Wall clock time and date at job start Sat Apr 11 2020 06:09:50 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 1.53004 * 1 3 3 C 1.53001 * 109.47424 * 2 1 4 4 C 1.52998 * 109.47589 * 239.99495 * 2 1 3 5 5 O 1.45208 * 109.46779 * 119.99589 * 2 1 3 6 6 C 1.34636 * 116.99983 * 60.00283 * 5 2 1 7 7 O 1.21514 * 120.00109 * 359.97438 * 6 5 2 8 8 N 1.34778 * 120.00135 * 179.97438 * 6 5 2 9 9 C 1.46919 * 120.63255 * 179.97438 * 8 6 5 10 10 C 1.53195 * 108.89273 * 126.34238 * 9 8 6 11 11 C 1.53346 * 109.14901 * 54.57640 * 10 9 8 12 12 C 1.53004 * 109.41904 * 178.67276 * 11 10 9 13 13 C 1.52999 * 109.47001 * 295.13027 * 12 11 10 14 14 C 1.50704 * 109.46635 * 179.97438 * 13 12 11 15 15 O 1.21272 * 120.00387 * 359.97438 * 14 13 12 16 16 N 1.34776 * 119.99671 * 180.02562 * 14 13 12 17 17 C 1.46504 * 120.00231 * 179.97438 * 16 14 13 18 18 C 1.50698 * 109.47520 * 179.97438 * 17 16 14 19 19 H 1.08007 * 119.99535 * 0.02562 * 18 17 16 20 20 C 1.37873 * 119.99980 * 179.97438 * 18 17 16 21 21 N 1.31516 * 119.99832 * 179.97438 * 20 18 17 22 22 Si 1.86798 * 120.00078 * 0.02562 * 20 18 17 23 23 H 1.48493 * 109.47433 * 89.99587 * 22 20 18 24 24 H 1.48499 * 109.46763 * 209.99586 * 22 20 18 25 25 H 1.48496 * 109.46943 * 329.99149 * 22 20 18 26 26 C 1.53034 * 109.61010 * 298.71225 * 11 10 9 27 27 C 1.46933 * 120.62741 * 0.02562 * 8 6 5 28 28 H 1.08997 * 109.47283 * 300.00457 * 1 2 3 29 29 H 1.08999 * 109.46530 * 60.00281 * 1 2 3 30 30 H 1.09002 * 109.47087 * 180.02562 * 1 2 3 31 31 H 1.08991 * 109.47427 * 179.97438 * 3 2 1 32 32 H 1.08999 * 109.46544 * 299.99998 * 3 2 1 33 33 H 1.09005 * 109.46960 * 59.99503 * 3 2 1 34 34 H 1.09002 * 109.47165 * 300.00269 * 4 2 1 35 35 H 1.08999 * 109.46767 * 59.99764 * 4 2 1 36 36 H 1.08997 * 109.47507 * 179.97438 * 4 2 1 37 37 H 1.09002 * 109.58751 * 246.20189 * 9 8 6 38 38 H 1.08996 * 109.58750 * 6.48373 * 9 8 6 39 39 H 1.08997 * 109.49914 * 174.65962 * 10 9 8 40 40 H 1.09002 * 109.49585 * 294.75599 * 10 9 8 41 41 H 1.09001 * 109.42242 * 58.75065 * 11 10 9 42 42 H 1.09001 * 109.46592 * 55.13132 * 12 11 10 43 43 H 1.08997 * 109.47133 * 175.12697 * 12 11 10 44 44 H 1.08991 * 109.47450 * 299.99495 * 13 12 11 45 45 H 1.08999 * 109.47142 * 60.00302 * 13 12 11 46 46 H 0.96998 * 120.00339 * 359.97438 * 16 14 13 47 47 H 1.09000 * 109.47097 * 300.00677 * 17 16 14 48 48 H 1.09007 * 109.46801 * 59.99574 * 17 16 14 49 49 H 0.97006 * 120.00019 * 180.02562 * 21 20 18 50 50 H 1.08994 * 109.50232 * 301.42239 * 26 11 10 51 51 H 1.09007 * 109.52628 * 181.33900 * 26 11 10 52 52 H 1.08994 * 109.58580 * 353.38021 * 27 8 6 53 53 H 1.09006 * 109.57831 * 113.65514 * 27 8 6 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 6 2.0401 1.4425 0.0000 4 6 2.0401 -0.7213 -1.2491 5 8 2.0140 -0.6844 1.1857 6 6 1.6522 -1.9723 1.3385 7 8 0.9509 -2.5095 0.5042 8 7 2.0679 -2.6656 2.4169 9 6 1.6810 -4.0714 2.5978 10 6 2.9450 -4.9103 2.8107 11 6 3.7491 -4.3216 3.9762 12 6 4.9966 -5.1745 4.2156 13 6 4.5780 -6.5730 4.6738 14 6 5.8067 -7.4132 4.9091 15 8 6.9086 -6.9403 4.7277 16 7 5.6810 -8.6906 5.3201 17 6 6.8754 -9.5077 