Wall clock time and date at job start Tue Mar 31 2020 19:44:38 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 1.53008 * 109.47196 * 2 1 4 4 C 1.52996 * 109.47173 * 119.99819 * 2 1 3 5 5 C 1.52999 * 109.47098 * 174.99798 * 4 2 1 6 6 N 1.46902 * 109.47248 * 180.02562 * 5 4 2 7 7 C 1.46856 * 110.99832 * 294.14644 * 6 5 4 8 8 C 1.53044 * 109.62364 * 173.77606 * 7 6 5 9 9 C 1.53221 * 109.20707 * 59.62852 * 8 7 6 10 10 C 1.52538 * 109.19757 * 303.22362 * 9 8 7 11 11 C 1.53730 * 110.09320 * 178.82282 * 10 9 8 12 12 C 1.51449 * 103.35977 * 118.95869 * 11 10 9 13 13 O 1.21233 * 125.41431 * 179.86257 * 12 11 10 14 14 N 1.33967 * 109.17875 * 359.59440 * 12 11 10 15 15 C 1.46493 * 122.78467 * 180.28448 * 14 12 11 16 16 C 1.53003 * 109.47207 * 89.98198 * 15 14 12 17 17 C 1.50691 * 109.47333 * 179.97438 * 16 15 14 18 18 H 1.07999 * 120.00173 * 359.97438 * 17 16 15 19 19 C 1.37884 * 120.00204 * 179.97438 * 17 16 15 20 20 N 1.31511 * 119.99672 * 359.97438 * 19 17 16 21 21 Si 1.86799 * 120.00125 * 180.02562 * 19 17 16 22 22 H 1.48503 * 109.47066 * 359.97438 * 21 19 17 23 23 H 1.48497 * 109.47411 * 119.99973 * 21 19 17 24 24 H 1.48503 * 109.46835 * 239.99535 * 21 19 17 25 25 C 1.34057 * 114.42675 * 0.26803 * 14 12 11 26 26 O 1.21223 * 125.50479 * 180.02562 * 25 14 12 27 27 C 1.46953 * 111.00103 * 170.00021 * 6 5 4 28 28 H 1.09006 * 109.47042 * 299.99945 * 1 2 3 29 29 H 1.09003 * 109.46971 * 59.99505 * 1 2 3 30 30 H 1.08991 * 109.47039 * 179.97438 * 1 2 3 31 31 H 1.08998 * 109.47053 * 240.00709 * 2 1 3 32 32 H 1.08993 * 109.46870 * 179.97438 * 3 2 1 33 33 H 1.09001 * 109.47066 * 300.00265 * 3 2 1 34 34 H 1.09004 * 109.46577 * 59.99954 * 3 2 1 35 35 H 1.09010 * 109.47123 * 55.00346 * 4 2 1 36 36 H 1.08991 * 109.47708 * 294.99953 * 4 2 1 37 37 H 1.08998 * 109.47097 * 60.00229 * 5 4 2 38 38 H 1.08997 * 109.47339 * 300.00378 * 5 4 2 39 39 H 1.09004 * 109.44678 * 293.81975 * 7 6 5 40 40 H 1.08995 * 109.44658 * 53.73081 * 7 6 5 41 41 H 1.09000 * 109.51438 * 179.54341 * 8 7 6 42 42 H 1.09001 * 109.51008 * 299.65100 * 8 7 6 43 43 H 1.09001 * 109.51340 * 183.31253 * 9 8 7 44 44 H 1.08996 * 109.52134 * 63.13877 * 9 8 7 45 45 H 1.09000 * 110.76115 * 0.43731 * 11 10 9 46 46 H 1.09002 * 110.52443 * 237.36607 * 11 10 9 47 47 H 1.09003 * 109.47224 * 209.97262 * 15 14 12 48 48 H 1.08991 * 109.47872 * 329.97639 * 15 14 12 49 49 H 1.09008 * 109.46705 * 299.99808 * 16 15 14 50 50 H 1.09005 * 109.47374 * 59.98946 * 16 