Pmna No. 53 P2/m2/n21/a D2h7


Axes Coordinates Wyckoff positions
2a 2b 2c 2d 4e 4f 4g 4h 8i
I Maximal translationengleiche subgroups
[2] Pmn21 (31) 2a 2a 2a 2a 4b 4b 4b 2 × 2a 2 × 4b
[2] P2na (30) 2a 2a 2b 2b 2 × 2a 2 × 2b 4c 4c 2 × 4c
[conventional setting]Pnc2 b, c, a y, z, x
[2] Pm2a (28) x + (1/4), y, z + (1/4) 2c 2c 2c 2c 4d 4d 2a; 2b 2 × 2c 2 × 4d
[conventional setting]Pma2 a, c, -b x + (1/4), z + (1/4), -y
[2] P2221 (17) x + (1/4), y, z 2a 2a 2b 2b 2 × 2a 2 × 2b 2c; 2d 4e 2 × 4e
[2] P1121/a (14) 2a 2c 2d 2b 4e 4e 4e 4e 2 × 4e
[2] P12/n1 (13) 2a 2d 2b 2c 4g 4g 2e; 2f 4g 2 × 4g
[2] P2/m11 (10) 1a; 1e 1b; 1d 1f; 1g 1c; 1h 2i; 2j 2k; 2l 4o 2m; 2n 2 × 4o
[conventional setting]P12/m1 c, a, b z, x, y
II Maximal klassengleiche subgroups
   Enlarged unit cell, non-isomorphic
[2] Pbna (60) a, 2b, c x, (1/2)y, z; +(0, (1/2)0) 4a 4b 4c 4c 8d 2 × 4c 8d 8d 2 × 8d
[conventional setting]Pbcn c, a, 2b z, x, (1/2)y; +(0, 0, (1/2))
[2] Pbna (60) a, 2b, c x, (1/2)y + (1/4), z; +(0, (1/2)0) 4c 4c 4b 4a 2 × 4c 8d 8d 8d 2 × 8d
[conventional setting]Pbcn c, a, 2b z, x, (1/2)y + (1/4); +(0, 0, (1/2))
[2] Pmnn (58) a, 2b, c x, (1/2)y, z; +(0, (1/2), 0) 2a; 2d 2b; 2c 4g 4g 4e; 4f 8h 8h 2 × 4g 2 × 8h
[conventional setting]Pnnm 2b, c, a (1/2)y, z, x; +((1/2), 0, 0)
[2] Pmnn (58) a, 2b, c x, (1/2)y + (1/4), z; +(0, (1/2), 0) 4g 4g 2b; 2c 2a; 2d 8h 4e; 4f 8h 2 × 4g 2 × 8h
[conventional setting]Pnnm 2b, c, a (1/2)y + (1/4), z, x; +((1/2), 0, 0)
[2] Pbnn (52) a, 2b, c x, (1/2)y, z; +(0, (1/2), 0) 4a 4b 4c 4c 8e 2 × 4c 2 × 4d 8e 2 × 8e
[conventional setting]Pnna 2b, c, a (1/2)y, z, x; +((1/2), 0, 0)
[2] Pbnn (52) a, 2b, c x, (1/2)y + (1/4), z; +(0, (1/2), 0) 4c 4c 4b 4a 2 × 4c 8e 2 × 4d 8e 2 × 8e
[conventional setting]Pnna 2b, c, a (1/2)y + (1/4), z, x; +((1/2), 0, 0)
   Enlarged unit cell, isomorphic
[3] Pmna 3a, b, c (1/3)x, y, z; ±((1/3), 0, 0) 2a; 4e 2b; 4e 2c; 4f 2d; 4f 3 × 4e 3 × 4f 4g; 8i 4h; 8i 3 × 8i
[p] Pmna pa, b, c (1/p)x, y, z; +((u/p), 0, 0) 2a; 2b; 2c; 2d; p × 4e p × 4f 4g; 4h; p × 8i
p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × 4e ((p - 1)/2) × 4e ((p - 1)/2) × 4f ((p - 1)/2) × 4f ((p - 1)/2) × 8i ((p - 1)/2) × 8i
[2] Pmna a, 2b, c x, (1/2)y, z; +(0, (1/2), 0) 2a; 2d 2b; 2c 4h 4h 4e; 4f 8i 2 × 4g 2 × 4h 2 × 8i
[2] Pmna a, 2b, c x, (1/2)y + (1/4), z; +(0, (1/2), 0) 4h 4h 2b; 2c 2a; 2d 8i 4e; 4f 2 × 4g 2 × 4h 2 × 8i
[3] Pmna a, 3b, c x, (1/3)y, z; ±(0, (1/3), 0) 2a; 4h 2b; 4h 2c; 4h 2d; 4h 4e; 8i 4f; 8i 3 × 4g 3 × 4h 3 × 8i
[p] Pmna a, pb, c x, (1/p)y, z; +(0, (u/p), 0) 2a; 2b; 2c; 2d; 4e; 4f; p × 4g p × 4h p × 8i
p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × 4h ((p - 1)/2) × 4h ((p - 1)/2) × 4h ((p - 1)/2) × 4h ((p - 1)/2) × 8i ((p - 1)/2) × 8i
[3] Pmna a, b, 3c x, y, (1/3)z; ±(0, 0, (1/3)) 2a; 4h 2b; 4h 2c; 4h 2d; 4h 4e; 8i 4f; 8i 4g; 8i 3 × 4h 3 × 8i
[p] Pmna a, b, pc x, y, (1/p)z; +(0, 0, (u/p)) 2a; 2b; 2c; 2d; 4e; 4f; 4g; p × 4h p × 8i
p = prime > 2; u = 1, . . ., p - 1 ((p - 1)/2) × 4h ((p - 1)/2) × 4h ((p - 1)/2) × 4h ((p - 1)/2) × 4h ((p - 1)/2) × 8i ((p - 1)/2) × 8i ((p - 1)/2) × 8i


Nonconventional settings
        interchange letters and sequences in Hermann-Mauguin symbols, axes and coordinates:
Pbmn a→ b → c → a a→ b → c → a x→ y → z → x
Pncm a← b ← c ← a a← b ← c ← a x← y ← z ← x
Pnmb a<-> b a<-> -b x<-> -y
Pcnm a<-> c a<-> -c x<-> -z
Pman b<-> c b<-> -c y<-> -z









































to end of page
to top of page