Wall clock time and date at job start Sat Apr 11 2020 06:13:01 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 1.52999 * 109.47019 * 2 1 4 4 C 1.52998 * 109.46750 * 119.99655 * 2 1 3 5 5 H 1.08999 * 109.47358 * 54.10536 * 4 2 1 6 6 C 1.50707 * 109.46917 * 174.09764 * 4 2 1 7 7 O 1.21285 * 119.99753 * 64.72659 * 6 4 2 8 8 N 1.34773 * 120.00160 * 244.72390 * 6 4 2 9 9 C 1.47288 * 125.79272 * 359.97438 * 8 6 4 10 10 C 1.54324 * 107.30709 * 178.92758 * 9 8 6 11 11 C 1.55163 * 102.94125 * 337.82040 * 10 9 8 12 12 H 1.09006 * 111.00242 * 277.42862 * 11 10 9 13 13 N 1.46894 * 111.03913 * 153.59017 * 11 10 9 14 14 C 1.46902 * 110.99801 * 92.78668 * 13 11 10 15 15 C 1.50701 * 109.47206 * 180.02562 * 14 13 11 16 16 O 1.21293 * 120.00098 * 359.97438 * 15 14 13 17 17 N 1.34781 * 120.00389 * 179.97438 * 15 14 13 18 18 C 1.37093 * 119.99940 * 179.97438 * 17 15 14 19 19 H 1.07997 * 120.00200 * 0.02562 * 18 17 15 20 20 C 1.38952 * 119.99796 * 179.97438 * 18 17 15 21 21 N 1.31409 * 120.00112 * 180.02562 * 20 18 17 22 22 Si 1.86803 * 120.00049 * 0.02562 * 20 18 17 23 23 H 1.48508 * 109.46776 * 89.99701 * 22 20 18 24 24 H 1.48495 * 109.47383 * 209.99861 * 22 20 18 25 25 H 1.48495 * 109.47049 * 330.00220 * 22 20 18 26 26 C 1.47422 * 125.64688 * 180.02562 * 8 6 4 27 27 N 1.46899 * 109.47471 * 294.09643 * 4 2 1 28 28 C 1.46902 * 110.99966 * 144.45526 * 27 4 2 29 29 C 1.46898 * 111.00046 * 268.41029 * 27 4 2 30 30 H 1.09002 * 109.47004 * 305.02963 * 1 2 3 31 31 H 1.08994 * 109.46890 * 65.03169 * 1 2 3 32 32 H 1.09002 * 109.47004 * 185.03029 * 1 2 3 33 33 H 1.08995 * 109.46935 * 239.99356 * 2 1 3 34 34 H 1.08999 * 109.47295 * 44.43734 * 3 2 1 35 35 H 1.09000 * 109.46761 * 164.44191 * 3 2 1 36 36 H 1.09001 * 109.46650 * 284.44081 * 3 2 1 37 37 H 1.08995 * 109.85419 * 59.50396 * 9 8 6 38 38 H 1.08999 * 110.00102 * 298.43138 * 9 8 6 39 39 H 1.08993 * 110.72473 * 219.45854 * 10 9 8 40 40 H 1.09001 * 110.87231 * 96.24890 * 10 9 8 41 41 H 1.00900 * 110.99954 * 328.83325 * 13 11 10 42 42 H 1.09001 * 109.47042 * 299.99583 * 14 13 11 43 43 H 1.08993 * 109.47750 * 60.00026 * 14 13 11 44 44 H 0.97000 * 119.99714 * 359.97438 * 17 15 14 45 45 H 0.97000 * 119.99700 * 180.02562 * 21 20 18 46 46 H 1.09008 * 110.36964 * 85.25999 * 26 8 6 47 47 H 1.09001 * 110.36668 * 323.04946 * 26 8 6 48 48 H 1.08996 * 109.47443 * 59.02255 * 28 27 4 49 49 H 1.08999 * 109.47259 * 179.03011 * 28 27 4 50 50 H 1.09000 * 109.46853 * 299.02065 * 28 27 4 51 51 H 1.08994 * 109.47270 * 48.26956 * 29 27 4 52 52 H 1.09006 * 109.46811 * 168.26486 * 29 27 4 53 53 H 1.08994 * 109.47275 * 288.25989 * 29 27 4 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 2.0399 -0.7212 1.2493 5 1 1.5930 -1.7138 1.3037 6 6 3.5399 -0.8490 1.1785 7 8 4.2348 0.1449 1.1983 8 7 4.1091 -2.0676 1.0931 9 6 3.3912 -3.3533 1.0603 10 6 4.4510 -4.4677 0.9313 11 6 5.6701 -3.7199 0.3295 12 1 5.5764 -3.6273 -0.7525 13 7 6.9284 -4.3860 0.6912 14 6 7.3295 -5.3501 -0.3421 15 6 8.6211 -6.0125 0.0631 16 8 9.1552 -5.7107 1.1095 17 7 9.1828 -6.9402 -0.7371 18 6 10.3580 -7.5423 -0.3687 19 1 10.8335 -7.2736 0.5630 20 6 10.9368 -8.4991 -1.1935 21 7 12.0631 -9.0766 -0.8401 22 14 10.1140 -8.9644 -2.8047 23 1 10.6171 -8.0840 -3.8897 24 1 10.4269 -10.3791 -3.1299 25 1 8.6439 -8.7997 -2.6753 26 6 5.5567 -2.3364 1.0181 27 7 1.6700 0.0487 2.4445 28 6 1.3451 -0.8433 3.5655 29 6 2.7342 0.9917 2.8134 30 1 -0.3633 0.5899 0.8415 31 1 -0.3633 0.4338 -0.9316 32 1 -0.3633 -1.0237 0.0901 33 1 1.8933 -0.5139 -0.8899 34 1 1.4693 2.0296 0.7195 35 1 3.0945 1.4550 0.2756 36 1 1.9194 1.8704 -0.9952 37 1 2.7189 -3.3801 0.2029 38 1 2.8232 -3.4868 1.9810 39 1 4.1070 -5.2507 0.2556 40 1 4.6977 -4.8840 1.9080 41 1 6.8551 -4.8322 1.5932 42 1 6.5531 -6.1069 -0.4539 43 1 7.4692 -4.8301 -1.2897 44 1 8.7555 -7.1818 -1.5738 45 1 12.4673 -9.7443 -1.4161 46 1 5.9881 -2.3736 2.0184 47 1 6.0537 -1.5729 0.4196 48 1 2.2061 -1.4726 3.7905 49 1 1.0915 -0.2474 4.4423 50 1 0.4964 -1.4717 3.2956 51 1 3.0512 1.5457 1.9299 52 1 2.3587 1.6880 3.5634 53 1 3.5822 0.4414 3.2209 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 ZINC001267022676.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 06:13:01 Heat of formation + Delta-G solvation = -38.554517 kcal Electronic energy + Delta-G solvation = -30613.129487 eV Core-core repulsion = 26520.788130 eV Total energy + Delta-G solvation = -4092.341357 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.75 seconds Orbital eigenvalues (eV) -41.16995 -39.11975 -38.26082 -36.87888 -34.95988 -34.52126 -33.91037 -31.72793 -31.02304 -29.48307 -28.38515 -27.95268 -26.78867 -26.20215 -24.04627 -23.40508 -22.82149 -21.24562 -20.68218 -19.45269 -19.31679 -18.43960 -17.62999 -16.79098 -16.48029 -16.01739 -15.82412 -15.46458 -15.26599 -14.86524 -14.43556 -14.34744 -14.18994 -13.93642 -13.79473 -13.58291 -13.35462 -13.27897 -13.08370 -13.02618 -12.81498 -12.65190 -12.29966 -12.26844 -12.20516 -12.11209 -11.91202 -11.83815 -11.72501 -11.51776 -11.27553 -11.20078 -11.10738 -11.04063 -10.71802 -10.63603 -10.01578 -9.93684 -9.61872 -8.95536 -8.66120 -8.62311 -8.27723 -8.21515 -6.34873 -3.86621 2.23334 2.58868 2.98233 3.03637 3.11922 3.55507 3.67568 3.87797 4.03239 4.06539 4.27693 4.44454 4.49508 4.57690 4.62236 4.77627 4.81918 4.94290 4.94547 5.02822 5.08600 5.09866 5.15951 5.19153 5.30698 5.36299 5.43684 5.46249 5.48547 5.50487 5.51539 5.59605 5.66324 5.70146 5.74637 5.76708 5.79576 5.84305 5.86225 5.91214 6.01125 6.08408 6.29835 6.56116 6.60935 6.94352 7.20573 7.41324 7.53561 7.84090 8.10001 8.55008 8.90704 9.37839 9.77210 10.78115 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.025125 B = 0.001917 C = 0.001877 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1114.156969 B =14600.439277 C =14910.284343 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 -0.072 4.072 3 C -0.164 4.164 4 C 0.073 3.927 5 H 0.090 0.910 6 C 0.505 3.495 7 O -0.525 6.525 8 N -0.617 5.617 9 C 0.103 3.897 10 C -0.166 4.166 11 C 0.079 3.921 12 H 0.094 0.906 13 N -0.656 5.656 14 C 0.049 3.951 15 C 0.448 3.552 16 O -0.564 6.564 17 N -0.589 5.589 18 C -0.306 4.306 19 H 