Monoclinic Superspace Groups

copyright (c) Jul. 1999 by Akiji Yamamoto


3 P2(0q0,0p0)0

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


4 P2(0q0,0p0).0s. equivalent group: P2(0q0,0p0).s0. P2(0q0,0p0).ss.

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

0k0mn:n=2n


5 P21(0q0,0p0)0 equivalent group: P21(0q0,0p0).0s. P21(0q0,0p0).s0. P21(0q0,0p0).ss.

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

0k0mn:k=2n


6 P2(0q0,0p1/2)0

(00000;001/201/2)

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

hklmn:l+n=2n


7 P2(0q0,0p1/2).s0.

(00000;001/201/2)

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

hklmn:l+n=2n 0k0mn:m=2n


8 P21(0q0,0p1/2)0 equivalent group: P21(0q0,0p1/2).s0.

(00000;001/201/2)

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

hklmn:l+n=2n 0k0mn:k=2n


9 P2(0q1/2,1/2p0)0

(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


10 P21(0q1/2,1/2p0)0

(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


11 P2(r0q,s0p)0

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


12 P21(r0q,s0p)0

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

0k000:k=2n


13 P2(r0q,s1/2p)0

(00000;01/2001/2)

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

hklmn:k+n=2n


14 P2(0r0,p0q)m

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


15 P2(0r0,p0q)g

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

0k0m0:m=2n


16 P21(0r0,p0q)m equivalent group: P21(0r0,p0q)g

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

0k0m0:k=2n


17 P2(0r0,p1/2q)m

(00000;01/2001/2)

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

hklmn:k+n=2n


18 P2(0r0,p1/2q)g

(00000;01/2001/2)

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

hklmn:k+n=2n 0k0m0:m=2n


19 P2(0r1/2,p0q)m

(00000;001/21/20)

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

hklmn:l+m=2n


20 P21(0r1/2,p0q)m

(00000;001/21/20)

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

hklmn:l+m=2n 0k0m0:k=2n


21 P2(0r1/2,p1/2q)m

(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


22 P2(-pr-q,prq)m

(00000;0001/21/2)

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

hklmn:m+n=2n


23 P21(-pr-q,prq)m

(00000;0001/21/2)

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

hklmn:m+n=2n 0k0m0:k=2n


24 C2(0q0,0p0)0

(00000;1/21/2000)

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

hklmn:h+k=2n


25 C2(0q0,0p0).0s. equivalent group: C2(0q0,0p0).s0. C2(0q0,0p0).ss.

(00000;1/21/2000)

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

hklmn:h+k=2n 0k0mn:n=2n


26 C2(0q0,0p1/2)0

(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


27 C2(0q0,0p1/2).s0.

(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


28 C2(s0q,r0p)0

(00000;1/21/2000)

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

hklmn:h+k=2n


29 C2(0p0,r0q)m

(00000;1/21/2000)

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

hklmn:h+k=2n


30 C2(0p0,r0q)g

(00000;1/21/2000)

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

hklmn:h+k=2n 0k0m0:m=2n


31 C2(0p1/2,r0q)m

(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


32 C2(-rq-p,rqp)m

(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


33 Pm(r0q,s0p)0

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


34 Pm(r0q,s0p).0s. equivalent group: Pm(r0q,s0p).s0. Pm(r0q,s0p).ss.

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

h0lmn:n=2n


35 Pc(r0q,s0p)0 equivalent group: Pc(r0q,s0p).0s. Pc(r0q,s0p).s0. Pc(r0q,s0p).ss. Pa(r0q,s0p)0 Pa(r0q,s0p).0s. Pa(r0q,s0p).s0. Pa(r0q,s0p).ss. Pn(r0q,s0p)0 Pn(r0q,s0p).0s. Pn(r0q,s0p).s0. Pn(r0q,s0p).ss.

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

h0lmn:l=2n


36 Pm(r0q,s1/2p)0

(00000;01/2001/2)

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

hklmn:k+n=2n


37 Pa(r0q,s1/2p)0 equivalent group: Pm(r0q,s1/2p).s0. Pa(r0q,s1/2p).s0. Pc(r0q,s1/2p)0 Pn(r0q,s1/2p)0 Pc(r0q,s1/2p).s0. Pn(r0q,s1/2p).s0.

