Wall clock time and date at job start Wed Apr 1 2020 04:25:18 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 1.17397 * 1 3 3 C 1.47203 * 179.97438 * 2 1 4 4 N 1.46899 * 109.46818 * 230.73225 * 3 2 1 5 5 C 1.46853 * 110.99477 * 170.00396 * 4 3 2 6 6 C 1.53038 * 109.52148 * 185.84123 * 5 4 3 7 7 C 1.53123 * 109.27881 * 300.81983 * 6 5 4 8 8 C 1.50700 * 109.52378 * 177.55835 * 7 6 5 9 9 O 1.21283 * 119.99803 * 359.97438 * 8 7 6 10 10 N 1.34777 * 119.99675 * 180.27781 * 8 7 6 11 11 C 1.46497 * 119.99525 * 179.72583 * 10 8 7 12 12 H 1.08998 * 112.89218 * 336.34556 * 11 10 8 13 13 C 1.53955 * 113.66485 * 107.81233 * 11 10 8 14 14 C 1.53950 * 87.29825 * 89.73343 * 13 11 10 15 15 H 1.09000 * 113.66153 * 139.20036 * 14 13 11 16 16 N 1.46497 * 113.75112 * 270.25450 * 14 13 11 17 17 C 1.36932 * 120.00104 * 252.22930 * 16 14 13 18 18 H 1.08009 * 120.00169 * 359.97438 * 17 16 14 19 19 C 1.38816 * 120.00520 * 179.97438 * 17 16 14 20 20 N 1.31620 * 119.99352 * 359.97438 * 19 17 16 21 21 Si 1.86796 * 120.00243 * 179.97438 * 19 17 16 22 22 H 1.48498 * 109.47279 * 59.99570 * 21 19 17 23 23 H 1.48499 * 109.46913 * 180.02562 * 21 19 17 24 24 H 1.48504 * 109.46885 * 299.99628 * 21 19 17 25 25 C 1.52909 * 113.66115 * 204.99371 * 11 10 8 26 26 C 1.52912 * 121.13510 * 144.70591 * 25 11 10 27 27 C 1.53947 * 86.78509 * 209.38321 * 26 25 11 28 28 C 1.52916 * 121.13473 * 36.15070 * 25 11 10 29 29 C 1.53120 * 109.15993 * 57.65189 * 7 6 5 30 30 C 1.46840 * 111.00167 * 294.21091 * 4 3 2 31 31 H 4.40883 * 5.52242 * 180.02562 * 4 1 2 32 32 H 1.08998 * 109.46655 * 110.73718 * 3 2 1 33 33 H 1.09002 * 109.47442 * 350.73557 * 3 2 1 34 34 H 1.08996 * 109.46218 * 65.82499 * 5 4 3 35 35 H 1.09002 * 109.45731 * 305.84571 * 5 4 3 36 36 H 1.09000 * 109.50674 * 180.87805 * 6 5 4 37 37 H 1.09000 * 109.53748 * 60.77787 * 6 5 4 38 38 H 1.08997 * 109.52129 * 297.68605 * 7 6 5 39 39 H 0.97000 * 119.99894 * 359.71837 * 10 8 7 40 40 H 1.08991 * 113.58241 * 204.34163 * 13 11 10 41 41 H 1.09003 * 113.57379 * 335.13145 * 13 11 10 42 42 H 0.96998 * 120.00420 * 72.22251 * 16 14 13 43 43 H 0.97000 * 119.99675 * 179.97438 * 20 19 17 44 44 H 1.09004 * 113.66499 * 323.85857 * 26 25 11 45 45 H 1.08999 * 113.66010 * 94.91568 * 26 25 11 46 46 H 1.08999 * 113.58069 * 270.13638 * 27 26 25 47 47 H 1.08997 * 113.65513 * 139.34732 * 27 26 25 48 48 H 1.08999 * 113.65700 * 265.08473 * 28 25 11 49 49 H 1.08997 * 113.66089 * 36.05622 * 28 25 11 50 50 H 1.09002 * 109.50176 * 62.28639 * 29 7 6 51 51 H 1.08994 * 109.50532 * 182.40534 * 29 7 6 52 52 H 1.09000 * 109.46665 * 294.17456 * 30 4 3 53 53 H 1.08994 * 109.46259 * 54.15922 * 30 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 1.1740 0.0000 0.0000 3 6 2.6460 0.0007 0.0000 4 7 3.1352 0.8775 1.0723 5 6 4.5837 0.7231 1.2586 6 6 5.0328 1.5381 2.4735 7 6 4.6822 3.0119 2.2513 8 6 5.0678 3.8106 3.4697 9 8 5.5729 3.2566 4.4230 10 7 4.8456 5.1396 3.5023 11 6 5.2149 5.9150 4.6891 12 1 5.2651 5.3083 5.5932 13 6 6.4442 6.8178 4.4794 14 6 5.4681 7.9166 4.0212 15 1 5.7218 8.9096 4.3924 16 7 5.1933 7.8992 2.5824 17 6 5.7133 8.8745 1.7741 