Monoclinic Superspace Groups
copyright (c) Jul. 1999 by Akiji Yamamoto
x,y,z,t,u; -x,y,-z,t,u;
x,y,z,t,u; -x,y,-z,t,1/2+u;
0k0mn:n=2n
x,y,z,t,u; -x,1/2+y,-z,t,u;
0k0mn:k=2n
(00000;001/201/2)
x,y,z,t,u; -x,y,-z,t,u;
hklmn:l+n=2n
(00000;001/201/2)
x,y,z,t,u; -x,y,-z,1/2+t,u;
hklmn:l+n=2n 0k0mn:m=2n
(00000;001/201/2)
x,y,z,t,u; -x,1/2+y,-z,t,u;
hklmn:l+n=2n 0k0mn:k=2n
(00000;001/21/20;1/20001/2;1/201/21/21/2)
x,y,z,t,u; -x,y,-z,t,u;
hklmn:l+m=2n hklmn:h+n=2n hklmn:h+l+m+n=2n
(00000;001/21/20;1/20001/2;1/201/21/21/2)
x,y,z,t,u; -x,1/2+y,-z,t,u;
hklmn:l+m=2n hklmn:h+n=2n hklmn:h+l+m+n=2n 0k0mn:k=2n
x,y,z,t,u; -x,y,-z,-t,-u;
x,y,z,t,u; -x,1/2+y,-z,-t,-u;
0k000:k=2n
(00000;01/2001/2)
x,y,z,t,u; -x,y,-z,-t,-u;
hklmn:k+n=2n
x,y,z,t,u; -x,y,-z,t,-u;
x,y,z,t,u; -x,y,-z,1/2+t,-u;
0k0m0:m=2n
x,y,z,t,u; -x,1/2+y,-z,t,-u;
0k0m0:k=2n
(00000;01/2001/2)
x,y,z,t,u; -x,y,-z,t,-u;
hklmn:k+n=2n
(00000;01/2001/2)
x,y,z,t,u; -x,y,-z,1/2+t,-u;
hklmn:k+n=2n 0k0m0:m=2n
(00000;001/21/20)
x,y,z,t,u; -x,y,-z,t,-u;
hklmn:l+m=2n
(00000;001/21/20)
x,y,z,t,u; -x,1/2+y,-z,t,-u;
hklmn:l+m=2n 0k0m0:k=2n
(00000;001/21/20;01/2001/2;01/21/21/21/2)
x,y,z,t,u; -x,y,-z,t,-u;
hklmn:l+m=2n hklmn:k+n=2n hklmn:k+l+m+n=2n
(00000;0001/21/2)
x,y,z,t,u; -x,y,-z,t,-u;
hklmn:m+n=2n
(00000;0001/21/2)
x,y,z,t,u; -x,1/2+y,-z,t,-u;
hklmn:m+n=2n 0k0m0:k=2n
(00000;1/21/2000)
x,y,z,t,u; -x,y,-z,t,u;
hklmn:h+k=2n
(00000;1/21/2000)
x,y,z,t,u; -x,y,-z,t,1/2+u;
hklmn:h+k=2n 0k0mn:n=2n
(00000;001/201/2;1/21/2000;1/21/21/201/2)
x,y,z,t,u; -x,y,-z,t,u;
hklmn:l+n=2n hklmn:h+k=2n hklmn:h+k+l+n=2n
(00000;001/201/2;1/21/2000;1/21/21/201/2)
x,y,z,t,u; -x,y,-z,1/2+t,u;
hklmn:l+n=2n hklmn:h+k=2n hklmn:h+k+l+n=2n 0k0mn:m=2n
(00000;1/21/2000)
x,y,z,t,u; -x,y,-z,-t,-u;
hklmn:h+k=2n
(00000;1/21/2000)
x,y,z,t,u; -x,y,-z,t,-u;
hklmn:h+k=2n
(00000;1/21/2000)
x,y,z,t,u; -x,y,-z,1/2+t,-u;