0.120 0.880 20 C 0.041 3.959 21 N -0.880 5.880 22 Si 0.881 3.119 23 H -0.270 1.270 24 H -0.276 1.276 25 H -0.270 1.270 26 C 0.114 3.886 27 N -0.516 5.516 28 C 0.017 3.983 29 C 0.005 3.995 30 H 0.068 0.932 31 H 0.052 0.948 32 H 0.048 0.952 33 H 0.069 0.931 34 H 0.062 0.938 35 H 0.085 0.915 36 H 0.046 0.954 37 H 0.071 0.929 38 H 0.067 0.933 39 H 0.085 0.915 40 H 0.082 0.918 41 H 0.355 0.645 42 H 0.047 0.953 43 H 0.089 0.911 44 H 0.370 0.630 45 H 0.274 0.726 46 H 0.074 0.926 47 H 0.084 0.916 48 H 0.025 0.975 49 H 0.072 0.928 50 H 0.070 0.930 51 H 0.107 0.893 52 H 0.058 0.942 53 H 0.029 0.971 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -27.610 14.571 1.123 31.240 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 -0.091 4.091 3 C -0.221 4.221 4 C -0.039 4.039 5 H 0.108 0.892 6 C 0.292 3.708 7 O -0.401 6.401 8 N -0.352 5.352 9 C -0.021 4.021 10 C -0.205 4.205 11 C -0.033 4.033 12 H 0.112 0.888 13 N -0.288 5.288 14 C -0.083 4.083 15 C 0.234 3.766 16 O -0.446 6.446 17 N -0.228 5.228 18 C -0.435 4.435 19 H 0.137 0.863 20 C -0.162 4.162 21 N -0.520 5.520 22 Si 0.707 3.293 23 H -0.196 1.196 24 H -0.202 1.202 25 H -0.196 1.196 26 C -0.009 4.009 27 N -0.240 5.240 28 C -0.131 4.131 29 C -0.142 4.142 30 H 0.087 0.913 31 H 0.071 0.929 32 H 0.067 0.933 33 H 0.087 0.913 34 H 0.081 0.919 35 H 0.104 0.896 36 H 0.065 0.935 37 H 0.089 0.911 38 H 0.085 0.915 39 H 0.103 0.897 40 H 0.101 0.899 41 H 0.176 0.824 42 H 0.065 0.935 43 H 0.107 0.893 44 H 0.203 0.797 45 H 0.084 0.916 46 H 0.093 0.907 47 H 0.102 0.898 48 H 0.044 0.956 49 H 0.091 0.909 50 H 0.088 0.912 51 H 0.125 0.875 52 H 0.076 0.924 53 H 0.048 0.952 Dipole moment (debyes) X Y Z Total from point charges -26.728 16.000 1.472 31.185 hybrid contribution -0.433 -2.009 -0.912 2.248 sum -27.160 13.991 0.560 30.557 Atomic orbital electron populations 1.21734 0.93957 1.01556 1.02090 1.20933 0.96609 0.97229 0.94334 1.22226 1.03644 0.95001 1.01197 1.21997 0.89581 0.98442 0.93910 0.89236 1.21241 0.91404 0.81566 0.76564 1.90649 1.64938 1.35233 1.49317 1.48745 1.08244 1.05616 1.72628 1.22032 0.95431 0.82967 1.01626 1.23441 0.96714 0.97583 1.02797 1.22745 0.87431 0.93286 0.99824 0.88834 1.59881 1.29034 1.34056 1.05803 1.21741 0.96257 0.94288 0.96036 1.19668 0.87340 0.83219 0.86396 1.90577 1.64523 1.64721 1.24811 1.42198 1.23318 1.37007 1.20322 1.19430 0.97478 1.18297 1.08256 0.86259 1.25054 0.96110 0.96709 0.98323 1.69621 1.17571 1.26910 1.37863 0.86661 0.79333 0.79252 0.84049 1.19561 1.20168 1.19560 1.22176 0.80200 0.96807 1.01680 1.62310 1.40739 1.17080 1.03825 1.22554 1.00138 0.96289 0.94106 1.23094 0.91640 0.96290 1.03199 0.91340 0.92870 0.93283 0.91283 0.91871 0.89631 0.93474 0.91105 0.91480 0.89673 0.89946 0.82380 0.93516 0.89292 0.79681 0.91568 0.90744 0.89789 0.95621 0.90872 0.91171 0.87523 0.92381 0.95189 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 -0.14 -0.88 9.00 37.16 0.33 -0.54 16 2 C -0.07 -0.57 2.72 -90.62 -0.25 -0.81 16 3 C -0.16 -1.45 7.58 37.16 0.28 -1.17 16 4 C 0.07 0.60 2.00 -68.86 -0.14 0.47 16 5 H 0.09 0.62 6.17 -51.93 -0.32 0.30 16 6 C 0.50 5.47 6.02 -10.98 -0.07 5.41 16 7 O -0.53 -7.17 11.33 5.55 0.06 -7.11 16 8 N -0.62 -6.13 3.33 -170.28 -0.57 -6.69 16 9 C 0.10 0.73 5.83 -2.92 -0.02 0.72 16 10 C -0.17 -1.30 6.55 -24.89 -0.16 -1.46 16 11 C 0.08 0.83 3.38 -65.54 -0.22 0.60 16 12 H 0.09 0.93 7.83 -51.93 -0.41 0.53 16 13 N -0.66 -9.28 6.04 -105.70 -0.64 -9.91 16 14 C 0.05 0.75 6.03 -4.97 -0.03 0.72 16 15 C 0.45 9.82 7.82 -10.98 -0.09 9.73 16 16 O -0.56 -14.84 15.78 5.55 0.09 -14.75 16 17 N -0.59 -13.67 5.09 -10.96 -0.06 -13.72 16 18 C -0.31 -8.54 10.16 -14.93 -0.15 -8.69 16 19 H 0.12 3.82 7.39 -52.49 -0.39 3.43 16 20 C 0.04 1.12 5.50 -17.47 -0.10 1.02 16 21 N -0.88 -25.46 13.96 55.50 0.77 -24.68 16 22 Si 0.88 19.00 27.74 -169.99 -4.71 14.28 16 23 H -0.27 -5.74 7.11 56.52 0.40 -5.34 16 24 H -0.28 -5.99 7.11 56.52 0.40 -5.59 16 25 H -0.27 -5.25 6.52 56.52 0.37 -4.88 16 26 C 0.11 1.31 6.60 -2.51 -0.02 1.29 16 27 N -0.52 -4.34 4.15 -244.59 -1.02 -5.35 16 28 C 0.02 0.12 9.36 60.07 0.56 0.68 16 29 C 0.00 0.05 7.45 60.06 0.45 0.49 16 30 H 0.07 0.48 7.84 -51.93 -0.41 0.08 16 31 H 0.05 0.32 8.14 -51.93 -0.42 -0.11 16 32 H 0.05 0.28 8.14 -51.93 -0.42 -0.15 16 33 H 0.07 0.55 8.14 -51.93 -0.42 0.12 16 34 H 0.06 0.55 7.31 -51.93 -0.38 0.17 16 35 H 0.09 0.95 4.20 -51.93 -0.22 0.73 16 36 H 0.05 0.38 8.14 -51.93 -0.42 -0.04 16 37 H 0.07 0.41 8.09 -51.93 -0.42 -0.01 16 38 H 0.07 0.41 8.04 -51.93 -0.42 -0.01 16 39 H 0.08 0.57 8.14 -51.93 -0.42 0.15 16 40 H 0.08 0.67 7.75 -51.93 -0.40 0.27 16 41 H 0.36 5.19 7.89 -39.29 -0.31 4.88 16 42 H 0.05 0.60 8.14 -51.93 -0.42 0.18 16 43 H 0.09 1.22 8.09 -51.93 -0.42 0.80 16 44 H 0.37 7.48 5.76 -40.82 -0.24 7.25 16 45 H 0.27 7.30 8.31 -40.82 -0.34 6.96 16 46 H 0.07 0.93 8.14 -51.92 -0.42 0.51 16 47 H 0.08 1.08 8.03 -51.93 -0.42 0.67 16 48 H 0.03 0.20 8.14 -51.93 -0.42 -0.23 16 49 H 0.07 0.46 8.13 -51.93 -0.42 0.04 16 50 H 0.07 0.39 8.09 -51.93 -0.42 -0.03 16 51 H 0.11 1.16 3.59 -51.93 -0.19 0.98 16 52 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 53 H 0.03 0.35 6.85 -51.93 -0.36 -0.01 16 LS Contribution 406.78 15.07 6.13 6.13 Total: -1.00 -32.99 406.78 -8.64 -41.63 By element: Atomic # 1 Polarization: 20.81 SS G_CDS: -9.10 Total: 11.71 kcal Atomic # 6 Polarization: 8.07 SS G_CDS: 0.39 Total: 8.47 kcal Atomic # 7 Polarization: -58.86 SS G_CDS: -1.50 Total: -60.37 kcal Atomic # 8 Polarization: -22.01 SS G_CDS: 0.15 Total: -21.86 kcal Atomic # 14 Polarization: 19.00 SS G_CDS: -4.71 Total: 14.28 kcal Total LS contribution 6.13 Total: 6.13 kcal Total: -32.99 -8.64 -41.63 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. ZINC001267022676.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 3.077 kcal (2) G-P(sol) polarization free energy of solvation -32.989 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -29.912 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.643 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.632 kcal (6) G-S(sol) free energy of system = (1) + (5) -38.555 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.75 seconds