Wall clock time and date at job start Sun Mar 7 2021 02:09:06 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= 0 * 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 1.50703 * 1 3 3 C 1.37940 * 120.07089 * 2 1 4 4 C 1.38389 * 120.13833 * 180.02562 * 3 2 1 5 5 C 1.50700 * 119.84846 * 180.02562 * 4 3 2 6 6 C 1.38331 * 120.29413 * 359.97438 * 4 3 2 7 7 C 1.50704 * 119.92711 * 180.02562 * 6 4 3 8 8 O 1.42905 * 109.46774 * 74.99989 * 7 6 4 9 9 Si 1.86300 * 109.47122 * 194.99804 * 7 6 4 10 10 C 1.37980 * 120.14865 * 359.71370 * 6 4 3 11 11 C 1.39558 * 119.84708 * 0.58751 * 10 6 4 12 12 C 1.47844 * 120.14342 * 179.69478 * 11 10 6 13 13 O 1.21552 * 120.00162 * 173.73741 * 12 11 10 14 14 N 1.34784 * 120.00101 * 353.73843 * 12 11 10 15 15 C 1.46492 * 119.99942 * 180.02562 * 14 12 11 16 16 H 1.08997 * 109.47584 * 324.99523 * 15 14 12 17 17 C 1.53002 * 109.47515 * 84.99848 * 15 14 12 18 18 C 1.52996 * 109.47103 * 179.97438 * 17 15 14 19 19 C 1.53000 * 109.47559 * 300.00035 * 18 17 15 20 20 H 1.08995 * 109.47030 * 299.99861 * 19 18 17 21 21 C 1.53005 * 109.47055 * 180.02562 * 19 18 17 22 22 C 1.52997 * 109.47236 * 59.99961 * 21 19 18 23 23 C 1.53002 * 109.46711 * 180.02562 * 21 19 18 24 24 C 1.52996 * 109.46813 * 60.00360 * 19 18 17 25 25 C 1.53005 * 109.47224 * 299.99791 * 24 19 18 26 26 H 1.08998 * 109.47472 * 263.39323 * 1 2 3 27 27 H 1.09007 * 109.47071 * 23.39044 * 1 2 3 28 28 H 1.09000 * 109.46934 * 143.38585 * 1 2 3 29 29 H 1.07998 * 119.93248 * 0.02562 * 3 2 1 30 30 H 1.08999 * 109.46938 * 90.00023 * 5 4 3 31 31 H 1.08997 * 109.47151 * 209.99853 * 5 4 3 32 32 H 1.08995 * 109.47262 * 330.00245 * 5 4 3 33 33 H 1.08997 * 109.47360 * 315.00268 * 7 6 4 34 34 H 0.96701 * 114.00297 * 60.00450 * 8 7 6 35 35 H 1.48495 * 109.99918 * 58.68658 * 9 7 6 36 36 H 1.48501 * 109.99677 * 180.02562 * 9 7 6 37 37 H 1.07995 * 120.07995 * 180.27810 * 10 6 4 38 38 H 0.96997 * 119.99394 * 0.02562 * 14 12 11 39 39 H 1.08996 * 109.46915 * 299.99924 * 17 15 14 40 40 H 1.09005 * 109.46756 * 59.99556 * 17 15 14 41 41 H 1.09004 * 109.46839 * 180.02562 * 18 17 15 42 42 H 1.08999 * 109.47251 * 60.00844 * 18 17 15 43 43 H 1.09003 * 109.46767 * 300.00016 * 21 19 18 44 44 H 1.09005 * 109.46895 * 59.99875 * 22 21 19 45 45 H 1.08998 * 109.46777 * 179.97438 * 22 21 19 46 46 H 1.08996 * 109.47103 * 300.00043 * 22 21 19 47 47 H 1.08995 * 109.46857 * 299.99289 * 23 21 19 48 48 H 1.08995 * 109.47380 * 59.99565 * 23 21 19 49 49 H 1.08997 * 109.46425 * 179.97438 * 23 21 19 50 