Wall clock time and date at job start Sat Apr 11 2020 06:11:37 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 1.53005 * 1 3 3 C 1.53000 * 109.47145 * 2 1 4 4 O 1.45196 * 109.46804 * 120.00480 * 2 1 3 5 5 C 1.34226 * 116.99971 * 149.99955 * 4 2 1 6 6 O 1.20826 * 120.00243 * 359.97438 * 5 4 2 7 7 C 1.50701 * 120.00265 * 179.97438 * 5 4 2 8 8 C 1.53001 * 109.47490 * 179.97438 * 7 5 4 9 9 C 1.52999 * 109.47199 * 179.97438 * 8 7 5 10 10 H 1.08995 * 109.47473 * 305.00443 * 9 8 7 11 11 C 1.53004 * 109.46991 * 184.99918 * 9 8 7 12 12 N 1.46506 * 109.46834 * 65.00183 * 9 8 7 13 13 C 1.34772 * 119.99661 * 204.99871 * 12 9 8 14 14 O 1.21584 * 120.00244 * 355.02277 * 13 12 9 15 15 N 1.34779 * 120.00144 * 175.03388 * 13 12 9 16 16 C 1.46922 * 120.63287 * 184.99846 * 15 13 12 17 17 C 1.52766 * 109.00437 * 233.57878 * 16 15 13 18 18 C 1.53037 * 109.38233 * 305.58466 * 17 16 15 19 19 C 1.50706 * 109.44678 * 181.25665 * 18 17 16 20 20 H 1.08001 * 119.99462 * 245.35443 * 19 18 17 21 21 C 1.37877 * 120.00094 * 65.35775 * 19 18 17 22 22 N 1.31515 * 119.99579 * 355.13496 * 21 19 18 23 23 Si 1.86795 * 120.00061 * 175.13225 * 21 19 18 24 24 H 1.48502 * 109.47039 * 94.99859 * 23 21 19 25 25 H 1.48501 * 109.47402 * 215.00064 * 23 21 19 26 26 H 1.48504 * 109.47062 * 335.00305 * 23 21 19 27 27 C 1.53043 * 109.53742 * 61.24178 * 18 17 16 28 28 C 1.46928 * 120.62736 * 5.26564 * 15 13 12 29 29 H 1.09007 * 109.46923 * 300.00113 * 1 2 3 30 30 H 1.08995 * 109.46882 * 59.99356 * 1 2 3 31 31 H 1.08992 * 109.47519 * 179.97438 * 1 2 3 32 32 H 1.09001 * 109.46530 * 239.99999 * 2 1 3 33 33 H 1.08995 * 109.46983 * 60.00403 * 3 2 1 34 34 H 1.08997 * 109.46766 * 179.97438 * 3 2 1 35 35 H 1.08995 * 109.47233 * 300.00060 * 3 2 1 36 36 H 1.09004 * 109.47089 * 59.99845 * 7 5 4 37 37 H 1.09001 * 109.47203 * 300.00370 * 7 5 4 38 38 H 1.09004 * 109.46937 * 59.99929 * 8 7 5 39 39 H 1.08998 * 109.46836 * 300.00449 * 8 7 5 40 40 H 1.08999 * 109.46835 * 180.02562 * 11 9 8 41 41 H 1.09000 * 109.46792 * 300.00272 * 11 9 8 42 42 H 1.09001 * 109.46700 * 59.99901 * 11 9 8 43 43 H 0.96996 * 119.99818 * 25.00250 * 12 9 8 44 44 H 1.09004 * 109.58858 * 353.41196 * 16 15 13 45 45 H 1.08995 * 109.58784 * 113.83853 * 16 15 13 46 46 H 1.09002 * 109.56289 * 185.55199 * 17 16 15 47 47 H 1.08998 * 109.38810 * 65.51657 * 17 16 15 48 48 H 1.09005 * 109.46216 * 301.21894 * 18 17 16 49 49 H 0.97009 * 119.99170 * 179.97438 * 22 21 19 50 50 H 1.09000 * 109.49157 * 178.68312 * 27 18 17 51 51 H 1.08997 * 109.52351 * 58.60185 * 27 18 17 52 52 H 1.08999 * 109.58868 * 246.16206 * 28 15 13 53 53 H 1.09002 * 109.58531 * 6.44998 * 28 15 13 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 8 2.0140 -0.6846 1.1855 5 6 3.1936 -1.3171 1.0850 6 8 3.8015 -1.2998 0.0410 7 6 3.7599 -2.0490 2.2745 8 6 5.1021 -2.6777 1.8949 9 6 5.6773 -3.4201 3.1027 10 1 5.7408 -2.7392 3.9513 11 6 7.0744 -3.9426 2.7622 12 7 4.8047 -4.5462 3.4445 13 6 4.7897 -5.0293 4.7026 14 8 5.5644 -4.5917 5.5312 15 7 3.9160 -5.9977 5.0423 16 6 3.8121 -6.4578 6.4338 17 6 3.9793 -7.9759 6.4696 18 6 2.9700 -8.6207 5.5170 19 6 3.1129 -10.1198 5.5743 20 1 3.4509 -10.6636 4.7046 21 6 2.8120 -10.7971 6.7370 22 7 2.4928 -10.1284 7.8235 23 14 2.8577 -12.6642 6.7688 24 1 4.1814 -13.1185 7.2655 25 1 1.7908 -13.1703 7.6692 26 1 2.6374 -13.1882 5.3968 27 6 3.2332 -8.1376 4.0888 28 6 3.0535 -6.6175 4.0270 29 1 -0.3633 0.5139 0.8900 30 1 -0.3633 0.5139 -0.8899 31 1 -0.3634 -1.0276 -0.0005 32 1 1.8933 -0.5139 -0.8900 33 1 1.6768 1.9563 0.8900 34 1 3.1300 1.4424 0.0005 35 1 1.6767 1.9563 -0.8899 36 1 3.0668 -2.8316 2.5832 37 1 3.9060 -1.3482 3.0965 38 1 5.7953 -1.8953 1.5859 39 1 4.9555 -3.3785 1.0731 40 1 7.4840 -4.4719 3.6225 41 1 7.0107 -4.6237 1.9135 42 1 7.7236 -3.1047 2.5077 43 1 4.2378 -4.9441 2.7654 44 1 4.5944 -5.9911 7.0324 45 1 2.8343 -6.1911 6.8347 46 1 3.8061 -8.3383 7.4829 47 1 4.9910 -8.2359 6.1582 48 1 1.9595 -8.3406 5.8147 49 1 2.2807 -10.6050 8.6414 50 1 2.5289 -8.6152 3.4077 51 1 4.2517 -8.3956 3.7989 52 1 2.0126 -6.3641 4.2278 53 1 3.3339 -6.2543 3.0383 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 ZINC000525928226.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 06:11:37 Heat of formation + Delta-G solvation = -139.137904 kcal Electronic energy + Delta-G solvation = -30392.475981 eV Core-core repulsion = 26263.480250 eV Total energy + Delta-G solvation = -4128.995731 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.68 seconds Orbital eigenvalues (eV) -40.90804 -40.05289 -37.68264 -37.08163 -35.97056 -33.64444 -33.55628 -32.41892 -31.10422 -30.47008 -29.49235 -27.73952 -26.13253 -25.59187 -23.19088 -22.57282 -22.15140 -21.15557 -20.68631 -20.16394 -18.93894 -18.13660 -17.52984 -16.86394 -16.51230 -16.36408 -16.04044 -15.04209 -14.88623 -14.68497 -14.54181 -14.28381 -13.95720 -13.94373 -13.54976 -13.26179 -13.10667 -13.00482 -12.74626 -12.71178 -12.63123 -12.51458 -12.24708 -12.15272 -12.08933 -11.78537 -11.65354 -11.52136 -11.33411 -11.11157 -11.00906 -10.94807 -10.90041 -10.66803 -10.65836 -10.42453 -10.06621 -9.73882 -9.54305 -9.17692 -8.98815 -8.89955 -8.37216 -7.88546 -6.02180 -4.07684 1.92405 2.33362 3.00162 3.28734 3.36340 3.39220 3.56772 4.18636 4.26719 4.34787 4.41832 4.46271 4.46410 4.69292 4.69691 4.83831 5.08070 5.21587 5.23230 5.26522 5.28334 5.30183 5.32820 5.34972 5.46976 5.54540 5.60730 5.67758 5.69065 5.75716 5.75938 5.81118 5.97550 6.08250 6.19819 6.24012 6.26985 6.43605 6.50712 6.61379 6.70324 6.82056 6.98619 7.15013 7.24738 7.46874 7.50523 7.70863 7.93305 8.04562 8.32057 8.40977 8.95763 8.96556 9.57184 11.04049 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.015767 B = 0.002139 C = 0.001994 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1775.452692 B =13087.746183 C =14038.298543 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C 0.079 3.921 3 C -0.170 4.170 4 O -0.354 6.354 5 C 0.463 3.537 6 O -0.510 6.510 7 C -0.115 4.115 8 C -0.115 4.115 9 C 0.162 3.838 10 H 0.089 0.911 11 C -0.163 4.163 12 N -0.750 5.750 13 C 0.706 3.294 14 O -0.599 6.599 15 N -0.618 5.618 16 C 0.127 3.873 17 C -0.121 4.121 18 C 0.050 3.950 19 C -0.514 4.514 