Wall clock time and date at job start Wed Apr 1 2020 00:45:50 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 1.08993 * 110.66153 * 2 1 4 4 C 1.54600 * 110.98935 * 236.84054 * 2 1 3 5 5 N 1.48108 * 103.42418 * 204.37588 * 4 2 1 6 6 C 1.34779 * 127.03778 * 219.28518 * 5 4 2 7 7 O 1.21281 * 120.00460 * 179.68399 * 6 5 4 8 8 C 1.50706 * 119.99503 * 359.68237 * 6 5 4 9 9 C 1.52999 * 109.47112 * 179.97438 * 8 6 5 10 10 C 1.50696 * 109.47110 * 179.97438 * 9 8 6 11 11 H 1.07997 * 120.00012 * 0.02562 * 10 9 8 12 12 C 1.37877 * 119.99842 * 180.02562 * 10 9 8 13 13 N 1.31516 * 120.00069 * 0.02562 * 12 10 9 14 14 Si 1.86800 * 119.99806 * 180.02562 * 12 10 9 15 15 H 1.48503 * 109.46845 * 90.00621 * 14 12 10 16 16 H 1.48503 * 109.47399 * 210.00111 * 14 12 10 17 17 H 1.48498 * 109.47295 * 330.00717 * 14 12 10 18 18 C 1.47488 * 105.93420 * 39.02687 * 5 4 2 19 19 C 1.54004 * 107.08039 * 334.77662 * 18 5 4 20 20 H 1.09002 * 110.32663 * 120.30454 * 19 18 5 21 21 C 1.53000 * 110.32909 * 242.41259 * 19 18 5 22 22 N 1.46494 * 109.47586 * 293.55342 * 21 19 18 23 23 C 1.34778 * 120.00683 * 179.97438 * 22 21 19 24 24 O 1.21512 * 119.99364 * 359.97438 * 23 22 21 25 25 O 1.34631 * 120.00494 * 179.97438 * 23 22 21 26 26 C 1.45198 * 117.00146 * 180.02562 * 25 23 22 27 27 C 1.52998 * 109.47456 * 59.99416 * 26 25 23 28 28 C 1.53002 * 109.47032 * 179.97438 * 26 25 23 29 29 C 1.53001 * 109.46781 * 299.99614 * 26 25 23 30 30 H 1.09000 * 109.47157 * 296.80953 * 1 2 3 31 31 H 1.09006 * 109.46709 * 56.80884 * 1 2 3 32 32 H 1.08998 * 109.47192 * 176.80756 * 1 2 3 33 33 H 1.09001 * 110.62028 * 85.85715 * 4 2 1 34 34 H 1.09001 * 110.54554 * 322.85892 * 4 2 1 35 35 H 1.09005 * 109.46562 * 60.00112 * 8 6 5 36 36 H 1.08996 * 109.47306 * 300.00644 * 8 6 5 37 37 H 1.09008 * 109.46748 * 60.00316 * 9 8 6 38 38 H 1.08991 * 109.47440 * 300.00520 * 9 8 6 39 39 H 0.97000 * 119.99838 * 359.97438 * 13 12 10 40 40 H 1.08995 * 109.91744 * 94.13828 * 18 5 4 41 41 H 1.09001 * 109.91140 * 215.22739 * 18 5 4 42 42 H 1.09007 * 109.46801 * 53.54596 * 21 19 18 43 43 H 1.08996 * 109.47724 * 173.54241 * 21 19 18 44 44 H 0.97007 * 119.99967 * 359.97438 * 22 21 19 45 45 H 1.09008 * 109.46612 * 60.00351 * 27 26 25 46 46 H 1.08997 * 109.47117 * 180.02562 * 27 26 25 47 47 H 1.08998 * 109.47123 * 300.00369 * 27 26 25 48 48 H 1.08997 * 109.47094 * 59.99763 * 28 26 25 49 49 H 1.09004 * 109.46787 * 179.97438 * 28 26 25 50 50 H 1.09001 * 109.47170 * 299.99348 * 28 26 25 51 51 H 1.08998 * 109.47153 * 60.00025 * 29 26 25 52 52 H 1.08997 * 109.47031 * 180.02562 * 29 26 25 53 53 H 1.08995 * 109.47216 * 299.99770 * 29 26 25 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 1.9146 1.0198 0.0000 4 6 2.0838 -0.7895 -1.2084 5 7 3.4321 -1.2058 -0.7584 6 6 4.5593 -1.2407 -1.4964 7 8 5.6027 -1.6002 -0.9933 8 6 4.5232 -0.8331 -2.9468 9 6 5.9241 -0.9630 -3.5481 10 6 5.8879 -0.5560 -4.9986 11 1 4.9588 -0.2363 -5.4467 12 6 7.0410 -0.5919 -5.7536 13 7 8.1724 -0.9817 -5.2081 14 14 6.9963 -0.0867 -7.5515 15 1 7.2644 1.3696 -7.6632 16 1 8.0321 -0.8398 -8.3033 17 1 5.6568 -0.3882 -8.1172 18 6 3.2902 -1.5682 0.6642 19 6 2.0775 -0.7916 1.2101 20 1 1.3228 -1.4829 1.5851 21 6 2.5157 0.1677 2.3185 22 7 2.9845 -0.6019 3.4734 23 6 3.4232 0.0370 4.5761 24 8 3.4302 1.2516 4.6119 25 8 3.8535 -0.6703 5.6377 26 6 4.3111 0.0841 6.7908 27 6 3.1696 0.9580 7.3144 28 6 4.7571 -0.8835 7.8890 29 6 5.4885 0.9726 6.3844 30 1 -0.3633 0.4635 0.9172 31 1 -0.3633 0.5626 -0.8601 32 1 -0.3633 -1.0260 -0.0572 33 1 2.1525 -0.1482 -2.0870 34 1 1.4611 -1.6602 -1.4143 35 1 4.1890 0.2015 -3.0252 36 1 3.8333 -1.4798 -3.4889 37 1 6.2587 -1.9975 -3.4696 38 1 6.6136 -0.3161 -3.0059 39 1 8.1957 -1.2437 -4.2744 40 1 3.1177 -2.6402 0.7588 41 1 4.1908 -1.2876 1.2103 42 1 3.3235 0.8014 1.9521 43 1 1.6716 0.7903 2.6150 44 1 2.9792 -1.5716 3.4447 45 1 2.3308 0.3248 7.6040 46 1 3.5133 1.5246 8.1797 47 1 2.8515 1.6472 6.5322 48 1 5.5702 -1.5063 7.5162 49 1 5.1010 -0.3171 8.7545 50 1 3.9180 -1.5162 8.1785 51 1 5.1704 1.6619 5.6022 52 1 5.8323 1.5386 7.2501 53 1 6.3017 0.3501 6.0114 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 ZINC000870367993.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 00:45:50 Heat of formation + Delta-G solvation = -141.448474 kcal Electronic energy + Delta-G solvation = -30183.194897 eV Core-core repulsion = 26054.098972 eV Total energy + Delta-G solvation = -4129.095925 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.09 seconds Orbital eigenvalues (eV) -41.05684 -40.11559 -38.21897 -37.35483 -35.13117 -34.22963 -33.80231 -32.86635 -31.13977 -30.22761 -27.74553 -27.67984 -26.76750 -26.48280 -24.77806 -23.16569 -21.99968 -21.44353 -20.68062 -19.99307 -18.91602 -18.39477 -17.09215 -16.91721 -16.64843 -16.21768 -16.04101 -15.54309 -15.29452 -14.89781 -14.87587 -14.42342 -14.20283 -13.80860 -13.69939 -13.51683 -13.35746 -13.18823 -12.83382 -12.67109 -12.55326 -12.38318 -12.33767 -12.23359 -12.20936 -11.92264 -11.86438 -11.74615 -11.63880 -11.51148 -11.21412 -11.10904 -10.96666 -10.81306 -10.65849 -10.30348 -10.12795 -10.11734 -9.93565 -9.48290 -9.32120 -8.57170 -8.53441 -8.27908 -6.31698 -4.01908 1.88278 2.60233 3.09347 3.13424 3.45081 3.49116 3.64625 3.79357 4.18429 4.21948 4.30168 4.38510 4.43237 4.57402 4.57508 4.79740 4.94255 4.98836 5.13214 5.14941 5.19857 5.21024 5.22382 5.31007 5.35294 5.38491 5.41660 5.46005 5.47873 5.54066 5.57581 5.59089 5.65391 5.71456 5.72219 5.81760 5.88364 5.97352 5.98295 6.07824 6.09799 6.10957 6.25670 6.39364 6.73469 7.12013 7.51494 7.56562 7.74748 8.12158 8.19332 8.49875 8.61314 8.92211 9.71886 11.09273 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014447 B = 0.002072 C = 0.001891 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1937.624092 B =13513.370168 C =14799.689591 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.142 4.142 2 C -0.098 4.098 3 H 0.089 0.911 4 C 0.105 3.895 5 N -0.632 5.632 6 C 0.529 3.471 7 O -0.535 6.535 8 C -0.117 4.117 9 C 0.024 3.976 10 C -0.608 4.608 11 H 0.050 0.950 12 C 0.014 3.986 13 N -0.911 5.911 14 Si 1.073 2.927 15 H -0.288 1.288 16 H -0.284 1.284 17 H -0.289 1.289 18 C 0.104 3.896 19 C -0.111 4.111 20 H 0.095 0.905 21 C 0.147 3.853 22 N -0.711 5.711 23 C 0.650 3.350 24 O -0.567 6.567 25 O -0.365 6.365 26 C 0.136 3.864 27 C -0.183 4.183 28 C -0.141 4.141 29 C -0.185 4.185 30 H 0.060 0.940 31 H 0.063 0.937 32 H 0.059 0.941 33 H 0.087 0.913 34 H 0.073 0.927 35 H 0.081 0.919 36 H 0.081 0.919 37 H 0.014 0.986 38 H 0.014 0.986 39 H 0.272 0.728 40 H 0.064 0.936 41 H 0.077 0.923 42 H 0.075 0.925 43 H 0.075 0.925 44 H 0.406 0.594 45 H 0.059 0.941 46 H 0.070 0.930 47 H 0.087 0.913 48 H 0.067 0.933 49 H 0.080 0.920 50 H 0.066 0.934 51 H 0.088 0.912 52 H 0.070 0.930 53 H 0.061 0.939 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -18.321 1.032 24.278 30.433 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 -0.199 4.199 2 C -0.118 4.118 3 H 0.107 0.893 4 C -0.018 4.018 5 N -0.368 5.368 6 C 0.320 3.680 7 O -0.410 6.410 8 C -0.156 4.156 9 C -0.014 4.014 10 C -0.646 4.646 11 H 0.068 0.932 12 C -0.190 4.190 13 N -0.547 5.547 14 Si 0.902 3.098 15 H -0.215 1.215 16 H -0.210 1.210 17 H -0.215 1.215 18 C -0.019 4.019 19 C -0.131 4.131 20 H 0.113 0.887 21 C 0.024 3.976 22 N -0.370 5.370 23 C 0.403 3.597 24 O -0.457 6.457 25 O -0.280 6.280 26 C 0.100 3.900 27 C -0.240 4.240 28 C -0.198 4.198 29 C -0.242 4.242 30 H 0.079 0.921 31 H 0.082 0.918 32 H 0.078 0.922 33 H 0.106 0.894 34 H 0.091 0.909 35 H 0.099 0.901 36 H 0.099 0.901 37 H 0.033 0.967 38 H 0.033 0.967 39 H 0.083 0.917 40 H 0.082 0.918 41 H 0.096 0.904 42 H 0.093 0.907 43 H 0.093 0.907 44 H 0.241 0.759 45 H 0.078 0.922 46 H 0.089 0.911 47 H 0.106 0.894 48 H 0.086 0.914 49 H 0.099 0.901 50 H 0.085 0.915 51 H 0.107 0.893 52 H 0.089 0.911 53 H 0.080 0.920 Dipole moment (debyes) X Y Z Total from point charges -16.643 1.610 23.219 28.613 hybrid contribution -1.041 -0.586 1.494 1.913 sum -17.684 1.024 24.713 30.406 Atomic orbital electron populations 1.21757 0.93402 1.02353 1.02419 1.22221 0.96251 0.99933 0.93358 0.89301 1.22513 0.83292 0.98557 0.97440 1.48989 1.08797 1.68317 1.10726 1.21330 0.81071 0.76237 0.89320 1.90674 1.29891 1.46986 1.73433 1.21706 1.03775 1.01605 0.88552 1.19034 0.89456 0.97308 0.95587 1.22040 0.97421 1.49615 0.95564 0.93208 1.25862 0.92354 0.94811 1.05971 1.70704 1.27305 1.40886 1.15777 0.83495 0.75319 0.76480 0.74554 1.21472 1.20995 1.21511 1.22018 0.97931 0.98539 0.83406 1.22473 0.97904 0.97674 0.95001 0.88718 1.21441 0.99891 0.93313 0.82911 1.44742 1.68026 1.10762 1.13490 1.18063 0.76811 0.84168 0.80613 1.90911 1.59745 1.12408 1.82590 1.86299 1.76572 1.41027 1.24113 1.22081 0.94332 0.91453 0.82175 1.22513 0.97849 1.00754 1.02875 1.21866 1.02276 0.99271 0.96399 1.22525 0.97191 1.00759 1.03729 0.92122 0.91829 0.92180 0.89412 0.90903 0.90105 0.90105 0.96737 0.96741 0.91701 0.91798 0.90443 0.90683 0.90654 0.75870 0.92239 0.91118 0.89393 0.91361 0.90104 0.91503 0.89340 0.91105 0.92009 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -0.79 9.17 37.16 0.34 -0.45 16 2 C -0.10 -0.76 3.18 -88.93 -0.28 -1.04 16 3 H 0.09 0.75 7.86 -51.93 -0.41 0.34 16 4 C 0.11 1.07 6.38 -2.32 -0.01 1.06 16 5 N -0.63 -9.11 3.29 -169.98 -0.56 -9.67 16 6 C 0.53 10.49 7.89 -10.98 -0.09 10.41 16 7 O -0.53 -12.90 16.32 5.56 0.09 -12.81 16 8 C -0.12 -2.43 4.57 -27.88 -0.13 -2.55 16 9 C 0.02 0.64 3.57 -27.89 -0.10 0.54 16 10 C -0.61 -17.60 9.11 -34.44 -0.31 -17.92 16 11 H 0.05 1.37 7.74 -52.49 -0.41 0.97 16 12 C 0.01 0.43 5.46 -17.82 -0.10 0.33 16 13 N -0.91 -29.05 13.65 55.43 0.76 -28.29 16 14 Si 1.07 25.63 29.90 -169.99 -5.08 20.55 16 15 H -0.29 -6.61 7.11 56.52 0.40 -6.21 16 16 H -0.28 -6.77 7.11 56.52 0.40 -6.37 16 17 H -0.29 -6.47 7.11 56.52 0.40 -6.06 16 18 C 0.10 1.20 6.31 -2.98 -0.02 1.18 16 19 C -0.11 -0.86 2.64 -89.25 -0.24 -1.10 16 20 H 0.09 0.55 7.86 -51.93 -0.41 0.14 16 21 C 0.15 1.30 4.76 -4.05 -0.02 1.28 16 22 N -0.71 -6.55 5.29 -65.28 -0.35 -6.89 16 23 C 0.65 7.54 8.06 54.06 0.44 7.98 16 24 O -0.57 -7.83 11.88 -19.28 -0.23 -8.06 16 25 O -0.37 -3.90 9.94 -40.30 -0.40 -4.30 16 26 C 0.14 1.22 1.13 -90.62 -0.10 1.12 16 27 C -0.18 -1.52 8.37 37.16 0.31 -1.21 16 28 C -0.14 -0.90 8.85 37.16 0.33 -0.57 16 29 C -0.18 -1.74 8.37 37.16 0.31 -1.43 16 30 H 0.06 0.31 8.14 -51.93 -0.42 -0.12 16 31 H 0.06 0.34 8.14 -51.93 -0.42 -0.08 16 32 H 0.06 0.31 8.11 -51.93 -0.42 -0.11 16 33 H 0.09 0.90 7.23 -51.93 -0.38 0.52 16 34 H 0.07 0.64 8.02 -51.93 -0.42 0.22 16 35 H 0.08 1.55 7.90 -51.93 -0.41 1.14 16 36 H 0.08 1.55 8.14 -51.93 -0.42 1.13 16 37 H 0.01 0.42 7.97 -51.92 -0.41 0.01 16 38 H 0.01 0.42 7.97 -51.93 -0.41 0.01 16 39 H 0.27 8.83 7.22 -40.82 -0.29 8.54 16 40 H 0.06 0.68 8.14 -51.93 -0.42 0.26 16 41 H 0.08 1.05 7.49 -51.93 -0.39 0.66 16 42 H 0.07 0.84 8.14 -51.92 -0.42 0.41 16 43 H 0.08 0.63 8.14 -51.93 -0.42 0.20 16 44 H 0.41 2.98 8.43 -40.82 -0.34 2.63 16 45 H 0.06 0.45 8.14 -51.92 -0.42 0.03 16 46 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 47 H 0.09 0.93 5.88 -51.93 -0.31 0.63 16 48 H 0.07 0.45 8.14 -51.93 -0.42 0.02 16 49 H 0.08 0.38 8.14 -51.93 -0.42 -0.05 16 50 H 0.07 0.39 8.14 -51.93 -0.42 -0.03 16 51 H 0.09 1.05 5.88 -51.93 -0.31 0.75 16 52 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 53 H 0.06 0.59 8.14 -51.93 -0.42 0.17 16 LS Contribution 420.83 15.07 6.34 6.34 Total: -1.00 -36.92 420.83 -8.70 -45.62 By element: Atomic # 1 Polarization: 9.50 SS G_CDS: -9.60 Total: -0.11 kcal Atomic # 6 Polarization: -2.71 SS G_CDS: 0.33 Total: -2.38 kcal Atomic # 7 Polarization: -44.70 SS G_CDS: -0.15 Total: -44.85 kcal Atomic # 8 Polarization: -24.64 SS G_CDS: -0.54 Total: -25.17 kcal Atomic # 14 Polarization: 25.63 SS G_CDS: -5.08 Total: 20.55 kcal Total LS contribution 6.34 Total: 6.34 kcal Total: -36.92 -8.70 -45.62 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. ZINC000870367993.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 -95.827 kcal (2) G-P(sol) polarization free energy of solvation -36.918 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -132.745 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.703 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -45.621 kcal (6) G-S(sol) free energy of system = (1) + (5) -141.448 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.09 seconds