50 H 1.09004 * 109.46688 * 180.02562 * 24 19 18 51 51 H 1.08995 * 109.47730 * 59.99929 * 24 19 18 52 52 H 1.09003 * 109.46767 * 300.00340 * 25 24 19 53 53 H 1.08995 * 109.47554 * 180.02562 * 25 24 19 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 1.5070 0.0000 0.0000 3 6 2.1982 1.1937 0.0000 4 6 3.5821 1.1954 -0.0005 5 6 4.3306 2.5033 0.0001 6 6 4.2813 0.0018 -0.0005 7 6 5.7883 0.0132 -0.0005 8 8 6.2619 0.3655 1.3009 9 14 6.4221 -1.6787 -0.4551 10 6 3.6021 -1.1993 0.0060 11 6 2.2065 -1.2080 0.0001 12 6 1.4721 -2.4912 0.0002 13 8 0.2616 -2.4986 0.1100 14 7 2.1449 -3.6527 -0.1214 15 6 1.4172 -4.9241 -0.1219 16 1 0.5632 -4.8542 0.5518 17 6 0.9257 -5.2300 -1.5382 18 6 0.1662 -6.5582 -1.5387 19 6 1.0967 -7.6781 -1.0687 20 1 1.9506 -7.7477 -1.7425 21 6 0.3372 -9.0063 -1.0699 22 6 -0.1537 -9.3119 -2.4864 23 6 1.2676 -10.1261 -0.5993 24 6 1.5880 -7.3722 0.3475 25 6 2.3477 -6.0440 0.3482 26 1 -0.3634 -0.1182 1.0208 27 1 -0.3633 0.9433 -0.4080 28 1 -0.3633 -0.8249 -0.6129 29 1 1.6583 2.1291 0.0004 30 1 4.5114 2.8180 1.0279 31 1 5.2833 2.3770 -0.5142 32 1 3.7384 3.2611 -0.5130 33 1 6.1461 0.7426 -0.7271 34 1 5.9812 -0.2415 1.9993 35 1 5.9106 -2.0700 -1.7931 36 1 7.9071 -1.6807 -0.4580 37 1 4.1491 -2.1304 0.0105 38 1 3.1109 -3.6467 -0.2086 39 1 0.2631 -4.4320 -1.8731 40 1 1.7798 -5.2999 -2.2119 41 1 -0.1835 -6.7763 -2.5478 42 1 -0.6878 -6.4886 -0.8650 43 1 -0.5170 -8.9370 -0.3963 44 1 0.7005 -9.3811 -3.1599 45 1 -0.6943 -10.2583 -2.4872 46 1 -0.8166 -8.5140 -2.8212 47 1 2.1220 -10.1955 -1.2726 48 1 1.6171 -9.9082 0.4098 49 1 0.7264 -11.0722 -0.5997 50 1 2.2513 -8.1699 0.6821 51 1 0.7341 -7.3026 1.0213 52 1 3.2016 -6.1137 -0.3257 53 1 2.6981 -5.8263 1.3570 There are 63 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 63 No. of singly occupied orbitals= 1 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=0 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 s_22_14589126_9599494.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sun Mar 7 2021 02:09:06 Heat of formation + Delta-G solvation = -73.434527 kcal Electronic energy + Delta-G solvation = -29540.869029 eV Core-core repulsion = 25763.341762 eV Total energy + Delta-G solvation = -3777.527267 eV No. of doubly occupied orbitals = 63 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 332.214 amu Computer time = 0.77 seconds Orbital eigenvalues (eV) -41.71059 -40.58166 -39.50862 -37.68906 -36.68961 -34.50213 -34.35730 -33.08064 -31.95444 -29.98250 -29.01819 -28.23626 -28.07752 -25.61936 -24.20589 -23.60778 -23.47661 -22.10506 -21.35468 -20.82037 -20.59208 -18.99681 -17.69524 -17.45526 -16.79188 -16.54557 -16.27778 -16.07489 -16.05386 -15.53793 -15.33029 -15.20775 -14.88025 -14.73050 -14.64581 -14.46955 -14.30335 -14.23196 -14.07814 -13.81865 -13.48679 -13.41117 -13.14272 -13.08419 -12.88979 -12.73809 -12.65348 -12.61226 -12.50823 -12.29413 -12.14036 -12.10527 -12.08553 -11.85190 -11.66027 -11.37141 -11.14274 -10.97164 -10.52704 -10.46048 -10.04814 -9.88185 -9.57766 -5.18379 -0.19983 0.17698 1.17854 1.52593 1.85091 1.88107 2.11601 2.70875 3.36154 3.48196 3.53549 3.63631 3.65164 3.68320 3.75480 3.84221 3.97326 4.08188 4.14876 4.16571 4.26493 4.28651 4.35688 4.40054 4.47559 4.50958 4.52079 4.53540 4.60247 4.63408 4.70328 4.72479 4.75909 4.76260 4.88008 4.93835 4.95136 4.96398 5.00439 5.05110 5.06222 5.07736 5.11153 5.14831 5.16727 5.24397 5.30898 5.33463 5.34852 5.47644 5.49183 5.52831 5.58147 5.61810 5.82399 6.48780 6.49740 7.25314 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.124 4.124 2 C -0.009 4.009 3 C -0.132 4.132 4 C -0.025 4.025 5 C -0.121 4.121 6 C -0.138 4.138 7 C -0.064 4.064 8 O -0.536 6.536 9 Si 0.671 3.329 10 C -0.071 4.071 11 C -0.145 4.145 12 C 0.561 3.439 13 O -0.526 6.526 14 N -0.726 5.726 15 C 0.146 3.854 16 H 0.091 0.909 17 C -0.129 4.129 18 C -0.113 4.113 19 C -0.084 4.084 20 H 0.071 0.929 21 C -0.093 4.093 22 C -0.151 4.151 23 C -0.151 4.151 24 C -0.113 4.113 25 C -0.127 4.127 26 H 0.078 0.922 27 H 0.059 0.941 28 H 0.097 0.903 29 H 0.132 0.868 30 H 0.082 0.918 31 H 0.071 0.929 32 H 0.068 0.932 33 H 0.116 0.884 34 H 0.379 0.621 35 H -0.253 1.253 36 H -0.250 1.250 37 H 0.127 0.873 38 H 0.397 0.603 39 H 0.067 0.933 40 H 0.063 0.937 41 H 0.069 0.931 42 H 0.065 0.935 43 H 0.070 0.930 44 H 0.053 0.947 45 H 0.053 0.947 46 H 0.058 0.942 47 H 0.053 0.947 48 H 0.057 0.943 49 H 0.053 0.947 50 H 0.072 0.928 51 H 0.066 0.934 52 H 0.068 0.932 53 H 0.071 0.929 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.756 -2.124 0.847 2.883 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 -0.180 4.180 2 C -0.010 4.010 3 C -0.150 4.150 4 C -0.026 4.026 5 C -0.177 4.177 6 C -0.139 4.139 7 C -0.175 4.175 8 O -0.342 6.342 9 Si 0.573 3.427 10 C -0.089 4.089 11 C -0.148 4.148 12 C 0.349 3.651 13 O -0.404 6.404 14 N -0.377 5.377 15 C 0.042 3.958 16 H 0.109 0.891 17 C -0.168 4.168 18 C -0.151 4.151 19 C -0.103 4.103 20 H 0.089 0.911 21 C -0.111 4.111 22 C -0.208 4.208 23 C -0.208 4.208 24 C -0.150 