Monoclinic Superspace Groups

copyright (c) Jul. 1999 by Akiji Yamamoto

3 P2(0p0)0

x,y,z,t; -x,y,-z,t;

4 P2(0p0)s

x,y,z,t; -x,y,-z,1/2+t;

0k0m:m=2n

5 P21(0p0)0 equivalent group: P21(0p0)s

x,y,z,t; -x,1/2+y,-z,t;

0k0m:k=2n

6 P2(0p1/2)0

(0000;001/21/2)

x,y,z,t; -x,y,-z,t;

hklm:l+m=2n

7 P21(0p1/2)0

(0000;001/21/2)

x,y,z,t; -x,1/2+y,-z,t;

hklm:l+m=2n 0k0m:k=2n

8 P2(p0q)0

x,y,z,t; -x,y,-z,-t;

9 P21(p0q)0

x,y,z,t; -x,1/2+y,-z,-t;

0k00:k=2n

10 P2(p1/2q)0

(0000;01/201/2)

x,y,z,t; -x,y,-z,-t;

hklm:k+m=2n

11 C2(0p0)0

(0000;1/21/200)

x,y,z,t; -x,y,-z,t;

hklm:h+k=2n

12 C2(0p0)s

(0000;1/21/200)

x,y,z,t; -x,y,-z,1/2+t;

hklm:h+k=2n 0k0m:m=2n

13 C2(0p1/2)0

(0000;001/21/2;1/21/200;1/21/21/21/2)

x,y,z,t; -x,y,-z,t;

hklm:l+m=2n hklm:h+k=2n hklm:h+k+l+m=2n

14 C2(p0q)0

(0000;1/21/200)

x,y,z,t; -x,y,-z,-t;

hklm:h+k=2n

15 Pm(p0q)0

x,y,z,t; x,-y,z,t;

16 Pm(p0q)s

x,y,z,t; x,-y,z,1/2+t;

h0lm:m=2n

17 Pc(p0q)0 equivalent group: Pc(p0q)s Pa(p0q)0 Pa(p0q)s Pn(p0q)0 Pn(p0q)s

x,y,z,t; x,-y,1/2+z,t;

h0lm:l=2n

18 Pm(p1/2q)0

(0000;01/201/2)

x,y,z,t; x,-y,z,t;

hklm:k+m=2n

19 Pa(p1/2q)0 equivalent group: Pc(p1/2q)0 Pn(p1/2q)0

(0000;01/201/2)

x,y,z,t; 1/2+x,-y,z,t;

hklm:k+m=2n h0lm:h=2n

20 Pm(0p0)0

x,y,z,t; x,-y,z,-t;

21 Pc(0p0)0 equivalent group: Pa(0p0)0 Pn(0p0)0

x,y,z,t; x,-y,1/2+z,-t;

h0l0:l=2n

22 Pm(0p1/2)0

(0000;001/21/2)

x,y,z,t; x,-y,z,-t;

hklm:l+m=2n

23 Pa(0p1/2)0

(0000;001/21/2)

x,y,z,t; 1/2+x,-y,z,-t;

hklm:l+m=2n h0l0:h=2n

24 Cm(p0q)0

(0000;1/21/200)

x,y,z,t; x,-y,z,t;

hklm:h+k=2n

25 Cm(p0q)s

(0000;1/21/200)

x,y,z,t; x,-y,z,1/2+t;

hklm:h+k=2n h0lm:m=2n

26 Cc(p0q)0 equivalent group: Cc(p0q)s

(0000;1/21/200)

x,y,z,t; x,-y,1/2+z,t;

hklm:h+k=2n h0lm:l=2n

27 Cm(0p0)0

(0000;1/21/200)

x,y,z,t; x,-y,z,-t;

hklm:h+k=2n

28 Cc(0p0)0

(0000;1/21/200)

x,y,z,t; x,-y,1/2+z,-t;

hklm:h+k=2n h0l0:l=2n

29 Cm(0p1/2)0

(0000;001/21/2;1/21/200;1/21/21/21/2)

x,y,z,t; x,-y,z,-t;

hklm:l+m=2n hklm:h+k=2n hklm:h+k+l+m=2n

30 P2/m(0p0)00

x,y,z,t; -x,y,-z,t; -x,-y,-z,-t; x,-y,z,-t;

31 P2/c(0p0)00 equivalent group: P2/a(0p0)00 P2/n(0p0)00

x,y,z,t; -x,y,1/2-z,t; -x,-y,-z,-t; x,-y,1/2+z,-t;

h0l0:l=2n

32 P2/m(0p0)s0

x,y,z,t; -x,y,-z,1/2+t; -x,-y,-z,-t; x,-y,z,1/2-t;

0k0m:m=2n

33 P2/c(0p0)s0 equivalent group: P2/a(0p0)s0 P2/n(0p0)s0

x,y,z,t; -x,y,1/2-z,1/2+t; -x,-y,-z,-t; x,-y,1/2+z,1/2-t;

0k0m:m=2n h0l0:l=2n

34 P21/m(0p0)00 equivalent group: P21/m(0p0)s0

x,y,z,t; -x,1/2+y,-z,t; -x,-y,-z,-t; x,1/2-y,z,-t;

