Wall clock time and date at job start Sat Apr 11 2020 06:11:07 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 1.53002 * 1 3 3 C 1.53001 * 109.47353 * 2 1 4 4 N 1.46906 * 109.46990 * 120.00170 * 2 1 3 5 5 C 1.46901 * 110.99861 * 154.99719 * 4 2 1 6 6 C 1.52995 * 109.47286 * 180.02562 * 5 4 2 7 7 C 1.52990 * 109.47292 * 179.97438 * 6 5 4 8 8 N 1.46506 * 109.47303 * 180.02562 * 7 6 5 9 9 C 1.34771 * 119.99891 * 180.02562 * 8 7 6 10 10 O 1.21349 * 120.00280 * 359.97438 * 9 8 7 11 11 C 1.49457 * 119.99707 * 179.97438 * 9 8 7 12 12 O 1.21348 * 119.99849 * 353.51129 * 11 9 8 13 13 N 1.34768 * 120.00031 * 173.79261 * 11 9 8 14 14 C 1.47084 * 120.88232 * 180.83197 * 13 11 9 15 15 C 1.53699 * 108.27661 * 128.75318 * 14 13 11 16 16 N 1.46904 * 109.26040 * 54.08126 * 15 14 13 17 17 C 1.46891 * 111.00218 * 172.60792 * 16 15 14 18 18 C 1.50708 * 109.46997 * 294.30399 * 17 16 15 19 19 H 1.07996 * 120.00122 * 0.02562 * 18 17 16 20 20 C 1.37881 * 119.99837 * 179.97438 * 18 17 16 21 21 N 1.31519 * 120.00036 * 0.02562 * 20 18 17 22 22 Si 1.86794 * 119.99925 * 179.97438 * 20 18 17 23 23 H 1.48495 * 109.47352 * 0.02562 * 22 20 18 24 24 H 1.48503 * 109.46787 * 120.00193 * 22 20 18 25 25 H 1.48500 * 109.47509 * 240.00105 * 22 20 18 26 26 C 1.46896 * 111.26775 * 296.75960 * 16 15 14 27 27 C 1.47086 * 120.88250 * 1.10796 * 13 11 9 28 28 H 1.09006 * 109.46779 * 299.99836 * 1 2 3 29 29 H 1.08998 * 109.47239 * 59.99196 * 1 2 3 30 30 H 1.08991 * 109.47412 * 179.97438 * 1 2 3 31 31 H 1.08997 * 109.46700 * 239.99915 * 2 1 3 32 32 H 1.09001 * 109.46587 * 60.00189 * 3 2 1 33 33 H 1.09000 * 109.47040 * 179.97438 * 3 2 1 34 34 H 1.09003 * 109.47050 * 300.00143 * 3 2 1 35 35 H 1.00901 * 110.99491 * 31.04403 * 4 2 1 36 36 H 1.08997 * 109.46985 * 59.99384 * 5 4 2 37 37 H 1.09007 * 109.46699 * 300.00244 * 5 4 2 38 38 H 1.09006 * 109.47070 * 59.99674 * 6 5 4 39 39 H 1.09000 * 109.47150 * 300.00387 * 6 5 4 40 40 H 1.08997 * 109.47382 * 59.99645 * 7 6 5 41 41 H 1.09008 * 109.47224 * 299.99987 * 7 6 5 42 42 H 0.97000 * 119.99435 * 359.97438 * 8 7 6 43 43 H 1.08992 * 109.62696 * 248.51735 * 14 13 11 44 44 H 1.08999 * 109.62866 * 9.10511 * 14 13 11 45 45 H 1.09003 * 109.64530 * 294.08090 * 15 14 13 46 46 H 1.08997 * 109.42269 * 173.94875 * 15 14 13 47 47 H 1.08997 * 109.47187 * 54.30054 * 17 16 15 48 48 H 1.08995 * 109.47175 * 174.30436 * 17 16 15 49 49 H 0.96992 * 120.00172 * 179.97438 * 21 20 18 50 50 H 1.09003 * 109.49570 * 