5.5482 18 6 6.4631 -10.8851 5.9996 19 1 5.4160 -11.1278 6.1055 20 6 7.4226 -11.8358 6.2764 21 7 7.0628 -13.0377 6.6708 22 14 9.2335 -11.4162 6.0926 23 1 9.7502 -10.8796 7.3771 24 1 9.9905 -12.6404 5.7272 25 1 9.3993 -10.3953 5.0271 26 6 4.1681 -2.8889 3.6391 27 6 2.9158 -2.0296 3.4345 28 1 -0.3634 0.5139 0.8899 29 1 -0.3632 0.5138 -0.8900 30 1 -0.3633 -1.0277 0.0005 31 1 3.1300 1.4425 0.0005 32 1 1.6768 1.9562 -0.8900 33 1 1.6767 1.9564 0.8900 34 1 1.6768 -1.7490 -1.2491 35 1 1.6768 -0.2076 -2.1391 36 1 3.1301 -0.7209 -1.2493 37 1 1.0311 -4.1624 3.4682 38 1 1.1545 -4.4226 1.7104 39 1 2.6650 -5.9384 3.0401 40 1 3.5511 -4.8913 1.9049 41 1 3.1337 -4.3178 4.8758 42 1 5.5675 -5.2510 3.2902 43 1 5.6126 -4.7093 4.9851 44 1 4.0071 -6.4965 5.5991 45 1 3.9620 -7.0382 3.9042 46 1 4.7996 -9.0690 5.4648 47 1 7.4458 -9.5838 4.6226 48 1 7.4919 -9.0429 6.3177 49 1 7.7378 -13.7065 6.8659 50 1 4.7628 -2.8890 2.7257 51 1 4.7597 -2.4800 4.4584 52 1 3.2062 -1.0344 3.0981 53 1 2.3654 -1.9523 4.3722 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 ZINC000787627882.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 06:09:50 Heat of formation + Delta-G solvation = -144.343154 kcal Electronic energy + Delta-G solvation = -29862.631778 eV Core-core repulsion = 25733.410330 eV Total energy + Delta-G solvation = -4129.221448 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.84 seconds Orbital eigenvalues (eV) -41.20074 -39.44321 -38.72832 -37.02109 -35.03872 -34.32925 -34.03563 -32.36845 -31.48451 -30.88770 -28.12785 -27.79514 -27.73862 -26.09234 -24.04176 -23.21985 -22.08854 -21.38872 -20.40472 -19.73902 -19.48607 -18.24398 -17.21325 -16.98220 -16.51342 -15.97297 -15.64786 -15.43039 -15.23026 -14.92265 -14.82074 -14.48684 -14.28397 -14.03555 -13.97742 -13.73311 -13.54303 -13.17523 -12.89136 -12.81998 -12.57348 -12.52731 -12.31024 -12.27496 -12.22560 -11.99406 -11.94003 -11.77664 -11.66711 -11.53921 -11.20664 -11.03520 -10.88891 -10.76758 -10.70747 -10.66566 -10.48110 -10.22238 -9.98097 -9.50349 -9.18452 -9.04102 -8.78649 -8.14402 -6.22464 -4.24710 1.82967 2.55562 3.24021 3.27554 3.32563 3.41097 3.47826 3.97267 4.32523 4.33170 4.37842 4.44158 4.49035 4.52294 4.58761 4.74248 4.93774 4.98680 5.07985 5.12668 5.14013 5.15674 5.18586 5.25930 5.30190 5.30420 5.37458 5.39522 5.48096 5.48193 5.50299 5.55981 5.60616 5.69414 5.77281 5.79283 5.88024 5.91735 5.95710 5.99973 6.14032 6.20023 6.24518 6.36100 6.81077 7.06234 7.06740 7.23171 7.39537 8.04982 8.13269 8.52317 8.74458 8.95159 9.37962 10.89477 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.030363 B = 0.001638 C = 0.001618 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 921.959898 B =17094.401719 C =17301.958726 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.183 4.183 2 C 0.135 3.865 3 C -0.141 4.141 4 C -0.183 4.183 5 O -0.363 6.363 6 C 0.653 3.347 7 O -0.571 6.571 8 N -0.594 5.594 9 C 0.126 3.874 10 C -0.134 4.134 11 C -0.089 4.089 12 C -0.096 4.096 13 C -0.142 4.142 14 C 0.497 3.503 15 O -0.562 6.562 16 N -0.708 5.708 17 C 0.219 3.781 18 C -0.544 4.544 