[script p]41 4 Tetragonal
No. 24 [script p]41 Patterson symmetry [script p]4/m

symmetry group diagram

Origin on 41

Asymmetric unit 0 ≤ x; 0 ≤ y; 0 ≤ z ≤ 1

Symmetry operations

(1)  1   (2)  2(1/2)   0, 0, z(3)  4+(1/4)   0, 0, z(4)  4-(3/4)   0, 0, z

Generators selected (1); t(0, 0, 1); (2); (3)

Positions

Multiplicity, Wyckoff letter,
Site symmetry		 Coordinates Reflection conditions
 General:
4 a 1
(1) x, y, z(2) -x, -y, z + 1/2(3) -y, x, z + 1/4(4) y, -x, z + 3/4
l: l = 4n

Symmetry of special projections

Along [001]   4

Origin at 0, 0, z 		Along [100]   [script p]11g
a' = c   
Origin at x, 0, 0 		Along [110]   [script p]11g
a' = c   
Origin at x, x, 0

Maximal non-isotypic non-enantiomorphic subgroups

I[2] [script p]1121 (9)1; 2
IIa none
IIbnone

Maximal isotypic subgroups and enantiomorphic subgroups of lowest index

IIc[3] [script p]43 (c' = 3c) (26); [5] [script p]41 (c' = 5c) (24)

Minimal non-isotypic non-enantiomorphic supergroups

I[2] [script p]4122 (31)
II[2] [script p]42 (c' = 1/2c) (25)








































to end of page
to top of page