Wall clock time and date at job start Sat Apr 11 2020 06:11:42 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 1.52999 * 1 3 3 C 1.52999 * 109.47158 * 2 1 4 4 C 1.52998 * 109.47054 * 239.99932 * 2 1 3 5 5 O 1.45196 * 109.46860 * 120.00283 * 2 1 3 6 6 C 1.34637 * 117.00697 * 60.00187 * 5 2 1 7 7 O 1.21515 * 119.99448 * 359.97438 * 6 5 2 8 8 N 1.34773 * 120.00418 * 180.02562 * 6 5 2 9 9 C 1.47613 * 125.80273 * 6.61741 * 8 6 5 10 10 C 1.54965 * 104.86659 * 155.98303 * 9 8 6 11 11 C 1.55305 * 101.66007 * 36.68247 * 10 9 8 12 12 H 1.08996 * 110.75850 * 83.51633 * 11 10 9 13 13 N 1.46905 * 110.75403 * 206.70626 * 11 10 9 14 14 C 1.46899 * 111.00140 * 283.17075 * 13 11 10 15 15 C 1.52997 * 109.46980 * 180.02562 * 14 13 11 16 16 H 1.08994 * 109.47518 * 60.00188 * 15 14 13 17 17 O 1.42908 * 109.47240 * 300.00167 * 15 14 13 18 18 C 1.50704 * 109.47126 * 180.02562 * 15 14 13 19 19 H 1.08001 * 119.99797 * 359.97438 * 18 15 14 20 20 C 1.37874 * 120.00253 * 179.97438 * 18 15 14 21 21 N 1.31524 * 120.00024 * 359.97438 * 20 18 15 22 22 Si 1.86802 * 120.00230 * 179.97438 * 20 18 15 23 23 H 1.48501 * 109.47230 * 90.00087 * 22 20 18 24 24 H 1.48497 * 109.47024 * 210.00060 * 22 20 18 25 25 H 1.48505 * 109.46805 * 330.00026 * 22 20 18 26 26 C 1.46384 * 125.79819 * 186.64258 * 8 6 5 27 27 C 1.53142 * 115.36176 * 311.10821 * 26 8 6 28 28 C 1.53895 * 86.89516 * 92.04907 * 27 26 8 29 29 C 1.53136 * 115.37838 * 51.27233 * 26 8 6 30 30 H 1.08994 * 109.47115 * 299.99777 * 1 2 3 31 31 H 1.09001 * 109.46914 * 59.99919 * 1 2 3 32 32 H 1.09004 * 109.47055 * 179.97438 * 1 2 3 33 33 H 1.08994 * 109.46845 * 179.97438 * 3 2 1 34 34 H 1.08992 * 109.47093 * 299.99683 * 3 2 1 35 35 H 1.09001 * 109.46615 * 59.99916 * 3 2 1 36 36 H 1.09004 * 109.47372 * 300.00030 * 4 2 1 37 37 H 1.09001 * 109.47138 * 60.00286 * 4 2 1 38 38 H 1.09002 * 109.47231 * 180.02562 * 4 2 1 39 39 H 1.09002 * 110.35935 * 37.13555 * 9 8 6 40 40 H 1.09005 * 110.36275 * 274.83584 * 9 8 6 41 41 H 1.08997 * 110.98496 * 278.59218 * 10 9 8 42 42 H 1.08999 * 110.98930 * 154.77360 * 10 9 8 43 43 H 1.00896 * 110.99456 * 159.21724 * 13 11 10 44 44 H 1.09005 * 109.46999 * 60.00458 * 14 13 11 45 45 H 1.08992 * 109.47048 * 300.00363 * 14 13 11 46 46 H 0.96703 * 113.99303 * 299.99936 * 17 15 14 47 47 H 0.96993 * 120.00285 * 180.02562 * 21 20 18 48 48 H 1.09006 * 113.64234 * 206.55196 * 27 26 8 49 49 H 1.08995 * 113.64808 * 337.54807 * 27 26 8 50 50 H 1.08996 * 113.59430 * 270.37977 * 28 27 26 51 51 H 1.08995 * 113.67187 * 139.54148 * 28 27 26 52 52 H 1.09001 * 113.64747 * 22.46204 * 29 26 8 53 53 H 1.09002 * 113.64396 * 153.46541 * 29 26 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 2.0400 1.4425 0.0000 4 6 2.0400 -0.7213 -1.2492 5 8 2.0139 -0.6845 1.1855 6 6 1.6522 -1.9724 1.3383 7 8 0.9509 -2.5095 0.5039 8 7 2.0672 -2.6655 2.4171 9 6 2.8007 -2.1093 3.5711 10 6 2.4983 -3.0808 4.7400 11 6 2.4747 -4.4517 4.0107 12 1 3.4843 -4.8466 3.8977 13 7 1.6209 -5.4082 4.7278 14 6 2.3031 -5.9334 5.9180 15 6 1.3849 -6.9243 6.6364 16 1 1.1416 -7.7472 5.9644 17 8 0.1827 -6.2599 