Wall clock time and date at job start Tue Mar 31 2020 20:25:47 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 1.52997 * 1 3 3 C 1.52997 * 109.47232 * 2 1 4 4 C 1.50699 * 109.47265 * 239.99899 * 2 1 3 5 5 H 1.08003 * 119.99962 * 239.99845 * 4 2 1 6 6 C 1.37874 * 120.00270 * 60.00237 * 4 2 1 7 7 N 1.31522 * 119.99834 * 359.97438 * 6 4 2 8 8 Si 1.86793 * 120.00496 * 180.02562 * 6 4 2 9 9 H 1.48508 * 109.47141 * 359.97438 * 8 6 4 10 10 H 1.48501 * 109.47494 * 119.99680 * 8 6 4 11 11 H 1.48505 * 109.47047 * 239.99860 * 8 6 4 12 12 C 1.53006 * 109.47164 * 120.00099 * 2 1 3 13 13 N 1.46500 * 109.46998 * 300.00051 * 12 2 1 14 14 C 1.34769 * 120.00241 * 180.02562 * 13 12 2 15 15 O 1.21353 * 120.00155 * 359.97438 * 14 13 12 16 16 C 1.49452 * 120.00169 * 180.02562 * 14 13 12 17 17 O 1.21346 * 120.00038 * 0.02562 * 16 14 13 18 18 N 1.34779 * 120.00093 * 179.97438 * 16 14 13 19 19 C 1.46500 * 120.00165 * 179.97438 * 18 16 14 20 20 H 1.08996 * 115.54816 * 350.66932 * 19 18 16 21 21 C 1.52999 * 117.49938 * 136.38058 * 19 18 16 22 22 C 1.52997 * 117.49868 * 205.00409 * 19 18 16 23 23 H 1.08998 * 117.50244 * 144.99802 * 22 19 18 24 24 C 1.53001 * 117.49963 * 359.97438 * 22 19 18 25 25 C 1.53000 * 109.47106 * 180.02562 * 24 22 19 26 26 C 1.53001 * 109.47106 * 179.97438 * 25 24 22 27 27 C 1.53003 * 109.47187 * 60.00245 * 26 25 24 28 28 C 1.53000 * 109.46898 * 299.99882 * 27 26 25 29 29 C 1.52996 * 109.47151 * 60.00168 * 24 22 19 30 30 H 1.09001 * 109.47375 * 299.99867 * 1 2 3 31 31 H 1.09002 * 109.46777 * 60.00422 * 1 2 3 32 32 H 1.09000 * 109.47140 * 179.97438 * 1 2 3 33 33 H 1.09004 * 109.47261 * 179.97438 * 3 2 1 34 34 H 1.09002 * 109.47153 * 299.99992 * 3 2 1 35 35 H 1.09001 * 109.47289 * 60.00075 * 3 2 1 36 36 H 0.96992 * 120.00032 * 180.02562 * 7 6 4 37 37 H 1.09000 * 109.47050 * 59.99996 * 12 2 1 38 38 H 1.09001 * 109.46801 * 180.02562 * 12 2 1 39 39 H 0.97010 * 119.99910 * 359.97438 * 13 12 2 40 40 H 0.97004 * 119.99472 * 0.02562 * 18 16 14 41 41 H 1.08995 * 117.49784 * 214.98100 * 21 19 18 42 42 H 1.09002 * 117.49641 * 359.97438 * 21 19 18 43 43 H 1.09006 * 109.47242 * 300.00084 * 24 22 19 44 44 H 1.08998 * 109.47469 * 299.99640 * 25 24 22 45 45 H 1.08997 * 109.47137 * 60.00243 * 25 24 22 46 46 H 1.08998 * 109.47568 * 300.00032 * 26 25 24 47 47 H 1.09000 * 109.47109 * 179.97438 * 26 25 24 48 48 H 1.08994 * 109.47457 * 180.02562 * 27 26 25 49 49 H 1.08998 * 109.47040 * 59.99464 * 27 26 25 50 50 H 1.09004 * 109.47507 * 300.00008 * 28 27 26 51 51 H 1.08997 * 109.47137 * 179.97438 * 28 27 26 52 52 H 1.08997 * 109.47437 * 300.00043 * 29 24 22 53 53 H 1.09006 * 109.47116 * 59.99839 * 29 24 22 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 2.0323 -0.7104 -1.2304 5 1 2.6533 -1.5885 -1.1313 6 6 1.6994 -0.2394 -2.4827 7 7 0.9428 0.8296 -2.6034 8 14 2.3214 -1.1204 -4.0079 9 1 3.1465 -2.2871 -3.6037 10 1 1.1662 -1.5867 -4.8161 11 1 3.1467 -0.1873 -4.8164 12 6 2.0400 -0.7213 1.2493 13 7 1.5516 -0.0307 2.4454 14 6 1.8776 -0.4908 3.6695 15 8 2.5753 -1.4774 3.7809 16 6 1.3789 0.2134 4.8898 17 8 0.6801 