4.150 25 C -0.166 4.166 26 H 0.097 0.903 27 H 0.078 0.922 28 H 0.115 0.885 29 H 0.150 0.850 30 H 0.100 0.900 31 H 0.090 0.910 32 H 0.087 0.913 33 H 0.133 0.867 34 H 0.226 0.774 35 H -0.177 1.177 36 H -0.175 1.175 37 H 0.144 0.856 38 H 0.232 0.768 39 H 0.086 0.914 40 H 0.081 0.919 41 H 0.087 0.913 42 H 0.083 0.917 43 H 0.088 0.912 44 H 0.072 0.928 45 H 0.072 0.928 46 H 0.077 0.923 47 H 0.073 0.927 48 H 0.076 0.924 49 H 0.072 0.928 50 H 0.090 0.910 51 H 0.084 0.916 52 H 0.087 0.913 53 H 0.089 0.911 Dipole moment (debyes) X Y Z Total from point charges 1.630 -2.134 0.018 2.685 hybrid contribution 0.392 0.614 -0.288 0.783 sum 2.022 -1.520 -0.270 2.543 Atomic orbital electron populations 1.21126 0.89654 1.03292 1.03899 1.20101 0.97031 0.91255 0.92586 1.21042 0.93350 0.97902 1.02746 1.19994 0.93449 0.95155 0.93980 1.20920 1.00034 0.93379 1.03349 1.20046 0.96150 0.92832 1.04848 1.24999 0.91621 1.11533 0.89313 1.86518 1.75822 1.55780 1.16055 0.95193 0.81509 0.80526 0.85504 1.20986 0.93119 0.96822 0.98007 1.19650 0.92989 0.93369 1.08827 1.18217 0.87146 0.83562 0.76182 1.90747 1.13529 1.86973 1.49141 1.46045 1.10717 1.05873 1.75047 1.21045 0.95461 0.81640 0.97634 0.89127 1.21924 1.00492 0.97924 0.96438 1.21610 0.98230 0.93379 1.01915 1.21257 0.98189 0.94071 0.96734 0.91088 1.21142 0.98259 0.94367 0.97331 1.21908 1.01145 1.01472 0.96294 1.21907 0.99509 0.98105 1.01254 1.21597 1.00251 0.96138 0.97056 1.21830 0.98391 0.94438 1.01891 0.90342 0.92206 0.88512 0.84963 0.89981 0.91039 0.91293 0.86701 0.77408 1.17740 1.17485 0.85608 0.76806 0.91389 0.91859 0.91289 0.91654 0.91202 0.92760 0.92776 0.92350 0.92742 0.92360 0.92784 0.90962 0.91556 0.91306 0.91050 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -0.12 -0.22 8.73 36.01 0.31 0.09 16 2 C -0.01 -0.02 5.91 -104.22 -0.62 -0.63 16 3 C -0.13 -0.11 9.31 -39.64 -0.37 -0.48 16 4 C -0.03 -0.01 5.89 -104.53 -0.62 -0.63 16 5 C -0.12 0.07 9.53 36.01 0.34 0.41 16 6 C -0.14 0.02 5.25 -104.68 -0.55 -0.53 16 7 C -0.06 0.05 2.04 36.01 0.07 0.13 16 8 O -0.54 0.32 12.80 -35.23 -0.45 -0.13 16 9 Si 0.67 -1.19 29.92 -169.99 -5.09 -6.28 16 10 C -0.07 0.04 8.13 -39.18 -0.32 -0.27 16 11 C -0.15 -0.20 5.87 -104.97 -0.62 -0.82 16 12 C 0.56 1.18 7.67 -12.33 -0.09 1.08 16 13 O -0.53 -2.61 13.00 5.32 0.07 -2.54 16 14 N -0.73 0.42 5.03 -54.75 -0.28 0.14 16 15 C 0.15 -0.08 2.45 -67.93 -0.17 -0.25 16 16 H 0.09 0.12 7.58 -51.93 -0.39 -0.27 16 17 C -0.13 0.02 5.49 -26.73 -0.15 -0.13 16 18 C -0.11 0.09 4.85 -26.73 -0.13 -0.04 16 