7.0307 18 6 2.0845 -7.4627 7.8578 19 1 3.0842 -7.1316 8.0974 20 6 1.4484 -8.3779 8.6693 21 7 0.2308 -8.7808 8.3779 22 14 2.3159 -9.0459 10.1829 23 1 2.0164 -8.1766 11.3491 24 1 1.8393 -10.4251 10.4583 25 1 3.7815 -9.0669 9.9445 26 6 1.8675 -4.0979 2.6434 27 6 0.4383 -4.6034 2.4257 28 6 0.8552 -4.9048 0.9753 29 6 2.3008 -5.0108 1.4928 30 1 -0.3633 0.5138 0.8899 31 1 -0.3633 0.5139 -0.8900 32 1 -0.3633 -1.0277 -0.0005 33 1 3.1299 1.4424 0.0005 34 1 1.6767 1.9563 -0.8899 35 1 1.6766 1.9563 0.8900 36 1 1.6766 -1.7490 -1.2493 37 1 1.6767 -0.2074 -2.1392 38 1 3.1300 -0.7217 -1.2490 39 1 2.4366 -1.1090 3.8055 40 1 3.8707 -2.0856 3.3647 41 1 1.5301 -2.8610 5.1897 42 1 3.2906 -3.0501 5.4880 43 1 1.3271 -6.1574 4.1192 44 1 2.5467 -5.1105 6.5900 45 1 3.2198 -6.4405 5.6172 46 1 0.3238 -5.5149 7.6309 47 1 -0.2169 -9.4244 8.9490 48 1 0.1968 -5.4944 3.0054 49 1 -0.3187 -3.8238 2.5099 50 1 0.6962 -4.0697 0.2931 51 1 0.4588 -5.8452 0.5925 52 1 3.0370 -4.5578 0.8288 53 1 2.5782 -6.0153 1.8124 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 ZINC000931184642.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 06:11:42 Heat of formation + Delta-G solvation = -79.050806 kcal Electronic energy + Delta-G solvation = -31897.562937 eV Core-core repulsion = 27771.172778 eV Total energy + Delta-G solvation = -4126.390159 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.76 seconds Orbital eigenvalues (eV) -41.47649 -39.89098 -36.98783 -36.10390 -35.76107 -34.22213 -33.75019 -32.07241 -30.46664 -28.18795 -27.67953 -27.61092 -26.45983 -25.59487 -24.14687 -23.60813 -22.38957 -21.00015 -20.50222 -19.82203 -18.44620 -17.45998 -16.91508 -16.77979 -16.49943 -15.81829 -15.62995 -15.22696 -14.78742 -14.64650 -14.56677 -14.10327 -13.99374 -13.87498 -13.52198 -13.25765 -13.12048 -12.81129 -12.75945 -12.51049 -12.40365 -12.29860 -12.15209 -11.99570 -11.87291 -11.62078 -11.48253 -11.41017 -11.33784 -10.96752 -10.91873 -10.81781 -10.74644 -10.64207 -10.52651 -10.26382 -10.08265 -9.85029 -9.30199 -9.00190 -8.75246 -8.58839 -8.10039 -7.85279 -6.00818 -4.19424 1.92903 2.70588 3.26876 3.34160 3.36111 3.67960 4.31768 4.44785 4.47378 4.50597 4.53115 4.56763 4.64780 4.84523 4.86291 5.14061 5.18241 5.19202 5.26517 5.27030 5.28422 5.31368 5.41930 5.45816 5.50233 5.56858 5.61012 5.64359 5.71690 5.83550 5.93856 5.95559 6.04265 6.06932 6.11529 6.14169 6.14741 6.16638 6.29408 6.33475 6.38315 6.51013 6.61800 6.82499 6.95698 7.48508 7.53275 7.66817 7.82589 7.87988 8.19362 8.37981 8.84335 9.46029 9.62176 11.03238 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.027026 B = 0.002353 C = 0.002288 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1035.803287 B =11896.394490 C =12237.466998 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.183 4.183 2 C 0.136 3.864 3 C -0.140 4.140 4 C -0.183 4.183 5 O -0.363 6.363 6 C 0.669 3.331 7 O -0.552 6.552 8 N -0.578 5.578 9 C 0.106 3.894 10 C -0.122 4.122 11 C 0.089 3.911 12 H 0.052 0.948 13 N -0.664 5.664 14 C 0.034 3.966 15 C 0.235 3.765 16 H 0.051 0.949 17 O -0.554 6.554 18 C -0.573 4.573 19 