20 H 0.054 0.946 21 C 0.062 3.938 22 N -0.889 5.889 23 Si 0.890 3.110 24 H -0.282 1.282 25 H -0.286 1.286 26 H -0.275 1.275 27 C -0.124 4.124 28 C 0.113 3.887 29 H 0.068 0.932 30 H 0.077 0.923 31 H 0.066 0.934 32 H 0.085 0.915 33 H 0.066 0.934 34 H 0.061 0.939 35 H 0.074 0.926 36 H 0.108 0.892 37 H 0.108 0.892 38 H 0.088 0.912 39 H 0.078 0.922 40 H 0.066 0.934 41 H 0.055 0.945 42 H 0.062 0.938 43 H 0.393 0.607 44 H 0.076 0.924 45 H 0.056 0.944 46 H 0.098 0.902 47 H 0.037 0.963 48 H 0.029 0.971 49 H 0.260 0.740 50 H 0.060 0.940 51 H 0.052 0.948 52 H 0.062 0.938 53 H 0.058 0.942 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.225 20.806 -14.707 25.508 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 -0.208 4.208 2 C 0.024 3.976 3 C -0.227 4.227 4 O -0.271 6.271 5 C 0.306 3.694 6 O -0.398 6.398 7 C -0.153 4.153 8 C -0.153 4.153 9 C 0.057 3.943 10 H 0.107 0.893 11 C -0.222 4.222 12 N -0.409 5.409 13 C 0.407 3.593 14 O -0.478 6.478 15 N -0.355 5.355 16 C 0.005 3.995 17 C -0.160 4.160 18 C 0.031 3.969 19 C -0.552 4.552 20 H 0.072 0.928 21 C -0.140 4.140 22 N -0.528 5.528 23 Si 0.718 3.282 24 H -0.208 1.208 25 H -0.212 1.212 26 H -0.200 1.200 27 C -0.162 4.162 28 C -0.010 4.010 29 H 0.087 0.913 30 H 0.096 0.904 31 H 0.085 0.915 32 H 0.103 0.897 33 H 0.085 0.915 34 H 0.080 0.920 35 H 0.093 0.907 36 H 0.126 0.874 37 H 0.126 0.874 38 H 0.106 0.894 39 H 0.096 0.904 40 H 0.086 0.914 41 H 0.074 0.926 42 H 0.081 0.919 43 H 0.230 0.770 44 H 0.095 0.905 45 H 0.074 0.926 46 H 0.116 0.884 47 H 0.056 0.944 48 H 0.047 0.953 49 H 0.070 0.930 50 H 0.078 0.922 51 H 0.070 0.930 52 H 0.081 0.919 53 H 0.076 0.924 Dipole moment (debyes) X Y Z Total from point charges -0.583 21.136 -14.225 25.484 hybrid contribution -0.294 -1.293 -0.453 1.401 sum -0.876 19.842 -14.677 24.696 Atomic orbital electron populations 1.21899 0.92302 1.03367 1.03208 1.22744 0.95089 0.92691 0.87059 1.22208 1.02105 0.95259 1.03144 1.86595 1.36768 1.62585 1.41169 1.23878 0.79019 0.76205 0.90301 1.90656 1.59390 1.58779 1.30969 1.21465 0.98424 1.00677 0.94705 1.21771 0.94909 1.00520 0.98081 1.20729 0.89394 0.87411 0.96791 0.89311 1.22181 0.96147 1.01511 1.02348 1.45460 1.47734 1.37233 1.10479 1.15865 0.81102 0.80052 0.82261 1.90862 1.42890 1.63845 1.50246 1.47451 1.39672 1.37810 1.10525 1.21666 1.00891 0.97566 0.79424 1.21933 0.99269 0.90155 1.04649 1.18631 0.95123 0.94813 0.88310 1.21174 1.44742 0.91693 0.97596 0.92791 1.24968 0.95185 0.98177 0.95652 1.69883 1.47007 1.35079 1.00789 0.86622 0.77663 0.86071 0.77879 1.20844 1.21214 1.19959 1.22014 1.00921 0.91760 1.01535 1.21705 0.94044 0.95665 0.89574 0.91286 0.90378 0.91538 0.89734 0.91462 0.91989 0.90688 0.87412 0.87377 0.89377 0.90355 0.91445 0.92565 0.91929 0.77032 0.90547 0.92592 0.88365 0.94366 0.95272 0.92988 0.92152 0.92963 0.91946 0.92358 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 -0.15 -0.86 9.57 37.16 0.36 -0.51 16 2 C 0.08 0.61 3.18 -26.73 -0.09 0.53 16 3 C -0.17 -1.11 9.55 37.16 0.35 -0.75 16 4 O -0.35 -3.37 9.88 -39.25 -0.39 -3.76 16 5 C 0.46 4.56 7.93 36.01 0.29 