Wall clock time and date at job start Sat Apr 11 2020 06:10:57 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 1.53003 * 1 3 3 C 1.53002 * 109.47094 * 2 1 4 4 C 1.52999 * 109.46911 * 240.00385 * 2 1 3 5 5 C 1.53000 * 109.47240 * 119.99974 * 2 1 3 6 6 H 1.08997 * 109.45905 * 293.54174 * 5 2 1 7 7 C 1.53039 * 109.45550 * 53.51760 * 5 2 1 8 8 C 1.53197 * 109.30738 * 181.38484 * 7 5 2 9 9 N 1.46921 * 108.77511 * 305.36246 * 8 7 5 10 10 C 1.34778 * 120.63105 * 233.58687 * 9 8 7 11 11 O 1.21354 * 120.00336 * 173.80388 * 10 9 8 12 12 C 1.49452 * 120.00205 * 353.80311 * 10 9 8 13 13 O 1.21348 * 119.99959 * 353.36503 * 12 10 9 14 14 N 1.34774 * 120.00275 * 173.36302 * 12 10 9 15 15 C 1.46495 * 120.00014 * 180.02562 * 14 12 10 16 16 C 1.53002 * 109.47205 * 180.02562 * 15 14 12 17 17 C 1.53000 * 109.47208 * 179.97438 * 16 15 14 18 18 C 1.50704 * 109.47063 * 179.97438 * 17 16 15 19 19 H 1.08009 * 119.99861 * 0.02562 * 18 17 16 20 20 C 1.37879 * 120.00202 * 179.97438 * 18 17 16 21 21 N 1.31514 * 120.00224 * 180.02562 * 20 18 17 22 22 Si 1.86806 * 119.99621 * 0.02562 * 20 18 17 23 23 H 1.48506 * 109.46821 * 90.00038 * 22 20 18 24 24 H 1.48498 * 109.46983 * 209.99550 * 22 20 18 25 25 H 1.48495 * 109.47187 * 330.00168 * 22 20 18 26 26 C 1.46923 * 118.74223 * 53.61247 * 9 8 7 27 27 C 1.53036 * 109.45781 * 173.58438 * 5 2 1 28 28 H 1.09004 * 109.49805 * 298.56500 * 27 5 2 29 29 O 1.42903 * 109.50163 * 58.66465 * 27 5 2 30 30 H 1.08996 * 109.46975 * 300.00291 * 1 2 3 31 31 H 1.09003 * 109.47063 * 59.99770 * 1 2 3 32 32 H 1.09003 * 109.47048 * 180.02562 * 1 2 3 33 33 H 1.08997 * 109.47337 * 193.59018 * 3 2 1 34 34 H 1.09006 * 109.47203 * 313.58712 * 3 2 1 35 35 H 1.08998 * 109.46925 * 73.58673 * 3 2 1 36 36 H 1.09004 * 109.47311 * 299.99562 * 4 2 1 37 37 H 1.08999 * 109.47621 * 59.99599 * 4 2 1 38 38 H 1.09000 * 109.47410 * 180.02562 * 4 2 1 39 39 H 1.09001 * 109.49828 * 61.43789 * 7 5 2 40 40 H 1.08996 * 109.52621 * 301.34581 * 7 5 2 41 41 H 1.09005 * 109.58518 * 185.58129 * 8 7 5 42 42 H 1.09001 * 109.70699 * 65.22264 * 8 7 5 43 43 H 0.96998 * 119.99851 * 0.02562 * 14 12 10 44 44 H 1.09000 * 109.47169 * 299.99251 * 15 14 12 45 45 H 1.08999 * 109.47800 * 59.99676 * 15 14 12 46 46 H 1.09007 * 109.47101 * 299.99503 * 16 15 14 47 47 H 1.08996 * 109.47527 * 59.99464 * 16 15 14 48 48 H 1.08998 * 109.46919 * 299.99791 * 17 16 15 49 49 H 1.08999 * 109.46960 * 59.99946 * 17 16 15 50 50 H 0.96993 * 119.99568 * 180.02562 * 21 20 18 51 51 H 1.08999 * 109.58724 * 66.17459 * 26 9 8 52 52 H 1.08994 * 109.59065 * 186.60532 * 26 9 8 53 53 H 0.96699 * 113.99947 * 179.83855 * 29 27 5 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 2.0401 -0.7212 1.2492 6 1 1.7741 -0.1449 2.1353 7 6 1.4011 -2.1093 1.3330 8 6 1.8873 -2.8149 2.6029 9 7 3.3565 -2.8258 2.6048 10 6 4.0344 -3.9808 2.7564 11 8 5.2427 -3.9944 2.6442 12 6 3.2982 -5.2448 3.0627 13 8 2.1074 -5.2126 3.2939 14 7 3.9568 -6.4205 3.0822 15 6 3.2350 -7.6595 3.3820 16 6 4.2082 -8.8395 3.3406 17 6 3.4545 -10.1335 3.6543 18 6 4.4129 -11.2957 3.6130 19 