(00000;01/2001/2)

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

hklmn:k+n=2n h0lmn:h=2n


38 Pm(0q0,0p0)0

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


39 Pc(0q0,0p0)0 equivalent group: Pa(0q0,0p0)0 Pn(0q0,0p0)0

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

h0l00:l=2n


40 Pm(0q0,0p1/2)0

(00000;001/201/2)

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

hklmn:l+n=2n


41 Pa(0q0,0p1/2)0

(00000;001/201/2)

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

hklmn:l+n=2n h0l00:h=2n


42 Pm(0q1/2,1/2p0)0

(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


43 Pm(p0q,0r0)m

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


44 Pm(p0q,0r0)g

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

h0lm0:m=2n


45 Pc(p0q,0r0)m equivalent group: Pc(p0q,0r0)g Pa(p0q,0r0)m Pa(p0q,0r0)g Pn(p0q,0r0)m Pn(p0q,0r0)g

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

h0lm0:l=2n


46 Pm(p0q,0r1/2)m

(00000;001/201/2)

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

hklmn:l+n=2n


47 Pa(p0q,0r1/2)m equivalent group: Pa(p0q,0r1/2)g

(00000;001/201/2)

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

hklmn:l+n=2n h0lm0:h=2n


48 Pm(p0q,0r1/2)g

(00000;001/201/2)

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

hklmn:l+n=2n h0lm0:m=2n


49 Pm(p1/2q,0r0)m

(00000;01/201/20)

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

hklmn:k+m=2n


50 Pa(p1/2q,0r0)m equivalent group: Pc(p1/2q,0r0)m Pn(p1/2q,0r0)m

(00000;01/201/20)

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

hklmn:k+m=2n h0lm0:h=2n


51 Pm(p1/2q,0r1/2)m

(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


52 Pa(p1/2q,0r1/2)m

(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


53 Pm(p-rq,prq)m

(00000;0001/21/2)

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

hklmn:m+n=2n


54 Pa(p-rq,prq)m equivalent group: Pc(p-rq,prq)m Pn(p-rq,prq)m

(00000;0001/21/2)

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

hklmn:m+n=2n h0lm0:h=2n


55 Cm(s0q,r0p)0

(00000;1/21/2000)

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

hklmn:h+k=2n


56 Cm(s0q,r0p).0s. equivalent group: Cm(s0q,r0p).s0. Cm(s0q,r0p).ss.

(00000;1/21/2000)

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

hklmn:h+k=2n h0lmn:n=2n


57 Cc(s0q,r0p)0 equivalent group: Cc(s0q,r0p).0s. Cc(s0q,r0p).s0. Cc(s0q,r0p).ss.

(00000;1/21/2000)

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

hklmn:h+k=2n h0lmn:l=2n


58 Cm(0q0,0p0)0

(00000;1/21/2000)

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

hklmn:h+k=2n


59 Cc(0q0,0p0)0

(00000;1/21/2000)

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

hklmn:h+k=2n h0l00:l=2n


60 Cm(0q0,0p1/2)0

(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


61 Cm(p0q,0r0)m

(00000;1/21/2000)

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

hklmn:h+k=2n


62 Cm(p0q,0r0)g

(00000;1/21/2000)

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

hklmn:h+k=2n h0lm0:m=2n


63 Cc(p0q,0r0)m equivalent group: Cc(p0q,0r0)g

(00000;1/21/2000)

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

hklmn:h+k=2n h0lm0:l=2n


64 Cm(p0q,0r1/2)m

(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


65 Cm(p0q,0r1/2)g

(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


66 Cm(r-qp,rqp)m

(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


67 Cc(r-qp,rqp)m

(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


68 P2/m(0q0,0p0)00

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


69 P2/c(0q0,0p0)00 equivalent group: P2/a(0q0,0p0)00 P2/n(0q0,0p0)00

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


70 P2/m(0q0,0p0).0s.0 equivalent group: P2/c(0q0,0p0).0s.0 P2/a(0q0,0p0).0s.0 P2/n(0q0,0p0).0s.0 P2/m(0q0,0p0).s0.0 P2/c(0q0,0p0).s0.0 P2/a(0q0,0p0).s0.0 P2/n(0q0,0p0).s0.0 P2/m(0q0,0p0).ss.0 P2/c(0q0,0p0).ss.0 P2/a(0q0,0p0).ss.0 P2/n(0q0,0p0).ss.0

