perm filename LABEL.FIG[DOC,LMM] blob sn#061977 filedate 1973-09-11 generic text, type C, neo UTF8
COMMENT ⊗   VALID 00004 PAGES
C REC  PAGE   DESCRIPTION
C00001 00001
C00002 00002	~|~~M0FIX13X~M1NGB25~F0
C00005 00003		                  N                       
C00010 00004	                           FIGURE 11
C00015 ENDMK
C⊗;
~|~~M0FIX13X;~M1NGB25;~F0


			 ⊗     ⊗
			/ \   / \
		       /   \ /   \
		      ⊗     ⊗     ⊗
		      |     |     |
		      |     |     |
		      ⊗     ⊗     ⊗
		       \   / \   /
			\ /   \ /
			 ⊗     ⊗

 			    ~F11~F0
           ~←.~→A

                             ~←.~→B

                                                  ~←.~→C


         2     4             7     1             4     2
	/ \   / \           / \   / \           / \   / \ 
       /   \ /   \         /   \ /   \         /   \ /   \
      1     3     5       2     8     9       5     3     1
      |     |     |       |     |     |       |     |     |
      |     |     |       |     |     |       |     |     |
      10    8     6       3     4     5       6     8     10
       \   / \   /         \   / \   /         \   / \   /
	\ /   \ /           \ /   \ /           \ /   \ /
         9     7             6     10            7     9

~←A~→.~F12a ~←B~→.2b ~←C~→.2c ~F0








 	 2     4             9     7             4     2
	/ \   / \           / \   / \           / \   / \ 
       /   \ /   \         /   \ /   \         /   \ /   \
     N1     3     5N     N10    8     6N     N      3     1N
      |     |     |       |     |     |       |     |     |
      |     |     |       |     |     |       |     |     |
      10    8     6       1     3     5       6     8     10
       \   / \   /         \   / \   /         \   / \   /
	\ /   \ /           \ /   \ /           \ /   \ /
	 9     7             2     4             7     9

~←A~→.~F13a ~←B~→.3b ~←C~→.3c ~F0





			⊗     ⊗
		       / \   / \
		      /   \ /   \
		     +     &     +
		     |     |     |
		     |     |     |
		     +     &     +
		      \   / \   /
		       \ /   \ /
			⊗     ⊗

                        ~F15~F0
	⊗     ⊗             N     ⊗             ⊗     ⊗
       / \   / \           / \   / \           / \   / \ 
      /   \ /   \         /   \ /   \         /   \ /   \
     N     ⊗     ⊗       ⊗     ⊗     ⊗       ⊗     N     ⊗
     |     |     |       |     |     |       |     |     |
     |     |     |       |     |     |       |     |     |
     ⊗     ⊗     ⊗       ⊗     ⊗     ⊗       ⊗     ⊗     ⊗
      \   / \   /         \   / \   /         \   / \   /
       \ /   \ /           \ /   \ /           \ /   \ /
	⊗     ⊗             ⊗     ⊗             ⊗     ⊗

~←A~→.~F16a ~←B~→.6b ~←C~→.6c ~F0


        ~←.~→α

                               ~←.~→β

                                                        ~←.~→ε


       ⊗   ⊗		       N   ⊗		       ⊗   ⊗		
      / \ / \		      / \ / \		      / \ / \		
     N   ⊗   ⊗		     ⊗   ⊗   ⊗		     ⊗   N   ⊗		
     |   |   |               |   |   |		     |   |   |		
     ⊗   ⊗   ⊗		     ⊗   ⊗   ⊗		     ⊗   ⊗   ⊗		
      \ / \ /		      \ / \ /		      \ / \ /		
       ⊗   ⊗		       ⊗   ⊗		       ⊗   ⊗		