hklmn:h+k=2n 0k0m0:m=2n
(00000;001/21/20;1/21/2000;1/21/21/21/20)
x,y,z,t,u; -x,y,-z,t,-u;
hklmn:l+m=2n hklmn:h+k=2n hklmn:h+k+l+m=2n
(00000;0001/21/2;1/21/2000;1/21/201/21/2)
x,y,z,t,u; -x,y,-z,t,-u;
hklmn:m+n=2n hklmn:h+k=2n hklmn:h+k+m+n=2n
x,y,z,t,u; x,-y,z,t,u;
x,y,z,t,u; x,-y,z,t,1/2+u;
h0lmn:n=2n
x,y,z,t,u; x,-y,1/2+z,t,u;
h0lmn:l=2n
(00000;01/2001/2)
x,y,z,t,u; x,-y,z,t,u;
hklmn:k+n=2n
(00000;01/2001/2)
x,y,z,t,u; 1/2+x,-y,z,t,u;
hklmn:k+n=2n h0lmn:h=2n
x,y,z,t,u; x,-y,z,-t,-u;
x,y,z,t,u; x,-y,1/2+z,-t,-u;
h0l00:l=2n
(00000;001/201/2)
x,y,z,t,u; x,-y,z,-t,-u;
hklmn:l+n=2n
(00000;001/201/2)
x,y,z,t,u; 1/2+x,-y,z,-t,-u;
hklmn:l+n=2n h0l00:h=2n
(00000;001/21/20;1/20001/2;1/201/21/21/2)
x,y,z,t,u; x,-y,z,-t,-u;
hklmn:l+m=2n hklmn:h+n=2n hklmn:h+l+m+n=2n
x,y,z,t,u; x,-y,z,t,-u;
x,y,z,t,u; x,-y,z,1/2+t,-u;
h0lm0:m=2n
x,y,z,t,u; x,-y,1/2+z,t,-u;
h0lm0:l=2n
(00000;001/201/2)
x,y,z,t,u; x,-y,z,t,-u;
hklmn:l+n=2n
(00000;001/201/2)
x,y,z,t,u; 1/2+x,-y,z,t,-u;
hklmn:l+n=2n h0lm0:h=2n
(00000;001/201/2)
x,y,z,t,u; x,-y,z,1/2+t,-u;
hklmn:l+n=2n h0lm0:m=2n
(00000;01/201/20)
x,y,z,t,u; x,-y,z,t,-u;
hklmn:k+m=2n
(00000;01/201/20)
x,y,z,t,u; 1/2+x,-y,z,t,-u;
hklmn:k+m=2n h0lm0:h=2n
(00000;001/201/2;01/201/20;01/21/21/21/2)
x,y,z,t,u; x,-y,z,t,-u;
hklmn:l+n=2n hklmn:k+m=2n hklmn:k+l+m+n=2n
(00000;001/201/2;01/201/20;01/21/21/21/2)
x,y,z,t,u; 1/2+x,-y,z,t,-u;
hklmn:l+n=2n hklmn:k+m=2n hklmn:k+l+m+n=2n h0lm0:h=2n
(00000;0001/21/2)
x,y,z,t,u; x,-y,z,t,-u;
hklmn:m+n=2n
(00000;0001/21/2)
x,y,z,t,u; 1/2+x,-y,z,t,-u;
hklmn:m+n=2n h0lm0:h=2n
(00000;1/21/2000)
x,y,z,t,u; x,-y,z,t,u;
hklmn:h+k=2n
(00000;1/21/2000)
x,y,z,t,u; x,-y,z,t,1/2+u;
hklmn:h+k=2n h0lmn:n=2n
(00000;1/21/2000)
x,y,z,t,u; x,-y,1/2+z,t,u;
hklmn:h+k=2n h0lmn:l=2n
(00000;1/21/2000)
x,y,z,t,u; x,-y,z,-t,-u;
hklmn:h+k=2n
(00000;1/21/2000)
