7

CHN Methods

Introduction
CHN Theory
CHN Dedicated Keywords
Example Calculation
Input File (chn_methods/chn21.dat) :
Archive File (chn_methods/chn21.arc) :
Output File (chn_methods/chn21.out) :

Introduction

The location of transition states and the calculation of their properties is the central question in studying reaction mechanisms using quantum mechanical procedures. When a reasonable guess at the location of a transition state is known, standard gradient minimizers (such as LTRD and TRUSTG) can be very effective at refining the geometry. Even when a reasonable guess is given, gradient minimizers may still fail. Also, gradient minimizers are not selective and may locate any nearby critical point including local minima or other nearby critical points (inflection points) without regard to their relationship to the reaction path. Reaction coordinate methods (IRC and PATH) can sometimes prove useful for finding transition states, however, these methods generate a series of relatively inexpensive intermediate optimizations and so can fail to locate a saddle point when a non-continuous reaction path is followed. Transition states corresponding to the crossing of electronic states (an avoided crossing) are often responsible for such discontinuities in the reaction path. The CHN methods were developed to overcome many of these difficulties.

CHN (and its predecessor CHAIN) was developed to locate the transition state(s) between a given pair of minima (respectively the reactants and the products of the chemical reaction under study). CHN does not require a guess at the transition state, so avoids the major limitation of local gradient minimizers. Non-local search strategies, such as simulated annealing (MANNEAL, GANNEAL and TSANNEAL), can also find transition states without requiring a guess for the transition state, however, it is impossible to focus the search on just the transition state(s) of interest.

CHN Theory

CHN takes as input two or more geometries. Each of the geometries must have the same composition and atom ordering. The first geometry is taken as the reactant (starting point) and the last geometry is taken as the product (ending point). If more than 2 geometries are specified, then they are taken as intermediates on the path between the reactants and the products. (CHAIN is an exception to this rule and expects exactly 3 geometries, which are given in the order--approximate transition state, reactant, and then product.) If OPTIL is specified then the reactant geometry is optimized to a minimum by TRUSTE and if OPTIR is specified then the product geometry is optimized to a minimum. OPTILR or OPTIRL causes both geometries to be optimized.

The first stage of CHN is to generate a series of geometries that form a smooth continuous path between the reactants and products. If more than 2 geometries were supplied by the user, then the generated path will pass through those additional geometries. The generated geometries are approximately evenly spaced, like pearls on a chain (hence the name CHAIN/CHN). Energies and a tentative categorization (type of extrema) of each geometry in the chain is given in the output file. If CHECKCHN is used instead of CHN or FULLCHN, then the program halts at this point. (This can be useful for quickly trying out various options without having to do a full calculation.)

This initial chain (iteration 0) is represented as a series of geometries C(0)=(R,...,p(i),...,P) running from reactants, R, to products, P. Starting with C(n) (the chain at iteration n), the geometries are relaxed in directions perpendicular to the chain path giving rise to a new chain C(n+1) at iteration n+1. During each chain iteration, the geometries are relaxed in directions perpendicular to the chain path. The highest energy point along the path is relaxed by a dedicated trust region method. As the chain evolves, it must regularized so that the distance between successive nodes is neither too small or too large. So, if the distance between nodes becomes too large, a new geometry may be inserted and similarly if the distance between nodes becomes too small, a node may be removed. (The threshold for determining when two nodes are too far apart varies but is printed in the output file.) Next, a new highest energy point along the path is selected and is characterized by using HESSEI. If this geometry contains spurious negative eigenvalues, the geometry is displaced along the eigenvectors corresponding to the spurious eigenvalues. This chain iteration process is then repeated until the chain is converged. If FULLCHN is used, then refinement will take place over the entire chain to isolate all extrema along the path. This is more expensive than just CHN or CHAIN but is particularly useful for multi-step reaction mechanisms.

FORCE or LFORCE may be used along with CHAIN, CHN, or FULLCHN to properly characterize the resulting extrema and to compute their IR frequencies. If THERMO is specified (along with FORCE) then thermodynamic properties are also computed at each of the extrema. The output file (jobname.out) will contain the limitant (highest energy) transition state along CHN path. Both the archive file (jobname.arc) and the visualization file (jobname.vis) will contain all of the geometries along the path and are useful for visualizing the entire path.

CHN Dedicated Keywords

This section contains an alphabetical list of all keywords used with the CHN and CHAIN methods.

CHAIN

Find transition state using CHAIN method.

CHECKCHN

Build trial path for CHN only.

CHN

Locate limitant transition state along CHN path.

DISSOC

Define the dissociation threshold for CHN methods.

FULLCHN

Locate transition state(s) and intermediate point(s) along CHN path.

OPTIL

Optimize left (reactant) starting geometry.

OPTILR

Optimize both the left (reactant) and right (product) starting geometries.

OPTIR

Optimize right (product) starting geometry.

OPTIRL

Optimize both the right (product) and left (reactant) starting geometries.

