Wall clock time and date at job start Tue Mar 31 2020 20:45:25 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 1.53004 * 1 3 3 H 1.09005 * 110.27015 * 2 1 4 4 C 1.54942 * 110.39247 * 237.85302 * 2 1 3 5 5 C 1.55310 * 100.93987 * 204.59728 * 4 2 1 6 6 C 1.54381 * 102.25105 * 34.13330 * 5 4 2 7 7 H 1.08996 * 109.90782 * 98.20092 * 6 5 4 8 8 C 1.53005 * 109.82865 * 219.13343 * 6 5 4 9 9 C 1.50703 * 109.47062 * 184.58589 * 8 6 5 10 10 O 1.21284 * 119.99898 * 0.02562 * 9 8 6 11 11 N 1.34775 * 120.00050 * 179.97438 * 9 8 6 12 12 C 1.47482 * 125.66140 * 0.02562 * 11 9 8 13 13 C 1.55024 * 104.90050 * 203.99784 * 12 11 9 14 14 C 1.54813 * 101.63365 * 323.72221 * 13 12 11 15 15 C 1.47174 * 125.66130 * 180.02562 * 11 9 8 16 16 C 1.52275 * 110.36937 * 153.03411 * 14 13 12 17 17 C 1.53318 * 109.41671 * 182.27342 * 16 14 13 18 18 N 1.46924 * 108.70566 * 306.48066 * 17 16 14 19 19 C 1.36941 * 120.56058 * 234.26142 * 18 17 16 20 20 H 1.08002 * 119.99889 * 152.43184 * 19 18 17 21 21 C 1.38803 * 120.00177 * 332.42995 * 19 18 17 22 22 N 1.31620 * 119.99748 * 159.35126 * 21 19 18 23 23 Si 1.86802 * 120.00142 * 339.35314 * 21 19 18 24 24 H 1.48499 * 109.47016 * 93.18902 * 23 21 19 25 25 H 1.48504 * 109.46852 * 213.18722 * 23 21 19 26 26 H 1.48500 * 109.46992 * 333.18785 * 23 21 19 27 27 C 1.46928 * 118.87031 * 54.24067 * 18 17 16 28 28 C 1.52279 * 110.17568 * 276.30661 * 14 13 12 29 29 O 1.43236 * 107.59003 * 338.63904 * 6 5 4 30 30 H 1.08993 * 109.47299 * 299.36520 * 1 2 3 31 31 H 1.09010 * 109.46765 * 59.36808 * 1 2 3 32 32 H 1.09000 * 109.47194 * 179.35956 * 1 2 3 33 33 H 1.09004 * 111.12696 * 322.51101 * 4 2 1 34 34 H 1.09004 * 111.13008 * 86.68011 * 4 2 1 35 35 H 1.09007 * 110.84615 * 275.94370 * 5 4 2 36 36 H 1.08994 * 110.85142 * 152.31964 * 5 4 2 37 37 H 1.08997 * 109.47327 * 64.58577 * 8 6 5 38 38 H 1.08999 * 109.47113 * 304.58602 * 8 6 5 39 39 H 1.09005 * 110.35272 * 322.84929 * 12 11 9 40 40 H 1.09004 * 110.35369 * 85.03166 * 12 11 9 41 41 H 1.08996 * 111.01609 * 81.68648 * 13 12 11 42 42 H 1.09000 * 111.01157 * 205.55647 * 13 12 11 43 43 H 1.08999 * 109.91123 * 297.87965 * 15 11 9 44 44 H 1.09002 * 109.91041 * 58.95983 * 15 11 9 45 45 H 1.09007 * 109.47777 * 302.25089 * 16 14 13 46 46 H 1.08997 * 109.48453 * 62.28672 * 16 14 13 47 47 H 1.09004 * 109.59704 * 186.71498 * 17 16 14 48 48 H 1.09000 * 109.72613 * 66.32779 * 17 16 14 49 49 H 0.97001 * 119.99824 * 180.02562 * 22 21 19 50 50 H 1.09006 * 109.59922 * 185.99565 * 27 18 17 51 51 H 1.08998 * 109.73442 * 65.60256 * 27 18 17 52 52 H 1.09003 * 109.47862 * 297.59810 * 28 14 13 53 53 H 1.09002 * 109.47805 * 57.61258 * 28 14 13 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 1.9077 1.0225 0.0000 4 6 2.0699 -0.7728 -1.2297 5 6 3.4722 -1.2001 -0.7168 6 6 3.2125 -1.4393 0.7861 7 1 3.0656 -2.5031 0.9726 8 6 4.3990 -0.9278 1.6057 9 6 4.1885 -1.2660 3.0592 10 8 3.1883 -1.8583 3.4053 11 7 5.1122 -0.9112 3.9742 12 6 6.3687 -0.1918 3.6933 13 6 7.3121 -0.5646 4.8655 14 6 6.3225 -0.6292 6.0543 15 6 5.0345 -1.1774 5.4196 16 6 6.8405 -1.5811 7.1241 17 