Wall clock time and date at job start Tue Mar 31 2020 12:46:38 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 1.52999 * 1 3 3 C 1.52997 * 109.46929 * 2 1 4 4 C 1.53001 * 109.47085 * 119.99573 * 2 1 3 5 5 C 1.53002 * 109.46942 * 65.00279 * 4 2 1 6 6 H 1.09005 * 109.47328 * 305.00039 * 5 4 2 7 7 C 1.53001 * 109.47158 * 65.00015 * 5 4 2 8 8 C 1.53001 * 109.47202 * 185.00184 * 5 4 2 9 9 C 1.53000 * 109.47185 * 174.99854 * 8 5 4 10 10 H 1.09007 * 109.46791 * 54.99967 * 9 8 5 11 11 C 1.53005 * 109.47014 * 174.99552 * 9 8 5 12 12 N 1.46894 * 109.47253 * 295.00187 * 9 8 5 13 13 C 1.46898 * 111.00061 * 155.00076 * 12 9 8 14 14 C 1.50699 * 109.47073 * 179.97438 * 13 12 9 15 15 C 1.38303 * 119.93178 * 269.72378 * 14 13 12 16 16 C 1.38102 * 120.07016 * 179.72113 * 15 14 13 17 17 C 1.38879 * 119.93059 * 0.57851 * 16 15 14 18 18 O 1.35744 * 120.07041 * 179.67768 * 17 16 15 19 19 C 1.34829 * 117.00210 * 174.48132 * 18 17 16 20 20 H 1.08001 * 120.00035 * 5.06208 * 19 18 17 21 21 C 1.38651 * 120.00042 * 185.05551 * 19 18 17 22 22 N 1.31556 * 120.00335 * 0.02562 * 21 19 18 23 23 Si 1.86808 * 119.99924 * 180.02562 * 21 19 18 24 24 H 1.48496 * 109.46792 * 90.00420 * 23 21 19 25 25 H 1.48494 * 109.46986 * 210.00385 * 23 21 19 26 26 H 1.48501 * 109.47069 * 330.00565 * 23 21 19 27 27 C 1.38881 * 119.85801 * 359.69538 * 17 16 15 28 28 C 1.38099 * 119.93237 * 0.02562 * 27 17 16 29 29 H 1.09003 * 109.46801 * 60.00718 * 1 2 3 30 30 H 1.09006 * 109.46824 * 180.02562 * 1 2 3 31 31 H 1.08997 * 109.47423 * 300.00179 * 1 2 3 32 32 H 1.08997 * 109.47423 * 239.99821 * 2 1 3 33 33 H 1.09006 * 109.47043 * 180.02562 * 3 2 1 34 34 H 1.09004 * 109.47250 * 299.99560 * 3 2 1 35 35 H 1.09005 * 109.47536 * 59.99668 * 3 2 1 36 36 H 1.09000 * 109.47196 * 305.00628 * 4 2 1 37 37 H 1.09001 * 109.47475 * 184.99859 * 4 2 1 38 38 H 1.09001 * 109.47165 * 299.99711 * 7 5 4 39 39 H 1.08995 * 109.46911 * 59.99817 * 7 5 4 40 40 H 1.09002 * 109.47210 * 180.02562 * 7 5 4 41 41 H 1.08994 * 109.47282 * 54.99953 * 8 5 4 42 42 H 1.09000 * 109.47013 * 294.99765 * 8 5 4 43 43 H 1.09002 * 109.46575 * 60.00405 * 11 9 8 44 44 H 1.08996 * 109.46469 * 179.97438 * 11 9 8 45 45 H 1.09000 * 109.47302 * 300.00391 * 11 9 8 46 46 H 1.00906 * 110.99471 * 278.95124 * 12 9 8 47 47 H 1.08994 * 109.46980 * 299.99646 * 13 12 9 48 48 H 1.08997 * 109.47138 * 59.99947 * 13 12 9 49 49 H 1.08001 * 119.96427 * 359.97438 * 15 14 13 50 50 H 1.07999 * 120.03168 * 180.27326 * 16 15 14 51 51 H 0.96995 * 