Wall clock time and date at job start Sat Apr 11 2020 06:14:25 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 N 1.46900 * 1 3 3 C 1.46901 * 110.99809 * 2 1 4 4 C 1.46903 * 111.00097 * 123.95408 * 2 1 3 5 5 C 1.53001 * 109.47424 * 170.00581 * 4 2 1 6 6 C 1.50698 * 109.47194 * 179.97438 * 5 4 2 7 7 O 1.21278 * 120.00063 * 359.97438 * 6 5 4 8 8 N 1.34771 * 120.00006 * 179.97438 * 6 5 4 9 9 C 1.46497 * 120.00162 * 179.97438 * 8 6 5 10 10 H 1.09002 * 110.01562 * 34.93635 * 9 8 6 11 11 C 1.54272 * 110.03335 * 273.54637 * 9 8 6 12 12 C 1.54889 * 104.19810 * 217.10549 * 11 9 8 13 13 C 1.54884 * 102.74652 * 37.94198 * 12 11 9 14 14 H 1.08994 * 110.49047 * 80.87304 * 13 12 11 15 15 C 1.53007 * 110.48467 * 203.38018 * 13 12 11 16 16 N 1.46898 * 109.46873 * 291.75964 * 15 13 12 17 17 C 1.46903 * 110.99849 * 179.97438 * 16 15 13 18 18 C 1.50699 * 109.47398 * 179.97438 * 17 16 15 19 19 O 1.21297 * 119.99867 * 359.97438 * 18 17 16 20 20 N 1.34774 * 120.00325 * 180.02562 * 18 17 16 21 21 C 1.37092 * 119.99974 * 179.97438 * 20 18 17 22 22 H 1.08000 * 120.00583 * 0.02562 * 21 20 18 23 23 C 1.38955 * 120.00110 * 179.97438 * 21 20 18 24 24 N 1.31413 * 119.99820 * 0.02562 * 23 21 20 25 25 Si 1.86796 * 120.00230 * 179.72236 * 23 21 20 26 26 H 1.48497 * 109.47173 * 0.02562 * 25 23 21 27 27 H 1.48506 * 109.46866 * 120.00218 * 25 23 21 28 28 H 1.48501 * 109.47438 * 240.00339 * 25 23 21 29 29 C 1.54082 * 109.93118 * 156.41626 * 9 8 6 30 30 H 1.08995 * 109.47202 * 296.04451 * 1 2 3 31 31 H 1.08997 * 109.46797 * 56.05329 * 1 2 3 32 32 H 1.09001 * 109.46772 * 176.04832 * 1 2 3 33 33 H 1.09003 * 109.46764 * 183.95021 * 3 2 1 34 34 H 1.09000 * 109.47049 * 303.95177 * 3 2 1 35 35 H 1.09004 * 109.47101 * 63.95422 * 3 2 1 36 36 H 1.09000 * 109.47256 * 49.99805 * 4 2 1 37 37 H 1.09006 * 109.47072 * 290.00341 * 4 2 1 38 38 H 1.08997 * 109.46826 * 59.99583 * 5 4 2 39 39 H 1.08999 * 109.46602 * 299.99592 * 5 4 2 40 40 H 0.97003 * 120.00098 * 0.02562 * 8 6 5 41 41 H 1.09006 * 110.48218 * 98.42643 * 11 9 8 42 42 H 1.08998 * 110.48856 * 335.78649 * 11 9 8 43 43 H 1.09005 * 110.75447 * 279.62826 * 12 11 9 44 44 H 1.08994 * 110.75527 * 156.26222 * 12 11 9 45 45 H 1.09007 * 109.47030 * 171.75849 * 15 13 12 46 46 H 1.09001 * 109.46922 * 51.76218 * 15 13 12 47 47 H 1.00898 * 111.00544 * 56.04865 * 16 15 13 48 48 H 1.09005 * 109.47310 * 59.99621 * 17 16 15 49 49 H 1.08999 * 109.47201 * 300.00515 * 17 16 15 50 50 H 0.97005 * 119.99841 * 