19 C -0.08 0.13 1.77 -90.62 -0.16 -0.03 16 20 H 0.07 -0.09 8.14 -51.93 -0.42 -0.51 16 21 C -0.09 0.11 2.51 -90.62 -0.23 -0.12 16 22 C -0.15 0.13 8.84 37.16 0.33 0.46 16 23 C -0.15 0.20 8.84 37.16 0.33 0.52 16 24 C -0.11 0.23 4.85 -26.73 -0.13 0.10 16 25 C -0.13 0.30 5.39 -26.73 -0.14 0.16 16 26 H 0.08 0.16 8.14 -51.93 -0.42 -0.26 16 27 H 0.06 0.02 8.04 -51.93 -0.42 -0.40 16 28 H 0.10 0.33 5.85 -51.93 -0.30 0.03 16 29 H 0.13 -0.09 8.06 -52.49 -0.42 -0.51 16 30 H 0.08 -0.04 8.14 -51.93 -0.42 -0.47 16 31 H 0.07 -0.04 6.22 -51.93 -0.32 -0.36 16 32 H 0.07 -0.10 8.08 -51.93 -0.42 -0.52 16 33 H 0.12 -0.06 6.48 -51.93 -0.34 -0.39 16 34 H 0.38 -1.60 8.70 45.56 0.40 -1.20 16 35 H -0.25 -0.14 7.11 56.52 0.40 0.26 16 36 H -0.25 -0.38 7.11 56.52 0.40 0.02 16 37 H 0.13 -0.43 3.53 -52.49 -0.19 -0.62 16 38 H 0.40 -1.20 6.68 -40.82 -0.27 -1.47 16 39 H 0.07 0.12 8.14 -51.93 -0.42 -0.30 16 40 H 0.06 -0.03 8.14 -51.93 -0.42 -0.45 16 41 H 0.07 -0.04 6.43 -51.93 -0.33 -0.38 16 42 H 0.06 -0.01 8.14 -51.93 -0.42 -0.43 16 43 H 0.07 -0.05 8.14 -51.93 -0.42 -0.47 16 44 H 0.05 -0.04 8.14 -51.93 -0.42 -0.46 16 45 H 0.05 -0.04 8.14 -51.93 -0.42 -0.46 16 46 H 0.06 -0.05 6.43 -51.93 -0.33 -0.38 16 47 H 0.05 -0.06 8.14 -51.93 -0.42 -0.49 16 48 H 0.06 -0.09 6.43 -51.93 -0.33 -0.43 16 49 H 0.05 -0.05 8.14 -51.93 -0.42 -0.48 16 50 H 0.07 -0.17 6.43 -51.93 -0.33 -0.50 16 51 H 0.07 -0.10 8.14 -51.93 -0.42 -0.52 16 52 H 0.07 -0.21 8.14 -51.93 -0.42 -0.63 16 53 H 0.07 -0.20 8.14 -51.93 -0.42 -0.62 16 LS Contribution 397.21 15.07 5.99 5.99 Total: 0.00 -5.67 397.21 -11.78 -17.45 By element: Atomic # 1 Polarization: -4.53 SS G_CDS: -9.13 Total: -13.66 kcal Atomic # 6 Polarization: 1.92 SS G_CDS: -2.90 Total: -0.97 kcal Atomic # 7 Polarization: 0.42 SS G_CDS: -0.28 Total: 0.14 kcal Atomic # 8 Polarization: -2.29 SS G_CDS: -0.38 Total: -2.67 kcal Atomic # 14 Polarization: -1.19 SS G_CDS: -5.09 Total: -6.28 kcal Total LS contribution 5.99 Total: 5.99 kcal Total: -5.67 -11.78 -17.45 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. s_22_14589126_9599494.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 -55.984 kcal (2) G-P(sol) polarization free energy of solvation -5.668 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -61.651 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -11.783 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -17.451 kcal (6) G-S(sol) free energy of system = (1) + (5) -73.435 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.77 seconds