Wall clock time and date at job start Tue Mar 31 2020 21:33:05 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 1.53006 * 1 3 3 H 1.08999 * 109.50758 * 2 1 4 4 C 1.53272 * 109.51393 * 120.09990 * 2 1 3 5 5 N 1.47162 * 108.56848 * 172.91189 * 4 2 1 6 6 C 1.34772 * 121.07911 * 128.76445 * 5 4 2 7 7 O 1.21279 * 120.00486 * 174.87367 * 6 5 4 8 8 C 1.50702 * 120.00073 * 354.87145 * 6 5 4 9 9 C 1.53002 * 109.46979 * 300.97940 * 8 6 5 10 10 C 1.52998 * 109.47035 * 60.97613 * 8 6 5 11 11 C 1.52993 * 109.47518 * 180.97812 * 8 6 5 12 12 C 1.53001 * 117.49912 * 248.62288 * 11 8 6 13 13 C 1.52996 * 60.00081 * 252.50812 * 12 11 8 14 14 C 1.47331 * 117.84481 * 308.77937 * 5 4 2 15 15 C 1.52375 * 108.40515 * 49.18711 * 14 5 4 16 16 C 1.54344 * 110.42127 * 186.36807 * 15 14 5 17 17 C 1.54466 * 102.86983 * 207.61488 * 16 15 14 18 18 N 1.47081 * 107.29747 * 21.48698 * 17 16 15 19 19 C 1.36941 * 125.62945 * 180.99128 * 18 17 16 20 20 H 1.07999 * 119.99503 * 180.02562 * 19 18 17 21 21 C 1.38810 * 120.00082 * 0.02562 * 19 18 17 22 22 N 1.31618 * 120.00027 * 0.02562 * 21 19 18 23 23 Si 1.86792 * 119.99993 * 180.02562 * 21 19 18 24 24 H 1.48503 * 109.47043 * 60.00481 * 23 21 19 25 25 H 1.48501 * 109.47023 * 180.02562 * 23 21 19 26 26 H 1.48504 * 109.47550 * 300.00105 * 23 21 19 27 27 C 1.47571 * 108.74005 * 1.00296 * 18 17 16 28 28 O 1.41886 * 111.44044 * 309.91461 * 15 14 5 29 29 H 1.09001 * 109.46875 * 299.89397 * 1 2 3 30 30 H 1.09004 * 109.46905 * 179.90341 * 1 2 3 31 31 H 1.08995 * 109.47201 * 59.89970 * 1 2 3 32 32 H 1.09001 * 109.62008 * 292.63842 * 4 2 1 33 33 H 1.09002 * 109.62284 * 52.99894 * 4 2 1 34 34 H 1.08999 * 109.47430 * 47.34706 * 9 8 6 35 35 H 1.09006 * 109.47005 * 167.34653 * 9 8 6 36 36 H 1.08999 * 109.47010 * 287.34941 * 9 8 6 37 37 H 1.08999 * 109.47180 * 68.21981 * 10 8 6 38 38 H 1.09001 * 109.47436 * 188.22344 * 10 8 6 39 39 H 1.09001 * 109.47200 * 308.22701 * 10 8 6 40 40 H 1.09003 * 115.55411 * 34.32773 * 11 8 6 41 41 H 1.09003 * 117.50178 * 359.97438 * 12 11 8 42 42 H 1.09008 * 117.50053 * 145.01384 * 12 11 8 43 43 H 1.09002 * 117.49621 * 252.50951 * 13 12 11 44 44 H 1.08994 * 117.49947 * 107.48968 * 13 12 11 45 45 H 1.09004 * 109.67912 * 168.90713 * 14 5 4 46 46 H 1.08998 * 109.68399 * 289.45471 * 14 5 4 47 47 H 1.09000 * 110.73867 * 325.95683 * 16 15 14 48 48 H 1.08997 * 110.73695 * 89.27016 * 16 15 14 49 49 H 1.09002 * 109.88036 * 262.05624 * 17 16 15 50 50 H 1.09001 * 110.00314 * 140.98331 * 17 16 15 51 51 H 0.97003 * 120.00383 * 180.02562 * 22 21 19 52 52 H 1.08993 * 110.38122 * 217.85062 * 27 18 17 53 53 H 1.09002 * 110.46569 * 95.54913 * 27 18 17 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 1.5301 0.0000 0.0000 3 1 1.8940 1.0274 0.0000 4 6 2.0420 -0.7245 1.2499 5 7 3.5034 -0.8631 1.1456 6 6 4.3125 -0.4748 2.1510 7 8 5.5055 -0.6825 2.0841 8 6 3.7349 0.2176 3.3585 9 6 3.0203 1.4972 2.9194 10 6 2.7364 -0.7123 4.0506 11 6 4.8616 0.5710 4.3314 12 6 4.9083 -0.1828 5.6621 13 6 4.4767 1.2846 5.6289 14 6 4.0533 -1.4397 -0.0937 15 6 3.4216 -0.7217 -1.2800 16 6 3.8436 -1.3944 -2.6035 17 6 3.7652 -0.2336 -3.6196 18 7 3.8527 1.0213 -2.8576 19 6 3.8012 2.2824 -3.3889 20 1 3.8749 3.1442 -2.7421 21 6 3.6542 2.4531 -4.7586 22 7 3.5638 1.4028 -5.5467 23 14 3.5847 4.1733 -5.4833 24 1 4.8424 4.8958 -5.1647 25 1 3.4246 4.0835 -6.9569 26 1 2.4314 4.9082 -4.9044 27 6 4.0054 0.6971 -1.4261 28 8 2.0080 -0.6775 -1.1666 29 1 -0.3633 0.5122 0.8910 30 1 -0.3633 -1.0277 -0.0017 31 1 -0.3633 0.5154 -0.8890 32 1 1.7918 -0.1439 2.1378 33 1 1.5819 -1.7105 1.3157 34 1 2.3757 1.2794 2.0678 35 1 2.4170 1.8776 3.7438 36 1 3.7589 2.2462 2.6338 37 1 3.2696 -1.5548 4.4912 38 1 2.2121 -0.1645 4.8337 39 1 2.0161 -1.0804 3.3200 40 1 5.8125 0.8406 3.8718 41 1 4.1361 -0.9302 5.8445 42 1 5.8901 -0.4095 6.0779 43 1 5.1746 2.0234 6.0230 44 1 3.4209 1.5024 5.7894 45 1 5.1344 -1.3017 -0.1145 46 1 3.8175 -2.5028 -0.1401 47 1 4.8614 -1.7782 -2.5340 48 1 3.1477 -2.1894 -2.8714 49 1 2.8182 -0.2754 -4.1577 50 1 4.5946 -0.2981 -4.3240 51 1 3.4615 1.5220 -6.5039 52 1 3.4437 1.4034 -0.8149 53 1 5.0581 0.7053 -1.1436 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001071202241.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 21:33:05 Heat of formation + Delta-G solvation = 0.064059 kcal Electronic energy + Delta-G solvation = -32256.756460 eV Core-core repulsion = 28324.253031 eV Total energy + Delta-G solvation = -3932.503429 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.11 seconds Orbital eigenvalues (eV) -41.16219 -39.38214 -37.56679 -36.43315 -34.84800 -33.51691 -32.66151 -31.29871 -29.38557 -28.27221 -27.76972 -26.67566 -25.76754 -24.41272 -23.72731 -22.43528 -21.85733 -20.87886 -20.09831 -19.07893 -18.64370 -17.03945 -16.93985 -16.69701 -16.30455 -15.47646 -15.22435 -14.82300 -14.66669 -14.59016 -14.17577 -13.97154 -13.83314 -13.45248 -13.36269 -13.09376 -12.71534 -12.56160 -12.48907 -12.21647 -12.17402 -12.01693 -11.84804 -11.73243 -11.58921 -11.45170 -11.22942 -11.01861 -10.89303 -10.84876 -10.82771 -10.52567 -10.34036 -10.20805 -10.16492 -10.09727 -10.04042 -9.65639 -9.51929 -9.41197 -8.54941 -8.31162 -6.77832 -5.66968 -2.99775 2.64113 2.87452 3.42605 3.46588 3.48035 3.63743 3.88858 4.25672 4.32796 4.51785 4.65203 4.69863 4.77920 4.84283 4.88881 4.95834 5.07178 5.10566 5.20762 5.21232 5.28688 5.37581 5.42713 5.46559 5.49517 5.51938 5.57712 5.61381 5.64321 5.65310 5.68820 5.73602 5.84976 5.92594 5.93641 5.94690 6.00116 6.09449 6.15328 6.20758 6.21743 6.35800 6.44782 6.51244 6.62799 6.68882 7.39471 7.57153 7.65998 7.72909 7.87145 8.18567 8.29874 9.25777 9.85717 10.52059 11.44789 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.015285 B = 0.003516 C = 0.003353 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1831.390335 B = 7960.615723 C = 8348.732485 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 0.068 3.932 3 H 0.069 0.931 4 C 0.058 3.942 5 N -0.609 5.609 6 C 0.530 3.470 7 O -0.536 6.536 8 C -0.048 4.048 9 C -0.155 4.155 10 C -0.163 4.163 11 C -0.128 4.128 12 C -0.183 4.183 13 C -0.176 4.176 14 C 0.098 3.902 15 C 0.093 3.907 16 C -0.130 4.130 17 C 0.183 