120.00392 * 180.02562 * 22 21 19 52 52 H 1.08000 * 120.02763 * 179.97438 * 27 17 16 53 53 H 1.07998 * 119.96282 * 179.97438 * 28 27 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 1.5300 0.0000 0.0000 3 6 2.0399 1.4425 0.0000 4 6 2.0400 -0.7212 1.2493 5 6 1.6353 -2.1954 1.1881 6 1 0.5563 -2.2707 1.0528 7 6 2.3449 -2.8707 0.0128 8 6 2.0353 -2.8887 2.4920 9 6 1.5207 -4.3295 2.4822 10 1 1.8841 -4.8391 1.5897 11 6 2.0261 -5.0601 3.7280 12 7 0.0517 -4.3248 2.4794 13 6 -0.4775 -5.5625 1.8912 14 6 -1.9839 -5.5216 1.9061 15 6 -2.6771 -6.0214 2.9935 16 6 -4.0574 -5.9801 3.0127 17 6 -4.7497 -5.4469 1.9333 18 8 -6.1066 -5.4109 1.9463 19 6 -6.7121 -4.7783 0.9211 20 1 -6.1248 -4.4007 0.0971 21 6 -8.0887 -4.6126 0.9246 22 7 -8.8040 -5.0721 1.9284 23 14 -8.9275 -3.7366 -0.4963 24 1 -9.2987 -4.7272 -1.5384 25 1 -10.1510 -3.0541 -0.0039 26 1 -7.9997 -2.7324 -1.0758 27 6 -4.0509 -4.9511 0.8404 28 6 -2.6705 -4.9900 0.8298 29 1 -0.3633 0.5137 -0.8901 30 1 -0.3633 -1.0277 0.0005 31 1 -0.3634 0.5138 0.8899 32 1 1.8934 -0.5138 -0.8899 33 1 3.1300 1.4425 -0.0005 34 1 1.6766 1.9563 -0.8900 35 1 1.6766 1.9564 0.8900 36 1 1.6053 -0.2617 2.1370 37 1 3.1263 -0.6443 1.2953 38 1 2.0599 -2.3768 -0.9162 39 1 3.4238 -2.7954 0.1481 40 1 2.0562 -3.9209 -0.0311 41 1 1.6008 -2.3535 3.3362 42 1 3.1214 -2.8915 2.5836 43 1 1.6626 -4.5505 4.6204 44 1 1.6590 -6.0863 3.7212 45 1 3.1161 -5.0635 3.7300 46 1 -0.3111 -4.1828 3.4101 47 1 -0.1264 -5.6555 0.8636 48 1 -0.1319 -6.4176 2.4721 49 1 -2.1383 -6.4406 3.8304 50 1 -4.5979 -6.3665 3.8641 51 1 -9.7671 -4.9566 1.9306 52 1 -4.5865 -4.5362 -0.0007 53 1 -2.1265 -4.6049 -0.0201 RHF calculation, no. of doubly occupied orbitals= 62 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 ZINC000780728703.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 12:46:38 Heat of formation + Delta-G solvation = -42.670704 kcal Electronic energy + Delta-G solvation = -26890.141961 eV Core-core repulsion = 23339.893516 eV Total energy + Delta-G solvation = -3550.248445 eV No. of doubly occupied orbitals = 62 Molecular weight (most abundant/longest-lived isotopes) = 319.225 amu Computer time = 0.91 seconds Orbital eigenvalues (eV) -39.14156 -38.56169 -37.12009 -36.10309 -33.46783 -32.29809 -31.13059 -30.12813 -28.37657 -27.25483 -26.94004 -26.51984 -25.50948 -23.88571 -21.95724 -21.66991 -20.49368 -20.05679 -19.40093 -17.95348 -16.93446 -15.90341 -15.58127 -15.34239 -14.83948 -14.58804 -14.40475 -14.24495 -14.09252 -13.78112 -13.56866 -13.55501 -13.21305 -12.99635 -12.69753 -12.67137 -12.57634 -12.46321 -12.26519 -12.00984 -11.74546 -11.70517 -11.54065 -11.48977 -11.38419 -11.22635 -11.11811 -10.76393 -10.74048 -10.65617 -10.48712 -10.41924 -10.40356 -10.25372 -10.08338 -9.30345 -8.81629 -8.24162 -8.12992 -7.15039 -6.43326 -4.02031 2.25222 2.32948 3.13860 3.15101 3.19899 3.98356 4.27872 4.49419 4.71241 4.74999 4.82540 4.91301 5.01312 5.10179 5.12567 5.21187 5.27774 5.29940 5.37007 5.41891 5.47746 5.50083 5.54187 5.57379 5.61060 5.70959 5.74869 5.78953 5.79518 5.82084 5.86356 5.89689 5.92427 5.95209 5.97128 6.00445 6.07771 6.21108 6.22960 6.24303 6.26602 6.43145 6.46602 6.63116 6.73369 6.94348 7.06856 7.20696 7.25786 7.44024 7.47051 7.56905 7.86340 8.02090 9.02603 9.73142 10.74857 Molecular weight = 319.23amu Principal moments of inertia in cm(-1) A = 0.011237 B = 0.002876 C = 0.002386 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2491.112449 B = 9733.618128 C =11734.218649 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.150 4.150 2 C -0.098 4.098 3 C -0.147 4.147 4 C -0.109 4.109 5 C -0.090 4.090 6 H 0.093 0.907 7 C -0.146 4.146 8 C -0.099 4.099 9 C 0.079 3.921 10 H 0.077 0.923 11 C -0.183 4.183 12 N -0.675 5.675 13 C 0.119 3.881 14 C -0.183 4.183 15 C -0.069 4.069 16 C -0.194 4.194 17 C 0.155 3.845 18 O -0.179 6.179 19 C -0.391 4.391 20 H 0.092 0.908 21 C 0.039 3.961 22 N -0.864 5.864 23 Si 0.940 3.060 24 H -0.273 1.273 25 H -0.277 1.277 26 H -0.267 1.267 27 C -0.235 4.235 28 C -0.049 4.049 29 H 0.049 0.951 30 H 0.064 0.936 31 H 0.052 0.948 32 H 0.069 0.931 33 H 0.050 0.950 34 H 0.051 0.949 35 H 0.052 0.948 36 H 0.059 0.941 37 H 0.054 0.946 38 H 0.052 0.948 39 H 0.045 0.955 40 H 0.053 0.947 41 H 0.060 0.940 42 H 0.056 0.944 43 H 0.056 0.944 44 H 0.053 0.947 45 H 0.056 0.944 46 H 0.341 0.659 47 H 0.067 0.933 48 H 0.025 0.975 49 H 0.106 0.894 50 H 0.115 0.885 51 H 0.270 0.730 52 H 0.125 0.875 53 H 0.106 0.894 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 22.852 5.887 -1.280 23.633 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 -0.207 4.207 2 C -0.116 4.116 3 C -0.205 4.205 4 C -0.146 4.146 5 C -0.108 4.108 6 H 0.111 0.889 7 C -0.203 4.203 8 C -0.137 4.137 9 C -0.031 4.031 10 H 0.095 0.905 11 C -0.242 4.242 12 N -0.306 5.306 13 C -0.009 4.009 14 C -0.184 4.184 15 C -0.088 4.088 16 C -0.213 4.213 17 C 0.101 3.899 18 O -0.082 6.082 19 C -0.467 4.467 20 H 0.109 0.891 21 C -0.165 4.165 22 N -0.499 5.499 23 Si 0.765 3.235 24 H -0.199 