19

Internal Coordinate Frequencies and Gradients (LTRD)

This example illustrates another method to complete a force calculation using the conrotary cyclization transition state of cis-1,3-butadiene → cyclobutene as an example. The vibrations will be more intuitively interpretable because the eigenmodes are expressed in terms of the internal coordinates using LTRD.

Input File (optimization/opt_ltrd.dat) :

  am1 rhf singlet bonds t=auto ltrd grad inertial
Conrotary cyclization TS
LTRD on TS, INERTIAL
 C              0.000000  0    0.000000  0    0.000000  0    0    0    0
 C              1.368591  1    0.000000  0    0.000000  0    1    0    0
 C              1.467760  1  101.846287  1    0.000000  0    2    1    0
 C              1.467760  1  105.846287  1  -18.651781  1    1    2    3
 H              1.088208  1  133.192008  1  157.464541  1    1    2    3
 H              1.088208  1  125.192008  1  145.464541  1    2    1    4
 H              1.096007  1  117.078638  1  133.669157  1    4    1    2
 H              1.095904  1  124.139890  1  139.767746  1    3    2    1
 H              1.098257  1  124.343753  1  -63.184369  1    4    1    2
 H              1.098289  1  117.265822  1  -67.054326  1    3    2    1
 0              0.000000  0    0.000000  0    0.000000  0    0    0    0

Archive File (optimization/opt_ltrd.arc) :

 Timestamp: 2004-02-12-14-44-13-0000006474-hpux

                     SUMMARY OF   AM1   CALCULATION
                                                       Feb-12-2004
                          AMPAC Version 8.13
                             Presented by:

                        Semichem, Inc.
                        PO Box 1649
                        Shawnee KS 66222
                        (913)268-3271
                        (913)268-3445 (fax)

 FORMULA: C4H6
 Conrotary cyclization TS
 LTRD on TS, INERTIAL

     GEOMETRY OPTIMISED : GRADIENT NORM MINIMISED
     SCF FIELD WAS ACHIEVED

          FINAL HEAT OF FORMATION =      81.094359 kcal
                                  =     339.379892 kJ
          ELECTRONIC ENERGY       =   -1951.479396 eV
          CORE-CORE REPULSION     =    1360.156913 eV
          TOTAL ENERGY            =    -591.322482 eV
          GRADIENT NORM           =       0.064094   1
          RMS GRADIENT NORM       =       0.013083
          UNSTABLE MODE(S)        =       1 ( ACCURATE  )
          DIPOLE                  =       0.446229 debyes
          NO. OF FILLED LEVELS    =      11 (OCC = 2)
          KOOPMAN IONISATION POTENTIAL =      9.07 eV
          MOLECULAR POINT GROUP   = C2    0.100000
          MOLECULAR WEIGHT        =      54.091
          COMPUTATION TIME        =       0.28     seconds

          FINAL GEOMETRY OBTAINED                                 CHARGE
 AM1 RHF SINGLET BONDS T=AUTO LTRD GRAD INERTIAL
 Conrotary cyclization TS
 LTRD on TS, INERTIAL
  C     0.000000  0    0.000000  0    0.000000  0    0   0   0   -0.1709
  C     1.388703  1    0.000000  0    0.000000  0    1   0   0   -0.1709
  C     1.427744  1  103.835133  1    0.000000  0    2   1   0   -0.1858
  C     1.427798  1  103.830880  1  -18.665958  1    1   2   3   -0.1858
  H     1.088195  1  129.198977  1  154.427150  1    1   2   3    0.1382
  H     1.088201  1  129.193239  1  154.426969  1    2   1   4    0.1382
  H     1.095944  1  121.105230  1  136.759657  1    4   1   2    0.0989
  H     1.095942  1  121.109065  1  136.769421  1    3   2   1    0.0989
  H     1.098245  1  120.319526  1  -65.093035  1    4   1   2    0.1195
  H     1.098254  1  120.311874  1  -65.090114  1    3   2   1    0.1195
  0     0.000000  0    0.000000  0    0.000000  0    0   0   0
1

The geometry has changed slightly and the gnorm is very low. The frequencies predicted by this procedure will likely be extremely accurate.

Output File (optimization/opt_ltrd.out) :

 Timestamp: 2004-02-12-14-44-13-0000006474-hpux
 *******************************************************************************
                             AM1 CALCULATION RESULTS
 *******************************************************************************
 *                             AMPAC Version 8.13
 *                                Presented by:
 *
 *                           Semichem, Inc.
 *                           PO Box 1649
 *                           Shawnee KS 66222
 *                           (913)268-3271
 *                           (913)268-3445 (fax)
 *
 *  LTRD     - MINIMISE GRADIENT USING FULL-NEWTON
 *  T=AUTO   - AUTOMATIC DETERMINATION OF ALLOWED TIME
 *  BONDS    - FINAL BOND-ORDER MATRIX TO BE PRINTED
 *  GRADIENTS- ALL GRADIENTS TO BE PRINTED
 *  SINGLET  - IS THE REQUIRED SPIN MULTIPLICITY
 *  AM1      - THE AM1 HAMILTONIAN TO BE USED
 *******************************************************************************
 AM1 RHF SINGLET BONDS T=AUTO LTRD GRAD INERTIAL
 Conrotary cyclization TS
 LTRD on TS, INERTIAL
    ATOM    CHEMICAL   BOND LENGTH    BOND ANGLE    TWIST ANGLE
   NUMBER   SYMBOL     (ANGSTROMS)     (DEGREES)     (DEGREES)
    (I)                   NA:I          NB:NA:I      NC:NB:NA:I   NA  NB  NC
      1     C
      2     C          1.36859 *                                   1
      3     C          1.46776 *      101.84629 *                  2   1
      4     C          1.46776 *      105.84629 *   -18.65178 *    1   2   3
      5     H          1.08821 *      133.19201 *   157.46454 *    1   2   3
      6     H          1.08821 *      125.19201 *   145.46454 *    2   1   4
      7     H          1.09601 *      117.07864 *   133.66916 *    4   1   2
      8     H          1.09590 *      124.13989 *   139.76775 *    3   2   1
      9     H          1.09826 *      124.34375 *   -63.18437 *    4   1   2
     10     H          1.09829 *      117.26582 *   -67.05433 *    3   2   1

   MOLECULAR POINT GROUP            SYMMETRY CRITERIA
            C1                          0.10000000

          SINGLET STATE CALCULATION

        **  REFERENCES TO PARAMETERS  **

  H  (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985)
  C  (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985)

          CARTESIAN COORDINATES
    NO.       ATOM         X         Y         Z
     1         6        0.0000    0.0000    0.0000
     2         6        1.3686    0.0000    0.0000
     3         6        1.6699    1.4365    0.0000
     4         6       -0.4008    1.3378    0.4516
     5         1       -0.7448   -0.7328   -0.3041
     6         1        1.9957   -0.8554    0.2434
     7         1       -1.1852    1.8440   -0.1226
     8         1        2.4739    1.8963    0.5859
     9         1       -0.1764    1.7496    1.4447
    10         1        1.4007    2.0071   -0.8990

 STANDARD DEVIATION ON ENERGY   (KCAL)       0.00000014507
 STANDARD DEVIATION ON GRADIENT (KCAL/A,RD,RD)  0.00000687 0.00000955 0.00000763

 GRADIENT MINIMIZATION BY QUADRATIC & RELAXATION METHOD   1
  24 OPTIMIZED VARIABLES, GRADIENT (COMPONENT) < 1.0D-01   CYCLES <  10