6 5.8186 -1.6721 8.2634 18 7 5.5133 -0.3136 8.7323 19 6 5.6460 0.0125 10.0556 20 1 5.8618 1.0313 10.3417 21 6 5.5030 -0.9663 11.0293 22 7 6.0118 -0.7805 12.2289 23 14 4.5885 -2.5473 10.6373 24 1 5.5561 -3.5808 10.1894 25 1 3.8816 -3.0246 11.8529 26 1 3.6007 -2.2931 9.5579 27 6 5.0638 0.6892 7.7570 28 6 6.0906 0.7650 6.6210 29 8 2.0286 -0.7156 1.1414 30 1 -0.3633 0.5039 0.8955 31 1 -0.3633 0.5237 -0.8844 32 1 -0.3633 -1.0276 -0.0115 33 1 1.4506 -1.6422 -1.4502 34 1 2.1517 -0.1202 -2.0990 35 1 4.1988 -0.4006 -0.8625 36 1 3.8006 -2.1178 -1.2045 37 1 4.4799 0.1532 1.4922 38 1 5.3155 -1.3999 1.2519 39 1 6.7921 -0.5243 2.7455 40 1 6.1933 0.8838 3.6729 41 1 7.7807 -1.5342 4.6970 42 1 8.0638 0.2088 5.0234 43 1 4.1674 -0.6715 5.8441 44 1 4.9612 -2.2505 5.5960 45 1 6.9895 -2.5697 6.6896 46 1 7.7877 -1.2088 7.5142 47 1 6.2362 -2.2567 9.0832 48 1 4.9067 -2.1480 7.9026 49 1 5.9122 -1.4647 12.9093 50 1 4.9838 1.6617 8.2429 51 1 4.0931 0.4011 7.3537 52 1 7.0300 1.1618 7.0060 53 1 5.7150 1.4193 5.8343 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001040829276.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 20:45:25 Heat of formation + Delta-G solvation = -62.073384 kcal Electronic energy + Delta-G solvation = -30695.888644 eV Core-core repulsion = 26760.690733 eV Total energy + Delta-G solvation = -3935.197911 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.30 seconds Orbital eigenvalues (eV) -40.59515 -39.83956 -38.33380 -36.05230 -33.28884 -32.89483 -32.51020 -31.34708 -30.51912 -29.64053 -29.45989 -26.79658 -25.08858 -24.05516 -23.23604 -22.38308 -21.79393 -21.13192 -20.93701 -19.14230 -18.36710 -17.34101 -17.09994 -16.53413 -16.18551 -15.85576 -15.35339 -15.20179 -14.51401 -14.43132 -14.29579 -13.92026 -13.84561 -13.49290 -13.42630 -13.32595 -13.03254 -12.78460 -12.63323 -12.39792 -12.32309 -12.21791 -12.04161 -11.97491 -11.83523 -11.71444 -11.42397 -11.36522 -11.21147 -11.09164 -11.04012 -10.80025 -10.56958 -10.40224 -10.03495 -9.82265 -9.73905 -9.69307 -9.56143 -9.36375 -8.58185 -8.52234 -6.92664 -5.92042 -3.27354 2.73851 3.01038 3.35503 3.51877 3.53011 3.57745 4.11502 4.31077 4.40075 4.46988 4.56508 4.57502 4.76076 4.82010 4.84720 4.91082 4.99420 5.03613 5.07682 5.17646 5.19236 5.26160 5.30870 5.33145 5.34280 5.41211 5.45795 5.49948 5.56877 5.58028 5.75508 5.82081 5.84111 5.88612 5.91776 5.93758 5.97537 6.05890 6.09547 6.21841 6.27022 6.36120 6.48862 6.54527 6.67421 6.70395 6.72458 6.93608 6.98183 7.60783 7.99913 8.28225 8.35807 8.97779 9.75714 10.13791 11.23985 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.019549 B = 0.002636 C = 0.002502 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1431.953805 B =10618.928233 C =11188.997187 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C 0.070 3.930 3 H 0.067 0.933 4 C -0.151 4.151 5 C -0.152 4.152 6 C 0.098 3.902 7 H 0.087 0.913 8 C -0.147 4.147 9 C 0.526 3.474 10 O -0.528 6.528 11 N -0.620 5.620 12 C 0.101 3.899 13 C -0.126 4.126 14 C -0.057 4.057 15 C 0.116 3.884 16 C -0.118 4.118 17 C 0.124 3.876 18 N -0.604 5.604 