Wall clock time and date at job start Sat Apr 11 2020 06:11:29 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 1.30996 * 1 3 3 C 1.50698 * 119.99840 * 2 1 4 4 C 1.50703 * 120.00489 * 179.97438 * 2 1 3 5 5 H 1.09007 * 109.46699 * 4.99857 * 4 2 1 6 6 C 1.53001 * 109.47180 * 245.00416 * 4 2 1 7 7 C 1.50695 * 109.47048 * 174.99667 * 6 4 2 8 8 O 1.21282 * 120.00036 * 359.97438 * 7 6 4 9 9 N 1.34774 * 120.00255 * 179.97438 * 7 6 4 10 10 C 1.46502 * 120.00289 * 180.02562 * 9 7 6 11 11 C 1.53001 * 109.47082 * 180.02562 * 10 9 7 12 12 C 1.52999 * 109.51448 * 60.09947 * 11 10 9 13 13 C 1.53294 * 109.51225 * 180.25616 * 11 10 9 14 14 N 1.47231 * 108.40580 * 172.23190 * 13 11 10 15 15 C 1.36930 * 121.03478 * 129.45775 * 14 13 11 16 16 H 1.08002 * 120.00530 * 206.18179 * 15 14 13 17 17 C 1.38816 * 119.99608 * 26.18409 * 15 14 13 18 18 N 1.31615 * 120.00526 * 16.88476 * 17 15 14 19 19 Si 1.86806 * 119.99896 * 196.88547 * 17 15 14 20 20 H 1.48497 * 109.46975 * 59.99586 * 19 17 15 21 21 H 1.48495 * 109.47304 * 179.97438 * 19 17 15 22 22 H 1.48504 * 109.47064 * 300.00118 * 19 17 15 23 23 C 1.47154 * 117.98080 * 309.48144 * 14 13 11 24 24 C 1.53298 * 108.41825 * 50.52276 * 23 14 13 25 25 O 1.42959 * 109.51185 * 300.00138 * 11 10 9 26 26 O 1.42896 * 109.47171 * 124.99999 * 4 2 1 27 27 C 1.42902 * 114.00297 * 270.00094 * 26 4 2 28 28 C 1.52995 * 109.47211 * 179.97438 * 27 26 4 29 29 H 1.08004 * 119.99910 * 179.97438 * 1 2 3 30 30 H 1.07998 * 120.00353 * 0.02562 * 1 2 3 31 31 H 1.09003 * 109.47492 * 269.99467 * 3 2 1 32 32 H 1.09000 * 109.46977 * 29.99923 * 3 2 1 33 33 H 1.09001 * 109.47142 * 150.00053 * 3 2 1 34 34 H 1.08999 * 109.46841 * 54.99935 * 6 4 2 35 35 H 1.08999 * 109.46999 * 294.99722 * 6 4 2 36 36 H 0.97000 * 119.99622 * 0.02562 * 9 7 6 37 37 H 1.09002 * 109.46877 * 60.00024 * 10 9 7 38 38 H 1.08999 * 109.47195 * 299.99992 * 10 9 7 39 39 H 1.09004 * 109.47366 * 299.89914 * 12 11 10 40 40 H 1.09004 * 109.47010 * 59.89917 * 12 11 10 41 41 H 1.09003 * 109.47551 * 179.89846 * 12 11 10 42 42 H 1.09001 * 109.68145 * 291.94467 * 13 11 10 43 43 H 1.09001 * 109.68444 * 52.49853 * 13 11 10 44 44 H 0.97002 * 120.00383 * 180.02562 * 18 17 15 45 45 H 1.08997 * 109.68310 * 290.77594 * 23 14 13 46 46 H 1.09005 * 109.67869 * 170.26376 * 23 14 13 47 47 H 1.09001 * 109.51044 * 67.59999 * 24 23 14 48 48 H 1.09000 * 109.51036 * 187.70217 * 24 23 14 49 49 H 1.08998 * 109.47217 * 300.00772 * 27 26 4 50 50 H 1.09002 * 109.46738 * 60.00240 * 27 26 4 51 51 H 1.09002 * 109.47006 * 60.00487 * 28 27 26 52 52 H 1.09007 * 109.47381 * 179.97438 * 28 27 26 53 53 H 1.08998 * 109.47729 * 300.00542 * 28 27 26 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 1.3100 0.0000 0.0000 3 6 2.0634 1.3051 0.0000 4 6 2.0636 -1.3051 0.0006 5 1 1.3586 -2.1317 -0.0886 6 6 2.8465 -1.4413 1.3080 7 6 3.5009 -2.7977 1.3626 8 8 3.3551 -3.5786 0.4462 9 7 4.2482 -3.1429 2.4297 10 6 4.8849 -4.4613 2.4825 11 6 5.6677 -4.5976 3.7900 12 6 4.7124 -4.4476 4.9757 13 6 6.3396 -5.9744 3.8434 14 7 7.2328 -6.0108 5.0132 15 6 7.1745 -7.0402 5.9142 16 1 7.4874 -6.8822 6.9358 17 6 6.7132 -8.2870 5.5146 18 7 6.6475 -8.5851 4.2343 19 14 6.1855 -9.5418 6.7940 20 1 5.0683 -8.9872 7.5998 21 1 5.7362 -10.7831 6.1140 22 1 7.3321 -9.8522 7.6852 23 6 8.1903 -4.9067 5.1854 24 6 7.4283 -3.5818 5.0666 25 8 6.6712 -3.5814 3.8539 26 8 2.9710 -1.3316 -1.1030 27 6 2.4140 -1.8775 -2.3005 28 6 3.4680 -1.8557 -3.4092 29 1 -0.5400 -0.9354 -0.0004 30 1 -0.5400 0.9353 -0.0004 31 1 2.2452 1.6198 -1.0277 32 1 1.4743 2.0647 0.5138 33 1 3.0158 1.1748 0.5138 34 1 2.1656 -1.3322 2.1522 35 1 3.6116 -0.6665 1.3558 36 1 4.3645 -2.5184 3.1628 37 1 5.5655 -4.5701 1.6381 38 1 4.1200 -5.2363 2.4349 39 1 4.2385 -3.4667 4.9387 40 1 3.9475 -5.2227 4.9263 41 1 5.2704 -4.5466 5.9068 42 1 5.5798 -6.7503 3.9378 43 1 6.9188 -6.1358 2.9342 44 1 6.3248 -9.4562 3.9551 45 1 8.9558 -4.9606 4.4114 46 1 8.6567 -4.9752 6.1682 47 1 6.7546 -3.4719 5.9165 48 1 8.1372 -2.7540 5.0545 49 1 2.0982 -2.9048 -2.1189 50 1 1.5539 -1.2815 -2.6056 51 1 4.3285 -2.4514 -3.1043 52 1 3.0434 -2.2725 -4.3225 53 1 3.7835 -0.8283 -3.5907 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 ZINC001107979705.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 06:11:29 Heat of formation + Delta-G solvation = -91.191853 kcal Electronic energy + Delta-G solvation = -31155.030152 eV Core-core repulsion = 27028.113517 eV Total energy + Delta-G solvation = -4126.916634 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.31 seconds Orbital eigenvalues (eV) -39.95965 -39.05904 -38.10272 -35.35510 -34.85808 -34.29455 -32.08776 -31.51022 -31.25476 -30.05297 -27.94895 -27.63416 -26.49774 -25.68334 -23.71862 -23.21913 -22.79574 -21.21197 -20.16780 -19.03778 -18.67843 -17.21459 -16.99545 -16.83970 -15.98380 -15.76493 -15.47187 -15.14594 -14.97896 -14.52684 -14.29349 -14.22877 -14.01192 -13.90102 -13.57448 -13.42882 -13.32045 -13.02062 -12.88693 -12.67173 -12.45395 -12.38166 -12.05955 -11.92831 -11.69095 -11.68650 -11.57739 -11.20549 -11.18577 -11.00836 -10.91550 -10.80816 -10.68208 -10.31778 -10.27543 -9.98894 -9.71821 -9.59679 -9.52781 -9.40084 -9.03459 -8.73997 -8.54243 -6.74799 -5.85057 -3.28424 1.84787 2.87445 3.32890 3.37382 3.40513 3.40769 3.66551 4.25462 4.43002 4.47704 4.66533 4.79645 4.98002 5.04128 5.16008 5.18592 5.24284 5.31196 5.33657 5.34435 5.39294 5.45424 5.49929 5.53033 5.57040 5.66658 5.68930 5.73185 5.76588 5.90919 5.91945 5.94329 6.04472 6.06776 6.11503 6.15338 6.26679 6.33167 6.46773 6.47231 6.59552 6.71716 6.78101 6.82484 7.07162 7.21072 7.46673 7.69516 7.75830 7.88894 8.32234 8.46801 9.10007 9.73243 10.30689 11.22902 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.017033 B = 0.002404 C = 0.002339 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1643.462988 B =11645.202894 C =11970.201882 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.188 4.188 2 C -0.145 4.145 3 C -0.112 4.112 4 C 0.143 3.857 5 H 0.073 0.927 6 C -0.137 4.137 7 C 0.512 3.488 8 O -0.538 6.538 9 N -0.719 5.719 10 C 0.141 3.859 11 C 0.078 3.922 12 C -0.161 4.161 13 C 0.160 3.840 14 N -0.591 5.591 15 C -0.255 4.255 16 H 0.068 0.932 17 C 0.004 3.996 18 N -0.902 5.902 19 Si 0.903 3.097 20 H -0.284 1.284 21 H -0.290 1.290 22 H -0.282 1.282 23 C 0.109 3.891 24 C 0.046 3.954 25 O -0.384 6.384 26 O -0.365 6.365 27 C 0.064 3.936 28 C -0.149 4.149 29 H 0.098 0.902 30 H 0.101 0.899 31 H 0.067 0.933 32 H 0.060 0.940 33 H 0.066 0.934 34 H 0.103 0.897 35 H 0.102 0.898 36 H 0.401 0.599 37 H 0.072 0.928 38 H 0.079 0.921 39 H 0.042 0.958 40 H 0.061 0.939 41 H 0.072 0.928 42 H 0.096 0.904 43 H 0.029 0.971 44 H 0.256 0.744 45 H 0.025 0.975 46 H 0.061 0.939 47 H 0.048 0.952 48 H 0.080 0.920 49 H 0.053 0.947 50 H 0.040 0.960 51 H 0.065 0.935 52 H 0.067 0.933 53 H 0.058 0.942 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -10.456 18.555 -7.160 22.470 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 -0.224 4.224 2 C -0.145 4.145 3 C -0.169 4.169 4 C 0.085 3.915 5 H 0.091 0.909 6 C -0.177 4.177 7 C 0.298 3.702 8 O -0.415 6.415 9 N -0.371 5.371 10 C 0.017 3.983 11 C 0.037 3.963 12 C -0.219 4.219 13 C 0.033 3.967 14 N -0.314 5.314 15 C -0.384 4.384 16 H 0.085 0.915 17 C -0.195 4.195 18 N -0.545 5.545 19 Si 0.733 3.267 20 H -0.210 1.210 21 H -0.215 1.215 22 H -0.208 1.208 23 C -0.017 4.017 24 C -0.032 4.032 25 O -0.303 6.303 26 O -0.284 6.284 27 C -0.013 4.013 28 C -0.206 4.206 29 H 0.116 0.884 30 H 0.119 0.881 31 H 0.086 0.914 32 H 0.079 0.921 33 H 0.085 0.915 34 H 0.122 0.878 35 H 0.120 0.880 36 H 0.235 0.765 37 H 0.090 0.910 38 H 0.097 0.903 39 H 0.061 0.939 40 H 0.080 0.920 41 H 0.091 0.909 42 H 0.114 0.886 43 H 0.047 0.953 44 H 0.066 0.934 45 H 0.043 0.957 46 H 0.079 0.921 47 H 0.066 0.934 48 H 0.098 0.902 49 H 0.071 0.929 50 H 0.058 0.942 51 H 0.084 0.916 52 H 0.086 0.914 53 H 0.077 0.923 Dipole moment (debyes) X Y Z Total from point charges -10.359 17.978 -8.022 22.245 hybrid contribution -0.439 -0.703 1.230 1.483 sum -10.797 17.274 -6.793 21.474 Atomic orbital electron populations 1.23770 0.95070 1.02094 1.01507 1.22333 0.95511 0.96774 0.99924 1.20749 1.00175 0.93709 1.02276 1.20716 0.90860 0.93487 0.86461 0.90937 1.21789 1.01344 0.96465 0.98125 1.20397 0.79089 0.88694 0.82028 1.90690 1.61496 1.52740 1.36603 1.45975 1.51185 1.18311 1.21640 1.21316 0.95695 0.84006 0.97248 1.22547 0.88126 0.92354 0.93246 1.22200 0.99491 1.00179 0.99986 1.21302 0.94290 0.91332 0.89755 1.44006 1.37210 1.22765 1.27451 1.19111 1.40877 0.88248 0.90177 0.91469 1.25038 1.01933 0.96681 0.95865 1.70003 1.49272 1.21725 1.13548 0.86361 0.78811 0.80707 0.80846 1.20998 1.21541 1.20848 1.21597 0.92273 0.88356 0.99521 1.23029 0.94385 0.98644 0.87127 1.87817 1.49530 1.53923 1.39045 1.87913 1.38171 1.83198 1.19158 1.22404 0.96047 0.97572 0.85280 1.21710 0.99645 1.02515 0.96749 0.88403 0.88116 0.91381 0.92122 0.91524 0.87846 0.87998 0.76454 0.90992 0.90281 0.93936 0.91959 0.90869 0.88591 0.95286 0.93365 0.95669 0.92081 0.93421 0.90204 0.92902 0.94177 0.91620 0.91428 0.92279 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -0.19 -1.47 13.91 29.02 0.40 -1.06 16 2 C -0.14 -1.30 5.05 -101.06 -0.51 -1.81 16 3 C -0.11 -0.88 9.84 36.00 0.35 -0.53 16 4 C 0.14 1.59 1.86 -27.88 -0.05 1.54 16 5 H 0.07 0.86 7.25 -51.93 -0.38 0.48 16 6 C -0.14 -1.45 5.22 -27.89 -0.15 -1.60 16 7 C 0.51 7.46 7.71 -10.99 -0.08 7.38 16 8 O -0.54 -9.81 15.42 -8.85 -0.14 -9.95 16 9 N -0.72 -10.32 5.15 -60.29 -0.31 -10.63 16 10 C 0.14 2.45 4.82 -4.04 -0.02 2.43 16 11 C 0.08 1.45 0.76 -90.47 -0.07 1.38 16 12 C -0.16 -2.73 7.92 37.16 0.29 -2.44 16 13 C 0.16 3.73 4.12 -3.49 -0.01 3.71 16 14 N -0.59 -14.36 2.57 -171.76 -0.44 -14.81 16 15 C -0.25 -6.76 9.65 -15.06 -0.15 -6.91 16 16 H 0.07 1.74 7.88 -52.49 -0.41 1.33 16 17 C 0.00 0.10 4.95 -17.43 -0.09 0.02 16 18 N -0.90 -25.68 11.14 55.49 0.62 -25.06 16 19 Si 