Wall clock time and date at job start Sat Apr 11 2020 06:13:03 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 1.52994 * 1 3 3 C 1.53006 * 109.47019 * 2 1 4 4 C 1.50705 * 109.47169 * 119.99495 * 2 1 3 5 5 N 1.30288 * 126.34873 * 299.96073 * 4 2 1 6 6 N 1.28527 * 110.05303 * 180.02562 * 5 4 2 7 7 C 1.31210 * 109.86061 * 359.74575 * 6 5 4 8 8 N 1.38581 * 126.47576 * 180.26072 * 7 6 5 9 9 C 1.46901 * 110.99970 * 241.03236 * 8 7 6 10 10 C 1.46902 * 110.99803 * 4.98343 * 8 7 6 11 11 H 1.08998 * 109.47281 * 55.00181 * 10 8 7 12 12 C 1.53001 * 109.47156 * 295.00132 * 10 8 7 13 13 C 1.50697 * 109.46872 * 175.00615 * 10 8 7 14 14 H 1.07998 * 120.00600 * 359.97438 * 13 10 8 15 15 C 1.37886 * 120.00109 * 180.02562 * 13 10 8 16 16 N 1.31517 * 119.99467 * 359.97438 * 15 13 10 17 17 Si 1.86793 * 120.00428 * 179.97438 * 15 13 10 18 18 H 1.48501 * 109.46847 * 60.00015 * 17 15 13 19 19 H 1.48504 * 109.47128 * 179.97438 * 17 15 13 20 20 H 1.48496 * 109.47298 * 300.00410 * 17 15 13 21 21 N 1.36457 * 107.05474 * 0.39924 * 7 6 5 22 22 C 1.46501 * 127.13469 * 179.87309 * 21 7 6 23 23 C 1.52997 * 109.46984 * 263.51272 * 22 21 7 24 24 O 1.42898 * 109.47155 * 176.86954 * 23 22 21 25 25 C 1.42895 * 114.00467 * 180.02562 * 24 23 22 26 26 C 1.52999 * 109.47308 * 180.02562 * 25 24 23 27 27 C 1.53006 * 109.47177 * 180.02562 * 26 25 24 28 28 O 1.42897 * 109.47450 * 179.97438 * 27 26 25 29 29 H 1.09000 * 109.47290 * 300.00289 * 1 2 3 30 30 H 1.09006 * 109.46967 * 60.00275 * 1 2 3 31 31 H 1.09004 * 109.47383 * 180.02562 * 1 2 3 32 32 H 1.09000 * 109.47290 * 239.99711 * 2 1 3 33 33 H 1.09003 * 109.46985 * 179.97438 * 3 2 1 34 34 H 1.09002 * 109.46564 * 299.99613 * 3 2 1 35 35 H 1.08992 * 109.47545 * 59.99968 * 3 2 1 36 36 H 1.08998 * 109.47054 * 52.49705 * 9 8 7 37 37 H 1.08996 * 109.47645 * 172.50095 * 9 8 7 38 38 H 1.09007 * 109.47149 * 292.49906 * 9 8 7 39 39 H 1.09004 * 109.46938 * 59.99907 * 12 10 8 40 40 H 1.08998 * 109.47610 * 180.02562 * 12 10 8 41 41 H 1.08998 * 109.47066 * 300.00181 * 12 10 8 42 42 H 0.97003 * 120.00057 * 179.97438 * 16 15 13 43 43 H 1.08998 * 109.46585 * 143.51993 * 22 21 7 44 44 H 1.08996 * 109.47133 * 23.52012 * 22 21 7 45 45 H 1.09005 * 109.46999 * 56.87365 * 23 22 21 46 46 H 1.08997 * 109.47679 * 296.87397 * 23 22 21 47 47 H 1.09001 * 109.47176 * 300.00371 * 25 24 23 48 48 H 1.09002 * 109.47067 * 59.99987 * 25 24 23 49 49 H 1.09006 * 109.47136 * 299.99395 * 26 25 24 50 50 H 1.08989 * 109.47513 * 60.00463 * 26 25 24 51 51 H 1.09001 * 109.47132 * 299.99920 * 27 26 25 52 52 H 1.09002 * 109.47243 * 59.99616 * 27 26 25 53 53 H 0.96692 * 114.00530 * 179.97438 * 28 27 26 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 1.5299 0.0000 0.0000 3 6 2.0399 1.4426 0.0000 4 6 2.0323 -0.7103 1.2306 5 7 1.7956 -0.3742 2.4669 6 7 2.3771 -1.1960 3.2660 7 6 3.0167 -2.1110 2.5766 8 7 3.7540 -3.1652 3.0919 9 6 5.1588 -3.0806 2.6709 10 6 3.6455 -3.2174 4.5560 11 1 2.5943 -3.2610 4.8411 12 6 4.2863 -1.9662 5.1599 13 6 4.3564 -4.4432 5.0689 14 1 4.8400 -5.1164 4.3767 15 6 4.3885 -4.7059 6.4222 16 7 3.7991 -3.8864 