Wall clock time and date at job start Wed Apr 1 2020 00:23:41 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 1.52998 * 1 3 3 C 1.53007 * 109.46915 * 2 1 4 4 C 1.53002 * 109.47389 * 240.00069 * 2 1 3 5 5 C 1.52998 * 109.47354 * 119.99573 * 2 1 3 6 6 H 1.09002 * 109.44895 * 293.18446 * 5 2 1 7 7 C 1.53045 * 109.45981 * 173.21655 * 5 2 1 8 8 C 1.53198 * 109.30939 * 178.61586 * 7 5 2 9 9 N 1.46933 * 108.77302 * 54.63688 * 8 7 5 10 10 C 1.34777 * 120.62930 * 126.41307 * 9 8 7 11 11 O 1.21353 * 119.99950 * 352.85213 * 10 9 8 12 12 C 1.49442 * 119.99775 * 172.85370 * 10 9 8 13 13 O 1.21343 * 120.00400 * 353.39589 * 12 10 9 14 14 N 1.34781 * 119.99722 * 173.39484 * 12 10 9 15 15 C 1.46497 * 120.00033 * 180.02562 * 14 12 10 16 16 C 1.53003 * 109.47298 * 180.02562 * 15 14 12 17 17 C 1.53001 * 109.47269 * 180.02562 * 16 15 14 18 18 C 1.50694 * 109.47349 * 179.97438 * 17 16 15 19 19 H 1.08000 * 119.99723 * 0.02562 * 18 17 16 20 20 C 1.37877 * 120.00387 * 179.97438 * 18 17 16 21 21 N 1.31516 * 119.99584 * 0.02562 * 20 18 17 22 22 Si 1.86800 * 120.00137 * 180.02562 * 20 18 17 23 23 H 1.48501 * 109.47156 * 0.02562 * 22 20 18 24 24 H 1.48504 * 109.46866 * 120.00296 * 22 20 18 25 25 H 1.48500 * 109.46813 * 240.00225 * 22 20 18 26 26 C 1.46925 * 118.73919 * 306.38891 * 9 8 7 27 27 C 1.53036 * 109.45813 * 53.15035 * 5 2 1 28 28 H 1.09000 * 109.49798 * 301.33762 * 27 5 2 29 29 O 1.42903 * 109.52707 * 61.41724 * 27 5 2 30 30 H 1.09001 * 109.47023 * 300.00423 * 1 2 3 31 31 H 1.08999 * 109.47369 * 60.00355 * 1 2 3 32 32 H 1.08992 * 109.46828 * 180.02562 * 1 2 3 33 33 H 1.09005 * 109.46797 * 180.02562 * 3 2 1 34 34 H 1.09008 * 109.46909 * 299.99790 * 3 2 1 35 35 H 1.08993 * 109.47297 * 59.99917 * 3 2 1 36 36 H 1.09001 * 109.46403 * 309.32356 * 4 2 1 37 37 H 1.08997 * 109.46945 * 69.31831 * 4 2 1 38 38 H 1.09001 * 109.47186 * 189.32512 * 4 2 1 39 39 H 1.08997 * 109.49690 * 58.66559 * 7 5 2 40 40 H 1.08995 * 109.52086 * 298.58283 * 7 5 2 41 41 H 1.08994 * 109.58966 * 294.84893 * 8 7 5 42 42 H 1.09000 * 109.57970 * 174.41829 * 8 7 5 43 43 H 0.96999 * 120.00369 * 0.02562 * 14 12 10 44 44 H 1.09004 * 109.46954 * 299.99925 * 15 14 12 45 45 H 1.08997 * 109.47132 * 59.99938 * 15 14 12 46 46 H 1.09004 * 109.46784 * 299.99695 * 16 15 14 47 47 H 1.08997 * 109.47352 * 59.99739 * 16 15 14 48 48 H 1.09000 * 109.46859 * 300.00295 * 17 16 15 49 49 H 1.09009 * 109.46862 * 59.99376 * 17 16 15 50 50 H 0.96998 * 119.99952 * 