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Analysis of Short Ring-Interactions with Cg-Cg distances <   6.0 Angstrom and Beta < 60.0 Deg.
====================================================================================================================================
- Cg(I)    = Plane number I (= ring number in () above)
- Alpha    = Dihedral Angle between Planes I and J (Deg)
- Beta     = Angle Cg(I)-->Cg(J) or Cg(i)-->Me vector and normal to plane I (Deg)
- Gamma    = Angle Cg(I)-->Cg(J) vector and normal to plane J (Deg)
- Cg-Cg    = Distance between ring Centroids (Ang.)
- CgI_Perp = Perpendicular distance of Cg(I) on ring J (Ang.)
- CgJ_Perp = Perpendicular distance of Cg(J) on ring I (Ang.)
- P,Q,R,S  = J-Plane Parameters for Carth. Coord. (Xo, Yo, Zo)

Cg(I)  [ ARU(I)]    Cg(J)  [   ARU(J)]  Cg-Cg   Transformed J-Plane P, Q, R, S   Alpha    Beta   Gamma CgI_perp CgJ_perp

Cg(1)  [1555.01] -> Cg(2)  [  1554.02]  3.646  -0.0532 0.2056 0.9772   -2.7206    4.11    6.38    8.47   3.606   3.623
Cg(1)  [1555.01] -> Cg(2)  [  1555.02]  3.930  -0.0532 0.2056 0.9772    4.5937    4.11   21.30   19.33   3.708   3.662
Cg(1)  [1555.01] -> Cg(4)  [  1554.02]  5.380  -0.4763 0.2958 0.8281   -2.6836   29.90   43.81   56.94   2.935   3.882
Cg(1)  [1555.01] -> Cg(6)  [  1554.02]  5.603   0.1148 0.9863 0.1187    4.9397   69.92   49.38   79.40   1.030   3.648
Cg(1)  [1555.01] -> Cg(6)  [  1555.02]  5.712   0.1148 0.9863 0.1187    5.8282   69.92   50.46   88.58   0.142   3.636
Cg(2)  [1555.02] -> Cg(1)  [  1555.01]  3.930   0.0143 0.2294 0.9732    1.2103    4.11   19.33   21.30   3.662   3.708
Cg(2)  [1555.02] -> Cg(1)  [  1556.01]  3.646   0.0143 0.2294 0.9732    8.4950    4.11    8.47    6.38   3.623   3.606
Cg(2)  [1555.02] -> Cg(3)  [  1555.01]  4.655   0.2971 0.2488 0.9219    2.1982   20.58   36.18   45.06   3.288   3.758
Cg(2)  [1555.02] -> Cg(3)  [  1556.01]  5.601   0.2971 0.2488 0.9219    9.0983   20.58   50.58   49.85   3.612   3.557
Cg(2)  [1555.02] -> Cg(5)  [  1555.01]  5.723  -0.0512 0.9971-0.0566    5.4862   81.24   48.42   83.97   0.601   3.798
Cg(2)  [1555.02] -> Cg(5)  [  1556.01]  5.670  -0.0512 0.9971-0.0566    5.0622   81.24   51.67   88.21   0.177   3.516
Cg(3)  [1555.01] -> Cg(2)  [  1554.02]  5.601  -0.0532 0.2056 0.9772   -2.7206   20.58   49.85   50.58   3.557   3.612
Cg(3)  [1555.01] -> Cg(2)  [  1555.02]  4.655  -0.0532 0.2056 0.9772    4.5937   20.58   45.06   36.18   3.758   3.288
Cg(3)  [1555.01] -> Cg(3)  [  2554.01]  5.903  -0.2971-0.2488 0.9219   -4.1355   45.60   50.14   58.12   3.117   3.783
Cg(3)  [1555.01] -> Cg(3)  [  2555.01]  5.903  -0.2971-0.2488 0.9219    2.7647   45.60   58.12   50.14   3.783   3.117
Cg(3)  [1555.01] -> Cg(4)  [  1554.02]  4.590  -0.4763 0.2958 0.8281   -2.6836   45.93   18.62   63.88   2.021   4.350
Cg(3)  [1555.01] -> Cg(4)  [  1555.02]  4.541  -0.4763 0.2958 0.8281    3.5144   45.93   55.83   23.08   4.177   2.550
Cg(3)  [1555.01] -> Cg(6)  [  3556.02]  5.588   0.1148-0.9863-0.1187   -2.4141   71.29   36.39   81.76   0.801   4.499
Cg(4)  [1555.02] -> Cg(1)  [  1556.01]  5.380   0.0143 0.2294 0.9732    8.4950   29.90   56.94   43.81   3.882   2.935
Cg(4)  [1555.02] -> Cg(3)  [  1555.01]  4.541   0.2971 0.2488 0.9219    2.1982   45.93   23.08   55.83   2.550   4.177
Cg(4)  [1555.02] -> Cg(3)  [  2555.01]  5.979  -0.2971-0.2488 0.9219    2.7647   33.77   56.32   85.09   0.511   3.316
Cg(4)  [1555.02] -> Cg(5)  [  3456.01]  5.340  -0.0512-0.9971 0.0566   -2.1537   77.08   22.17   81.65   0.775   4.946
Cg(5)  [1555.01] -> Cg(3)  [  1555.01]  4.930   0.2971 0.2488 0.9219    2.1982   79.59   40.92   75.73   1.215   3.726
Cg(5)  [1555.01] -> Cg(6)  [  3555.02]  4.877   0.1148-0.9863-0.1187   -1.5256   10.72   55.53   44.80   3.460   2.760
Cg(5)  [1555.01] -> Cg(6)  [  3556.02]  5.055   0.1148-0.9863-0.1187   -2.4141   10.72   50.95   59.42   2.572   3.184
Cg(6)  [1555.02] -> Cg(3)  [  4555.01]  5.473  -0.2971 0.2488-0.9219    0.8847   84.15   33.85   63.61   2.433   4.545
Cg(6)  [1555.02] -> Cg(4)  [  1555.02]  4.889  -0.4763 0.2958 0.8281    3.5144   70.41   42.07   67.24   1.891   3.629
Cg(6)  [1555.02] -> Cg(4)  [  4556.02]  5.546   0.4763 0.2958-0.8281   -3.2429   75.63   28.57   77.80   1.172   4.871
Cg(6)  [1555.02] -> Cg(5)  [  3455.01]  4.877  -0.0512-0.9971 0.0566   -2.5778   10.72   44.80   55.53   2.760   3.460
Cg(6)  [1555.02] -> Cg(5)  [  3456.01]  5.055  -0.0512-0.9971 0.0566   -2.1537   10.72   59.42   50.95   3.184   2.572
                                      -------                                 ----------------------------------------
                            Min or Max  3.646                                     4.11    6.38   88.58   0.142   2.550

