Wall clock time and date at job start Sat Apr 11 2020 06:12:12 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 C 1.52996 * 109.47229 * 2 1 4 4 C 1.52996 * 109.47137 * 239.99333 * 2 1 3 5 5 O 1.45204 * 109.46505 * 119.99655 * 2 1 3 6 6 C 1.34634 * 117.00097 * 60.00498 * 5 2 1 7 7 O 1.21506 * 120.00237 * 359.97438 * 6 5 2 8 8 N 1.34778 * 119.99728 * 179.97438 * 6 5 2 9 9 C 1.47584 * 134.48899 * 179.97438 * 8 6 5 10 10 C 1.53947 * 86.11211 * 155.36352 * 9 8 6 11 11 C 1.53004 * 113.74123 * 137.95696 * 10 9 8 12 12 C 1.52999 * 109.47311 * 176.92264 * 11 10 9 13 13 O 1.42901 * 109.46930 * 179.97438 * 12 11 10 14 14 C 1.42904 * 113.99749 * 179.97438 * 13 12 11 15 15 C 1.53514 * 114.17059 * 210.00163 * 14 13 12 16 16 N 1.47483 * 87.92777 * 220.13896 * 15 14 13 17 17 C 1.46903 * 110.99717 * 138.70421 * 16 15 14 18 18 C 1.50694 * 109.47066 * 169.99804 * 17 16 15 19 19 H 1.08000 * 120.00563 * 359.97438 * 18 17 16 20 20 C 1.37885 * 119.99902 * 180.02562 * 18 17 16 21 21 N 1.31516 * 119.99913 * 359.97438 * 20 18 17 22 22 Si 1.86798 * 119.99766 * 179.97438 * 20 18 17 23 23 H 1.48506 * 109.46985 * 179.97438 * 22 20 18 24 24 H 1.48494 * 109.47276 * 299.99832 * 22 20 18 25 25 H 1.48498 * 109.47150 * 60.00043 * 22 20 18 26 26 C 1.47480 * 87.83900 * 27.00973 * 16 15 14 27 27 C 1.47811 * 134.45878 * 359.87012 * 8 6 5 28 28 H 1.09000 * 109.47343 * 300.00588 * 1 2 3 29 29 H 1.09004 * 109.46485 * 60.00250 * 1 2 3 30 30 H 1.09000 * 109.46941 * 180.02562 * 1 2 3 31 31 H 1.08999 * 109.47221 * 179.97438 * 3 2 1 32 32 H 1.09004 * 109.47183 * 299.99323 * 3 2 1 33 33 H 1.09000 * 109.47438 * 59.99470 * 3 2 1 34 34 H 1.09000 * 109.47697 * 300.00140 * 4 2 1 35 35 H 1.09004 * 109.47093 * 60.00789 * 4 2 1 36 36 H 1.09006 * 109.46986 * 180.02562 * 4 2 1 37 37 H 1.08993 * 113.76833 * 41.06417 * 9 8 6 38 38 H 1.09000 * 113.77183 * 269.66148 * 9 8 6 39 39 H 1.09005 * 113.74026 * 269.14994 * 10 9 8 40 40 H 1.09005 * 109.47217 * 56.91856 * 11 10 9 41 41 H 1.08998 * 109.46717 * 296.92198 * 11 10 9 42 42 H 1.08997 * 109.47047 * 59.99714 * 12 11 10 43 43 H 1.08998 * 109.47176 * 299.99653 * 12 11 10 44 44 H 1.09002 * 113.25611 * 342.95779 * 14 13 12 45 45 H 1.09000 * 113.47331 * 105.37574 * 15 14 13 46 46 H 1.08997 * 113.47627 * 334.90698 * 15 14 13 47 47 H 1.09007 * 109.47052 * 49.99488 * 17 16 15 48 48 H 1.09003 * 109.46808 * 290.00181 * 17 16 15 49 49 H 0.97001 * 119.99646 * 179.97438 * 21 20 18 50 50 H 1.09004 * 113.47132 * 87.75237 * 26 16 15 51 51 H 1.09000 * 113.47538 * 218.21976 * 26 16 15 52 52 H 1.08996 * 113.77401 * 90.37672 * 27 8 6 53 53 H 1.09005 * 113.83290 * 318.90913 * 27 8 6 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 6 2.0400 -0.7214 -1.2491 5 8 2.0139 -0.6845 1.1857 6 6 1.6522 -1.9723 1.3385 7 8 0.9509 -2.5095 0.5041 8 7 2.0679 -2.6656 2.4169 9 6 1.8724 -4.0476 2.8963 10 6 3.1941 -3.8573 3.6624 11 6 3.1697 -4.4246 5.0832 12 6 4.5479 -4.2524 5.7249 13 8 4.5248 -4.7817 7.0521 14 6 5.7704 -4.6707 7.7437 15 6 6.0189 -5.7821 8.7732 16 7 6.5857 -4.7544 9.6663 17 6 6.1490 -4.9635 11.0532 18 6 6.9320 -4.0577 11.9684 19 1 7.6796 -3.3935 11.5606 20 6 6.6947 -4.0777 13.3265 21 7 5.7846 -4.8869 13.8231 22 14 7.6657 -2.9554 14.4609 23 1 7.2242 -3.1667 15.8629 24 1 9.1131 -3.2667 14.3450 25 1 7.4314 -1.5403 14.0765 26 6 5.7268 -3.7681 8.9847 27 6 2.9043 -2.3469 3.5932 28 1 -0.3634 0.5139 0.8899 29 1 -0.3632 0.5138 -0.8901 30 1 -0.3633 -1.0277 0.0005 31 1 3.1300 1.4425 0.0005 32 1 1.6768 1.9563 -0.8901 33 1 1.6767 1.9564 0.8899 34 1 1.6767 -1.7490 -1.2491 35 1 1.6768 -0.2075 -2.1392 36 1 3.1301 -0.7218 -1.2489 37 1 1.9259 -4.7979 2.1075 38 1 1.0034 -4.1696 3.5429 39 1 4.0759 -4.1617 3.0985 40 1 2.9154 -5.4839 5.0472 41 1 2.4246 -3.8920 5.6742 42 1 4.8021 -3.1931 5.7609 43 1 5.2929 -4.7850 5.1339 44 1 6.6147 -4.4786 7.0817 45 1 6.7485 -6.5225 8.4451 46 1 5.1030 -6.2325 9.1556 47 1 6.3210 -6.0022 11.3357 48 1 5.0865 -4.7352 11.1379 49 1 5.6180 -4.9012 14.7786 50 1 4.7329 -3.6811 9.4237 51 1 6.2088 -2.8018 8.8360 52 1 2.3390 -1.9685 4.4448 53 1 3.7804 -1.7417 3.3597 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 ZINC001225081017.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 06:12:12 Heat of formation + Delta-G solvation = -56.547747 kcal Electronic energy + Delta-G solvation = -29024.089515 eV Core-core repulsion = 24898.675162 eV Total energy + Delta-G solvation = -4125.414353 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 2.30 seconds Orbital eigenvalues (eV) -41.20349 -39.84172 -39.47083 -37.06152 -36.61008 -34.42939 -32.98974 -32.48841 -29.33380 -28.32651 -27.81302 -27.77240 -26.71162 -25.40354 -25.03751 -23.72913 -22.01081 -21.57900 -20.64489 -19.60073 -19.37264 -18.15233 -17.06799 -16.95386 -16.63767 -16.20637 -16.05440 -15.58643 -15.42243 -15.13733 -14.65437 -14.56155 -14.35818 -14.05320 -13.91766 -13.51923 -13.11668 -13.08573 -12.89609 -12.70642 -12.56969 -12.37815 -12.29538 -12.25749 -12.06069 -11.99994 -11.90185 -11.70729 -11.61242 -11.42363 -11.21261 -11.04634 -10.87377 -10.73736 -10.70114 -10.55545 -10.30680 -10.18904 -9.74436 -9.23923 -9.19955 -9.14006 -8.43343 -7.92857 -6.03384 -4.04864 1.61123 2.52334 3.33295 3.33747 3.37323 3.40570 3.55806 3.92712 4.30885 4.35408 4.42681 4.46575 4.49814 4.55206 4.79280 4.83166 4.86233 4.98558 5.01252 5.05991 5.06940 5.09113 5.13300 5.16431 5.19701 5.28392 5.31600 5.32625 5.34468 5.36771 5.44812 5.48350 5.59499 5.60492 5.80852 5.88025 5.88898 5.91919 5.96046 6.08075 6.14943 6.17820 6.31008 6.40055 6.59504 7.19091 7.27604 7.42657 7.64635 7.85093 7.99167 8.09819 8.44687 9.02024 9.59025 11.07654 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.020451 B = 0.001473 C = 0.001413 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1368.788486 B =19010.593482 C =19812.673352 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.183 4.183 2 C 0.135 3.865 3 C -0.141 4.141 4 C -0.183 4.183 5 O -0.361 6.361 6 C 0.673 3.327 7 O -0.570 6.570 8 N -0.636 5.636 9 C 0.138 3.862 10 C -0.119 4.119 11 C -0.110 4.110 12 C 0.062 3.938 13 O -0.376 6.376 14 C 0.053 3.947 15 C -0.003 4.003 16 N -0.465 5.465 17 C 0.162 3.838 18 C -0.507 