Wall clock time and date at job start Sat Apr 11 2020 06:10:32 AMSOL-version 7.1 by G. D. Hawkins, D. J. Giesen, G. C. Lynch, C. C. Chambers, I. Rossi, J. W. Storer, J. Li, J. D. Thompson, P. Winget, B. J. Lynch, D. Rinaldi, D. A. Liotard, C. J. Cramer, and D. G. Truhlar Copyright 2004 by Regents of the University of Minnesota. All rights reserved. Notice: recipients of this code are asked to comply with the user agreement in Section 1 of the documentation file. ******************************************************************************* * 1SCF - SCF CALCULATION WITHOUT GEOMETRY OPTIMIZATION * - USE EF ROUTINE FOR MINIMUM SEARCH (DEFAULT) * GEO-OK - OVERRIDE INTERATOMIC DISTANCE CHECK * TLIMIT= - A TIME OF 15. SECONDS REQUESTED * CHARGE - CHARGE ON SYSTEM= -1 * AM1 - THE AM1 HAMILTONIAN TO BE USED * DEV - DEVELOPER OPTIONS ARE ALLOWED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS USER-SPECIFIED * DIELEC - THE SOLVENT DIELECTRIC CONSTANT IS 2.06 * IOFR - THE SOLVENT INDEX OF REFRACTION IS 1.4345 * ALPHA - THE SOLVENT ALPHA IS 0.00 * BETA - THE SOLVENT BETA IS 0.00 * GAMMA - THE SOLVENT MACROSCOPIC SURFACE TENSION IS * 38.93 CAL MOL^-1 ANGSTROM^-2 * FACARB - THE FRACTION OF AROMATIC CARBONS IS 0.00 * FEHALO - THE FRACTION OF ELECTRONEGATIVE HALOGENS IS 0.00 ******************************************************************************* Atom NO. Chemical Bond length Bond angle Dihedral angle number (k) symbol (angstroms) (degrees) (degrees) (I) NA:I NB:NA:I NC:NB:NA:I NA NB NC 1 1 C 2 2 C 1.53000 * 1 3 3 H 1.08995 * 109.32844 * 2 1 4 4 C 1.47101 * 109.32637 * 119.65002 * 2 1 3 5 5 C 1.52583 * 114.31793 * 183.25574 * 4 2 1 6 6 C 1.50889 * 109.19268 * 274.72468 * 5 4 2 7 7 C 1.53934 * 110.09475 * 91.90490 * 6 5 4 8 8 N 1.47611 * 112.14682 * 319.43928 * 7 6 5 9 9 C 1.34777 * 118.64482 * 137.84033 * 8 7 6 10 10 O 1.21280 * 119.99858 * 175.05372 * 9 8 7 11 11 C 1.50693 * 119.99772 * 355.05563 * 9 8 7 12 12 H 1.09002 * 109.47863 * 41.17103 * 11 9 8 13 13 C 1.50702 * 109.47301 * 281.16671 * 11 9 8 14 14 H 1.07999 * 119.99719 * 120.00692 * 13 11 9 15 15 C 1.37871 * 119.99789 * 300.00047 * 13 11 9 16 16 N 1.31511 * 120.00458 * 0.02562 * 15 13 11 17 17 Si 1.86805 * 119.99792 * 179.97438 * 15 13 11 18 18 H 1.48491 * 109.47207 * 0.02562 * 17 15 13 19 19 H 1.48504 * 109.47087 * 120.00256 * 17 15 13 20 20 H 1.48501 * 109.46929 * 240.00287 * 17 15 13 21 21 N 1.46510 * 109.47068 * 161.16581 * 11 9 8 22 22 C 1.34770 * 120.00248 * 204.99999 * 21 11 9 23 23 O 1.21507 * 119.99897 * 0.02562 * 22 21 11 24 24 O 1.34635 * 120.00117 * 179.97438 * 22 21 11 25 25 C 