Wall clock time and date at job start Sat Apr 11 2020 06:10:45 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 1.53008 * 1 3 3 C 1.52996 * 109.46667 * 2 1 4 4 O 1.45198 * 109.46944 * 119.99757 * 2 1 3 5 5 C 1.34228 * 117.00098 * 90.00122 * 4 2 1 6 6 O 1.20835 * 120.00010 * 359.97438 * 5 4 2 7 7 C 1.50700 * 120.00260 * 179.97438 * 5 4 2 8 8 C 1.53000 * 109.47318 * 180.02562 * 7 5 4 9 9 C 1.52995 * 109.47463 * 179.97438 * 8 7 5 10 10 H 1.09004 * 109.46967 * 54.99733 * 9 8 7 11 11 C 1.52996 * 109.47467 * 174.99796 * 9 8 7 12 12 N 1.46496 * 109.47235 * 295.00001 * 9 8 7 13 13 C 1.34776 * 120.00420 * 154.99380 * 12 9 8 14 14 O 1.21583 * 119.99862 * 354.89890 * 13 12 9 15 15 N 1.34778 * 120.00319 * 174.89249 * 13 12 9 16 16 C 1.46932 * 120.62954 * 5.04620 * 15 13 12 17 17 C 1.53187 * 108.77613 * 233.58762 * 16 15 13 18 18 C 1.53037 * 109.31525 * 305.36574 * 17 16 15 19 19 C 1.53041 * 109.53747 * 61.36633 * 18 17 16 20 20 H 1.08998 * 109.49632 * 58.58731 * 19 18 17 21 21 C 1.50699 * 109.49900 * 178.68498 * 19 18 17 22 22 H 1.08001 * 119.99833 * 35.05918 * 21 19 18 23 23 C 1.37881 * 120.00068 * 215.06110 * 21 19 18 24 24 N 1.31518 * 120.00055 * 174.98121 * 23 21 19 25 25 Si 1.86804 * 119.99798 * 354.98233 * 23 21 19 26 26 H 1.48503 * 109.46850 * 94.95157 * 25 23 21 27 27 H 1.48497 * 109.46867 * 214.94722 * 25 23 21 28 28 H 1.48498 * 109.47146 * 334.95204 * 25 23 21 29 29 C 1.46920 * 120.63362 * 184.77274 * 15 13 12 30 30 H 1.08999 * 109.46886 * 300.00193 * 1 2 3 31 31 H 1.08998 * 109.46872 * 60.00021 * 1 2 3 32 32 H 1.09003 * 109.46944 * 180.02562 * 1 2 3 33 33 H 1.08999 * 109.46886 * 239.99807 * 2 1 3 34 34 H 1.09009 * 109.46594 * 180.02562 * 3 2 1 35 35 H 1.08998 * 109.47457 * 299.99621 * 3 2 1 36 36 H 1.08999 * 109.47625 * 60.00259 * 3 2 1 37 37 H 1.09003 * 109.47273 * 299.99769 * 7 5 4 38 38 H 1.08996 * 109.47122 * 60.00255 * 7 5 4 39 39 H 1.09004 * 109.47369 * 300.00230 * 8 7 5 40 40 H 1.09002 * 109.47252 * 59.99377 * 8 7 5 41 41 H 1.09004 * 109.47078 * 60.00005 * 11 9 8 42 42 H 1.08995 * 109.47452 * 179.97438 * 11 9 8 43 43 H 1.09003 * 109.47242 * 300.00310 * 11 9 8 44 44 H 0.97005 * 119.99662 * 334.99899 * 12 9 8 45 45 H 1.09001 * 109.58093 * 353.37864 * 16 15 13 46 46 H 1.09000 * 109.58048 * 113.65410 * 16 15 13 47 47 H 1.09005 * 109.49775 * 65.32034 * 17 16 15 48 48 H 1.09001 * 109.49284 * 185.41659 * 17 16 15 49 49 H 1.08993 * 109.46324 * 181.38560 * 18 17 16 50 50 H 1.09008 * 109.46124 * 301.36385 * 18 17 16 51 51 H 0.96996 * 119.99668 * 179.97438 * 24 23 21 52 52 H 1.08995 * 109.58836 * 246.20085 * 29 15 13 53 53 H 1.09003 * 109.58588 * 6.62753 * 29 15 13 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 1.5301 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 8 2.0140 -0.6844 1.1856 5 6 2.2172 -2.0074 1.0852 6 8 1.9974 -2.5750 0.0413 7 6 2.7193 -2.7851 2.2744 8 6 2.8644 -4.2601 1.8949 9 6 3.3748 -5.0495 3.1020 10 1 2.7128 -4.8824 3.9517 11 6 3.4015 -6.5410 2.7619 12 7 4.7278 -4.6019 3.4417 13 6 5.1903 -4.7483 4.6991 14 8 4.4548 -5.1656 5.5726 15 7 6.4682 -4.4322 4.9882 16 6 7.3373 -3.8240 