1.1992 4.7784 18 7 1.7045 -0.2470 6.1139 19 6 1.2162 0.4436 7.3101 20 1 0.7322 1.4041 7.1336 21 6 0.6794 -0.4189 8.4541 22 6 2.0288 0.2878 8.5970 23 1 2.0795 1.1459 9.2672 24 6 3.2890 -0.5777 8.5363 25 6 3.9540 -0.6075 9.9139 26 6 5.2139 -1.4736 9.8534 27 6 6.1877 -0.8866 8.8296 28 6 5.5226 -0.8568 7.4521 29 6 4.2622 0.0095 7.5122 30 1 -0.3634 0.5138 0.8900 31 1 -0.3633 0.5138 -0.8901 32 1 -0.3633 -1.0277 -0.0005 33 1 3.1300 1.4425 0.0005 34 1 1.6767 1.9563 -0.8900 35 1 1.6767 1.9563 0.8900 36 1 0.7083 1.1608 -3.4844 37 1 1.6767 -1.7490 1.2492 38 1 3.1300 -0.7209 1.2494 39 1 0.9942 0.7583 2.3564 40 1 2.2628 -1.0353 6.2028 41 1 -0.1581 -0.0259 9.0305 42 1 0.6892 -1.5002 8.3166 43 1 3.0194 -1.5919 8.2414 44 1 4.2237 0.4065 10.2093 45 1 3.2605 -1.0261 10.6432 46 1 4.9440 -2.4875 9.5583 47 1 5.6879 -1.4944 10.8347 48 1 7.0850 -1.5038 8.7862 49 1 6.4575 0.1274 9.1248 50 1 5.2526 -1.8708 7.1569 51 1 6.2162 -0.4382 6.7228 52 1 3.7883 0.0304 6.5309 53 1 4.5318 1.0237 7.8071 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 ZINC001325976025.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 20:25:47 Heat of formation + Delta-G solvation = -75.788461 kcal Electronic energy + Delta-G solvation = -29864.179045 eV Core-core repulsion = 25928.386404 eV Total energy + Delta-G solvation = -3935.792641 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) -40.69776 -39.53609 -38.25129 -36.86464 -36.47405 -33.65013 -32.88954 -30.94417 -30.89803 -30.69657 -26.50172 -25.72934 -25.33674 -24.06974 -23.59035 -22.79407 -21.91596 -20.47879 -20.35710 -19.82150 -19.02497 -18.22103 -16.91501 -16.08582 -15.74858 -15.64547 -15.40922 -15.19333 -14.79358 -14.62506 -14.40989 -14.16721 -14.09019 -13.79854 -13.41480 -12.94759 -12.92952 -12.72484 -12.67270 -12.41260 -12.23077 -12.04301 -11.51492 -11.47221 -11.42595 -11.40657 -11.29087 -11.19308 -10.90114 -10.81851 -10.67990 -10.63687 -10.44104 -10.41038 -10.20880 -10.07312 -9.66212 -9.56086 -9.24705 -8.90167 -8.80222 -8.61448 -8.38246 -6.03478 -4.14209 1.59870 2.48695 3.26412 3.30227 3.35164 3.39149 3.63613 3.85510 4.17083 4.38118 4.40728 4.45247 4.60790 4.62850 4.76381 4.80595 4.96010 5.06518 5.17413 5.23255 5.26159 5.27760 5.30998 5.38217 5.45548 5.50038 5.62351 5.76642 5.79622 5.88321 5.91493 5.93854 6.04897 6.10094 6.11431 6.20670 6.22470 6.23644 6.46032 6.61509 6.81326 6.84403 6.93034 6.99581 7.07775 7.32541 7.54363 7.65399 7.70129 7.94771 7.99375 8.11788 8.30779 8.39830 8.86275 9.51791 10.97989 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.019349 B = 0.002283 C = 0.002120 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1446.731684 B =12261.794932 C =13203.849344 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.134 4.134 2 C 0.056 3.944 3 C -0.134 4.134 4 C -0.506 4.506 5 H 0.059 0.941 6 C 0.066 3.934 7 N -0.884 5.884 8 Si 0.894 3.106 9 H -0.273 1.273 10 H -0.284 1.284 11 H -0.284 1.284 12 C 0.128 3.872 13 N -0.679 5.679 14 C 0.496 3.504 15 O -0.535 6.535 16 C 0.510 3.490 17 O -0.518 6.518 18 N -0.676 5.676 19 C 0.082 3.918 20 H 0.140 0.860 