x,y,z,t,u; x,-y,1/2+z,-t,-u;
hklmn:h+k=2n h0l00:l=2n
(00000;001/201/2;1/21/2000;1/21/21/201/2)
x,y,z,t,u; x,-y,z,-t,-u;
hklmn:l+n=2n hklmn:h+k=2n hklmn:h+k+l+n=2n
(00000;1/21/2000)
x,y,z,t,u; x,-y,z,t,-u;
hklmn:h+k=2n
(00000;1/21/2000)
x,y,z,t,u; x,-y,z,1/2+t,-u;
hklmn:h+k=2n h0lm0:m=2n
(00000;1/21/2000)
x,y,z,t,u; x,-y,1/2+z,t,-u;
hklmn:h+k=2n h0lm0:l=2n
(00000;001/201/2;1/21/2000;1/21/21/201/2)
x,y,z,t,u; x,-y,z,t,-u;
hklmn:l+n=2n hklmn:h+k=2n hklmn:h+k+l+n=2n
(00000;001/201/2;1/21/2000;1/21/21/201/2)
x,y,z,t,u; x,-y,z,1/2+t,-u;
hklmn:l+n=2n hklmn:h+k=2n hklmn:h+k+l+n=2n h0lm0:m=2n
(00000;0001/21/2;1/21/2000;1/21/201/21/2)
x,y,z,t,u; x,-y,z,t,-u;
hklmn:m+n=2n hklmn:h+k=2n hklmn:h+k+m+n=2n
(00000;0001/21/2;1/21/2000;1/21/201/21/2)
x,y,z,t,u; x,-y,1/2+z,t,-u;
hklmn:m+n=2n hklmn:h+k=2n hklmn:h+k+m+n=2n h0lm0:l=2n
x,y,z,t,u; -x,y,-z,t,u; -x,-y,-z,-t,-u; x,-y,z,-t,-u;
x,y,z,t,u; -x,y,1/2-z,t,u; -x,-y,-z,-t,-u; x,-y,1/2+z,-t,-u;
h0l00:l=2n
x,y,z,t,u; -x,y,-z,t,1/2+u; -x,-y,-z,-t,-u; x,-y,z,-t,1/2-u;
0k0mn:n=2n
x,y,z,t,u; -x,1/2+y,-z,t,u; -x,-y,-z,-t,-u; x,1/2-y,z,-t,-u;
0k0mn:k=2n
(00000;001/201/2)
x,y,z,t,u; -x,y,-z,t,u; -x,-y,-z,-t,-u; x,-y,z,-t,-u;
hklmn:l+n=2n
(00000;001/201/2)
x,y,z,t,u; -x,1/2+y,-z,t,u; -x,-y,-z,-t,-u; x,1/2-y,z,-t,-u;
hklmn:l+n=2n 0k0mn:k=2n
(00000;001/201/2)
x,y,z,t,u; 1/2-x,y,-z,t,u; -x,-y,-z,-t,-u; 1/2+x,-y,z,-t,-u;
hklmn:l+n=2n h0l00:h=2n
(00000;001/201/2)
x,y,z,t,u; 1/2-x,1/2+y,-z,t,u; -x,-y,-z,-t,-u; 1/2+x,1/2-y,z,-t,-u;
hklmn:l+n=2n 0k0mn:k=2n h0l00:h=2n
(00000;001/201/2)
x,y,z,t,u; -x,y,-z,1/2+t,u; -x,-y,-z,-t,-u; x,-y,z,1/2-t,-u;
hklmn:l+n=2n 0k0mn:m=2n
(00000;001/201/2)
x,y,z,t,u; 1/2-x,y,-z,1/2+t,u; -x,-y,-z,-t,-u; 1/2+x,-y,z,1/2-t,-u;
hklmn:l+n=2n 0k0mn:m=2n h0l00:h=2n
(00000;001/21/20;1/20001/2;1/201/21/21/2)
x,y,z,t,u; -x,y,-z,t,u; -x,-y,-z,-t,-u; x,-y,z,-t,-u;