Example Calculation

Input File (chn_methods/chn21.dat) :

  am1 rhf singlet t=auto chn optil optir grad     1
Triple Wammy (C3H3N3 -> 3HCN)
-----
 N              0.000000  0    0.000000  0    0.000000  0    0    0    0     2
 C              1.364010  1    0.000000  0    0.000000  0    1    0    0
 N              1.364100  1  125.728210  1    0.000000  0    2    1    0
 C              1.364010  1  114.272230  1   -0.002010  1    3    2    1
 N              1.364100  1  125.726430  1    0.001780  1    4    3    2
 C              1.364100  1  114.272450  1    0.000900  1    1    2    3
 H              1.110030  1  117.137080  1 -179.999710  1    2    1    6
 H              1.110020  1  117.138900  1 -179.998010  1    4    3    2
 H              1.110020  1  117.135970  1 -179.999330  1    6    1    2
 0              0.000000  0    0.000000  0    0.000000  0    0    0    0
 N              0.000000  0    0.000000  0    0.000000  0    0    0    0     3
 C              3.222417  1    0.000000  0    0.000000  0    1    0    0
 N              1.364100  1  129.119935  1    0.000000  0    2    1    0
 C              3.060000  1  112.599744  1   -0.001838  1    3    2    1
 N              1.364100  1  127.398916  1    0.001626  1    4    3    2
 C              1.364100  1  110.880725  1    0.000883  1    1    2    3
 H              1.110030  1  113.745355  1 -179.999715  1    2    1    6
 H              1.110020  1  115.466414  1 -179.998029  1    4    3    2
 H              1.110020  1  117.135970  1 -179.999277  1    6    1    2
 0              0.000000  0    0.000000  0    0.000000  0    0    0    0
1

Keyword CHN specifies a CHN calculation is to be performed. OPTIL specifies that the left most geometry (reactant geometry) is to be optimized prior to building the chain. OPTIR specifies that the right most geometry (product geometry) is to be optimized prior to building the chain. (OPTILR can be used in place of OPTIL and OPTIR.)

2

The geometry specification of the reactant (left minimum) is provided.

3

The geometry specification of the product (right minimum) is provided.

Archive File (chn_methods/chn21.arc) :

 Timestamp: 2004-02-12-14-36-51-0000000481-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: C3H3N3
 Triple Wammy (C3H3N3 -> 3HCN)
 -----

     GEOMETRY OPTIMISED : GRADIENT NORM MINIMISED
     SCF FIELD WAS ACHIEVED

          FINAL HEAT OF FORMATION =      58.007913 kcal   1
                                  =     242.763115 kJ
          ELECTRONIC ENERGY       =   -3510.271743 eV
          CORE-CORE REPULSION     =    2465.218144 eV
          TOTAL ENERGY            =   -1045.053599 eV
          GRADIENT NORM           =       0.078721
          RMS GRADIENT NORM       =       0.017178
          UNSTABLE MODE(S)        =       0 ( ESTIMATE  )
          FOR REACTION COORDINATE =       0.000000 angstroms or radians   2
          DIPOLE                  =       0.000052 debyes
          NO. OF FILLED LEVELS    =      15 (OCC = 2)
          KOOPMAN IONISATION POTENTIAL =     11.32 eV
          MOLECULAR POINT GROUP   = D3H   0.100000
          MOLECULAR WEIGHT        =      81.077
          COMPUTATION TIME        =       2.25     seconds

          FINAL GEOMETRY OBTAINED                                 CHARGE
 AM1 RHF SINGLET T=AUTO CHN OPTIL OPTIR GRAD
 Triple Wammy (C3H3N3 -> 3HCN)
 -----
  N     0.000000  0    0.000000  0    0.000000  0    0   0   0   -0.1905
  C     1.364010  1    0.000000  0    0.000000  0    1   0   0   -0.0094
  N     1.364100  1  125.728210  1    0.000000  0    2   1   0   -0.1905
  C     1.364010  1  114.272230  1   -0.002010  1    3   2   1   -0.0094
  N     1.364100  1  125.726430  1    0.001780  1    4   3   2   -0.1905
  C     1.364100  1  114.272450  1    0.000900  1    1   2   3   -0.0094
  H     1.110030  1  117.137080  1 -179.999710  1    2   1   6    0.1999
  H     1.110020  1  117.138900  1 -179.998010  1    4   3   2    0.1999
  H     1.110020  1  117.135970  1 -179.999330  1    6   1   2    0.1999
  0     0.000000  0    0.000000  0    0.000000  0    0   0   0
 Timestamp: 2004-02-12-14-36-51-0000000481-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: C3H3N3
 Triple Wammy (C3H3N3 -> 3HCN)
 -----


     SCF FIELD WAS ACHIEVED

          FINAL HEAT OF FORMATION =      94.425983 kcal
                                  =     395.172738 kJ   
          ELECTRONIC ENERGY       =   -3468.476749 eV
          CORE-CORE REPULSION     =    2425.002355 eV
          TOTAL ENERGY            =   -1043.474393 eV
          GRADIENT NORM           =     140.780462
          RMS GRADIENT NORM       =      30.720815
          FOR REACTION COORDINATE =       0.592266 angstroms or radians
          DIPOLE                  =       0.287746 debyes
          NO. OF FILLED LEVELS    =      15 (OCC = 2)
          KOOPMAN IONISATION POTENTIAL =     10.83 eV
          MOLECULAR POINT GROUP   = CS    0.100000
          MOLECULAR WEIGHT        =      81.077
          COMPUTATION TIME        =       2.27     seconds