15 14 51 51 H 0.97001 * 119.99769 * 179.97438 * 20 19 17 52 52 H 1.08999 * 109.45252 * 64.80787 * 27 6 5 53 53 H 1.08996 * 109.43558 * 304.86327 * 27 6 5 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 2.0400 1.4426 0.0000 4 6 2.0400 -0.7212 1.2492 5 6 3.5648 -0.8310 1.1879 6 7 4.0545 -1.5240 2.3871 7 6 3.8060 -0.7259 3.5945 8 6 4.1845 -1.5386 4.8348 9 6 5.6676 -1.9156 4.7571 10 6 5.9236 -2.6799 3.4620 11 6 7.4131 -3.0433 3.3489 12 6 7.4019 -4.5572 3.3094 13 8 8.3822 -5.2649 3.2200 14 7 6.1371 -4.9904 3.3947 15 6 5.7834 -6.4120 3.3900 16 6 5.7686 -6.9386 4.8265 17 6 5.4042 -8.4008 4.8217 18 1 5.2029 -8.9041 3.8876 19 6 5.3278 -9.0962 6.0099 20 7 5.5735 -8.4834 7.1473 21 14 4.8769 -10.9089 6.0039 22 1 4.6511 -11.3582 4.6066 23 1 5.9832 -11.6963 6.6050 24 1 3.6371 -11.1131 6.7956 25 6 5.2219 -4.0149 3.4851 26 8 4.0240 -4.1793 3.5718 27 6 5.4794 -1.8589 2.2569 28 1 -0.3633 0.5139 0.8900 29 1 -0.3633 0.5139 -0.8900 30 1 -0.3633 -1.0276 -0.0005 31 1 1.8933 -0.5137 -0.8900 32 1 3.1300 1.4425 0.0005 33 1 1.6767 1.9564 -0.8900 34 1 1.6766 1.9563 0.8900 35 1 1.6054 -1.7199 1.2951 36 1 1.7517 -0.1583 2.1369 37 1 3.9994 0.1675 1.1420 38 1 3.8532 -1.3939 0.3002 39 1 4.4069 0.1829 3.5588 40 1 2.7500 -0.4604 3.6430 41 1 4.0071 -0.9417 5.7294 42 1 3.5793 -2.4442 4.8753 43 1 5.9286 -2.5442 5.6085 44 1 6.2747 -1.0106 4.7718 45 1 7.9651 -2.6857 4.2180 46 1 7.8365 -2.6381 2.4298 47 1 4.7960 -6.5393 2.9463 48 1 6.5180 -6.9673 2.8070 49 1 6.7561 -6.8113 5.2703 50 1 5.0339 -6.3832 5.4095 51 1 5.5194 -8.9725 7.9832 52 1 6.0650 -0.9409 2.2073 53 1 5.6342 -2.4378 1.3464 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 ZINC001272449411.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 19:44:38 Heat of formation + Delta-G solvation = -86.281147 kcal Electronic energy + Delta-G solvation = -30711.319434 eV Core-core repulsion = 26775.071796 eV Total energy + Delta-G solvation = -3936.247638 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.86 seconds Orbital eigenvalues (eV) -41.92879 -39.14616 -37.92515 -36.78027 -35.41224 -34.48778 -33.14617 -32.18551 -30.04932 -29.15814 -27.54219 -27.41210 -25.21909 -24.83248 -23.89688 -22.53359 -21.77054 -21.31848 -20.25690 -20.02935 -18.35308 -16.94383 -16.34592 -16.19708 -15.95679 -15.77518 -15.63998 -15.06121 -14.65534 -14.46959 -14.30945 -14.21777 -14.09962 -13.72678 -13.57475 -13.48443 -13.04503 -12.91471 -12.85511 -12.53683 -12.49372 -12.37932 -12.30235 -12.09383 -11.77627 -11.49142 -11.41533 -11.15876 -11.07609 -10.96214 -10.94073 -10.81649 -10.75808 -10.52392 -10.46236 -10.11877 -10.05425 -9.88149 -9.40122 -9.18184 -8.79443 -8.37603 -8.35345 -6.02276 -4.05449 1.94759 3.02866 3.18541 3.32467 3.39431 3.44128 3.58540 4.19474 4.34813 4.44015 4.46611 4.48528 4.58556 4.64929 4.71850 4.92086 4.94243 4.97231 5.11504 5.16720 5.28796 5.31129 5.31910 5.34495 5.38778 5.42408 5.43905 5.47765 5.55017 5.56692 5.60882 5.65061 5.72589 5.77598 5.81761 5.88114 5.94690 6.00316 6.05397 6.09255 6.13470 6.17909 6.36845 6.41134 6.71686 6.91934 6.98910 7.32671 7.60407 7.74452 7.80943 7.94552 8.25431 8.37922 8.99838 9.58430 11.09547 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.013926 B = 0.002802 C = 0.002564 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2010.199178 B = 9991.204487 C =10919.478324 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.147 4.147 2 C -0.097 4.097 3 C -0.149 4.149 4 C -0.112 4.112 5 C 0.058 3.942 6 N -0.528 5.528 7 C 0.060 3.940 8 C -0.127 4.127 9 C -0.100 4.100 10 C -0.094 4.094 11 C -0.152 4.152 12 C 0.524 3.476 13 O -0.486 6.486 14 N -0.569 5.569 15 C 0.102 3.898 16 C 0.015 3.985 17 C -0.520 4.520 18 H 0.059 0.941 19 C 0.059 3.941 20 N -0.893 5.893 21 Si 0.897 3.103 22 H -0.272 1.272 23 H -0.283 1.283 24 H -0.283 1.283 25 C 0.538 3.462 26 O -0.449 6.449 27 C 0.081 3.919 28 H 0.053 0.947 29 H 0.052 0.948 30 H 0.056 0.944 31 H 0.069 0.931 32 H 0.054 0.946 33 H 0.051 0.949 34 H 0.053 0.947 35 H 0.074 0.926 36 H 0.063 0.937 37 H 0.034 0.966 38 H 0.071 0.929 39 H 0.029 0.971 40 H 0.078 0.922 41 H 0.069 0.931 42 H 0.092 0.908 43 H 0.075 0.925 44 H 0.075 0.925 45 H 0.119 0.881 46 H 0.114 0.886 47 H 0.080 0.920 48 H 0.079 0.921 49 H 0.021 0.979 50 H 0.021 0.979 51 H 0.261 0.739 52 H 0.048 0.952 53 H 0.078 0.922 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.342 23.671 -11.912 26.709 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 -0.204 4.204 2 C -0.116 4.116 3 C -0.206 4.206 4 C -0.150 4.150 5 C -0.070 4.070 6 N -0.252 5.252 7 C -0.068 4.068 8 C -0.165 4.165 9 C -0.138 4.138 10 C -0.098 4.098 11 C -0.192 4.192 12 C 0.312 3.688 13 O -0.358 6.358 14 N -0.312 5.312 15 C -0.017 4.017 16 C -0.023 4.023 17 C -0.558 4.558 18 H 0.077 0.923 19 C -0.143 4.143 20 N -0.531 5.531 21 Si 0.724 3.276 22 H -0.196 1.196 23 H -0.209 1.209 24 H -0.209 1.209 25 C 0.325 3.675 26 O -0.318 6.318 27 C -0.047 4.047 28 H 0.072 