Wall clock time and date at job start Tue Mar 31 2020 04:56:01 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 1.53001 * 1 3 3 C 1.53002 * 109.46855 * 2 1 4 4 N 1.46900 * 109.46888 * 180.02562 * 3 2 1 5 5 C 1.46845 * 110.99958 * 169.99899 * 4 3 2 6 6 C 1.53034 * 109.52501 * 185.84210 * 5 4 3 7 7 C 1.53124 * 109.27822 * 300.81683 * 6 5 4 8 8 N 1.46494 * 109.52334 * 177.55822 * 7 6 5 9 9 C 1.34784 * 119.99635 * 155.00290 * 8 7 6 10 10 O 1.21588 * 119.99884 * 0.02562 * 9 8 7 11 11 N 1.34777 * 119.99908 * 179.97438 * 9 8 7 12 12 C 1.40195 * 120.00050 * 179.97438 * 11 9 8 13 13 C 1.40398 * 125.97172 * 359.71438 * 12 11 9 14 14 C 1.35245 * 107.86766 * 179.82779 * 13 12 11 15 15 C 1.50695 * 126.07052 * 180.15909 * 14 13 12 16 16 N 1.34961 * 107.85825 * 0.43551 * 14 13 12 17 17 C 1.46501 * 125.97901 * 179.70527 * 16 14 13 18 18 C 1.50697 * 109.47048 * 270.00096 * 17 16 14 19 19 H 1.08004 * 120.00078 * 359.97438 * 18 17 16 20 20 C 1.37877 * 119.99946 * 179.97438 * 18 17 16 21 21 N 1.31512 * 119.99744 * 0.02562 * 20 18 17 22 22 Si 1.86801 * 119.99920 * 179.97438 * 20 18 17 23 23 H 1.48498 * 109.47113 * 0.02562 * 22 20 18 24 24 H 1.48501 * 109.46589 * 120.00176 * 22 20 18 25 25 H 1.48501 * 109.47379 * 239.99950 * 22 20 18 26 26 N 1.31211 * 125.97292 * 180.02562 * 12 11 9 27 27 C 1.53126 * 109.15821 * 57.65312 * 7 6 5 28 28 C 1.46840 * 111.00185 * 294.20989 * 4 3 2 29 29 H 1.09006 * 109.47229 * 180.02562 * 1 2 3 30 30 H 1.09000 * 109.46751 * 299.99970 * 1 2 3 31 31 H 1.09001 * 109.47181 * 60.00187 * 1 2 3 32 32 H 1.08996 * 109.47169 * 239.99804 * 2 1 3 33 33 H 1.09001 * 109.47181 * 119.99813 * 2 1 3 34 34 H 1.08996 * 109.47392 * 59.99941 * 3 2 1 35 35 H 1.09001 * 109.47074 * 299.99879 * 3 2 1 36 36 H 1.08997 * 109.46769 * 65.82325 * 5 4 3 37 37 H 1.09001 * 109.45250 * 305.84633 * 5 4 3 38 38 H 1.08997 * 109.50499 * 180.87819 * 6 5 4 39 39 H 1.09004 * 109.50581 * 60.75864 * 6 5 4 40 40 H 1.08995 * 109.52256 * 297.69100 * 7 6 5 41 41 H 0.96995 * 120.00292 * 335.27722 * 8 7 6 42 42 H 0.96999 * 120.00047 * 0.02562 * 11 9 8 43 43 H 1.08004 * 126.06846 * 0.02562 * 13 12 11 44 44 H 1.08998 * 109.47563 * 270.32309 * 15 14 13 45 45 H 1.09003 * 109.47495 * 30.32369 * 15 14 13 46 46 H 1.09004 * 109.47467 * 150.32526 * 15 14 13 47 47 H 1.09000 * 109.46835 * 30.00064 * 17 16 14 48 48 H 1.09000 * 109.46871 * 149.99844 * 17 16 14 49 49 H 0.97010 * 119.99582 * 180.02562 * 21 20 18 50 50 H 1.09005 * 109.50103 * 62.28671 * 27 7 6 51 51 H 1.08997 * 