          FINAL GEOMETRY OBTAINED                                 CHARGE
 AM1 RHF SINGLET T=AUTO CHN OPTIL OPTIR GRAD
 Triple Wammy (C3H3N3 -> 3HCN)
 -----
  N     0.000000  0    0.000000  0    0.000000  0    0   0   0   -0.1780
  C     1.592806  1    0.000000  0    0.000000  0    1   0   0   -0.0353
  N     1.269126  1  124.934308  1    0.000000  0    2   1   0   -0.1901
  C     1.554897  1  114.565384  1   -0.001481  1    3   2   1    0.0026
  N     1.270917  1  122.673341  1    0.001664  1    4   3   2   -0.1991
  C     1.292221  1  112.119871  1    0.000297  1    1   2   3   -0.0312
  H     1.096199  1   99.034619  1 -180.000106  1    2   1   6    0.2112
  H     1.094510  1  102.025095  1 -179.998304  1    4   3   2    0.2157
  H     1.113434  1  131.721712  1 -180.001975  1    6   1   2    0.2042
  0     0.000000  0    0.000000  0    0.000000  0    0   0   0
 Timestamp: 2004-02-12-14-36-51-0000000481-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: C3H3N3
 Triple Wammy (C3H3N3 -> 3HCN)
 -----

                                                              
     SCF FIELD WAS ACHIEVED

          FINAL HEAT OF FORMATION =     137.633081 kcal
                                  =     575.994444 kJ   
          ELECTRONIC ENERGY       =   -3432.723084 eV
          CORE-CORE REPULSION     =    2391.122291 eV
          TOTAL ENERGY            =   -1041.600793 eV
          GRADIENT NORM           =     124.161636
          RMS GRADIENT NORM       =      27.094290
          FOR REACTION COORDINATE =       1.104836 angstroms or radians
          DIPOLE                  =       1.302235 debyes
          NO. OF FILLED LEVELS    =      15 (OCC = 2)
          KOOPMAN IONISATION POTENTIAL =      9.63 eV
          MOLECULAR POINT GROUP   = CS    0.100000
          MOLECULAR WEIGHT        =      81.077
          COMPUTATION TIME        =       2.29     seconds

          FINAL GEOMETRY OBTAINED                                 CHARGE
 AM1 RHF SINGLET T=AUTO CHN OPTIL OPTIR GRAD
 Triple Wammy (C3H3N3 -> 3HCN)
 -----
  N     0.000000  0    0.000000  0    0.000000  0    0   0   0   -0.2487
  C     1.932867  1    0.000000  0    0.000000  0    1   0   0   -0.0046
  N     1.223045  1  114.181364  1    0.000000  0    2   1   0   -0.2012
  C     1.550551  1  122.206152  1   -0.004173  1    3   2   1    0.0184
  N     1.254330  1  125.233717  1   -0.005161  1    4   3   2   -0.1442
  C     1.252310  1  108.483031  1   -0.010914  1    1   2   3   -0.0763
  H     1.079240  1   87.676830  1 -179.997514  1    2   1   6    0.2646
  H     1.098666  1   97.778625  1 -179.999483  1    4   3   2    0.2207
  H     1.122829  1  120.426526  1 -179.998180  1    6   1   2    0.1714
  0     0.000000  0    0.000000  0    0.000000  0    0   0   0
 Timestamp: 2004-02-12-14-36-51-0000000481-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: C3H3N3
 Triple Wammy (C3H3N3 -> 3HCN)
 -----


     SCF FIELD WAS ACHIEVED                                   

          FINAL HEAT OF FORMATION =     153.040479 kcal
                                  =     640.474406 kJ   
          ELECTRONIC ENERGY       =   -3395.306503 eV
          CORE-CORE REPULSION     =    2354.373825 eV
          TOTAL ENERGY            =   -1040.932678 eV
          GRADIENT NORM           =      46.622150
          RMS GRADIENT NORM       =      10.173787
          FOR REACTION COORDINATE =       1.606751 angstroms or radians
          DIPOLE                  =       3.192016 debyes
          NO. OF FILLED LEVELS    =      15 (OCC = 2)
          KOOPMAN IONISATION POTENTIAL =      8.56 eV
          MOLECULAR POINT GROUP   = CS    0.100000
          MOLECULAR WEIGHT        =      81.077
          COMPUTATION TIME        =       2.30     seconds