~F1~←α~→.7a1 ~←β~→.7a2 ~←.~→.7a3 ~F0

       B   ⊗		       ⊗   ⊗		       ⊗   ⊗		
      / \ / \		      / \ / \		      / \ / \		
     ⊗   N   ⊗		     B   N   ⊗		     ⊗   N   ⊗		
     |   |   |               |   |   |		     |   |   |		
     ⊗   ⊗   ⊗		     ⊗   ⊗   ⊗		     B   ⊗   ⊗		
      \ / \ /		      \ / \ /		      \ / \ /		
       ⊗   ⊗		       ⊗   ⊗		       ⊗   ⊗		

~F1~←α~→.7b1 ~←β~→.7b2 ~←.~→.7b3 ~F0

       ⊗   ⊗		       ⊗   ⊗
      / \ / \		      / \ / \
     ⊗   N   ⊗		     ⊗   N   ⊗
     |   |   |               |   |   |
     ⊗   ⊗   ⊗		     ⊗   B   ⊗
      \ / \ /		      \ / \ /
       B   ⊗		       ⊗   ⊗

~F1~←α~→.7b4 ~←β~→.7b5 ~F0



			 ⊗     ⊗
			/ \   / \
		       /   \ /   \
  		      N     ⊗     ⊗
		      |     |     |
		      |     |     |
		      ⊗     ⊗     ⊗
		       \   / \   /
			\ /   \ /
			 ⊗     ⊗

			  ~F18 ~F0



        ~←.~→A
                                ~←.~→B
                                                        ~←.~→C
                                                                               ~←.~→D
       ⊗   ⊗		       ⊗   ⊗  		       N   ⊗		       ⊗   N  
      / \ / \		      / \ / \ 		      / \ / \		      / \ / \ 
     N   ⊗   ⊗		     N   ⊗   ⊗		     N   ⊗   ⊗		     N   ⊗   ⊗
     |   |   |		     |   |   |		     |   |   |		     |   |   |
     ⊗   ⊗   ⊗		     ⊗   ⊗   ⊗		     ⊗   ⊗   ⊗		     ⊗   ⊗   ⊗
      \ / \ /		      \ / \ / 		      \ / \ /		      \ / \ / 
       ⊗   N		       N   ⊗  		       ⊗   ⊗		       ⊗   ⊗  

~F1 ~←A~→.9a ~←B~→.9b ~←C~→.9c ~←D~→.9d ~F0
                           FIGURE 11

     C↓6N↓6O↓4S↓4                          The pot of atoms

                                          Taking combinations of
                                          6 atoms

      e.g. C↓4S↓2                       76 combinations possible
                                        65 are valid for D.A. Rings

                                                Labelling Step


        C        C        C        C           4 Rings generated
      /   \    /   \    /   \    /   \         from the example
     C     S  C     C  C     S  C     C        C4S2
     |     |  |     |  |     |  |     |
     C     S  C     S  C     C  C     C
      \   /     \  /    \   /     \  /
        C        S        S        S

     A total of 1176 rings generated from all the
     65 combinations of 6 atoms taken from C6N6O4S4

------------------------------------------------------------
          1         =C,C,O,O.
         / \
        C   2
        "   |
        C   3            (Fig. 12)
         \ /
          4

   Group is i,r, where
          (1 2 3 4) = i
          (4 3 2 1) = r

 orbits A1 = (1 4)
        A2 = (2 3)

 Case    Assignment to orbit A1     Remaining Labels
   1     C C                        S S
   2     C S                        C S
   3     S S                        C C

Case 1  C,C --> (1 4)
      then S,S --> (2 3)    1 Labelling
                             (C S S C)
Case 2  C,S --> (1 4)
         C --> 1
         S --> 4
         reduced group is i
           C,S --> 2 3          2 labellings
               C --> 2 & S --> 3    (C C S S)
               S --> 2 & C --> 3    (C S C S)

Case 3     S,S --> (1 4)            1 labelling
           then C,C --> (2 3)     (S C C S)
Total of 4 possible labellings.
-----------------------------------------------------------
                      1
Octahedral
 Skeletal        6         2
 Framework
                 5         3

                      4

.end