 CYCLE 2  ENERGY 8.10943588D+01   RMS-G 1.31D-02   MAX-G 5.54D-02   INDEX:   1
 FIRST EIGENVALUES : -3.20D+02  2.79D+01  3.00D+01  4.05D+01  4.33D+01  5.91D+01
  7.29D+01  7.57D+01  7.90D+01  1.01D+02  1.46D+02  1.78D+02  1.80D+02  3.13D+02
  3.77D+02  7.77D+02  7.80D+02  8.16D+02  8.32D+02  8.38D+02  8.48D+02  9.53D+02
  1.40D+03  1.86D+03
 ROUND-OFF STD DEV.:  8.88D-02  1.34D-02  1.44D-02  1.79D-02  1.94D-02  2.77D-02
  3.48D-02  3.51D-02  3.82D-02  4.83D-02  6.72D-02  3.39D-02  3.36D-02  1.06D-01
  9.82D-02  6.88D-02  6.75D-02  6.23D-02  5.86D-02  5.22D-02  6.47D-02  7.75D-02
  1.08D-01  1.20D-01
 COORD  1.3887D+00  1.4277D+00  1.0384D+02  1.4278D+00  1.0383D+02 -1.8666D+01
        1.0882D+00  1.2920D+02  1.5443D+02  1.0882D+00  1.2919D+02  1.5443D+02
        1.0959D+00  1.2111D+02  1.3676D+02  1.0959D+00  1.2111D+02  1.3677D+02
        1.0982D+00  1.2032D+02 -6.5093D+01  1.0983D+00  1.2031D+02 -6.5090D+01

 VIBRATIONAL FREQUENCIES AND ERRORS (CM-1),  2
 REDUCED FORCE CONSTANTS (MILLIDYNE/ANGSTROMS),
 DIPOLE DERIVATIVES (DEBYE/ANGSTROMS),
 AND NORMAL MODES (CARTESIAN COORDINATES):
 FREQ  : -849.293   -0.000   -0.000   -0.000   -0.000    0.000    0.000  418.039
 ERROR :    0.699    0.000    0.000    0.000    0.000    0.000    0.000    0.223
 F-CST : -0.21249 -0.00000 -0.00000 -0.00000 -0.00000  0.00000  0.00000  0.05148
 DIP(X):    0.000   -0.000   -0.000   -0.000   -0.000    0.000    0.000    0.000
 DIP(Y):    0.241   -0.000    0.000    0.000   -0.000   -0.000   -0.000    0.025
 DIP(Z):    0.040   -0.000   -0.000    0.000   -0.000    0.000    0.000    0.004
 DIP TOT    0.245    0.000    0.000    0.000    0.000    0.000    0.000    0.026
   1C (x) -0.0285   0.0078  -0.0001  -0.0072   0.0065   0.0562   0.1467  -0.0090
   1C (y)  0.0545  -0.1376   0.0458   0.0008  -0.0558  -0.0003  -0.0325   0.0256
   1C (z) -0.0121   0.0098   0.0969   0.0725   0.0954  -0.1221   0.0452  -0.1113
   2C (x)  0.0285   0.0078  -0.0001  -0.0072   0.0065   0.0562   0.1467   0.0090
   2C (y)  0.0478  -0.0905   0.0769  -0.0382   0.0496   0.0805   0.0102  -0.0114
   2C (z)  0.0289   0.0502   0.1062   0.1651   0.0044   0.0054   0.0164   0.1136
   3C (x)  0.1304  -0.0392  -0.0311   0.0317  -0.0988  -0.0245   0.1041  -0.0515
   3C (y) -0.0527  -0.0789   0.0845  -0.0478   0.0756   0.1004   0.0207   0.0020
   3C (z) -0.0313   0.0816   0.1375   0.0035  -0.1453   0.0605  -0.0169  -0.0638
   4C (x) -0.1304  -0.0497  -0.0324   0.0001  -0.0642  -0.0610   0.1155   0.0515
   4C (y) -0.0599  -0.1560   0.0289   0.0694  -0.0410  -0.0278  -0.0346  -0.0186
   4C (z)  0.0128   0.0202   0.1220  -0.1250  -0.0028  -0.1310   0.0275   0.0610
   5H (x)  0.0336   0.0442   0.0194  -0.0043   0.0404   0.1339   0.1625   0.0076
   5H (y)  0.0596  -0.1552   0.0381  -0.0283  -0.1415  -0.0341  -0.0605   0.1253
   5H (z) -0.1527  -0.0220   0.0763   0.1279   0.2103  -0.1983   0.0739  -0.3398
   6H (x) -0.0336   0.0332   0.0180  -0.0375   0.0767   0.0956   0.1745  -0.0076
   6H (y)  0.0076  -0.0687   0.0901  -0.0440   0.1112   0.1188   0.0333   0.0100
   6H (z)  0.1637   0.0572   0.0934   0.3224   0.0362   0.0542   0.0179   0.3620
   7H (x) -0.2418  -0.0549  -0.0419   0.0485  -0.1394  -0.0497   0.0879   0.0688
   7H (y) -0.1187  -0.1756   0.0212   0.0273  -0.1463  -0.0660  -0.0683   0.1154
   7H (z)  0.1310   0.0059   0.1285  -0.2544  -0.0029  -0.1946   0.0334   0.1965
   8H (x)  0.2418  -0.0710  -0.0440  -0.0003  -0.0860  -0.1060   0.1055  -0.0688
   8H (y) -0.0705  -0.0618   0.0890   0.0153   0.1953   0.1359   0.0574   0.1722
   8H (z) -0.1621   0.1108   0.1509   0.0054  -0.2331   0.1405  -0.0407  -0.1492
   9H (x)  0.2075  -0.0903  -0.0466  -0.0586  -0.0222  -0.1734   0.1266   0.0818
   9H (y)  0.1483  -0.1631   0.0134   0.1976   0.0718  -0.0304  -0.0075  -0.2227
   9H (z) -0.1381   0.0327   0.1305  -0.1513  -0.0494  -0.1020   0.0161   0.1243
  10H (x) -0.2075  -0.0357  -0.0394   0.1069  -0.2033   0.0176   0.0667  -0.0818
  10H (y)  0.0963  -0.0742   0.0968  -0.1550  -0.0228   0.1002  -0.0033  -0.1712
  10H (z)  0.1783   0.0840   0.1490  -0.0979  -0.1867   0.0479  -0.0235  -0.1891