4.507 19 H 0.063 0.937 20 C 0.054 3.946 21 N -0.900 5.900 22 Si 0.901 3.099 23 H -0.288 1.288 24 H -0.276 1.276 25 H -0.277 1.277 26 C -0.005 4.005 27 C 0.110 3.890 28 H 0.059 0.941 29 H 0.070 0.930 30 H 0.086 0.914 31 H 0.067 0.933 32 H 0.081 0.919 33 H 0.067 0.933 34 H 0.087 0.913 35 H 0.070 0.930 36 H 0.059 0.941 37 H 0.087 0.913 38 H 0.092 0.908 39 H 0.107 0.893 40 H 0.081 0.919 41 H 0.078 0.922 42 H 0.049 0.951 43 H 0.048 0.952 44 H 0.093 0.907 45 H 0.078 0.922 46 H 0.069 0.931 47 H 0.029 0.971 48 H 0.005 0.995 49 H 0.262 0.738 50 H 0.071 0.929 51 H 0.075 0.925 52 H 0.092 0.908 53 H 0.086 0.914 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.200 7.295 -29.948 32.167 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 -0.240 4.240 2 C 0.098 3.902 3 C -0.198 4.198 4 C -0.240 4.240 5 O -0.276 6.276 6 C 0.430 3.570 7 O -0.460 6.460 8 N -0.378 5.378 9 C 0.017 3.983 10 C -0.138 4.138 11 C -0.148 4.148 12 C -0.015 4.015 13 O -0.294 6.294 14 C -0.005 4.005 15 C -0.133 4.133 16 N -0.189 5.189 17 C 0.036 3.964 18 C -0.545 4.545 19 H 0.081 0.919 20 C -0.147 4.147 21 N -0.539 5.539 22 Si 0.728 3.272 23 H -0.213 1.213 24 H -0.201 1.201 25 H -0.203 1.203 26 C -0.134 4.134 27 C -0.013 4.013 28 H 0.078 0.922 29 H 0.089 0.911 30 H 0.105 0.895 31 H 0.086 0.914 32 H 0.099 0.901 33 H 0.086 0.914 34 H 0.105 0.895 35 H 0.089 0.911 36 H 0.078 0.922 37 H 0.105 0.895 38 H 0.110 0.890 39 H 0.125 0.875 40 H 0.099 0.901 41 H 0.097 0.903 42 H 0.067 0.933 43 H 0.066 0.934 44 H 0.111 0.889 45 H 0.096 0.904 46 H 0.087 0.913 47 H 0.047 0.953 48 H 0.023 0.977 49 H 0.072 0.928 50 H 0.089 0.911 51 H 0.093 0.907 52 H 0.110 0.890 53 H 0.105 0.895 Dipole moment (debyes) X Y Z Total from point charges -9.027 7.282 -30.106 32.263 hybrid contribution -0.293 0.643 0.694 0.990 sum -9.321 7.925 -29.412 31.855 Atomic orbital electron populations 1.22516 0.93994 1.04999 1.02539 1.22095 0.94392 0.91578 0.82103 1.21862 1.02318 0.92422 1.03188 1.22517 1.01580 1.03445 0.96487 1.86323 1.71644 1.23323 1.46317 1.17537 0.77892 0.80208 0.81404 1.90897 1.41303 1.70515 1.43280 1.48743 1.54051 1.14433 1.20589 1.23261 0.97616 0.81331 0.96088 1.23130 0.98598 0.95352 0.96726 1.21460 0.97590 1.02780 0.92966 1.22450 0.96928 0.97928 0.84185 1.87940 1.33568 1.81642 1.26247 1.23999 0.85779 0.98621 0.92099 1.24050 0.99196 0.96287 0.93747 1.68953 1.42494 1.02804 1.04658 1.20256 0.94850 0.97866 0.83467 1.21065 1.20566 1.21809 0.91082 0.91907 1.25010 0.95494 0.95969 0.98229 1.69951 1.32984 1.37927 1.13049 0.86520 0.80335 0.80932 0.79380 1.21328 1.20144 1.20271 1.24238 0.97704 0.97907 0.93563 1.23477 0.94074 0.96947 0.86789 0.92151 0.91072 0.89479 0.91417 0.90073 0.91410 0.89460 0.91095 0.92156 0.89463 0.89029 0.87450 0.90078 0.90298 0.93275 0.93374 0.88910 0.90408 0.91285 0.95251 0.97691 0.92842 0.91099 0.90673 0.88980 0.89528 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -0.18 -1.47 8.37 37.16 0.31 -1.16 16 2 C 0.13 1.11 1.13 -90.62 -0.10 1.01 16 3 C -0.14 -0.81 8.85 37.16 0.33 -0.48 16 4 C -0.18 -1.44 8.37 37.16 0.31 -1.13 16 5 O -0.36 -3.76 9.87 -40.31 -0.40 -4.16 16 6 C 0.67 7.64 8.22 54.06 0.44 8.09 16 7 O -0.57 -7.58 12.61 -19.28 -0.24 -7.83 16 8 N -0.64 -5.76 3.61 -183.99 -0.66 -6.42 16 9 C 0.14 0.93 8.41 -2.96 -0.02 0.90 16 10 C -0.12 -0.69 3.82 -89.69 -0.34 -1.03 16 11 C -0.11 -0.77 5.42 -26.73 -0.14 -0.92 16 12 C 0.06 0.58 5.78 37.16 0.21 0.80 16 13 O -0.38 -5.20 10.40 -35.23 -0.37 -5.57 16 14 C 0.05 0.81 4.65 -26.20 -0.12 0.69 16 15 C 0.00 -0.06 7.52 -7.53 -0.06 -0.12 16 16 N -0.46 -10.17 6.32 -246.08 -1.55 -11.73 16 17 C 0.16 4.27 4.57 -4.98 -0.02 4.25 16 18 C -0.51 -14.55 9.39 -34.44 -0.32 -14.87 16 19 H 0.06 1.79 7.81 -52.49 -0.41 1.38 16 20 C 0.05 1.56 5.46 -17.82 -0.10 1.46 16 21 N -0.90 -26.91 13.29 55.43 0.74 -26.17 16 22 Si 0.90 21.80 29.54 -169.99 -5.02 16.78 16 23 H -0.29 -6.86 7.11 56.52 0.40 -6.46 16 24 H -0.28 -6.58 7.11 56.52 0.40 -6.18 16 25 H -0.28 -6.58 7.11 56.52 0.40 -6.18 16 26 C 0.00 -0.09 7.56 -7.54 -0.06 -0.14 16 27 C 0.11 0.73 8.45 -2.83 -0.02 0.71 16 28 H 0.06 0.47 8.14 -51.93 -0.42 0.04 16 29 H 0.07 0.43 8.14 -51.93 -0.42 0.01 16 30 H 0.09 0.90 5.88 -51.93 -0.31 0.60 16 31 H 0.07 0.38 8.14 -51.93 -0.42 -0.04 16 32 H 0.08 0.32 8.14 -51.93 -0.42 -0.10 16 33 H 0.07 0.39 8.14 -51.93 -0.42 -0.03 16 34 H 0.09 0.89 5.88 -51.93 -0.31 0.58 16 35 H 0.07 0.42 8.14 -51.93 -0.42 0.00 16 36 H 0.06 0.45 8.14 -51.93 -0.42 0.03 16 37 H 0.09 0.57 8.14 -51.93 -0.42 0.15 16 38 H 0.09 0.53 8.10 -51.93 -0.42 0.11 16 39 H 0.11 0.57 8.14 -51.93 -0.42 0.15 16 40 H 0.08 0.57 8.14 -51.93 -0.42 0.15 16 41 H 0.08 0.58 7.87 -51.93 -0.41 0.17 16 42 H 0.05 0.43 8.14 -51.93 -0.42 0.01 16 43 H 0.05 0.40 8.14 -51.93 -0.42 -0.02 16 44 H 0.09 1.24 7.88 -51.93 -0.41 0.83 16 45 H 0.08 1.27 8.14 -51.93 -0.42 0.84 16 46 H 0.07 1.29 7.91 -51.93 -0.41 0.88 16 47 H 0.03 0.83 8.08 -51.92 -0.42 0.41 16 48 H 0.01 0.15 7.30 -51.93 -0.38 -0.23 16 49 H 0.26 7.41 8.31 -40.82 -0.34 7.07 16 50 H 0.07 1.41 7.42 -51.93 -0.39 1.03 16 51 H 0.07 1.33 8.14 -51.93 -0.42 0.91 16 52 H 0.09 0.56 7.92 -51.93 -0.41 0.15 16 53 H 0.09 0.54 8.14 -51.93 -0.42 0.12 16 LS Contribution 425.42 15.07 6.41 6.41 Total: -1.00 -33.75 425.42 -10.55 -44.30 By element: Atomic # 1 Polarization: 6.10 SS G_CDS: -9.74 Total: -3.64 kcal Atomic # 6 Polarization: -2.25 SS G_CDS: 0.29 Total: -1.96 kcal Atomic # 7 Polarization: -42.84 SS G_CDS: -1.48 Total: -44.32 kcal Atomic # 8 Polarization: -16.55 SS G_CDS: -1.01 Total: -17.56 kcal Atomic # 14 Polarization: 21.80 SS G_CDS: -5.02 Total: 16.78 kcal Total LS contribution 6.41 Total: 6.41 kcal Total: -33.75 -10.55 -44.30 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. ZINC001225081017.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 -12.251 kcal (2) G-P(sol) polarization free energy of solvation -33.749 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -45.999 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.548 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.297 kcal (6) G-S(sol) free energy of system = (1) + (5) -56.548 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 2.31 seconds