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


71 P21/m(0q0,0p0)00 equivalent group: P21/c(0q0,0p0)00 P21/a(0q0,0p0)00 P21/n(0q0,0p0)00 P21/m(0q0,0p0).0s.0 P21/c(0q0,0p0).0s.0 P21/a(0q0,0p0).0s.0 P21/n(0q0,0p0).0s.0 P21/m(0q0,0p0).s0.0 P21/c(0q0,0p0).s0.0 P21/a(0q0,0p0).s0.0 P21/n(0q0,0p0).s0.0 P21/m(0q0,0p0).ss.0 P21/c(0q0,0p0).ss.0 P21/a(0q0,0p0).ss.0 P21/n(0q0,0p0).ss.0

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


72 P2/m(0q0,0p1/2)00

(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


73 P21/m(0q0,0p1/2)00 equivalent group: P21/m(0q0,0p1/2).s0.0

(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


74 P2/a(0q0,0p1/2)00

(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


75 P21/a(0q0,0p1/2)00 equivalent group: P21/a(0q0,0p1/2).s0.0

(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


76 P2/m(0q0,0p1/2).s0.0

(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


77 P2/a(0q0,0p1/2).s0.0

(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


78 P2/m(0q1/2,1/2p0)00

(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


79 P21/m(0q1/2,1/2p0)00

(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


80 P2/m(r0q,s0p)00

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


81 P2/m(r0q,s0p)0.0s. equivalent group: P2/m(r0q,s0p)0.s0. P2/m(r0q,s0p)0.ss.

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


82 P2/c(r0q,s0p)00 equivalent group: P2/c(r0q,s0p)0.0s. P2/c(r0q,s0p)0.s0. P2/c(r0q,s0p)0.ss. P2/a(r0q,s0p)00 P2/a(r0q,s0p)0.0s. P2/a(r0q,s0p)0.s0. P2/a(r0q,s0p)0.ss. P2/n(r0q,s0p)00 P2/n(r0q,s0p)0.0s. P2/n(r0q,s0p)0.s0. P2/n(r0q,s0p)0.ss.

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


83 P21/m(r0q,s0p)00

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


84 P21/m(r0q,s0p)0.0s. equivalent group: P21/m(r0q,s0p)0.s0. P21/m(r0q,s0p)0.ss.

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


85 P21/c(r0q,s0p)00 equivalent group: P21/c(r0q,s0p)0.0s. P21/c(r0q,s0p)0.s0. P21/c(r0q,s0p)0.ss. P21/a(r0q,s0p)00 P21/a(r0q,s0p)0.0s. P21/a(r0q,s0p)0.s0. P21/a(r0q,s0p)0.ss. P21/n(r0q,s0p)00 P21/n(r0q,s0p)0.0s. P21/n(r0q,s0p)0.s0. P21/n(r0q,s0p)0.ss.

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


86 P2/m(r0q,s1/2p)00

(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


87 P2/m(r0q,s1/2p)0.s0.

(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


88 P2/c(r0q,s1/2p)00 equivalent group: P2/c(r0q,s1/2p)0.s0. P2/a(r0q,s1/2p)00 P2/a(r0q,s1/2p)0.s0. P2/n(r0q,s1/2p)00 P2/n(r0q,s1/2p)0.s0.