21 C -0.186 4.186 22 C -0.151 4.151 23 H 0.114 0.886 24 C -0.059 4.059 25 C -0.108 4.108 26 C -0.120 4.120 27 C -0.120 4.120 28 C -0.121 4.121 29 C -0.122 4.122 30 H 0.008 0.992 31 H 0.087 0.913 32 H 0.027 0.973 33 H 0.027 0.973 34 H 0.087 0.913 35 H 0.008 0.992 36 H 0.260 0.740 37 H 0.062 0.938 38 H 0.062 0.938 39 H 0.411 0.589 40 H 0.414 0.586 41 H 0.103 0.897 42 H 0.099 0.901 43 H 0.070 0.930 44 H 0.062 0.938 45 H 0.062 0.938 46 H 0.061 0.939 47 H 0.059 0.941 48 H 0.059 0.941 49 H 0.060 0.940 50 H 0.063 0.937 51 H 0.063 0.937 52 H 0.071 0.929 53 H 0.063 0.937 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 4.057 -1.123 24.928 25.281 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 -0.192 4.192 2 C 0.055 3.945 3 C -0.191 4.191 4 C -0.545 4.545 5 H 0.077 0.923 6 C -0.136 4.136 7 N -0.523 5.523 8 Si 0.722 3.278 9 H -0.198 1.198 10 H -0.211 1.211 11 H -0.211 1.211 12 C 0.006 3.994 13 N -0.330 5.330 14 C 0.275 3.725 15 O -0.413 6.413 16 C 0.292 3.708 17 O -0.393 6.393 18 N -0.329 5.329 19 C -0.024 4.024 20 H 0.158 0.842 21 C -0.225 4.225 22 C -0.170 4.170 23 H 0.132 0.868 24 C -0.078 4.078 25 C -0.146 4.146 26 C -0.158 4.158 27 C -0.157 4.157 28 C -0.159 4.159 29 C -0.159 4.159 30 H 0.027 0.973 31 H 0.106 0.894 32 H 0.047 0.953 33 H 0.047 0.953 34 H 0.106 0.894 35 H 0.027 0.973 36 H 0.070 0.930 37 H 0.080 0.920 38 H 0.080 0.920 39 H 0.248 0.752 40 H 0.252 0.748 41 H 0.122 0.878 42 H 0.117 0.883 43 H 0.089 0.911 44 H 0.081 0.919 45 H 0.080 0.920 46 H 0.080 0.920 47 H 0.078 0.922 48 H 0.078 0.922 49 H 0.079 0.921 50 H 0.082 0.918 51 H 0.082 0.918 52 H 0.090 0.910 53 H 0.081 0.919 Dipole moment (debyes) X Y Z Total from point charges 3.966 -0.999 24.703 25.039 hybrid contribution 0.264 -0.454 -0.784 0.944 sum 4.230 -1.453 23.919 24.333 Atomic orbital electron populations 1.21859 0.97585 0.99299 1.00413 1.18388 0.92984 0.92870 0.90274 1.21859 0.98622 0.98254 1.00410 1.20983 1.31593 1.12143 0.89751 0.92303 1.24889 0.94842 0.94922 0.98898 1.69819 1.36521 1.22721 1.23197 0.86502 0.78623 0.79713 0.82946 1.19762 1.21054 1.21056 1.21954 0.98555 0.96041 0.82820 1.46222 1.50345 1.31360 1.05117 1.19915 0.82456 0.85257 0.84889 1.90728 1.37920 1.25914 1.86744 1.20507 0.80796 0.84646 0.84852 1.90746 1.36317 1.25446 1.86742 1.45265 1.52010 1.31652 1.03979 1.21718 1.02038 0.98440 0.80160 0.84200 1.23592 0.97242 0.99695 1.01952 1.22916 0.92289 1.02071 0.99774 0.86838 1.20756 0.92772 0.98218 0.96016 1.21521 0.96588 1.00290 0.96193 1.21541 0.95905 0.99372 0.98959 1.21544 0.97997 1.00975 0.95214 1.21555 0.97021 1.00478 0.96839 1.21745 0.95450 0.99325 0.99413 0.97256 0.89424 0.95340 0.95339 0.89423 0.97264 0.92992 0.91975 0.91971 0.75160 0.74783 0.87818 0.88287 0.91137 0.91912 0.91957 0.91996 0.92176 0.92217 0.92144 0.91814 0.91850 0.91032 0.91869 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 -0.13 -3.06 8.08 37.16 0.30 -2.76 16 2 C 0.06 1.28 0.50 -155.66 -0.08 1.21 16 3 C -0.13 -3.05 8.08 37.16 0.30 -2.75 16 4 C -0.51 -13.08 8.01 -34.44 -0.28 -13.36 16 5 H 0.06 1.53 7.74 -52.48 -0.41 1.12 