0.02562 * 20 18 17 51 51 H 0.97000 * 120.00377 * 179.97438 * 24 23 21 52 52 H 1.08998 * 110.15991 * 0.12142 * 29 9 8 53 53 H 1.09001 * 110.00725 * 238.62900 * 29 9 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 7 1.4690 0.0000 0.0000 3 6 1.9954 1.3715 0.0000 4 6 1.9955 -0.7660 1.1376 5 6 3.5045 -0.9553 0.9705 6 6 4.0446 -1.7405 2.1378 7 8 3.2964 -2.1118 3.0171 8 7 5.3592 -2.0302 2.2046 9 6 5.8843 -2.7931 3.3397 10 1 5.1510 -3.5312 3.6645 11 6 6.2264 -1.8403 4.5038 12 6 7.5111 -2.4439 5.1238 13 6 8.2906 -2.9389 3.8803 14 1 8.8190 -2.1114 3.4069 15 6 9.2720 -4.0464 4.2694 16 7 10.3428 -3.4816 5.1015 17 6 11.3058 -4.5186 5.4955 18 6 12.3873 -3.9030 6.3455 19 8 12.3589 -2.7169 6.5979 20 7 13.3866 -4.6701 6.8245 21 6 14.3707 -4.1099 7.5973 22 1 14.3450 -3.0540 7.8227 23 6 15.4007 -4.9009 8.0916 24 7 15.4317 -6.1858 7.8178 25 14 16.7458 -4.1362 9.1381 26 1 16.4856 -2.6825 9.2938 27 1 16.7599 -4.7821 10.4753 28 1 18.0608 -4.3362 8.4778 29 6 7.1989 -3.4907 2.9404 30 1 -0.3633 0.4512 0.9233 31 1 -0.3633 0.5739 -0.8525 32 1 -0.3633 -1.0253 -0.0708 33 1 3.0828 1.3432 -0.0708 34 1 1.5898 1.9163 -0.8525 35 1 1.7043 1.8724 0.9233 36 1 1.5090 -1.7407 1.1757 37 1 1.7975 -0.2248 2.0629 38 1 3.9909 0.0194 0.9324 39 1 3.7025 -1.4965 0.0453 40 1 5.9577 -1.7329 1.5015 41 1 5.4191 -1.8275 5.2361 42 1 6.4194 -0.8349 4.1298 43 1 7.2672 -3.2767 5.7835 44 1 8.0782 -1.6808 5.6568 45 1 9.7037 -4.4825 3.3684 46 1 8.7450 -4.8184 4.8301 47 1 9.9633 -3.0146 5.9114 48 1 11.7516 -4.9584 4.6033 49 1 10.7926 -5.2936 6.0648 50 1 13.4099 -5.6185 6.6218 51 1 16.1509 -6.7380 8.1624 52 1 7.4468 -3.2603 1.9043 53 1 7.1036 -4.5687 3.0711 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 ZINC001676950736.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 06:14:25 Heat of formation + Delta-G solvation = -83.869657 kcal Electronic energy + Delta-G solvation = -28558.394567 eV Core-core repulsion = 24464.088198 eV Total energy + Delta-G solvation = -4094.306369 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.75 seconds Orbital eigenvalues (eV) -40.40102 -38.79258 -38.14938 -37.63416 -35.43820 -33.98092 -33.50003 -31.82494 -31.21075 -29.77934 -28.51967 -28.07855 -26.55664 -25.34140 -24.30988 -22.89866 -22.00902 -20.68201 -20.59398 -20.07733 -19.16672 -17.87197 -17.64969 -16.70282 -16.37319 -16.27487 -15.61059 -15.48821 -15.26661 -15.19028 -14.89381 -14.54519 -14.39414 -14.10918 -13.78743 -13.64316 -13.54149 -13.32465 -13.06200 -12.87470 -12.81505 -12.38060 -12.19311 -12.16541 -12.05738 -11.94447 -11.67847 -11.52454 -11.47649 -11.40278 -11.14338 -11.05623 -10.93750 -10.71736 -10.61476 -10.33930 -10.21750 -10.12521 -9.51333 -9.33929 -8.89302 -8.44710 -8.03626 -7.94821 -6.41234 -3.81926 2.32392 2.77037 3.16712 3.27226 3.34598 3.54304 3.92021 4.07591 4.25206 4.28567 4.37486 4.49965 4.54270 4.64253 4.70651 4.73716 4.89474 5.03303 5.06699 5.08543 5.13116 5.18345 5.22634 5.24166 5.26863 5.37369 5.40067 5.41475 5.42526 5.44688 5.47843 5.51240 5.54412 5.69083 5.81293 5.86018 5.91028 5.96557 6.00763 6.10466 6.25531 6.28634 6.32980 6.47298 6.48584 7.16902 7.25298 7.55971 7.69746 7.91117 8.07446 8.62170 9.18731 9.55323 10.06841 10.76648 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.043332 B = 0.001306 C = 0.001293 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 646.022695 B =21433.518083 C =21652.686618 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.025 3.975 2 N -0.550 5.550 3 C 0.018 3.982 4 C 0.069 3.931 5 C -0.139 4.139 6 C 0.514 3.486 7 O -0.543 6.543 8 N -0.724 5.724 9 C 0.141 3.859 10 H 0.090 0.910 11 C -0.131 4.131 12 C -0.123 4.123 13 C -0.088 4.088 14 H 0.087 0.913 15 C 0.066 3.934 16 N -0.669 5.669 17 C 0.050 3.950 18 C 0.441 3.559 19 O -0.583 6.583 20 N -0.564 5.564 21 C -0.299 4.299 22 H 0.103 0.897 23 C 0.022 3.978 24 N -0.902 5.902 25 Si 0.929 3.071 26 H -0.268 1.268 27 H -0.282 1.282 28 H -0.281 1.281 29 C -0.124 4.124 30 H 0.027 0.973 31 H 0.069 0.931 32 H 0.070 0.930 33 H 0.070 0.930 34 H 0.069 0.931 35 H 0.027 0.973 36 H 0.083 0.917 37 H 0.043 0.957 38 H 0.093 0.907 39 H 0.102 0.898 40 H 0.401 0.599 41 H 0.068 0.932 42 H 0.069 0.931 43 H 0.067 0.933 44 H 0.076 0.924 45 H 0.070 0.930 46 H 0.027 0.973 47 H 0.349 0.651 48 H 0.085 0.915 49 H 0.042 0.958 50 H 0.392 0.608 51 H 0.271 0.729 52 H 0.072 0.928 53 H 0.076 0.924 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -26.290 7.444 -16.935 32.146 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 -0.124 4.124 2 N -0.274 5.274 3 C -0.130 4.130 4 C -0.059 4.059 5 C -0.179 4.179 6 C 0.300 3.700 7 O -0.420 6.420 8 N -0.376 5.376 9 C 0.036 3.964 10 H 0.108 0.892 11 C -0.170 4.170 12 C -0.161 4.161 13 C -0.107 4.107 14 H 0.105 0.895 15 C -0.064 4.064 16 N -0.301 5.301 17 C -0.083 4.083 18 C 0.226 3.774 19 O -0.468 6.468 20 N -0.201 5.201 21 C -0.428 4.428 22 H 0.121 0.879 23 C -0.179 4.179 24 N -0.544 5.544 25 Si 0.756 3.244 26 H -0.192 1.192 27 H -0.208 1.208 28 H -0.207 1.207 29 C -0.163 4.163 30 H 0.045 0.955 31 H 0.088 0.912 32 H 0.088 0.912 33 H 0.089 0.911 34 H 0.088 0.912 35 H 0.045 0.955 36 H 0.101 0.899 37 H 0.062 0.938 38 H 0.111 0.889 39 H 0.120 0.880 40 H 0.235 0.765 41 H 0.087 0.913 42 H 0.088 0.912 43 H 0.086 0.914 44 H 0.094 0.906 45 H 0.088 0.912 46 H 0.045 0.955 47 H 0.168 0.832 48 H 0.103 0.897 49 H 0.060 0.940 50 H 0.225 0.775 51 H 0.081 0.919 52 H 0.091 0.909 53 H 0.094 0.906 Dipole moment (debyes) X Y Z Total from point charges -26.181 7.808 -17.036 32.197 hybrid contribution 0.342 -0.312 1.426 1.499 sum -25.839 7.496 -15.610 31.105 Atomic orbital electron populations 1.22371 0.86851 1.02510 1.00617 1.61978 1.08278 1.14001 1.43186 1.22479 1.01043 0.88810 1.00705 1.21835 0.93462 0.99199 0.91406 1.21646 0.97066 1.01386 0.97820 1.20645 0.82171 0.79765 0.87453 1.90713 1.57492 1.53202 1.40561 1.46257 1.08638 1.56974 1.25737 1.21718 0.95446 0.93413 0.85814 0.89226 1.22749 0.97977 0.98998 0.97283 1.22582 0.95411 1.00815 0.97288 1.21984 0.94503 0.98506 0.95664 0.89469 1.22012 0.91624 0.95053 0.97702 1.60083 1.16000 1.28435 1.25627 1.21673 0.94173 0.93197 0.99230 1.19834 0.84780 0.87646 0.85112 1.90520 1.77957 1.15639 1.62638 1.41871 1.21906 1.10812 1.45511 1.19760 1.01380 0.96009 1.25695 0.87875 1.25258 0.98920 0.95304 0.98457 1.69621 1.33991 1.04812 1.45937 0.85806 0.80128 0.79353 0.79096 1.19209 1.20786 1.20742 1.22490 0.93305 1.00633 0.99862 0.95475 0.91218 0.91169 0.91087 0.91250 0.95454 0.89899 0.93840 0.88857 0.87971 0.76463 0.91288 0.91226 0.91390 0.90552 0.91153 0.95467 0.83165 0.89662 0.93962 0.77471 0.91942 0.90919 0.90552 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 0.02 0.14 9.57 60.06 0.57 0.71 16 2 N -0.55 -3.61 5.02 -251.25 -1.26 -4.87 16 3 C 0.02 0.09 9.32 60.07 0.56 0.65 16 4 C 0.07 0.51 4.25 -3.82 -0.02 0.49 16 5 C -0.14 -0.83 5.62 -27.88 -0.16 -0.98 16 6 C 0.51 4.47 7.82 -10.99 -0.09 4.38 16 7 O -0.54 -6.93 15.66 5.56 0.09 -6.84 16 8 N -0.72 -5.10 5.05 -52.62 -0.27 -5.37 16 9 C 0.14 1.18 3.23 -66.70 -0.22 0.97 16 10 H 0.09 0.90 7.61 -51.93 -0.39 0.51 16 11 C -0.13 -1.22 6.52 -25.07 -0.16 -1.38 16 12 C -0.12 -1.22 5.62 -24.74 -0.14 -1.35 16 13 C -0.09 -0.85 3.10 -88.96 -0.28 -1.12 16 14 H 0.09 0.92 8.14 -51.93 -0.42 0.50 16 15 C 0.07 0.77 5.03 -3.82 -0.02 0.75 16 16 N -0.67 -10.63 6.13 -115.05 -0.70 -11.34 16 17 C 0.05 0.88 6.17 -4.97 -0.03 0.85 16 18 C 0.44 10.47 7.82 -10.99 -0.09 10.38 16 19 O -0.58 -15.93 15.78 5.54 0.09 -15.84 16 20 N -0.56 -14.37 5.29 -10.96 -0.06 -14.43 16 21 C -0.30 -8.38 9.68 -14.93 -0.14 -8.52 16 22 H 0.10 3.04 7.16 -52.49 -0.38 2.66 16 23 C 0.02 0.59 5.50 -17.47 -0.10 0.50 16 24 N -0.90 -24.60 13.05 55.50 0.72 -23.87 16 25 Si 0.93 21.09 29.55 -169.99 -5.02 16.06 16 26 H -0.27 -6.08 7.11 56.52 0.40 -5.68 16 27 H -0.28 -6.29 7.11 56.52 0.40 -5.89 16 28 H -0.28 -6.29 7.11 56.52 0.40 -5.89 16 29 C -0.12 -0.94 6.15 -25.50 -0.16 -1.10 16 30 H 0.03 0.15 8.14 -51.93 -0.42 -0.27 16 31 H 0.07 0.31 8.12 -51.93 -0.42 -0.11 16 32 H 0.07 0.36 8.12 -51.93 -0.42 -0.06 16 33 H 0.07 0.31 6.47 -51.93 -0.34 -0.03 16 34 H 0.07 0.30 8.12 -51.93 -0.42 -0.12 16 35 H 0.03 0.15 8.14 -51.93 -0.42 -0.27 16 36 H 0.08 0.68 8.02 -51.93 -0.42 0.26 16 37 H 0.04 0.37 8.08 -51.93 -0.42 -0.05 16 38 H 0.09 0.43 6.55 -51.93 -0.34 0.09 16 39 H 0.10 0.50 8.14 -51.93 -0.42 0.07 16 40 H 0.40 1.82 8.29 -40.82 -0.34 1.48 16 41 H 0.07 0.70 8.14 -51.93 -0.42 0.28 16 42 H 0.07 0.64 8.05 -51.93 -0.42 0.22 16 43 H 0.07 0.68 8.00 -51.93 -0.42 0.26 16 44 H 0.08 0.83 8.02 -51.93 -0.42 0.41 16 45 H 0.07 0.79 8.14 -51.93 -0.42 0.37 16 46 H 0.03 0.30 8.06 -51.93 -0.42 -0.11 16 47 H 0.35 5.76 7.62 -39.29 -0.30 5.46 16 48 H 0.09 1.39 8.14 -51.93 -0.42 0.97 16 49 H 0.04 0.68 8.14 -51.93 -0.42 0.26 16 50 H 0.39 9.53 7.90 -40.82 -0.32 9.21 16 51 H 0.27 6.96 8.31 -40.82 -0.34 6.62 16 52 H 0.07 0.46 7.61 -51.93 -0.39 0.06 16 53 H 0.08 0.57 7.84 -51.93 -0.41 0.16 16 LS Contribution 425.31 15.07 6.41 6.41 Total: -1.00 -33.53 425.31 -9.95 -43.48 By element: Atomic # 1 Polarization: 20.88 SS G_CDS: -9.50 Total: 11.38 kcal Atomic # 6 Polarization: 5.67 SS G_CDS: -0.45 Total: 5.22 kcal Atomic # 7 Polarization: -58.31 SS G_CDS: -1.57 Total: -59.88 kcal Atomic # 8 Polarization: -22.85 SS G_CDS: 0.17 Total: -22.68 kcal Atomic # 14 Polarization: 21.09 SS G_CDS: -5.02 Total: 16.06 kcal Total LS contribution 6.41 Total: 6.41 kcal Total: -33.53 -9.95 -43.48 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. ZINC001676950736.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 -40.386 kcal (2) G-P(sol) polarization free energy of solvation -33.533 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -73.919 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.951 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.484 kcal (6) G-S(sol) free energy of system = (1) + (5) -83.870 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.75 seconds