Wall clock time and date at job start Tue Mar 31 2020 19:54:52 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 1.53005 * 1 3 3 C 1.52998 * 109.47016 * 2 1 4 4 C 1.53003 * 109.46828 * 240.00214 * 2 1 3 5 5 C 1.50698 * 109.47055 * 120.00229 * 2 1 3 6 6 O 1.20777 * 119.99977 * 359.97438 * 5 2 1 7 7 C 1.49090 * 119.99876 * 180.02562 * 5 2 1 8 8 O 1.21367 * 119.99667 * 351.45616 * 7 5 2 9 9 N 1.34768 * 120.00072 * 171.45834 * 7 5 2 10 10 C 1.46930 * 120.63172 * 351.28784 * 9 7 5 11 11 C 1.53186 * 108.77363 * 233.60986 * 10 9 7 12 12 C 1.53039 * 109.31483 * 305.36286 * 11 10 9 13 13 C 1.53044 * 109.54082 * 61.36771 * 12 11 10 14 14 H 1.09004 * 109.49544 * 58.61700 * 13 12 11 15 15 C 1.52990 * 109.49961 * 178.68564 * 13 12 11 16 16 H 1.08998 * 110.89429 * 63.81613 * 15 13 12 17 17 C 1.55164 * 111.00409 * 299.93297 * 15 13 12 18 18 C 1.54319 * 103.10139 * 206.29969 * 17 15 13 19 19 N 1.47487 * 107.03911 * 22.23880 * 18 17 15 20 20 C 1.36935 * 125.59571 * 181.00234 * 19 18 17 21 21 H 1.08004 * 119.99994 * 180.02562 * 20 19 18 22 22 C 1.38811 * 119.99832 * 0.02844 * 20 19 18 23 23 N 1.31612 * 120.00441 * 359.97438 * 22 20 19 24 24 Si 1.86805 * 119.99735 * 180.02562 * 22 20 19 25 25 H 1.48497 * 109.47409 * 59.99979 * 24 22 20 26 26 H 1.48499 * 109.47144 * 180.02562 * 24 22 20 27 27 H 1.48507 * 109.46959 * 299.99459 * 24 22 20 28 28 C 1.47432 * 108.75662 * 1.02633 * 19 18 17 29 29 C 1.46936 * 120.60522 * 171.30829 * 9 7 5 30 30 H 1.09002 * 109.46870 * 299.99549 * 1 2 3 31 31 H 1.08996 * 109.47154 * 60.00274 * 1 2 3 32 32 H 1.09005 * 109.46883 * 179.97438 * 1 2 3 33 33 H 1.09002 * 109.47036 * 180.02562 * 3 2 1 34 34 H 1.09000 * 109.47243 * 300.00269 * 3 2 1 35 35 H 1.08999 * 109.46694 * 60.00017 * 3 2 1 36 36 H 1.08993 * 109.47317 * 299.99659 * 4 2 1 37 37 H 1.09000 * 109.47163 * 59.99894 * 4 2 1 38 38 H 1.09002 * 109.46951 * 179.97438 * 4 2 1 39 39 H 1.09004 * 109.58675 * 113.82186 * 10 9 7 40 40 H 1.08993 * 109.58583 * 353.39819 * 10 9 7 41 41 H 1.09006 * 109.49818 * 185.41221 * 11 10 9 42 42 H 1.09003 * 109.52521 * 65.33292 * 11 10 9 43 43 H 1.08996 * 109.46273 * 301.34394 * 12 11 10 44 44 H 1.09006 * 109.45436 * 181.38273 * 12 11 10 45 45 H 1.09002 * 110.71934 * 324.74947 * 17 15 13 46 46 H 1.08993 * 110.71605 * 87.84895 * 17 15 13 47 47 H 1.09005 * 109.88480 * 141.69698 * 18 17 15 48 48 H 1.09003 * 109.88191 * 262.86474 * 18 17 15 49 49 H 0.97000 * 120.00389 * 180.02562 * 23 22 20 50 50 H 1.08998 * 110.36439 * 217.05117 * 28 19 18 51 51 H 1.09004 * 110.36223 * 94.72920 * 28 19 18 52 52 H 1.09004 * 109.61588 * 6.62376 * 29 9 7 53 53 H 1.09003 * 109.56508 * 246.19449 * 29 9 7 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 -1.2493 5 6 2.0324 -0.7104 1.2304 6 8 1.2475 -1.1691 2.0256 7 6 3.4982 -0.8462 1.4666 8 8 4.2847 -0.5254 0.5998 9 7 3.9497 -1.3250 2.6426 10 6 3.0287 -1.5381 3.7674 11 6 3.5715 -0.8008 4.9956 12 6 5.0079 -1.2550 5.2648 13 6 5.8890 -0.9055 4.0632 14 1 5.8543 0.1697 3.8871 15 6 7.3311 -1.3304 4.3466 16 1 7.4028 -2.4122 4.4587 17 6 7.8892 -0.6034 5.5987 18 6 9.4113 -0.5877 