Wall clock time and date at job start Tue Mar 31 2020 19:46:24 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 1.53002 * 1 3 3 C 1.52999 * 109.47251 * 2 1 4 4 C 1.53007 * 109.46875 * 119.99682 * 2 1 3 5 5 C 1.53000 * 109.47104 * 175.00022 * 4 2 1 6 6 N 1.46502 * 109.46872 * 180.02562 * 5 4 2 7 7 C 1.33872 * 122.75883 * 89.97759 * 6 5 4 8 8 O 1.21219 * 125.40371 * 0.02562 * 7 6 5 9 9 C 1.51324 * 109.20207 * 179.97438 * 7 6 5 10 10 C 1.54227 * 103.55707 * 359.97438 * 9 7 6 11 11 H 1.08993 * 110.60755 * 118.66953 * 10 9 7 12 12 N 1.46899 * 110.60428 * 241.48577 * 10 9 7 13 13 C 1.46854 * 110.99737 * 292.75248 * 12 10 9 14 14 C 1.53034 * 109.52158 * 185.84244 * 13 12 10 15 15 C 1.53122 * 109.27861 * 300.82219 * 14 13 12 16 16 C 1.52999 * 109.52109 * 177.56146 * 15 14 13 17 17 C 1.50699 * 109.46826 * 174.99974 * 16 15 14 18 18 H 1.07997 * 120.00555 * 0.02562 * 17 16 15 19 19 C 1.37886 * 119.99829 * 180.02562 * 17 16 15 20 20 N 1.31511 * 120.00126 * 359.97438 * 19 17 16 21 21 Si 1.86798 * 119.99658 * 180.02562 * 19 17 16 22 22 H 1.48498 * 109.47577 * 359.97438 * 21 19 17 23 23 H 1.48501 * 109.46968 * 239.99222 * 21 19 17 24 24 H 1.48506 * 109.47030 * 119.99798 * 21 19 17 25 25 C 1.53117 * 109.16030 * 57.65545 * 15 14 13 26 26 C 1.46848 * 111.00290 * 56.96500 * 12 10 9 27 27 C 1.34221 * 122.71074 * 270.07178 * 6 5 4 28 28 O 1.21229 * 125.58195 * 0.02562 * 27 6 5 29 29 H 1.08996 * 109.47147 * 300.00381 * 1 2 3 30 30 H 1.09001 * 109.46756 * 60.00259 * 1 2 3 31 31 H 1.08991 * 109.47311 * 180.02562 * 1 2 3 32 32 H 1.09002 * 109.47365 * 239.99248 * 2 1 3 33 33 H 1.08996 * 109.46818 * 299.99158 * 3 2 1 34 34 H 1.08996 * 109.47356 * 59.99747 * 3 2 1 35 35 H 1.09006 * 109.47193 * 179.97438 * 3 2 1 36 36 H 1.09006 * 109.46826 * 54.99711 * 4 2 1 37 37 H 1.09000 * 109.47128 * 295.00028 * 4 2 1 38 38 H 1.08994 * 109.47168 * 59.99956 * 5 4 2 39 39 H 1.09000 * 109.47132 * 300.00003 * 5 4 2 40 40 H 1.08999 * 110.60536 * 241.48051 * 9 7 6 41 41 H 1.09003 * 110.60322 * 118.51730 * 9 7 6 42 42 H 1.09001 * 109.45619 * 65.82706 * 13 12 10 43 43 H 1.08997 * 109.45386 * 305.85233 * 13 12 10 44 44 H 1.08997 * 109.50057 * 180.88299 * 14 13 12 45 45 H 1.09001 * 109.53942 * 60.78332 * 14 13 12 46 46 H 1.09004 * 109.52166 * 297.68758 * 15 14 13 47 47 H 1.08996 * 109.47137 * 55.00216 * 16 15 14 48 48 H 1.08999 * 109.47189 * 294.99644 * 16 15 14 49 49 H 0.97001 * 119.99717 * 0.02562 * 20 19 17 50 50 H 1.08996 * 109.50413 * 62.28702 * 25 15 14 51 51 H 1.08999 * 109.50289 * 182.40716 * 25 15 14 52 52 H 1.09001 * 109.45914 * 294.17622 * 26 12 10 53 53 H 1.08999 * 109.46288 * 54.15623 * 26 12 10 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 1.4425 0.0000 4 6 2.0400 -0.7212 1.2494 5 6 3.5648 -0.8310 1.1881 6 7 4.0530 -1.5222 2.3841 7 6 4.2014 -2.8513 2.4428 8 8 3.9587 -3.6255 1.5421 9 6 4.7215 -3.2341 3.8113 10 6 4.8498 -1.8813 4.5407 11 1 4.2043 -1.8561 5.4186 12 7 6.2463 -1.6289 4.9202 13 6 6.6926 -2.5795 5.9467 14 6 8.0966 -2.1978 6.4212 15 6 9.0564 -2.2182 5.2283 16 6 10.4489 -1.7786 5.6849 17 6 11.4194 -1.9161 4.5403 18 1 11.0773 -2.2802 3.5829 19 6 12.7445 -1.5771 4.7154 20 7 13.1611 -1.1332 5.8811 21 14 13.9473 -1.7469 3.2964 22 1 13.2333 -2.2635 2.1012 23 1 15.0280 -2.6928 3.6742 24 1 14.5372 -0.4199 2.9860 25 6 8.5427 -1.2561 4.1536 26 6 7.1258 -1.6650 3.7448 27 6 4.3861 -0.8739 3.5112 28 8 4.3275 0.3253 3.6788 29 1 -0.3633 0.5139 0.8899 30 1 -0.3633 0.5138 -0.8900 31 1 -0.3633 -1.0276 0.0005 32 1 1.8934 -0.5139 -0.8899 33 1 1.6768 1.9562 -0.8900 34 1 1.6767 1.9563 0.8899 35 1 3.1301 1.4425 0.0005 36 1 1.6052 -1.7198 1.2953 37 1 1.7516 -0.1582 2.1370 38 1 3.9994 0.1674 1.1422 39 1 3.8532 -1.3940 0.3005 40 1 5.6941 -3.7195 3.7301 41 1 4.0103 -3.8813 4.3247 42 1 6.7120 -3.5851 5.5266 43 1 6.0039 -2.5518 6.7911 44 1 8.4338 -2.9126 7.1718 45 1 8.0757 -1.1978 6.8545 46 1 9.1086 -3.2275 4.8200 47 1 10.7742 -2.4062 6.5145 48 1 10.4136 -0.7382 6.0083 49 1 12.5363 -1.0447 6.6179 50 1 8.5283 -0.2411 4.5507 51 1 9.1987 -1.2980 3.2841 52 1 7.1432 -2.6749 3.3350 53 1 6.7519 -0.9732 2.9900 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 ZINC000579353759.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 19:46:24 Heat of formation + Delta-G solvation = -91.301372 kcal Electronic energy + Delta-G solvation = -30392.585654 eV Core-core repulsion = 26456.120322 eV Total energy + Delta-G solvation = -3936.465332 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.87 seconds Orbital eigenvalues (eV) -42.38650 -39.10924 -38.63311 -37.27913 -36.02736 -34.97330 -33.00561 -31.44590 -30.63877 -29.14220 -27.56406 -27.53521 -25.80506 -24.19738 -23.67988 -23.02140 -22.28323 -20.84111 -20.45789 -19.63770 -19.07121 -17.55889 -17.33480 -16.74830 -16.67106 -15.73387 -15.37090 -15.29029 -14.99418 -14.80056 -14.21602 -14.15801 -13.99893 -13.95497 -13.76653 -13.64016 -13.51039 -13.23740 -12.86615 -12.74948 -12.63889 -12.34223 -12.27288 -12.04771 -11.78790 -11.53752 -11.47422 -11.22100 -11.17064 -11.06734 -10.99578 -10.85566 -10.72464 -10.64313 -10.20937 -10.14386 -9.97520 -9.95441 -9.74286 -9.41121 -8.51333 -8.42125 -8.29700 -6.33151 -4.01820 1.24559 2.18578 2.39751 3.44276 3.48052 3.51622 3.60732 3.90660 3.98860 4.09949 4.34746 4.41619 4.49157 4.55413 4.62603 4.75240 4.98418 5.01251 5.07621 5.09891 5.11761 5.14393 5.20814 5.25593 5.31273 5.37181 5.40961 5.45448 5.47437 5.50878 5.59593 5.62456 5.65656 5.73627 5.77580 5.90363 5.92005 5.97972 6.01571 6.19551 6.33811 6.45426 6.52767 6.75716 6.83180 6.96679 6.97764 7.02462 7.08292 7.40762 7.52897 7.57813 8.24806 8.49675 8.91966 9.69892 11.07398 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.015841 B = 0.002513 C = 0.002369 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1767.123146 B =11138.171954 C =11818.483471 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C -0.093 4.093 3 C -0.152 4.152 4 C -0.129 4.129 5 C 0.096 3.904 6 N -0.575 5.575 7 C 0.533 3.467 8 O -0.484 6.484 9 C -0.199 4.199 10 C 0.053 3.947 11 H 0.132 0.868 12 N -0.508 5.508 13 C 0.059 3.941 14 C -0.114 4.114 15 C -0.075 4.075 16 C 0.015 3.985 17 C -0.596 4.596 18 H 