hklmn:l+m=2n hklmn:h+n=2n hklmn:h+l+m+n=2n
(00000;001/21/20;1/20001/2;1/201/21/21/2)
x,y,z,t,u; -x,1/2+y,-z,t,u; -x,-y,-z,-t,-u; x,1/2-y,z,-t,-u;
hklmn:l+m=2n hklmn:h+n=2n hklmn:h+l+m+n=2n 0k0mn:k=2n
x,y,z,t,u; -x,y,-z,-t,-u; -x,-y,-z,-t,-u; x,-y,z,t,u;
x,y,z,t,u; -x,y,-z,-t,1/2-u; -x,-y,-z,-t,-u; x,-y,z,t,1/2+u;
h0lmn:n=2n
x,y,z,t,u; -x,y,1/2-z,-t,-u; -x,-y,-z,-t,-u; x,-y,1/2+z,t,u;
h0lmn:l=2n
x,y,z,t,u; -x,1/2+y,-z,-t,-u; -x,-y,-z,-t,-u; x,1/2-y,z,t,u;
0k000:k=2n
x,y,z,t,u; -x,1/2+y,-z,-t,1/2-u; -x,-y,-z,-t,-u; x,1/2-y,z,t,1/2+u;
0k000:k=2n h0lmn:n=2n
x,y,z,t,u; -x,1/2+y,1/2-z,-t,-u; -x,-y,-z,-t,-u; x,1/2-y,1/2+z,t,u;
0k000:k=2n h0lmn:l=2n
(00000;01/2001/2)
x,y,z,t,u; -x,y,-z,-t,-u; -x,-y,-z,-t,-u; x,-y,z,t,u;
hklmn:k+n=2n
(00000;01/2001/2)
x,y,z,t,u; -x,y,-z,1/2-t,-u; -x,-y,-z,-t,-u; x,-y,z,1/2+t,u;
hklmn:k+n=2n h0lmn:m=2n
(00000;01/2001/2)
x,y,z,t,u; -x,y,1/2-z,-t,-u; -x,-y,-z,-t,-u; x,-y,1/2+z,t,u;
hklmn:k+n=2n h0lmn:l=2n
x,y,z,t,u; -x,y,-z,t,-u; -x,-y,-z,-t,-u; x,-y,z,-t,u;
x,y,z,t,u; -x,y,-z,t,1/2-u; -x,-y,-z,-t,-u; x,-y,z,-t,1/2+u;
h0l0n:n=2n
x,y,z,t,u; -x,y,1/2-z,t,-u; -x,-y,-z,-t,-u; x,-y,1/2+z,-t,u;
h0l0n:l=2n
x,y,z,t,u; -x,y,-z,1/2+t,-u; -x,-y,-z,-t,-u; x,-y,z,1/2-t,u;
0k0m0:m=2n
x,y,z,t,u; -x,y,-z,1/2+t,1/2-u; -x,-y,-z,-t,-u; x,-y,z,1/2-t,1/2+u;
0k0m0:m=2n h0l0n:n=2n
x,y,z,t,u; -x,y,1/2-z,1/2+t,-u; -x,-y,-z,-t,-u; x,-y,1/2+z,1/2-t,u;
0k0m0:m=2n h0l0n:l=2n
x,y,z,t,u; -x,1/2+y,-z,t,-u; -x,-y,-z,-t,-u; x,1/2-y,z,-t,u;
0k0m0:k=2n
x,y,z,t,u; -x,1/2+y,-z,t,1/2-u; -x,-y,-z,-t,-u; x,1/2-y,z,-t,1/2+u;
0k0m0:k=2n h0l0n:n=2n
x,y,z,t,u; -x,1/2+y,1/2-z,t,-u; -x,-y,-z,-t,-u; x,1/2-y,1/2+z,-t,u;
0k0m0:k=2n h0l0n:l=2n
(00000;01/2001/2)
x,y,z,t,u; -x,y,-z,t,-u; -x,-y,-z,-t,-u; x,-y,z,-t,u;
hklmn:k+n=2n
(00000;01/2001/2)
x,y,z,t,u; -x,y,1/2-z,t,-u; -x,-y,-z,-t,-u; x,-y,1/2+z,-t,u;
hklmn:k+n=2n h0l0n:l=2n
(00000;01/2001/2)