5.3446 19 7 9.6083 -0.7395 3.8908 20 6 10.8183 -0.7939 3.2519 21 1 10.8575 -0.9068 2.1785 22 6 11.9943 -0.7041 3.9838 23 7 11.9465 -0.5662 5.2918 24 14 13.6448 -0.7777 3.1121 25 1 13.7413 0.3404 2.1396 26 1 14.7377 -0.6614 4.1108 27 1 13.7677 -2.0713 2.3931 28 6 8.2883 -0.8224 3.2396 29 6 5.3727 -1.6434 2.8239 30 1 -0.3633 0.5138 0.8901 31 1 -0.3633 0.5138 -0.8900 32 1 -0.3633 -1.0277 -0.0005 33 1 3.1300 1.4425 -0.0005 34 1 1.6766 1.9563 -0.8899 35 1 1.6766 1.9562 0.8900 36 1 1.6767 -1.7488 -1.2493 37 1 1.6766 -0.2074 -2.1393 38 1 3.1300 -0.7208 -1.2496 39 1 2.9563 -2.6040 3.9836 40 1 2.0438 -1.1472 3.5123 41 1 2.9495 -1.0289 5.8612 42 1 3.5581 0.2734 4.8110 43 1 5.0239 -2.3329 5.4254 44 1 5.3880 -0.7499 6.1528 45 1 7.4982 0.4121 5.6612 46 1 7.6553 -1.1618 6.5050 47 1 9.8337 0.3589 5.6817 48 1 9.8838 -1.4160 5.8726 49 1 12.7683 -0.5031 5.8033 50 1 8.3181 -1.5290 2.4102 51 1 7.9755 0.1615 2.8898 52 1 5.9342 -1.3217 1.9468 53 1 5.4915 -2.7180 2.9626 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 ZINC000961155278.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 19:54:52 Heat of formation + Delta-G solvation = -46.526908 kcal Electronic energy + Delta-G solvation = -30685.748361 eV Core-core repulsion = 26751.224595 eV Total energy + Delta-G solvation = -3934.523765 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.97 seconds Orbital eigenvalues (eV) -41.42817 -39.40843 -38.20195 -36.99815 -35.95902 -33.56960 -32.27154 -31.14750 -29.10301 -27.88874 -27.62841 -27.12214 -26.79063 -24.66437 -24.50384 -22.79220 -21.70608 -20.19529 -19.85779 -19.49700 -18.77490 -17.34877 -16.79994 -16.69184 -16.14877 -15.75685 -15.20690 -14.69804 -14.67402 -14.49324 -14.35263 -14.01672 -13.86317 -13.73868 -13.55705 -13.08638 -12.99156 -12.81762 -12.56838 -12.49447 -12.35919 -12.05497 -11.97493 -11.93102 -11.75664 -11.64403 -11.33752 -11.19364 -11.15015 -10.97751 -10.87965 -10.79280 -10.66281 -10.56579 -10.08877 -9.98894 -9.79658 -9.75177 -9.54552 -9.20936 -8.76766 -8.54744 -6.76527 -5.65544 -2.98315 0.68922 2.43534 2.75068 3.44242 3.48127 3.49489 3.66015 4.15441 4.47266 4.49546 4.53580 4.67264 4.82891 4.84710 4.89562 4.96431 5.18733 5.21629 5.29349 5.34539 5.43379 5.45683 5.48123 5.51369 5.54107 5.55736 5.60531 5.65040 5.70710 5.72145 5.77348 5.79171 5.87079 5.92257 5.96427 5.97303 6.03121 6.09238 6.22720 6.27111 6.37522 6.48344 6.59975 6.63850 6.71038 6.79275 7.03421 7.12265 7.61873 7.68868 7.73917 7.87987 8.31674 9.27880 9.88804 10.55687 11.46360 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.017854 B = 0.002611 C = 0.002356 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1567.863258 B =10719.689852 C =11881.196151 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.136 4.136 2 C -0.095 4.095 3 C -0.143 4.143 4 C -0.146 4.146 5 C 0.363 3.637 6 O -0.414 6.414 7 C 0.473 3.527 8 O -0.504 6.504 9 N -0.583 5.583 10 C 0.075 3.925 11 C -0.135 4.135 12 C -0.116 4.116 13 C -0.085 4.085 14 H 0.074 0.926 15 C -0.095 4.095 16 H 0.074 0.926 17 C -0.136 4.136 18 C 0.178 3.822 19 N -0.607 5.607 20 C -0.226 