7.2652 17 14 5.2690 -6.2256 7.0580 18 1 6.7012 -6.1665 6.6700 19 1 5.1594 -6.2783 8.5380 20 1 4.6471 -7.4398 6.4715 21 7 2.8215 -1.8267 1.2564 22 6 3.3438 -2.5675 0.1055 23 6 4.6263 -1.8981 -0.3925 24 8 5.1753 -2.6616 -1.4684 25 6 6.3822 -2.1201 -2.0088 26 6 6.8768 -3.0136 -3.1481 27 6 8.1695 -2.4341 -3.7263 28 8 8.6318 -3.2689 -4.7900 29 1 -0.3634 0.5139 0.8900 30 1 -0.3633 0.5138 -0.8901 31 1 -0.3634 -1.0277 0.0005 32 1 1.8933 -0.5139 -0.8900 33 1 3.1300 1.4426 0.0005 34 1 1.6766 1.9563 -0.8901 35 1 1.6767 1.9564 0.8899 36 1 5.5511 -2.0924 2.9108 37 1 5.7412 -3.8394 3.1935 38 1 5.2266 -3.2473 1.5958 39 1 3.7721 -1.0795 4.7888 40 1 4.2062 -2.0050 6.2462 41 1 5.3374 -1.9226 4.8747 42 1 3.8213 -4.0714 8.2172 43 1 2.6015 -2.5694 -0.6926 44 1 3.5610 -3.5936 0.4021 45 1 5.3489 -1.8462 0.4220 46 1 4.3987 -0.8907 -0.7410 47 1 6.1914 -1.1172 -2.3908 48 1 7.1411 -2.0731 -1.2278 49 1 7.0677 -4.0167 -2.7665 50 1 6.1180 -3.0602 -3.9290 51 1 7.9792 -1.4310 -4.1078 52 1 8.9283 -2.3879 -2.9452 53 1 9.4493 -2.9612 -5.2046 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 ZINC001691646512.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 06:13:03 Heat of formation + Delta-G solvation = -10.224374 kcal Electronic energy + Delta-G solvation = -31213.996607 eV Core-core repulsion = 27122.883737 eV Total energy + Delta-G solvation = -4091.112870 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 1.09 seconds Orbital eigenvalues (eV) -42.57761 -38.69171 -37.46627 -37.33973 -35.61477 -34.90042 -32.82020 -32.61370 -29.49082 -28.99923 -28.61365 -27.23756 -25.68636 -25.21313 -25.17107 -23.72052 -22.98237 -21.94730 -21.43665 -19.76496 -19.19129 -17.97304 -17.34118 -16.88228 -16.43475 -16.11075 -15.86869 -15.61563 -15.43040 -15.04703 -14.62315 -14.44820 -14.21194 -14.07078 -13.95921 -13.60254 -13.42251 -12.94849 -12.51956 -12.43122 -12.30229 -12.16209 -11.93174 -11.81208 -11.55801 -11.48678 -11.44267 -11.34835 -11.27382 -11.11604 -11.07112 -10.90860 -10.76837 -10.47792 -10.44015 -10.19336 -10.07976 -9.94571 -9.83605 -9.70982 -8.94996 -8.88363 -8.40547 -7.38149 -6.03767 -4.11279 2.15441 2.42462 3.20978 3.30002 3.35276 3.37114 3.40757 4.02245 4.33198 4.42607 4.46639 4.50029 4.62953 4.65118 4.71251 4.72993 4.83928 4.91871 4.98221 5.02468 5.04137 5.17800 5.20370 5.23467 5.27419 5.44007 5.55038 5.60350 5.63661 5.66924 5.73258 5.77921 5.78382 5.88111 5.95770 6.09305 6.16892 6.30547 6.35501 6.49182 6.74048 6.82106 6.98897 7.11467 7.15356 7.23908 7.46456 7.64552 7.73612 7.96640 8.28225 8.44546 8.90116 9.37233 9.53248 11.02464 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.007530 B = 0.003495 C = 0.002497 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3717.706823 B = 8008.844109 C =11211.912945 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.140 4.140 2 C 0.002 3.998 3 C -0.139 4.139 4 C 0.153 3.847 5 N -0.280 5.280 6 N -0.314 5.314 7 C 0.386 3.614 8 N -0.452 5.452 9 C 0.029 3.971 10 C 0.230 3.770 11 H 0.053 0.947 12 C -0.173 4.173 13 C -0.517 4.517 14 H 0.063 0.937 15 C 0.064 3.936 16 N -0.884 5.884 17 Si 