3.9715 17 6 8.6166 -4.6583 3.8534 18 6 9.2629 -4.7920 5.2342 19 6 8.3016 -5.5135 6.1815 20 1 8.0591 -6.4955 5.7753 21 6 8.9514 -5.6734 7.5318 22 1 9.6081 -4.9037 7.9096 23 6 8.7077 -6.8024 8.2848 24 7 9.3499 -6.9889 9.4172 25 14 7.4652 -8.0673 7.6964 26 1 8.1687 -9.1441 6.9543 27 1 6.7612 -8.6509 8.8664 28 1 6.4783 -7.4122 6.8008 29 6 7.0170 -4.6837 6.3276 30 1 -0.3633 0.5139 0.8900 31 1 -0.3633 0.5138 -0.8900 32 1 -0.3633 -1.0277 0.0005 33 1 1.8934 -0.5139 -0.8900 34 1 3.1300 1.4425 -0.0005 35 1 1.6767 1.9563 -0.8900 36 1 1.6767 1.9564 0.8900 37 1 3.6885 -2.3925 2.5823 38 1 2.0105 -2.6892 3.0968 39 1 1.8955 -4.6531 1.5867 40 1 3.5734 -4.3557 1.0725 41 1 4.0635 -6.7081 1.9122 42 1 3.7656 -7.1033 3.6217 43 1 2.3949 -6.8741 2.5092 44 1 5.2907 -4.2000 2.7615 45 1 6.8211 -3.8085 3.0116 46 1 7.5886 -2.8055 4.2677 47 1 8.3712 -5.6483 3.4691 48 1 9.3109 -4.1652 3.1730 49 1 10.1865 -5.3645 5.1489 50 1 9.4853 -3.8005 5.6287 51 1 9.1781 -7.7830 9.9471 52 1 7.2448 -3.7349 6.8133 53 1 6.2895 -5.2358 6.9228 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 ZINC000595598535.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 06:10:45 Heat of formation + Delta-G solvation = -137.220196 kcal Electronic energy + Delta-G solvation = -30688.799668 eV Core-core repulsion = 26559.887095 eV Total energy + Delta-G solvation = -4128.912573 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.68 seconds Orbital eigenvalues (eV) -40.93598 -40.07605 -37.75396 -37.15898 -35.98551 -33.67032 -33.48505 -32.34413 -31.73279 -30.55582 -29.83970 -27.76931 -25.70135 -25.21027 -24.61128 -22.39174 -21.87952 -21.26269 -20.71463 -20.11173 -18.97364 -18.19879 -17.66298 -16.89495 -16.73563 -16.53354 -16.13718 -15.07687 -14.91843 -14.72800 -14.39136 -14.23738 -13.99961 -13.91643 -13.78650 -13.57043 -13.27378 -12.98280 -12.90886 -12.77296 -12.65257 -12.53988 -12.39046 -12.23853 -12.18296 -12.15385 -11.67082 -11.54024 -11.36526 -11.29213 -11.05535 -10.99905 -10.91045 -10.69478 -10.61315 -10.55271 -10.03258 -9.73013 -9.67989 -9.33534 -9.08673 -8.96866 -8.59891 -7.92073 -6.09569 -4.10028 1.89385 2.30395 2.98580 3.33120 3.44122 3.55625 3.60149 4.14558 4.24148 4.31633 4.43281 4.44778 4.45470 4.66401 4.67212 4.81526 5.05096 5.09907 5.20710 5.22541 5.23172 5.23867 5.26967 5.30166 5.36182 5.45059 5.49636 5.52630 5.57385 5.65450 5.66408 5.74184 5.83716 5.94185 6.01520 6.16726 6.17171 6.21975 6.28489 6.42614 6.63081 6.66439 6.70844 6.77764 6.96230 7.25305 7.33948 7.43817 7.45213 7.76962 8.31080 8.50338 8.94930 8.99807 9.54172 11.02833 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.018664 B = 0.002347 C = 0.002218 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1499.835536 B =11925.495495 C =12620.026716 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.170 4.170 2 C 0.079 3.921 3 C -0.150 4.150 4 O -0.354 6.354 5 C 0.462 3.538 6 O -0.510 6.510 7 C -0.115 4.115 8 C -0.114 4.114 9 C 0.160 3.840 10 H 0.092 0.908 11 C -0.164 4.164 12 N -0.752 5.752 13 C 0.703 3.297 14 O -0.592 6.592 15 N -0.625 5.625 16 C 0.117 3.883 17 C -0.137 4.137 18 C -0.103 4.103 19 C 0.006 3.994 20 H 0.034 0.966 21 C -0.513 4.513 22 H 0.075 0.925 23 C 0.075 3.925 24 N -0.896 5.896 25 Si 0.869 3.131 26 H -0.281 1.281 27 H -0.288 1.288 28 H -0.253 1.253 29 C 0.129 3.871 30 H 0.067 0.933 31 H 0.074 0.926 32 H 0.061 0.939 33 H 0.084 0.916 34 H 0.065 0.935 35 H 0.078 0.922 36 H 0.068 0.932 37 H 0.107 0.893 38 H 0.109 0.891 39 H 0.088 0.912 40 H 0.077 0.923 41 H 0.055 0.945 42 H 0.064 0.936 43 H 0.063 0.937 44 H 0.391 0.609 45 H 0.062 0.938 46 H 0.065 0.935 47 H 0.059 0.941 48 H 0.062 0.938 49 H 0.059 0.941 50 H 0.053 0.947 51 H 0.264 0.736 52 H 0.057 0.943 53 H 0.082 0.918 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -14.476 13.246 -21.556 29.149 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 -0.227 4.227 2 C 0.024 3.976 3 C -0.208 4.208 4 O -0.271 6.271 5 C 0.306 3.694 6 O -0.398 6.398 7 C -0.152 4.152 8 C -0.152 4.152 9 C 0.054 3.946 10 H 0.110 0.890 11 C -0.222 4.222 12 N -0.411 5.411 13 C 0.404 3.596 14 O -0.470 6.470 15 N -0.362 5.362 16 C -0.007 4.007 17 C -0.175 4.175 18 C -0.141 4.141 19 C -0.014 4.014 20 H 0.052 0.948 21 C -0.551 4.551 22 H 0.093 0.907 23 C -0.128 4.128 24 N -0.533 5.533 25 Si 0.696 3.304 26 H -0.207 1.207 27 H -0.214 1.214 28 H -0.177 1.177 29 C 0.008 3.992 30 H 0.086 0.914 31 H 0.093 0.907 32 H 0.080 0.920 33 H 0.103 0.897 34 H 0.084 0.916 35 H 0.096 0.904 36 H 0.087 0.913 37 H 0.125 0.875 38 H 0.127 0.873 39 H 0.106 0.894 40 H 0.096 0.904 41 H 0.074 0.926 42 H 0.083 0.917 43 H 0.082 0.918 44 H 0.227 0.773 45 H 0.081 0.919 46 H 0.083 0.917 47 H 0.078 0.922 48 H 0.081 0.919 49 H 0.078 0.922 50 H 0.072 0.928 51 H 0.074 0.926 52 H 0.076 0.924 53 H 0.101 0.899 Dipole moment (debyes) X Y Z Total from point charges -15.073 12.667 -21.058 28.828 hybrid contribution -0.323 -0.549 -0.687 0.937 sum -15.395 12.118 -21.745 29.270 Atomic orbital electron populations 1.22213 0.94284 1.03089 1.03159 1.22744 0.94643 0.93150 0.87043 1.21898 1.02211 0.93415 1.03233 1.86596 1.76910 1.22459 1.41167 1.23893 0.74039 0.81186 0.90292 1.90658 1.48143 1.70016 1.30984 1.21461 1.04302 0.94749 0.94718 1.21757 1.03491 0.91910 0.98013 1.20742 0.83570 0.93325 0.96955 0.89023 1.22185 1.01931 0.95829 1.02267 1.45475 1.16784 1.68370 1.10473 1.15948 0.82355 0.78776 0.82495 1.90891 1.56368 1.53264 1.46450 1.47769 1.09052 1.64628 1.14751 1.21530 0.91792 0.96890 0.90527 1.22002 0.96146 0.99859 0.99513 1.21546 0.99074 1.00704 0.92758 1.19563 0.91176 0.94568 0.96043 0.94782 1.20897 1.28262 1.05749 1.00209 0.90736 1.25076 0.95254 0.97754 0.94707 1.69907 1.41251 1.28126 1.14044 0.86954 0.82648 0.81813 0.78955 1.20673 1.21403 1.17677 1.22455 0.97017 1.00013 0.79747 0.91443 0.90681 0.91970 0.89750 0.91593 0.90365 0.91272 0.87493 0.87301 0.89381 0.90449 0.92554 0.91657 0.91796 0.77255 0.91949 0.91717 0.92177 0.91903 0.92247 0.92784 0.92599 0.92435 0.89922 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 -0.17 -1.09 9.55 37.16 0.35 -0.73 16 2 C 0.08 0.59 3.18 -26.73 -0.09 0.51 16 3 C -0.15 -0.81 9.57 37.16 0.36 -0.45 16 4 O -0.35 -3.30 9.88 -39.25 -0.39 -3.68 16 5 C 0.46 4.48 