179.97438 * 21 20 18 51 51 H 1.09003 * 109.58618 * 293.82155 * 26 9 8 52 52 H 1.09000 * 109.70378 * 173.46859 * 26 9 8 53 53 H 0.96699 * 114.00038 * 179.97438 * 29 27 5 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 1.4426 0.0000 4 6 2.0400 -0.7212 -1.2492 5 6 2.0400 -0.7211 1.2493 6 1 1.7795 -0.1414 2.1348 7 6 3.5610 -0.8703 1.1666 8 6 4.0718 -1.5617 2.4347 9 7 3.3495 -2.8297 2.6055 10 6 4.0218 -3.9879 2.7576 11 8 5.2279 -4.0112 2.6252 12 6 3.2821 -5.2433 3.0893 13 8 2.0955 -5.2003 3.3395 14 7 3.9329 -6.4234 3.1104 15 6 3.2077 -7.6541 3.4350 16 6 4.1719 -8.8412 3.3902 17 6 3.4144 -10.1267 3.7286 18 6 4.3639 -11.2960 3.6839 19 1 5.4039 -11.1380 3.4391 20 6 3.9054 -12.5674 3.9565 21 7 2.6391 -12.7597 4.2551 22 14 5.0827 -14.0167 3.9018 23 1 6.4419 -13.5371 3.5446 24 1 5.1236 -14.6717 5.2340 25 1 4.6184 -14.9933 2.8840 26 6 1.8803 -2.8111 2.6080 27 6 1.3941 -2.1057 1.3381 28 1 0.3098 -1.9997 1.3733 29 8 1.7609 -2.8782 0.1932 30 1 -0.3633 0.5139 0.8900 31 1 -0.3634 0.5138 -0.8900 32 1 -0.3633 -1.0276 0.0005 33 1 3.1300 1.4426 -0.0005 34 1 1.6766 1.9564 -0.8901 35 1 1.6766 1.9564 0.8899 36 1 1.5471 -1.6895 -1.3363 37 1 1.8190 -0.1204 -2.1314 38 1 3.1173 -0.8677 -1.1699 39 1 4.0189 0.1150 1.0798 40 1 3.8212 -1.4705 0.2949 41 1 3.8934 -0.9204 3.2977 42 1 5.1393 -1.7594 2.3381 43 1 4.8815 -6.4578 2.9108 44 1 2.7802 -7.5712 4.4343 45 1 2.4087 -7.8071 2.7096 46 1 4.5997 -8.9243 2.3911 47 1 4.9707 -8.6881 4.1159 48 1 2.9861 -10.0439 4.7275 49 1 2.6157 -10.2796 3.0025 50 1 2.3163 -13.6541 4.4466 51 1 1.5232 -2.2717 3.4852 52 1 1.4999 -3.8324 2.6271 53 1 1.3861 -3.7696 0.1837 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 ZINC001328617721.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 00:23:41 Heat of formation + Delta-G solvation = -127.268912 kcal Electronic energy + Delta-G solvation = -30832.849334 eV Core-core repulsion = 26704.368281 eV Total energy + Delta-G solvation = -4128.481053 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.81 seconds Orbital eigenvalues (eV) -41.23852 -39.87548 -38.42620 -36.64037 -35.85419 -35.35174 -33.39081 -31.85209 -31.28777 -30.39415 -27.74336 -27.51188 -27.33141 -26.04310 -24.29389 -23.26120 -22.39759 -21.08876 -20.79029 -19.82413 -18.78623 -18.11424 -17.14308 -16.64210 -16.42625 -16.23950 -15.87450 -15.54069 -15.17902 -15.07297 -14.82711 -14.47186 -14.45427 -14.20569 -14.07424 -13.73278 -13.48291 -13.08998 -13.00244 -12.59869 -12.51135 -12.36935 -12.30994 -12.00786 -11.98833 -11.89586 -11.80822 -11.61447 -11.29893 -11.19397 -10.94786 -10.79662 -10.72756 -10.62758 -10.59546 -10.37039 -10.17363 -9.94022 -9.62526 -9.24120 -9.13272 -9.00111 -8.83238 -8.40461 -6.05104 -4.07992 1.38584 2.27113 3.15185 3.28772 3.36451 3.39975 3.43827 3.93897 4.24204 4.33787 4.39724 4.43158 4.45762 4.64740 4.74406 4.90414 4.92478 5.03164 5.11358 5.28255 5.31108 5.32475 5.39424 5.44672 5.46238 5.50601 5.53332 5.54196 5.58650 5.63652 5.64608 5.69824 5.74718 5.84113 5.99150 6.01920 6.03141 6.11383 6.20641 6.33788 6.40051 6.50061 6.68588 6.89882 6.92401 7.27840 7.41299 7.59062 7.70163 7.71092 7.93247 7.99830 8.34538 8.98719 9.56606 11.06185 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.025960 B = 0.001881 C = 0.001835 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1078.321993 B =14883.389501 C =15252.738993 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.144 4.144 2 C -0.060 4.060 3 C -0.144 4.144 4 C -0.144 4.144 5 C -0.070 4.070 6 H 0.079 0.921 7 C -0.129 4.129 8 C 0.107 3.893 9 N -0.573 5.573 10 C 0.510 3.490 11 O -0.524 6.524 12 C 0.504 3.496 13 O -0.522 6.522 14 N -0.687 5.687 15 C 0.113 3.887 16 C -0.123 4.123 17 C 0.024 3.976 18 C -0.522 4.522 19 H 0.057 0.943 20 C 0.057 3.943 21 N -0.894 5.894 22 Si 0.893 3.107 23 H -0.273 1.273 24 H -0.284 1.284 25 H -0.284 1.284 26 C 0.032 3.968 27 C 0.093 3.907 28 H 0.070 0.930 29 O -0.549 6.549 30 H 0.051 0.949 31 H 0.053 0.947 32 H 0.059 0.941 33 H 0.056 0.944 34 H 0.053 0.947 35 H 0.052 0.948 36 H 0.082 0.918 37 H 0.038 0.962 38 H 0.055 0.945 39 H 0.075 0.925 40 H 0.085 0.915 41 H 0.068 0.932 42 H 0.094 0.906 43 H 0.412 0.588 44 H 0.071 0.929 45 H 0.072 0.928 46 H 0.057 0.943 47 H 0.057 0.943 48 H 0.020 0.980 49 H 0.020 0.980 50 H 0.261 0.739 51 H 0.073 0.927 52 H 0.150 0.850 53 H 0.373 0.627 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.615 29.772 -7.424 30.896 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 -0.201 4.201 2 C -0.060 4.060 3 C -0.201 4.201 4 C -0.201 4.201 5 C -0.088 4.088 6 H 0.098 0.902 7 C -0.167 4.167 8 C -0.015 4.015 9 N -0.306 5.306 10 C 0.293 3.707 11 O -0.400 6.400 12 C 0.285 3.715 13 O -0.401 6.401 14 N -0.338 5.338 15 C -0.009 4.009 16 C -0.161 4.161 17 C -0.013 4.013 18 C -0.561 4.561 19 H 0.075 0.925 20 C -0.145 4.145 21 N -0.533 5.533 22 Si 0.721 3.279 23 H -0.197 1.197 24 H -0.210 1.210 25 H -0.210 1.210 26 C -0.090 4.090 27 C 0.033 3.967 28 