          FINAL GEOMETRY OBTAINED                                 CHARGE
 AM1 RHF SINGLET T=AUTO CHN OPTIL OPTIR GRAD
 Triple Wammy (C3H3N3 -> 3HCN)
 -----
  N     0.000000  0    0.000000  0    0.000000  0    0   0   0   -0.3399
  C     2.258570  1    0.000000  0    0.000000  0    1   0   0    0.0736
  N     1.205278  1  103.917180  1    0.000000  0    2   1   0   -0.1637
  C     1.461607  1  131.629234  1    0.376611  1    3   2   1    0.0189
  N     1.266611  1  125.719640  1    0.139411  1    4   3   2   -0.1603
  C     1.251752  1  108.444068  1    0.251908  1    1   2   3   -0.0886
  H     1.075748  1   89.008847  1 -180.018826  1    2   1   6    0.2949
  H     1.107517  1  108.068107  1 -179.978479  1    4   3   2    0.2055
  H     1.110901  1  132.600853  1 -179.971248  1    6   1   2    0.1597
  0     0.000000  0    0.000000  0    0.000000  0    0   0   0
 Timestamp: 2004-02-12-14-36-51-0000000481-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: C3H3N3
 Triple Wammy (C3H3N3 -> 3HCN)
 -----

     GEOMETRY OPTIMISED : GRADIENT NORM MINIMISED
     SCF FIELD WAS ACHIEVED                                   

          FINAL HEAT OF FORMATION =     163.801607 kcal   
                                  =     685.509724 kJ
          ELECTRONIC ENERGY       =   -3321.113770 eV
          CORE-CORE REPULSION     =    2280.647730 eV
          TOTAL ENERGY            =   -1040.466041 eV   
          GRADIENT NORM           =       0.283904
          RMS GRADIENT NORM       =       0.061953
          UNSTABLE MODE(S)        =       1 ( ACCURATE  )
          FOR REACTION COORDINATE =       2.090535 angstroms or radians  3
          DIPOLE                  =       3.303301 debyes
          NO. OF FILLED LEVELS    =      15 (OCC = 2)
          KOOPMAN IONISATION POTENTIAL =      8.76 eV
          MOLECULAR POINT GROUP   = CS    0.100000
          MOLECULAR WEIGHT        =      81.077
          COMPUTATION TIME        =       2.31     seconds

          FINAL GEOMETRY OBTAINED                                 CHARGE
 AM1 RHF SINGLET T=AUTO CHN OPTIL OPTIR GRAD
 Triple Wammy (C3H3N3 -> 3HCN)
 -----
  N     0.000000  0    0.000000  0    0.000000  0    0   0   0   -0.3431
  C     2.555753  1    0.000000  0    0.000000  0    1   0   0    0.0219
  N     1.171087  1   98.113152  1    0.000000  0    2   1   0   -0.1332
  C     1.660472  1  137.162259  1    0.010053  1    3   2   1    0.0155
  N     1.210657  1  121.258250  1   -0.009880  1    4   3   2   -0.1840
  C     1.203542  1  111.101261  1   -0.005906  1    1   2   3   -0.0524
  H     1.075210  1   83.476247  1 -180.005223  1    2   1   6    0.2813
  H     1.095035  1   97.686595  1 -180.009851  1    4   3   2    0.2180
  H     1.096217  1  142.385095  1 -179.997545  1    6   1   2    0.1760
  0     0.000000  0    0.000000  0    0.000000  0    0   0   0
 Timestamp: 2004-02-12-14-36-51-0000000481-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: C3H3N3
 Triple Wammy (C3H3N3 -> 3HCN)
 -----

                                                              
     SCF FIELD WAS ACHIEVED

          FINAL HEAT OF FORMATION =     133.715080 kcal
                                  =     559.597609 kJ   
          ELECTRONIC ENERGY       =   -3186.000732 eV
          CORE-CORE REPULSION     =    2144.230042 eV
          TOTAL ENERGY            =   -1041.770690 eV
          GRADIENT NORM           =     227.278217
          RMS GRADIENT NORM       =      49.596173
          FOR REACTION COORDINATE =       2.717949 angstroms or radians
          DIPOLE                  =       0.504861 debyes
          NO. OF FILLED LEVELS    =      15 (OCC = 2)
          KOOPMAN IONISATION POTENTIAL =     11.64 eV
          MOLECULAR POINT GROUP   = CS    0.100000
          MOLECULAR WEIGHT        =      81.077
          COMPUTATION TIME        =       2.32     seconds

          FINAL GEOMETRY OBTAINED                                 CHARGE
 AM1 RHF SINGLET T=AUTO CHN OPTIL OPTIR GRAD
 Triple Wammy (C3H3N3 -> 3HCN)
 -----
  N     0.000000  0    0.000000  0    0.000000  0    0   0   0   -0.1365
  C     2.424014  1    0.000000  0    0.000000  0    1   0   0   -0.1091
  N     1.157875  1  109.428686  1    0.000000  0    2   1   0   -0.1230
  C     2.121844  1  134.576580  1   -0.031376  1    3   2   1   -0.0970
  N     1.146499  1  114.484811  1   -0.005829  1    4   3   2   -0.1502
  C     1.112169  1  123.575981  1   -0.006072  1    1   2   3   -0.0946
  H     1.071043  1   83.290633  1 -179.997743  1    2   1   6    0.2478
  H     1.077335  1   89.740781  1 -179.999500  1    4   3   2    0.2323
  H     1.066020  1  151.952422  1 -180.001503  1    6   1   2    0.2302
  0     0.000000  0    0.000000  0    0.000000  0    0   0   0
 Timestamp: 2004-02-12-14-36-51-0000000481-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: C3H3N3
 Triple Wammy (C3H3N3 -> 3HCN)
 -----


