Wall clock time and date at job start Sat Apr 11 2020 06:09:50 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 1.53005 * 1 3 3 H 1.09002 * 109.47372 * 2 1 4 4 C 1.50703 * 109.46642 * 119.99663 * 2 1 3 5 5 O 1.21286 * 119.99972 * 99.97331 * 4 2 1 6 6 N 1.34777 * 120.00400 * 279.98008 * 4 2 1 7 7 C 1.46505 * 119.99502 * 359.97438 * 6 4 2 8 8 C 1.46495 * 120.00131 * 180.02562 * 6 4 2 9 9 C 1.50697 * 109.47084 * 89.99793 * 8 6 4 10 10 H 1.08003 * 120.00383 * 359.97438 * 9 8 6 11 11 C 1.37880 * 119.99961 * 179.97438 * 9 8 6 12 12 N 1.31513 * 120.00142 * 0.02562 * 11 9 8 13 13 Si 1.86802 * 119.99992 * 179.97438 * 11 9 8 14 14 H 1.48500 * 109.46841 * 90.00317 * 13 11 9 15 15 H 1.48501 * 109.47060 * 210.00273 * 13 11 9 16 16 H 1.48497 * 109.47320 * 329.99938 * 13 11 9 17 17 N 1.46930 * 109.47303 * 239.99517 * 2 1 3 18 18 C 1.47555 * 110.98832 * 300.92027 * 17 2 1 19 19 C 1.50484 * 108.83498 * 139.75390 * 18 17 2 20 20 O 1.43401 * 113.42334 * 74.00986 * 19 18 17 21 21 C 1.43683 * 118.29629 * 355.65525 * 20 19 18 22 22 C 1.50964 * 113.26545 * 289.09485 * 21 20 19 23 23 C 1.53097 * 110.18207 * 207.41953 * 22 21 20 24 24 C 1.52921 * 109.90633 * 176.51911 * 23 22 21 25 25 O 1.42835 * 109.68563 * 303.56163 * 24 23 22 26 26 C 1.42861 * 114.12299 * 60.84887 * 25 24 23 27 27 C 1.52968 * 109.45705 * 298.83018 * 26 25 24 28 28 C 1.40457 * 110.95246 * 172.33858 * 17 2 1 29 29 H 1.08990 * 109.47605 * 186.94857 * 1 2 3 30 30 H 1.09004 * 109.46436 * 66.94696 * 1 2 3 31 31 H 1.08997 * 109.47042 * 306.95411 * 1 2 3 32 32 H 1.09000 * 109.46944 * 90.00681 * 7 6 4 33 33 H 1.08997 * 109.46860 * 210.00142 * 7 6 4 34 34 H 1.08997 * 109.47143 * 329.99918 * 7 6 4 35 35 H 1.09001 * 109.47091 * 209.99296 * 8 6 4 36 36 H 1.09000 * 109.46954 * 329.99684 * 8 6 4 37 37 H 0.96995 * 120.00404 * 179.97438 * 12 11 9 38 38 H 1.08771 * 110.15584 * 260.85005 * 18 17 2 39 39 H 1.09364 * 109.16697 * 20.52716 * 18 17 2 40 40 H 1.09322 * 108.74541 * 312.69330 * 19 18 17 41 41 H 1.09329 * 108.71398 * 195.33011 * 19 18 17 42 42 H 1.09409 * 108.60558 * 168.97971 * 21 20 19 43 43 H 1.08834 * 109.73300 * 51.09792 * 21 20 19 44 44 H 1.09118 * 109.40766 * 296.76517 * 23 22 21 45 45 H 1.09133 * 109.40053 * 56.30896 * 23 22 21 46 46 H 1.09214 * 109.34104 * 183.84307 * 24 23 22 47 47 H 1.08922 * 109.84769 * 64.17086 * 24 23 22 48 48 H 1.09142 * 109.33767 * 179.02910 * 26 25 24 49 49 H 1.08916 * 109.63596 * 59.31394 * 26 25 24 50 50 H 1.09147 * 109.43091 * 297.01684 * 27 26 25 51 51 H 1.09076 * 109.36968 * 177.51158 * 27 26 25 52 52 H 1.08903 * 108.98752 * 316.50404 * 28 17 2 53 53 H 1.09120 * 108.93539 * 75.11820 * 28 17 2 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 1.8934 1.0277 0.0000 4 6 2.0323 -0.7104 1.2306 5 8 2.4059 -1.8618 1.1560 6 7 2.0662 -0.0662 2.4140 7 6 1.6153 1.3248 2.5039 8 6 2.5549 -0.7566 3.6100 9 6 4.0416 -0.5465 3.7391 10 1 4.5697 0.0421 3.0035 11 6 4.7276 -1.1057 4.7963 12 7 4.0847 -1.8229 5.6918 13 14 6.5706 -0.8458 4.9559 14 1 6.8304 0.3772 5.7570 15 1 7.1792 -2.0193 5.6324 16 1 7.1672 -0.6889 3.6051 17 7 2.0199 -0.6927 -1.1996 18 6 1.5286 -2.0834 -1.2444 19 6 1.1496 -2.4193 -2.6615 20 8 2.2795 -2.6219 -3.5210 21 6 3.5929 -2.3953 -2.9843 22 6 3.8931 -0.9363 -2.7387 23 6 5.3998 -0.6832 -2.8371 24 6 5.6888 0.8095 -2.6734 25 8 4.9566 1.5513 -3.6500 26 6 3.5389 1.4040 -3.5529 27 6 3.1636 -0.0640 -3.7627 28 6 3.4129 -0.5614 -1.3218 29 1 -0.3634 -1.0200 0.1243 30 1 -0.3632 0.4024 -0.9457 31 1 -0.3633 0.6178 0.8212 32 1 0.5490 1.3472 2.7292 33 1 2.1646 1.8343 3.2955 34 1 1.7967 1.8277 1.5540 35 1 2.0536 -0.3561 4.4911 36 1 2.3446 -1.8228 3.5255 37 1 4.5674 -2.2166 6.4353 38 1 2.2979 -2.7643 -0.8872 39 1 0.6472 -2.1737 -0.6034 40 1 0.5397 -1.6063 -3.0642 41 1 0.5411 -3.3275 -2.6559 42 1 4.3313 -2.7796 -3.6943 43 1 3.7075 -2.9420 -2.0502 44 1 5.9132 -1.2416 -2.0527 45 1 5.7609 -1.0188 -3.8107 46 1 6.7571 0.9885 -2.8131 47 1 5.4009 1.1345 -1.6744 48 1 3.0588 2.0139 -4.3202 49 1 3.2031 1.7337 -2.5706 50 1 3.4489 -0.3712 -4.7705 51 1 2.0857 -0.1823 -3.6445 52 1 3.6923 0.4682 -1.1030 53 1 3.8955 -1.2189 -0.5970 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 ZINC000184119245.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 06:09:50 Heat of formation + Delta-G solvation = -105.406677 kcal Electronic energy + Delta-G solvation = -33506.703567 eV Core-core repulsion = 29379.170532 eV Total energy + Delta-G solvation = -4127.533035 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 3.23 seconds Orbital eigenvalues (eV) -41.11395 -39.42046 -37.99367 -36.11519 -34.87372 -34.51913 -32.76200 -31.21602 -31.03402 -29.63089 -27.87295 -27.63772 -25.97490 -25.28994 -24.08266 -23.62535 -22.85021 -21.92848 -20.64043 -18.72285 -18.45062 -17.13160 -16.86353 -16.55251 -16.30149 -15.98751 -15.81674 -15.42718 -15.22877 -14.89417 -14.78613 -14.61925 -14.22669 -13.89987 -13.66728 -13.41619 -13.17691 -12.98028 -12.85462 -12.36763 -12.31637 -12.21583 -12.14486 -11.88906 -11.73572 -11.61074 -11.40679 -11.28795 -11.22351 -11.06918 -10.96771 -10.78286 -10.64887 -10.63156 -10.37824 -10.23589 -10.13086 -9.71275 -9.60926 -9.43263 -9.16667 -8.51584 -7.91657 -7.74569 -6.12286 -4.17513 3.23138 3.25172 3.30742 3.34745 3.65892 3.86684 3.89025 3.97270 4.37128 4.48229 4.72234 4.74739 4.96081 4.98376 5.06145 5.11173 5.14107 5.18886 5.22299 5.25747 5.30665 5.41182 5.47379 5.51828 5.56308 5.62808 5.65757 5.67657 5.69462 5.74941 5.80142 5.84766 5.87436 5.90264 5.94103 5.96850 6.03726 6.14222 6.22900 6.27016 6.33963 6.37478 6.90435 7.04336 7.20008 7.29156 7.34273 7.43601 7.45827 7.83280 8.14545 8.30642 8.80047 8.96752 9.47854 10.95754 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011234 B = 0.004166 C = 0.003671 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2491.893076 B = 6720.233203 C = 7625.440136 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.138 4.138 2 C 0.064 3.936 3 H 0.099 0.901 4 C 0.478 3.522 5 O -0.543 6.543 6 N -0.597 5.597 7 C 0.081 3.919 8 C 0.245 3.755 9 C -0.526 4.526 10 H 0.055 0.945 11 C 0.062 3.938 12 N -0.894 5.894 13 Si 0.897 3.103 14 H -0.279 1.279 15 H -0.285 1.285 16 H -0.275 1.275 17 N -0.521 5.521 18 C 0.029 3.971 19 C 0.070 3.930 20 O -0.389 6.389 21 C 0.077 3.923 22 C -0.082 4.082 23 C -0.142 4.142 24 C 0.062 3.938 25 O -0.386 6.386 26 C 0.061 3.939 27 C -0.122 4.122 28 C 0.064 3.936 29 H 0.061 0.939 30 H 0.072 0.928 31 H 0.066 0.934 32 H 0.046 0.954 33 H 0.074 0.926 34 H 0.057 0.943 35 H 0.031 0.969 36 H 0.042 0.958 37 H 0.264 0.736 38 H 0.073 0.927 39 H 0.086 0.914 40 H 0.066 0.934 41 H 0.064 0.936 42 H 0.084 0.916 43 H 0.054 0.946 44 H 0.075 0.925 45 H 0.074 0.926 46 H 0.091 0.909 47 H 0.052 0.948 48 H 0.087 0.913 49 H 0.051 0.949 50 H 0.062 0.938 51 H 0.088 0.912 52 H 0.069 0.931 53 H 0.045 0.955 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.530 5.713 -16.950 18.722 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 -0.196 4.196 2 C -0.048 4.048 3 H 0.116 0.884 4 C 0.263 3.737 5 O -0.421 6.421 6 N -0.329 5.329 7 C -0.063 4.063 8 C 0.126 3.874 9 C -0.565 4.565 10 H 0.073 0.927 11 C -0.140 4.140 12 N -0.533 5.533 13 Si 0.724 3.276 14 H -0.205 1.205 15 H -0.210 1.210 16 H -0.200 1.200 17 N -0.244 5.244 18 C -0.097 4.097 19 C -0.007 4.007 20 O -0.308 6.308 21 C 0.001 3.999 22 C -0.083 4.083 23 C -0.180 4.180 24 C -0.014 4.014 25 O -0.305 6.305 26 C -0.015 4.015 