303.13917 * 26 16 15 51 51 H 1.09002 * 109.49595 * 183.06212 * 26 16 15 52 52 H 1.08997 * 109.62790 * 350.89766 * 27 13 11 53 53 H 1.08996 * 109.62728 * 111.47792 * 27 13 11 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 2.0401 1.4425 0.0000 4 7 2.0197 -0.6926 1.1995 5 6 3.3670 -1.2356 0.9807 6 6 3.8417 -1.9484 2.2485 7 6 5.2446 -2.5145 2.0204 8 7 5.6989 -3.1976 3.2342 9 6 6.9153 -3.7769 3.2662 10 8 7.6341 -3.7332 2.2894 11 6 7.3790 -4.4733 4.5046 12 8 6.7133 -4.4169 5.5177 13 7 8.5392 -5.1590 4.4979 14 6 9.0049 -5.8665 5.7003 15 6 9.3461 -7.3126 5.3069 16 7 10.2973 -7.2987 4.1876 17 6 10.7847 -8.6530 3.8940 18 6 11.5973 -9.1578 5.0585 19 1 11.7372 -8.5351 5.9297 20 6 12.1612 -10.4152 5.0121 21 7 11.9903 -11.1738 3.9514 22 14 13.1689 -11.0407 6.4552 23 1 13.2104 -10.0031 7.5167 24 1 12.5463 -12.2760 6.9952 25 1 14.5507 -11.3405 6.0012 26 6 9.7056 -6.6817 2.9930 27 6 9.3762 -5.2148 3.2897 28 1 -0.3633 0.5138 0.8901 29 1 -0.3633 0.5139 -0.8899 30 1 -0.3634 -1.0276 -0.0005 31 1 1.8933 -0.5138 -0.8900 32 1 1.6767 1.9562 0.8900 33 1 3.1301 1.4424 0.0005 34 1 1.6767 1.9563 -0.8900 35 1 1.3792 -1.4182 1.4847 36 1 4.0523 -0.4221 0.7424 37 1 3.3429 -1.9445 0.1530 38 1 3.1562 -2.7619 2.4862 39 1 3.8655 -1.2398 3.0764 40 1 5.9303 -1.7013 1.7824 41 1 5.2203 -3.2232 1.1925 42 1 5.1245 -3.2321 4.0150 43 1 9.8924 -5.3723 6.0952 44 1 8.2168 -5.8668 6.4533 45 1 8.4377 -7.8345 5.0057 46 1 9.7943 -7.8239 6.1588 47 1 9.9361 -9.3166 3.7283 48 1 11.4074 -8.6291 2.9997 49 1 12.3873 -12.0581 3.9186 50 1 8.7922 -7.2124 2.7240 51 1 10.4145 -6.7353 2.1668 52 1 8.8337 -4.7839 2.4483 53 1 10.2987 -4.6590 3.4575 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 ZINC000884690558.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 06:11:07 Heat of formation + Delta-G solvation = -51.935973 kcal Electronic energy + Delta-G solvation = -29303.441082 eV Core-core repulsion = 25210.519461 eV Total energy + Delta-G solvation = -4092.921620 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 2.10 seconds Orbital eigenvalues (eV) -40.93626 -38.92052 -38.08812 -37.59332 -36.04000 -34.39643 -33.19798 -32.37663 -30.75055 -30.06901 -28.47345 -27.76466 -26.25455 -25.27180 -23.83700 -22.83281 -22.10748 -21.72123 -21.00742 -20.64583 -19.35337 -17.57542 -17.08880 -16.76997 -16.35031 -16.24316 -16.08256 -15.66305 -15.21277 -14.97191 -14.75765 -14.70244 -14.47537 -14.29080 -13.98350 -13.75286 -13.49873 -13.22709 -13.06100 -12.90617 -12.80794 -12.61005 -12.40628 -12.10090 -12.01763 -11.86137 -11.65913 -11.52414 -11.43039 -11.25535 -11.21354 -10.96336 -10.81685 -10.72829 -10.56895 -10.56314 -9.90495 -9.55932 -9.35062 -8.98684 -8.97159 -8.58644 -8.45211 -7.30507 -6.05339 -4.07133 1.36007 2.23724 3.15849 3.29806 3.37216 3.37920 3.42080 3.61891 4.22696 4.34928 4.40563 4.45492 4.49601 4.58282 4.69845 4.82834 4.88676 4.99902 5.13258 5.16295 5.20335 5.30159 5.32966 5.34144 5.36271 5.39589 5.45229 5.57830 5.58574 5.63537 5.67074 5.70886 5.80549 5.81924 5.85142 5.93945 6.30129 6.35246 6.43345 6.49883 6.51995 6.59352 6.83829 6.88970 7.23907 7.29123 7.36399 7.66635 7.76157 7.95284 8.03242 8.13712 8.49429 9.00478 9.57471 11.05522 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.032658 B = 0.001548 C = 0.001524 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 857.163990 B =18086.765008 C =18374.178218 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.155 4.155 2 C 0.077 3.923 3 C -0.141 4.141 4 N -0.687 5.687 5 C 0.062 3.938 6 C -0.131 4.131 7 C 0.118 3.882 8 N -0.701 5.701 9 C 0.512 3.488 10 O -0.507 6.507 11 C 0.502 3.498 12 O -0.536 6.536 13 N -0.569 5.569 14 C 0.110 3.890 15 C 0.052 3.948 16 N -0.537 5.537 17 C 0.192 3.808 18 C -0.509 4.509 19 H 0.065 0.935 20 C 0.055 3.945 21 N -0.898 5.898 22 Si 0.898 3.102 23 H -0.272 1.272 24 H -0.285 1.285 25 H -0.284 1.284 26 C 0.042 3.958 27 C 0.059 3.941 28 H 0.065 0.935 29 H 0.063 0.937 30 H 0.054 0.946 31 H 0.044 0.956 32 H 0.062 0.938 33 H 0.053 0.947 34 H 0.055 0.945 35 H 0.342 0.658 36 H 0.077 0.923 37 H 0.034 0.966 38 H 0.071 0.929 39 H 0.082 0.918 40 H 0.075 0.925 41 H 0.073 0.927 42 H 0.414 0.586 43 H 0.080 0.920 44 H 0.090 0.910 45 H 0.025 0.975 46 H 0.099 0.901 47 H -0.009 1.009 48 H 0.032 0.968 49 H 0.261 0.739 50 H 0.024 0.976 51 H 0.082 0.918 52 H 0.148 0.852 53 H 0.074 0.926 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -21.011 22.409 -7.204 31.552 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 -0.213 4.213 2 C -0.032 4.032 3 C -0.199 4.199 4 N -0.320 5.320 5 C -0.068 4.068 6 C -0.170 4.170 7 C -0.006 4.006 8 N -0.354 5.354 9 C 0.294 3.706 10 O -0.384 6.384 11 C 0.284 3.716 12 O -0.414 6.414 13 N -0.301 5.301 14 C -0.012 4.012 15 C -0.077 4.077 16 N -0.262 5.262 17 C 0.068 3.932 18 C -0.547 4.547 19 H 0.083 0.917 20 C -0.146 4.146 21 N -0.537 5.537 22 Si 0.726 3.274 23 H -0.196 1.196 24 H -0.211 1.211 25 H -0.210 1.210 26 C -0.087 4.087 27 C -0.062 