0.900 3.100 18 H -0.277 1.277 19 H -0.287 1.287 20 H -0.276 1.276 21 N -0.487 5.487 22 C 0.115 3.885 23 C 0.047 3.953 24 O -0.380 6.380 25 C 0.068 3.932 26 C -0.121 4.121 27 C 0.079 3.921 28 O -0.573 6.573 29 H 0.069 0.931 30 H 0.062 0.938 31 H 0.055 0.945 32 H 0.078 0.922 33 H 0.051 0.949 34 H 0.062 0.938 35 H 0.069 0.931 36 H 0.029 0.971 37 H 0.098 0.902 38 H 0.052 0.948 39 H 0.042 0.958 40 H 0.090 0.910 41 H 0.019 0.981 42 H 0.263 0.737 43 H 0.098 0.902 44 H 0.112 0.888 45 H 0.063 0.937 46 H 0.056 0.944 47 H 0.051 0.949 48 H 0.054 0.946 49 H 0.081 0.919 50 H 0.079 0.921 51 H 0.047 0.953 52 H 0.049 0.951 53 H 0.382 0.618 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 4.801 7.659 -22.901 24.621 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 -0.199 4.199 2 C -0.019 4.019 3 C -0.197 4.197 4 C -0.115 4.115 5 N -0.119 5.119 6 N -0.158 5.158 7 C 0.031 3.969 8 N -0.175 5.175 9 C -0.118 4.118 10 C 0.126 3.874 11 H 0.071 0.929 12 C -0.232 4.232 13 C -0.555 4.555 14 H 0.082 0.918 15 C -0.138 4.138 16 N -0.521 5.521 17 Si 0.727 3.273 18 H -0.203 1.203 19 H -0.213 1.213 20 H -0.202 1.202 21 N -0.185 5.185 22 C -0.010 4.010 23 C -0.031 4.031 24 O -0.298 6.298 25 C -0.009 4.009 26 C -0.159 4.159 27 C 0.002 3.998 28 O -0.379 6.379 29 H 0.088 0.912 30 H 0.081 0.919 31 H 0.074 0.926 32 H 0.097 0.903 33 H 0.070 0.930 34 H 0.081 0.919 35 H 0.089 0.911 36 H 0.048 0.952 37 H 0.117 0.883 38 H 0.070 0.930 39 H 0.061 0.939 40 H 0.108 0.892 41 H 0.038 0.962 42 H 0.073 0.927 43 H 0.116 0.884 44 H 0.130 0.870 45 H 0.081 0.919 46 H 0.074 0.926 47 H 0.070 0.930 48 H 0.072 0.928 49 H 0.100 0.900 50 H 0.098 0.902 51 H 0.066 0.934 52 H 0.067 0.933 53 H 0.229 0.771 Dipole moment (debyes) X Y Z Total from point charges 3.439 7.462 -21.551 23.064 hybrid contribution 1.965 -0.474 -0.386 2.058 sum 5.404 6.988 -21.936 23.648 Atomic orbital electron populations 1.21796 0.93020 1.02347 1.02693 1.19434 0.96598 0.95344 0.90528 1.21791 1.00823 0.94357 1.02771 1.24468 0.99471 0.89834 0.97689 1.73907 1.19016 1.21353 0.97576 1.74905 1.15414 1.02127 1.23317 1.23322 1.00137 0.93260 0.80185 1.59303 1.09261 1.31470 1.17510 1.22547 0.87938 1.01901 0.99452 1.19365 0.98620 0.94567 0.74867 0.92917 1.22445 0.97354 0.98015 1.05423 1.20997 1.35169 1.07429 0.91927 0.91848 1.24892 0.95506 0.96765 0.96674 1.69914 1.43050 1.36336 1.02840 0.86538 0.79929 0.83117 0.77669 1.20301 1.21251 1.20161 1.46053 1.41180 1.24760 1.06532 1.21451 0.95118 0.97132 0.87266 1.22896 0.95438 0.94728 0.90065 1.87791 1.40439 1.51238 1.50374 1.22316 0.86562 0.96467 0.95557 1.21371 0.96515 1.00573 0.97420 1.21990 0.95564 0.92962 0.89330 1.86466 1.46251 1.53703 1.51444 0.91184 0.91909 0.92626 0.90332 0.92980 0.91885 0.91145 0.95236 0.88301 0.92967 0.93882 0.89156 0.96180 0.92688 0.88395 0.87025 0.91911 0.92595 0.93032 0.92785 0.90031 0.90244 0.93441 0.93284 0.77085 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 -1.46 9.17 37.15 0.34 -1.12 16 2 C 0.00 0.02 3.30 -91.77 -0.30 -0.28 16 3 C -0.14 -1.39 9.18 37.16 0.34 -1.05 16 4 C 0.15 2.46 6.58 -154.02 -1.01 1.45 16 