/2)z, x; +((1/2), 0, 0) 2 × 8p 2 × 8q 16r 2 × 8n 2 × 8o 16r 2 × 16r
[2] Ammm a, 2b, 2c x, (1/2)y, (1/2)z + (1/4); +(0, (1/2), 0) 4i 4j 2a; 2b 2c; 2d 4e 4f 4g 4h 8n 4k; 4l 8m
(65) 8o 8p 2 × 4g 8q 2 × 4h 2 × 4i 8p 2 × 4j 8q
[conventional setting]Cmmm 2b, 2c, a (1/2)y, (1/2)z + (1/4), x; +((1/2), 0, 0) 2 × 8p 2 × 8q 2 × 8n 16r 16r 2 × 8o 2 × 16r
[2] Ammm a, 2b, 2c x, (1/2)y + (1/4), (1/2)z + (1/4); +(0, (1/2), 0) 4e 4f 4g 4h 4i 4j 2a; 2b 2c; 2d 8m 8o 8n
(65) 4k; 4l 8p 2 × 4g 8q 2 × 4h 8p 2 × 4i 8q 2 × 4j
[conventional setting]Cmmm 2b, 2c, a (1/2)y + (1/4), (1/2)z + (1/4), x; +((1/2), 0, 0) 2 × 8p 2 × 8q 16r 2 × 8n 16r 2 × 8o 2 × 16r
[2] Bmmm 2a, b, 2c (1/2)x, y, (1/2)z; +((1/2), 0, 0) 2a; 2b 4i 4g 4e 2c; 2d 4j 4h 4f 2 × 4i 8p 2 × 4j
(65) 8q 4k; 4l 8o 8n 8m 2 × 4g 2 × 4h 8p 8q
[conventional setting]Cmmm 2c, 2a, b (1/2)z, (1/2)x, y; +(0, (1/2), 0) 2 × 8o 16r 2 × 8p 2 × 8q 2 × 8n 16r 2 × 16r
[2] Bmmm 2a, b, 2c (1/2)x + (1/4), y, (1/2)z; +((1/2), 0, 0) 4i 2a; 2b 4e 4g 4j 2c; 2d 4f 4h 2 × 4i 8p 2 × 4j
(65) 8q 8n 8m 4k; 4l 8o 8p 8q 2 × 4g 2 × 4h
[conventional setting]Cmmm 2c, 2a, b (1/2)z, (1/2)x + (1/4), y; +(0, (1/2), 0) 16r 2 × 8o 2 × 8p 2 × 8q 2 × 8n 16r 2 × 16r
[2] Bmmm 2a, b, 2c (1/2)x, y, (1/2)z + (1/4); +((1/2), 0, 0) 4g 4e 2a; 2b 4i 4h 4f 2c; 2d 4j 8p 2 × 4i 8q
(65) 2 × 4j 8o 4k; 4l 8m 8n 2 × 4g 2 × 4h 8p 8q
[conventional setting]Cmmm 2c, 2a, b (1/2)z + (1/4), (1/2)x, y; +(0, (1/2), 0) 2 × 8o 16r 2 × 8p 2 × 8q 16r 2 × 8n 2 × 16r
[2] Bmmm 2a, b, 2c (1/2)x + (1/4), y, (1/2)z + (1/4); +((1/2), 0, 0) 4e 4g 4i 2a; 2b 4f 4h 4j 2c; 2d 8p 2 × 4i 8q
(65) 2 × 4j 8m 8n 8o 4k; 4l 8p 8q 2 × 4g 2 × 4h
[conventional setting]Cmmm 2c, 2a, b (1/2)z + (1/4), (1/2)x + (1/4), y; +(0, (1/2), 0) 16r 2 × 8o 2 × 8p 2 × 8q 16r 2 × 8n 2 × 16r
[2] Cmmm 2a, 2b, c (1/2)x, (1/2)y, z; +((1/2), 0, 0) 2a; 2b 4g 2c; 2d 4h 4i 4e 4j 4f 2 × 4g 2 × 4h 8p
(65) 8q 2 × 4i 2 × 4j 8p 8q 4k; 4l 8n 8o 8m
2 × 8n 16r 2 × 8o 16r 2 × 8p 2 × 8q 2 × 16r
[2] Cmmm 2a, 2b, c (1/2)x + (1/4), (1/2)y, z; +((1/2), 0, 0) 4g 2a; 2b 4h 2c; 2d 4e 4i 4f 4j 2 × 4g 2 × 4h 8p
(65) 8q 8p 8q 2 × 4i 2 × 4j 8o 8m 4k; 4l 8n