4.062 28 H 0.084 0.916 29 H 0.082 0.918 30 H 0.073 0.927 31 H 0.062 0.938 32 H 0.081 0.919 33 H 0.072 0.928 34 H 0.074 0.926 35 H 0.160 0.840 36 H 0.095 0.905 37 H 0.053 0.947 38 H 0.090 0.910 39 H 0.101 0.899 40 H 0.093 0.907 41 H 0.092 0.908 42 H 0.250 0.750 43 H 0.098 0.902 44 H 0.108 0.892 45 H 0.043 0.957 46 H 0.117 0.883 47 H 0.009 0.991 48 H 0.050 0.950 49 H 0.070 0.930 50 H 0.042 0.958 51 H 0.100 0.900 52 H 0.164 0.836 53 H 0.092 0.908 Dipole moment (debyes) X Y Z Total from point charges -20.162 23.148 -7.022 31.490 hybrid contribution -0.416 -1.903 0.204 1.958 sum -20.578 21.246 -6.818 30.353 Atomic orbital electron populations 1.21981 0.94570 1.01995 1.02751 1.21522 0.94878 0.95684 0.91163 1.21804 1.01126 0.95191 1.01776 1.60511 1.03629 1.33206 1.34629 1.21877 0.91079 0.97965 0.95856 1.21764 0.95154 1.00644 0.99389 1.21411 0.95272 0.97003 0.86893 1.45767 1.17229 1.54877 1.17546 1.20354 0.82144 0.79577 0.88486 1.90381 1.53142 1.58051 1.36852 1.19868 0.82363 0.81104 0.88308 1.90730 1.55378 1.61732 1.33581 1.48192 1.19479 1.47399 1.14987 1.22159 0.99880 0.92931 0.86237 1.22410 0.94503 0.93504 0.97259 1.62113 1.34769 1.25033 1.04331 1.19736 0.94349 0.81468 0.97684 1.21191 1.31403 0.99711 1.02429 0.91730 1.24996 0.96617 0.96773 0.96206 1.69968 1.45216 1.10128 1.28426 0.86439 0.79856 0.78672 0.82437 1.19609 1.21140 1.21008 1.22415 0.97923 0.93652 0.94749 1.23383 0.96084 0.98099 0.88625 0.91634 0.91826 0.92736 0.93826 0.91937 0.92758 0.92593 0.83987 0.90463 0.94741 0.91043 0.89946 0.90651 0.90847 0.75002 0.90210 0.89163 0.95695 0.88286 0.99129 0.94971 0.92952 0.95781 0.89965 0.83557 0.90805 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 -0.16 -0.63 9.18 37.16 0.34 -0.29 16 2 C 0.08 0.39 3.22 -67.71 -0.22 0.17 16 3 C -0.14 -0.72 9.42 37.16 0.35 -0.37 16 4 N -0.69 -3.70 6.31 -106.72 -0.67 -4.37 16 5 C 0.06 0.32 5.48 -3.83 -0.02 0.30 16 6 C -0.13 -0.68 5.59 -26.74 -0.15 -0.83 16 7 C 0.12 0.85 5.67 -4.04 -0.02 0.83 16 8 N -0.70 -6.63 5.55 -60.73 -0.34 -6.96 16 9 C 0.51 6.60 7.81 -11.58 -0.09 6.51 16 10 O -0.51 -7.25 13.03 5.50 0.07 -7.18 16 11 C 0.50 7.56 7.77 -11.59 -0.09 7.47 16 12 O -0.54 -8.75 15.95 5.50 0.09 -8.66 16 13 N -0.57 -9.09 3.00 -172.68 -0.52 -9.61 16 14 C 0.11 1.80 6.63 -3.36 -0.02 1.78 16 15 C 0.05 1.01 5.47 -3.46 -0.02 1.00 16 16 N -0.54 -11.49 4.62 -235.46 -1.09 -12.58 16 17 C 0.19 4.98 4.72 -4.98 -0.02 4.95 16 18 C -0.51 -14.07 8.41 -34.44 -0.29 -14.36 16 19 H 0.06 