Wall clock time and date at job start Sat Apr 11 2020 06:13:11 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 1.46901 * 1 3 3 C 1.46903 * 110.99788 * 2 1 4 4 C 1.46901 * 110.99975 * 123.94949 * 2 1 3 5 5 C 1.53000 * 109.46769 * 66.05138 * 4 2 1 6 6 C 1.53001 * 109.46886 * 180.02562 * 5 4 2 7 7 C 1.50697 * 109.47291 * 179.97438 * 6 5 4 8 8 O 1.21288 * 120.00038 * 359.97438 * 7 6 5 9 9 N 1.34777 * 120.00369 * 179.97438 * 7 6 5 10 10 C 1.47017 * 125.64800 * 359.68971 * 9 7 6 11 11 C 1.54317 * 107.27803 * 180.96857 * 10 9 7 12 12 C 1.55150 * 102.86132 * 22.52713 * 11 10 9 13 13 H 1.09001 * 111.00958 * 82.37842 * 12 11 10 14 14 C 1.52998 * 111.00645 * 206.23045 * 12 11 10 15 15 N 1.46908 * 109.46834 * 287.19961 * 14 12 11 16 16 C 1.46906 * 110.99621 * 179.97438 * 15 14 12 17 17 C 1.50701 * 109.46558 * 179.97438 * 16 15 14 18 18 O 1.21288 * 120.00456 * 0.02562 * 17 16 15 19 19 N 1.34782 * 119.99654 * 179.97438 * 17 16 15 20 20 C 1.37094 * 119.99826 * 180.02562 * 19 17 16 21 21 H 1.08009 * 119.99984 * 359.97438 * 20 19 17 22 22 C 1.38954 * 119.99918 * 180.02562 * 20 19 17 23 23 N 1.31416 * 119.99782 * 179.97438 * 22 20 19 24 24 Si 1.86795 * 120.00067 * 359.97438 * 22 20 19 25 25 H 1.48501 * 109.46970 * 89.99799 * 24 22 20 26 26 H 1.48497 * 109.47224 * 210.00191 * 24 22 20 27 27 H 1.48502 * 109.47185 * 330.00208 * 24 22 20 28 28 C 1.47423 * 125.64938 * 180.02562 * 9 7 6 29 29 H 1.09001 * 109.47121 * 296.04690 * 1 2 3 30 30 H 1.09005 * 109.47342 * 56.04784 * 1 2 3 31 31 H 1.08999 * 109.46894 * 176.04703 * 1 2 3 32 32 H 1.08998 * 109.46995 * 183.95294 * 3 2 1 33 33 H 1.09001 * 109.46977 * 303.95046 * 3 2 1 34 34 H 1.08998 * 109.47089 * 63.95199 * 3 2 1 35 35 H 1.09002 * 109.47401 * 306.04845 * 4 2 1 36 36 H 1.09001 * 109.46874 * 186.04858 * 4 2 1 37 37 H 1.09001 * 109.47194 * 299.99524 * 5 4 2 38 38 H 1.08992 * 109.47399 * 59.99697 * 5 4 2 39 39 H 1.09001 * 109.47109 * 299.99380 * 6 5 4 40 40 H 1.09002 * 109.47508 * 59.99571 * 6 5 4 41 41 H 1.09004 * 109.88204 * 300.51498 * 10 9 7 42 42 H 1.09005 * 109.88068 * 61.67886 * 10 9 7 43 43 H 1.09000 * 110.92402 * 264.11405 * 11 10 9 44 44 H 1.08999 * 110.74052 * 140.85674 * 11 10 9 45 45 H 1.09001 * 109.47196 * 47.19266 * 14 12 11 46 46 H 1.09000 * 109.47866 * 167.19801 * 14 12 11 47 47 H 1.00894 * 111.00314 * 56.04181 * 15 14 12 48 48 H 1.08993 * 109.46871 * 299.99388 * 16 15 14 49 49 H 1.08999 * 109.47154 * 60.00156 * 16 15 14 50 50 H 0.96998 * 119.99752 * 