16 6 C 0.07 1.72 5.15 -17.82 -0.09 1.63 16 7 N -0.88 -23.54 9.35 55.43 0.52 -23.02 16 8 Si 0.89 20.56 29.54 -169.99 -5.02 15.54 16 9 H -0.27 -6.25 7.11 56.52 0.40 -5.85 16 10 H -0.28 -6.55 7.11 56.52 0.40 -6.15 16 11 H -0.28 -6.55 7.11 56.52 0.40 -6.15 16 12 C 0.13 2.66 4.50 -4.04 -0.02 2.65 16 13 N -0.68 -12.54 4.95 -60.73 -0.30 -12.84 16 14 C 0.50 8.63 7.89 -11.59 -0.09 8.54 16 15 O -0.53 -10.09 16.48 5.49 0.09 -10.00 16 16 C 0.51 7.78 7.89 -11.58 -0.09 7.69 16 17 O -0.52 -8.86 16.04 5.50 0.09 -8.77 16 18 N -0.68 -8.00 3.78 -54.24 -0.20 -8.20 16 19 C 0.08 0.80 6.22 -67.93 -0.42 0.37 16 20 H 0.14 1.47 7.40 -51.93 -0.38 1.09 16 21 C -0.19 -1.39 10.10 -26.73 -0.27 -1.66 16 22 C -0.15 -1.12 5.15 -90.62 -0.47 -1.58 16 23 H 0.11 0.73 8.11 -51.93 -0.42 0.31 16 24 C -0.06 -0.44 1.70 -90.62 -0.15 -0.60 16 25 C -0.11 -0.71 5.19 -26.73 -0.14 -0.85 16 26 C -0.12 -0.79 5.92 -26.73 -0.16 -0.95 16 27 C -0.12 -0.87 5.92 -26.73 -0.16 -1.03 16 28 C -0.12 -1.05 5.92 -26.70 -0.16 -1.21 16 29 C -0.12 -1.08 4.87 -26.70 -0.13 -1.21 16 30 H 0.01 0.18 6.86 -51.93 -0.36 -0.18 16 31 H 0.09 2.21 6.07 -51.93 -0.32 1.89 16 32 H 0.03 0.63 8.14 -51.93 -0.42 0.21 16 33 H 0.03 0.63 8.14 -51.93 -0.42 0.21 16 34 H 0.09 2.20 6.07 -51.93 -0.32 1.89 16 35 H 0.01 0.18 6.86 -51.93 -0.36 -0.18 16 36 H 0.26 6.67 8.31 -40.82 -0.34 6.33 16 37 H 0.06 1.32 8.14 -51.93 -0.42 0.90 16 38 H 0.06 1.32 8.14 -51.93 -0.42 0.90 16 39 H 0.41 7.50 5.64 -40.82 -0.23 7.27 16 40 H 0.41 4.63 6.28 -40.82 -0.26 4.38 16 41 H 0.10 0.65 8.14 -51.93 -0.42 0.23 16 42 H 0.10 0.74 8.05 -51.93 -0.42 0.33 16 43 H 0.07 0.56 7.61 -51.93 -0.40 0.16 16 44 H 0.06 0.40 8.14 -51.93 -0.42 -0.02 16 45 H 0.06 0.38 8.14 -51.93 -0.42 -0.05 16 46 H 0.06 0.42 8.14 -51.93 -0.42 0.00 16 47 H 0.06 0.35 8.14 -51.93 -0.42 -0.07 16 48 H 0.06 0.41 8.14 -51.93 -0.42 -0.01 16 49 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 50 H 0.06 0.57 8.14 -51.93 -0.42 0.15 16 51 H 0.06 0.57 8.14 -51.93 -0.42 0.15 16 52 H 0.07 0.76 5.39 -51.93 -0.28 0.48 16 53 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 LS Contribution 406.95 15.07 6.13 6.13 Total: -1.00 -27.55 406.95 -9.99 -37.54 By element: Atomic # 1 Polarization: 18.68 SS G_CDS: -9.19 Total: 9.49 kcal Atomic # 6 Polarization: -3.76 SS G_CDS: -2.10 Total: -5.87 kcal Atomic # 7 Polarization: -44.08 SS G_CDS: 0.01 Total: -44.06 kcal Atomic # 8 Polarization: -18.94 SS G_CDS: 0.18 Total: -18.76 kcal Atomic # 14 Polarization: 20.56 SS G_CDS: -5.02 Total: 15.54 kcal Total LS contribution 6.13 Total: 6.13 kcal Total: -27.55 -9.99 -37.54 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. ZINC001325976025.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 -38.252 kcal (2) G-P(sol) polarization free energy of solvation -27.548 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -65.800 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.989 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -37.536 kcal (6) G-S(sol) free energy of system = (1) + (5) -75.788 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.97 seconds