     SCF FIELD WAS ACHIEVED                                   

          FINAL HEAT OF FORMATION =     145.723383 kcal   
                                  =     609.852358 kJ
          ELECTRONIC ENERGY       =   -3207.122661 eV
          CORE-CORE REPULSION     =    2165.872690 eV
          TOTAL ENERGY            =   -1041.249971 eV   
          GRADIENT NORM           =      97.631215
          RMS GRADIENT NORM       =      21.304878
          FOR REACTION COORDINATE =       3.243888 angstroms or radians
          DIPOLE                  =       1.088643 debyes
          NO. OF FILLED LEVELS    =      15 (OCC = 2)
          KOOPMAN IONISATION POTENTIAL =     10.80 eV
          MOLECULAR POINT GROUP   = CS    0.100000
          MOLECULAR WEIGHT        =      81.077
          COMPUTATION TIME        =       2.33     seconds

          FINAL GEOMETRY OBTAINED                                 CHARGE
 AM1 RHF SINGLET T=AUTO CHN OPTIL OPTIR GRAD
 Triple Wammy (C3H3N3 -> 3HCN)
 -----
  N     0.000000  0    0.000000  0    0.000000  0    0   0   0   -0.1280
  C     2.025270  1    0.000000  0    0.000000  0    1   0   0   -0.0761
  N     1.180956  1  117.060176  1    0.000000  0    2   1   0   -0.1732
  C     2.164925  1  126.882610  1   -0.025568  1    3   2   1   -0.0950
  N     1.169402  1  112.150821  1   -0.002728  1    4   3   2   -0.1597
  C     1.172216  1  135.329276  1    0.002104  1    1   2   3   -0.0839
  H     1.080328  1   93.313606  1 -179.999060  1    2   1   6    0.2315
  H     1.076811  1   91.052654  1 -180.000926  1    4   3   2    0.2372
  H     1.080289  1  151.211257  1 -179.997268  1    6   1   2    0.2472
  0     0.000000  0    0.000000  0    0.000000  0    0   0   0
 Timestamp: 2004-02-12-14-36-51-0000000481-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: C3H3N3
 Triple Wammy (C3H3N3 -> 3HCN)
 -----

                                                              
     SCF FIELD WAS ACHIEVED

          FINAL HEAT OF FORMATION =     150.743852 kcal
                                  =     630.863022 kJ   
          ELECTRONIC ENERGY       =   -3092.469707 eV
          CORE-CORE REPULSION     =    2051.437440 eV
          TOTAL ENERGY            =   -1041.032267 eV
          GRADIENT NORM           =     374.237146
          RMS GRADIENT NORM       =      81.665241
          FOR REACTION COORDINATE =       3.894439 angstroms or radians
          DIPOLE                  =       0.281606 debyes
          NO. OF FILLED LEVELS    =      15 (OCC = 2)
          KOOPMAN IONISATION POTENTIAL =     11.52 eV
          MOLECULAR POINT GROUP   = CS    0.100000
          MOLECULAR WEIGHT        =      81.077
          COMPUTATION TIME        =       2.34     seconds

          FINAL GEOMETRY OBTAINED                                 CHARGE
 AM1 RHF SINGLET T=AUTO CHN OPTIL OPTIR GRAD
 Triple Wammy (C3H3N3 -> 3HCN)
 -----
  N     0.000000  0    0.000000  0    0.000000  0    0   0   0   -0.1252
  C     2.413122  1    0.000000  0    0.000000  0    1   0   0   -0.1331
  N     1.241032  1  122.200646  1    0.000000  0    2   1   0   -0.1255
  C     2.354850  1  122.757336  1   -0.001749  1    3   2   1   -0.1272
  N     1.240975  1  117.618013  1    0.001742  1    4   3   2   -0.1338
  C     1.241081  1  111.790729  1    0.000594  1    1   2   3   -0.1337
  H     1.085953  1   84.273684  1 -179.999611  1    2   1   6    0.2604
  H     1.085751  1   87.458811  1 -179.998172  1    4   3   2    0.2564
  H     1.086190  1  154.427982  1 -179.999268  1    6   1   2    0.2617
  0     0.000000  0    0.000000  0    0.000000  0    0   0   0
 Timestamp: 2004-02-12-14-36-51-0000000481-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: C3H3N3
 Triple Wammy (C3H3N3 -> 3HCN)
 -----


     SCF FIELD WAS ACHIEVED                                   

          FINAL HEAT OF FORMATION =     103.708990 kcal   
                                  =     434.022124 kJ
          ELECTRONIC ENERGY       =   -3010.683065 eV
          CORE-CORE REPULSION     =    1967.611213 eV
          TOTAL ENERGY            =   -1043.071852 eV   
          GRADIENT NORM           =     213.584881
          RMS GRADIENT NORM       =      46.608042
          FOR REACTION COORDINATE =       4.510298 angstroms or radians
          DIPOLE                  =       0.378436 debyes
          NO. OF FILLED LEVELS    =      15 (OCC = 2)
          KOOPMAN IONISATION POTENTIAL =     12.57 eV
          MOLECULAR POINT GROUP   = CS    0.100000
          MOLECULAR WEIGHT        =      81.077
          COMPUTATION TIME        =       2.35     seconds

