Wall clock time and date at job start Sat Apr 11 2020 06:11:59 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 N 1.46502 * 1 3 3 C 1.46502 * 119.99582 * 2 1 4 4 C 1.50698 * 109.47041 * 269.99908 * 3 2 1 5 5 O 1.21279 * 119.99808 * 0.02562 * 4 3 2 6 6 N 1.34778 * 120.00023 * 180.02562 * 4 3 2 7 7 C 1.46919 * 120.63255 * 179.97438 * 6 4 3 8 8 C 1.53195 * 108.89273 * 126.34238 * 7 6 4 9 9 C 1.53346 * 109.14901 * 54.57640 * 8 7 6 10 10 C 1.53004 * 109.41904 * 178.67276 * 9 8 7 11 11 C 1.50701 * 109.47085 * 295.13082 * 10 9 8 12 12 H 1.07998 * 120.00293 * 359.97438 * 11 10 9 13 13 C 1.37876 * 119.99472 * 179.97438 * 11 10 9 14 14 N 1.31505 * 120.00682 * 0.02562 * 13 11 10 15 15 Si 1.86802 * 119.99519 * 179.97438 * 13 11 10 16 16 H 1.48497 * 109.47056 * 90.00284 * 15 13 11 17 17 H 1.48503 * 109.47155 * 209.99821 * 15 13 11 18 18 H 1.48497 * 109.47425 * 330.00030 * 15 13 11 19 19 C 1.53034 * 109.61010 * 298.71225 * 9 8 7 20 20 C 1.46933 * 120.62741 * 0.02562 * 6 4 3 21 21 C 1.34773 * 120.00081 * 180.02562 * 2 1 3 22 22 O 1.21515 * 119.99799 * 180.02562 * 21 2 1 23 23 O 1.34639 * 120.00145 * 359.97438 * 21 2 1 24 24 C 1.45198 * 116.99784 * 180.02562 * 23 21 2 25 25 C 1.53004 * 109.47570 * 60.00140 * 24 23 21 26 26 C 1.53005 * 109.46896 * 180.02562 * 24 23 21 27 27 C 1.52998 * 109.47496 * 300.00045 * 24 23 21 28 28 H 1.09000 * 109.47427 * 90.00525 * 1 2 3 29 29 H 1.09005 * 109.46957 * 209.99792 * 1 2 3 30 30 H 1.08999 * 109.47733 * 329.99587 * 1 2 3 31 31 H 1.09001 * 109.46466 * 149.99911 * 3 2 1 32 32 H 1.09001 * 109.47257 * 30.00121 * 3 2 1 33 33 H 1.09002 * 109.58751 * 246.20189 * 7 6 4 34 34 H 1.08996 * 109.58750 * 6.48373 * 7 6 4 35 35 H 1.08997 * 109.49914 * 174.65962 * 8 7 6 36 36 H 1.09002 * 109.49585 * 294.75599 * 8 7 6 37 37 H 1.09001 * 109.42242 * 58.75065 * 9 8 7 38 38 H 1.09001 * 109.46592 * 55.13132 * 10 9 8 39 39 H 1.08997 * 109.47133 * 175.12697 * 10 9 8 40 40 H 0.97001 * 120.00836 * 179.97438 * 14 13 11 41 41 H 1.08994 * 109.50232 * 301.42239 * 19 9 8 42 42 H 1.09007 * 109.52628 * 181.33900 * 19 9 8 43 43 H 1.08994 * 109.58580 * 353.38021 * 20 6 4 44 44 H 1.09006 * 109.57831 * 113.65514 * 20 6 4 45 45 H 1.08997 * 109.46994 * 59.99704 * 25 24 23 46 46 H 1.08997 * 109.47335 * 179.97438 * 25 24 23 47 47 H 1.08998 * 109.46454 * 300.00172 * 25 24 23 48 48 H 1.08993 * 109.47054 * 60.00049 * 26 24 23 49 49 H 1.09004 * 109.47193 * 180.02562 * 26 24 23 50 50 H 1.09002 * 109.47353 * 299.99526 * 26 24 23 51 51 H 1.08998 * 109.47051 * 59.99507 * 27 24 23 52 52 H 1.08997 * 109.47605 * 180.02562 * 27 24 23 53 53 H 1.09010 * 109.46846 * 300.00334 * 27 24 23 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 7 1.4650 0.0000 0.0000 3 6 2.1974 1.2688 0.0000 4 6 2.4486 1.7038 -1.4208 5 8 2.0542 1.0215 -2.3426 6 7 3.1115 2.8512 -1.6671 7 6 3.3645 3.2882 -3.0468 8 6 2.8424 4.7183 -3.2177 9 6 3.4725 5.6153 -2.1455 10 6 2.9807 7.0522 -2.3312 11 6 3.4803 7.5880 -3.6481 12 1 4.0882 6.9661 -4.2885 13 6 3.1612 8.8722 -4.0354 14 7 2.4214 9.6297 -3.2555 15 14 3.7811 9.5367 -5.6675 16 1 2.7913 9.2352 -6.7327 17 1 3.9662 11.0066 -5.5654 18 1 5.0786 8.8965 -6.0020 19 6 3.0713 5.1146 -0.7562 20 6 3.5959 3.6881 -0.5608 21 6 2.1389 -1.1672 -0.0005 22 8 3.3541 -1.1671 -0.0001 23 8 1.4658 -2.3332 -0.0005 24 6 2.2567 -3.5509 -0.0005 25 6 3.1394 -3.5858 1.2487 26 6 1.3247 -4.7643 -0.0012 27 6 3.1393 -3.5858 -1.2497 28 1 -0.3634 -0.0001 -1.0276 29 1 -0.3633 -0.8900 0.5138 30 1 -0.3634 0.8899 0.5139 31 1 3.1498 1.1384 0.5139 32 1 1.6083 2.0284 0.5138 33 1 4.4356 3.2638 -3.2472 34 1 2.8478 2.6252 -3.7407 35 1 3.1091 5.0870 -4.2082 36 1 1.7581 4.7254 -3.1062 37 1 4.5579 5.5878 -2.2420 38 1 1.8908 7.0670 -2.3228 39 1 3.3587 7.6734 -1.5192 40 1 2.1973 10.5334 -3.5278 41 1 1.9850 5.1183 -0.6678 42 1 3.5004 5.7672 0.0042 43 1 3.2299 3.2903 0.3856 44 1 4.6859 3.6941 -0.5576 45 1 2.5105 -3.5610 2.1387 46 1 3.7327 -4.5001 1.2489 47 1 3.8032 -2.7213 1.2487 48 1 0.6962 -4.7392 -0.8913 49 1 1.9184 -5.6785 -0.0007 50 1 0.6955 -4.7398 0.8886 51 1 3.8032 -2.7213 -1.2498 52 1 3.7327 -4.5001 -1.2500 53 1 2.5105 -3.5609 -2.1398 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 ZINC000496056259.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 06:11:59 Heat of formation + Delta-G solvation = -125.365201 kcal Electronic energy + Delta-G solvation = -30970.130026 eV Core-core repulsion = 26841.731524 eV Total energy + Delta-G solvation = -4128.398502 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.93 seconds Orbital eigenvalues (eV) -41.09201 -39.98868 -37.95551 -37.03992 -35.59347 -34.12865 -34.02874 -32.16420 -31.02339 -29.19347 -27.80647 -27.66745 -27.60417 -26.59714 -24.62456 -23.06254 -22.29876 -21.63028 -20.03982 -19.50546 -18.73301 -18.05144 -17.39149 -16.94615 -16.27974 -16.22138 -15.85411 -15.35884 -15.11896 -14.64572 -14.53977 -14.39068 -13.97808 -13.71890 -13.63112 -13.37919 -13.22869 -12.97024 -12.87096 -12.78835 -12.65352 -12.45084 -12.21633 -12.18350 -12.15179 -11.90185 -11.88567 -11.67589 -11.53159 -11.20818 -11.03798 -10.78456 -10.70232 -10.59172 -10.43863 -10.23166 -10.19389 -10.00663 -9.66026 -9.29112 -9.02454 -8.86962 -8.38589 -8.35112 -6.01580 -4.03305 1.84364 2.64186 2.68790 3.15705 3.30740 3.37513 3.40304 3.62231 4.44373 4.45068 4.47436 4.50586 4.63949 4.74018 4.87883 5.01035 5.07403 5.18146 5.26082 5.28073 5.32158 5.33489 5.35661 5.40707 5.41411 5.50815 5.57697 5.59192 5.61291 5.64182 5.70608 5.79040 5.95478 5.96056 6.04296 6.07232 6.14912 6.23615 6.32077 6.34744 6.50606 6.63281 6.96053 6.99094 7.09180 7.09259 7.52596 7.64169 7.78486 7.97786 8.13238 8.26204 8.40687 9.03028 9.60713 11.09606 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.029339 B = 0.002023 C = 0.001991 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 954.131709 B =13839.513191 C =14060.116220 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.085 3.915 2 N -0.583 5.583 3 C 0.114 3.886 4 C 0.497 3.503 5 O -0.539 6.539 6 N -0.603 5.603 7 C 0.109 3.891 8 C -0.116 4.116 9 C -0.082 4.082 10 C 0.028 3.972 11 C -0.516 4.516 12 H 0.056 0.944 13 C 0.056 3.944 14 N -0.896 5.896 15 Si 0.889 3.111 16 H -0.281 1.281 17 H -0.287 1.287 18 H -0.274 1.274 19 C -0.130 