 FREQ  :  661.593  710.519  756.265  872.825  891.570  986.124  997.253 1031.078
 ERROR :    0.394    0.192    0.410    0.356    0.294    0.487    0.414    0.636
 F-CST :  0.12895  0.14872  0.16849  0.22443  0.23417  0.28648  0.29298  0.31319
 DIP(X):   -0.199    0.263   -0.000    0.000   -0.024   -0.000    0.260   -0.000
 DIP(Y):    0.054   -0.088   -0.419    0.632   -0.181   -0.799   -0.043    0.141
 DIP(Z):   -0.329    0.539   -0.069    0.104    1.102   -0.131    0.263    0.023
 DIP TOT    0.388    0.606    0.425    0.640    1.117    0.809    0.373    0.143
   1C (x) -0.0116  -0.0743   0.0180  -0.0076   0.0616   0.0132  -0.0044  -0.0146
   1C (y) -0.0304  -0.0853   0.0225  -0.0213   0.0704  -0.0004   0.0073  -0.0273
   1C (z)  0.0205  -0.0289  -0.0015   0.0836  -0.0406  -0.0077  -0.0665   0.1015
   2C (x) -0.0116  -0.0743  -0.0179   0.0075   0.0616  -0.0132  -0.0043   0.0146
   2C (y)  0.0223   0.0901   0.0208   0.0066  -0.0537  -0.0028   0.0143   0.0066
   2C (z)  0.0292  -0.0000   0.0086  -0.0860  -0.0610   0.0071  -0.0654  -0.1048
   3C (x)  0.0081   0.0529   0.1001  -0.0135  -0.0417  -0.0611  -0.0078   0.0217
   3C (y)  0.0036   0.0529   0.0103  -0.0009  -0.0467   0.0220   0.0180   0.0016
   3C (z)  0.0055  -0.0127  -0.0517  -0.0441  -0.0101   0.0418   0.0882   0.0852
   4C (x)  0.0081   0.0529  -0.1001   0.0135  -0.0417   0.0611  -0.0079  -0.0218
   4C (y) -0.0052  -0.0461  -0.0068  -0.0150   0.0474   0.0342  -0.0454   0.0288
   4C (z)  0.0041  -0.0290   0.0522   0.0415   0.0054  -0.0324   0.0779  -0.0802
   5H (x)  0.0220  -0.0577   0.0563  -0.0171  -0.0020  -0.0551  -0.0988   0.1147
   5H (y)  0.0169  -0.2375  -0.0475   0.2323  -0.1080   0.0790  -0.0415   0.0031
   5H (z) -0.1359   0.2790   0.0610  -0.4374   0.4555  -0.0423   0.2215  -0.2144
   6H (x)  0.0220  -0.0577  -0.0563   0.0171  -0.0020   0.0549  -0.0989  -0.1144
   6H (y)  0.0275   0.1357  -0.0255   0.0800  -0.0434   0.0613  -0.0317  -0.0655
   6H (z) -0.1341   0.3403  -0.0729   0.4886   0.4662   0.0658   0.2230   0.2040
   7H (x)  0.3648   0.1206  -0.0219   0.1024  -0.0262  -0.4078   0.1696  -0.0656
   7H (y)  0.1913   0.1429   0.0079  -0.1092   0.0929  -0.4043  -0.0926   0.2246
   7H (z) -0.3531   0.1039  -0.0606  -0.2388   0.0370   0.1943  -0.2913   0.2497
   8H (x)  0.3647   0.1205   0.0219  -0.1023  -0.0263   0.4080   0.1691   0.0659
   8H (y) -0.0683  -0.1686  -0.0120  -0.1798  -0.0998  -0.3207   0.1814   0.2922
   8H (z) -0.3957   0.0528   0.0600   0.1914   0.0055  -0.3139  -0.2460  -0.1649
   9H (x) -0.3454   0.1921  -0.4403  -0.1619  -0.2086  -0.1991   0.0747   0.0718
   9H (y) -0.1627  -0.2112  -0.2820   0.1733  -0.1885  -0.0326   0.3835  -0.2967
   9H (z)  0.1339  -0.0010   0.2168   0.0124   0.1239   0.0532  -0.0988   0.0232
  10H (x) -0.3453   0.1921   0.4404   0.1619  -0.2086   0.1991   0.0745  -0.0713
  10H (y)  0.1113   0.2004  -0.1979   0.1681   0.1390  -0.0142  -0.3316  -0.2738
  10H (z)  0.1789   0.0667  -0.2957   0.0436   0.1778  -0.0611  -0.2162  -0.1171

 FREQ  : 1047.443 1125.689 1192.071 1368.110 1390.517 1498.058 1535.379 1616.226
 ERROR :    0.453    0.635    0.424    0.249    0.315    0.154    0.259    0.131
 F-CST :  0.32321  0.37331  0.41863  0.55140  0.56961  0.66113  0.69448  0.76954
 DIP(X):   -0.076    0.000   -0.281   -0.000   -0.368   -0.001    0.369   -0.000
 DIP(Y):    0.077   -0.220    0.035   -0.056    0.003   -0.034   -0.024    0.270
 DIP(Z):   -0.467   -0.036   -0.212   -0.009   -0.019   -0.006    0.147    0.044
 DIP TOT    0.479    0.223    0.354    0.057    0.369    0.035    0.398    0.274
   1C (x)  0.0324   0.0206   0.0503  -0.0115   0.0261   0.0337  -0.0426   0.1918
   1C (y)  0.0163   0.0173   0.0072  -0.0738  -0.0674  -0.1031   0.1229   0.0078
   1C (z)  0.0109  -0.0023   0.0269  -0.0304  -0.0206  -0.0348   0.0339   0.0055
   2C (x)  0.0324  -0.0206   0.0503   0.0116   0.0261  -0.0335  -0.0427  -0.1918
   2C (y) -0.0190   0.0156  -0.0154  -0.0794   0.0705  -0.1083  -0.1278   0.0092
   2C (z)  0.0053   0.0077   0.0231   0.0052   0.0020  -0.0001  -0.0072  -0.0027
   3C (x) -0.0928  -0.0277  -0.0371   0.0192   0.0115   0.0610   0.0379   0.0074
   3C (y) -0.0095   0.0177   0.0728   0.0256   0.0048   0.1275   0.1274  -0.0322
   3C (z)  0.0066  -0.0162  -0.0103  -0.0071  -0.0062  -0.0054   0.0007   0.0018
   4C (x) -0.0928   0.0277  -0.0371  -0.0192   0.0115  -0.0612   0.0377  -0.0074
   4C (y)  0.0069   0.0116  -0.0657   0.0220  -0.0026   0.1196  -0.1204  -0.0299
   4C (z)  0.0094   0.0210  -0.0331   0.0150  -0.0075   0.0461  -0.0399  -0.0119
   5H (x)  0.2434   0.5362  -0.3981  -0.0424  -0.1206  -0.0371   0.1365   0.0435
   5H (y) -0.1236  -0.3809   0.3836  -0.0484   0.0542  -0.0227  -0.0446   0.1594
   5H (z) -0.0970  -0.1408   0.0826  -0.0423   0.0070  -0.0868   0.0272  -0.0023
   6H (x)  0.2436  -0.5360  -0.3984   0.0421  -0.1206   0.0365   0.1367  -0.0434
   6H (y)  0.1483  -0.4057  -0.3900  -0.0595  -0.0535  -0.0494   0.0333   0.1503
   6H (z) -0.0526   0.0115  -0.0445   0.0245  -0.0107   0.0748   0.0403   0.0531
   7H (x)  0.1813  -0.0182   0.0850  -0.0413  -0.0077  -0.0836   0.0619   0.0181
   7H (y)  0.3947  -0.0813   0.1008   0.2735   0.2829  -0.0907   0.0592   0.0627
   7H (z)  0.0475  -0.0214  -0.0152   0.3140   0.3297  -0.1437   0.1151   0.0818
   8H (x)  0.1812   0.0182   0.0850   0.0412  -0.0077   0.0834   0.0623  -0.0181
   8H (y) -0.3896  -0.0839  -0.0907   0.3591  -0.3740  -0.1313  -0.0933   0.0856
   8H (z) -0.0811  -0.0057  -0.0467  -0.2097   0.2222   0.1066   0.0905  -0.0574
   9H (x)  0.2950  -0.0057   0.1555  -0.2813  -0.3196   0.2288  -0.1406   0.0311
   9H (y)  0.0643   0.1086  -0.1376   0.3813   0.3415  -0.0709   0.0754   0.0482
   9H (z) -0.0922  -0.0040  -0.0503  -0.0301  -0.0280   0.0235  -0.0519  -0.0435
  10H (x)  0.2950   0.0057   0.1555   0.2810  -0.3202  -0.2281  -0.1415  -0.0311
  10H (y) -0.0311   0.1016   0.1465   0.3513  -0.3151  -0.0593  -0.0549   0.0317
  10H (z) -0.1078   0.0385  -0.0037   0.1504  -0.1360  -0.0446  -0.0734   0.0566