18 1 6.3258 9.6570 2.1974 19 6 5.4533 8.8578 0.4106 20 7 4.7074 7.9039 -0.1054 21 14 6.1622 10.1887 -0.6919 22 1 7.6446 10.1627 -0.6089 23 1 5.7400 9.9462 -2.0948 24 1 5.6647 11.5158 -0.2482 25 6 4.4062 7.2017 4.8575 26 6 4.0150 7.7138 6.2442 27 6 2.7767 8.3330 5.5710 28 6 2.9267 7.2614 4.4757 29 6 3.1752 3.1394 2.0116 30 6 2.7799 2.2780 0.8101 31 1 -1.0502 -0.0003 -0.0001 32 1 3.0091 0.3647 -0.9611 33 1 3.0099 -1.0134 0.1654 34 1 5.1042 1.0794 0.3697 35 1 4.8188 -0.3290 1.4200 36 1 6.1103 1.4357 2.6023 37 1 4.5234 1.1734 3.3656 38 1 5.2231 3.3881 1.3830 39 1 4.4412 5.5825 2.7399 40 1 6.9704 7.0594 5.4028 41 1 7.1109 6.4701 3.6903 42 1 4.6430 7.1967 2.2021 43 1 4.5254 7.8924 -1.0581 44 1 3.7770 6.9203 6.9526 45 1 4.7074 8.4517 6.6494 46 1 2.9381 9.3493 5.2116 47 1 1.8636 8.2320 6.1575 48 1 2.7499 7.6379 3.4682 49 1 2.3832 6.3402 4.6856 50 1 2.6361 2.7997 2.8960 51 1 2.9256 4.1812 1.8104 52 1 3.3090 2.6271 -0.0766 53 1 1.7052 2.3554 0.6458 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 ZINC001078819577.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 04:25:18 Heat of formation + Delta-G solvation = 76.070952 kcal Electronic energy + Delta-G solvation = -31544.575072 eV Core-core repulsion = 27612.171549 eV Total energy + Delta-G solvation = -3932.403523 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 345.216 amu Computer time = 1.31 seconds Orbital eigenvalues (eV) -40.67777 -39.62582 -38.13742 -35.25011 -34.56284 -33.66636 -32.53441 -31.84338 -30.79398 -29.86439 -27.49900 -25.45711 -24.82698 -24.13771 -23.76581 -23.19503 -22.30875 -20.63462 -20.05370 -19.53022 -18.28015 -18.12416 -17.05446 -16.77436 -16.06106 -15.69916 -15.33061 -15.15322 -14.98875 -14.75783 -14.57582 -14.25553 -14.03853 -13.74779 -13.39103 -13.05501 -13.03650 -12.88227 -12.80139 -12.44588 -12.09580 -12.06313 -11.88176 -11.49767 -11.43828 -11.34678 -11.19021 -10.93567 -10.88565 -10.77787 -10.66926 -10.56110 -10.44000 -10.26709 -10.24421 -10.06937 -9.79949 -9.72004 -9.40690 -9.27973 -8.91451 -8.50965 -8.42595 -7.09965 -5.90978 -3.19101 2.55664 2.71664 2.99291 3.37093 3.42029 3.42198 3.50477 3.89422 4.25044 4.45945 4.67125 4.77275 4.80602 4.88602 5.02985 5.07209 5.10442 5.18285 5.19507 5.25041 5.30095 5.34818 5.39060 5.42891 5.55437 5.61684 5.65513 5.72317 5.77940 5.81959 5.85223 5.90548 5.93701 6.00415 6.02058 6.03595 6.09165 6.17368 6.20376 6.30150 6.37345 6.39565 6.52928 6.63316 6.70134 6.81441 6.84974 6.92575 6.96916 7.14891 7.48831 7.61510 7.97726 8.28751 8.63234 9.39562 9.94003 10.28053 11.31684 Molecular weight = 345.22amu Principal moments of inertia in cm(-1) A = 0.008600 B = 0.003439 C = 0.002889 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3255.029567 B = 8140.490622 C = 9691.269527 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.201 4.201 2 C -0.177 4.177 3 C 0.161 3.839 4 N -0.537 5.537 5 C 0.056 3.944 6 C -0.092 4.092 7 C -0.110 4.110 8 C 0.522 3.478 9 O -0.554 6.554 10 N -0.696 5.696 11 C 0.138 3.862 12 H 0.089 0.911 13 C -0.186 4.186 14 C 0.191 3.809 15 H 0.065 0.935 16 N -0.699 5.699 17 C -0.242 4.242 