27 C -0.160 4.160 28 C -0.065 4.065 29 H 0.080 0.920 30 H 0.091 0.909 31 H 0.085 0.915 32 H 0.065 0.935 33 H 0.093 0.907 34 H 0.076 0.924 35 H 0.049 0.951 36 H 0.060 0.940 37 H 0.073 0.927 38 H 0.091 0.909 39 H 0.104 0.896 40 H 0.084 0.916 41 H 0.082 0.918 42 H 0.103 0.897 43 H 0.072 0.928 44 H 0.094 0.906 45 H 0.093 0.907 46 H 0.109 0.891 47 H 0.070 0.930 48 H 0.105 0.895 49 H 0.069 0.931 50 H 0.081 0.919 51 H 0.107 0.893 52 H 0.088 0.912 53 H 0.063 0.937 Dipole moment (debyes) X Y Z Total from point charges -5.421 5.262 -17.490 19.052 hybrid contribution 1.362 -0.269 1.660 2.164 sum -4.059 4.993 -15.830 17.088 Atomic orbital electron populations 1.21807 0.92330 1.02678 1.02790 1.21948 0.97188 0.98517 0.87146 0.88359 1.21423 0.79462 0.87606 0.85239 1.90653 1.48892 1.17589 1.84945 1.48264 1.61802 1.12506 1.10362 1.21710 0.98877 0.83637 1.02096 1.19277 0.94171 0.93613 0.80372 1.21376 0.93022 1.32722 1.09370 0.92685 1.24930 0.98621 0.94873 0.95592 1.69924 1.36145 1.33776 1.13407 0.86518 0.85094 0.77744 0.78201 1.20546 1.21018 1.19960 1.59478 1.13044 1.16060 1.35807 1.22395 1.02359 0.89011 0.95971 1.22360 0.87777 1.00172 0.90364 1.87816 1.13402 1.89493 1.40097 1.22170 0.84072 0.93967 0.99721 1.20969 0.95010 0.96715 0.95565 1.22118 0.95059 0.97750 1.03077 1.22493 0.96522 0.90304 0.92119 1.87880 1.18207 1.69160 1.55284 1.22577 0.81125 0.96454 1.01387 1.21888 1.02024 0.94041 0.98034 1.21294 0.88054 1.01620 0.95538 0.92048 0.90877 0.91513 0.93518 0.90744 0.92422 0.95119 0.93993 0.92659 0.90884 0.89561 0.91613 0.91775 0.89745 0.92824 0.90636 0.90734 0.89078 0.92965 0.89466 0.93055 0.91885 0.89337 0.91225 0.93732 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 -1.55 8.80 37.16 0.33 -1.22 16 2 C 0.06 0.88 1.95 -68.84 -0.13 0.75 16 3 H 0.10 1.26 5.98 -51.93 -0.31 0.95 16 4 C 0.48 9.16 6.14 -10.98 -0.07 9.10 16 5 O -0.54 -12.52 12.50 5.55 0.07 -12.45 16 6 N -0.60 -12.03 2.86 -182.96 -0.52 -12.55 16 7 C 0.08 1.21 9.57 59.85 0.57 1.78 16 8 C 0.25 6.25 5.16 -5.20 -0.03 6.22 16 9 C -0.53 -14.60 9.39 -34.44 -0.32 -14.92 16 10 H 0.05 1.53 7.81 -52.48 -0.41 1.12 16 11 C 0.06 1.75 5.46 -17.82 -0.10 1.65 16 12 N -0.89 -26.24 13.29 55.43 0.74 -25.50 16 13 Si 0.90 21.57 29.54 -169.99 -5.02 16.55 16 14 H -0.28 -6.53 7.11 56.52 0.40 -6.13 16 15 H -0.28 -6.81 7.11 56.52 0.40 -6.41 16 16 H -0.27 -6.58 7.11 56.52 0.40 -6.18 16 17 N -0.52 -7.03 3.16 -233.19 -0.74 -7.76 16 18 C 0.03 0.41 3.36 -4.72 -0.02 0.40 16 