 FREQ  : 3166.724 3167.832 3201.558 3202.657 3255.649 3264.150
 ERROR :    0.412    0.401    0.311    0.250    0.350    0.249
 F-CST :  2.95425  2.95632  3.01960  3.02168  3.12250  3.13883
 DIP(X):   -0.198   -0.005   -1.038   -0.066   -0.360    0.003
 DIP(Y):    0.059   -0.270   -0.095    0.514    0.057    0.796
 DIP(Z):   -0.342   -0.047    0.373    0.109   -0.295    0.134
 DIP TOT    0.399    0.274    1.107    0.530    0.469    0.807
   1C (x) -0.0016  -0.0015   0.0022   0.0030   0.0350  -0.0387
   1C (y) -0.0027  -0.0025   0.0019  -0.0000   0.0371  -0.0414
   1C (z)  0.0006  -0.0002   0.0011  -0.0002   0.0179  -0.0186
   2C (x) -0.0017   0.0015   0.0025  -0.0026   0.0358   0.0380
   2C (y)  0.0024  -0.0024  -0.0020  -0.0004  -0.0418  -0.0444
   2C (z)  0.0015  -0.0006   0.0004   0.0003   0.0052   0.0042
   3C (x)  0.0320  -0.0326   0.0271  -0.0227   0.0008   0.0048
   3C (y) -0.0143   0.0142   0.0365  -0.0323  -0.0037   0.0004
   3C (z)  0.0525  -0.0506   0.0027  -0.0029   0.0033   0.0037
   4C (x)  0.0313   0.0334   0.0239   0.0260   0.0007  -0.0047
   4C (y) -0.0031  -0.0030  -0.0312  -0.0358   0.0025   0.0015
   4C (z)  0.0532   0.0536  -0.0084  -0.0087   0.0043  -0.0034
   5H (x)  0.0281   0.0344  -0.0266  -0.0007  -0.4230   0.4295
   5H (y)  0.0285   0.0356  -0.0293   0.0005  -0.4692   0.4749
   5H (z)  0.0141   0.0173  -0.0131   0.0019  -0.2198   0.2258
   6H (x)  0.0288  -0.0339  -0.0259  -0.0030  -0.4317  -0.4206
   6H (y) -0.0323   0.0387   0.0308   0.0055   0.5255   0.5115
   6H (z)  0.0043  -0.0049  -0.0027  -0.0020  -0.0593  -0.0607
   7H (x) -0.2712  -0.2739  -0.3793  -0.4328   0.0097   0.0185
   7H (y)  0.2077   0.2110   0.2723   0.3117  -0.0036  -0.0158
   7H (z) -0.1517  -0.1540  -0.2427  -0.2775   0.0052   0.0113
   8H (x) -0.2767   0.2662  -0.4326   0.3812   0.0090  -0.0192
   8H (y) -0.1512   0.1465  -0.2058   0.1819   0.0013  -0.0116
   8H (z) -0.2144   0.2073  -0.3615   0.3194   0.0054  -0.0162
   9H (x) -0.1112  -0.1148   0.0942   0.1079  -0.0122   0.0060
   9H (y) -0.1756  -0.1788   0.1004   0.1137  -0.0186   0.0150
   9H (z) -0.5057  -0.5169   0.3413   0.3853  -0.0530   0.0384
  10H (x) -0.1135   0.1131   0.1065  -0.0952  -0.0122  -0.0056
  10H (y)  0.3347  -0.3293  -0.2302   0.2034   0.0349   0.0256
  10H (z) -0.4315   0.4257   0.3282  -0.2893  -0.0446  -0.0304

 ZERO POINT ENERGY:     53.40 kcal/mole,   ERROR:  0.003

 KEYWORD "INERTIAL". CARTESIAN COORDINATES IN THE INERTIAL FRAME:   3
  NO. ATOM     X         Y         Z       NO. ATOM     X         Y         Z
   1    6    0.0833    0.7155   -0.6893     2    6   -0.0834    0.7155    0.6893
   3    6    0.0989   -0.6525    1.0552     4    6   -0.0989   -0.6525   -1.0552
   5    1    0.4000    1.5252   -1.3438     6    1   -0.4001    1.5252    1.3437
   7    1    0.5646   -1.1380   -1.7799     8    1   -0.5645   -1.1379    1.7801
   9    1   -1.0739   -1.1385   -0.9161    10    1    1.0739   -1.1383    0.9161

 NORMAL MODES (CARTESIAN COORDINATES) IN THE INERTIAL FRAME:   4
 FREQ  : -849.293   -0.000   -0.000   -0.000   -0.000    0.000    0.000  418.039
   1C (x)  0.0241  -0.0327  -0.0875  -0.0700  -0.1032   0.1128  -0.0671   0.1142
   1C (y) -0.0518   0.1341  -0.0609  -0.0125   0.0396   0.0201   0.0247  -0.0072
   1C (z) -0.0258   0.0039  -0.0106  -0.0157  -0.0059   0.0703   0.1396   0.0048
   2C (x) -0.0241  -0.0647  -0.0917  -0.1671   0.0029   0.0009  -0.0320  -0.1142
   2C (y) -0.0518   0.0811  -0.0931   0.0109  -0.0497  -0.0803  -0.0127  -0.0072
   2C (z)  0.0258   0.0000  -0.0111  -0.0274   0.0069   0.0567   0.1439  -0.0048
   3C (x)  0.0065  -0.0879  -0.1173  -0.0149   0.1663  -0.0402   0.0074   0.0690
   3C (y)  0.0571   0.0646  -0.1057   0.0466  -0.0510  -0.1088  -0.0177   0.0084
   3C (z)  0.1321  -0.0501  -0.0455   0.0302  -0.0794  -0.0295   0.1057  -0.0436
   4C (x) -0.0065  -0.0390  -0.1110   0.1336   0.0038   0.1312  -0.0464  -0.0690
   4C (y)  0.0571   0.1507  -0.0483  -0.0482   0.0409   0.0487   0.0296   0.0084
   4C (z) -0.1321  -0.0547  -0.0461   0.0163  -0.0642  -0.0456   0.1107   0.0436
   5H (x)  0.1551  -0.0088  -0.0710  -0.1293  -0.2337   0.1727  -0.1016   0.3521
   5H (y) -0.0341   0.1567  -0.0500   0.0072   0.1055   0.0658   0.0477  -0.0685
   5H (z)  0.0526   0.0434   0.0110  -0.0199   0.0124   0.1558   0.1514   0.0503
   6H (x) -0.1552  -0.0711  -0.0791  -0.3184  -0.0267  -0.0455  -0.0331  -0.3521
   6H (y) -0.0341   0.0585  -0.1041  -0.0088  -0.1156  -0.1260  -0.0357  -0.0685
   6H (z) -0.0526   0.0249   0.0085  -0.0762   0.0741   0.0908   0.1718  -0.0503
   7H (x) -0.1184  -0.0274  -0.1175   0.2478  -0.0040   0.1860  -0.0542  -0.1821
   7H (y)  0.0958   0.1723  -0.0418   0.0144   0.1448   0.0967   0.0620  -0.1458
   7H (z) -0.2579  -0.0586  -0.0564   0.0788  -0.1409  -0.0276   0.0819   0.0473
   8H (x)  0.1185  -0.1100  -0.1283  -0.0028   0.2701  -0.1030   0.0365   0.1821
   8H (y)  0.0959   0.0430  -0.1123  -0.0159  -0.1549  -0.1569  -0.0500  -0.1458
   8H (z)  0.2578  -0.0848  -0.0599  -0.0006  -0.0540  -0.1192   0.1107  -0.0473
   9H (x)  0.1342  -0.0475  -0.1201   0.1870   0.0626   0.1158  -0.0322  -0.1675
   9H (y) -0.1239   0.1557  -0.0344  -0.1705  -0.0628   0.0465   0.0048   0.1996
   9H (z)  0.2253  -0.0967  -0.0614  -0.0364  -0.0148  -0.1606   0.1237   0.0621
  10H (x) -0.1343  -0.0899  -0.1257   0.0581   0.2036  -0.0329   0.0145   0.1675
  10H (y) -0.1240   0.0596  -0.1197   0.1689   0.0527  -0.1067   0.0071   0.1996
  10H (z) -0.2253  -0.0468  -0.0549   0.1147  -0.1801   0.0137   0.0690  -0.0621