x,y,z,t,u; -x,y,-z,1/2+t,-u; -x,-y,-z,-t,-u; x,-y,z,1/2-t,u;
hklmn:k+n=2n 0k0m0:m=2n
(00000;01/2001/2)
x,y,z,t,u; -x,y,1/2-z,1/2+t,-u; -x,-y,-z,-t,-u; x,-y,1/2+z,1/2-t,u;
hklmn:k+n=2n 0k0m0:m=2n h0l0n:l=2n
(00000;001/21/20)
x,y,z,t,u; -x,y,-z,t,-u; -x,-y,-z,-t,-u; x,-y,z,-t,u;
hklmn:l+m=2n
(00000;001/21/20)
x,y,z,t,u; -x,y,-z,t,1/2-u; -x,-y,-z,-t,-u; x,-y,z,-t,1/2+u;
hklmn:l+m=2n h0l0n:n=2n
(00000;001/21/20)
x,y,z,t,u; -x,1/2+y,-z,t,-u; -x,-y,-z,-t,-u; x,1/2-y,z,-t,u;
hklmn:l+m=2n 0k0m0:k=2n
(00000;001/21/20)
x,y,z,t,u; -x,1/2+y,-z,t,1/2-u; -x,-y,-z,-t,-u; x,1/2-y,z,-t,1/2+u;
hklmn:l+m=2n 0k0m0:k=2n h0l0n:n=2n
(00000;001/21/20)
x,y,z,t,u; 1/2-x,y,-z,t,-u; -x,-y,-z,-t,-u; 1/2+x,-y,z,-t,u;
hklmn:l+m=2n h0l0n:h=2n
(00000;001/21/20)
x,y,z,t,u; 1/2-x,1/2+y,-z,t,-u; -x,-y,-z,-t,-u; 1/2+x,1/2-y,z,-t,u;
hklmn:l+m=2n 0k0m0:k=2n h0l0n:h=2n
(00000;001/21/20;01/2001/2;01/21/21/21/2)
x,y,z,t,u; -x,y,-z,t,-u; -x,-y,-z,-t,-u; x,-y,z,-t,u;
hklmn:l+m=2n hklmn:k+n=2n hklmn:k+l+m+n=2n
(00000;001/21/20;01/2001/2;01/21/21/21/2)
x,y,z,t,u; -x,y,-z,t,-u; 1/2-x,-y,-z,-t,-u; 1/2+x,-y,z,-t,u;
hklmn:l+m=2n hklmn:k+n=2n hklmn:k+l+m+n=2n h0l0n:h=2n
(00000;0001/21/2)
x,y,z,t,u; -x,y,-z,t,-u; -x,-y,-z,-t,-u; x,-y,z,-t,u;
hklmn:m+n=2n
(00000;0001/21/2)
x,y,z,t,u; -x,1/2+y,-z,t,-u; -x,-y,-z,-t,-u; x,1/2-y,z,-t,u;
hklmn:m+n=2n 0k0m0:k=2n
(00000;0001/21/2)
x,y,z,t,u; -x,y,1/2-z,t,-u; -x,-y,-z,-t,-u; x,-y,1/2+z,-t,u;
hklmn:m+n=2n h0l0n:l=2n
(00000;0001/21/2)
x,y,z,t,u; -x,1/2+y,1/2-z,t,-u; -x,-y,-z,-t,-u; x,1/2-y,1/2+z,-t,u;
hklmn:m+n=2n 0k0m0:k=2n h0l0n:l=2n
(00000;1/21/2000)
x,y,z,t,u; -x,y,-z,t,u; -x,-y,-z,-t,-u; x,-y,z,-t,-u;
hklmn:h+k=2n
(00000;1/21/2000)
x,y,z,t,u; -x,y,1/2-z,t,u; -x,-y,-z,-t,-u; x,-y,1/2+z,-t,-u;
hklmn:h+k=2n h0l00:l=2n
(00000;1/21/2000)
x,y,z,t,u; -x,y,-z,t,1/2+u; -x,-y,-z,-t,-u; x,-y,z,-t,1/2-u;