0k0m:k=2n

35 P21/c(0p0)00 equivalent group: P21/a(0p0)00 P21/n(0p0)00 P21/c(0p0)s0 P21/a(0p0)s0 P21/n(0p0)s0

x,y,z,t; -x,1/2+y,1/2-z,t; -x,-y,-z,-t; x,1/2-y,1/2+z,-t;

0k0m:k=2n h0l0:l=2n

36 P2/m(0p1/2)00

(0000;001/21/2)

x,y,z,t; -x,y,-z,t; -x,-y,-z,-t; x,-y,z,-t;

hklm:l+m=2n

37 P21/m(0p1/2)00

(0000;001/21/2)

x,y,z,t; -x,1/2+y,-z,t; -x,-y,-z,-t; x,1/2-y,z,-t;

hklm:l+m=2n 0k0m:k=2n

38 P2/a(0p1/2)00

(0000;001/21/2)

x,y,z,t; 1/2-x,y,-z,t; -x,-y,-z,-t; 1/2+x,-y,z,-t;

hklm:l+m=2n h0l0:h=2n

39 P21/a(0p1/2)00

(0000;001/21/2)

x,y,z,t; 1/2-x,1/2+y,-z,t; -x,-y,-z,-t; 1/2+x,1/2-y,z,-t;

hklm:l+m=2n 0k0m:k=2n h0l0:h=2n

40 P2/m(p0q)00

x,y,z,t; -x,y,-z,-t; -x,-y,-z,-t; x,-y,z,t;

41 P2/m(p0q)0s

x,y,z,t; -x,y,-z,1/2-t; -x,-y,-z,-t; x,-y,z,1/2+t;

h0lm:m=2n

42 P2/c(p0q)00 equivalent group: P2/c(p0q)0s P2/a(p0q)00 P2/a(p0q)0s P2/n(p0q)00 P2/n(p0q)0s

x,y,z,t; -x,y,1/2-z,-t; -x,-y,-z,-t; x,-y,1/2+z,t;

h0lm:l=2n

43 P21/m(p0q)00

x,y,z,t; -x,1/2+y,-z,-t; -x,-y,-z,-t; x,1/2-y,z,t;

0k00:k=2n

44 P21/m(p0q)0s

x,y,z,t; -x,1/2+y,-z,1/2-t; -x,-y,-z,-t; x,1/2-y,z,1/2+t;

0k00:k=2n h0lm:m=2n

45 P21/c(p0q)00 equivalent group: P21/c(p0q)0s P21/a(p0q)00 P21/a(p0q)0s P21/n(p0q)00 P21/n(p0q)0s

x,y,z,t; -x,1/2+y,1/2-z,-t; -x,-y,-z,-t; x,1/2-y,1/2+z,t;

0k00:k=2n h0lm:l=2n

46 P2/m(p1/2q)00

(0000;01/201/2)

x,y,z,t; -x,y,-z,-t; -x,-y,-z,-t; x,-y,z,t;

hklm:k+m=2n

47 P2/c(p1/2q)00 equivalent group: P2/a(p1/2q)00 P2/n(p1/2q)00

(0000;01/201/2)

x,y,z,t; -x,y,1/2-z,-t; -x,-y,-z,-t; x,-y,1/2+z,t;

hklm:k+m=2n h0lm:l=2n

48 C2/m(0p0)00

(0000;1/21/200)

x,y,z,t; -x,y,-z,t; -x,-y,-z,-t; x,-y,z,-t;

hklm:h+k=2n

49 C2/c(0p0)00

(0000;1/21/200)

x,y,z,t; -x,y,1/2-z,t; -x,-y,-z,-t; x,-y,1/2+z,-t;

hklm:h+k=2n h0l0:l=2n

50 C2/m(0p0)s0

(0000;1/21/200)

x,y,z,t; -x,y,-z,1/2+t; -x,-y,-z,-t; x,-y,z,1/2-t;

hklm:h+k=2n 0k0m:m=2n

51 C2/c(0p0)s0

(0000;1/21/200)

x,y,z,t; -x,y,1/2-z,1/2+t; -x,-y,-z,-t; x,-y,1/2+z,1/2-t;

hklm:h+k=2n 0k0m:m=2n h0l0:l=2n

52 C2/m(0p1/2)00

(0000;001/21/2;1/21/200;1/21/21/21/2)

x,y,z,t; -x,y,-z,t; -x,-y,-z,-t; x,-y,z,-t;

hklm:l+m=2n hklm:h+k=2n hklm:h+k+l+m=2n

53 C2/m(p0q)00

(0000;1/21/200)

x,y,z,t; -x,y,-z,-t; -x,-y,-z,-t; x,-y,z,t;

hklm:h+k=2n

54 C2/m(p0q)0s

(0000;1/21/200)

x,y,z,t; -x,y,-z,1/2-t; -x,-y,-z,-t; x,-y,z,1/2+t;

hklm:h+k=2n h0lm:m=2n

55 C2/c(p0q)00 equivalent group: C2/c(p0q)0s

(0000;1/21/200)

x,y,z,t; -x,y,1/2-z,-t; -x,-y,-z,-t; x,-y,1/2+z,t;

hklm:h+k=2n h0lm:l=2n