          FINAL GEOMETRY OBTAINED                                 CHARGE
 AM1 RHF SINGLET T=AUTO CHN OPTIL OPTIR GRAD
 Triple Wammy (C3H3N3 -> 3HCN)
 -----
  N     0.000000  0    0.000000  0    0.000000  0    0   0   0   -0.1080
  C     2.765675  1    0.000000  0    0.000000  0    1   0   0   -0.1508
  N     1.201069  1  115.767524  1    0.000000  0    2   1   0   -0.1068
  C     2.688431  1  129.344630  1   -0.001701  1    3   2   1   -0.1442
  N     1.200981  1  111.644417  1    0.001712  1    4   3   2   -0.1117
  C     1.201108  1  115.995672  1    0.000482  1    1   2   3   -0.1511
  H     1.078869  1   75.967641  1 -179.999652  1    2   1   6    0.2579
  H     1.078642  1   79.873121  1 -179.998255  1    4   3   2    0.2553
  H     1.079304  1  168.243842  1 -179.999291  1    6   1   2    0.2595
  0     0.000000  0    0.000000  0    0.000000  0    0   0   0
 Timestamp: 2004-02-12-14-36-51-0000000481-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: C3H3N3
 Triple Wammy (C3H3N3 -> 3HCN)
 -----

     GEOMETRY OPTIMISED : GRADIENT NORM MINIMISED             
     SCF FIELD WAS ACHIEVED

          FINAL HEAT OF FORMATION =      89.265898 kcal
                                  =     373.577782 kJ   
          ELECTRONIC ENERGY       =   -2941.573071 eV
          CORE-CORE REPULSION     =    1897.874919 eV
          TOTAL ENERGY            =   -1043.698151 eV
          GRADIENT NORM           =       0.456777
          RMS GRADIENT NORM       =       0.099677
          UNSTABLE MODE(S)        =       0 ( ESTIMATE  )
          FOR REACTION COORDINATE =       5.107016 angstroms or radians  4
          DIPOLE                  =       0.457058 debyes
          NO. OF FILLED LEVELS    =      15 (OCC = 2)
          KOOPMAN IONISATION POTENTIAL =     13.40 eV
          MOLECULAR POINT GROUP   = CS    0.100000
          MOLECULAR WEIGHT        =      81.077
          COMPUTATION TIME        =       2.36     seconds

          FINAL GEOMETRY OBTAINED                                 CHARGE
 AM1 RHF SINGLET T=AUTO CHN OPTIL OPTIR GRAD
 Triple Wammy (C3H3N3 -> 3HCN)
 -----
  N     0.000000  0    0.000000  0    0.000000  0    0   0   0   -0.0957
  C     3.116091  1    0.000000  0    0.000000  0    1   0   0   -0.1568
  N     1.160312  1  113.277353  1    0.000000  0    2   1   0   -0.0952
  C     3.019537  1  133.112730  1   -0.001623  1    3   2   1   -0.1518
  N     1.160201  1  108.123913  1    0.001695  1    4   3   2   -0.0983
  C     1.160360  1  116.426477  1    0.000377  1    1   2   3   -0.1581
  H     1.071079  1   65.675281  1 -179.999637  1    2   1   6    0.2520
  H     1.070797  1   70.556676  1 -179.998317  1    4   3   2    0.2501
  H     1.071625  1  181.020811  1 -179.999282  1    6   1   2    0.2538
  0     0.000000  0    0.000000  0    0.000000  0    0   0   0
1

The first geometry corresponds to left end point geometry.

2

The field "FOR REACTION COORDINATE" specifies the position along the reaction coordinate of the geometry. The left geometry corresponds to a reaction coordinate value of 0.000.

3

This geometry corresponds to the transition state and is identified as having 1 accurate unstable mode.

4

The final geometry corresponds to the right end point geometry. It is located at 5.107 along the reaction coordinate.

Output File (chn_methods/chn21.out) :

 Timestamp: 2004-02-12-14-36-51-0000000481-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)
 *
 *  CHN      - LOCATE LIMITANT TRANSITION STATE BY "CHN"
 *  T=AUTO   - AUTOMATIC DETERMINATION OF ALLOWED TIME
 *  GRADIENTS- ALL GRADIENTS TO BE PRINTED
 *  SINGLET  - IS THE REQUIRED SPIN MULTIPLICITY
 *  AM1      - THE AM1 HAMILTONIAN TO BE USED
 *******************************************************************************
 AM1 RHF SINGLET T=AUTO CHN OPTIL OPTIR GRAD
 Triple Wammy (C3H3N3 -> 3HCN)
 -----
    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     N
      2     C          1.36401 *                                   1
      3     N          1.36410 *      125.72821 *                  2   1
      4     C          1.36401 *      114.27223 *    -0.00201 *    3   2   1
      5     N          1.36410 *      125.72643 *     0.00178 *    4   3   2
      6     C          1.36410 *      114.27245 *     0.00090 *    1   2   3
      7     H          1.11003 *      117.13708 *  -179.99971 *    2   1   6
      8     H          1.11002 *      117.13890 *  -179.99801 *    4   3   2
      9     H          1.11002 *      117.13597 *  -179.99933 *    6   1   2

