Wall clock time and date at job start Sat Apr 11 2020 06:15:39 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 H 1.09000 * 110.35739 * 2 1 4 4 C 1.54951 * 110.31092 * 237.85548 * 2 1 3 5 5 C 1.55442 * 100.99102 * 204.69028 * 4 2 1 6 6 C 1.54380 * 102.18855 * 34.03848 * 5 4 2 7 7 H 1.09005 * 109.82904 * 98.29925 * 6 5 4 8 8 C 1.52993 * 109.83478 * 219.18047 * 6 5 4 9 9 C 1.53008 * 109.47487 * 184.81533 * 8 6 5 10 10 C 1.50697 * 109.47318 * 180.02562 * 9 8 6 11 11 O 1.21292 * 119.99778 * 359.97438 * 10 9 8 12 12 N 1.34765 * 120.00099 * 179.97438 * 10 9 8 13 13 C 1.46507 * 120.00469 * 174.71837 * 12 10 9 14 14 C 1.53008 * 109.53889 * 304.03116 * 13 12 10 15 15 N 1.46497 * 109.46932 * 305.57360 * 14 13 12 16 16 C 1.36936 * 119.99775 * 175.02751 * 15 14 13 17 17 H 1.08004 * 119.99837 * 359.97438 * 16 15 14 18 18 C 1.38807 * 119.99977 * 180.02562 * 16 15 14 19 19 N 1.31618 * 120.00273 * 359.97438 * 18 16 15 20 20 Si 1.86808 * 120.00107 * 179.97438 * 18 16 15 21 21 H 1.48502 * 109.46839 * 89.99616 * 20 18 16 22 22 H 1.48491 * 109.47067 * 209.99828 * 20 18 16 23 23 H 1.48497 * 109.46937 * 329.99975 * 20 18 16 24 24 C 1.53172 * 109.54725 * 183.76220 * 13 12 10 25 25 C 1.53092 * 109.16509 * 297.11392 * 24 13 12 26 26 O 1.42901 * 109.41436 * 302.39142 * 25 24 13 27 27 C 1.42906 * 114.09772 * 61.15513 * 26 25 24 28 28 C 1.53090 * 109.41550 * 298.84350 * 27 26 25 29 29 O 1.43235 * 107.66310 * 338.73941 * 6 5 4 30 30 H 1.09008 * 109.46602 * 299.30989 * 1 2 3 31 31 H 1.09002 * 109.47193 * 59.30460 * 1 2 3 32 32 H 1.08993 * 109.47307 * 179.31124 * 1 2 3 33 33 H 1.08997 * 111.12402 * 322.56501 * 4 2 1 34 34 H 1.08999 * 111.12194 * 86.72073 * 4 2 1 35 35 H 1.09000 * 110.83759 * 275.89240 * 5 4 2 36 36 H 1.09006 * 110.92274 * 152.22659 * 5 4 2 37 37 H 1.08997 * 109.47155 * 64.81262 * 8 6 5 38 38 H 1.09002 * 109.47414 * 304.81488 * 8 6 5 39 39 H 1.09005 * 109.46479 * 299.99920 * 9 8 6 40 40 H 1.08997 * 109.46681 * 59.99985 * 9 8 6 41 41 H 0.96999 * 119.99899 * 354.71719 * 12 10 9 42 42 H 1.09003 * 109.46849 * 65.57519 * 14 13 12 43 43 H 1.08999 * 109.46639 * 185.57570 * 14 13 12 44 44 H 0.96997 * 120.00425 * 355.03058 * 15 14 13 45 45 H 0.97002 * 120.00425 * 180.02562 * 19 18 16 46 46 H 1.09005 * 109.52030 * 57.02078 * 24 13 12 47 47 H 1.08997 * 109.52010 * 177.20622 * 24 13 12 48 48 H 1.08997 * 109.48124 * 182.40534 * 25 24 13 49 49 H 1.09003 * 109.48872 * 62.37976 * 25 24 13 50 50 H 1.09002 * 109.47910 * 178.85795 * 27 26 25 51 51 H 1.09004 * 109.48962 * 58.83321 * 27 26 25 52 52 H 1.08996 * 109.52044 * 297.69948 * 28 27 26 53 53 H 1.09004 * 109.51977 * 177.51395 * 28 27 26 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 1 1.9092 1.0219 0.0000 4 6 2.0678 -0.7732 -1.2304 5 6 3.4709 -1.2047 -0.7191 6 6 3.2113 -1.4419 0.7841 7 1 3.0630 -2.5057 0.9703 8 6 4.3991 -0.9325 1.6028 9 6 4.1879 -1.2791 3.0780 10 6 5.3576 -0.7767 3.8845 11 8 6.2706 -0.1988 3.3335 12 7 5.3893 -0.9696 5.2179 13 6 6.5765 -0.5856 5.9857 14 6 7.8082 -1.2855 5.4076 15 7 7.5722 -2.7306 5.3619 16 6 8.4989 -3.5577 4.7855 17 1 9.4035 -3.1446 