7.93 36.01 0.29 4.76 16 6 O -0.51 -6.05 15.20 -18.76 -0.29 -6.34 16 7 C -0.11 -0.93 5.70 -27.88 -0.16 -1.08 16 8 C -0.11 -0.95 4.04 -26.73 -0.11 -1.06 16 9 C 0.16 1.75 2.62 -67.94 -0.18 1.58 16 10 H 0.09 1.15 7.51 -51.93 -0.39 0.76 16 11 C -0.16 -1.83 9.48 37.16 0.35 -1.48 16 12 N -0.75 -9.44 4.44 -58.68 -0.26 -9.70 16 13 C 0.70 12.49 8.26 -86.92 -0.72 11.77 16 14 O -0.59 -13.06 15.41 5.29 0.08 -12.98 16 15 N -0.63 -11.05 2.97 -178.23 -0.53 -11.58 16 16 C 0.12 1.55 6.43 -3.71 -0.02 1.53 16 17 C -0.14 -1.96 6.08 -26.62 -0.16 -2.13 16 18 C -0.10 -1.91 5.15 -26.69 -0.14 -2.05 16 19 C 0.01 0.15 1.79 -91.43 -0.16 -0.02 16 20 H 0.03 0.82 5.59 -51.93 -0.29 0.53 16 21 C -0.51 -14.00 8.86 -34.44 -0.31 -14.30 16 22 H 0.07 2.19 8.06 -52.49 -0.42 1.76 16 23 C 0.07 2.15 5.47 -17.82 -0.10 2.05 16 24 N -0.90 -27.25 13.96 55.43 0.77 -26.47 16 25 Si 0.87 22.18 26.64 -169.99 -4.53 17.65 16 26 H -0.28 -7.04 7.11 56.52 0.40 -6.63 16 27 H -0.29 -7.39 7.11 56.52 0.40 -6.99 16 28 H -0.25 -6.50 6.01 56.52 0.34 -6.16 16 29 C 0.13 2.78 5.53 -3.49 -0.02 2.76 16 30 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 31 H 0.07 0.35 8.14 -51.93 -0.42 -0.07 16 32 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 33 H 0.08 0.69 7.16 -51.93 -0.37 0.32 16 34 H 0.06 0.36 8.14 -51.92 -0.42 -0.06 16 35 H 0.08 0.29 8.14 -51.93 -0.42 -0.14 16 36 H 0.07 0.37 8.14 -51.93 -0.42 -0.06 16 37 H 0.11 0.82 7.75 -51.93 -0.40 0.42 16 38 H 0.11 0.81 8.14 -51.93 -0.42 0.38 16 39 H 0.09 0.72 8.10 -51.93 -0.42 0.30 16 40 H 0.08 0.65 8.10 -51.93 -0.42 0.22 16 41 H 0.06 0.58 8.14 -51.93 -0.42 0.16 16 42 H 0.06 0.93 8.14 -51.93 -0.42 0.51 16 43 H 0.06 0.59 8.14 -51.93 -0.42 0.17 16 44 H 0.39 3.92 6.06 -40.82 -0.25 3.67 16 45 H 0.06 0.63 5.57 -51.93 -0.29 0.34 16 46 H 0.06 0.80 8.14 -51.93 -0.42 0.37 16 47 H 0.06 0.90 8.14 -51.93 -0.42 0.48 16 48 H 0.06 0.73 8.14 -51.93 -0.42 0.31 16 49 H 0.06 1.13 8.14 -51.93 -0.42 0.71 16 50 H 0.05 0.98 8.14 -51.92 -0.42 0.56 16 51 H 0.26 7.58 8.31 -40.82 -0.34 7.24 16 52 H 0.06 1.21 8.14 -51.93 -0.42 0.79 16 53 H 0.08 2.03 5.96 -51.93 -0.31 1.72 16 LS Contribution 416.81 15.07 6.28 6.28 Total: -1.00 -34.35 416.81 -9.19 -43.54 By element: Atomic # 1 Polarization: 11.17 SS G_CDS: -9.53 Total: 1.64 kcal Atomic # 6 Polarization: 2.45 SS G_CDS: -0.81 Total: 1.64 kcal Atomic # 7 Polarization: -47.74 SS G_CDS: -0.02 Total: -47.76 kcal Atomic # 8 Polarization: -22.41 SS G_CDS: -0.59 Total: -23.00 kcal Atomic # 14 Polarization: 22.18 SS G_CDS: -4.53 Total: 17.65 kcal Total LS contribution 6.28 Total: 6.28 kcal Total: -34.35 -9.19 -43.54 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. ZINC000595598535.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 -93.677 kcal (2) G-P(sol) polarization free energy of solvation -34.354 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -128.031 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.189 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.544 kcal (6) G-S(sol) free energy of system = (1) + (5) -137.220 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.68 seconds