5 N -0.28 -5.66 12.18 32.99 0.40 -5.25 16 6 N -0.31 -7.21 9.16 30.31 0.28 -6.94 16 7 C 0.39 8.05 6.70 -318.88 -2.14 5.91 16 8 N -0.45 -9.88 4.74 -176.08 -0.83 -10.72 16 9 C 0.03 0.54 7.92 60.07 0.48 1.01 16 10 C 0.23 5.93 2.04 -68.86 -0.14 5.79 16 11 H 0.05 1.56 8.02 -51.93 -0.42 1.15 16 12 C -0.17 -4.41 8.28 37.16 0.31 -4.10 16 13 C -0.52 -13.88 7.77 -34.44 -0.27 -14.15 16 14 H 0.06 1.65 6.84 -52.49 -0.36 1.29 16 15 C 0.06 1.76 5.30 -17.82 -0.09 1.66 16 16 N -0.88 -25.30 11.32 55.43 0.63 -24.67 16 17 Si 0.90 21.00 29.54 -169.99 -5.02 15.98 16 18 H -0.28 -6.33 7.11 56.52 0.40 -5.93 16 19 H -0.29 -6.69 7.11 56.52 0.40 -6.29 16 20 H -0.28 -6.40 7.11 56.52 0.40 -6.00 16 21 N -0.49 -8.00 2.81 -114.09 -0.32 -8.32 16 22 C 0.11 1.44 5.24 -4.04 -0.02 1.42 16 23 C 0.05 0.51 5.81 37.16 0.22 0.73 16 24 O -0.38 -4.08 10.34 -35.23 -0.36 -4.44 16 25 C 0.07 0.56 5.94 37.16 0.22 0.78 16 26 C -0.12 -0.97 5.95 -26.73 -0.16 -1.13 16 27 C 0.08 0.51 7.05 37.16 0.26 0.77 16 28 O -0.57 -4.27 13.66 -35.23 -0.48 -4.75 16 29 H 0.07 0.83 8.14 -51.93 -0.42 0.40 16 30 H 0.06 0.49 8.14 -51.93 -0.42 0.06 16 31 H 0.05 0.61 8.14 -51.93 -0.42 0.18 16 32 H 0.08 0.73 7.10 -51.93 -0.37 0.36 16 33 H 0.05 0.52 8.14 -51.93 -0.42 0.10 16 34 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 35 H 0.07 0.80 8.14 -51.93 -0.42 0.38 16 36 H 0.03 0.55 6.90 -51.93 -0.36 0.19 16 37 H 0.10 1.93 6.25 -51.93 -0.32 1.61 16 38 H 0.05 0.81 4.46 -51.93 -0.23 0.57 16 39 H 0.04 1.09 5.70 -51.93 -0.30 0.79 16 40 H 0.09 2.52 6.07 -51.93 -0.32 2.21 16 41 H 0.02 0.47 6.65 -51.93 -0.35 0.13 16 42 H 0.26 7.19 8.31 -40.82 -0.34 6.85 16 43 H 0.10 1.02 7.51 -51.93 -0.39 0.63 16 44 H 0.11 1.52 7.37 -51.93 -0.38 1.14 16 45 H 0.06 0.76 6.19 -51.93 -0.32 0.44 16 46 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 47 H 0.05 0.35 8.14 -51.93 -0.42 -0.07 16 48 H 0.05 0.42 8.14 -51.93 -0.42 0.00 16 49 H 0.08 0.75 8.14 -51.93 -0.42 0.33 16 50 H 0.08 0.68 8.14 -51.93 -0.42 0.25 16 51 H 0.05 0.24 8.14 -51.93 -0.42 -0.19 16 52 H 0.05 0.27 8.14 -51.93 -0.42 -0.15 16 53 H 0.38 1.03 9.12 45.56 0.42 1.44 16 LS Contribution 413.64 15.07 6.23 6.23 Total: -1.00 -33.35 413.64 -9.78 -43.13 By element: Atomic # 1 Polarization: 10.38 SS G_CDS: -8.33 Total: 2.06 kcal Atomic # 6 Polarization: -0.33 SS G_CDS: -1.97 Total: -2.30 kcal Atomic # 7 Polarization: -56.06 SS G_CDS: 0.15 Total: -55.90 kcal Atomic # 8 Polarization: -8.35 SS G_CDS: -0.85 Total: -9.19 kcal Atomic # 14 Polarization: 21.00 SS G_CDS: -5.02 Total: 15.98 kcal Total LS contribution 6.23 Total: 6.23 kcal Total: -33.35 -9.78 -43.13 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. ZINC001691646512.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 32.906 kcal (2) G-P(sol) polarization free energy of solvation -33.352 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -0.446 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.778 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.130 kcal (6) G-S(sol) free energy of system = (1) + (5) -10.224 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.09 seconds