H 0.088 0.912 29 O -0.355 6.355 30 H 0.070 0.930 31 H 0.072 0.928 32 H 0.078 0.922 33 H 0.075 0.925 34 H 0.072 0.928 35 H 0.071 0.929 36 H 0.101 0.899 37 H 0.058 0.942 38 H 0.074 0.926 39 H 0.093 0.907 40 H 0.103 0.897 41 H 0.086 0.914 42 H 0.112 0.888 43 H 0.248 0.752 44 H 0.090 0.910 45 H 0.090 0.910 46 H 0.076 0.924 47 H 0.076 0.924 48 H 0.038 0.962 49 H 0.038 0.962 50 H 0.070 0.930 51 H 0.091 0.909 52 H 0.166 0.834 53 H 0.220 0.780 Dipole moment (debyes) X Y Z Total from point charges -3.593 30.173 -7.409 31.277 hybrid contribution 0.625 -1.205 0.198 1.372 sum -2.968 28.969 -7.211 30.000 Atomic orbital electron populations 1.21951 0.94851 1.01906 1.01408 1.20474 0.95265 0.94807 0.95423 1.21942 1.01134 0.95554 1.01468 1.22097 1.01687 1.01205 0.95064 1.21241 0.95456 0.93846 0.98281 0.90233 1.22035 0.95115 1.00949 0.98558 1.21755 0.98200 0.83720 0.97836 1.47726 1.07503 1.06129 1.69284 1.20184 0.87393 0.84838 0.78312 1.90748 1.14023 1.85596 1.49640 1.20081 0.87225 0.85060 0.79146 1.90421 1.15027 1.85440 1.49246 1.46127 1.14348 1.06551 1.66744 1.21867 0.95925 0.81780 1.01316 1.21936 0.98059 0.94708 1.01436 1.19034 0.95532 0.89537 0.97216 1.21237 0.95598 0.91919 1.47304 0.92506 1.25029 0.95152 0.99075 0.95228 1.69970 1.13913 1.21994 1.47411 0.86517 0.81195 0.82533 0.77641 1.19719 1.20996 1.20987 1.23720 0.79116 1.08068 0.98117 1.22267 0.97878 0.91233 0.85274 0.91199 1.86617 1.76887 1.29375 1.42639 0.92999 0.92818 0.92187 0.92508 0.92802 0.92937 0.89922 0.94249 0.92624 0.90687 0.89667 0.91351 0.88767 0.75216 0.91033 0.90991 0.92400 0.92405 0.96201 0.96193 0.92967 0.90854 0.83356 0.77955 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 -0.14 -0.89 7.92 37.16 0.29 -0.60 16 2 C -0.06 -0.40 0.58 -154.51 -0.09 -0.49 16 3 C -0.14 -0.85 8.25 37.16 0.31 -0.54 16 4 C -0.14 -1.13 7.35 37.16 0.27 -0.85 16 5 C -0.07 -0.48 1.49 -90.58 -0.13 -0.62 16 6 H 0.08 0.50 8.14 -51.93 -0.42 0.08 16 7 C -0.13 -0.99 4.46 -26.61 -0.12 -1.11 16 8 C 0.11 0.96 6.44 -3.70 -0.02 0.94 16 9 N -0.57 -6.19 2.91 -173.27 -0.50 -6.70 16 10 C 0.51 6.87 7.74 -11.59 -0.09 6.78 16 11 O -0.52 -8.11 15.92 5.49 0.09 -8.02 16 12 C 0.50 7.18 7.76 -11.59 -0.09 7.09 16 13 O -0.52 -7.88 13.14 5.50 0.07 -7.81 16 14 N -0.69 -9.93 5.55 -60.73 -0.34 -10.27 16 15 C 0.11 1.85 5.67 -4.04 -0.02 1.83 16 16 C -0.12 -2.34 5.27 -26.73 -0.14 -2.49 16 17 C 0.02 0.60 4.97 -27.89 -0.14 0.46 16 18 C -0.52 -14.40 9.11 -34.44 -0.31 -14.71 16 19 H 0.06 1.52 