0.02562 * 19 17 16 51 51 H 0.97002 * 119.99462 * 179.97438 * 23 22 20 52 52 H 1.09001 * 110.36616 * 274.67341 * 28 9 7 53 53 H 1.09002 * 110.36878 * 36.88341 * 28 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 7 1.4690 0.0000 0.0000 3 6 1.9954 1.3715 0.0000 4 6 1.9954 -0.7659 1.1377 5 6 1.6315 -2.2425 0.9704 6 6 2.1793 -3.0402 2.1556 7 6 1.8203 -4.4945 1.9912 8 8 1.1882 -4.8573 1.0218 9 7 2.2017 -5.3921 2.9214 10 6 2.9735 -5.0918 4.1362 11 6 3.1937 -6.4255 4.8807 12 6 3.0300 -7.4805 3.7550 13 1 3.9538 -7.5932 3.1876 14 6 2.5720 -8.8244 4.3252 15 7 3.6871 -9.4578 5.0418 16 6 3.2831 -10.7532 5.6047 17 6 4.4503 -11.3716 6.3300 18 8 5.5140 -10.7904 6.3741 19 7 4.3120 -12.5703 6.9306 20 6 5.3737 -13.1327 7.5909 21 1 6.3211 -12.6154 7.6294 22 6 5.2313 -14.3687 8.2096 23 7 6.2492 -14.9080 8.8421 24 14 3.5930 -15.2636 8.1424 25 1 3.5556 -16.1380 6.9427 26 1 3.4310 -16.0920 9.3641 27 1 2.4901 -14.2721 8.0668 28 6 1.9201 -6.8388 2.8859 29 1 -0.3633 0.4513 0.9233 30 1 -0.3634 0.5740 -0.8525 31 1 -0.3633 -1.0252 -0.0708 32 1 3.0827 1.3433 -0.0708 33 1 1.5898 1.9163 -0.8525 34 1 1.7043 1.8724 0.9233 35 1 1.5611 -0.3871 2.0629 36 1 3.0797 -0.6609 1.1757 37 1 0.5472 -2.3475 0.9324 38 1 2.0658 -2.6213 0.0452 39 1 3.2635 -2.9354 2.1940 40 1 1.7446 -2.6613 3.0806 41 1 3.9340 -4.6529 3.8661 42 1 2.4142 -4.4036 4.7700 43 1 2.4401 -6.5679 5.6553 44 1 4.1959 -6.4687 5.3070 45 1 1.7425 -8.6632 5.0137 46 1 2.2479 -9.4730 3.5114 47 1 4.0480 -8.8483 5.7603 48 1 2.4587 -10.6049 6.3022 49 1 2.9636 -11.4153 4.8000 50 1 3.4613 -13.0349 6.8956 51 1 6.1496 -15.7707 9.2743 52 1 0.9382 -7.0446 3.3121 53 1 1.9743 -7.2108 1.8628 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 ZINC001690733063.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 06:13:11 Heat of formation + Delta-G solvation = -66.368722 kcal Electronic energy + Delta-G solvation = -28554.084533 eV Core-core repulsion = 24460.537062 eV Total energy + Delta-G solvation = -4093.547471 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 1.02 seconds Orbital eigenvalues (eV) -40.44858 -38.68732 -38.29285 -37.77025 -35.49157 -33.94542 -33.68066 -32.04052 -31.63397 -29.79654 -28.41409 -28.03363 -27.09539 -25.00782 -23.86594 -23.09326 -22.82413 -21.21753 -20.57537 -19.42147 -19.38373 -18.36245 -17.44657 -16.96635 -16.43376 -16.08556 -15.79711 -15.63576 -15.33857 -15.19172 -14.92132 -14.77302 -14.50837 -14.08488 -13.98215 -13.58134 -13.29573 -13.24854 -13.06179 -12.88438 -12.81693 -12.67241 -12.45555 -12.32319 -12.29395 -12.15190 -12.04547 -11.86785 -11.70580 -11.68491 -11.28200 -11.18275 -11.04000 -10.95935 -10.89244 -10.61038 -10.11262 -9.99110 -9.58970 -8.95662 -8.85091 -8.62402 -8.22211 -8.17376 -6.32733 -3.84227 2.35241 2.62236 3.00944 3.05890 3.13995 3.46970 3.71926 3.91708 4.08640 4.14196 4.24601 4.42399 4.49776 4.59375 4.63949 4.69572 4.80902 4.85867 4.92102 4.94725 4.96599 5.02319 5.11249 5.13192 5.15344 5.20191 5.20785 5.21476 5.32709 5.38924 5.40931 5.48301 5.49617 5.55882 5.60519 5.63194 5.72309 5.78148 5.83765 5.88792 5.91287 5.98723 6.09870 6.52425 6.54449 7.03760 7.20138 7.52684 7.56711 7.87442 8.12739 8.58041 8.93274 9.40762 9.80778 10.80382 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.043455 B = 0.001344 C = 0.001319 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 644.192058 B =20824.683913 C =21226.991842 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.020 3.980 2 N -0.548 5.548 3 C 0.024 3.976 4 C 0.054 3.946 5 C -0.102 4.102 6 C -0.135 4.135 7 C 0.528 3.472 8 O -0.540 6.540 9 N -0.620 5.620 10 C 0.101 3.899 11 C -0.133 4.133 12 C -0.098 4.098 13 H 0.098 0.902 14 C 0.070 3.930 15 N -0.667 5.667 16 C 0.048 3.952 17 C 0.450 3.550 18 O -0.565 6.565 19 N -0.590 5.590 20 C -0.306 4.306 21 H 0.120 0.880 22 C 0.042 3.958 23 N -0.881 5.881 24 Si 0.880 3.120 25 H -0.270 1.270 26 H -0.277 1.277 27 H -0.270 1.270 28 C 0.111 3.889 29 H 0.025 0.975 30 H 0.067 0.933 31 H 0.074 0.926 32 H 0.069 0.931 33 H 0.068 0.932 34 H 0.024 0.976 35 H 0.034 0.966 36 H 0.076 0.924 37 H 0.070 0.930 38 H 0.080 0.920 39 H 0.094 0.906 40 H 0.091 0.909 41 H 0.071 0.929 42 H 0.068 0.932 43 H 0.076 0.924 44 H 0.090 0.910 45 H 0.031 0.969 46 H 0.076 0.924 47 H 0.350 0.650 48 H 0.045 0.955 49 H 0.088 0.912 50 H 0.371 0.629 51 H 0.273 0.727 52 H 0.068 0.932 53 H 0.080 0.920 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -13.678 28.263 -12.514 33.801 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 -0.129 4.129 2 N -0.272 5.272 3 C -0.124 4.124 4 C -0.074 4.074 5 C -0.140 4.140 6 C -0.175 4.175 7 C 0.317 3.683 8 O -0.417 6.417 9 N -0.355 5.355 10 C -0.022 4.022 11 C -0.171 4.171 12 C -0.117 4.117 13 H 0.116 0.884 14 C -0.060 4.060 15 N -0.300 5.300 16 C -0.085 4.085 17 C 0.235 3.765 18 O -0.447 6.447 19 N -0.230 5.230 20 C -0.435 4.435 21 H 0.137 0.863 22 C -0.161 4.161 23 N -0.521 5.521 24 Si 0.706 3.294 25 H -0.196 1.196 26 H -0.202 1.202 27 H -0.195 