4.226 21 H 0.076 0.924 22 C -0.010 4.010 23 N -0.924 5.924 24 Si 0.911 3.089 25 H -0.285 1.285 26 H -0.291 1.291 27 H -0.285 1.285 28 C 0.141 3.859 29 C 0.109 3.891 30 H 0.061 0.939 31 H 0.067 0.933 32 H 0.061 0.939 33 H 0.078 0.922 34 H 0.071 0.929 35 H 0.056 0.944 36 H 0.055 0.945 37 H 0.069 0.931 38 H 0.085 0.915 39 H 0.070 0.930 40 H 0.121 0.879 41 H 0.075 0.925 42 H 0.064 0.936 43 H 0.063 0.937 44 H 0.071 0.929 45 H 0.054 0.946 46 H 0.057 0.943 47 H 0.041 0.959 48 H 0.045 0.955 49 H 0.252 0.748 50 H 0.036 0.964 51 H 0.017 0.983 52 H 0.099 0.901 53 H 0.072 0.928 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -25.683 -0.164 -5.504 26.267 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 -0.193 4.193 2 C -0.097 4.097 3 C -0.201 4.201 4 C -0.203 4.203 5 C 0.234 3.766 6 O -0.285 6.285 7 C 0.258 3.742 8 O -0.380 6.380 9 N -0.317 5.317 10 C -0.047 4.047 11 C -0.173 4.173 12 C -0.154 4.154 13 C -0.105 4.105 14 H 0.093 0.907 15 C -0.115 4.115 16 H 0.092 0.908 17 C -0.174 4.174 18 C 0.053 3.947 19 N -0.334 5.334 20 C -0.354 4.354 21 H 0.094 0.906 22 C -0.206 4.206 23 N -0.572 5.572 24 Si 0.742 3.258 25 H -0.212 1.212 26 H -0.217 1.217 27 H -0.212 1.212 28 C 0.015 3.985 29 C -0.012 4.012 30 H 0.080 0.920 31 H 0.086 0.914 32 H 0.080 0.920 33 H 0.097 0.903 34 H 0.090 0.910 35 H 0.075 0.925 36 H 0.074 0.926 37 H 0.088 0.912 38 H 0.104 0.896 39 H 0.089 0.911 40 H 0.139 0.861 41 H 0.094 0.906 42 H 0.083 0.917 43 H 0.082 0.918 44 H 0.090 0.910 45 H 0.073 0.927 46 H 0.076 0.924 47 H 0.059 0.941 48 H 0.063 0.937 49 H 0.062 0.938 50 H 0.054 0.946 51 H 0.035 0.965 52 H 0.117 0.883 53 H 0.091 0.909 Dipole moment (debyes) X Y Z Total from point charges -25.446 -0.243 -5.472 26.029 hybrid contribution 1.036 -0.093 -0.220 1.063 sum -24.411 -0.336 -5.692 25.068 Atomic orbital electron populations 1.21789 0.92150 1.02796 1.02561 1.20974 0.97339 0.97408 0.93933 1.21894 1.03177 0.92367 1.02633 1.21947 1.03834 0.99543 0.94955 1.25052 0.88916 0.75926 0.86660 1.90194 1.59026 1.36786 1.42448 1.20787 0.90588 0.79593 0.83263 1.90736 1.56834 1.46898 1.43515 1.48273 1.10073 1.61636 1.11692 1.22674 0.94887 1.01324 0.85789 1.21958 0.97348 1.00564 0.97462 1.21613 0.93792 1.01461 0.98502 1.21455 0.94862 1.00469 0.93713 0.90742 1.22317 0.91649 0.99876 0.97666 0.90760 1.22881 0.99500 0.98818 0.96205 1.21210 0.88075 1.00643 0.84753 1.44594 1.00014 1.86184 1.02572 1.19034 0.82200 1.42860 0.91325 0.90571 1.24788 0.97678 1.02423 0.95720 1.69955 1.26106 1.56742 1.04393 0.86208 0.83546 0.77889 0.78189 1.21206 1.21651 1.21213 1.21573 0.86206 0.96944 0.93761 1.21935 0.79300 0.99704 1.00241 0.91981 0.91415 0.91979 0.90335 0.90979 0.92464 0.92614 0.91211 0.89595 0.91136 0.86148 0.90643 0.91712 0.91783 0.91017 0.92699 0.92434 0.94125 0.93724 0.93809 0.94568 0.96496 0.88290 0.90949 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 -0.14 -0.94 7.76 37.16 0.29 -0.65 16 2 C -0.09 -0.80 0.76 -155.66 -0.12 -0.92 16 3 C -0.14 -1.15 8.29 37.16 0.31 -0.84 16 4 C -0.15 -1.19 8.29 37.16 0.31 -0.88 16 5 C 0.36 3.79 5.86 -29.81 -0.17 3.62 