Wall clock time and date at job start Sat Apr 11 2020 06:10:44 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 1.52995 * 109.47605 * 2 1 4 4 H 1.09005 * 109.46908 * 55.00107 * 3 2 1 5 5 C 1.53001 * 109.47439 * 174.99862 * 3 2 1 6 6 O 1.42902 * 109.47623 * 295.00546 * 3 2 1 7 7 C 1.42897 * 113.99952 * 149.99374 * 6 3 2 8 8 C 1.50699 * 109.46659 * 180.02562 * 7 6 3 9 9 O 1.21283 * 120.00332 * 0.02562 * 8 7 6 10 10 N 1.34774 * 120.00386 * 180.02562 * 8 7 6 11 11 C 1.47161 * 120.98330 * 0.02562 * 10 8 7 12 12 C 1.53300 * 108.37118 * 129.38539 * 11 10 8 13 13 O 1.42968 * 109.22612 * 52.35397 * 12 11 10 14 14 C 1.42893 * 114.20887 * 297.50525 * 13 12 11 15 15 C 1.52990 * 109.55769 * 302.52586 * 14 13 12 16 16 C 1.53195 * 109.34738 * 300.95636 * 15 14 13 17 17 N 1.46932 * 108.77517 * 305.43150 * 16 15 14 18 18 C 1.36939 * 120.63776 * 233.64856 * 17 16 15 19 19 H 1.07994 * 120.00388 * 29.31573 * 18 17 16 20 20 C 1.38812 * 119.99894 * 209.31432 * 18 17 16 21 21 N 1.31629 * 119.99846 * 24.33934 * 20 18 17 22 22 Si 1.86794 * 120.00220 * 204.34404 * 20 18 17 23 23 H 1.48499 * 109.47166 * 180.02562 * 22 20 18 24 24 H 1.48505 * 109.47008 * 299.99540 * 22 20 18 25 25 H 1.48500 * 109.47268 * 59.99635 * 22 20 18 26 26 C 1.46925 * 118.71825 * 53.92877 * 17 16 15 27 27 C 1.52999 * 109.54877 * 182.22567 * 14 13 12 28 28 C 1.47149 * 120.99342 * 179.97438 * 10 8 7 29 29 H 1.09000 * 109.46920 * 299.99648 * 1 2 3 30 30 H 1.08997 * 109.47449 * 59.99540 * 1 2 3 31 31 H 1.08998 * 109.47563 * 179.97438 * 1 2 3 32 32 H 1.09006 * 109.46579 * 240.00111 * 2 1 3 33 33 H 1.08996 * 109.47254 * 120.00970 * 2 1 3 34 34 H 1.08998 * 109.47371 * 300.00957 * 5 3 2 35 35 H 1.09003 * 109.46521 * 60.00612 * 5 3 2 36 36 H 1.08995 * 109.47164 * 180.02562 * 5 3 2 37 37 H 1.08999 * 109.47022 * 60.00389 * 7 6 3 38 38 H 1.08994 * 109.47609 * 299.99685 * 7 6 3 39 39 H 1.08994 * 109.68916 * 249.10678 * 11 10 8 40 40 H 1.09007 * 109.67928 * 9.67074 * 11 10 8 41 41 H 1.08998 * 109.51173 * 172.27788 * 12 11 10 42 42 H 1.09005 * 109.51524 * 292.38219 * 12 11 10 43 43 H 1.09006 * 109.48402 * 180.99735 * 15 14 13 44 44 H 1.08991 * 109.51177 * 60.93914 * 15 14 13 45 45 H 1.09000 * 109.58085 * 185.64434 * 16 15 14 46 46 H 1.08999 * 109.70030 * 65.29021 * 16 15 14 47 47 H 0.96998 * 119.99676 * 5.78285 * 21 20 18 48 48 H 1.09008 * 109.58706 * 65.84446 * 26 17 16 49 49 H 1.08998 * 109.59128 * 186.27686 * 26 17 16 50 50 H 1.08997 * 109.49447 * 178.99766 * 27 14 13 51 51 H 1.09001 * 109.49212 * 299.05162 * 27 14 13 52 52 H 1.09005 * 109.67843 * 110.76276 * 28 10 8 53 53 H 1.08996 * 109.70440 * 350.24439 * 28 10 8 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 2.0401 1.4424 0.0000 4 1 1.6055 1.9815 0.8419 5 6 3.5649 1.4442 0.1258 6 8 1.6620 2.0815 -1.2210 7 6 1.4560 3.4903 -1.1000 8 6 1.0628 4.0572 -2.4398 9 8 0.9677 3.3267 -3.4032 10 7 0.8166 5.3761 -2.5675 11 6 0.9259 6.2825 -1.4133 12 6 1.8072 7.4711 -1.8140 13 8 1.3045 8.0430 -3.0240 14 6 1.3335 7.1590 -4.1463 15 6 2.7664 6.6775 -4.3820 16 6 3.6729 7.8863 -4.6350 17 7 3.1112 8.6756 -5.7397 18 6 3.8773 8.9958 -6.8287 19 1 4.6782 8.3403 -7.1371 20 6 3.6245 10.1631 -7.5361 21 7 3.0226 11.1736 -6.9451 22 14 4.1383 10.2999 -9.3267 23 1 3.7582 11.6367 -9.8500 24 1 5.6094 10.1269 -9.4342 25 1 3.4567 9.2453 -10.1194 26 6 1.7136 9.1200 -5.6506 27 6 0.8267 7.8930 -5.3894 28 6 0.4316 5.9529 -3.8654 29 1 -0.3633 0.5138 0.8900 30 1 -0.3634 0.5139 -0.8899 31 1 -0.3634 -1.0276 -0.0005 32 1 1.8932 -0.5139 -0.8901 33 1 1.8933 -0.5140 0.8899 34 1 3.8533 0.9567 1.0570 35 1 3.9994 0.9052 -0.7162 36 1 3.9282 2.4718 0.1262 37 1 2.3770 3.9644 -0.7607 38 1 0.6620 3.6808 -0.3781 39 1 -0.0648 6.6387 -1.1310 40 1 1.3799 5.7552 -0.5742 41 1 1.7899 8.2203 -1.0225 42 1 2.8306 7.1294 -1.9697 43 1 2.7901 6.0173 -5.2491 44 1 3.1179 6.1367 -3.5035 45 1 4.6726 7.5437 -4.9021 46 1 3.7251 8.5009 -3.7364 47 1 2.8310 11.1355 -5.9949 48 1 1.6079 9.8317 -4.8317 49 1 1.4197 9.5921 -6.5881 50 1 0.8660 7.2234 -6.2485 51 1 -0.2014 8.2164 -5.2270 52 1 -0.6095 6.2739 -3.8301 53 1 0.5596 5.2082 -4.6509 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 ZINC001485007168.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 06:10:44 Heat of formation + Delta-G solvation = -103.357004 kcal Electronic energy + Delta-G solvation = -31871.226152 eV Core-core repulsion = 27743.781997 eV Total energy + Delta-G solvation = -4127.444155 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.85 seconds Orbital eigenvalues (eV) -40.78829 -39.30522 -38.20902 -36.40830 -34.69563 -34.14658 -33.19747 -31.26198 -30.30608 -29.91457 -28.98117 -28.55386 -26.15493 -24.20771 -23.88268 -23.43390 -22.36495 -21.40278 -21.06771 -19.29784 -19.01576 -17.66933 -17.46292 -17.17713 -16.40890 -16.02992 -15.55588 -15.34289 -14.95434 -14.81234 -14.49482 -14.20943 -14.11301 -13.84903 -13.71146 -13.65846 -13.44373 -13.37817 -13.13880 -13.04071 -12.40952 -12.38240 -12.06296 -11.98243 -11.92888 -11.73971 -11.71744 -11.50620 -11.36404 -10.96321 -10.92632 -10.68086 -10.53175 -10.44407 -10.31324 -10.11453 -9.97602 -9.95811 -9.73830 -9.50488 -9.23687 -8.52025 -8.32501 -6.81614 -6.01566 -3.19558 2.42069 2.47409 3.47754 3.52452 3.55834 3.73810 3.86618 4.21907 4.45123 4.58440 4.62685 4.64810 4.66156 4.71646 4.79630 4.85409 4.95976 4.99544 5.01331 5.16988 5.19083 5.24951 5.26429 5.30142 5.32956 5.50092 5.57171 5.58264 5.60177 5.63110 5.70057 5.77158 5.81035 5.82116 5.94134 5.99863 6.16994 6.19429 6.22400 6.37432 6.44196 6.49881 6.67568 6.78798 6.87520 7.07890 7.19228 7.28585 7.44597 8.01991 8.06111 8.63172 9.17448 9.89691 10.36023 11.26314 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.021756 B = 0.002478 C = 0.002408 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1286.691461 B =11297.077363 C =11622.911185 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.153 4.153 2 C -0.120 4.120 3 C 0.083 3.917 4 H 0.061 0.939 5 C -0.177 4.177 6 O -0.354 6.354 7 C 0.047 3.953 8 C 0.516 3.484 9 O -0.516 6.516 10 N -0.611 5.611 11 C 0.072 3.928 12 C 0.043 3.957 13 O -0.357 6.357 14 C 0.118 3.882 15 C -0.152 4.152 16 C 0.155 3.845 17 N -0.598 5.598 