19 C -0.258 4.258 20 H 0.085 0.915 21 C 0.023 3.977 22 N -0.909 5.909 23 Si 0.880 3.120 24 H -0.289 1.289 25 H -0.304 1.304 26 H -0.269 1.269 27 C 0.146 3.854 28 C -0.119 4.119 29 O -0.356 6.356 30 H 0.063 0.937 31 H 0.066 0.934 32 H 0.062 0.938 33 H 0.079 0.921 34 H 0.081 0.919 35 H 0.078 0.922 36 H 0.083 0.917 37 H 0.095 0.905 38 H 0.100 0.900 39 H 0.070 0.930 40 H 0.068 0.932 41 H 0.074 0.926 42 H 0.084 0.916 43 H 0.074 0.926 44 H 0.065 0.935 45 H 0.055 0.945 46 H 0.071 0.929 47 H 0.073 0.927 48 H 0.025 0.975 49 H 0.262 0.738 50 H 0.063 0.937 51 H 0.023 0.977 52 H 0.067 0.933 53 H 0.054 0.946 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -0.561 1.612 -29.855 29.904 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 -0.208 4.208 2 C 0.012 3.988 3 H 0.085 0.915 4 C -0.189 4.189 5 C -0.190 4.190 6 C 0.039 3.961 7 H 0.105 0.895 8 C -0.187 4.187 9 C 0.314 3.686 10 O -0.404 6.404 11 N -0.355 5.355 12 C -0.022 4.022 13 C -0.164 4.164 14 C -0.058 4.058 15 C -0.006 4.006 16 C -0.157 4.157 17 C -0.002 4.002 18 N -0.328 5.328 19 C -0.386 4.386 20 H 0.103 0.897 21 C -0.176 4.176 22 N -0.553 5.553 23 Si 0.711 3.289 24 H -0.217 1.217 25 H -0.232 1.232 26 H -0.194 1.194 27 C 0.020 3.980 28 C -0.158 4.158 29 O -0.275 6.275 30 H 0.083 0.917 31 H 0.085 0.915 32 H 0.081 0.919 33 H 0.098 0.902 34 H 0.100 0.900 35 H 0.097 0.903 36 H 0.102 0.898 37 H 0.113 0.887 38 H 0.118 0.882 39 H 0.089 0.911 40 H 0.086 0.914 41 H 0.093 0.907 42 H 0.103 0.897 43 H 0.092 0.908 44 H 0.083 0.917 45 H 0.074 0.926 46 H 0.089 0.911 47 H 0.091 0.909 48 H 0.043 0.957 49 H 0.072 0.928 50 H 0.082 0.918 51 H 0.041 0.959 52 H 0.086 0.914 53 H 0.073 0.927 Dipole moment (debyes) X Y Z Total from point charges -1.267 1.229 -29.332 29.385 hybrid contribution -0.221 -0.884 -0.268 0.950 sum -1.488 0.345 -29.599 29.639 Atomic orbital electron populations 1.21867 0.93769 1.02849 1.02307 1.22986 0.95073 0.95551 0.85185 0.91534 1.23321 0.96110 1.00978 0.98487 1.23199 0.97966 1.02763 0.95072 1.22443 0.84652 0.97014 0.91970 0.89547 1.22109 1.00090 1.03682 0.92828 1.20135 0.82162 0.79168 0.87116 1.90745 1.27513 1.40858 1.81236 1.48655 1.20943 1.57703 1.08247 1.22346 0.84352 0.96675 0.98825 1.22920 0.97205 1.02375 0.93934 1.21023 0.93275 0.97180 0.94302 1.22094 0.98881 1.00778 0.78838 1.21915 1.00571 0.97189 0.96056 1.21379 0.95239 0.88054 0.95483 1.44330 1.76922 1.06755 1.04808 1.18916 1.42714 0.97156 0.79828 0.89730 1.25272 0.99225 0.98037 0.95020 1.69837 1.45720 1.35256 1.04440 0.86989 0.81102 0.84093 0.76729 1.21665 1.23184 1.19440 1.20981 0.93690 0.93658 0.89654 1.21905 1.01431 0.94068 0.98412 1.88659 1.41482 1.64370 1.33018 0.91741 0.91475 0.91915 0.90227 0.90027 0.90294 0.89831 0.88681 0.88230 0.91137 0.91369 0.90744 0.89748 0.90767 0.91663 0.92646 0.91072 0.90912 0.95672 0.92820 0.91808 0.95886 0.91408 0.92707 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -1.22 9.63 37.16 0.36 -0.87 16 2 C 0.07 0.62 4.07 -25.70 -0.10 0.52 16 3 H 0.07 0.55 8.14 -51.93 -0.42 0.12 16 4 C -0.15 -0.98 6.57 -24.48 -0.16 -1.14 16 5 C -0.15 -0.98 