0.90 21.22 29.59 -169.99 -5.03 16.20 16 20 H -0.28 -6.57 7.11 56.52 0.40 -6.16 16 21 H -0.29 -6.90 7.11 56.52 0.40 -6.49 16 22 H -0.28 -6.57 7.11 56.52 0.40 -6.17 16 23 C 0.11 2.23 6.73 -3.53 -0.02 2.21 16 24 C 0.05 0.79 6.60 37.31 0.25 1.04 16 25 O -0.38 -7.05 9.97 -35.23 -0.35 -7.40 16 26 O -0.37 -4.76 9.07 -49.64 -0.45 -5.21 16 27 C 0.06 0.72 6.46 37.15 0.24 0.96 16 28 C -0.15 -1.50 10.28 37.15 0.38 -1.12 16 29 H 0.10 0.73 7.84 -52.48 -0.41 0.32 16 30 H 0.10 0.65 8.04 -52.49 -0.42 0.23 16 31 H 0.07 0.54 8.14 -51.93 -0.42 0.12 16 32 H 0.06 0.39 8.06 -51.93 -0.42 -0.03 16 33 H 0.07 0.53 7.02 -51.93 -0.36 0.16 16 34 H 0.10 0.85 8.14 -51.93 -0.42 0.42 16 35 H 0.10 0.98 7.19 -51.93 -0.37 0.60 16 36 H 0.40 4.98 7.20 -40.82 -0.29 4.69 16 37 H 0.07 1.37 8.14 -51.93 -0.42 0.95 16 38 H 0.08 1.41 8.14 -51.93 -0.42 0.98 16 39 H 0.04 0.59 6.87 -51.93 -0.36 0.24 16 40 H 0.06 1.08 8.14 -51.93 -0.42 0.66 16 41 H 0.07 1.36 6.12 -51.93 -0.32 1.04 16 42 H 0.10 2.47 6.14 -51.93 -0.32 2.15 16 43 H 0.03 0.75 8.14 -51.93 -0.42 0.32 16 44 H 0.26 7.10 8.31 -40.82 -0.34 6.76 16 45 H 0.03 0.54 8.14 -51.93 -0.42 0.12 16 46 H 0.06 1.18 7.96 -51.93 -0.41 0.77 16 47 H 0.05 0.79 6.25 -51.93 -0.32 0.47 16 48 H 0.08 1.15 8.14 -51.93 -0.42 0.73 16 49 H 0.05 0.65 8.08 -51.93 -0.42 0.23 16 50 H 0.04 0.39 8.14 -51.93 -0.42 -0.03 16 51 H 0.06 0.75 8.14 -51.93 -0.42 0.33 16 52 H 0.07 0.55 8.14 -51.93 -0.42 0.12 16 53 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 LS Contribution 418.02 15.07 6.30 6.30 Total: -1.00 -31.41 418.02 -8.47 -39.88 By element: Atomic # 1 Polarization: 14.91 SS G_CDS: -9.43 Total: 5.47 kcal Atomic # 6 Polarization: 4.44 SS G_CDS: 0.77 Total: 5.21 kcal Atomic # 7 Polarization: -50.37 SS G_CDS: -0.13 Total: -50.50 kcal Atomic # 8 Polarization: -21.62 SS G_CDS: -0.94 Total: -22.56 kcal Atomic # 14 Polarization: 21.22 SS G_CDS: -5.03 Total: 16.20 kcal Total LS contribution 6.30 Total: 6.30 kcal Total: -31.41 -8.47 -39.88 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. ZINC001107979705.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 -51.316 kcal (2) G-P(sol) polarization free energy of solvation -31.411 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -82.727 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.465 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.876 kcal (6) G-S(sol) free energy of system = (1) + (5) -91.192 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.31 seconds