16r 2 × 8n 2 × 8o 16r 2 × 8p 2 × 8q 2 × 16r
[2] Cmmm 2a, 2b, c (1/2)x, (1/2)y + (1/4), z; +((1/2), 0, 0) 4i 4e 4j 4f 2a; 2b 4g 2c; 2d 4h 8p 8q 2 × 4g
(65) 2 × 4h 2 × 4i 2 × 4j 8p 8q 8n 4k; 4l 8m 8o
2 × 8n 16r 16r 2 × 8o 2 × 8p 2 × 8q 2 × 16r
[2] Cmmm 2a, 2b, c (1/2)x + (1/4), (1/2)y + (1/4), z; +((1/2), 0, 0) 4e 4i 4f 4j 4g 2a; 2b 4h 2c; 2d 8p 8q 2 × 4g
(65) 2 × 4h 8p 8q 2 × 4i 2 × 4j 8m 8o 8n 4k; 4l
16r 2 × 8n 16r 2 × 8o 2 × 8p 2 × 8q 2 × 16r
[2] Pmma 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 2a 2e 2c 2e 2b 2f 2d 2f 4i 4i 4j
(51) 4j 4g 4h 4k 4k 4i 4j 2 × 2e 2 × 2f
8l 2 × 4k 2 × 4i 2 × 4j 8l 8l 2 × 8l
[2] Pmma 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 2e 2a 2e 2c 2f 2b 2f 2d 4i 4i 4j
(51) 4j 4k 4k 4g 4h 2 × 2e 2 × 2f 4i 4j
2 × 4k 8l 2 × 4i 2 × 4j 8l 8l 2 × 8l
[2] Pmam 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 2a 2e 2b 2f 2c 2e 2d 2f 4i 4j 4i
(51) 4j 4i 4j 2 × 2e 2 × 2f 4g 4h 4k 4k
[conventional setting]Pmma 2a, -c, b (1/2)x, -z, y +((1/2), 0, 0) 8l 2 × 4k 8l 8l 2 × 4i 2 × 4j 2 × 8l


Axes Coordinates Wyckoff positions
1a 1b 1c 1d 1e 1f 1g 1h 2i 2j 2k 2l
2m 2n 2o 2p 2q 2r 2s 2t 4u
4v 4w 4x 4y 4z 8[alpha]
[2] Pmam 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 2e 2a 2f 2b 2e 2c 2f 2d 4i 4j 4i 4j
(51) 2 × 2e 2 × 2f 4i 4j 4k 4k 4g 4h 2 × 4k
[conventional setting]Pmma 2a, -c, b (1/2)x + (1/4), -z, y +((1/2), 0, 0) 8l 8l 8l 2 × 4i 2 × 4j 2 × 8l
[2] Pbmm a, 2b, c x, (1/2)y, z; +(0, (1/2), 0) 2a 2c 2b 2d 2e 2e 2f 2f 4i 4j 2 × 2e 2 × 2f
(51) 4i 4j 4i 4j 4g 4k 4h 4k 8l
[conventional setting]Pmma 2b, c, a (1/2)y, z, x; +((1/2), 0, 0) 8l 8l 2 × 4k 2 × 4i 2 × 4j 2 × 8l
[2] Pbmm a, 2b, c x, (1/2)y + (1/4), z; +(0, (1/2), 0) 2e 2e 2f 2f 2a 2c 2b 2d 2 × 2e 2 × 2f 4i 4j
(51) 4i 4j 4i 4j 4k 4g 4k 4h 8l
[conventional setting]Pmma 2b, c, a (1/2)y + (1/4), z, x; +((1/2), 0, 0) 8l 2 × 4k 8l 2 × 4i 2 × 4j 2 × 8l
[2] Pmmb a, 2b, c x, (1/2)y, z; +(0, (1/2), 0) 2a 2b 2c 2d 2e 2f 2e 2f 4g 4h 4k 4k
(51) 4i 4i 4j 4j 4i 2 × 2e 4j 2 × 2f 2 × 4i
[conventional setting]Pmma 2b, -a, c (1/2)y, -x, z; +((1/2), 0, 0) 2 × 4j 8l 2 × 4k 8l 8l 2 × 8l