1.195 28 C -0.012 4.012 29 H 0.043 0.957 30 H 0.086 0.914 31 H 0.092 0.908 32 H 0.087 0.913 33 H 0.087 0.913 34 H 0.043 0.957 35 H 0.052 0.948 36 H 0.094 0.906 37 H 0.089 0.911 38 H 0.098 0.902 39 H 0.113 0.887 40 H 0.109 0.891 41 H 0.089 0.911 42 H 0.086 0.914 43 H 0.095 0.905 44 H 0.109 0.891 45 H 0.049 0.951 46 H 0.094 0.906 47 H 0.170 0.830 48 H 0.063 0.937 49 H 0.106 0.894 50 H 0.203 0.797 51 H 0.084 0.916 52 H 0.086 0.914 53 H 0.099 0.901 Dipole moment (debyes) X Y Z Total from point charges -12.793 27.853 -13.928 33.666 hybrid contribution -2.045 -0.242 1.733 2.692 sum -14.838 27.611 -12.195 33.634 Atomic orbital electron populations 1.22468 0.87240 1.02772 1.00383 1.61943 1.08239 1.13807 1.43222 1.22390 1.00858 0.88690 1.00495 1.22173 1.00269 0.93732 0.91231 1.21343 1.02023 0.92658 0.97980 1.21606 1.03275 0.91561 1.01058 1.20353 0.78992 0.87614 0.81337 1.90723 1.40215 1.80784 1.30012 1.48541 1.55383 1.08478 1.23111 1.22068 0.95861 0.98390 0.85845 1.22773 1.03716 0.92973 0.97621 1.22389 0.99322 0.93760 0.96272 0.88360 1.21857 0.92135 0.93956 0.98025 1.60040 1.32060 1.04574 1.33315 1.21709 0.96107 0.92360 0.98333 1.19704 0.89724 0.83046 0.84008 1.90561 1.28521 1.62516 1.63098 1.42208 1.12950 1.18303 1.49515 1.19438 0.93044 1.02348 1.28639 0.86272 1.25036 0.97579 0.96625 0.96853 1.69625 1.30100 1.17992 1.34385 0.86672 0.83375 0.80457 0.78870 1.19569 1.20184 1.19547 1.22217 0.98141 0.79627 1.01188 0.95681 0.91394 0.90761 0.91257 0.91300 0.95704 0.94772 0.90593 0.91099 0.90159 0.88738 0.89099 0.91050 0.91362 0.90505 0.89102 0.95127 0.90587 0.83020 0.93749 0.89393 0.79678 0.91603 0.91422 0.90131 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 0.02 0.12 9.32 60.07 0.56 0.68 16 2 N -0.55 -3.85 5.02 -251.25 -1.26 -5.12 16 3 C 0.02 0.13 9.57 60.07 0.57 0.70 16 4 C 0.05 0.33 4.96 -3.82 -0.02 0.31 16 5 C -0.10 -0.76 4.43 -26.73 -0.12 -0.87 16 6 C -0.13 -0.88 4.89 -27.88 -0.14 -1.01 16 7 C 0.53 5.40 7.85 -10.99 -0.09 5.32 16 8 O -0.54 -7.65 16.24 5.55 0.09 -7.56 16 9 N -0.62 -5.62 3.33 -170.54 -0.57 -6.19 16 10 C 0.10 0.67 6.48 -3.07 -0.02 0.65 16 11 C -0.13 -0.99 5.90 -24.90 -0.15 -1.14 16 12 C -0.10 -0.89 3.24 -88.49 -0.29 -1.18 16 13 H 0.10 1.03 8.14 -51.93 -0.42 0.60 16 14 C 0.07 0.73 5.18 -3.82 -0.02 0.71 16 15 N -0.67 -9.56 6.13 -115.05 -0.70 -10.26 16 16 C 0.05 0.75 6.17 -4.97 -0.03 0.72 16 17 C 0.45 9.98 7.82 -10.98 -0.09 9.90 16 18 O -0.57 -14.89 15.78 5.55 0.09 -14.80 16 19 N -0.59 -13.86 5.09 -10.96 -0.06 -13.92 16 20 C -0.31 -8.59 10.16 -14.93 -0.15 -8.74 16 21 H 0.12 3.83 7.39 -52.48 -0.39 3.44 16 22 C 0.04 1.14 5.50 -17.46 -0.10 1.05 16 23 N -0.88 -25.57 13.96 55.50 0.77 -24.79 16 24 Si 0.88 19.17 27.74 -169.99 -4.71 14.45 16 25 H -0.27 -5.79 7.11 56.52 0.40 -5.39 16 26 H -0.28 -6.04 7.11 56.52 0.40 -5.64 16 27 H -0.27 -5.34 6.52 56.52 0.37 -4.97 16 28 C 0.11 1.04 6.38 -2.54 -0.02 1.02 16 29 H 0.02 0.14 8.14 -51.93 -0.42 -0.28 16 30 H 0.07 0.37 8.12 -51.93 -0.42 -0.06 16 31 H 0.07 0.49 6.47 -51.93 -0.34 0.16 16 32 H 0.07 0.33 8.12 -51.93 -0.42 -0.09 16 33 H 0.07 0.32 8.12 -51.93 -0.42 -0.10 16 34 H 0.02 0.12 8.14 -51.93 -0.42 -0.30 16 35 H 0.03 0.19 8.12 -51.93 -0.42 -0.23 16 36 H 0.08 0.41 8.06 -51.93 -0.42 -0.01 16 37 H 0.07 0.60 6.51 -51.93 -0.34 0.26 16 38 H 0.08 0.75 8.10 -51.93 -0.42 0.33 16 39 H 0.09 0.48 8.14 -51.93 -0.42 0.06 16 40 H 0.09 0.44 8.14 -51.93 -0.42 0.02 16 41 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 42 H 0.07 0.35 8.14 -51.93 -0.42 -0.07 16 43 H 0.08 0.55 7.91 -51.93 -0.41 0.14 16 44 H 0.09 0.69 8.14 -51.93 -0.42 0.27 16 45 H 0.03 0.29 7.97 -51.93 -0.41 -0.12 16 46 H 0.08 0.77 8.14 -51.93 -0.42 0.35 16 47 H 0.35 5.11 7.93 -39.30 -0.31 4.80 16 48 H 0.04 0.61 8.14 -51.93 -0.42 0.19 16 49 H 0.09 1.25 8.14 -51.93 -0.42 0.83 16 50 H 0.37 7.61 5.76 -40.82 -0.24 7.38 16 51 H 0.27 7.32 8.31 -40.82 -0.34 6.98 16 52 H 0.07 0.61 8.03 -51.93 -0.42 0.19 16 53 H 0.08 0.85 8.03 -51.93 -0.42 0.43 16 LS Contribution 424.39 15.07 6.40 6.40 Total: -1.00 -34.90 424.39 -9.65 -44.55 By element: Atomic # 1 Polarization: 18.73 SS G_CDS: -9.61 Total: 9.12 kcal Atomic # 6 Polarization: 8.19 SS G_CDS: -0.08 Total: 8.11 kcal Atomic # 7 Polarization: -58.46 SS G_CDS: -1.81 Total: -60.28 kcal Atomic # 8 Polarization: -22.54 SS G_CDS: 0.18 Total: -22.36 kcal Atomic # 14 Polarization: 19.17 SS G_CDS: -4.71 Total: 14.45 kcal Total LS contribution 6.40 Total: 6.40 kcal Total: -34.90 -9.65 -44.55 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. ZINC001690733063.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 -21.817 kcal (2) G-P(sol) polarization free energy of solvation -34.904 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -56.721 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.648 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.552 kcal (6) G-S(sol) free energy of system = (1) + (5) -66.369 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.03 seconds