1.45197 * 117.00311 * 179.97438 * 24 22 21 26 26 C 1.52999 * 109.47043 * 60.00363 * 25 24 22 27 27 C 1.52996 * 109.47361 * 180.02562 * 25 24 22 28 28 C 1.53001 * 109.47124 * 300.00231 * 25 24 22 29 29 C 1.44584 * 122.71017 * 317.86152 * 8 7 6 30 30 H 1.09002 * 109.47148 * 180.02562 * 1 2 3 31 31 H 1.09005 * 109.47196 * 60.00233 * 1 2 3 32 32 H 1.08997 * 109.47569 * 300.00846 * 1 2 3 33 33 H 1.08998 * 108.51124 * 304.32277 * 4 2 1 34 34 H 1.08998 * 108.51057 * 61.80689 * 4 2 1 35 35 H 1.09001 * 109.55215 * 154.82133 * 5 4 2 36 36 H 1.08995 * 109.60823 * 34.65800 * 5 4 2 37 37 H 1.09001 * 109.36629 * 331.70980 * 6 5 4 38 38 H 1.08994 * 109.26293 * 212.03521 * 6 5 4 39 39 H 1.09001 * 108.95159 * 198.75135 * 7 6 5 40 40 H 1.09000 * 108.87996 * 80.07244 * 7 6 5 41 41 H 0.97002 * 120.00733 * 179.97438 * 16 15 13 42 42 H 0.96999 * 119.99666 * 24.99809 * 21 11 9 43 43 H 1.08995 * 109.47151 * 60.00078 * 26 25 24 44 44 H 1.09001 * 109.47248 * 180.02562 * 26 25 24 45 45 H 1.09000 * 109.47210 * 299.99817 * 26 25 24 46 46 H 1.08997 * 109.47370 * 59.99855 * 27 25 24 47 47 H 1.09001 * 109.47140 * 180.02562 * 27 25 24 48 48 H 1.09005 * 109.47116 * 299.99878 * 27 25 24 49 49 H 1.09000 * 109.47119 * 60.00189 * 28 25 24 50 50 H 1.09001 * 109.47140 * 179.97438 * 28 25 24 51 51 H 1.09001 * 109.47482 * 299.99976 * 28 25 24 52 52 H 1.09005 * 109.44848 * 330.67560 * 29 8 7 53 53 H 1.08999 * 109.42145 * 210.74528 * 29 8 7 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 6 0.0000 0.0000 0.0000 2 6 1.5300 0.0000 0.0000 3 1 1.8908 1.0285 0.0000 4 6 2.0168 -0.6867 1.2064 5 6 3.5348 -0.6841 1.3614 6 6 4.1145 -1.8421 0.5870 7 6 4.4799 -1.3942 -0.8397 8 7 3.4625 -0.4946 -1.4182 9 6 3.8742 0.5844 -2.1130 10 8 3.0630 1.2898 -2.6744 11 6 5.3425 0.9141 -2.1923 12 1 5.9141 -0.0035 -2.3316 13 6 5.7759 1.5871 -0.9155 14 1 6.5465 1.1407 -0.3045 15 6 5.1888 2.7726 -0.5274 16 7 4.2501 3.3160 -1.2712 17 14 5.7255 3.6064 1.0557 18 1 6.7889 2.7983 1.7048 19 1 6.2517 4.9606 0.7482 20 1 4.5630 3.7234 1.9723 21 7 5.5805 1.8140 -3.3238 22 6 6.7939 1.8546 -3.9089 23 8 7.6903 1.1445 -3.4984 24 8 7.0124 2.6811 -4.9490 25 6 8.3432 2.6727 -5.5294 26 6 8.6657 1.2688 -6.0453 27 6 8.4000 3.6684 -6.6897 28 6 9.3667 3.0723 -4.4646 29 6 2.0426 -0.7230 -1.2699 30 1 -0.3633 -1.0277 0.0005 31 1 -0.3634 0.5138 -0.8900 32 1 -0.3634 0.5139 0.8899 33 1 1.5814 -0.2018 2.0801 34 1 1.6706 -1.7199 1.1799 35 1 3.7939 -0.7853 2.4153 36 1 3.9403 0.2510 0.9753 37 1 3.3808 -2.6467 0.5366 38 1 5.0102 -2.2011 1.0937 39 1 4.5748 -2.2755 -1.4740 40 1 5.4373 -0.8739 -0.8117 41 1 3.8367 4.1499 -0.9980 42 1 4.8647 2.3806 -3.6517 