16 6 O -0.41 -4.49 12.85 5.98 0.08 -4.41 16 7 C 0.47 5.93 7.35 -11.76 -0.09 5.85 16 8 O -0.50 -7.39 12.91 5.48 0.07 -7.32 16 9 N -0.58 -7.05 2.97 -173.41 -0.52 -7.57 16 10 C 0.07 0.75 5.96 -3.71 -0.02 0.73 16 11 C -0.14 -1.30 6.08 -26.62 -0.16 -1.46 16 12 C -0.12 -1.30 4.97 -26.69 -0.13 -1.43 16 13 C -0.09 -1.16 1.86 -90.50 -0.17 -1.33 16 14 H 0.07 1.11 8.08 -51.93 -0.42 0.69 16 15 C -0.10 -1.61 2.56 -88.47 -0.23 -1.84 16 16 H 0.07 1.26 8.14 -51.93 -0.42 0.84 16 17 C -0.14 -2.50 5.27 -24.89 -0.13 -2.63 16 18 C 0.18 4.38 5.39 -2.81 -0.02 4.37 16 19 N -0.61 -15.91 3.41 -169.69 -0.58 -16.49 16 20 C -0.23 -6.47 10.28 -15.06 -0.15 -6.62 16 21 H 0.08 2.11 7.83 -52.48 -0.41 1.70 16 22 C -0.01 -0.30 5.49 -17.43 -0.10 -0.39 16 23 N -0.92 -27.69 10.31 55.49 0.57 -27.12 16 24 Si 0.91 22.58 29.55 -169.99 -5.02 17.56 16 25 H -0.29 -6.98 7.11 56.52 0.40 -6.58 16 26 H -0.29 -7.23 7.11 56.52 0.40 -6.83 16 27 H -0.29 -6.96 7.11 56.52 0.40 -6.56 16 28 C 0.14 2.98 6.06 -2.53 -0.02 2.96 16 29 C 0.11 1.44 5.51 -3.70 -0.02 1.42 16 30 H 0.06 0.44 8.10 -51.93 -0.42 0.02 16 31 H 0.07 0.37 8.14 -51.93 -0.42 -0.06 16 32 H 0.06 0.44 8.10 -51.93 -0.42 0.02 16 33 H 0.08 0.78 6.72 -51.93 -0.35 0.43 16 34 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 35 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 36 H 0.05 0.43 8.14 -51.93 -0.42 0.01 16 37 H 0.07 0.45 8.14 -51.93 -0.42 0.03 16 38 H 0.09 0.87 6.18 -51.93 -0.32 0.55 16 39 H 0.07 0.66 8.14 -51.93 -0.42 0.24 16 40 H 0.12 1.21 4.39 -54.39 -0.24 0.97 16 41 H 0.07 0.60 8.14 -51.93 -0.42 0.17 16 42 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 43 H 0.06 0.69 8.14 -51.93 -0.42 0.27 16 44 H 0.07 0.82 7.21 -51.93 -0.37 0.45 16 45 H 0.05 0.97 8.04 -51.93 -0.42 0.55 16 46 H 0.06 0.95 8.08 -51.93 -0.42 0.53 16 47 H 0.04 1.11 7.51 -51.93 -0.39 0.72 16 48 H 0.04 1.21 7.39 -51.93 -0.38 0.83 16 49 H 0.25 7.33 8.31 -40.82 -0.34 6.99 16 50 H 0.04 0.75 8.14 -51.93 -0.42 0.33 16 51 H 0.02 0.37 7.99 -51.93 -0.41 -0.04 16 52 H 0.10 1.49 6.61 -51.93 -0.34 1.14 16 53 H 0.07 0.90 8.14 -51.93 -0.42 0.48 16 LS Contribution 399.31 15.07 6.02 6.02 Total: -1.00 -31.69 399.31 -9.53 -41.22 By element: Atomic # 1 Polarization: 7.69 SS G_CDS: -9.53 Total: -1.84 kcal Atomic # 6 Polarization: 0.57 SS G_CDS: -0.62 Total: -0.05 kcal Atomic # 7 Polarization: -50.66 SS G_CDS: -0.52 Total: -51.18 kcal Atomic # 8 Polarization: -11.88 SS G_CDS: 0.15 Total: -11.73 kcal Atomic # 14 Polarization: 22.58 SS G_CDS: -5.02 Total: 17.56 kcal Total LS contribution 6.02 Total: 6.02 kcal Total: -31.69 -9.53 -41.22 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. ZINC000961155278.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 -5.306 kcal (2) G-P(sol) polarization free energy of solvation -31.690 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -36.996 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.531 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.221 kcal (6) G-S(sol) free energy of system = (1) + (5) -46.527 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.97 seconds