 FREQ  :  661.593  710.519  756.265  872.825  891.570  986.124  997.253 1031.078
   1C (x) -0.0236   0.0235   0.0029  -0.0845   0.0437   0.0059   0.0669  -0.1020
   1C (y)  0.0267   0.0889  -0.0219   0.0075  -0.0629   0.0016   0.0035   0.0104
   1C (z) -0.0145  -0.0720   0.0184  -0.0178   0.0673   0.0140   0.0037  -0.0270
   2C (x) -0.0236   0.0235  -0.0029   0.0845   0.0437  -0.0058   0.0669   0.1020
   2C (y) -0.0267  -0.0889  -0.0219   0.0074   0.0629   0.0016  -0.0035   0.0105
   2C (z) -0.0145  -0.0720  -0.0184   0.0178   0.0673  -0.0140   0.0037   0.0271
   3C (x) -0.0058   0.0146   0.0403   0.0447   0.0074  -0.0300  -0.0826  -0.0858
   3C (y) -0.0045  -0.0502  -0.0018   0.0081   0.0477  -0.0285  -0.0321  -0.0154
   3C (z)  0.0075   0.0551   0.1056  -0.0082  -0.0411  -0.0652  -0.0178   0.0115
   4C (x) -0.0058   0.0146  -0.0403  -0.0447   0.0074   0.0299  -0.0827   0.0858
   4C (y)  0.0045   0.0502  -0.0018   0.0081  -0.0477  -0.0285   0.0321  -0.0154
   4C (z)  0.0075   0.0551  -0.1057   0.0082  -0.0411   0.0651  -0.0179  -0.0116
   5H (x)  0.1332  -0.3046  -0.0741   0.4680  -0.4633   0.0608  -0.2119   0.1968
   5H (y)  0.0054   0.1891   0.0370  -0.1582   0.0327  -0.0711   0.0050   0.0318
   5H (z)  0.0382  -0.0949   0.0478   0.0393  -0.0581  -0.0481  -0.1251   0.1393
   6H (x)  0.1332  -0.3046   0.0741  -0.4678  -0.4635  -0.0612  -0.2117  -0.1967
   6H (y) -0.0054  -0.1891   0.0370  -0.1582  -0.0328  -0.0711  -0.0049   0.0316
   6H (z)  0.0382  -0.0950  -0.0478  -0.0393  -0.0581   0.0479  -0.1252  -0.1390
   7H (x)  0.3329  -0.0933   0.0633   0.2041  -0.0182  -0.2065   0.2501  -0.2006
   7H (y) -0.1315  -0.1578   0.0020   0.1465  -0.0976   0.3675   0.1386  -0.2621
   7H (z)  0.4077   0.1101  -0.0144   0.1278  -0.0286  -0.4358   0.2011  -0.0904
   8H (x)  0.3329  -0.0933  -0.0634  -0.2041  -0.0183   0.2069   0.2499   0.2007
   8H (y)  0.1315   0.1578   0.0021   0.1464   0.0976   0.3674  -0.1391  -0.2616
   8H (z)  0.4076   0.1101   0.0144  -0.1278  -0.0287   0.4360   0.2005   0.0906
   9H (x) -0.1159  -0.0561  -0.2049   0.0352  -0.1267  -0.0335   0.1496  -0.0792
   9H (y)  0.1388   0.2086   0.2431  -0.1730   0.1659   0.0235  -0.3624   0.2890
   9H (z) -0.3619   0.1868  -0.4683  -0.1588  -0.2254  -0.2046   0.0934   0.0627
  10H (x) -0.1159  -0.0561   0.2050  -0.0351  -0.1267   0.0337   0.1495   0.0792
  10H (y) -0.1388  -0.2086   0.2432  -0.1729  -0.1660   0.0239   0.3623   0.2891
  10H (z) -0.3618   0.1867   0.4684   0.1589  -0.2254   0.2046   0.0931  -0.0623
 
 FREQ  : 1047.443 1125.689 1192.071 1368.110 1390.517 1498.058 1535.379 1616.226
   1C (x) -0.0120   0.0026  -0.0312   0.0193   0.0062   0.0134  -0.0083  -0.0272
   1C (y) -0.0179  -0.0167  -0.0115   0.0777   0.0698   0.1074  -0.1268  -0.0086
   1C (z)  0.0312   0.0211   0.0469  -0.0093   0.0270   0.0355  -0.0439   0.1899
   2C (x) -0.0121  -0.0025  -0.0312  -0.0193   0.0062  -0.0134  -0.0084   0.0272
   2C (y)  0.0179  -0.0167   0.0114   0.0775  -0.0699   0.1069   0.1273  -0.0086
   2C (z)  0.0312  -0.0211   0.0469   0.0093   0.0270  -0.0354  -0.0440  -0.1899
   3C (x)  0.0032   0.0220   0.0263   0.0088   0.0055   0.0185   0.0152  -0.0078
   3C (y)  0.0083  -0.0149  -0.0702  -0.0241  -0.0038  -0.1249  -0.1258   0.0315
   3C (z) -0.0931  -0.0252  -0.0342   0.0204   0.0123   0.0637   0.0400   0.0065
   4C (x)  0.0031  -0.0220   0.0263  -0.0088   0.0055  -0.0185   0.0151   0.0078
   4C (y) -0.0083  -0.0149   0.0702  -0.0242   0.0037  -0.1254   0.1252   0.0315
   4C (z) -0.0931   0.0252  -0.0341  -0.0204   0.0123  -0.0639   0.0398  -0.0065
   5H (x)  0.0459   0.0122   0.0286   0.0387   0.0163   0.0859  -0.0502   0.0226
   5H (y)  0.1377   0.3986  -0.3919   0.0546  -0.0546   0.0364   0.0396  -0.1569
   5H (z)  0.2507   0.5416  -0.3975  -0.0380  -0.1195  -0.0270   0.1314   0.0466
   6H (x)  0.0461  -0.0122   0.0286  -0.0387   0.0164  -0.0857  -0.0505  -0.0226
   6H (y) -0.1378   0.3984   0.3920   0.0548   0.0546   0.0367  -0.0394  -0.1569
   6H (z)  0.2510  -0.5414  -0.3978   0.0377  -0.1195   0.0264   0.1315  -0.0465
   7H (x) -0.0048   0.0101   0.0209  -0.2586  -0.2765   0.1362  -0.1107  -0.0722
   7H (y) -0.3971   0.0837  -0.0970  -0.3208  -0.3326   0.1128  -0.0771  -0.0752
   7H (z)  0.1821  -0.0171   0.0882  -0.0728  -0.0412  -0.0677   0.0490   0.0095
   8H (x) -0.0051  -0.0101   0.0209   0.2583  -0.2769  -0.1356  -0.1112   0.0722
   8H (y)  0.3976   0.0837   0.0971  -0.3203   0.3330   0.1123   0.0774  -0.0751
   8H (z)  0.1819   0.0171   0.0881   0.0727  -0.0412   0.0676   0.0493  -0.0095
   9H (x)  0.0653   0.0221   0.0085   0.1247   0.1208  -0.0619   0.0799   0.0467
   9H (y) -0.0485  -0.1066   0.1440  -0.3714  -0.3324   0.0661  -0.0660  -0.0405
   9H (z)  0.3050  -0.0031   0.1577  -0.2683  -0.3073   0.2230  -0.1320   0.0370
  10H (x)  0.0652  -0.0221   0.0085  -0.1245   0.1209   0.0615   0.0801  -0.0467
  10H (y)  0.0481  -0.1065  -0.1440  -0.3710   0.3330   0.0657   0.0661  -0.0404
  10H (z)  0.3051   0.0030   0.1577   0.2680  -0.3079  -0.2223  -0.1328  -0.0370