43 1 7.9366 0.9842 -6.8039 44 1 9.6650 1.2623 -6.4807 45 1 8.6255 0.5597 -5.2185 46 1 8.1704 4.6684 -6.3219 47 1 9.3989 3.6616 -7.1257 48 1 7.6708 3.3840 -7.4485 49 1 9.3264 2.3632 -3.6378 50 1 10.3658 3.0655 -4.9003 51 1 9.1370 4.0725 -4.0971 52 1 1.8546 -1.7929 -1.1794 53 1 1.5198 -0.3353 -2.1443 RHF calculation, no. of doubly occupied orbitals= 66 REFERENCES FOR PARAMETERS IN GAS-PHASE HAMILTONIAN: 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) O: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) Si: (AM1): M.J.S.DEWAR, C. JIE, ORGANOMETALLICS, 6, 1486-1490 (1987). REFERENCE FOR CHARGE MODEL 2: J. Li, J. Xing, C. J. Cramer, and D. G. Truhlar, J. Chem. Phys. 111 (1999) 885. REFERENCE FOR THE PARAMETERIZATION OF THE SM5.42R SOLVATION MODEL: J. Li, T. Zhu, G. D. Hawkins, P. Winget, D. A. Liotard, C. J. Cramer, and D. G. Truhlar, Theor. Chem. Acc. 103 (1999) 9-63 P. Winget, J. D. Thompson C. J. Cramer,and D. G. Truhlar, J. Phys. Chem. B. submitted. CHARGE=-1 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=GENORG IOFR=1.4345 ALPHA=0.00 BETA=0.00 GAMMA=38.93 & DIELEC=2.06 FACARB=0.00 FEHALO=0.00 DEV ZINC001180778720.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:10:32 Heat of formation + Delta-G solvation = -128.375401 kcal Electronic energy + Delta-G solvation = -33011.652916 eV Core-core repulsion = 28883.123883 eV Total energy + Delta-G solvation = -4128.529034 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.67 seconds Orbital eigenvalues (eV) -39.91396 -39.47097 -37.25179 -36.16820 -34.06845 -33.76130 -33.38087 -32.52287 -31.81218 -28.24111 -27.68235 -27.08768 -26.98005 -25.56928 -23.92627 -23.49496 -21.45119 -20.49562 -19.80254 -19.17984 -18.22888 -17.45425 -16.74665 -15.98087 -15.64572 -15.50710 -15.18147 -14.74739 -14.57767 -14.21594 -14.04363 -13.88794 -13.77316 -13.42904 -13.24319 -12.93050 -12.86894 -12.54288 -12.20959 -12.15243 -11.99958 -11.84724 -11.79268 -11.51014 -11.49187 -11.33414 -11.19044 -11.12375 -11.01198 -10.77588 -10.74958 -10.68149 -10.45728 -10.16785 -10.12328 -10.04141 -9.98058 -9.91031 -9.65568 -9.16665 -8.86085 -8.35650 -7.71709 -7.63790 -6.16861 -4.33205 3.10490 3.22816 3.29430 3.32525 3.87079 3.97606 4.14381 4.31066 5.03563 5.05034 5.12147 5.14598 5.16458 5.26179 5.30787 5.35883 5.43842 5.48788 5.72046 5.74444 5.78240 5.83402 5.89010 5.96382 5.98515 6.03696 6.04601 6.09995 6.14021 6.18234 6.21382 6.24461 6.27199 6.34226 6.36440 6.44405 6.50780 6.59547 6.61036 6.68569 6.75503 6.80070 6.83549 6.98059 7.31134 7.56575 7.68522 7.75641 7.90547 8.33771 8.65519 8.88495 9.35568 9.48645 9.64496 