[2] Pmmb a, 2b, c x, (1/2)y + (1/4), z; +(0, (1/2), 0) 2e 2f 2e 2f 2a 2b 2c 2d 4k 4k 4g 4h
(51) 4i 4i 4j 4j 2 × 2e 4i 2 × 2f 4j 2 × 4i
[conventional setting]Pmma 2b, -a, c (1/2)y + (1/4), -x, z; +((1/2), 0, 0) 2 × 4j 2 × 4k 8l 8l 8l 2 × 8l
[2] Pcmm a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 2a 2c 2e 2e 2b 2d 2f 2f 4i 2 × 2e 4j 2 × 2f
(51) 4g 4k 4h 4k 4i 4j 4i 4j 8l
[conventional setting]Pmma 2c, -b, a (1/2)z, -y, x; +((1/2), 0, 0) 8l 2 × 4i 2 × 4j 8l 2 × 4k 2 × 8l
[2] Pcmm a, b, 2c x, y, (1/2)z + (1/4); +(0, 0, (1/2)) 2e 2e 2a 2c 2f 2f 2b 2d 2 × 2e 4i 2 × 2f 4j
(51) 4k 4g 4k 4h 4i 4j 4i 4j 8l
[conventional setting]Pmma 2c, -b, a (1/2)z + (1/4), -y, x; +((1/2), 0, 0) 8l 2 × 4i 2 × 4j 2 × 4k 8l 2 × 8l
[2] Pmcm a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 2a 2b 2e 2f 2c 2d 2e 2f 4g 4k 4h 4k
(51) 4i 2 × 2e 4j 2 × 2f 4i 4i 4j 4j 2 × 4i
[conventional setting]Pmma 2c, a, b (1/2)z, x, y; +((1/2), 0, 0) 2 × 4j 8l 8l 8l 2 × 4k 2 × 8l
[2] Pmcm a, b, 2c x, y, (1/2)z + (1/4); +(0, 0, (1/2)) 2e 2f 2a 2b 2e 2f 2c 2d 4k 4g 4k 4h
(51) 2 × 2e 4i 2 × 2f 4j 4i 4i 4j 4j 2 × 4i
[conventional setting]Pmma 2c, a, b (1/2)z + (1/4), x, y; +((1/2), 0, 0) 2 × 4j 8l 8l 2 × 4k 8l 2 × 8l
[2] Pmaa 2a, b, c (1/2)x, y, z; +((1/2), 0, 0) 2a 2e 2c 2g 2d 2f 2b 2h 4m 4o 4p 4n
(49) 4q 4q 4i 4j 4q 4q 4k 4l 2 × 4q
[conventional setting]Pccm b, c, 2a y, z, (1/2)x; +(0, 0, (1/2)) 8r 8r 8r 8r 8r 2 × 8r
[2] Pmaa 2a, b, c (1/2)x + (1/4), y, z; +((1/2), 0, 0) 2e 2a 2g 2c 2f 2d 2h 2b 4m 4o 4p 4n
(49) 4i 4j 4q 4q 4k 4l 4q 4q 8r
[conventional setting]Pccm b, c, 2a y, z, (1/2)x + (1/4); +(0, 0, (1/2)) 2 × 4q 8r 8r 8r 8r 2 × 8r
[2] Pbmb a, 2b, c x, (1/2)y, z; +(0, (1/2), 0) 2a 2c 2d 2b 2e 2g 2f 2h 4q 4q 4k 4l
(49) 4m 4p 4o 4n 4q 4i 4q 4j 8r
[conventional setting]Pccm c, a, 2b z, x, (1/2)y; +(0, 0, (1/2)) 8r 2 × 4q 8r 8r 8r 2 × 8r
[2] Pbmb a, 2b, c x, (1/2)y + (1/4), z; +(0, (1/2), 0) 2e 2g 2f 2h 2a 2c 2d 2b 4k 4l 4q 4q
(49) 4m 4p 4o 4n 4i 4q 4j 4q 8r
[conventional setting]Pccm c, a, 2b z, x, (1/2)y + (1/4); +(0, 0, (1/2)) 8r 8r 2 × 4q 8r 8r 2 × 8r