19 C 0.07 0.85 6.25 35.90 0.22 1.07 16 20 O -0.39 -5.21 9.69 -35.23 -0.34 -5.56 16 21 C 0.08 0.99 5.38 36.13 0.19 1.19 16 22 C -0.08 -1.00 0.53 -154.82 -0.08 -1.08 16 23 C -0.14 -1.62 4.74 -26.72 -0.13 -1.74 16 24 C 0.06 0.72 6.52 37.12 0.24 0.96 16 25 O -0.39 -4.88 10.77 -35.23 -0.38 -5.26 16 26 C 0.06 0.68 6.54 37.14 0.24 0.92 16 27 C -0.12 -1.40 4.17 -26.73 -0.11 -1.51 16 28 C 0.06 0.92 2.78 -6.52 -0.02 0.90 16 29 H 0.06 0.74 6.23 -51.93 -0.32 0.41 16 30 H 0.07 0.69 8.14 -51.93 -0.42 0.26 16 31 H 0.07 0.69 7.03 -51.93 -0.37 0.32 16 32 H 0.05 0.59 7.72 -51.93 -0.40 0.19 16 33 H 0.07 1.17 8.07 -51.93 -0.42 0.75 16 34 H 0.06 0.70 5.94 -51.93 -0.31 0.39 16 35 H 0.03 0.80 8.07 -51.93 -0.42 0.38 16 36 H 0.04 1.22 7.42 -51.93 -0.39 0.83 16 37 H 0.26 7.32 8.31 -40.82 -0.34 6.98 16 38 H 0.07 1.25 5.19 -52.06 -0.27 0.98 16 39 H 0.09 1.23 5.31 -51.72 -0.27 0.95 16 40 H 0.07 0.74 7.65 -51.75 -0.40 0.35 16 41 H 0.06 0.71 8.17 -51.74 -0.42 0.29 16 42 H 0.08 0.97 7.74 -51.70 -0.40 0.57 16 43 H 0.05 0.77 6.11 -52.02 -0.32 0.45 16 44 H 0.07 0.88 8.15 -51.86 -0.42 0.45 16 45 H 0.07 0.79 8.02 -51.85 -0.42 0.37 16 46 H 0.09 0.92 8.16 -51.81 -0.42 0.50 16 47 H 0.05 0.64 6.68 -51.97 -0.35 0.29 16 48 H 0.09 0.84 8.15 -51.85 -0.42 0.42 16 49 H 0.05 0.58 6.80 -51.98 -0.35 0.23 16 50 H 0.06 0.74 8.15 -51.85 -0.42 0.32 16 51 H 0.09 1.06 5.89 -51.89 -0.31 0.75 16 52 H 0.07 0.99 4.73 -51.98 -0.25 0.74 16 53 H 0.04 0.81 6.57 -51.86 -0.34 0.47 16 LS Contribution 382.06 15.07 5.76 5.76 Total: -1.00 -31.97 382.06 -8.32 -40.29 By element: Atomic # 1 Polarization: 10.71 SS G_CDS: -8.68 Total: 2.03 kcal Atomic # 6 Polarization: 3.66 SS G_CDS: 0.80 Total: 4.46 kcal Atomic # 7 Polarization: -45.29 SS G_CDS: -0.52 Total: -45.81 kcal Atomic # 8 Polarization: -22.62 SS G_CDS: -0.65 Total: -23.27 kcal Atomic # 14 Polarization: 21.57 SS G_CDS: -5.02 Total: 16.55 kcal Total LS contribution 5.76 Total: 5.76 kcal Total: -31.97 -8.32 -40.29 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. ZINC000184119245.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 -65.120 kcal (2) G-P(sol) polarization free energy of solvation -31.968 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -97.088 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.319 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.287 kcal (6) G-S(sol) free energy of system = (1) + (5) -105.407 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 3.23 seconds