10.82667 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.013746 B = 0.004028 C = 0.003681 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2036.520833 B = 6949.081359 C = 7604.310881 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.140 4.140 2 C -0.111 4.111 3 H 0.081 0.919 4 C -0.103 4.103 5 C -0.123 4.123 6 C -0.123 4.123 7 C 0.109 3.891 8 N -0.613 5.613 9 C 0.529 3.471 10 O -0.528 6.528 11 C 0.269 3.731 12 H 0.063 0.937 13 C -0.533 4.533 14 H 0.071 0.929 15 C 0.080 3.920 16 N -0.840 5.840 17 Si 0.889 3.111 18 H -0.269 1.269 19 H -0.283 1.283 20 H -0.282 1.282 21 N -0.664 5.664 22 C 0.645 3.355 23 O -0.591 6.591 24 O -0.375 6.375 25 C 0.137 3.863 26 C -0.180 4.180 27 C -0.139 4.139 28 C -0.181 4.181 29 C 0.133 3.867 30 H 0.048 0.952 31 H 0.055 0.945 32 H 0.049 0.951 33 H 0.047 0.953 34 H 0.049 0.951 35 H 0.052 0.948 36 H 0.088 0.912 37 H 0.055 0.945 38 H 0.068 0.932 39 H 0.047 0.953 40 H 0.099 0.901 41 H 0.265 0.735 42 H 0.406 0.594 43 H 0.054 0.946 44 H 0.060 0.940 45 H 0.090 0.910 46 H 0.063 0.937 47 H 0.072 0.928 48 H 0.062 0.938 49 H 0.093 0.907 50 H 0.059 0.941 51 H 0.056 0.944 52 H 0.059 0.941 53 H 0.075 0.925 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 0.340 -6.524 -1.855 6.791 Note: The Mulliken population analysis charges presented below were not used in the solvation calculation but are provided for completeness. The chosen solvation model uses CM2 partial charges for calculating solvation energies. Net atomic charges, atomic populations, and dipole contributions using Mulliken population analysis Atom NO. Type Charge No. of electrons 1 C -0.198 4.198 2 C -0.131 4.131 3 H 0.099 0.901 4 C -0.141 4.141 5 C -0.161 4.161 6 C -0.162 4.162 7 C -0.014 4.014 8 N -0.348 5.348 9 C 0.318 3.682 10 O -0.402 6.402 11 C 0.166 3.834 12 H 0.080 0.920 13 C -0.572 4.572 14 H 0.089 0.911 15 C -0.130 4.130 16 N -0.473 5.473 17 Si 0.716 3.284 18 H -0.194 1.194 19 H -0.209 1.209 20 H -0.208 1.208 21 N -0.321 5.321 22 C 0.397 3.603 23 O -0.483 6.483 24 O -0.290 6.290 25 C 0.099 3.901 26 C -0.237 4.237 27 C -0.196 4.196 28 C -0.238 4.238 29 C 0.009 3.991 30 H 0.067 0.933 31 H 0.074 0.926 32 H 0.068 0.932 33 H 0.066 0.934 34 H 0.068 0.932 35 H 0.071 0.929 36 H 0.106 0.894 37 H 0.074 0.926 38 H 0.086 0.914 39 H 0.066 0.934 40 H 0.117 0.883 41 H 0.075 0.925 42 H 0.242 0.758 43 H 0.073 0.927 44 H 0.079 0.921 45 H 0.109 0.891 46 H 0.082 0.918 47 H 0.091 0.909 48 H 0.081 0.919 49 H 0.111 0.889 50 H 0.078 0.922 51 H 0.075 0.925 52 H 0.077 0.923 53 H 0.094 0.906 Dipole moment (debyes) X Y Z Total from point charges 0.211 -6.330 -2.040 6.654 hybrid