18 C -0.349 4.349 19 H 0.054 0.946 20 C -0.024 4.024 21 N -0.916 5.916 22 Si 1.064 2.936 23 H -0.286 1.286 24 H -0.293 1.293 25 H -0.293 1.293 26 C 0.159 3.841 27 C -0.121 4.121 28 C 0.091 3.909 29 H 0.050 0.950 30 H 0.063 0.937 31 H 0.054 0.946 32 H 0.073 0.927 33 H 0.075 0.925 34 H 0.066 0.934 35 H 0.066 0.934 36 H 0.057 0.943 37 H 0.078 0.922 38 H 0.077 0.923 39 H 0.079 0.921 40 H 0.087 0.913 41 H 0.102 0.898 42 H 0.060 0.940 43 H 0.069 0.931 44 H 0.051 0.949 45 H 0.051 0.949 46 H 0.019 0.981 47 H 0.270 0.730 48 H 0.027 0.973 49 H 0.078 0.922 50 H 0.074 0.926 51 H 0.060 0.940 52 H 0.073 0.927 53 H 0.099 0.901 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.209 -16.484 19.186 25.826 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 -0.210 4.210 2 C -0.158 4.158 3 C 0.025 3.975 4 H 0.079 0.921 5 C -0.235 4.235 6 O -0.272 6.272 7 C -0.033 4.033 8 C 0.303 3.697 9 O -0.391 6.391 10 N -0.347 5.347 11 C -0.051 4.051 12 C -0.035 4.035 13 O -0.275 6.275 14 C 0.078 3.922 15 C -0.191 4.191 16 C 0.028 3.972 17 N -0.321 5.321 18 C -0.478 4.478 19 H 0.071 0.929 20 C -0.226 4.226 21 N -0.556 5.556 22 Si 0.894 3.106 23 H -0.211 1.211 24 H -0.221 1.221 25 H -0.221 1.221 26 C 0.033 3.967 27 C -0.161 4.161 28 C -0.031 4.031 29 H 0.069 0.931 30 H 0.082 0.918 31 H 0.074 0.926 32 H 0.092 0.908 33 H 0.093 0.907 34 H 0.085 0.915 35 H 0.085 0.915 36 H 0.076 0.924 37 H 0.095 0.905 38 H 0.095 0.905 39 H 0.097 0.903 40 H 0.105 0.895 41 H 0.120 0.880 42 H 0.078 0.922 43 H 0.088 0.912 44 H 0.070 0.930 45 H 0.070 0.930 46 H 0.036 0.964 47 H 0.081 0.919 48 H 0.045 0.955 49 H 0.096 0.904 50 H 0.093 0.907 51 H 0.079 0.921 52 H 0.091 0.909 53 H 0.118 0.882 Dipole moment (debyes) X Y Z Total from point charges -5.376 -15.831 17.100 23.915 hybrid contribution 0.292 -1.140 1.905 2.239 sum -5.084 -16.972 19.005 25.982 Atomic orbital electron populations 1.21744 0.95304 1.01747 1.02223 1.21623 0.96716 0.94578 1.02839 1.22246 0.94423 0.94230 0.86609 0.92115 1.22316 0.95938 1.02570 1.02662 1.88071 1.89354 1.17741 1.32032 1.22240 1.01220 0.84271 0.95571 1.20192 0.77551 0.81663 0.90294 1.90734 1.50436 1.57866 1.40050 1.48063 1.69285 1.06542 1.10835 1.22519 1.01896 0.92373 0.88349 1.22904 0.96827 0.95110 0.88658 1.88065 1.83984 1.38757 1.16721 1.21749 0.94721 0.88497 0.87248 1.22506 0.95700 1.00061 1.00851 1.20760 0.94615 0.90662 0.91133 1.44100 1.07097 1.62480 1.18456 1.19955 1.16773 1.05028 1.06046 0.92869 1.25855 1.00087 0.90732 1.05949 1.70774 1.42869 1.29011 1.12932 0.83539 0.75643 0.75725 0.75694 1.21115 1.22061 1.22052 1.20930 0.83357 0.92082 1.00332 1.22154 0.99544 1.00426 0.93978 1.22452 0.98784 0.96662 0.85175 0.93129 0.91764 0.92650 0.90821 0.90655 0.91483 0.91451 0.92411 0.90456 0.90478 0.90261 0.89509 0.87966 0.92226 0.91248 0.93043 0.92999 0.96360 0.91949 0.95517 0.90389 0.90727 0.92122 0.90882 0.88222 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -1.15 9.81 37.16 0.36 -0.78 16 2 C -0.12 -0.88 5.64 -26.74 -0.15 -1.03 16 3 C 0.08 0.66 2.72 -26.73 -0.07 0.59 16 4 H 0.06 0.38 7.79 -51.93 -0.40 -0.02 