0.928 29 H 0.071 0.929 30 H 0.075 0.925 31 H 0.087 0.913 32 H 0.073 0.927 33 H 0.070 0.930 34 H 0.072 0.928 35 H 0.093 0.907 36 H 0.082 0.918 37 H 0.052 0.948 38 H 0.090 0.910 39 H 0.047 0.953 40 H 0.096 0.904 41 H 0.088 0.912 42 H 0.110 0.890 43 H 0.093 0.907 44 H 0.093 0.907 45 H 0.137 0.863 46 H 0.132 0.868 47 H 0.099 0.901 48 H 0.097 0.903 49 H 0.039 0.961 50 H 0.040 0.960 51 H 0.071 0.929 52 H 0.066 0.934 53 H 0.097 0.903 Dipole moment (debyes) X Y Z Total from point charges -3.761 22.684 -11.687 25.794 hybrid contribution 0.312 -0.334 0.101 0.468 sum -3.449 22.351 -11.586 25.410 Atomic orbital electron populations 1.21824 0.95150 1.01917 1.01517 1.21101 0.95826 0.96114 0.98537 1.21903 1.00988 0.96164 1.01533 1.21661 0.94554 1.01414 0.97331 1.22146 0.95811 0.96350 0.92672 1.61839 1.15793 1.45105 1.02502 1.22092 1.01121 0.93655 0.89888 1.21738 0.95991 1.02119 0.96650 1.21463 0.97927 0.99627 0.94788 1.21142 0.94361 0.95418 0.98901 1.22577 0.96332 0.93768 1.06546 1.20643 0.82656 0.91030 0.74462 1.90756 1.36129 1.63146 1.45788 1.47078 1.08895 1.10882 1.64296 1.22203 1.01065 0.75370 1.03042 1.19366 0.97850 0.96289 0.88802 1.21052 1.47458 0.94277 0.93051 0.92279 1.24999 0.95186 0.98600 0.95498 1.69980 1.49161 1.36375 0.97624 0.86461 0.78045 0.84878 0.78187 1.19606 1.20942 1.20929 1.20114 0.86530 0.85897 0.74970 1.90714 1.12912 1.85019 1.43122 1.21818 0.88792 0.97969 0.96166 0.92755 0.92916 0.92501 0.91265 0.92655 0.92974 0.92812 0.90721 0.91848 0.94826 0.91012 0.95305 0.90385 0.91227 0.88975 0.90668 0.90687 0.86318 0.86761 0.90123 0.90256 0.96106 0.96022 0.92945 0.93393 0.90327 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 -0.15 -1.02 9.19 37.16 0.34 -0.68 16 2 C -0.10 -0.70 2.92 -90.62 -0.26 -0.96 16 3 C -0.15 -0.94 8.95 37.16 0.33 -0.61 16 4 C -0.11 -0.96 4.61 -26.73 -0.12 -1.09 16 5 C 0.06 0.51 4.72 -3.82 -0.02 0.49 16 6 N -0.53 -5.74 4.02 -234.95 -0.95 -6.69 16 7 C 0.06 0.59 5.28 -3.83 -0.02 0.57 16 8 C -0.13 -1.43 5.81 -26.59 -0.15 -1.59 16 9 C -0.10 -1.09 4.58 -26.85 -0.12 -1.21 16 10 C -0.09 -1.13 0.69 -155.74 -0.11 -1.24 16 11 C -0.15 -1.69 6.30 -27.14 -0.17 -1.87 16 12 C 0.52 8.94 8.09 -10.98 -0.09 8.85 16 13 O -0.49 -9.97 17.48 5.60 0.10 -9.87 16 14 N -0.57 -10.68 2.56 -115.41 -0.30 -10.97 16 15 C 0.10 2.26 5.50 -4.04 -0.02 2.24 16 16 C 0.01 0.40 5.30 -27.89 -0.15 0.25 16 17 C -0.52 -15.07 9.11 -34.44 -0.31 -15.38 16 18 H 0.06 1.65 7.74 -52.49 -0.41 1.24 16 19 C 0.06 1.73 