109.50342 * 182.40107 * 27 7 6 52 52 H 1.09003 * 109.46045 * 294.17795 * 28 4 3 53 53 H 1.08992 * 109.46716 * 54.15440 * 28 4 3 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 2.0399 1.4425 0.0000 4 7 3.5090 1.4426 -0.0006 5 6 4.0351 2.7927 -0.2387 6 6 5.5579 2.7311 -0.3776 7 6 6.1592 2.1475 0.9040 8 7 7.6119 2.0319 0.7547 9 6 8.4038 2.0358 1.8454 10 8 7.9124 2.1349 2.9531 11 7 9.7403 1.9289 1.7081 12 6 10.5641 1.9335 2.8424 13 6 10.1336 2.0482 4.1738 14 6 11.2271 2.0072 4.9686 15 6 11.2343 2.0934 6.4730 16 7 12.3113 1.8816 4.1746 17 6 13.7034 1.8054 4.6246 18 6 14.2846 3.1939 4.6970 19 1 13.6778 4.0478 4.4338 20 6 15.5909 3.3743 5.0994 21 7 16.3299 2.3346 5.4194 22 14 16.3116 5.0954 5.1885 23 1 15.2825 6.0848 4.7795 24 1 16.7448 5.3791 6.5803 25 1 17.4802 5.1906 4.2772 26 7 11.8727 1.8373 2.8451 27 6 5.5586 0.7615 1.1551 28 6 4.0358 0.8802 1.2494 29 1 -0.3634 -1.0277 0.0005 30 1 -0.3633 0.5138 0.8900 31 1 -0.3633 0.5138 -0.8900 32 1 1.8933 -0.5138 -0.8899 33 1 1.8934 -0.5138 0.8900 34 1 1.6766 1.9564 0.8899 35 1 1.6766 1.9563 -0.8900 36 1 3.7727 3.4379 0.5997 37 1 3.6029 3.1943 -1.1552 38 1 5.9495 3.7354 -0.5388 39 1 5.8208 2.0971 -1.2244 40 1 5.9303 2.8023 1.7448 41 1 8.0041 1.9564 -0.1292 42 1 10.1323 1.8495 0.8244 43 1 9.1104 2.1479 4.5049 44 1 11.3114 3.1373 6.7769 45 1 10.3108 1.6679 6.8658 46 1 12.0860 1.5371 6.8648 47 1 13.7415 1.3437 5.6112 48 1 14.2805 1.2062 3.9204 49 1 17.2489 2.4616 5.7029 50 1 5.8215 0.0965 0.3324 51 1 5.9508 0.3587 2.0889 52 1 3.7733 1.5343 2.0809 53 1 3.6042 -0.1070 1.4138 RHF calculation, no. of doubly occupied orbitals= 67 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 ZINC000095454837.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 04:56:01 Heat of formation + Delta-G solvation = 40.837863 kcal Electronic energy + Delta-G solvation = -30362.524476 eV Core-core repulsion = 26270.429831 eV Total energy + Delta-G solvation = -4092.094645 eV No. of doubly occupied orbitals = 67 Molecular weight (most abundant/longest-lived isotopes) = 349.222 amu Computer time = 1.14 seconds Orbital eigenvalues (eV) -40.79833 -40.03467 -39.00793 -36.06737 -34.68862 -33.85186 -33.30105 -31.60039 -31.21899 -31.00287 -30.43641 -26.79095 -26.34053 -26.11356 -23.87707 -23.61459 -22.83257 -21.47995 -21.16413 -20.43393 -19.72070 -19.48382 -17.70211 -16.83937 -16.65721 -16.14902 -15.90273 -15.57793 -15.32462 -15.08549 -14.93204 -14.57055 -14.34005 -14.16293 -14.07433 -13.87460 -13.74544 -13.13001 -12.98768 -12.71488 -12.54565 -12.46232 -12.25160 -12.22531 -12.06456 -11.69558 -11.67223 -11.56505 -11.41847 -11.36560 -11.21240 -11.07213 -10.83323 -10.83096 -10.75199 -10.39073 -10.23452 -9.96936 -9.62503 -9.49604 -9.16591 -8.71101 -8.63153 -7.87789 -7.36863 -6.23837 -4.31154 2.40955 2.68730 3.13404 3.21118 3.28995 3.35029 3.45710 3.62659 3.87180 4.25673 4.32893 4.37980 4.44930 4.61960 4.62562 4.74537 4.88961 4.92236 5.02678 5.09934 5.10642 5.17702 5.22087 5.27522 5.33897 5.37052 5.45159 5.48355 5.60929 5.61378 5.73371 5.74057 5.76318 5.85415 5.86494 5.95836 6.03386 6.14469 6.25261 6.36232 6.49303 6.64965 6.65710 6.69715 6.71526 6.97771 7.08363 7.18517 7.56536 7.69442 7.91254 7.99622 8.10410 8.64173 8.70907 8.78832 9.35097 10.83348 Molecular weight = 349.22amu Principal moments of inertia in cm(-1) A = 0.028469 B = 0.001639 C = 0.001604 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 983.297152 B =17076.205512 C =17456.183230 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.152 4.152 2 C -0.123 4.123 3 C 0.055 3.945 4 N -0.540 5.540 5 C 0.060 3.940 6 C -0.124 4.124 7 C 0.166 3.834 8 N -0.740 5.740 9 C 0.713 3.287 10 O -0.567 6.567 11 N -0.644 5.644 12 C 0.283 3.717 13 C -0.289 4.289 14 C 0.090 3.910 15 C -0.083 4.083 16 N -0.319 5.319 17 C 0.258 3.742 18 C -0.534 4.534 19 H 0.065 0.935 20 C 0.065 3.935 21 N -0.892 5.892 22 Si 0.905 3.095 23 H -0.272 1.272 24 H -0.281 1.281 25 H -0.281 1.281 26 N -0.325 5.325 27 C -0.128 4.128 28 C 0.056 3.944 29 H 0.056 0.944 30 H 0.052 0.948 31 H 0.054 0.946 32 H 0.070 0.930 33 H 0.063 0.937 34 H 0.033 0.967 35 H 0.073 0.927 36 H 0.037 0.963 37 H 0.079 0.921 38 H 0.075 0.925 39 H 0.078 0.922 40 H 0.087 0.913 41 H 0.396 0.604 42 H 0.406 0.594 43 H 0.160 0.840 44 H 0.077 0.923 45 H 0.072 0.928 46 H 0.072 0.928 47 H 0.054 0.946 48 H 0.051 0.949 49 H 0.267 0.733 50 H 0.072 0.928 51 H 0.076 0.924 52 H 0.036 0.964 53 H 0.080 0.920 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -28.020 -2.863 -11.500 30.423 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 -0.210 4.210 2 C -0.160 4.160 3 C -0.073 4.073 4 N -0.265 5.265 5 C -0.068 4.068 6 C -0.162 4.162 7 C 0.060 3.940 8 N -0.396 5.396 9 C 0.412 3.588 10 O -0.442 6.442 11 N -0.294 5.294 12 C 0.029 3.971 13 C -0.320 4.320 14 C -0.041 4.041 15 C -0.142 4.142 16 N -0.101 5.101 17 C 0.141 3.859 18 C -0.573 4.573 19 H 0.083 0.917 20 C -0.138 4.138 21 N -0.530 5.530 22 Si 0.733 3.267 23 H -0.196 1.196 24 H -0.207 1.207 25 H -0.207 1.207 