16 5 C -0.18 -1.27 9.53 37.16 0.35 -0.92 16 6 O -0.35 -4.13 9.06 -55.14 -0.50 -4.63 16 7 C 0.05 0.47 4.60 36.01 0.17 0.63 16 8 C 0.52 7.16 7.79 -10.99 -0.09 7.07 16 9 O -0.52 -9.47 15.97 -14.36 -0.23 -9.70 16 10 N -0.61 -7.80 2.52 -172.33 -0.44 -8.24 16 11 C 0.07 0.68 6.54 -3.53 -0.02 0.66 16 12 C 0.04 0.51 6.60 37.31 0.25 0.75 16 13 O -0.36 -5.83 9.00 -35.23 -0.32 -6.14 16 14 C 0.12 1.98 0.68 -90.52 -0.06 1.92 16 15 C -0.15 -2.76 4.33 -26.64 -0.12 -2.88 16 16 C 0.15 3.34 6.28 -3.71 -0.02 3.32 16 17 N -0.60 -15.15 2.83 -172.05 -0.49 -15.64 16 18 C -0.35 -9.86 9.48 -15.06 -0.14 -10.00 16 19 H 0.05 1.52 7.94 -52.49 -0.42 1.10 16 20 C -0.02 -0.69 4.69 -17.43 -0.08 -0.77 16 21 N -0.92 -27.60 12.45 55.49 0.69 -26.91 16 22 Si 1.06 25.52 29.98 -169.99 -5.10 20.42 16 23 H -0.29 -6.93 7.11 56.52 0.40 -6.52 16 24 H -0.29 -6.77 7.11 56.52 0.40 -6.37 16 25 H -0.29 -6.80 7.11 56.52 0.40 -6.40 16 26 C 0.16 3.75 4.49 -3.48 -0.02 3.74 16 27 C -0.12 -2.30 5.12 -26.41 -0.14 -2.43 16 28 C 0.09 1.35 5.29 -3.58 -0.02 1.33 16 29 H 0.05 0.32 8.14 -51.93 -0.42 -0.10 16 30 H 0.06 0.62 7.82 -51.93 -0.41 0.21 16 31 H 0.05 0.36 8.14 -51.93 -0.42 -0.06 16 32 H 0.07 0.62 8.14 -51.93 -0.42 0.20 16 33 H 0.07 0.41 8.14 -51.93 -0.42 -0.01 16 34 H 0.07 0.36 8.14 -51.93 -0.42 -0.06 16 35 H 0.07 0.56 8.14 -51.93 -0.42 0.13 16 36 H 0.06 0.41 7.87 -51.93 -0.41 0.00 16 37 H 0.08 0.62 7.39 -51.93 -0.38 0.23 16 38 H 0.08 0.56 7.96 -51.93 -0.41 0.15 16 39 H 0.08 0.67 8.14 -51.93 -0.42 0.25 16 40 H 0.09 0.54 6.05 -51.93 -0.31 0.23 16 41 H 0.10 0.97 8.14 -51.93 -0.42 0.54 16 42 H 0.06 0.74 6.29 -51.93 -0.33 0.41 16 43 H 0.07 1.36 8.14 -51.93 -0.42 0.94 16 44 H 0.05 0.85 6.16 -51.93 -0.32 0.53 16 45 H 0.05 1.14 7.93 -51.93 -0.41 0.72 16 46 H 0.02 0.40 7.83 -51.93 -0.41 0.00 16 47 H 0.27 8.22 6.72 -40.82 -0.27 7.94 16 48 H 0.03 0.66 7.54 -51.92 -0.39 0.27 16 49 H 0.08 2.05 6.38 -51.93 -0.33 1.72 16 50 H 0.07 1.43 8.14 -51.93 -0.42 1.01 16 51 H 0.06 1.03 8.14 -51.93 -0.42 0.61 16 52 H 0.07 1.01 8.14 -51.93 -0.42 0.58 16 53 H 0.10 1.63 7.08 -51.93 -0.37 1.26 16 LS Contribution 403.15 15.07 6.08 6.08 Total: -1.00 -34.53 403.15 -9.54 -44.07 By element: Atomic # 1 Polarization: 8.94 SS G_CDS: -9.45 Total: -0.51 kcal Atomic # 6 Polarization: 1.00 SS G_CDS: 0.20 Total: 1.20 kcal Atomic # 7 Polarization: -50.55 SS G_CDS: -0.23 Total: -50.78 kcal Atomic # 8 Polarization: -19.43 SS G_CDS: -1.05 Total: -20.48 kcal Atomic # 14 Polarization: 25.52 SS G_CDS: -5.10 Total: 20.42 kcal Total LS contribution 6.08 Total: 6.08 kcal Total: -34.53 -9.54 -44.07 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. ZINC001485007168.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 -59.289 kcal (2) G-P(sol) polarization free energy of solvation -34.529 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -93.818 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.539 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.068 kcal (6) G-S(sol) free energy of system = (1) + (5) -103.357 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.86 seconds