1.76 7.13 -52.49 -0.37 1.38 16 20 C 0.06 1.56 5.46 -17.82 -0.10 1.46 16 21 N -0.90 -26.53 13.29 55.43 0.74 -25.80 16 22 Si 0.90 21.45 29.54 -169.99 -5.02 16.43 16 23 H -0.27 -6.34 7.11 56.52 0.40 -5.94 16 24 H -0.29 -6.76 7.11 56.52 0.40 -6.36 16 25 H -0.28 -6.75 7.11 56.52 0.40 -6.35 16 26 C 0.04 0.77 5.62 -3.70 -0.02 0.75 16 27 C 0.06 0.93 6.35 -3.60 -0.02 0.91 16 28 H 0.06 0.29 8.14 -51.93 -0.42 -0.13 16 29 H 0.06 0.22 8.14 -51.93 -0.42 -0.20 16 30 H 0.05 0.20 8.12 -51.93 -0.42 -0.22 16 31 H 0.04 0.23 7.80 -51.93 -0.40 -0.17 16 32 H 0.06 0.35 8.14 -51.93 -0.42 -0.07 16 33 H 0.05 0.30 7.45 -51.93 -0.39 -0.09 16 34 H 0.06 0.24 8.14 -51.93 -0.42 -0.18 16 35 H 0.34 1.57 8.35 -39.29 -0.33 1.24 16 36 H 0.08 0.43 7.43 -51.93 -0.39 0.04 16 37 H 0.03 0.18 8.06 -51.92 -0.42 -0.24 16 38 H 0.07 0.34 8.14 -51.93 -0.42 -0.08 16 39 H 0.08 0.46 8.14 -51.93 -0.42 0.04 16 40 H 0.08 0.56 8.14 -51.93 -0.42 0.14 16 41 H 0.07 0.56 8.14 -51.92 -0.42 0.13 16 42 H 0.41 3.47 7.96 -40.82 -0.32 3.15 16 43 H 0.08 1.27 8.14 -51.93 -0.42 0.84 16 44 H 0.09 1.41 7.07 -51.93 -0.37 1.05 16 45 H 0.02 0.50 8.14 -51.93 -0.42 0.08 16 46 H 0.10 2.02 6.67 -51.93 -0.35 1.67 16 47 H -0.01 -0.25 8.12 -51.93 -0.42 -0.68 16 48 H 0.03 0.89 7.97 -51.93 -0.41 0.47 16 49 H 0.26 7.28 8.31 -40.82 -0.34 6.94 16 50 H 0.02 0.45 8.14 -51.93 -0.42 0.03 16 51 H 0.08 1.46 7.99 -51.93 -0.41 1.04 16 52 H 0.15 2.23 3.93 -56.51 -0.22 2.01 16 53 H 0.07 1.15 8.14 -51.93 -0.42 0.73 16 LS Contribution 419.46 15.07 6.32 6.32 Total: -1.00 -31.62 419.46 -10.26 -41.87 By element: Atomic # 1 Polarization: 9.71 SS G_CDS: -9.44 Total: 0.27 kcal Atomic # 6 Polarization: 10.66 SS G_CDS: -0.40 Total: 10.26 kcal Atomic # 7 Polarization: -57.44 SS G_CDS: -1.88 Total: -59.32 kcal Atomic # 8 Polarization: -15.99 SS G_CDS: 0.16 Total: -15.84 kcal Atomic # 14 Polarization: 21.45 SS G_CDS: -5.02 Total: 16.43 kcal Total LS contribution 6.32 Total: 6.32 kcal Total: -31.62 -10.26 -41.87 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. ZINC000884690558.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 -10.065 kcal (2) G-P(sol) polarization free energy of solvation -31.615 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -41.681 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.255 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.871 kcal (6) G-S(sol) free energy of system = (1) + (5) -51.936 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 2.10 seconds