contribution -0.044 0.939 1.006 1.377 sum 0.167 -5.391 -1.033 5.491 Atomic orbital electron populations 1.21756 0.95570 1.00899 1.01543 1.20792 0.94883 1.01742 0.95647 0.90104 1.20451 0.96162 0.99840 0.97626 1.21115 0.95137 1.00800 0.99013 1.21681 1.00771 0.97935 0.95771 1.21955 0.93137 0.93262 0.93025 1.47461 1.05062 1.26849 1.55388 1.21196 0.92314 0.78144 0.76504 1.90543 1.56152 1.47566 1.45973 1.18372 0.89049 0.90376 0.85639 0.91962 1.21071 1.22524 1.07789 1.05768 0.91100 1.25093 0.94027 0.96966 0.96882 1.70037 1.22660 1.18080 1.36529 0.86576 0.78750 0.79726 0.83355 1.19361 1.20882 1.20823 1.45252 1.09693 1.44150 1.33004 1.18075 0.84473 0.79215 0.78524 1.90751 1.43423 1.46941 1.67171 1.86306 1.34627 1.61594 1.46490 1.21794 0.79848 0.95873 0.92571 1.22495 1.01014 0.97477 1.02756 1.21825 1.02099 0.98966 0.96718 1.22488 0.97606 1.03039 1.00677 1.21182 0.82270 0.98218 0.97412 0.93296 0.92606 0.93169 0.93403 0.93198 0.92877 0.89369 0.92629 0.91377 0.93434 0.88266 0.92486 0.75802 0.92706 0.92065 0.89081 0.91752 0.90894 0.91874 0.88869 0.92201 0.92526 0.92293 0.90645 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. Note: The number of geometries may not correspond to the number of cycles due to rejected geometry changes. In the following table subtotal= G_P + SS G_CDS. Atom Chem. CM2 G_P Area Sigma k SS G_CDS Subtotal M number symbol chg. (kcal) (Ang**2) cal/(Ang**2) (kcal) (kcal) value 1 C -0.14 -1.92 9.10 37.16 0.34 -1.58 16 2 C -0.11 -1.82 2.61 -92.47 -0.24 -2.06 16 3 H 0.08 1.69 8.14 -51.93 -0.42 1.26 16 4 C -0.10 -1.51 4.37 -29.78 -0.13 -1.64 16 5 C -0.12 -1.92 5.52 -28.00 -0.15 -2.08 16 6 C -0.12 -1.71 5.71 -27.30 -0.16 -1.86 16 7 C 0.11 1.78 5.77 -2.95 -0.02 1.76 16 8 N -0.61 -11.60 2.24 -172.54 -0.39 -11.99 16 9 C 0.53 12.13 6.05 -10.99 -0.07 12.06 16 10 O -0.53 -13.52 14.18 5.56 0.08 -13.44 16 11 C 0.27 6.41 1.70 -70.23 -0.12 6.29 16 12 H 0.06 1.45 6.16 -51.93 -0.32 1.14 16 13 C -0.53 -13.42 7.90 -34.44 -0.27 -13.69 16 14 H 0.07 1.80 7.81 -52.49 -0.41 1.39 16 15 C 0.08 2.05 5.23 -17.82 -0.09 1.95 16 16 N -0.84 -22.51 10.81 55.43 0.60 -21.91 16 17 Si 0.89 20.46 29.54 -169.99 -5.02 15.44 16 18 H -0.27 -6.12 7.11 56.52 0.40 -5.72 16 19 H -0.28 -6.65 7.11 56.52 0.40 -6.25 16 20 H -0.28 -6.47 7.11 56.52 0.40 -6.07 16 21 N -0.66 -16.09 4.44 -61.01 -0.27 -16.36 16 22 C 0.64 14.96 8.01 54.05 0.43 15.40 16 23 O -0.59 -14.13 11.54 -19.28 -0.22 -14.35 16 24 O -0.37 -7.79 9.94 -40.31 -0.40 -8.19 16 25 C 0.14 2.28 1.13 -90.62 -0.10 2.17 16 26 C -0.18 -2.77 8.37 37.16 0.31 -2.46 16 27 C -0.14 -1.80 8.85 37.16 0.33 -1.47 16 28 C -0.18 -2.99 8.37 37.16 