H 0.054 0.946 20 C 0.079 3.921 21 N -0.858 5.858 22 Si 0.889 3.111 23 H -0.279 1.279 24 H -0.286 1.286 25 H -0.274 1.274 26 C 0.162 3.838 27 C -0.125 4.125 28 C -0.178 4.178 29 C -0.145 4.145 30 H 0.059 0.941 31 H 0.068 0.932 32 H 0.090 0.910 33 H 0.065 0.935 34 H 0.079 0.921 35 H 0.066 0.934 36 H 0.089 0.911 37 H 0.069 0.931 38 H 0.058 0.942 39 H 0.080 0.920 40 H 0.068 0.932 41 H 0.090 0.910 42 H 0.081 0.919 43 H 0.340 0.660 44 H 0.062 0.938 45 H 0.022 0.978 46 H 0.343 0.657 47 H 0.260 0.740 48 H 0.101 0.899 49 H 0.066 0.934 50 H 0.146 0.854 51 H 0.051 0.949 52 H 0.062 0.938 53 H 0.085 0.915 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 5.006 18.389 -17.275 25.722 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 -0.240 4.240 2 C 0.099 3.901 3 C -0.197 4.197 4 C -0.240 4.240 5 O -0.278 6.278 6 C 0.426 3.574 7 O -0.443 6.443 8 N -0.317 5.317 9 C -0.017 4.017 10 C -0.160 4.160 11 C -0.023 4.023 12 H 0.070 0.930 13 N -0.297 5.297 14 C -0.094 4.094 15 C 0.177 3.823 16 H 0.069 0.931 17 O -0.356 6.356 18 C -0.612 4.612 19 H 0.073 0.927 20 C -0.127 4.127 21 N -0.493 5.493 22 Si 0.716 3.284 23 H -0.205 1.205 24 H -0.211 1.211 25 H -0.199 1.199 26 C 0.077 3.923 27 C -0.164 4.164 28 C -0.214 4.214 29 C -0.184 4.184 30 H 0.078 0.922 31 H 0.087 0.913 32 H 0.108 0.892 33 H 0.084 0.916 34 H 0.098 0.902 35 H 0.085 0.915 36 H 0.107 0.893 37 H 0.087 0.913 38 H 0.077 0.923 39 H 0.098 0.902 40 H 0.086 0.914 41 H 0.109 0.891 42 H 0.100 0.900 43 H 0.160 0.840 44 H 0.081 0.919 45 H 0.041 0.959 46 H 0.186 0.814 47 H 0.070 0.930 48 H 0.119 0.881 49 H 0.085 0.915 50 H 0.163 0.837 51 H 0.070 0.930 52 H 0.081 0.919 53 H 0.103 0.897 Dipole moment (debyes) X Y Z Total from point charges 4.007 18.247 -17.648 25.699 hybrid contribution 1.605 -0.643 0.898 1.948 sum 5.612 17.604 -16.750 24.939 Atomic orbital electron populations 1.22516 0.93908 1.05250 1.02371 1.22049 0.94433 0.91424 0.82149 1.21852 1.02165 0.92658 1.03067 1.22516 1.01438 1.03602 0.96427 1.86318 1.71311 1.23785 1.46339 1.17548 0.78579 0.80110 0.81131 1.90459 1.41373 1.68119 1.44373 1.46692 1.58317 1.08492 1.18167 1.22412 0.96170 0.98164 0.84934 1.22885 1.03743 0.93247 0.96170 1.22245 0.94862 0.94221 0.90924 0.92980 1.60725 1.40135 1.19897 1.08947 1.22945 0.96542 0.98821 0.91125 1.19292 0.81930 0.88332 0.92749 0.93129 1.86564 1.33673 1.48063 1.67255 1.21619 1.01875 1.26817 1.10878 0.92749 1.25030 0.94572 0.95499 0.97592 1.70081 1.11710 1.30153 1.37380 0.86680 0.79896 0.78356 0.83455 1.20523 1.21148 1.19925 1.21511 0.98528 0.78126 0.94140 1.23033 0.94747 1.01891 0.96685 1.24118 0.94157 1.04141 0.98978 1.23243 0.98726 0.99126 0.97292 0.92204 0.91283 0.89169 0.91572 0.90207 0.91491 0.89251 0.91252 0.92341 0.90198 0.91394 0.89123 0.90000 0.83963 0.91911 0.95944 0.81385 0.92991 0.88096 0.91516 0.83722 0.92988 0.91938 0.89660 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 -0.18 -1.69 8.37 37.16 0.31 -1.38 16 2 C 0.14 1.27 1.13 -90.62 -0.10 1.16 16 3 C -0.14 -0.94 8.85 37.16 0.33 -0.61 16 4 C -0.18 -1.63 8.37 37.16 0.31 -1.31 16 5 O -0.36 -4.26 9.50 -40.32 -0.38 -4.64 16 6 C 0.67 8.83 7.64 54.05 0.41 9.24 16 7 O -0.55 -7.73 7.46 -19.28 -0.14 -7.88 16 8 N -0.58 -7.43 3.17 -161.94 -0.51 -7.94 16 9 C 0.11 1.16 6.93 -2.39 -0.02 1.14 16 10 C -0.12 -1.49 6.23 -24.47 -0.15 -1.64 16 11 C 0.09 1.22 2.81 -66.10 -0.19 1.04 16 12 H 0.05 0.72 8.02 -51.93 -0.42 0.30 16 13 N -0.66 -10.99 5.36 -105.03 -0.56 -11.56 16 14 C 0.03 0.66 5.14 -3.83 -0.02 0.64 16 15 C 0.24 5.75 3.03 -27.88 -0.08 5.67 16 16 H 0.05 1.37 8.14 -51.93 -0.42 0.95 16 17 O -0.55 -14.06 12.59 -35.23 -0.44 -14.50 16 18 C -0.57 -15.36 8.76 -34.44 -0.30 -15.66 16 19 H 0.05 1.42 7.74 -52.49 -0.41 1.01 16 20 C 0.08 2.19 5.40 -17.82 -0.10 2.10 16 21 N -0.86 -25.16 12.84 55.43 0.71 -24.45 16 22 Si 0.89 20.92 29.54 -169.99 -5.02 15.90 16 23 H -0.28 -6.51 7.11 56.52 0.40 -6.11 16 24 H -0.29 -6.71 7.11 56.52 0.40 -6.31 16 25 H -0.27 -6.34 7.11 56.52 0.40 -5.94 16 26 C 0.16 2.17 1.40 -131.36 -0.18 1.99 16 27 C -0.12 -1.81 6.66 -26.19 -0.17 -1.99 16 28 C -0.18 -2.43 7.44 -25.80 -0.19 -2.62 16 29 C -0.15 -1.89 7.29 -26.19 -0.19 -2.08 16 30 H 0.06 0.55 8.14 -51.93 -0.42 0.12 16 31 H 0.07 0.50 8.14 -51.93 -0.42 0.08 16 32 H 0.09 1.04 5.88 -51.93 -0.31 0.73 16 33 H 0.07 0.43 8.14 -51.93 -0.42 0.01 16 34 H 0.08 0.39 8.14 -51.93 -0.42 -0.03 16 35 H 0.07 0.44 8.14 -51.93 -0.42 0.02 16 36 H 0.09 0.99 5.88 -51.93 -0.31 0.68 16 37 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 38 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 39 H 0.08 0.80 8.13 -51.93 -0.42 0.38 16 40 H 0.07 0.66 8.14 -51.93 -0.42 0.24 16 41 H 0.09 1.24 8.14 -51.93 -0.42 0.82 16 42 H 0.08 0.92 8.14 -51.93 -0.42 0.49 16 43 H 0.34 5.71 6.80 -39.29 -0.27 5.44 16 44 H 0.06 1.18 7.76 -51.93 -0.40 0.78 16 45 H 0.02 0.43 8.12 -51.93 -0.42 0.01 16 46 H 0.34 7.87 9.04 45.56 0.41 8.28 16 47 H 0.26 7.25 8.31 -40.82 -0.34 6.91 16 48 H 0.10 1.54 5.83 -51.93 -0.30 1.24 16 49 H 0.07 1.05 8.14 -51.93 -0.42 0.63 16 50 H 0.15 2.14 4.12 -56.68 -0.23 1.91 16 51 H 0.05 0.68 8.14 -51.93 -0.42 0.26 16 52 H 0.06 0.81 8.14 -51.93 -0.42 0.39 16 53 H 0.08 1.07 8.13 -51.93 -0.42 0.64 16 LS Contribution 404.97 15.07 6.10 6.10 Total: -1.00 -30.06 404.97 -9.14 -39.20 By element: Atomic # 1 Polarization: 22.64 SS G_CDS: -8.55 Total: 14.09 kcal Atomic # 6 Polarization: -3.98 SS G_CDS: -0.34 Total: -4.32 kcal Atomic # 7 Polarization: -43.59 SS G_CDS: -0.36 Total: -43.95 kcal Atomic # 8 Polarization: -26.05 SS G_CDS: -0.97 Total: -27.02 kcal Atomic # 14 Polarization: 20.92 SS G_CDS: -5.02 Total: 15.90 kcal Total LS contribution 6.10 Total: 6.10 kcal Total: -30.06 -9.14 -39.20 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. ZINC000931184642.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 -39.852 kcal (2) G-P(sol) polarization free energy of solvation -30.063 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -69.914 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.137 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.199 kcal (6) G-S(sol) free energy of system = (1) + (5) -79.051 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.76 seconds