1 5.4555 -11.1281 3.3861 20 6 3.9591 -12.5729 3.8658 21 7 4.7956 -13.5871 3.8302 22 14 2.1560 -12.8626 4.2589 23 1 1.4091 -13.1136 3.0001 24 1 2.0276 -14.0407 5.1538 25 1 1.5980 -11.6641 4.9350 26 6 4.0726 -1.5538 2.4389 27 6 3.5619 -0.8622 1.1709 28 1 3.8275 -1.4595 0.2986 29 8 4.1560 0.4329 1.0617 30 1 -0.3633 0.5139 0.8899 31 1 -0.3633 0.5139 -0.8900 32 1 -0.3633 -1.0277 0.0005 33 1 3.1029 1.4522 -0.2415 34 1 1.4931 2.0213 -0.7444 35 1 1.8874 1.8818 0.9858 36 1 1.6767 -1.7489 -1.2493 37 1 1.6766 -0.2074 -2.1393 38 1 3.1300 -0.7216 -1.2491 39 1 1.6871 -2.6949 0.4593 40 1 0.3162 -2.0096 1.3650 41 1 1.5143 -3.8391 2.6174 42 1 1.5247 -2.2815 3.4816 43 1 4.9088 -6.4462 2.8978 44 1 2.7909 -7.5902 4.3749 45 1 2.4490 -7.8103 2.6421 46 1 4.6528 -8.9091 2.3478 47 1 4.9939 -8.6886 4.0808 48 1 3.0102 -10.0636 4.6472 49 1 2.6685 -10.2846 2.9143 50 1 4.4762 -14.4855 4.0077 51 1 3.8882 -0.9152 3.3028 52 1 5.1414 -1.7456 2.3452 53 1 5.1215 0.4197 1.0101 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 ZINC001328617723.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 06:10:57 Heat of formation + Delta-G solvation = -125.071962 kcal Electronic energy + Delta-G solvation = -30589.826687 eV Core-core repulsion = 26461.440901 eV Total energy + Delta-G solvation = -4128.385786 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.77 seconds Orbital eigenvalues (eV) -41.32105 -39.98230 -38.53252 -36.60859 -36.46124 -35.54206 -33.40132 -31.74901 -31.52933 -30.46160 -27.87446 -27.67222 -27.53676 -26.22475 -24.16314 -23.35293 -22.42052 -21.23981 -20.76373 -19.81948 -18.85568 -18.06952 -17.38825 -17.18609 -16.73806 -16.35795 -16.00385 -15.82730 -15.23159 -15.10470 -14.98710 -14.40630 -14.32342 -14.11221 -13.97021 -13.88466 -13.71615 -13.14406 -13.07425 -12.76741 -12.73381 -12.61813 -12.31205 -12.14086 -12.01733 -12.00949 -11.94687 -11.84407 -11.36115 -11.29581 -11.15462 -10.95302 -10.79340 -10.62373 -10.48931 -10.38991 -10.14748 -9.99328 -9.78232 -9.32626 -9.26956 -9.11985 -9.01736 -8.58805 -6.09065 -4.08264 1.25873 2.10997 3.03187 3.28171 3.30893 3.36223 3.39131 3.73583 4.16079 4.18746 4.31059 4.41052 4.46075 4.60409 4.70498 4.80862 4.85522 4.91619 5.05593 5.20498 5.24485 5.30729 5.32137 5.34388 5.37427 5.42712 5.49874 5.51015 5.53503 5.58251 5.63209 5.66731 5.72462 5.78426 5.87403 5.89055 5.95534 6.01181 6.13660 6.23119 6.27196 6.33909 6.53191 6.69448 6.77691 7.13115 7.16594 7.20120 7.29714 7.57678 7.71837 7.89518 8.46990 8.94855 9.52581 11.04109 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.023141 B = 0.001918 C = 0.001842 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1209.705845 B =14596.554097 C =15196.143574 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C -0.059 4.059 3 C -0.136 4.136 4 C -0.145 4.145 5 C -0.070 4.070 6 H 0.078 0.922 7 C -0.133 4.133 8 C 0.059 3.941 9 N -0.579 5.579 10 C 0.509 3.491 11 O -0.522 6.522 12 C 0.504 3.496 13 O -0.517 6.517 14 N -0.687 5.687 15 C 0.110 3.890 16 C -0.116 4.116 17 C -0.010 4.010 18 C -0.524 4.524 19 H 0.072 0.928 20 