Description of the output file for benzene
       illustrating the use of symmetry

(move the cursor over the file to see what the parts are)

A one-line description of the symmetry functions used is output. If symmetry is used, the geometry of benzene can be defined using two parameters, the C-C and C-H bond-length distances. All other coordinates are defined by symmetry.
All symmetry data in the input data set is output at the start of the calculation. Here, the C-C bond-length (function 1) of atom 2 is used in defining the bond-lengths of atoms 3-6, and the C-H bond-length of atom 7 is used in defining the C-H bond lengths of atoms 8-12.
For information on the output of a basic geometry optimization calculation, see formic acid output.
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 ** Site#:   21            For non-commercial use only         Version 7.061W **
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 ** Cite this work as: MOPAC2007, James J. P. Stewart, Stewart Computational  **
 ** Chemistry, Version 7.061W web: HTTP://OpenMOPAC.net   Days remaining: 364 **
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 **                                                                           **
 **                                MOPAC2007                                  **
 **                                                                           **
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                            PM6 CALCULATION RESULTS


 *******************************************************************************
 *  CALCULATION DONE:                                Sun Mar  4 19:41:54 2007  *
 *  SYMMETRY - SYMMETRY CONDITIONS TO BE IMPOSED
 *  T=       - A TIME OF 172800.0 SECONDS REQUESTED
 *  DUMP=N   - RESTART FILE WRITTEN EVERY  7200.000 SECONDS
 *******************************************************************************



    PARAMETER DEPENDENCE DATA

        REFERENCE ATOM      FUNCTION NO.    DEPENDENT ATOM(S)
            2                  1               3    4    5    6
            7                  1               8    9   10   11   12

              DESCRIPTIONS OF THE FUNCTIONS USED

   1      BOND LENGTH    IS SET EQUAL TO THE REFERENCE BOND LENGTH
 SYMMETRY
 Benzene

  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          0.0000000       0.000000       0.000000   
     2       C          1.4000000  *    0.000000       0.000000        1     0     0
     3       C          1.4000000     120.000000       0.000000        2     1     0
     4       C          1.4000000     120.000000       0.000000        3     2     1
     5       C          1.4000000     120.000000       0.000000        4     3     2
     6       C          1.4000000     120.000000       0.000000        5     4     3
     7       H          1.1000000  *  120.000000     180.000000        1     6     5
     8       H          1.1000000     120.000000     180.000000        5     6     1
     9       H          1.1000000     120.000000     180.000000        2     1     6
    10       H          1.1000000     120.000000     180.000000        6     1     2
    11       H          1.1000000     120.000000     180.000000        3     2     1
    12       H          1.1000000     120.000000     180.000000        4     3     2
 


          CARTESIAN COORDINATES 

    NO.       ATOM         X         Y         Z

     1         C        0.0000    0.0000    0.0000
     2         C        1.4000    0.0000    0.0000
     3         C        2.1000    1.2124    0.0000
     4         C        1.4000    2.4249    0.0000
     5         C        0.0000    2.4249    0.0000
     6         C       -0.7000    1.2124    0.0000
     7         H       -0.5500   -0.9526    0.0000
     8         H       -0.5500    3.3775    0.0000
     9         H        1.9500   -0.9526    0.0000
    10         H       -1.8000    1.2124    0.0000
    11         H        3.2000    1.2124    0.0000
    12         H        1.9500    3.3775    0.0000

  H (PM6): J. J. P. Stewart  J. Mol. Mod. (to be submitted)!
  C (PM6): J. J. P. Stewart  J. Mol. Mod. (to be submitted)!

           Empirical Formula: C6 H6



      MOLECULAR POINT GROUP   :   D6h 


      RHF CALCULATION, NO. OF DOUBLY OCCUPIED LEVELS =   15


          DIAGONAL MATRIX USED AS START HESSIAN

 CYCLE:   1 TIME:   0.016 TIME LEFT:  2.00D  GRAD.:    48.852 HEAT: 24.46682    
 CYCLE:   2 TIME:   0.016 TIME LEFT:  2.00D  GRAD.:    36.238 HEAT: 24.26292    
 CYCLE:   3 TIME:   0.000 TIME LEFT:  2.00D  GRAD.:    13.948 HEAT: 24.20688    
 CYCLE:   4 TIME:   0.016 TIME LEFT:  2.00D  GRAD.:     4.393 HEAT: 24.19374    
 CYCLE:   5 TIME:   0.000 TIME LEFT:  2.00D  GRAD.:     2.448 HEAT: 24.19197    
 CYCLE:   6 TIME:   0.000 TIME LEFT:  2.00D  GRAD.:     0.132 HEAT: 24.19160    

     RMS GRADIENT =  0.13170  IS LESS THAN CUTOFF =  1.00000



 -------------------------------------------------------------------------------
 SYMMETRY
 Benzene