1.199 25 H -0.203 1.203 26 H -0.192 1.192 27 C -0.254 4.254 28 C -0.067 4.067 29 H 0.068 0.932 30 H 0.083 0.917 31 H 0.072 0.928 32 H 0.088 0.912 33 H 0.069 0.931 34 H 0.070 0.930 35 H 0.071 0.929 36 H 0.078 0.922 37 H 0.073 0.927 38 H 0.071 0.929 39 H 0.064 0.936 40 H 0.072 0.928 41 H 0.079 0.921 42 H 0.075 0.925 43 H 0.075 0.925 44 H 0.072 0.928 45 H 0.075 0.925 46 H 0.159 0.841 47 H 0.086 0.914 48 H 0.044 0.956 49 H 0.124 0.876 50 H 0.133 0.867 51 H 0.079 0.921 52 H 0.143 0.857 53 H 0.124 0.876 Dipole moment (debyes) X Y Z Total from point charges 22.382 6.152 -1.648 23.271 hybrid contribution -0.249 -0.197 0.037 0.320 sum 22.133 5.954 -1.611 22.977 Atomic orbital electron populations 1.21894 0.94949 1.02511 1.01360 1.21157 0.96192 0.95591 0.98706 1.21855 1.00506 0.96554 1.01562 1.21695 0.99979 0.95425 0.97529 1.21135 1.02307 0.93200 0.94147 0.88858 1.21900 0.99556 1.00563 0.98329 1.21589 0.99238 0.94913 0.97994 1.21663 0.88471 0.95851 0.97164 0.90492 1.22523 1.01556 1.00823 0.99318 1.60671 1.05390 1.36978 1.27589 1.20623 0.91674 0.89727 0.98907 1.19125 0.93571 1.08746 0.96945 1.20471 0.93070 0.98485 0.96776 1.20164 0.93413 1.09001 0.98758 1.19393 0.84874 0.92663 0.92926 1.83973 1.12992 1.65853 1.45419 1.21326 0.90559 1.35840 0.98978 0.89072 1.25280 0.95428 0.97357 0.98445 1.70036 1.06823 1.43065 1.29981 0.85727 0.78956 0.79185 0.79673 1.19898 1.20261 1.19151 1.21163 0.94275 1.09390 1.00591 1.20552 0.93243 0.96121 0.96832 0.93231 0.91747 0.92838 0.91237 0.93107 0.92990 0.92859 0.92241 0.92744 0.92889 0.93578 0.92781 0.92137 0.92538 0.92532 0.92808 0.92471 0.84100 0.91432 0.95640 0.87613 0.86722 0.92053 0.85685 0.87589 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -0.15 -1.50 8.95 37.16 0.33 -1.17 16 2 C -0.10 -0.87 2.78 -90.62 -0.25 -1.12 16 3 C -0.15 -1.18 9.19 37.16 0.34 -0.84 16 4 C -0.11 -0.96 4.15 -26.73 -0.11 -1.07 16 5 C -0.09 -0.85 2.20 -90.62 -0.20 -1.05 16 6 H 0.09 1.09 5.82 -51.93 -0.30 0.79 16 7 C -0.15 -1.31 8.72 37.16 0.32 -0.98 16 8 C -0.10 -0.90 4.36 -26.73 -0.12 -1.01 16 9 C 0.08 0.75 2.45 -67.71 -0.17 0.59 16 10 H 0.08 0.76 6.00 -51.92 -0.31 0.45 16 11 C -0.18 -1.59 9.16 37.16 0.34 -1.25 16 12 N -0.68 -7.94 5.61 -108.00 -0.61 -8.54 16 13 C 0.12 1.55 5.61 -4.98 -0.03 1.52 16 14 C -0.18 -3.04 5.40 -104.58 -0.56 -3.61 16 15 C -0.07 -1.22 9.69 -39.61 -0.38 -1.60 16 16 C -0.19 -4.10 9.99 -39.39 -0.39 -4.50 16 17 C 0.16 3.77 6.65 -39.11 -0.26 3.51 16 18 O -0.18 -5.15 9.76 0.07 0.00 -5.15 16 19 C -0.39 -10.99 9.49 30.88 0.29 -10.70 16 20 H 0.09 2.38 5.20 -52.49 -0.27 2.11 16 21 C 0.04 1.08 5.49 -17.52 -0.10 0.98 16 22 N -0.86 -25.50 13.67 55.48 0.76 -24.74 16 23 Si 0.94 20.65 29.55 -169.99 -5.02 15.63 16 24 H -0.27 -5.85 7.11 56.52 0.40 -5.45 16 25 H -0.28 -5.97 7.11 56.52 0.40 -5.56 16 26 H -0.27 -5.64 7.11 56.52 0.40 -5.24 16 27 C -0.23 -5.13 9.17 -39.39 -0.36 -5.49 16 28 C -0.05 -0.89 9.69 -39.61 -0.38 -1.28 16 29 H 0.05 0.47 8.14 -51.93 -0.42 0.05 16 30 H 0.06 0.71 6.46 -51.93 -0.34 0.38 16 31 H 0.05 0.55 8.14 -51.93 -0.42 0.12 16 32 H 0.07 0.62 6.34 -51.93 -0.33 0.29 16 33 H 0.05 0.37 8.14 -51.93 -0.42 -0.05 16 34 H 0.05 0.40 8.14 -51.93 -0.42 -0.02 16 35 H 0.05 0.42 8.14 -51.93 -0.42 0.00 16 36 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 37 H 0.05 0.45 8.14 -51.93 -0.42 0.03 16 38 H 0.05 0.47 6.46 -51.93 -0.34 0.14 16 39 H 0.05 0.37 8.14 -51.93 -0.42 -0.05 16 40 H 0.05 0.51 6.46 -51.93 -0.34 0.17 16 41 H 0.06 0.58 8.14 -51.93 -0.42 0.16 16 42 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 43 H 0.06 0.49 8.13 -51.93 -0.42 0.07 16 44 H 0.05 0.49 7.45 -51.93 -0.39 0.10 16 45 H 0.06 0.44 8.14 -51.93 -0.42 0.02 16 46 H 0.34 4.13 8.46 -39.29 -0.33 3.79 16 47 H 0.07 0.86 8.00 -51.93 -0.42 0.45 16 48 H 0.03 0.32 7.37 -51.93 -0.38 -0.07 16 49 H 0.11 1.56 8.06 -52.49 -0.42 1.14 16 50 H 0.11 2.36 8.06 -52.49 -0.42 1.93 16 51 H 0.27 7.29 8.31 -40.82 -0.34 6.95 16 52 H 0.13 2.75 5.64 -52.49 -0.30 2.46 16 53 H 0.11 1.72 8.06 -52.49 -0.42 1.30 16 LS Contribution 412.92 15.07 6.22 6.22 Total: -1.00 -29.18 412.92 -9.84 -39.02 By element: Atomic # 1 Polarization: 16.13 SS G_CDS: -9.51 Total: 6.62 kcal Atomic # 6 Polarization: -27.38 SS G_CDS: -1.68 Total: -29.06 kcal Atomic # 7 Polarization: -33.44 SS G_CDS: 0.15 Total: -33.29 kcal Atomic # 8 Polarization: -5.15 SS G_CDS: 0.00 Total: -5.15 kcal Atomic # 14 Polarization: 20.65 SS G_CDS: -5.02 Total: 15.63 kcal Total LS contribution 6.22 Total: 6.22 kcal Total: -29.18 -9.84 -39.02 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. ZINC000780728703.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 -3.646 kcal (2) G-P(sol) polarization free energy of solvation -29.180 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -32.826 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.845 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.024 kcal (6) G-S(sol) free energy of system = (1) + (5) -42.671 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.91 seconds