0.31 -2.68 16 29 C 0.13 2.25 4.74 -4.09 -0.02 2.23 16 30 H 0.05 0.58 8.14 -51.93 -0.42 0.15 16 31 H 0.05 0.79 8.14 -51.93 -0.42 0.37 16 32 H 0.05 0.65 8.14 -51.93 -0.42 0.23 16 33 H 0.05 0.68 8.11 -51.93 -0.42 0.26 16 34 H 0.05 0.64 7.35 -51.93 -0.38 0.26 16 35 H 0.05 0.75 8.14 -51.93 -0.42 0.33 16 36 H 0.09 1.73 7.48 -51.93 -0.39 1.34 16 37 H 0.05 0.69 7.31 -51.93 -0.38 0.31 16 38 H 0.07 0.84 8.14 -51.93 -0.42 0.42 16 39 H 0.05 0.68 8.14 -51.93 -0.42 0.26 16 40 H 0.10 1.80 4.99 -51.93 -0.26 1.55 16 41 H 0.27 6.97 8.31 -40.82 -0.34 6.64 16 42 H 0.41 10.29 7.52 -40.82 -0.31 9.99 16 43 H 0.05 0.80 8.14 -51.93 -0.42 0.38 16 44 H 0.06 0.77 8.14 -51.93 -0.42 0.34 16 45 H 0.09 1.64 5.88 -51.93 -0.31 1.33 16 46 H 0.06 0.84 8.14 -51.93 -0.42 0.41 16 47 H 0.07 0.76 8.14 -51.93 -0.42 0.33 16 48 H 0.06 0.78 8.14 -51.93 -0.42 0.36 16 49 H 0.09 1.82 5.88 -51.93 -0.31 1.52 16 50 H 0.06 0.80 8.14 -51.93 -0.42 0.37 16 51 H 0.06 0.94 8.14 -51.93 -0.42 0.52 16 52 H 0.06 0.85 8.06 -51.93 -0.42 0.43 16 53 H 0.08 1.39 7.20 -51.93 -0.37 1.02 16 LS Contribution 403.51 15.07 6.08 6.08 Total: -1.00 -29.01 403.51 -8.52 -37.52 By element: Atomic # 1 Polarization: 24.17 SS G_CDS: -9.32 Total: 14.85 kcal Atomic # 6 Polarization: 11.99 SS G_CDS: 0.35 Total: 12.34 kcal Atomic # 7 Polarization: -50.20 SS G_CDS: -0.06 Total: -50.26 kcal Atomic # 8 Polarization: -35.44 SS G_CDS: -0.54 Total: -35.98 kcal Atomic # 14 Polarization: 20.46 SS G_CDS: -5.02 Total: 15.44 kcal Total LS contribution 6.08 Total: 6.08 kcal Total: -29.01 -8.52 -37.52 kcal The number of atoms in the molecule is 53 The average number of expansion shells was 16.00 The maximum number of expansion shells was 16 The minimum number of expansion shells was 16 **** NOTA BENE **** This is the net solvation energy for this exact molecular structure (nuclear and electronic)! The standard-state solvation energy should be obtained as the difference between the heat of formation plus delta-G solvation for the relaxed solvated system and that for the relaxed gas-phase system. ZINC001180778720.mol2 53 1SCF run This is a breakdown of the solvation energy calculated without geometric relaxation in solution: (1) E-EN(sol) electronic-nuclear energy of solute -90.852 kcal (2) G-P(sol) polarization free energy of solvation -29.008 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -119.860 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.516 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -37.523 kcal (6) G-S(sol) free energy of system = (1) + (5) -128.375 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.67 seconds