(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


89 P2/m(0r0,p0q)mm

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


90 P2/m(0r0,p0q)mg

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


91 P2/c(0r0,p0q)mm equivalent group: P2/c(0r0,p0q)mg P2/a(0r0,p0q)mm P2/a(0r0,p0q)mg P2/n(0r0,p0q)mm P2/n(0r0,p0q)mg

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


92 P2/m(0r0,p0q)gm

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


93 P2/m(0r0,p0q)gg

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


94 P2/c(0r0,p0q)gm equivalent group: P2/c(0r0,p0q)gg P2/a(0r0,p0q)gm P2/a(0r0,p0q)gg P2/n(0r0,p0q)gm P2/n(0r0,p0q)gg

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


95 P21/m(0r0,p0q)mm equivalent group: P21/m(0r0,p0q)gm

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


96 P21/m(0r0,p0q)mg equivalent group: P21/m(0r0,p0q)gg

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


97 P21/c(0r0,p0q)mm equivalent group: P21/c(0r0,p0q)mg P21/a(0r0,p0q)mm P21/a(0r0,p0q)mg P21/n(0r0,p0q)mm P21/n(0r0,p0q)mg P21/c(0r0,p0q)gm P21/c(0r0,p0q)gg P21/a(0r0,p0q)gm P21/a(0r0,p0q)gg P21/n(0r0,p0q)gm P21/n(0r0,p0q)gg

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


98 P2/m(0r0,p1/2q)mm

(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


99 P2/c(0r0,p1/2q)mm equivalent group: P2/a(0r0,p1/2q)mm P2/n(0r0,p1/2q)mm

(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


100 P2/m(0r0,p1/2q)gm

(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


101 P2/c(0r0,p1/2q)gm equivalent group: P2/a(0r0,p1/2q)gm P2/n(0r0,p1/2q)gm

(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


102 P2/m(0r1/2,p0q)mm

(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


103 P2/m(0r1/2,p0q)mg

(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


104 P21/m(0r1/2,p0q)mm

(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


105 P21/m(0r1/2,p0q)mg

(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


106 P2/a(0r1/2,p0q)mm equivalent group: P2/a(0r1/2,p0q)mg

(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


107 P21/a(0r1/2,p0q)mm equivalent group: P21/a(0r1/2,p0q)mg

(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


108 P2/m(0r1/2,p1/2q)mm

(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


109 P2/a(0r1/2,p1/2q)mm

(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


110 P2/m(-pr-q,prq)mm

(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


111 P21/m(-pr-q,prq)mm

(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


112 P2/c(-pr-q,prq)mm equivalent group: P2/a(-pr-q,prq)mm P2/n(-pr-q,prq)mm

(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


113 P21/c(-pr-q,prq)mm equivalent group: P21/a(-pr-q,prq)mm P21/n(-pr-q,prq)mm

(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


114 C2/m(0q0,0p0)00

(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


115 C2/c(0q0,0p0)00

(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


116 C2/m(0q0,0p0).0s.0 equivalent group: C2/c(0q0,0p0).0s.0 C2/m(0q0,0p0).s0.0 C2/c(0q0,0p0).s0.0 C2/m(0q0,0p0).ss.0 C2/c(0q0,0p0).ss.0

(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


117 C2/m(0q0,0p1/2)00

(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


118 C2/m(0q0,0p1/2).s0.0

(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


119 C2/m(s0q,r0p)00

(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


120 C2/m(s0q,r0p)0.0s. equivalent group: C2/m(s0q,r0p)0.s0. C2/m(s0q,r0p)0.ss.

(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


121 C2/c(s0q,r0p)00 equivalent group: C2/c(s0q,r0p)0.0s. C2/c(s0q,r0p)0.s0. C2/c(s0q,r0p)0.ss.

(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


122 C2/m(0p0,r0q)mm

(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


123 C2/m(0p0,r0q)mg

(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


124 C2/c(0p0,r0q)mm equivalent group: C2/c(0p0,r0q)mg

(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


125 C2/m(0p0,r0q)gm

(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


126 C2/m(0p0,r0q)gg

(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


127 C2/c(0p0,r0q)gm equivalent group: C2/c(0p0,r0q)gg

(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


128 C2/m(0p1/2,r0q)mm

(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


129 C2/m(0p1/2,r0q)mg

(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


130 C2/m(-rq-p,rqp)mm

(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


131 C2/c(-rq-p,rqp)mm

(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