26 N -0.155 5.155 27 C -0.167 4.167 28 C -0.072 4.072 29 H 0.075 0.925 30 H 0.071 0.929 31 H 0.073 0.927 32 H 0.089 0.911 33 H 0.081 0.919 34 H 0.051 0.949 35 H 0.092 0.908 36 H 0.055 0.945 37 H 0.097 0.903 38 H 0.093 0.907 39 H 0.096 0.904 40 H 0.105 0.895 41 H 0.230 0.770 42 H 0.240 0.760 43 H 0.177 0.823 44 H 0.095 0.905 45 H 0.091 0.909 46 H 0.091 0.909 47 H 0.072 0.928 48 H 0.069 0.931 49 H 0.077 0.923 50 H 0.091 0.909 51 H 0.095 0.905 52 H 0.054 0.946 53 H 0.098 0.902 Dipole moment (debyes) X Y Z Total from point charges -26.963 -3.245 -11.476 29.483 hybrid contribution 0.078 1.424 0.184 1.437 sum -26.885 -1.822 -11.292 29.217 Atomic orbital electron populations 1.21742 0.95646 1.01835 1.01735 1.21555 0.95342 0.96345 1.02794 1.22139 0.86971 0.97378 1.00793 1.61978 1.07318 1.21813 1.35422 1.22000 0.94534 0.89241 1.01042 1.21874 0.94833 1.01764 0.97743 1.20839 0.77631 0.96967 0.98535 1.45104 1.06547 1.80174 1.07747 1.15651 0.80321 0.77953 0.84831 1.90863 1.73643 1.56067 1.23611 1.41411 1.04138 1.76069 1.07789 1.18664 0.89236 1.02550 0.86646 1.21225 0.99919 1.21041 0.89823 1.21051 0.87287 1.00875 0.94897 1.20324 1.02692 1.03158 0.87995 1.48948 1.07882 1.52195 1.01060 1.19674 0.71382 0.98923 0.95941 1.21372 0.97437 0.92017 1.46445 0.91713 1.24924 0.96430 0.97802 0.94644 1.69933 1.08889 1.29596 1.44597 0.86311 0.79046 0.83569 0.77818 1.19600 1.20654 1.20678 1.77248 1.08240 1.30027 1.00006 1.22020 0.94054 0.97512 1.03117 1.22110 0.95080 1.00204 0.89834 0.92505 0.92867 0.92700 0.91108 0.91867 0.94863 0.90821 0.94509 0.90271 0.90656 0.90373 0.89503 0.77002 0.75980 0.82269 0.90484 0.90866 0.90908 0.92822 0.93052 0.92347 0.90908 0.90547 0.94562 0.90166 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 -0.15 -0.71 9.91 37.16 0.37 -0.34 16 2 C -0.12 -0.69 5.86 -26.73 -0.16 -0.85 16 3 C 0.05 0.34 4.96 -3.82 -0.02 0.32 16 4 N -0.54 -3.88 4.66 -234.68 -1.09 -4.97 16 5 C 0.06 0.39 5.46 -3.84 -0.02 0.37 16 6 C -0.12 -0.83 5.57 -26.65 -0.15 -0.97 16 7 C 0.17 1.52 2.52 -67.80 -0.17 1.35 16 8 N -0.74 -7.46 5.09 -58.55 -0.30 -7.76 16 9 C 0.71 10.58 8.50 -86.91 -0.74 9.85 16 10 O -0.57 -10.33 13.13 5.29 0.07 -10.26 16 11 N -0.64 -10.18 5.46 -15.51 -0.08 -10.26 16 12 C 0.28 5.86 8.11 -154.36 -1.25 4.61 16 13 C -0.29 -6.09 9.52 -39.84 -0.38 -6.47 16 14 C 0.09 1.94 6.92 -82.28 -0.57 1.37 16 15 C -0.08 -1.46 10.11 36.00 0.36 -1.09 16 16 N -0.32 -7.67 3.59 -58.33 -0.21 -7.88 16 17 C 0.26 6.71 5.99 -5.19 -0.03 6.67 16 18 C -0.53 -14.86 9.39 -34.44 -0.32 -15.18 16 19 H 0.06 1.87 7.81 -52.48 -0.41 1.46 16 20 C 0.07 1.79 5.46 -17.82 -0.10 1.69 16 21 N -0.89 -25.19 13.29 55.43 0.74 -24.46 16 22 Si 0.91 21.24 29.54 -169.99 -5.02 16.22 16 23 H -0.27 -6.39 7.11 56.52 0.40 -5.99 16 24 H -0.28 -6.43 7.11 56.52 0.40 -6.03 16 25 H -0.28 -6.53 7.11 56.52 0.40 -6.12 16 26 N -0.32 -7.60 12.59 31.44 0.40 -7.21 16 27 C -0.13 -1.16 5.67 -26.65 -0.15 -1.31 16 28 C 0.06 0.44 5.29 -3.84 -0.02 0.42 16 29 H 0.06 0.25 8.14 -51.93 -0.42 -0.17 16 30 H 0.05 0.25 8.14 -51.93 -0.42 -0.18 16 31 H 0.05 0.24 8.14 -51.93 -0.42 -0.19 16 32 H 0.07 0.44 8.14 -51.93 -0.42 0.01 16 33 H 0.06 0.38 6.43 -51.93 -0.33 0.05 16 34 H 0.03 0.21 8.12 -51.93 -0.42 -0.21 16 35 H 0.07 0.40 7.99 -51.93 -0.41 -0.01 16 36 H 0.04 0.26 8.14 -51.93 -0.42 -0.17 16 37 H 0.08 0.43 8.01 -51.93 -0.42 0.02 16 38 H 0.07 0.47 8.14 -51.93 -0.42 0.04 16 39 H 0.08 0.49 8.14 -51.93 -0.42 0.07 16 40 H 0.09 0.99 7.58 -51.93 -0.39 0.60 16 41 H 0.40 2.87 8.62 -40.82 -0.35 2.52 16 42 H 0.41 5.12 8.84 -40.82 -0.36 4.76 16 43 H 0.16 3.30 5.91 -52.48 -0.31 2.99 16 44 H 0.08 1.30 8.14 -51.93 -0.42 0.88 16 45 H 0.07 1.06 8.14 -51.93 -0.42 0.64 16 46 H 0.07 1.27 7.07 -51.93 -0.37 0.91 16 47 H 0.05 1.37 7.04 -51.93 -0.37 1.01 16 48 H 0.05 1.42 8.14 -51.93 -0.42 0.99 16 49 H 0.27 7.08 8.31 -40.82 -0.34 6.74 16 50 H 0.07 0.65 8.14 -51.93 -0.42 0.23 16 51 H 0.08 0.85 8.14 -51.93 -0.42 0.43 16 52 H 0.04 0.31 8.14 -51.93 -0.42 -0.11 16 53 H 0.08 0.59 6.21 -51.93 -0.32 0.27 16 LS Contribution 421.69 15.07 6.35 6.35 Total: -1.00 -32.77 421.69 -11.59 -44.37 By element: Atomic # 1 Polarization: 14.52 SS G_CDS: -9.10 Total: 5.43 kcal Atomic # 6 Polarization: 3.78 SS G_CDS: -3.35 Total: 0.43 kcal Atomic # 7 Polarization: -61.98 SS G_CDS: -0.55 Total: -62.54 kcal Atomic # 8 Polarization: -10.33 SS G_CDS: 0.07 Total: -10.26 kcal Atomic # 14 Polarization: 21.24 SS G_CDS: -5.02 Total: 16.22 kcal Total LS contribution 6.35 Total: 6.35 kcal Total: -32.77 -11.59 -44.37 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. ZINC000095454837.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 85.203 kcal (2) G-P(sol) polarization free energy of solvation -32.771 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 52.432 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -11.595 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.365 kcal (6) G-S(sol) free energy of system = (1) + (5) 40.838 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.14 seconds