7.74 -52.49 -0.41 1.11 16 20 C 0.06 1.60 5.46 -17.82 -0.10 1.50 16 21 N -0.89 -26.41 13.29 55.43 0.74 -25.68 16 22 Si 0.89 21.36 29.54 -169.99 -5.02 16.33 16 23 H -0.27 -6.38 7.11 56.52 0.40 -5.97 16 24 H -0.28 -6.73 7.11 56.52 0.40 -6.33 16 25 H -0.28 -6.72 7.11 56.52 0.40 -6.32 16 26 C 0.03 0.29 5.66 -3.71 -0.02 0.27 16 27 C 0.09 0.70 2.72 -26.62 -0.07 0.63 16 28 H 0.07 0.46 6.25 -51.93 -0.32 0.13 16 29 O -0.55 -4.59 9.07 -35.23 -0.32 -4.91 16 30 H 0.05 0.29 8.14 -51.93 -0.42 -0.13 16 31 H 0.05 0.33 8.14 -51.93 -0.42 -0.09 16 32 H 0.06 0.39 6.29 -51.93 -0.33 0.06 16 33 H 0.06 0.33 6.60 -51.93 -0.34 -0.01 16 34 H 0.05 0.31 8.14 -51.92 -0.42 -0.11 16 35 H 0.05 0.28 8.14 -51.93 -0.42 -0.14 16 36 H 0.08 0.73 5.70 -51.93 -0.30 0.43 16 37 H 0.04 0.30 8.12 -51.93 -0.42 -0.13 16 38 H 0.05 0.48 5.83 -51.93 -0.30 0.18 16 39 H 0.07 0.48 6.57 -51.93 -0.34 0.14 16 40 H 0.08 0.82 5.69 -51.93 -0.30 0.53 16 41 H 0.07 0.52 8.14 -51.93 -0.42 0.09 16 42 H 0.09 0.96 7.00 -51.93 -0.36 0.60 16 43 H 0.41 5.58 7.96 -40.82 -0.33 5.25 16 44 H 0.07 1.21 8.14 -51.93 -0.42 0.79 16 45 H 0.07 1.19 8.14 -51.93 -0.42 0.77 16 46 H 0.06 1.07 8.14 -51.93 -0.42 0.64 16 47 H 0.06 1.07 8.14 -51.93 -0.42 0.65 16 48 H 0.02 0.52 8.14 -51.93 -0.42 0.09 16 49 H 0.02 0.52 8.14 -51.92 -0.42 0.09 16 50 H 0.26 7.26 8.31 -40.82 -0.34 6.92 16 51 H 0.07 0.61 8.14 -51.93 -0.42 0.19 16 52 H 0.15 1.62 4.22 -55.28 -0.23 1.39 16 53 H 0.37 2.45 9.08 45.56 0.41 2.87 16 LS Contribution 402.78 15.07 6.07 6.07 Total: -1.00 -31.21 402.78 -7.89 -39.10 By element: Atomic # 1 Polarization: 11.99 SS G_CDS: -8.20 Total: 3.79 kcal Atomic # 6 Polarization: -1.43 SS G_CDS: -0.48 Total: -1.91 kcal Atomic # 7 Polarization: -42.54 SS G_CDS: -0.11 Total: -42.65 kcal Atomic # 8 Polarization: -20.58 SS G_CDS: -0.16 Total: -20.74 kcal Atomic # 14 Polarization: 21.36 SS G_CDS: -5.02 Total: 16.33 kcal Total LS contribution 6.07 Total: 6.07 kcal Total: -31.21 -7.89 -39.10 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. ZINC001328617721.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 -88.171 kcal (2) G-P(sol) polarization free energy of solvation -31.207 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -119.378 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.891 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.098 kcal (6) G-S(sol) free energy of system = (1) + (5) -127.269 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.82 seconds