5.46 -17.82 -0.10 1.63 16 20 N -0.89 -27.39 13.29 55.43 0.74 -26.65 16 21 Si 0.90 22.10 29.54 -169.99 -5.02 17.08 16 22 H -0.27 -6.52 7.11 56.52 0.40 -6.12 16 23 H -0.28 -6.90 7.11 56.52 0.40 -6.49 16 24 H -0.28 -6.89 7.11 56.52 0.40 -6.49 16 25 C 0.54 9.20 6.52 -11.24 -0.07 9.12 16 26 O -0.45 -8.96 15.02 5.61 0.08 -8.87 16 27 C 0.08 0.82 4.01 -4.08 -0.02 0.80 16 28 H 0.05 0.37 8.14 -51.93 -0.42 -0.05 16 29 H 0.05 0.33 8.14 -51.93 -0.42 -0.09 16 30 H 0.06 0.42 8.14 -51.93 -0.42 0.00 16 31 H 0.07 0.51 8.14 -51.93 -0.42 0.08 16 32 H 0.05 0.34 6.56 -51.93 -0.34 0.00 16 33 H 0.05 0.30 8.14 -51.93 -0.42 -0.12 16 34 H 0.05 0.34 8.14 -51.93 -0.42 -0.08 16 35 H 0.07 0.78 8.14 -51.92 -0.42 0.36 16 36 H 0.06 0.54 6.42 -51.93 -0.33 0.21 16 37 H 0.03 0.26 6.55 -51.93 -0.34 -0.08 16 38 H 0.07 0.64 8.00 -51.93 -0.42 0.22 16 39 H 0.03 0.25 8.14 -51.93 -0.42 -0.18 16 40 H 0.08 0.75 6.20 -51.93 -0.32 0.42 16 41 H 0.07 0.66 8.14 -51.93 -0.42 0.24 16 42 H 0.09 1.36 6.26 -51.93 -0.33 1.04 16 43 H 0.07 0.91 8.14 -51.93 -0.42 0.49 16 44 H 0.07 0.61 8.14 -51.93 -0.42 0.19 16 45 H 0.12 1.12 7.71 -51.93 -0.40 0.72 16 46 H 0.11 0.95 7.72 -51.93 -0.40 0.55 16 47 H 0.08 1.77 7.84 -51.93 -0.41 1.36 16 48 H 0.08 1.74 7.83 -51.93 -0.41 1.33 16 49 H 0.02 0.60 8.14 -51.92 -0.42 0.18 16 50 H 0.02 0.63 8.14 -51.93 -0.42 0.20 16 51 H 0.26 7.50 8.31 -40.82 -0.34 7.16 16 52 H 0.05 0.38 8.14 -51.93 -0.42 -0.04 16 53 H 0.08 0.80 8.03 -51.93 -0.42 0.38 16 LS Contribution 409.43 15.07 6.17 6.17 Total: -1.00 -34.03 409.43 -9.81 -43.84 By element: Atomic # 1 Polarization: 6.20 SS G_CDS: -9.57 Total: -3.37 kcal Atomic # 6 Polarization: 0.41 SS G_CDS: -1.07 Total: -0.66 kcal Atomic # 7 Polarization: -43.81 SS G_CDS: -0.50 Total: -44.31 kcal Atomic # 8 Polarization: -18.93 SS G_CDS: 0.18 Total: -18.74 kcal Atomic # 14 Polarization: 22.10 SS G_CDS: -5.02 Total: 17.08 kcal Total LS contribution 6.17 Total: 6.17 kcal Total: -34.03 -9.81 -43.84 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. ZINC001272449411.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 -42.444 kcal (2) G-P(sol) polarization free energy of solvation -34.028 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -76.471 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.810 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.837 kcal (6) G-S(sol) free energy of system = (1) + (5) -86.281 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.86 seconds