C 0.066 3.934 21 N -0.902 5.902 22 Si 0.880 3.120 23 H -0.277 1.277 24 H -0.287 1.287 25 H -0.265 1.265 26 C 0.076 3.924 27 C 0.097 3.903 28 H 0.065 0.935 29 O -0.549 6.549 30 H 0.054 0.946 31 H 0.053 0.947 32 H 0.059 0.941 33 H 0.078 0.922 34 H 0.040 0.960 35 H 0.049 0.951 36 H 0.054 0.946 37 H 0.053 0.947 38 H 0.056 0.944 39 H 0.070 0.930 40 H 0.089 0.911 41 H 0.151 0.849 42 H 0.069 0.931 43 H 0.413 0.587 44 H 0.072 0.928 45 H 0.072 0.928 46 H 0.063 0.937 47 H 0.064 0.936 48 H 0.019 0.981 49 H 0.015 0.985 50 H 0.264 0.736 51 H 0.078 0.922 52 H 0.095 0.905 53 H 0.373 0.627 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -6.328 31.794 -7.248 33.218 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 -0.203 4.203 2 C -0.059 4.059 3 C -0.193 4.193 4 C -0.202 4.202 5 C -0.089 4.089 6 H 0.096 0.904 7 C -0.171 4.171 8 C -0.061 4.061 9 N -0.314 5.314 10 C 0.292 3.708 11 O -0.398 6.398 12 C 0.285 3.715 13 O -0.395 6.395 14 N -0.338 5.338 15 C -0.012 4.012 16 C -0.154 4.154 17 C -0.048 4.048 18 C -0.561 4.561 19 H 0.091 0.909 20 C -0.135 4.135 21 N -0.540 5.540 22 Si 0.707 3.293 23 H -0.202 1.202 24 H -0.214 1.214 25 H -0.189 1.189 26 C -0.047 4.047 27 C 0.038 3.962 28 H 0.082 0.918 29 O -0.354 6.354 30 H 0.073 0.927 31 H 0.072 0.928 32 H 0.077 0.923 33 H 0.097 0.903 34 H 0.060 0.940 35 H 0.068 0.932 36 H 0.073 0.927 37 H 0.072 0.928 38 H 0.075 0.925 39 H 0.089 0.911 40 H 0.107 0.893 41 H 0.168 0.832 42 H 0.087 0.913 43 H 0.249 0.751 44 H 0.090 0.910 45 H 0.091 0.909 46 H 0.082 0.918 47 H 0.082 0.918 48 H 0.038 0.962 49 H 0.033 0.967 50 H 0.073 0.927 51 H 0.096 0.904 52 H 0.114 0.886 53 H 0.221 0.779 Dipole moment (debyes) X Y Z Total from point charges -7.126 31.777 -7.092 33.329 hybrid contribution 0.140 -0.406 0.182 0.466 sum -6.986 31.371 -6.910 32.874 Atomic orbital electron populations 1.21992 0.94789 1.01887 1.01657 1.20467 0.95120 0.96065 0.94251 1.21959 1.02366 0.94046 1.00880 1.21990 1.01105 1.00117 0.97011 1.21253 0.92213 0.96519 0.98908 0.90386 1.22153 1.01361 0.95028 0.98559 1.23121 0.77557 1.07908 0.97559 1.47849 1.08195 1.05661 1.69689 1.20256 0.87393 0.84962 0.78182 1.90758 1.13763 1.85835 1.49427 1.19997 0.87258 0.85034 0.79183 1.90426 1.14664 1.85419 1.49039 1.46061 1.13987 1.06306 1.67435 1.21885 0.95988 0.81746 1.01550 1.21750 0.97853 0.93604 1.02164 1.19501 0.96329 0.92435 0.96536 1.21085 0.96540 0.90227 1.48294 0.90943 1.25036 0.97664 0.96097 0.94701 1.69909 1.34898 0.99457 1.49763 0.86772 0.85741 0.78011 0.78733 1.20237 1.21352 1.18916 1.22486 0.98621 0.84449 0.99168 1.22179 0.93875 0.84250 0.95914 0.91763 1.86701 1.24688 1.27717 1.96323 0.92716 0.92774 0.92250 0.90312 0.94045 0.93201 0.92663 0.92822 0.92478 0.91093 0.89301 0.83227 0.91266 0.75058 0.90962 0.90950 0.91802 0.91760 0.96227 0.96668 0.92660 0.90359 0.88637 0.77906 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 -0.15 -0.90 7.90 37.16 0.29 -0.61 16 2 C -0.06 -0.39 0.58 -154.51 -0.09 -0.48 16 3 C -0.14 -0.96 7.51 37.16 0.28 -0.68 16 4 C -0.15 -0.98 7.68 37.16 0.29 -0.70 16 5 C -0.07 -0.49 1.39 -90.58 -0.13 -0.62 16 6 H 0.08 0.59 8.05 -51.93 -0.42 0.17 16 7 C -0.13 -0.97 4.62 -26.61 -0.12 -1.09 16 8 C 0.06 0.54 6.05 -3.71 -0.02 0.52 16 9 N -0.58 -5.89 2.97 -173.27 -0.51 -6.40 16 10 C 0.51 6.42 7.75 -11.58 -0.09 6.33 16 11 O -0.52 -7.49 15.91 5.49 0.09 -7.40 16 12 C 0.50 6.83 7.76 -11.59 -0.09 6.74 16 13 O -0.52 -7.54 13.12 5.50 0.07 -7.46 16 14 N -0.69 -9.33 5.55 -60.73 -0.34 -9.66 16 15 C 0.11 1.68 5.67 -4.04 -0.02 1.65 16 16 C -0.12 -2.07 5.27 -26.73 -0.14 -2.21 16 17 C -0.01 -0.23 4.04 -27.88 -0.11 -0.34 16 18 C -0.52 -14.51 9.66 -34.44 -0.33 -14.84 16 19 H 0.07 2.15 7.99 -52.48 -0.42 1.73 16 20 C 0.07 1.91 5.47 -17.82 -0.10 1.81 16 21 N -0.90 -27.44 13.96 55.43 0.77 -26.67 16 22 Si 0.88 21.30 27.47 -169.99 -4.67 16.63 16 23 H -0.28 -6.57 7.11 56.52 0.40 -6.17 16 24 H -0.29 -6.93 7.11 56.52 0.40 -6.53 16 25 H -0.26 -6.12 6.54 56.52 0.37 -5.75 16 26 C 0.08 0.62 6.07 -3.71 -0.02 0.60 16 27 C 0.10 0.69 2.48 -26.61 -0.07 0.62 16 28 H 0.06 0.50 6.42 -51.93 -0.33 0.17 16 29 O -0.55 -3.36 9.76 -35.23 -0.34 -3.70 16 30 H 0.05 0.33 8.14 -51.93 -0.42 -0.09 16 31 H 0.05 0.32 8.14 -51.93 -0.42 -0.10 16 32 H 0.06 0.35 6.30 -51.93 -0.33 0.02 16 33 H 0.08 0.59 5.82 -51.93 -0.30 0.29 16 34 H 0.04 0.28 8.07 -51.93 -0.42 -0.14 16 35 H 0.05 0.38 8.00 -51.93 -0.42 -0.04 16 36 H 0.05 0.38 6.65 -51.93 -0.35 0.04 16 37 H 0.05 0.35 8.14 -51.93 -0.42 -0.07 16 38 H 0.06 0.40 6.36 -51.93 -0.33 0.07 16 39 H 0.07 0.56 6.68 -51.93 -0.35 0.21 16 40 H 0.09 0.56 6.25 -51.93 -0.32 0.24 16 41 H 0.15 1.65 4.16 -55.57 -0.23 1.41 16 42 H 0.07 0.58 8.14 -51.93 -0.42 0.16 16 43 H 0.41 5.21 7.96 -40.82 -0.33 4.89 16 44 H 0.07 1.12 8.14 -51.93 -0.42 0.69 16 45 H 0.07 1.10 8.14 -51.93 -0.42 0.67 16 46 H 0.06 1.13 8.14 -51.92 -0.42 0.70 16 47 H 0.06 1.14 8.14 -51.93 -0.42 0.72 16 48 H 0.02 0.44 7.20 -51.93 -0.37 0.07 16 49 H 0.02 0.34 7.57 -51.93 -0.39 -0.06 16 50 H 0.26 7.51 8.31 -40.82 -0.34 7.17 16 51 H 0.08 0.61 8.14 -51.93 -0.42 0.19 16 52 H 0.10 0.84 7.00 -51.93 -0.36 0.47 16 53 H 0.37 1.09 9.08 45.56 0.41 1.50 16 LS Contribution 400.53 15.07 6.04 6.04 Total: -1.00 -31.68 400.53 -7.60 -39.28 By element: Atomic # 1 Polarization: 10.87 SS G_CDS: -8.23 Total: 2.64 kcal Atomic # 6 Polarization: -2.83 SS G_CDS: -0.48 Total: -3.30 kcal Atomic # 7 Polarization: -42.65 SS G_CDS: -0.08 Total: -42.73 kcal Atomic # 8 Polarization: -18.38 SS G_CDS: -0.18 Total: -18.56 kcal Atomic # 14 Polarization: 21.30 SS G_CDS: -4.67 Total: 16.63 kcal Total LS contribution 6.04 Total: 6.04 kcal Total: -31.68 -7.60 -39.28 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. ZINC001328617723.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 -85.790 kcal (2) G-P(sol) polarization free energy of solvation -31.683 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -117.473 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.599 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.282 kcal (6) G-S(sol) free energy of system = (1) + (5) -125.072 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.77 seconds