     GEOMETRY OPTIMISED USING EIGENVECTOR FOLLOWING (EF).     
     SCF FIELD WAS ACHIEVED                                   


                               PM6     CALCULATION
                                                       MOPAC2007 (Version: 7.061W)
                                                       Sun Mar  4 19:41:54 2007
                                                       No. of days left = 364




          FINAL HEAT OF FORMATION =         24.19160 KCAL =     101.21766 KJ


          TOTAL ENERGY            =       -815.66132 EV
          ELECTRONIC ENERGY       =      -3282.81371 EV  POINT GROUP:     D6h 
          CORE-CORE REPULSION     =       2467.15239 EV
          COSMO AREA              =        120.13 SQUARE ANGSTROMS
          COSMO VOLUME            =        108.61 CUBIC ANGSTROMS

          IONIZATION POTENTIAL    =          9.63796
          NO. OF FILLED LEVELS    =         15
          MOLECULAR WEIGHT        =         78.113

          MOLECULAR DIMENSIONS (Angstroms)

            Atom       Atom       Distance
            H     9    H     8     4.97371
            H     7    H    12     4.30736
            H    12    C     2     0.00000


          SCF CALCULATIONS        =         10
          COMPUTATION TIME        =          0.047 SECONDS




  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          0.0000000       0.000000       0.000000   
     2       C          1.3986648  *    0.000000       0.000000        1     0     0
     3       C          1.3986648     120.000000       0.000000        2     1     0
     4       C          1.3986648     120.000000       0.000000        3     2     1
     5       C          1.3986648     120.000000       0.000000        4     3     2
     6       C          1.3986648     120.000000       0.000000        5     4     3
     7       H          1.0881890  *  120.000000     180.000000        1     6     5
     8       H          1.0881890     120.000000     180.000000        5     6     1
     9       H          1.0881890     120.000000     180.000000        2     1     6
    10       H          1.0881890     120.000000     180.000000        6     1     2
    11       H          1.0881890     120.000000     180.000000        3     2     1
    12       H          1.0881890     120.000000     180.000000        4     3     2

           Empirical Formula: C6 H6



      MOLECULAR POINT GROUP   :   D6h 


                  EIGENVALUES

 -29.73046 -25.87017 -25.87017 -21.19583 -21.19583 -17.77993 -15.73087 -15.06747
 -14.19682 -14.19682 -13.16066 -11.93739 -11.93739  -9.63796  -9.63796   0.38156
   0.38156   2.71421   4.48356   4.48356   5.03248   5.31962   5.31962   5.56436
   5.60665   6.08034   6.08034   6.27856   6.27856   6.46956


              NET ATOMIC CHARGES AND DIPOLE CONTRIBUTIONS

  ATOM NO.   TYPE          CHARGE      No. of ELECS.   s-Pop       p-Pop       
    1          C          -0.143633        4.1436     1.10599     3.03765
    2          C          -0.143633        4.1436     1.10599     3.03765
    3          C          -0.143633        4.1436     1.10599     3.03765
    4          C          -0.143633        4.1436     1.10599     3.03765
    5          C          -0.143633        4.1436     1.10599     3.03765
    6          C          -0.143633        4.1436     1.10599     3.03765
    7          H           0.143633        0.8564     0.85637
    8          H           0.143633        0.8564     0.85637
    9          H           0.143633        0.8564     0.85637
   10          H           0.143633        0.8564     0.85637
   11          H           0.143633        0.8564     0.85637
   12          H           0.143633        0.8564     0.85637
 DIPOLE           X         Y         Z       TOTAL
 POINT-CHG.     0.000     0.000     0.000     0.000
 HYBRID         0.000     0.000     0.000     0.000
 SUM            0.000     0.000     0.000     0.000


          CARTESIAN COORDINATES 

    NO.       ATOM               X         Y         Z

     1         C                  0.0000    0.0000    0.0000
     2         C                  1.3987    0.0000    0.0000
     3         C                  2.0980    1.2113    0.0000
     4         C                  1.3987    2.4226    0.0000
     5         C                  0.0000    2.4226    0.0000
     6         C                 -0.6993    1.2113    0.0000
     7         H                 -0.5441   -0.9424    0.0000
     8         H                 -0.5441    3.3650    0.0000
     9         H                  1.9428   -0.9424    0.0000
    10         H                 -1.7875    1.2113    0.0000
    11         H                  3.1862    1.2113    0.0000
    12         H                  1.9428    3.3650    0.0000


          ATOMIC ORBITAL ELECTRON POPULATIONS

   1.10599   0.99787   1.03977   1.00000   1.10599   0.99787   1.03977   1.00000
   1.10599   1.06072   0.97693   1.00000   1.10599   0.99787   1.03977   1.00000
   1.10599   0.99787   1.03977   1.00000   1.10599   1.06072   0.97693   1.00000
   0.85637   0.85637   0.85637   0.85637   0.85637   0.85637



 TOTAL CPU TIME:             0.08 SECONDS

 == MOPAC DONE ==