[2] Pccm a, b, 2c x, y, (1/2)z; +(0, 0, (1/2)) 2a 2d 2e 2f 2c 2b 2g 2h 4q 4i 4q 4j
(49) 4q 4k 4q 4l 4m 4o 4p 4n 8r
8r 8r 8r 2 × 4q 8r 2 × 8r
[2] Pccm a, b, 2c x, y, (1/2)z + (1/4); +(0, 0, (1/2)) 2e 2f 2a 2d 2g 2h 2c 2b 4i 4q 4j 4q
(49) 4k 4q 4l 4q 4m 4o 4p 4n 8r
8r 8r 8r 8r 2 × 4q 2 × 8r


Axes Coordinates Wyckoff positions
  1a 1b 1c 1d 1e 1f 1g 1h 2i 2j
2k 2l 2m 2n 2o 2p 2q 2r 2s
2t 4u 4v 4w 4x 4y 4z 8[alpha]
   Enlarged unit cell, isomorphic
[2] Pmmm 2a, b, c (1/2)x, y, z; 1a; 1b 2i 1c; 1d 2j 1e; 1f 2k 1g; 1h 2l 2 × 2i 2 × 2j
+((1/2), 0, 0) 2 × 2k 2 × 2l 2m; 2o 2n; 2p 4y 4z 2q; 2s 2r; 2t 4w
4x 4u; 4v 8[alpha] 2 × 4w 2 × 4x 2 × 4y 2 × 4z 2 × 8[alpha]
[2] Pmmm 2a, b, c (1/2)x + (1/4), y, z; 2i 1a; 1b 2j 1c; 1d 2k 1e; 1f 2l 1g; 1h 2 × 2i 2 × 2j
+((1/2), 0, 0) 2 × 2k 2 × 2l 4y 4z 2m; 2o 2n; 2p 4w 4x 2q; 2s
2r; 2t 8[alpha] 4u; 4v 2 × 4w 2 × 4x 2 × 4y 2 × 4z 2 × 8[alpha]
[3] Pmmm 3a, b, c (1/3)x, y, z; 1a; 2i 1b; 2i 1c; 2j 1d; 2j 1e; 2k 1f; 2k 1g; 2l 1h; 2l 3 × 2i 3 × 2j
±((1/3), 0, 0) 3 × 2k 3 × 2l 2m; 4y 2n; 4z 2o; 4y 2p; 4z 2q; 4w 2r; 4x 2s; 4w
2t; 4x 4u; 8[alpha] 4v; 8[alpha] 3 × 4w 3 × 4x 3 × 4y 3 × 4z 3 × 8[alpha]
[p] Pmmm pa, b, c (1/p)x, y, z; 1a; 1b; 1c; 1d; 1e; 1f; 1g; 1h; p × 2i p × 2j
+((u/p), 0, 0) ((p - 1)/2) × 2i ((p - 1)/2) × 2i ((p - 1)/2) × 2j ((p - 1)/2) × 2j ((p - 1)/2) × 2k ((p - 1)/2) × 2k ((p - 1)/2) × 2l ((p - 1)/2) × 2l
p = prime > 2; p × 2k p × 2l 2m; 2n; 2o; 2p; 2q; 2r; 2s;
u = 1, . . ., p - 1 ((p - 1)/2) × 4y ((p - 1)/2) × 4z ((p - 1)/2) × 4y ((p - 1)/2) × 4z ((p - 1)/2) × 4w ((p - 1)/2) × 4x ((p - 1)/2) × 4w
2t; 4u; 4v; p × 4w p × 4x p × 4y p × 4z p × 8[alpha]
((p - 1)/2) × 4x ((p - 1)/2) × 8[alpha] ((p - 1)/2) × 8[alpha]
[2] Pmmm a, 2b, c x, (1/2)y, z; 1a; 1e 1b; 1f 1c; 1g 1d; 1h 2m 2o 2n 2p 2i; 2k 2j; 2l
+(0, (1/2), 0) 4y 4z 2 × 2m 2 × 2n 2 × 2o 2 × 2p 2q; 2r 4u 2s; 2t
4v 2 × 4u 2 × 4v 4w; 4x 8 [alpha] 2 × 4y 2 × 4z 2 × 8[alpha]
[2] Pmmm a, 2b, c x, (1/2)y + (1/4), z; 2m 2o 2n 2p 1a; 1e 1b; 1f 1c; 1g 1d; 1h 4y 4z
+(0, (1/2), 0) 2i; 2k 2j; 2l 2 × 2m 2 × 2n 2 × 2o 2 × 2p 4u 2q; 2r 4v
2s; 2t 2 × 4u 2 × 4v 8[alpha] 4w; 4x 2 × 4y 2 × 4z 2 × 8[alpha]