   MOLECULAR POINT GROUP            SYMMETRY CRITERIA
            D3H                         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)
  N  (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985)

          CARTESIAN COORDINATES
    NO.       ATOM         X         Y         Z
     1         7        0.0000    0.0000    0.0000
     2         6        1.3640    0.0000    0.0000
     3         7        2.1606    1.1074    0.0000
     4         6        1.4786    2.2886   -0.0000
     5         7        0.1213    2.4248   -0.0001
     6         6       -0.5607    1.2435   -0.0000
     7         1        1.8703   -0.9878    0.0000
     8         1        2.0809    3.2210   -0.0001
     9         1       -1.6694    1.2990   -0.0000

 STANDARD DEVIATION ON ENERGY   (KCAL)       0.00000014508
 STANDARD DEVIATION ON GRADIENT (KCAL/A,RD,RD)  0.00003322 0.00005735 0.00003679

 TRANSITION STATE BY "CHN" STARTED WITH   2 NODES IN  21 VARIABLES.   1
 VERSION 1.3 (DECEMBER 2002) ALLOCATES 250 NODES
 CYCLE LIMIT=   41   TOLERANCE ON RMS GRADIENT= 0.10000
 TIME ALLOWED=      1.00 HOURS.
 "OPTIR" REQUEST: OPTIMIZE RIGHT ENDING NODE...  2
                  ENERGY:   89.27     RMS-G:   0.100
 MAXIMUM LENGTH OF A LINK:  1.026 angstroms OR radians.
 STATIONARY POINTS UNLIKELY SEPARATED IF LESS THAN  0.466 FROM EACH OTHER.

 END OF THE   "CHN"   PROCEDURE.
 -------------------------------
 ENERGY PROFILE OF THE REACTION PATH, REFERENCED TO    58.008 kcal/mol.  3
 GLOSSARY
      EUCLIDEAN DISTANCE BETWEEN CONSECUTIVE NODES: "STRAIGHT".
      TYPE OF STATIONARY POINT COLLECTED:
          "RE"... REACTANTS (OR "L" IF NON STATIONARY LEFT END-POINT)
          " I"... STABLE INTERMEDIATE
          "TS"... TRANSITION STATE
          " X"... STATIONARY POINT OF UNKNOWN INDEX
          " i"... STATIONARY POINT OF INDEX i (OR "HU" IF GREATER THAN 20)
          "PO"... PRODUCTS (OR "R" IF NON STATIONARY RIGHT END-POINT)
 NODE:        1       2       3       4       5       6       7       8
 TYPE:       RE . . . * . . . * . . . * . . .TS . . .I? . . . * . . .TS?. . .
 ENERGY       0.00   36.42   79.63   95.03  105.79   75.71   87.72   92.74
 RMS-G:    1.7D-02 3.1D+01 2.7D+01 1.0D+01 6.2D-02 5.0D+01 2.1D+01 8.2D+01
 STRAIGHT:       0.59    0.51    0.50    0.48    0.63    0.53    0.65    0.62
 NODE:        9      10
 TYPE:        * . . .PO
 ENERGY      45.70   31.26
 RMS-G:    4.7D+01 1.0D-01
 STRAIGHT:       0.60
 "CHN" CONVERGED AT CYCLE   3 AFTER  416 CALCULATIONS OF THE ENERGY.

 AM1 RHF SINGLET T=AUTO CHN OPTIL OPTIR GRAD
 Triple Wammy (C3H3N3 -> 3HCN)
 -----

     GEOMETRY OPTIMISED : GRADIENT NORM MINIMISED             
     SCF FIELD WAS ACHIEVED

                                AM1    CALCULATION
                                                            VERSION 8.13

                                                       Feb-12-2004

          FINAL HEAT OF FORMATION =     163.801607 kcal   4
                                  =     685.509724 kJ
          ELECTRONIC ENERGY       =   -3321.113770 eV
          CORE-CORE REPULSION     =    2280.647730 eV
          TOTAL ENERGY            =   -1040.466041 eV
          GRADIENT NORM           =       0.283904
          RMS GRADIENT NORM       =       0.061953
          UNSTABLE MODE(S)        =       1 ( ACCURATE  )
          IONISATION POTENTIAL    =       8.764134 eV
          MOLECULAR POINT GROUP   = CS    0.100000
          NO. OF FILLED LEVELS    =      15 (OCC = 2)
          MOLECULAR WEIGHT        =      81.077
          SCF CALCULATIONS        =     427
          COMPUTATION TIME        =       2.37     seconds