 FREQ  : 3166.724 3167.832 3201.558 3202.657 3255.649 3264.150
   1C (x) -0.0009  -0.0001  -0.0010  -0.0001  -0.0158   0.0162
   1C (y)  0.0026   0.0025  -0.0020   0.0001  -0.0395   0.0439
   1C (z) -0.0017  -0.0015   0.0021   0.0030   0.0333  -0.0371
   2C (x) -0.0009   0.0000  -0.0010  -0.0000  -0.0161  -0.0158
   2C (y) -0.0026   0.0024   0.0019   0.0003   0.0404   0.0431
   2C (z) -0.0018   0.0015   0.0024  -0.0026   0.0341   0.0364
   3C (x) -0.0576   0.0558  -0.0000   0.0003  -0.0039  -0.0041
   3C (y)  0.0056  -0.0058  -0.0365   0.0324   0.0031  -0.0010
   3C (z)  0.0253  -0.0261   0.0273  -0.0229   0.0003   0.0043
   4C (x) -0.0564  -0.0570   0.0003  -0.0003  -0.0039   0.0042
   4C (y) -0.0055  -0.0058   0.0321   0.0367  -0.0031  -0.0009
   4C (z)  0.0247   0.0267   0.0241   0.0261   0.0002  -0.0043
   5H (x) -0.0126  -0.0153   0.0113  -0.0017   0.1905  -0.1962
   5H (y) -0.0304  -0.0379   0.0310  -0.0008   0.4986  -0.5052
   5H (z)  0.0268   0.0328  -0.0254  -0.0009  -0.4030   0.4088
   6H (x) -0.0129   0.0151   0.0108   0.0032   0.1946   0.1923
   6H (y)  0.0312  -0.0374  -0.0300  -0.0051  -0.5089  -0.4949
   6H (z)  0.0275  -0.0323  -0.0247  -0.0026  -0.4114  -0.4004
   7H (x)  0.2147   0.2177   0.3271   0.3740  -0.0068  -0.0158
   7H (y) -0.1803  -0.1832  -0.2293  -0.2625   0.0027   0.0138
   7H (z) -0.2473  -0.2496  -0.3425  -0.3907   0.0089   0.0168
   8H (x)  0.2189  -0.2114   0.3729  -0.3294  -0.0062   0.0163
   8H (y)  0.1839  -0.1782   0.2617  -0.2313  -0.0022   0.0141
   8H (z) -0.2523   0.2426  -0.3907   0.3441   0.0083  -0.0173
   9H (x)  0.4805   0.4913  -0.3295  -0.3721   0.0504  -0.0359
   9H (y)  0.2553   0.2602  -0.1545  -0.1747   0.0269  -0.0211
   9H (z) -0.0540  -0.0562   0.0550   0.0637  -0.0062   0.0017
  10H (x)  0.4902  -0.4836  -0.3713   0.3276   0.0508   0.0346
  10H (y) -0.2603   0.2559   0.1739  -0.1538  -0.0272  -0.0204
  10H (z) -0.0551   0.0555   0.0624  -0.0562  -0.0062  -0.0015

 NORMAL MODES (INTERNAL COORDINATES),
 (b) FOR BOND, (a) FOR ANGLE, (t) FOR TWIST ANGLE:
 FREQ  : -849.293   -0.000   -0.000   -0.000   -0.000    0.000    0.000  418.039
   2C (b)  0.0570  -0.0000  -0.0000  -0.0000  -0.0000  -0.0000  -0.0000   0.0179
   3C (b) -0.0732  -0.0000  -0.0000   0.0000   0.0000   0.0000   0.0000  -0.0015
   3C (a)  0.0813  -0.0000   0.0000  -0.0000   0.0000   0.0000  -0.0000  -0.0700
   4C (b) -0.0732  -0.0000   0.0000  -0.0000   0.0000   0.0000   0.0000  -0.0015
   4C (a)  0.0813   0.0000  -0.0000   0.0000  -0.0000  -0.0000  -0.0000  -0.0700
   4C (d) -0.1014  -0.0000   0.0000   0.0000  -0.0000  -0.0000  -0.0000  -0.3357
   5H (b)  0.0042  -0.0000   0.0000   0.0000   0.0000  -0.0000   0.0000  -0.0038
   5H (a) -0.0684  -0.0000   0.0000  -0.0000   0.0000   0.0000   0.0000   0.0291
   5H (d) -0.1802  -0.0000  -0.0000   0.0000  -0.0000  -0.0000  -0.0000  -0.3348
   6H (b)  0.0042  -0.0000   0.0000  -0.0000   0.0000  -0.0000  -0.0000  -0.0038
   6H (a) -0.0684   0.0000  -0.0000   0.0000  -0.0000  -0.0000   0.0000   0.0291
   6H (d) -0.1802   0.0000   0.0000   0.0000  -0.0000  -0.0000  -0.0000  -0.3348
   7H (b) -0.0018  -0.0000  -0.0000   0.0000  -0.0000  -0.0000   0.0000  -0.0027
   7H (a)  0.0448  -0.0000  -0.0000  -0.0000   0.0000  -0.0000   0.0000   0.0566
   7H (d)  0.1703  -0.0000  -0.0000  -0.0000  -0.0000  -0.0000   0.0000   0.1850
   8H (b) -0.0018  -0.0000   0.0000   0.0000  -0.0000   0.0000  -0.0000  -0.0027
   8H (a)  0.0448   0.0000  -0.0000  -0.0000   0.0000   0.0000  -0.0000   0.0565
   8H (d)  0.1703   0.0000  -0.0000  -0.0000   0.0000   0.0000  -0.0000   0.1850
   9H (b)  0.0004   0.0000  -0.0000   0.0000  -0.0000   0.0000   0.0000   0.0052
   9H (a)  0.0691   0.0000  -0.0000   0.0000  -0.0000  -0.0000   0.0000  -0.0568
   9H (d)  0.5380  -0.0000  -0.0000  -0.0000  -0.0000  -0.0000   0.0000   0.1379
  10H (b)  0.0004   0.0000  -0.0000  -0.0000  -0.0000   0.0000  -0.0000   0.0052
  10H (a)  0.0692  -0.0000   0.0000   0.0000  -0.0000  -0.0000   0.0000  -0.0568
  10H (d)  0.5380  -0.0000   0.0000  -0.0000   0.0000   0.0000   0.0000   0.1378