[3] Pmmm a, 3b, c x, (1/3)y, z; 1a; 2m 1b; 2o 1c; 2n 1d; 2p 1e; 2m 1f; 2o 1g; 2n 1h; 2p 2i; 4y 2j; 4z
±(0, (1/3), 0) 2k; 4y 2l; 4z 3 × 2m 3 × 2n 3 × 2o 3 × 2p 2q; 4u 2r; 4u 2s; 4v
2t; 4v 3 × 4u 3 × 4v 4w; 8[alpha] 4x; 8[alpha] 3 × 4y 3 × 4z 3 × 8[alpha]
[p] Pmmm a, pb, c x, (1/p)y, z; 1a; 1b; 1c; 1d; 1e; 1f; 1g; 1h; 2i; 2j;
+(0, (u/p), 0) ((p - 1)/2) × 2m ((p - 1)/2) × 2o ((p - 1)/2) × 2n ((p - 1)/2) × 2p ((p - 1)/2) × 2m ((p - 1)/2) × 2o ((p - 1)/2) × 2n ((p - 1)/2) × 2p ((p - 1)/2) × 4y ((p - 1)/2) × 4z
p = prime > 2; 2k; 2l; p × 2m p × 2n p × 2o p × 2p 2q; 2r; 2s;
u = 1, . . ., p - 1 ((p - 1)/2) × 4y ((p - 1)/2) × 4z ((p - 1)/2) × 4u ((p - 1)/2) × 4u ((p - 1)/2) × 4v
2t; p × 4u p × 4v 4w; 4x; p × 4y p × 4z p × 8[alpha]
((p - 1)/2) × 4v ((p - 1)/2) × 8[alpha] ((p - 1)/2) × 8[alpha]
[2] Pmmm a, b, 2c x, y, (1/2)z; 1a; 1c 1b; 1d 2q 2s 1e; 1g 1f; 1h 2r 2t 2i; 2j 4w
+(0, 0, (1/2)) 2k; 2l 4x 2m; 2n 4u 2o; 2p 4v 2 × 2q 2 × 2r 2 × 2s
2 × 2t 2 × 4u 2 × 4v 2 × 4w 2 × 4x 4y; 4z 8 [alpha] 2 × 8[alpha]
[2] Pmmm a, b, 2c x, y, (1/2)z + (1/4); 2q 2s 1a; 1c 1b; 1d 2r 2t 1e; 1g 1f; 1h 4w 2i; 2j
+(0, 0, (1/2)) 4x 2k; 2l 4u 2m; 2n 4v 2o; 2p 2 × 2q 2 × 2r 2 × 2s
2 × 2t 2 × 4u 2 × 4v 2 × 4w 2 × 4x 8[alpha] 4y; 4z 2 × 8[alpha]
[3] Pmmm a, b, 3c x, y, (1/3)z; 1a; 2q 1b; 2s 1c; 2q 1d; 2s 1e; 2r 1f; 2t 1g; 2r 1h; 2t 2i; 4w 2j; 4w
±(0, 0, (1/3)) 2k; 4x 2l; 4x 2m; 4u 2n; 4u 2o; 4v 2p; 4v 3 × 2q 3 × 2r 3 × 2s
3 × 2t 3 × 4u 3 × 4v 3 × 4w 3 × 4x 4y; 8[alpha] 4z; 8[alpha] 3 × 8[alpha]
[p] Pmmm a, b, pc x, y, (1/p)z; 1a; 1b; 1c; 1d; 1e; 1f; 1g; 1h; 2i; 2j;
+(0, 0, (u/p)) ((p - 1)/2) × 2q ((p - 1)/2) × 2s ((p - 1)/2) × 2q ((p - 1)/2) × 2s ((p - 1)/2) × 2r ((p - 1)/2) × 2t ((p - 1)/2) × 2r ((p - 1)/2) × 2t ((p - 1)/2) × 4w ((p - 1)/2) × 4w
p = prime > 2; 2k; 2l; 2m; 2n; 2o; 2p; p × 2q p × 2r p × 2s
u = 1, . . ., p - 1 ((p - 1)/2) × 4x ((p - 1)/2) × 4x ((p - 1)/2) × 4u ((p - 1)/2) × 4u ((p - 1)/2) × 4v ((p - 1)/2) × 4v
p × 2t p × 4u p × 4v p × 4w p × 4x 4y; 4z; p × 8[alpha]
((p - 1)/2) × 4[alpha] ((p - 1)/2) × 4[alpha]









































to end of page
to top of page