4.84 16 6 O -0.51 -6.15 15.20 -18.75 -0.29 -6.43 16 7 C -0.12 -0.93 5.70 -27.88 -0.16 -1.09 16 8 C -0.11 -0.96 4.04 -26.73 -0.11 -1.06 16 9 C 0.16 1.71 2.54 -67.93 -0.17 1.54 16 10 H 0.09 1.04 7.65 -51.93 -0.40 0.64 16 11 C -0.16 -1.74 9.48 37.16 0.35 -1.39 16 12 N -0.75 -9.34 4.44 -58.67 -0.26 -9.60 16 13 C 0.71 12.04 8.26 -86.92 -0.72 11.32 16 14 O -0.60 -12.25 15.43 5.29 0.08 -12.17 16 15 N -0.62 -10.86 2.98 -178.76 -0.53 -11.39 16 16 C 0.13 2.51 6.41 -3.93 -0.03 2.49 16 17 C -0.12 -2.79 5.18 -26.83 -0.14 -2.93 16 18 C 0.05 1.17 2.01 -91.73 -0.18 0.98 16 19 C -0.51 -13.61 8.49 -34.44 -0.29 -13.90 16 20 H 0.05 1.42 7.75 -52.49 -0.41 1.02 16 21 C 0.06 1.66 5.36 -17.82 -0.10 1.57 16 22 N -0.89 -24.69 11.53 55.43 0.64 -24.05 16 23 Si 0.89 20.92 29.54 -169.99 -5.02 15.89 16 24 H -0.28 -6.65 7.11 56.52 0.40 -6.25 16 25 H -0.29 -6.71 7.11 56.52 0.40 -6.30 16 26 H -0.27 -6.38 7.11 56.52 0.40 -5.98 16 27 C -0.12 -2.35 5.30 -26.61 -0.14 -2.49 16 28 C 0.11 1.75 6.39 -3.71 -0.02 1.73 16 29 H 0.07 0.39 8.14 -51.93 -0.42 -0.04 16 30 H 0.08 0.31 8.14 -51.93 -0.42 -0.11 16 31 H 0.07 0.40 8.14 -51.93 -0.42 -0.03 16 32 H 0.08 0.72 7.16 -51.93 -0.37 0.35 16 33 H 0.07 0.41 8.14 -51.93 -0.42 -0.01 16 34 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 35 H 0.07 0.36 8.14 -51.93 -0.42 -0.06 16 36 H 0.11 0.85 7.75 -51.93 -0.40 0.45 16 37 H 0.11 0.77 8.14 -51.93 -0.42 0.35 16 38 H 0.09 0.70 8.10 -51.93 -0.42 0.28 16 39 H 0.08 0.67 8.10 -51.93 -0.42 0.25 16 40 H 0.07 0.91 8.10 -51.93 -0.42 0.49 16 41 H 0.06 0.57 8.14 -51.93 -0.42 0.14 16 42 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 43 H 0.39 4.16 6.09 -40.82 -0.25 3.91 16 44 H 0.08 1.56 7.00 -51.93 -0.36 1.20 16 45 H 0.06 1.08 8.14 -51.93 -0.42 0.66 16 46 H 0.10 2.52 6.29 -51.93 -0.33 2.19 16 47 H 0.04 0.91 8.14 -51.93 -0.42 0.49 16 48 H 0.03 0.74 8.14 -51.93 -0.42 0.32 16 49 H 0.26 6.94 8.31 -40.82 -0.34 6.60 16 50 H 0.06 1.09 8.14 -51.93 -0.42 0.67 16 51 H 0.05 1.03 8.14 -51.93 -0.42 0.61 16 52 H 0.06 0.92 8.14 -51.93 -0.42 0.50 16 53 H 0.06 0.71 5.64 -51.93 -0.29 0.41 16 LS Contribution 419.80 15.07 6.33 6.33 Total: -1.00 -31.62 419.80 -9.78 -41.40 By element: Atomic # 1 Polarization: 12.46 SS G_CDS: -9.55 Total: 2.91 kcal Atomic # 6 Polarization: 1.66 SS G_CDS: -0.79 Total: 0.87 kcal Atomic # 7 Polarization: -44.88 SS G_CDS: -0.15 Total: -45.04 kcal Atomic # 8 Polarization: -21.77 SS G_CDS: -0.59 Total: -22.36 kcal Atomic # 14 Polarization: 20.92 SS G_CDS: -5.02 Total: 15.89 kcal Total LS contribution 6.33 Total: 6.33 kcal Total: -31.62 -9.78 -41.40 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. ZINC000525928226.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 -97.739 kcal (2) G-P(sol) polarization free energy of solvation -31.616 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -129.355 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.783 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.399 kcal (6) G-S(sol) free energy of system = (1) + (5) -139.138 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.68 seconds