 FREQ  :  661.593  710.519  756.265  872.825  891.570  986.124  997.253 1031.078
   2C (b) -0.0000  -0.0000  -0.0359   0.0151   0.0000  -0.0264   0.0000   0.0292
   3C (b) -0.0134  -0.0056   0.0180  -0.0123  -0.0178   0.0126   0.0028  -0.0032
   3C (a)  0.0544   0.2191   0.0808   0.0071  -0.1608  -0.0385   0.0021   0.0300
   4C (b)  0.0134   0.0056   0.0180  -0.0124   0.0178   0.0126  -0.0028  -0.0032
   4C (a) -0.0544  -0.2191   0.0808   0.0070   0.1608  -0.0385  -0.0020   0.0302
   4C (d) -0.0000   0.0000  -0.0905   0.1207   0.0000   0.0446  -0.0001   0.3473
   5H (b) -0.0020  -0.0071   0.0038   0.0031  -0.0010  -0.0008  -0.0025   0.0028
   5H (a) -0.0014   0.1085  -0.0463  -0.0256  -0.0108   0.0845   0.1188  -0.1975
   5H (d) -0.2188   0.3637   0.0631  -0.7237   0.6829  -0.0468   0.4426  -0.2975
   6H (b)  0.0020   0.0071   0.0038   0.0031   0.0010  -0.0008   0.0025   0.0028
   6H (a)  0.0014  -0.1085  -0.0463  -0.0256   0.0108   0.0844  -0.1189  -0.1971
   6H (d)  0.2188  -0.3636   0.0630  -0.7235  -0.6831  -0.0475  -0.4424  -0.2975
   7H (b)  0.0006  -0.0096   0.0006   0.0102  -0.0016   0.0127   0.0094  -0.0120
   7H (a) -0.0175   0.1558  -0.0124  -0.2028   0.0796  -0.2526  -0.2906   0.4144
   7H (d) -0.5733  -0.0171  -0.1728  -0.3292  -0.0296   0.6988  -0.3801   0.0446
   8H (b) -0.0006   0.0096   0.0006   0.0102   0.0016   0.0127  -0.0094  -0.0120
   8H (a)  0.0175  -0.1558  -0.0125  -0.2027  -0.0796  -0.2522   0.2908   0.4139
   8H (d)  0.5732   0.0170  -0.1729  -0.3293   0.0294   0.6993   0.3792   0.0453
   9H (b) -0.0085   0.0094  -0.0081  -0.0119   0.0011  -0.0008  -0.0175   0.0212
   9H (a) -0.0247  -0.1601  -0.1193   0.2026  -0.1464   0.0230   0.4431  -0.4400
   9H (d) -0.4533  -0.0147  -0.4003  -0.2326  -0.2104  -0.3158   0.3458  -0.2813
  10H (b)  0.0085  -0.0094  -0.0081  -0.0119  -0.0011  -0.0008   0.0175   0.0212
  10H (a)  0.0247   0.1601  -0.1193   0.2025   0.1464   0.0224  -0.4430  -0.4398
  10H (d)  0.4532   0.0147  -0.4004  -0.2326   0.2103  -0.3161  -0.3454  -0.2820

 FREQ  : 1047.443 1125.689 1192.071 1368.110 1390.517 1498.058 1535.379 1616.226
   2C (b) -0.0000  -0.0412  -0.0000   0.0231  -0.0000  -0.0672  -0.0001  -0.3837
   3C (b) -0.0208   0.0004   0.0648   0.1039  -0.0672   0.2516   0.2671   0.0075
   3C (a) -0.1121  -0.0063  -0.0905  -0.0165   0.1003   0.0210  -0.1685   0.1434
   4C (b)  0.0208   0.0004  -0.0648   0.1041   0.0672   0.2527  -0.2659   0.0075
   4C (a)  0.1121  -0.0063   0.0905  -0.0167  -0.1003   0.0204   0.1686   0.1434
   4C (d) -0.0002  -0.0380  -0.0000  -0.0304   0.0000  -0.0200  -0.0000   0.0094
   5H (b)  0.0006  -0.0012   0.0016   0.0058  -0.0015   0.0059   0.0062  -0.0096
   5H (a) -0.2753  -0.6084   0.5146   0.0396   0.2716   0.0869  -0.3926   0.1814
   5H (d) -0.0360   0.0424  -0.1527  -0.0207  -0.0656  -0.0872   0.1333  -0.0859
   6H (b) -0.0006  -0.0012  -0.0016   0.0058   0.0015   0.0059  -0.0062  -0.0096
   6H (a)  0.2756  -0.6081  -0.5149   0.0390  -0.2716   0.0853   0.3930   0.1814
   6H (d)  0.0363   0.0423   0.1527  -0.0205   0.0656  -0.0866  -0.1337  -0.0859
   7H (b) -0.0145   0.0038  -0.0101   0.0148   0.0136  -0.0093   0.0073  -0.0118
   7H (a)  0.3933  -0.1108   0.2137   0.3281   0.3921  -0.2426   0.2046   0.2278
   7H (d) -0.3605   0.0485  -0.1666   0.1446   0.1094  -0.0114   0.0483  -0.0571
   8H (b)  0.0145   0.0038   0.0101   0.0148  -0.0136  -0.0092  -0.0073  -0.0118
   8H (a) -0.3940  -0.1107  -0.2138   0.3275  -0.3926  -0.2415  -0.2054   0.2278
   8H (d)  0.3605   0.0484   0.1666   0.1445  -0.1096  -0.0112  -0.0483  -0.0571
   9H (b)  0.0130  -0.0022   0.0075   0.0037   0.0059  -0.0099   0.0054   0.0028
   9H (a) -0.1178   0.1128  -0.1805   0.4110   0.4027  -0.2671   0.2382  -0.0086
   9H (d)  0.4671   0.0255   0.1896  -0.0748  -0.1973   0.2495  -0.0642   0.1427
  10H (b) -0.0130  -0.0022  -0.0075   0.0037  -0.0059  -0.0099  -0.0054   0.0028
  10H (a)  0.1184   0.1128   0.1805   0.4106  -0.4034  -0.2659  -0.2392  -0.0087
  10H (d) -0.4667   0.0255  -0.1896  -0.0746   0.1975   0.2491   0.0652   0.1427

 FREQ  : 3166.724 3167.832 3201.558 3202.657 3255.649 3264.150
   2C (b) -0.0000   0.0029   0.0003  -0.0056   0.0008   0.0768
   3C (b) -0.0082   0.0080   0.0433  -0.0358   0.0287   0.0355
   3C (a)  0.0294  -0.0259   0.0075  -0.0086  -0.0870  -0.0322
   4C (b)  0.0081   0.0080  -0.0385  -0.0410  -0.0279   0.0361
   4C (a) -0.0289  -0.0265  -0.0062  -0.0094   0.0863  -0.0340
   4C (d)  0.0007  -0.0728   0.0005  -0.0049  -0.0001  -0.0088
   5H (b) -0.0451  -0.0551   0.0447   0.0013   0.7229  -0.7386
   5H (a)  0.0022  -0.0013  -0.0021   0.0033  -0.0539   0.0035
   5H (d)  0.0342  -0.0371   0.0031  -0.0000   0.0191   0.0054
   6H (b)  0.0463  -0.0543  -0.0435  -0.0050  -0.7380  -0.7235
   6H (a) -0.0021  -0.0013   0.0017   0.0036   0.0540   0.0024
   6H (d) -0.0334  -0.0378  -0.0029  -0.0004  -0.0190   0.0058
   7H (b)  0.4214   0.4276   0.5561   0.6348  -0.0101  -0.0325
   7H (a) -0.0585  -0.0600   0.0092   0.0104   0.0201  -0.0228
   7H (d) -0.0091  -0.0081   0.0049   0.0027  -0.0054   0.0300
   8H (b) -0.4299   0.4158  -0.6343   0.5591   0.0090  -0.0334
   8H (a)  0.0596  -0.0588  -0.0101   0.0092  -0.0206  -0.0224
   8H (d)  0.0092  -0.0080  -0.0052   0.0020   0.0060   0.0299
   9H (b) -0.6020  -0.6150   0.3793   0.4283  -0.0623   0.0453
   9H (a)  0.0483   0.0508   0.0275   0.0316  -0.0164   0.0134
   9H (d)  0.0033   0.0008  -0.0128  -0.0107   0.0252   0.0008
  10H (b)  0.6142  -0.6051  -0.4272   0.3771   0.0628   0.0437
  10H (a) -0.0493   0.0497  -0.0315   0.0279   0.0166   0.0130
  10H (d) -0.0033   0.0009   0.0140  -0.0090  -0.0252   0.0014
 MOLECULAR WEIGHT:      54.091400 AMU
 MOMENTS OF INERTIA IN 10**(-40)GRAM-CM**2: 1.36693D+02 8.89595D+01 5.99936D+01
 MOMENTS OF INERTIA (CM-1):                 2.04789D-01 3.14674D-01 4.66604D-01

 AM1 RHF SINGLET BONDS T=AUTO LTRD GRAD INERTIAL
 Conrotary cyclization TS
 LTRD on TS, INERTIAL