0.049 0.951 19 C 0.013 3.987 20 N -0.916 5.916 21 Si 1.071 2.929 22 H -0.290 1.290 23 H -0.288 1.288 24 H -0.288 1.288 25 C -0.097 4.097 26 C 0.047 3.953 27 C 0.536 3.464 28 O -0.458 6.458 29 H 0.055 0.945 30 H 0.056 0.944 31 H 0.054 0.946 32 H 0.073 0.927 33 H 0.056 0.944 34 H 0.057 0.943 35 H 0.057 0.943 36 H 0.068 0.932 37 H 0.069 0.931 38 H 0.096 0.904 39 H 0.093 0.907 40 H 0.124 0.876 41 H 0.123 0.877 42 H 0.037 0.963 43 H 0.074 0.926 44 H 0.065 0.935 45 H 0.068 0.932 46 H 0.054 0.946 47 H 0.006 0.994 48 H 0.008 0.992 49 H 0.269 0.731 50 H 0.065 0.935 51 H 0.077 0.923 52 H 0.036 0.964 53 H 0.062 0.938 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -25.600 -1.373 -6.759 26.513 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 -0.112 4.112 3 C -0.209 4.209 4 C -0.167 4.167 5 C -0.025 4.025 6 N -0.320 5.320 7 C 0.322 3.678 8 O -0.355 6.355 9 C -0.241 4.241 10 C -0.059 4.059 11 H 0.150 0.850 12 N -0.233 5.233 13 C -0.068 4.068 14 C -0.152 4.152 15 C -0.094 4.094 16 C -0.022 4.022 17 C -0.634 4.634 18 H 0.067 0.933 19 C -0.191 4.191 20 N -0.552 5.552 21 Si 0.900 3.100 22 H -0.216 1.216 23 H -0.214 1.214 24 H -0.214 1.214 25 C -0.134 4.134 26 C -0.081 4.081 27 C 0.323 3.677 28 O -0.325 6.325 29 H 0.074 0.926 30 H 0.075 0.925 31 H 0.073 0.927 32 H 0.092 0.908 33 H 0.075 0.925 34 H 0.076 0.924 35 H 0.076 0.924 36 H 0.087 0.913 37 H 0.088 0.912 38 H 0.115 0.885 39 H 0.111 0.889 40 H 0.142 0.858 41 H 0.141 0.859 42 H 0.056 0.944 43 H 0.093 0.907 44 H 0.083 0.917 45 H 0.087 0.913 46 H 0.073 0.927 47 H 0.024 0.976 48 H 0.026 0.974 49 H 0.080 0.920 50 H 0.084 0.916 51 H 0.095 0.905 52 H 0.054 0.946 53 H 0.081 0.919 Dipole moment (debyes) X Y Z Total from point charges -24.144 -0.407 -7.400 25.256 hybrid contribution -1.677 -1.044 0.021 1.976 sum -25.821 -1.451 -7.379 26.894 Atomic orbital electron populations 1.21821 0.94821 1.01792 1.01932 1.21043 0.96086 0.96472 0.97604 1.21926 1.01319 0.95647 1.02035 1.21977 0.94153 1.01395 0.99180 1.21916 0.95301 0.98817 0.86470 1.46914 1.59592 1.09783 1.15663 1.20719 0.75574 0.81321 0.90231 1.90764 1.47837 1.54092 1.42827 1.23313 1.05945 1.00895 0.93929 1.22591 0.94725 0.90495 0.98103 0.84993 1.62088 0.98182 1.51289 1.11763 1.22201 0.98172 0.92760 0.93705 1.21730 0.92481 1.02103 0.98845 1.21122 0.96308 0.98227 0.93744 1.19241 0.90674 0.95601 0.96721 1.22087 0.95428 1.47845 0.98070 0.93303 1.25801 0.97846 0.93973 1.01439 1.70716 1.38832 1.43278 1.02400 0.83519 0.75365 0.76669 0.74466 1.21610 1.21438 1.21399 1.21521 0.91623 1.00079 1.00210 1.22384 0.95210 0.99371 0.91096 1.20717 0.75380 0.88907 0.82666 1.90766 1.48508 1.13631 1.79613 0.92614 0.92458 0.92673 0.90831 0.92522 0.92397 0.92355 0.91341 0.91198 0.88546 0.88899 0.85778 0.85912 0.94432 0.90710 0.91659 0.91299 0.92723 0.97591 0.97353 0.92040 0.91578 0.90455 0.94572 0.91930 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 -0.91 9.19 37.16 0.34 -0.56 16 2 C -0.09 -0.64 2.92 -90.62 -0.26 -0.91 16 3 C -0.15 -1.06 8.95 37.16 0.33 -0.73 16 4 C -0.13 -1.05 5.01 -26.73 -0.13 -1.18 16 5 C 