4.130 20 C 0.106 3.894 21 C 0.660 3.340 22 O -0.566 6.566 23 O -0.360 6.360 24 C 0.135 3.865 25 C -0.182 4.182 26 C -0.140 4.140 27 C -0.183 4.183 28 H 0.062 0.938 29 H 0.078 0.922 30 H 0.074 0.926 31 H 0.116 0.884 32 H 0.115 0.885 33 H 0.063 0.937 34 H 0.083 0.917 35 H 0.084 0.916 36 H 0.057 0.943 37 H 0.059 0.941 38 H 0.015 0.985 39 H 0.016 0.984 40 H 0.260 0.740 41 H 0.062 0.938 42 H 0.072 0.928 43 H 0.075 0.925 44 H 0.070 0.930 45 H 0.058 0.942 46 H 0.069 0.931 47 H 0.088 0.912 48 H 0.067 0.933 49 H 0.080 0.920 50 H 0.066 0.934 51 H 0.088 0.912 52 H 0.069 0.931 53 H 0.060 0.940 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.432 -25.076 11.749 27.799 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 -0.058 4.058 2 N -0.322 5.322 3 C -0.012 4.012 4 C 0.283 3.717 5 O -0.416 6.416 6 N -0.337 5.337 7 C -0.012 4.012 8 C -0.155 4.155 9 C -0.100 4.100 10 C -0.009 4.009 11 C -0.554 4.554 12 H 0.074 0.926 13 C -0.145 4.145 14 N -0.535 5.535 15 Si 0.717 3.283 16 H -0.207 1.207 17 H -0.213 1.213 18 H -0.199 1.199 19 C -0.168 4.168 20 C -0.017 4.017 21 C 0.416 3.584 22 O -0.455 6.455 23 O -0.274 6.274 24 C 0.098 3.902 25 C -0.240 4.240 26 C -0.197 4.197 27 C -0.240 4.240 28 H 0.080 0.920 29 H 0.097 0.903 30 H 0.093 0.907 31 H 0.134 0.866 32 H 0.133 0.867 33 H 0.081 0.919 34 H 0.102 0.898 35 H 0.102 0.898 36 H 0.076 0.924 37 H 0.077 0.923 38 H 0.033 0.967 39 H 0.034 0.966 40 H 0.069 0.931 41 H 0.081 0.919 42 H 0.091 0.909 43 H 0.093 0.907 44 H 0.089 0.911 45 H 0.078 0.922 46 H 0.088 0.912 47 H 0.106 0.894 48 H 0.086 0.914 49 H 0.098 0.902 50 H 0.085 0.915 51 H 0.106 0.894 52 H 0.088 0.912 53 H 0.079 0.921 Dipole moment (debyes) X Y Z Total from point charges -2.348 -25.367 11.276 27.859 hybrid contribution 0.313 0.678 -0.962 1.218 sum -2.036 -24.689 10.313 26.834 Atomic orbital electron populations 1.21828 0.77858 1.03245 1.02843 1.46118 1.07388 1.02597 1.76084 1.21397 0.99893 0.84568 0.95336 1.21013 0.78055 0.80876 0.91802 1.90678 1.51333 1.53594 1.46028 1.48169 1.55704 1.21621 1.08242 1.21769 1.00514 0.97124 0.81833 1.21942 1.00249 0.91981 1.01283 1.21254 0.99419 0.98003 0.91349 1.19121 0.96386 0.88597 0.96795 1.21237 1.31943 0.98162 1.04091 0.92596 1.25017 0.95288 0.97154 0.97028 1.69952 1.37767 1.08829 1.36961 0.86642 0.79253 0.78100 0.84292 1.20724 1.21310 1.19906 1.22041 1.01189 0.93840 0.99745 1.21880 0.99476 0.91964 0.88396 1.17839 0.83826 0.81120 0.75663 1.90892 1.12256 1.86767 1.55594 1.86292 1.40874 1.13667 1.86605 1.22082 0.90901 0.80615 0.96584 1.22513 1.00624 1.04518 0.96309 1.21852 0.99566 0.94918 1.03347 1.22502 1.00700 1.04367 0.96456 0.91951 0.90289 0.90748 0.86595 0.86749 0.91873 0.89811 0.89776 0.92406 0.92282 0.96660 0.96587 0.93062 0.91940 0.90908 0.90698 0.91144 0.92248 0.91175 0.89370 0.91421 0.90170 0.91538 0.89353 0.91246 0.92083 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 0.08 0.76 10.49 59.85 0.63 1.39 16 2 N -0.58 -6.87 2.36 -188.80 -0.45 -7.32 16 3 C 0.11 1.26 4.28 -5.19 -0.02 1.23 16 4 C 0.50 7.38 7.77 -10.99 -0.09 7.30 16 5 O -0.54 -10.01 15.84 5.56 0.09 -9.92 16 6 N -0.60 -8.69 2.97 -172.74 -0.51 -9.21 16 7 C 0.11 1.74 6.42 -3.71 -0.02 1.71 16 8 C -0.12 -2.09 5.21 -26.45 -0.14 -2.23 16 9 C -0.08 -1.53 2.10 -90.42 -0.19 -1.72 16 10 C 0.03 0.68 4.45 -27.88 -0.12 0.56 16 11 C -0.52 -13.93 8.39 -34.44 -0.29 -14.22 16 12 H 0.06 1.47 7.06 -52.49 -0.37 1.10 16 13 C 0.06 1.57 5.46 -17.82 -0.10 1.47 16 14 N -0.90 -26.36 13.28 55.43 0.74 -25.62 16 15 Si 0.89 21.34 29.54 -169.99 -5.02 16.32 16 16 H -0.28 -6.70 7.11 56.52 0.40 -6.29 16 17 H -0.29 -6.87 7.11 56.52 0.40 -6.47 16 18 H -0.27 -6.45 7.11 56.52 0.40 -6.05 16 19 C -0.13 -1.91 5.37 -26.59 -0.14 -2.06 16 20 C 0.11 1.27 6.34 -3.68 -0.02 1.24 16 21 C 0.66 8.86 7.70 54.05 0.42 9.28 16 22 O -0.57 -8.64 11.46 -19.28 -0.22 -8.86 16 23 O -0.36 -4.25 8.71 -40.32 -0.35 -4.61 16 24 C 0.13 1.31 1.13 -90.62 -0.10 1.20 16 25 C -0.18 -1.62 8.37 37.16 0.31 -1.31 16 26 C -0.14 -0.94 8.85 37.16 0.33 -0.61 16 27 C -0.18 -1.90 8.37 37.16 0.31 -1.59 16 28 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 29 H 0.08 0.61 7.38 -51.93 -0.38 0.23 16 30 H 0.07 0.49 7.89 -51.93 -0.41 0.08 16 31 H 0.12 1.22 7.22 -51.93 -0.37 0.84 16 32 H 0.11 0.90 7.45 -51.93 -0.39 0.51 16 33 H 0.06 0.96 8.14 -51.93 -0.42 0.53 16 34 H 0.08 1.41 7.00 -51.93 -0.36 1.04 16 35 H 0.08 1.63 6.93 -51.93 -0.36 1.27 16 36 H 0.06 1.08 8.14 -51.93 -0.42 0.66 16 37 H 0.06 1.12 8.14 -51.93 -0.42 0.70 16 38 H 0.02 0.40 8.14 -51.93 -0.42 -0.03 16 39 H 0.02 0.41 8.14 -51.93 -0.42 -0.01 16 40 H 0.26 7.26 8.31 -40.82 -0.34 6.92 16 41 H 0.06 0.94 8.14 -51.93 -0.42 0.52 16 42 H 0.07 1.02 8.14 -51.92 -0.42 0.59 16 43 H 0.07 0.66 5.93 -51.93 -0.31 0.35 16 44 H 0.07 0.81 8.14 -51.93 -0.42 0.39 16 45 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 46 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 47 H 0.09 0.99 5.88 -51.93 -0.31 0.69 16 48 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 49 H 0.08 0.40 8.14 -51.93 -0.42 -0.03 16 50 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 51 H 0.09 1.17 5.88 -51.93 -0.31 0.87 16 52 H 0.07 0.56 8.14 -51.93 -0.42 0.14 16 53 H 0.06 0.65 8.14 -51.92 -0.42 0.23 16 LS Contribution 413.39 15.07 6.23 6.23 Total: -1.00 -34.00 413.39 -8.21 -42.20 By element: Atomic # 1 Polarization: 8.59 SS G_CDS: -9.47 Total: -0.87 kcal Atomic # 6 Polarization: 0.90 SS G_CDS: 0.76 Total: 1.66 kcal Atomic # 7 Polarization: -41.92 SS G_CDS: -0.22 Total: -42.15 kcal Atomic # 8 Polarization: -22.91 SS G_CDS: -0.48 Total: -23.39 kcal Atomic # 14 Polarization: 21.34 SS G_CDS: -5.02 Total: 16.32 kcal Total LS contribution 6.23 Total: 6.23 kcal Total: -34.00 -8.21 -42.20 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. ZINC000496056259.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 -83.162 kcal (2) G-P(sol) polarization free energy of solvation -33.996 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -117.158 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.208 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.203 kcal (6) G-S(sol) free energy of system = (1) + (5) -125.365 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.93 seconds