       FINAL  POINT  AND  DERIVATIVES
   PARAMETER     ATOM    TYPE            VALUE       GRADIENT
      1          2 C     BOND            2.555753     0.090866  kcal/angstrom
      2          3 N     BOND            1.171087    -0.083500  kcal/angstrom
      3          3 N     ANGLE          98.113152    -0.045516  kcal/radian
      4          4 C     BOND            1.660472    -0.018888  kcal/angstrom
      5          4 C     ANGLE         137.162259    -0.065848  kcal/radian
      6          4 C     DIHEDRAL        0.010053     0.001078  kcal/radian  
      7          5 N     BOND            1.210657     0.033004  kcal/angstrom
      8          5 N     ANGLE         121.258250    -0.050778  kcal/radian  
      9          5 N     DIHEDRAL       -0.009880     0.000006  kcal/radian
     10          6 C     BOND            1.203542     0.215213  kcal/angstrom
     11          6 C     ANGLE         111.101261    -0.028437  kcal/radian
     12          6 C     DIHEDRAL       -0.005906     0.000111  kcal/radian  
     13          7 H     BOND            1.075210     0.003946  kcal/angstrom
     14          7 H     ANGLE          83.476247    -0.004135  kcal/radian  
     15          7 H     DIHEDRAL     -180.005223    -0.000039  kcal/radian
     16          8 H     BOND            1.095035    -0.004471  kcal/angstrom
     17          8 H     ANGLE          97.686595    -0.011851  kcal/radian
     18          8 H     DIHEDRAL     -180.009851    -0.000327  kcal/radian  
     19          9 H     BOND            1.096217     0.037050  kcal/angstrom
     20          9 H     ANGLE         142.385095    -0.079042  kcal/radian  
     21          9 H     DIHEDRAL     -179.997545     0.000583  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     N 
      2     C          2.55575 *                                   1
      3     N          1.17109 *       98.11315 *                  2   1
      4     C          1.66047 *      137.16226 *     0.01005 *    3   2   1
      5     N          1.21066 *      121.25825 *    -0.00988 *    4   3   2
      6     C          1.20354 *      111.10126 *    -0.00591 *    1   2   3
      7     H          1.07521 *       83.47625 *  -180.00522 *    2   1   6
      8     H          1.09504 *       97.68660 *  -180.00985 *    4   3   2
      9     H          1.09622 *      142.38509 *  -179.99755 *    6   1   2

   MOLECULAR POINT GROUP            SYMMETRY CRITERIA
            CS                          0.10000000

          RHF  EIGENVALUES
 -38.39892 -35.99394 -33.83250 -24.39980 -22.11343 -19.55504 -17.21704 -15.04310
 -14.94083 -14.27643 -13.24860 -13.16865 -11.43207 -11.34296  -8.76413  -0.49127
   0.49939   1.59982   1.82354   2.55193   3.05520   3.08415   4.37631   4.93977
   5.82564   6.55548   7.74393

          NET ATOMIC CHARGES AND DIPOLE CONTRIBUTIONS
         ATOM NO.   TYPE          CHARGE        ATOM ELECTRON DENSITY
           1         N           -0.3431          5.3431
           2         C            0.0219          3.9781
           3         N           -0.1332          5.1332
           4         C            0.0155          3.9845
           5         N           -0.1840          5.1840
           6         C           -0.0524          4.0524
           7         H            0.2813          0.7187
           8         H            0.2180          0.7820
           9         H            0.1760          0.8240

 DIPOLE (DEBYE)   X         Y         Z       TOTAL
 POINT-CHG.     3.105     0.401     0.000     3.131
 HYBRID         0.163     0.082     0.000     0.182
 SUM            3.268     0.483     0.000     3.303


          CARTESIAN COORDINATES
    NO.       ATOM               X         Y         Z
     1        N                   0.0000    0.0000    0.0000
     2        C                   2.5558    0.0000    0.0000
     3        N                   2.7210    1.1594    0.0000
     4        C                   1.7752    2.5241    0.0002
     5        N                   0.5667    2.4509    0.0002
     6        C                  -0.4333    1.1228    0.0001
     7        H                   2.4336   -1.0682   -0.0000
     8        H                   2.5837    3.2626    0.0003
     9        H                  -1.3701    1.6921    0.0002

          ATOMIC ORBITAL ELECTRON POPULATIONS
   1.83569   1.40083   1.09791   1.00869   1.33239   0.82568   0.96217   0.85790
   1.72637   1.17550   1.09063   1.14070   1.30949   0.89855   0.83808   0.93835
   1.76693   1.07249   1.27898   1.06561   1.29730   0.90882   0.85755   0.98875
   0.71865   0.78195   0.82405

     FULL COMPUTATION TIME :      2.37 SECONDS
 Process Info: 2.5u 0.3s 0:03 94%
1

Information on the criteria that chain will use is listed in this section of the output.

2

Optimization of left and/or right end points is handled here. OPTILR requests that both endpoints are to be optimized, however, only the right geometry is optimized because the left geometry is already a minima.

3

A summary of the entire chain is presented here in the output file. Each node on the chain is characterized by its heat of formation (relative to the left end point), the RMS gradient, and a characterization of the type of geometry. This is useful for getting a quick overview of the entire chain.

4

The heat of formation and other properties of the transition state.