[  1554] = X,Y,-1+Z
[  1555] = X,Y,Z
[  1555] = X,Y,Z
[  1556] = X,Y,1+Z
[  2554] = 1/2-X,-Y,-1/2+Z
[  2555] = 1/2-X,-Y,1/2+Z
[  3556] = 1/2+X,1/2-Y,1-Z
[  3456] = -1/2+X,1/2-Y,1-Z
                                                                                            " B in     "  PLATON-GEOMETRY  Page   42
====================================================================================================================================
[  3555] = 1/2+X,1/2-Y,-Z
[  4555] = -X,1/2+Y,1/2-Z
[  4556] = -X,1/2+Y,3/2-Z
[  3455] = -1/2+X,1/2-Y,-Z
                                                                                            " B in     "  PLATON-GEOMETRY  Page   43
====================================================================================================================================

Analysis of X-H...Cg(Pi-Ring) Interactions (H..Cg < 3.4 Ang. - Gamma <  30.0 Deg)
====================================================================================================================================

   X--H(I)     [ ARU(I)]    Cg(J)  [   ARU(J)]  H..Cg  Transformed J-Plane P, Q, R, S   H-Perp Gamma X-H..Cg   X..Cg

C(3)   -H(3B)  [1555.01] -> Cg(4)  [  1555.02]  3.117  -0.4763 0.2958 0.8281    3.5144  3.075   9.42  113.18   3.586
C(13)  -H(13A) [1555.01] -> Cg(6)  [  3555.02]  3.320   0.1148-0.9863-0.1187   -1.5256  3.061  22.78  117.50   3.839
C(18)  -H(18A) [1555.02] -> Cg(3)  [  1556.01]  2.946   0.2971 0.2488 0.9219    9.0983  2.776  19.57  121.16   3.518
C(22)  -H(22A) [1555.02] -> Cg(5)  [  2565.01]  3.220   0.0512-0.9971-0.0566  -11.3507  3.127  13.81  120.46   3.798
C(25)  -H(25B) [1555.02] -> Cg(5)  [  3456.01]  3.358  -0.0512-0.9971 0.0566   -2.1537  2.912  29.87  123.25   3.946
                                              -------                                 ------------------------------
                                    Min or Max  2.946                                   2.776   9.42  123.25   3.518

[  1555] = X,Y,Z
[  3555] = 1/2+X,1/2-Y,-Z
[  1556] = X,Y,1+Z
[  2565] = 1/2-X,1-Y,1/2+Z
[  3456] = -1/2+X,1/2-Y,1-Z



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