19 H 0.079 0.921 20 C 0.077 3.923 21 N -0.892 5.892 22 Si 0.877 3.123 23 H -0.273 1.273 24 H -0.283 1.283 25 H -0.261 1.261 26 C -0.130 4.130 27 C 0.112 3.888 28 H 0.058 0.942 29 H 0.069 0.931 30 H 0.087 0.913 31 H 0.067 0.933 32 H 0.080 0.920 33 H 0.066 0.934 34 H 0.088 0.912 35 H 0.069 0.931 36 H 0.059 0.941 37 H 0.072 0.928 38 H 0.095 0.905 39 H 0.084 0.916 40 H 0.069 0.931 41 H 0.075 0.925 42 H 0.069 0.931 43 H 0.071 0.929 44 H 0.088 0.912 45 H 0.089 0.911 46 H 0.396 0.604 47 H 0.024 0.976 48 H 0.020 0.980 49 H 0.267 0.733 50 H 0.069 0.931 51 H 0.079 0.921 52 H 0.090 0.910 53 H 0.070 0.930 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -14.337 29.022 -10.883 34.150 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 -0.240 4.240 2 C 0.099 3.901 3 C -0.198 4.198 4 C -0.241 4.241 5 O -0.278 6.278 6 C 0.408 3.592 7 O -0.461 6.461 8 N -0.334 5.334 9 C 0.005 3.995 10 C -0.172 4.172 11 C -0.107 4.107 12 C -0.134 4.134 13 C -0.182 4.182 14 C 0.283 3.717 15 O -0.442 6.442 16 N -0.356 5.356 17 C 0.097 3.903 18 C -0.582 4.582 19 H 0.097 0.903 20 C -0.126 4.126 21 N -0.530 5.530 22 Si 0.704 3.296 23 H -0.199 1.199 24 H -0.209 1.209 25 H -0.185 1.185 26 C -0.168 4.168 27 C -0.011 4.011 28 H 0.078 0.922 29 H 0.088 0.912 30 H 0.106 0.894 31 H 0.086 0.914 32 H 0.099 0.901 33 H 0.085 0.915 34 H 0.106 0.894 35 H 0.088 0.912 36 H 0.078 0.922 37 H 0.090 0.910 38 H 0.114 0.886 39 H 0.103 0.897 40 H 0.088 0.912 41 H 0.093 0.907 42 H 0.088 0.912 43 H 0.089 0.911 44 H 0.107 0.893 45 H 0.108 0.892 46 H 0.230 0.770 47 H 0.042 0.958 48 H 0.037 0.963 49 H 0.077 0.923 50 H 0.087 0.913 51 H 0.098 0.902 52 H 0.108 0.892 53 H 0.089 0.911 Dipole moment (debyes) X Y Z Total from point charges -13.692 29.049 -11.260 34.031 hybrid contribution 0.535 -0.236 0.079 0.590 sum -13.157 28.813 -11.181 33.590 Atomic orbital electron populations 1.22510 0.94017 1.05052 1.02414 1.22073 0.94343 0.91526 0.82198 1.21859 1.02305 0.92515 1.03093 1.22512 1.01612 1.03512 0.96422 1.86291 1.71503 1.23684 1.46306 1.17977 0.78781 0.80571 0.81854 1.90887 1.41625 1.70419 1.43145 1.47005 1.52772 1.12222 1.21431 1.21682 0.96982 0.77741 1.03080 1.22155 0.96276 0.99454 0.99328 1.21259 0.96972 0.94301 0.98181 1.21338 0.96337 0.93139 1.02602 1.21725 0.97074 0.96255 1.03169 1.20637 0.90847 0.82729 0.77532 1.90640 1.28090 1.72531 1.52895 1.46224 1.11459 1.11642 1.66275 1.19477 0.84130 0.90393 0.96293 1.21107 0.95804 0.94094 1.47196 0.90265 1.24801 0.99286 0.94626 0.93926 1.69884 1.34344 1.03852 1.44885 0.86809 0.84857 0.78397 0.79583 1.19865 1.20885 1.18544 1.21984 0.96911 0.95148 1.02768 1.21769 0.91145 0.96918 0.91232 0.92247 0.91171 0.89386 0.91435 0.90148 0.91501 0.89370 0.91176 0.92153 0.91001 0.88642 0.89732 0.91192 0.90695 0.91219 0.91059 0.89319 0.89224 0.77032 0.95804 0.96260 0.92267 0.91266 0.90217 0.89174 0.91145 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -0.18 -1.40 8.37 37.16 0.31 -1.09 16 2 C 0.14 1.08 1.13 -90.62 -0.10 0.97 16 3 C -0.14 -0.76 8.85 37.16 0.33 -0.43 16 4 C -0.18 -1.48 8.37 37.16 0.31 -1.17 16 5 O -0.36 -3.54 8.53 -40.31 -0.34 -3.89 16 6 C 0.65 7.15 7.74 54.06 0.42 7.56 16 7 O -0.57 -7.37 11.29 -19.28 -0.22 -7.59 16 8 N -0.59 -5.43 2.97 -178.53 -0.53 -5.96 16 9 C 0.13 1.04 6.42 -3.71 -0.02 1.01 16 10 C -0.13 -1.08 5.16 -26.45 -0.14 -1.22 16 11 C -0.09 -0.72 2.15 -90.42 -0.19 -0.91 16 12 C -0.10 -1.07 3.97 -26.73 -0.11 -1.18 16 13 C -0.14 -1.71 5.46 -27.88 -0.15 -1.86 16 14 C 0.50 9.10 7.83 -10.98 -0.09 9.01 16 15 O -0.56 -12.51 15.98 5.56 0.09 -12.43 16 16 N -0.71 -14.10 5.55 -61.47 -0.34 -14.44 16 17 C 0.22 5.40 4.50 -5.19 -0.02 5.38 16 18 C -0.54 -14.93 9.83 -34.44 -0.34 -15.27 16 19 H 0.08 2.25 7.84 -52.48 -0.41 1.84 16 20 C 0.08 2.19 5.47 -17.82 -0.10 2.09 16 21 N -0.89 -26.47 13.96 55.43 0.77 -25.70 16 22 Si 0.88 21.49 27.47 -169.99 -4.67 16.82 16 23 H -0.27 -6.59 7.11 56.52 0.40 -6.19 16 24 H -0.28 -6.79 7.11 56.52 0.40 -6.39 16 25 H -0.26 -6.38 6.54 56.52 0.37 -6.01 16 26 C -0.13 -0.98 5.37 -26.59 -0.14 -1.12 16 27 C 0.11 0.81 6.45 -3.68 -0.02 0.78 16 28 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 29 H 0.07 0.41 8.14 -51.93 -0.42 -0.01 16 30 H 0.09 0.88 5.88 -51.93 -0.31 0.58 16 31 H 0.07 0.36 8.14 -51.93 -0.42 -0.06 16 32 H 0.08 0.31 8.14 -51.93 -0.42 -0.12 16 33 H 0.07 0.34 8.14 -51.93 -0.42 -0.08 16 34 H 0.09 0.93 5.88 -51.93 -0.31 0.62 16 35 H 0.07 0.44 8.14 -51.93 -0.42 0.01 16 36 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 37 H 0.07 0.50 8.14 -51.93 -0.42 0.07 16 38 H 0.10 0.89 7.00 -51.93 -0.36 0.53 16 39 H 0.08 0.62 6.52 -51.93 -0.34 0.28 16 40 H 0.07 0.66 8.14 -51.93 -0.42 0.23 16 41 H 0.07 0.55 8.14 -51.93 -0.42 0.12 16 42 H 0.07 0.89 8.10 -51.93 -0.42 0.47 16 43 H 0.07 0.87 8.10 -51.93 -0.42 0.44 16 44 H 0.09 0.90 8.14 -51.93 -0.42 0.48 16 45 H 0.09 0.92 6.53 -51.93 -0.34 0.58 16 46 H 0.40 6.88 8.32 -40.82 -0.34 6.54 16 47 H 0.02 0.62 7.20 -51.93 -0.37 0.25 16 48 H 0.02 0.50 7.57 -51.93 -0.39 0.11 16 49 H 0.27 7.42 8.31 -40.82 -0.34 7.08 16 50 H 0.07 0.60 8.14 -51.93 -0.42 0.18 16 51 H 0.08 0.54 8.14 -51.92 -0.42 0.12 16 52 H 0.09 0.64 6.93 -51.93 -0.36 0.28 16 53 H 0.07 0.43 8.14 -51.93 -0.42 0.01 16 LS Contribution 411.74 15.07 6.20 6.20 Total: -1.00 -33.84 411.74 -8.55 -42.39 By element: Atomic # 1 Polarization: 11.48 SS G_CDS: -9.46 Total: 2.02 kcal Atomic # 6 Polarization: 2.61 SS G_CDS: -0.06 Total: 2.55 kcal Atomic # 7 Polarization: -45.99 SS G_CDS: -0.10 Total: -46.09 kcal Atomic # 8 Polarization: -23.43 SS G_CDS: -0.47 Total: -23.90 kcal Atomic # 14 Polarization: 21.49 SS G_CDS: -4.67 Total: 16.82 kcal Total LS contribution 6.20 Total: 6.20 kcal Total: -33.84 -8.55 -42.39 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. ZINC000787627882.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 -101.955 kcal (2) G-P(sol) polarization free energy of solvation -33.839 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -135.793 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.550 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.388 kcal (6) G-S(sol) free energy of system = (1) + (5) -144.343 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.84 seconds