hklmn:h+k=2n 0k0mn:n=2n
(00000;001/201/2;1/21/2000;1/21/21/201/2)
x,y,z,t,u; -x,y,-z,t,u; -x,-y,-z,-t,-u; x,-y,z,-t,-u;
hklmn:l+n=2n hklmn:h+k=2n hklmn:h+k+l+n=2n
(00000;001/201/2;1/21/2000;1/21/21/201/2)
x,y,z,t,u; -x,y,-z,1/2+t,u; -x,-y,-z,-t,-u; x,-y,z,1/2-t,-u;
hklmn:l+n=2n hklmn:h+k=2n hklmn:h+k+l+n=2n 0k0mn:m=2n
(00000;1/21/2000)
x,y,z,t,u; -x,y,-z,-t,-u; -x,-y,-z,-t,-u; x,-y,z,t,u;
hklmn:h+k=2n
(00000;1/21/2000)
x,y,z,t,u; -x,y,-z,-t,1/2-u; -x,-y,-z,-t,-u; x,-y,z,t,1/2+u;
hklmn:h+k=2n h0lmn:n=2n
(00000;1/21/2000)
x,y,z,t,u; -x,y,1/2-z,-t,-u; -x,-y,-z,-t,-u; x,-y,1/2+z,t,u;
hklmn:h+k=2n h0lmn:l=2n
(00000;1/21/2000)
x,y,z,t,u; -x,y,-z,t,-u; -x,-y,-z,-t,-u; x,-y,z,-t,u;
hklmn:h+k=2n
(00000;1/21/2000)
x,y,z,t,u; -x,y,-z,t,1/2-u; -x,-y,-z,-t,-u; x,-y,z,-t,1/2+u;
hklmn:h+k=2n h0l0n:n=2n
(00000;1/21/2000)
x,y,z,t,u; -x,y,1/2-z,t,-u; -x,-y,-z,-t,-u; x,-y,1/2+z,-t,u;
hklmn:h+k=2n h0l0n:l=2n
(00000;1/21/2000)
x,y,z,t,u; -x,y,-z,1/2+t,-u; -x,-y,-z,-t,-u; x,-y,z,1/2-t,u;
hklmn:h+k=2n 0k0m0:m=2n
(00000;1/21/2000)
x,y,z,t,u; -x,y,-z,1/2+t,1/2-u; -x,-y,-z,-t,-u; x,-y,z,1/2-t,1/2+u;
hklmn:h+k=2n 0k0m0:m=2n h0l0n:n=2n
(00000;1/21/2000)
x,y,z,t,u; -x,y,1/2-z,1/2+t,-u; -x,-y,-z,-t,-u; x,-y,1/2+z,1/2-t,u;
hklmn:h+k=2n 0k0m0:m=2n h0l0n:l=2n
(00000;001/21/20;1/21/2000;1/21/21/21/20)
x,y,z,t,u; -x,y,-z,t,-u; -x,-y,-z,-t,-u; x,-y,z,-t,u;
hklmn:l+m=2n hklmn:h+k=2n hklmn:h+k+l+m=2n
(00000;001/21/20;1/21/2000;1/21/21/21/20)
x,y,z,t,u; -x,y,-z,t,1/2-u; -x,-y,-z,-t,-u; x,-y,z,-t,1/2+u;
hklmn:l+m=2n hklmn:h+k=2n hklmn:h+k+l+m=2n h0l0n:n=2n
(00000;0001/21/2;1/21/2000;1/21/201/21/2)
x,y,z,t,u; -x,y,-z,t,-u; -x,-y,-z,-t,-u; x,-y,z,-t,u;
hklmn:m+n=2n hklmn:h+k=2n hklmn:h+k+m+n=2n
(00000;0001/21/2;1/21/2000;1/21/201/21/2)
x,y,z,t,u; -x,y,1/2-z,t,-u; -x,-y,-z,-t,-u; x,-y,1/2+z,-t,u;
hklmn:m+n=2n hklmn:h+k=2n hklmn:h+k+m+n=2n h0l0n:l=2n