4.3642 18 6 8.2750 -4.9269 4.7416 19 7 7.1724 -5.4303 5.2545 20 14 9.5389 -6.0553 3.9546 21 1 10.5147 -6.4985 4.9825 22 1 8.8539 -7.2402 3.3787 23 1 10.2526 -5.3238 2.8773 24 6 6.3934 -0.9937 7.4507 25 6 5.2056 -0.2290 8.0407 26 8 5.4330 1.1758 7.9104 27 6 5.5646 1.6227 6.5594 28 6 6.7669 0.9324 5.9099 29 8 2.0287 -0.7167 1.1406 30 1 -0.3633 0.5031 0.8962 31 1 -0.3634 0.5246 -0.8837 32 1 -0.3633 -1.0275 -0.0124 33 1 1.4470 -1.6416 -1.4508 34 1 2.1496 -0.1204 -2.0995 35 1 4.1992 -0.4071 -0.8658 36 1 3.7970 -2.1237 -1.2063 37 1 4.4800 0.1487 1.4915 38 1 5.3150 -1.4040 1.2464 39 1 3.2720 -0.8075 3.4344 40 1 4.1070 -2.3603 3.1892 41 1 4.6260 -1.3626 5.6693 42 1 7.9964 -0.9159 4.3996 43 1 8.6730 -1.0783 6.0380 44 1 6.7595 -3.1016 5.7398 45 1 7.0161 -6.3872 5.2242 46 1 6.2021 -2.0652 7.5092 47 1 7.2965 -0.7528 8.0115 48 1 5.0970 -0.4834 9.0950 49 1 4.2958 -0.5012 7.5055 50 1 5.7147 2.7022 6.5466 51 1 4.6597 1.3749 6.0045 52 1 7.6775 1.2122 6.4396 53 1 6.8427 1.2383 4.8665 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 ZINC001570310331.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 06:15:39 Heat of formation + Delta-G solvation = -132.564692 kcal Electronic energy + Delta-G solvation = -31727.610721 eV Core-core repulsion = 27598.900026 eV Total energy + Delta-G solvation = -4128.710695 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 2.48 seconds Orbital eigenvalues (eV) -40.42958 -39.75249 -38.26102 -35.74888 -33.77550 -33.59700 -32.37898 -31.74995 -31.01073 -30.51387 -30.26681 -26.76900 -26.22255 -23.71988 -23.56488 -23.06198 -21.67521 -21.45081 -20.81699 -20.02294 -18.89209 -17.21139 -17.13733 -16.96644 -16.03145 -15.89256 -15.78431 -15.38470 -15.05820 -14.55216 -14.42822 -14.28165 -13.91709 -13.79987 -13.60555 -13.36496 -13.16770 -12.98218 -12.74044 -12.51239 -12.41382 -12.33148 -12.14168 -11.85854 -11.72682 -11.70382 -11.48840 -11.16572 -11.09891 -10.93889 -10.88915 -10.82530 -10.80897 -10.68507 -10.44665 -10.26664 -10.04741 -9.68152 -9.55291 -9.44430 -9.14116 -8.75815 -8.46033 -6.84086 -5.73605 -2.99584 3.17258 3.44974 3.50526 3.52330 3.57466 3.67277 3.99865 4.34916 4.55077 4.61843 4.63410 4.85579 4.96023 5.00482 5.06690 5.11008 5.14090 5.16049 5.20088 5.29046 5.34213 5.38009 5.40030 5.50012 5.53554 5.58563 5.62142 5.66049 5.75831 5.78635 5.80066 5.84568 5.90927 5.95349 5.99125 5.99396 6.11566 6.15461 6.29268 6.30257 6.35816 6.39399 6.52177 6.60645 6.93319 7.01871 7.14190 7.30509 7.75020 7.99186 8.46035 8.75790 9.57581 10.15433 10.51645 11.49556 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.007588 B = 0.003900 C = 0.002794 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3689.358926 B = 7177.682379 C =10019.179821 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.150 4.150 2 C 0.074 3.926 3 H 0.067 0.933 4 C -0.152 4.152 5 C -0.152 4.152 6 C 0.080 3.920 7 H 0.082 0.918 8 C -0.108 4.108 9 C -0.136 4.136 10 C 0.526 3.474 11 O -0.538 6.538 12 N -0.716 5.716 13 C 0.175 3.825 14 C 0.142 3.858 15 N -0.724 5.724 16 C -0.229 4.229 17 H 0.068 0.932 18 C -0.015 4.015 19 N -0.937 5.937 20 Si 0.904 3.096 21 H -0.291 1.291 22 H -0.292 1.292 23 H -0.283 1.283 24 C -0.155 4.155 25 C 0.061 3.939 26 O -0.387 6.387 27 C 0.067 3.933 28 C -0.163 4.163 29 O -0.374 6.374 30 H 0.062 0.938 31 H 0.066 0.934 32 H 0.061 0.939 33 H 0.077 0.923 34 H 0.079 0.921 35 H 0.079 0.921 36 H 0.082 0.918 37 H 0.070 0.930 38 H 0.082 0.918 39 H 0.090 0.910 40 H 0.094 0.906 41 H 0.394 0.606 42 H 0.050 0.950 43 H 0.018 0.982 44 H 0.381 0.619 45 H 0.253 0.747 46 H 0.089 0.911 47 H 0.085 0.915 48 H 0.093 0.907 49 H 0.047 0.953 50 H 0.088 0.912 51 H 0.047 0.953 52 H 0.075 0.925 53 H 0.093 0.907 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -13.438 12.693 -5.854 19.390 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 -0.208 4.208 2 C 0.017 3.983 3 H 0.085 0.915 4 C -0.190 4.190 5 C -0.189 4.189 6 C 0.022 3.978 7 H 0.100 0.900 8 C -0.146 4.146 9 C -0.176 4.176 10 C 0.314 3.686 11 O -0.415 6.415 12 N -0.368 5.368 13 C 0.089 3.911 14 C 0.014 3.986 15 N -0.368 5.368 16 C -0.360 4.360 17 H 0.086 0.914 18 C -0.211 4.211 19 N -0.586 5.586 20 Si 0.736 3.264 21 H -0.219 1.219 22 H -0.219 1.219 23 H -0.209 1.209 24 C -0.193 4.193 25 C -0.015 4.015 26 O -0.305 6.305 27 C -0.010 4.010 28 C -0.202 4.202 29 O -0.294 6.294 30 H 0.081 0.919 31 H 0.085 0.915 32 H 0.080 0.920 33 H 0.096 0.904 34 H 0.098 0.902 35 H 0.098 0.902 36 H 0.101 0.899 37 H 0.089 0.911 38 H 0.100 0.900 39 H 0.108 0.892 40 H 0.112 0.888 41 H 0.228 0.772 42 H 0.068 0.932 43 H 0.036 0.964 44 H 0.215 0.785 45 H 0.063 0.937 46 H 0.107 0.893 47 H 0.103 0.897 48 H 0.111 0.889 49 H 0.065 0.935 50 H 0.106 0.894 51 H 0.065 0.935 52 H 0.094 0.906 53 H 0.112 0.888 Dipole moment (debyes) X Y Z Total from point charges -12.689 13.162 -5.986 19.238 hybrid contribution 0.250 -1.422 -0.495 1.526 sum -12.439 11.740 -6.482 18.291 Atomic orbital electron populations 1.21878 0.93970 1.02705 1.02208 1.22921 0.94598 0.95615 0.85180 0.91469 1.23341 0.96518 1.00772 0.98380 1.23190 0.97488 1.02917 0.95323 1.22809 0.85306 0.96242 0.93398 0.90043 1.21674 0.97344 1.02221 0.93349 1.21589 0.97272 1.03193 0.95594 1.20444 0.87820 0.78378 0.82000 1.90604 1.38349 1.41905 1.70671 1.45954 1.18467 1.64703 1.07658 1.20531 0.86801 0.93405 0.90358 1.21068 0.92499 0.85906 0.99099 1.42197 1.23848 0.99763 1.71016 1.19229 0.99135 0.88289 1.29346 0.91443 1.24658 0.97712 0.96666 1.02035 1.69642 1.25867 1.11647 1.51462 0.86218 0.80682 0.80599 0.78925 1.21862 1.21885 1.20872 1.22434 1.00165 1.01950 0.94756 1.22596 0.96494 0.81119 1.01330 1.87888 1.93027 1.23162 1.26472 1.22503 0.97262 0.98572 0.82675 1.22548 0.99073 0.95153 1.03392 1.88439 1.42296 1.64737 1.33921 0.91915 0.91512 0.91979 0.90415 0.90204 0.90215 0.89914 0.91113 0.89967 0.89159 0.88761 0.77211 0.93249 0.96427 0.78479 0.93737 0.89251 0.89679 0.88887 0.93519 0.89413 0.93455 0.90626 0.88825 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 -1.17 9.62 37.16 0.36 -0.82 16 2 C 0.07 0.70 4.08 -25.70 -0.10 0.60 16 3 H 0.07 0.62 8.14 -51.93 -0.42 0.20 16 4 C -0.15 -1.25 6.57 -24.40 -0.16 -1.41 16 5 C -0.15 -1.46 6.56 -24.71 -0.16 -1.62 16 6 C 0.08 0.93 3.51 -26.01 -0.09 0.84 16 7 H 0.08 0.97 8.14 -51.93 -0.42 0.54 16 8 C -0.11 -1.47 4.07 -26.73 -0.11 -1.58 16 9 C -0.14 -1.94 5.61 -27.88 -0.16 -2.09 16 10 C 0.53 8.94 7.24 -10.99 -0.08 8.86 16 11 O -0.54 -10.73 12.29 5.55 0.07 -10.66 16 12 N -0.72 -11.21 3.75 -47.43 -0.18 -11.38 16 13 C 0.18 2.90 0.32 -131.63 -0.04 2.86 16 14 C 0.14 3.04 4.80 -4.04 -0.02 3.02 16 15 N -0.72 -18.19 5.21 -59.91 -0.31 -18.51 16 16 C -0.23 -6.50 9.99 -15.06 -0.15 -6.65 16 17 H 0.07 1.92 7.83 -52.48 -0.41 1.51 16 18 C -0.02 -0.44 5.50 -17.43 -0.10 -0.54 16 19 N -0.94 -27.88 13.06 55.49 0.72 -27.15 16 20 Si 0.90 22.75 29.55 -169.99 -5.02 17.73 16 21 H -0.29 -7.30 7.11 56.52 0.40 -6.90 16 22 H -0.29 -7.38 7.11 56.52 0.40 -6.98 16 23 H -0.28 -7.02 7.11 56.52 0.40 -6.61 16 24 C -0.15 -2.33 4.82 -26.59 -0.13 -2.46 16 25 C 0.06 0.78 6.67 37.21 0.25 1.02 16 26 O -0.39 -5.42 10.77 -35.23 -0.38 -5.80 16 27 C 0.07 0.88 6.68 37.20 0.25 1.12 16 28 C -0.16 -2.45 4.81 -26.59 -0.13 -2.57 16 29 O -0.37 -4.55 10.32 -35.23 -0.36 -4.92 16 30 H 0.06 0.50 8.14 -51.92 -0.42 0.08 16 31 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 32 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 33 H 0.08 0.61 8.06 -51.93 -0.42 0.19 16 34 H 0.08 0.54 8.14 -51.93 -0.42 0.11 16 35 H 0.08 0.76 7.85 -51.93 -0.41 0.36 16 36 H 0.08 0.74 8.14 -51.93 -0.42 0.31 16 37 H 0.07 0.99 8.10 -51.93 -0.42 0.57 16 38 H 0.08 1.25 8.10 -51.93 -0.42 0.83 16 39 H 0.09 1.13 7.89 -51.93 -0.41 0.73 16 40 H 0.09 1.38 8.14 -51.93 -0.42 0.96 16 41 H 0.39 5.37 7.41 -40.82 -0.30 5.07 16 42 H 0.05 1.17 6.26 -51.93 -0.32 0.85 16 43 H 0.02 0.39 8.14 -51.93 -0.42 -0.03 16 44 H 0.38 9.78 6.52 -40.82 -0.27 9.52 16 45 H 0.25 7.33 8.31 -40.82 -0.34 6.99 16 46 H 0.09 1.47 7.23 -51.93 -0.38 1.10 16 47 H 0.08 1.31 8.14 -51.93 -0.42 0.88 16 48 H 0.09 1.03 8.14 -51.93 -0.42 0.61 16 49 H 0.05 0.54 7.02 -51.93 -0.36 0.17 16 50 H 0.09 1.01 8.14 -51.93 -0.42 0.59 16 51 H 0.05 0.61 7.75 -51.93 -0.40 0.21 16 52 H 0.08 1.11 8.14 -51.93 -0.42 0.69 16 53 H 0.09 1.55 6.25 -51.93 -0.32 1.23 16 LS Contribution 407.54 15.07 6.14 6.14 Total: -1.00 -32.75 407.54 -9.37 -42.12 By element: Atomic # 1 Polarization: 23.30 SS G_CDS: -9.48 Total: 13.83 kcal Atomic # 6 Polarization: -0.83 SS G_CDS: -0.57 Total: -1.40 kcal Atomic # 7 Polarization: -57.28 SS G_CDS: 0.23 Total: -57.04 kcal Atomic # 8 Polarization: -20.70 SS G_CDS: -0.67 Total: -21.37 kcal Atomic # 14 Polarization: 22.75 SS G_CDS: -5.02 Total: 17.73 kcal Total LS contribution 6.14 Total: 6.14 kcal Total: -32.75 -9.37 -42.12 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. ZINC001570310331.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 -90.443 kcal (2) G-P(sol) polarization free energy of solvation -32.747 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -123.190 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.375 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.122 kcal (6) G-S(sol) free energy of system = (1) + (5) -132.565 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 2.48 seconds