     GEOMETRY OPTIMISED : GRADIENT NORM MINIMISED
     SCF FIELD WAS ACHIEVED

                                AM1    CALCULATION
                                                            VERSION 8.13

                                                       Feb-12-2004

          FINAL HEAT OF FORMATION =      81.094359 kcal
                                  =     339.379892 kJ
          ELECTRONIC ENERGY       =   -1951.479396 eV
          CORE-CORE REPULSION     =    1360.156913 eV
          TOTAL ENERGY            =    -591.322482 eV
          GRADIENT NORM           =       0.064094
          RMS GRADIENT NORM       =       0.013083
          UNSTABLE MODE(S)        =       1 ( ACCURATE  )
          IONISATION POTENTIAL    =       9.073025 eV
          MOLECULAR POINT GROUP   = C2    0.100000
          NO. OF FILLED LEVELS    =      11 (OCC = 2)
          MOLECULAR WEIGHT        =      54.091
          SCF CALCULATIONS        =      92
          COMPUTATION TIME        =       0.28     seconds

       FINAL  POINT  AND  DERIVATIVES
   PARAMETER     ATOM    TYPE            VALUE       GRADIENT
      1          2 C     BOND            1.388703    -0.027434  kcal/angstrom
      2          3 C     BOND            1.427744    -0.001630  kcal/angstrom
      3          3 C     ANGLE         103.835133     0.005296  kcal/radian
      4          4 C     BOND            1.427798     0.055420  kcal/angstrom
      5          4 C     ANGLE         103.830880    -0.002529  kcal/radian
      6          4 C     DIHEDRAL      -18.665958    -0.001483  kcal/radian
      7          5 H     BOND            1.088195    -0.001712  kcal/angstrom
      8          5 H     ANGLE         129.198977     0.003407  kcal/radian
      9          5 H     DIHEDRAL      154.427150    -0.001236  kcal/radian
     10          6 H     BOND            1.088201    -0.002013  kcal/angstrom
     11          6 H     ANGLE         129.193239    -0.001554  kcal/radian
     12          6 H     DIHEDRAL      154.426969    -0.001837  kcal/radian
     13          7 H     BOND            1.095944    -0.000259  kcal/angstrom
     14          7 H     ANGLE         121.105230     0.001377  kcal/radian
     15          7 H     DIHEDRAL      136.759657     0.000022  kcal/radian
     16          8 H     BOND            1.095942     0.000736  kcal/angstrom
     17          8 H     ANGLE         121.109065     0.001135  kcal/radian
     18          8 H     DIHEDRAL      136.769421     0.005056  kcal/radian
     19          9 H     BOND            1.098245     0.003557  kcal/angstrom
     20          9 H     ANGLE         120.319526     0.011858  kcal/radian
     21          9 H     DIHEDRAL      -65.093035    -0.002588  kcal/radian
     22         10 H     BOND            1.098254     0.003575  kcal/angstrom
     23         10 H     ANGLE         120.311874    -0.003583  kcal/radian
     24         10 H     DIHEDRAL      -65.090114    -0.001981  kcal/radian

    ATOM    CHEMICAL   BOND LENGTH    BOND ANGLE    TWIST ANGLE
   NUMBER   SYMBOL     (ANGSTROMS)     (DEGREES)     (DEGREES)
    (I)                   NA:I          NB:NA:I      NC:NB:NA:I   NA  NB  NC
      1     C
      2     C          1.38870 *                                   1
      3     C          1.42774 *      103.83513 *                  2   1
      4     C          1.42780 *      103.83088 *   -18.66596 *    1   2   3
      5     H          1.08819 *      129.19898 *   154.42715 *    1   2   3
      6     H          1.08820 *      129.19324 *   154.42697 *    2   1   4
      7     H          1.09594 *      121.10523 *   136.75966 *    4   1   2
      8     H          1.09594 *      121.10906 *   136.76942 *    3   2   1
      9     H          1.09824 *      120.31953 *   -65.09303 *    4   1   2
     10     H          1.09825 *      120.31187 *   -65.09011 *    3   2   1

   MOLECULAR POINT GROUP            SYMMETRY CRITERIA
            C2                          0.10000000

          RHF  EIGENVALUES
 -37.23621 -27.67106 -24.67975 -19.24721 -16.24071 -14.91917 -14.37767 -12.74003
 -12.64659  -9.47216  -9.07302   0.56156   1.21769   4.23796   4.48563   4.57493
   4.62482   4.94560   4.96850   5.29256   5.38627   6.04972

          NET ATOMIC CHARGES AND DIPOLE CONTRIBUTIONS
         ATOM NO.   TYPE          CHARGE        ATOM ELECTRON DENSITY
           1         C           -0.1709          4.1709
           2         C           -0.1709          4.1709
           3         C           -0.1858          4.1858
           4         C           -0.1858          4.1858
           5         H            0.1382          0.8618
           6         H            0.1382          0.8618
           7         H            0.0989          0.9011
           8         H            0.0989          0.9011
           9         H            0.1195          0.8805
          10         H            0.1195          0.8805

 DIPOLE (DEBYE)   X         Y         Z       TOTAL
 POINT-CHG.    -0.000     0.368     0.060     0.373
 HYBRID        -0.000     0.073     0.012     0.073
 SUM           -0.000     0.440     0.072     0.446


          CARTESIAN COORDINATES
    NO.       ATOM               X         Y         Z
     1        C                   0.0000    0.0000    0.0000
     2        C                   1.3887    0.0000    0.0000
     3        C                   1.7301    1.3863    0.0000
     4        C                  -0.3413    1.3135    0.4437
     5        H                  -0.6878   -0.7607   -0.3640
     6        H                   2.0764   -0.8373    0.1014
     7        H                  -1.1404    1.8852   -0.0417
     8        H                   2.5294    1.7726    0.6427
     9        H                  -0.0862    1.6387    1.4612
    10        H                   1.4749    2.0200   -0.8599

          ATOMIC ORBITAL ELECTRON POPULATIONS
   1.23313   0.94831   0.95832   1.03113   1.23312   0.94831   0.95559   1.03385
   1.27054   0.96071   0.94438   1.01015   1.27055   0.96069   0.94388   1.01065
   0.86175   0.86177   0.90112   0.90110   0.88048   0.88048

                    BOND ORDERS AND VALENCIES

               C   1      C   2      C   3      C   4      H   5      H   6
 ------------------------------------------------------------------------------
    C   1   3.925940
    C   2   1.582483   3.925949
    C   3   0.007699   1.336573   3.915890
    C   4   1.336560   0.007698   0.642961   3.915884
    H   5   0.941906   0.009240   0.015938   0.009510   0.980888
    H   6   0.009238   0.941908   0.009510   0.015940   0.000151   0.980891
    H   7   0.008221   0.011551   0.001859   0.957692   0.000018   0.001018
    H   8   0.011552   0.008221   0.957687   0.001860   0.001018   0.000018
    H   9   0.007986   0.020291   0.000196   0.943467   0.003098   0.000009
    H  10   0.020295   0.007984   0.943466   0.000196   0.000009   0.003098
               H   7      H   8      H   9      H  10
 ------------------------------------------------------
    H   7   0.990222
    H   8   0.000056   0.990219
    H   9   0.009432   0.000376   0.985714
    H  10   0.000376   0.009432   0.000859   0.985716

     FULL COMPUTATION TIME :      0.28 SECONDS
 Process Info: 0.4u 0.3s 0:01 74%
1

Information on the set-up and initial stages of the LTRD procedure are listed in this section.

2

Frequencies are reported just as in a FORCE calculation. We note that there is one and only one negative frequency, which indicates that this geometry is a transition state.

3

The keyword INERTIAL causes an additional display of frequencies and normal modes but this time in the inertial frame. The Cartesian coordinates representing the inertial frame are displayed here.

4

The normal mode components in the inertial frame are listed.