6.54 -24.78 -0.16 -1.14 16 6 C 0.10 0.99 3.04 -26.00 -0.08 0.91 16 7 H 0.09 1.00 7.95 -51.93 -0.41 0.58 16 8 C -0.15 -1.42 4.28 -27.88 -0.12 -1.54 16 9 C 0.53 7.63 7.75 -10.98 -0.09 7.54 16 10 O -0.53 -10.08 15.82 -6.85 -0.11 -10.19 16 11 N -0.62 -8.46 3.33 -170.66 -0.57 -9.02 16 12 C 0.10 1.00 6.38 -2.44 -0.02 0.98 16 13 C -0.13 -1.38 6.00 -24.71 -0.15 -1.53 16 14 C -0.06 -0.84 0.54 -153.93 -0.08 -0.92 16 15 C 0.12 1.87 5.06 -3.31 -0.02 1.85 16 16 C -0.12 -2.02 4.72 -26.94 -0.13 -2.14 16 17 C 0.12 2.72 3.93 -3.65 -0.01 2.70 16 18 N -0.60 -14.36 2.76 -172.17 -0.47 -14.83 16 19 C -0.26 -7.23 10.03 -15.06 -0.15 -7.38 16 20 H 0.09 2.52 8.06 -52.49 -0.42 2.10 16 21 C 0.02 0.68 5.23 -17.43 -0.09 0.59 16 22 N -0.91 -28.12 13.97 55.49 0.78 -27.34 16 23 Si 0.88 22.95 24.35 -169.99 -4.14 18.81 16 24 H -0.29 -7.23 6.63 56.52 0.37 -6.86 16 25 H -0.30 -8.06 7.11 56.52 0.40 -7.66 16 26 H -0.27 -7.02 6.64 56.52 0.38 -6.64 16 27 C 0.15 2.88 6.22 -3.65 -0.02 2.86 16 28 C -0.12 -1.86 4.78 -26.94 -0.13 -1.99 16 29 O -0.36 -4.59 10.05 -47.64 -0.48 -5.07 16 30 H 0.06 0.58 8.14 -51.93 -0.42 0.16 16 31 H 0.07 0.39 8.14 -51.92 -0.42 -0.03 16 32 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 33 H 0.08 0.51 8.06 -51.93 -0.42 0.09 16 34 H 0.08 0.38 8.14 -51.93 -0.42 -0.04 16 35 H 0.08 0.41 7.85 -51.93 -0.41 0.00 16 36 H 0.08 0.43 8.14 -51.93 -0.42 0.01 16 37 H 0.09 0.80 8.14 -51.93 -0.42 0.38 16 38 H 0.10 0.68 7.85 -51.93 -0.41 0.28 16 39 H 0.07 0.52 7.48 -51.93 -0.39 0.13 16 40 H 0.07 0.63 7.78 -51.93 -0.40 0.22 16 41 H 0.07 0.78 8.02 -51.93 -0.42 0.36 16 42 H 0.08 0.82 8.01 -51.93 -0.42 0.40 16 43 H 0.07 1.36 6.07 -51.93 -0.32 1.05 16 44 H 0.07 1.13 7.58 -51.93 -0.39 0.74 16 45 H 0.05 0.85 8.11 -51.92 -0.42 0.43 16 46 H 0.07 1.24 8.14 -51.93 -0.42 0.82 16 47 H 0.07 1.75 4.46 -51.93 -0.23 1.52 16 48 H 0.03 0.57 6.44 -51.93 -0.33 0.23 16 49 H 0.26 7.71 8.31 -40.82 -0.34 7.37 16 50 H 0.06 1.26 7.93 -51.93 -0.41 0.85 16 51 H 0.02 0.47 6.53 -51.93 -0.34 0.13 16 52 H 0.07 1.08 8.14 -51.93 -0.42 0.66 16 53 H 0.05 0.75 7.51 -51.93 -0.39 0.36 16 LS Contribution 392.69 15.07 5.92 5.92 Total: -1.00 -34.81 392.69 -9.75 -44.56 By element: Atomic # 1 Polarization: 7.38 SS G_CDS: -9.52 Total: -2.14 kcal Atomic # 6 Polarization: 0.46 SS G_CDS: -1.15 Total: -0.69 kcal Atomic # 7 Polarization: -50.93 SS G_CDS: -0.27 Total: -51.20 kcal Atomic # 8 Polarization: -14.67 SS G_CDS: -0.59 Total: -15.26 kcal Atomic # 14 Polarization: 22.95 SS G_CDS: -4.14 Total: 18.81 kcal Total LS contribution 5.92 Total: 5.92 kcal Total: -34.81 -9.75 -44.56 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. ZINC001040829276.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 -17.512 kcal (2) G-P(sol) polarization free energy of solvation -34.808 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -52.320 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.754 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.562 kcal (6) G-S(sol) free energy of system = (1) + (5) -62.073 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.30 seconds