0.10 0.90 5.31 -4.04 -0.02 0.88 16 6 N -0.58 -6.13 2.56 -115.25 -0.30 -6.42 16 7 C 0.53 5.82 8.08 -11.08 -0.09 5.73 16 8 O -0.48 -6.57 17.48 5.61 0.10 -6.47 16 9 C -0.20 -1.72 5.68 -26.94 -0.15 -1.88 16 10 C 0.05 0.53 3.20 -67.92 -0.22 0.32 16 11 H 0.13 1.03 8.12 -51.93 -0.42 0.61 16 12 N -0.51 -6.52 4.69 -226.94 -1.06 -7.59 16 13 C 0.06 0.70 5.14 -3.83 -0.02 0.68 16 14 C -0.11 -1.77 5.38 -26.65 -0.14 -1.92 16 15 C -0.08 -1.45 2.20 -90.50 -0.20 -1.65 16 16 C 0.01 0.36 3.76 -27.88 -0.10 0.25 16 17 C -0.60 -16.50 8.45 -34.44 -0.29 -16.80 16 18 H 0.05 1.34 7.08 -52.49 -0.37 0.96 16 19 C 0.01 0.37 5.46 -17.82 -0.10 0.27 16 20 N -0.92 -28.00 13.65 55.43 0.76 -27.24 16 21 Si 1.07 25.42 29.90 -169.99 -5.08 20.33 16 22 H -0.29 -6.53 7.11 56.52 0.40 -6.13 16 23 H -0.29 -6.71 7.11 56.52 0.40 -6.31 16 24 H -0.29 -6.72 7.11 56.52 0.40 -6.32 16 25 C -0.10 -1.76 5.15 -26.65 -0.14 -1.90 16 26 C 0.05 0.68 4.78 -3.83 -0.02 0.66 16 27 C 0.54 6.35 6.06 -10.93 -0.07 6.28 16 28 O -0.46 -6.79 17.50 5.60 0.10 -6.69 16 29 H 0.05 0.35 8.14 -51.93 -0.42 -0.08 16 30 H 0.06 0.32 8.14 -51.93 -0.42 -0.11 16 31 H 0.05 0.33 8.14 -51.93 -0.42 -0.09 16 32 H 0.07 0.50 8.14 -51.93 -0.42 0.07 16 33 H 0.06 0.35 8.14 -51.93 -0.42 -0.07 16 34 H 0.06 0.43 8.14 -51.93 -0.42 0.00 16 35 H 0.06 0.42 6.56 -51.93 -0.34 0.08 16 36 H 0.07 0.58 8.14 -51.93 -0.42 0.16 16 37 H 0.07 0.61 8.14 -51.93 -0.42 0.19 16 38 H 0.10 0.92 6.26 -51.93 -0.33 0.60 16 39 H 0.09 0.86 7.83 -51.93 -0.41 0.45 16 40 H 0.12 1.16 5.31 -51.93 -0.28 0.88 16 41 H 0.12 0.73 8.14 -51.93 -0.42 0.31 16 42 H 0.04 0.42 7.00 -51.93 -0.36 0.05 16 43 H 0.07 0.74 8.11 -51.93 -0.42 0.32 16 44 H 0.06 0.98 8.14 -51.93 -0.42 0.55 16 45 H 0.07 1.14 8.14 -51.93 -0.42 0.72 16 46 H 0.05 1.08 8.14 -51.93 -0.42 0.65 16 47 H 0.01 0.15 8.01 -51.93 -0.42 -0.26 16 48 H 0.01 0.22 8.01 -51.93 -0.42 -0.20 16 49 H 0.27 8.19 7.22 -40.82 -0.29 7.90 16 50 H 0.07 1.29 8.14 -51.93 -0.42 0.86 16 51 H 0.08 1.54 7.05 -51.93 -0.37 1.17 16 52 H 0.04 0.50 6.40 -51.93 -0.33 0.17 16 53 H 0.06 0.92 6.87 -51.93 -0.36 0.56 16 LS Contribution 407.50 15.07 6.14 6.14 Total: -1.00 -32.65 407.50 -10.03 -42.68 By element: Atomic # 1 Polarization: 7.11 SS G_CDS: -9.40 Total: -2.29 kcal Atomic # 6 Polarization: -11.16 SS G_CDS: -1.28 Total: -12.44 kcal Atomic # 7 Polarization: -40.65 SS G_CDS: -0.60 Total: -41.25 kcal Atomic # 8 Polarization: -13.36 SS G_CDS: 0.20 Total: -13.17 kcal Atomic # 14 Polarization: 25.42 SS G_CDS: -5.08 Total: 20.33 kcal Total LS contribution 6.14 Total: 6.14 kcal Total: -32.65 -10.03 -42.68 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. ZINC000579353759.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 -48.625 kcal (2) G-P(sol) polarization free energy of solvation -32.645 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -81.270 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.031 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.676 kcal (6) G-S(sol) free energy of system = (1) + (5) -91.301 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.87 seconds