3.817 18 N -0.598 5.598 19 C -0.227 4.227 20 H 0.074 0.926 21 C -0.007 4.007 22 N -0.921 5.921 23 Si 0.911 3.089 24 H -0.286 1.286 25 H -0.290 1.290 26 H -0.286 1.286 27 C 0.122 3.878 28 O -0.346 6.346 29 H 0.068 0.932 30 H 0.062 0.938 31 H 0.071 0.929 32 H 0.112 0.888 33 H 0.075 0.925 34 H 0.073 0.927 35 H 0.069 0.931 36 H 0.067 0.933 37 H 0.068 0.932 38 H 0.069 0.931 39 H 0.075 0.925 40 H 0.115 0.885 41 H 0.100 0.900 42 H 0.092 0.908 43 H 0.093 0.907 44 H 0.093 0.907 45 H 0.100 0.900 46 H 0.071 0.929 47 H 0.072 0.928 48 H 0.073 0.927 49 H 0.050 0.950 50 H 0.044 0.956 51 H 0.252 0.748 52 H 0.038 0.962 53 H 0.024 0.976 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.080 -5.684 20.928 22.273 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 0.010 3.990 3 H 0.087 0.913 4 C -0.065 4.065 5 N -0.342 5.342 6 C 0.318 3.682 7 O -0.412 6.412 8 C -0.052 4.052 9 C -0.212 4.212 10 C -0.220 4.220 11 C -0.146 4.146 12 C -0.220 4.220 13 C -0.213 4.213 14 C -0.025 4.025 15 C 0.051 3.949 16 C -0.168 4.168 17 C 0.058 3.942 18 N -0.325 5.325 19 C -0.355 4.355 20 H 0.092 0.908 21 C -0.203 4.203 22 N -0.568 5.568 23 Si 0.742 3.258 24 H -0.212 1.212 25 H -0.216 1.216 26 H -0.212 1.212 27 C -0.005 4.005 28 O -0.265 6.265 29 H 0.087 0.913 30 H 0.081 0.919 31 H 0.090 0.910 32 H 0.130 0.870 33 H 0.093 0.907 34 H 0.091 0.909 35 H 0.088 0.912 36 H 0.086 0.914 37 H 0.087 0.913 38 H 0.088 0.912 39 H 0.093 0.907 40 H 0.133 0.867 41 H 0.118 0.882 42 H 0.110 0.890 43 H 0.112 0.888 44 H 0.112 0.888 45 H 0.119 0.881 46 H 0.089 0.911 47 H 0.091 0.909 48 H 0.091 0.909 49 H 0.068 0.932 50 H 0.062 0.938 51 H 0.063 0.937 52 H 0.056 0.944 53 H 0.041 0.959 Dipole moment (debyes) X Y Z Total from point charges -4.569 -5.781 20.521 21.804 hybrid contribution 0.137 1.012 -0.279 1.059 sum -4.432 -4.769 20.242 21.264 Atomic orbital electron populations 1.21700 0.92550 1.02840 1.02843 1.22486 0.95248 0.96298 0.85003 0.91350 1.23109 0.80509 1.02165 1.00711 1.48094 1.06601 1.62711 1.16799 1.20391 0.86357 0.78070 0.83421 1.90671 1.15361 1.55690 1.79461 1.20178 0.95714 0.96289 0.92979 1.22186 1.00882 0.95896 1.02189 1.22430 0.98706 0.99583 1.01296 1.22054 0.99504 1.04675 0.88410 1.23148 1.03013 0.95022 1.00790 1.22952 1.01926 0.95316 1.01141 1.22175 1.00580 0.97174 0.82525 1.22325 0.81274 0.97007 0.94281 1.22837 1.00127 0.99987 0.93888 1.21155 1.01206 0.81285 0.90532 1.44405 1.86011 1.02501 0.99547 1.18967 1.43258 0.82517 0.90785 0.90766 1.24768 1.02204 0.97333 0.95979 1.69947 1.56366 1.27085 1.03440 0.86214 0.77845 0.83685 0.78094 1.21220 1.21572 1.21242 1.21912 0.97017 0.93000 0.88559 1.87845 1.20093 1.76504 1.42048 0.91297 0.91851 0.90959 0.87007 0.90669 0.90887 0.91248 0.91429 0.91349 0.91231 0.90679 0.86686 0.88224 0.88991 0.88834 0.88817 0.88142 0.91112 0.90903 0.90883 0.93187 0.93822 0.93732 0.94390 0.95868 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 -1.58 9.57 37.16 0.36 -1.23 16 2 C 0.07 0.96 2.95 -26.59 -0.08 0.88 16 3 H 0.07 1.07 5.65 -51.93 -0.29 0.78 16 4 C 0.06 0.65 3.35 -3.54 -0.01 0.64 16 5 N -0.61 -8.49 2.94 -172.69 -0.51 -9.00 16 6 C 0.53 7.68 6.50 -10.99 -0.07 7.61 16 7 O -0.54 -9.68 15.17 5.56 0.08 -9.59 16 8 C -0.05 -0.52 0.60 -155.66 -0.09 -0.61 16 9 C -0.15 -1.51 7.77 37.16 0.29 -1.22 16 10 C -0.16 -1.33 6.81 37.16 0.25 -1.07 16 11 C -0.13 -1.38 4.71 -90.62 -0.43 -1.81 16 12 C -0.18 -1.63 9.58 -26.73 -0.26 -1.89 16 13 C -0.18 -1.45 9.57 -26.73 -0.26 -1.71 16 14 C 0.10 1.55 5.28 -3.91 -0.02 1.53 16 15 C 0.09 1.70 0.83 -89.65 -0.07 1.62 16 16 C -0.13 -2.50 6.12 -25.26 -0.15 -2.65 16 17 C 0.18 4.56 5.39 -2.96 -0.02 4.54 16 18 N -0.60 -15.75 3.40 -170.32 -0.58 -16.32 16 19 C -0.23 -6.48 10.28 -15.06 -0.15 -6.64 16 20 H 0.07 2.05 7.83 -52.49 -0.41 1.64 16 21 C -0.01 -0.19 5.49 -17.43 -0.10 -0.28 16 22 N -0.92 -27.43 10.31 55.49 0.57 -26.86 16 23 Si 0.91 22.45 29.55 -169.99 -5.02 17.43 16 24 H -0.29 -6.95 7.11 56.52 0.40 -6.55 16 25 H -0.29 -7.17 7.11 56.52 0.40 -6.77 16 26 H -0.29 -6.92 7.11 56.52 0.40 -6.52 16 27 C 0.12 2.66 6.18 -2.87 -0.02 2.64 16 28 O -0.35 -6.26 9.92 -35.22 -0.35 -6.61 16 29 H 0.07 0.56 8.14 -51.93 -0.42 0.14 16 30 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 31 H 0.07 0.93 8.14 -51.93 -0.42 0.51 16 32 H 0.11 1.00 2.93 -51.93 -0.15 0.84 16 33 H 0.08 0.77 8.11 -51.93 -0.42 0.35 16 34 H 0.07 0.74 4.19 -51.93 -0.22 0.52 16 35 H 0.07 0.52 7.64 -51.93 -0.40 0.12 16 36 H 0.07 0.75 8.08 -51.93 -0.42 0.33 16 37 H 0.07 0.58 6.37 -51.93 -0.33 0.25 16 38 H 0.07 0.44 7.48 -51.93 -0.39 0.05 16 39 H 0.07 0.57 4.63 -51.93 -0.24 0.33 16 40 H 0.12 1.51 7.49 -51.93 -0.39 1.12 16 41 H 0.10 0.79 5.74 -51.93 -0.30 0.49 16 42 H 0.09 0.80 8.14 -51.92 -0.42 0.38 16 43 H 0.09 0.72 8.14 -51.93 -0.42 0.30 16 44 H 0.09 0.66 7.39 -51.93 -0.38 0.28 16 45 H 0.10 1.72 6.90 -51.93 -0.36 1.36 16 46 H 0.07 1.01 8.14 -51.93 -0.42 0.59 16 47 H 0.07 1.27 8.00 -51.93 -0.42 0.86 16 48 H 0.07 1.30 8.14 -51.93 -0.42 0.87 16 49 H 0.05 1.39 7.38 -51.93 -0.38 1.01 16 50 H 0.04 1.19 7.49 -51.93 -0.39 0.80 16 51 H 0.25 7.31 8.31 -40.82 -0.34 6.97 16 52 H 0.04 0.83 6.09 -51.93 -0.32 0.51 16 53 H 0.02 0.53 7.82 -51.93 -0.41 0.13 16 LS Contribution 386.10 15.07 5.82 5.82 Total: -1.00 -33.37 386.10 -9.52 -42.89 By element: Atomic # 1 Polarization: 10.61 SS G_CDS: -8.70 Total: 1.91 kcal Atomic # 6 Polarization: 1.17 SS G_CDS: -0.83 Total: 0.34 kcal Atomic # 7 Polarization: -51.67 SS G_CDS: -0.52 Total: -52.19 kcal Atomic # 8 Polarization: -15.94 SS G_CDS: -0.27 Total: -16.20 kcal Atomic # 14 Polarization: 22.45 SS G_CDS: -5.02 Total: 17.43 kcal Total LS contribution 5.82 Total: 5.82 kcal Total: -33.37 -9.52 -42.89 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. ZINC001071202241.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 42.956 kcal (2) G-P(sol) polarization free energy of solvation -33.372 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 9.584 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.520 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.892 kcal (6) G-S(sol) free energy of system = (1) + (5) 0.064 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.12 seconds