18 H 0.072 0.928 19 C -0.009 4.009 20 N -0.934 5.934 21 Si 0.909 3.091 22 H -0.286 1.286 23 H -0.291 1.291 24 H -0.285 1.285 25 C -0.129 4.129 26 C -0.107 4.107 27 C -0.134 4.134 28 C -0.125 4.125 29 C -0.105 4.105 30 C 0.057 3.943 31 H 0.216 0.784 32 H 0.059 0.941 33 H 0.097 0.903 34 H 0.038 0.962 35 H 0.079 0.921 36 H 0.074 0.926 37 H 0.078 0.922 38 H 0.097 0.903 39 H 0.407 0.593 40 H 0.076 0.924 41 H 0.071 0.929 42 H 0.380 0.620 43 H 0.257 0.743 44 H 0.078 0.922 45 H 0.067 0.933 46 H 0.080 0.920 47 H 0.059 0.941 48 H 0.079 0.921 49 H 0.071 0.929 50 H 0.074 0.926 51 H 0.079 0.921 52 H 0.042 0.958 53 H 0.079 0.921 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.260 -11.902 4.492 13.766 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 -0.219 4.219 2 C -0.178 4.178 3 C 0.034 3.966 4 N -0.261 5.261 5 C -0.071 4.071 6 C -0.131 4.131 7 C -0.131 4.131 8 C 0.309 3.691 9 O -0.432 6.432 10 N -0.348 5.348 11 C 0.032 3.968 12 H 0.108 0.892 13 C -0.228 4.228 14 C 0.079 3.921 15 H 0.083 0.917 16 N -0.338 5.338 17 C -0.373 4.373 18 H 0.090 0.910 19 C -0.205 4.205 20 N -0.582 5.582 21 Si 0.740 3.260 22 H -0.212 1.212 23 H -0.217 1.217 24 H -0.212 1.212 25 C -0.132 4.132 26 C -0.145 4.145 27 C -0.172 4.172 28 C -0.163 4.163 29 C -0.143 4.143 30 C -0.070 4.070 31 H 0.233 0.767 32 H 0.076 0.924 33 H 0.115 0.885 34 H 0.057 0.943 35 H 0.097 0.903 36 H 0.093 0.907 37 H 0.097 0.903 38 H 0.116 0.884 39 H 0.245 0.755 40 H 0.094 0.906 41 H 0.089 0.911 42 H 0.215 0.785 43 H 0.067 0.933 44 H 0.096 0.904 45 H 0.086 0.914 46 H 0.099 0.901 47 H 0.078 0.922 48 H 0.097 0.903 49 H 0.090 0.910 50 H 0.093 0.907 51 H 0.097 0.903 52 H 0.060 0.940 53 H 0.097 0.903 Dipole moment (debyes) X Y Z Total from point charges -5.029 -12.262 5.454 14.332 hybrid contribution 0.272 0.955 -1.979 2.214 sum -4.757 -11.307 3.475 12.750 Atomic orbital electron populations 1.24884 0.95893 1.00544 1.00571 1.22841 0.94198 1.00490 1.00258 1.18991 0.85222 0.98543 0.93805 1.61930 1.14346 1.06917 1.42956 1.22147 0.86367 1.00702 0.97905 1.21367 1.01540 0.92075 0.98077 1.21393 0.98104 0.96325 0.97294 1.20494 0.77731 0.82246 0.88639 1.90639 1.44484 1.70670 1.37426 1.45773 1.62546 1.07350 1.19106 1.21612 0.96088 0.90790 0.88318 0.89250 1.24268 0.97565 0.99755 1.01179 1.20873 0.90743 0.95380 0.85132 0.91667 1.42090 1.60086 1.31444 1.00220 1.19232 1.25181 1.03885 0.89004 0.90959 1.24705 1.00336 0.98668 0.96767 1.69607 1.42207 1.34099 1.12242 0.86246 0.78649 0.81338 0.79813 1.21240 1.21690 1.21210 1.23560 0.95162 0.96763 0.97676 1.22509 0.97653 0.99754 0.94562 1.22746 0.97310 0.99192 0.97920 1.22561 0.95302 0.98360 1.00073 1.21553 0.93615 1.00237 0.98912 1.22107 1.01200 0.86728 0.96983 0.76678 0.92365 0.88530 0.94339 0.90264 0.90689 0.90288 0.88447 0.75493 0.90551 0.91063 0.78491 0.93335 0.90364 0.91423 0.90125 0.92234 0.90262 0.90994 0.90711 0.90280 0.94013 0.90294 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -0.20 -1.97 19.25 29.55 0.57 -1.40 16 2 C -0.18 -1.94 12.34 -37.12 -0.46 -2.40 16 3 C 0.16 1.57 5.46 -6.61 -0.04 1.53 16 4 N -0.54 -6.04 4.63 -238.18 -1.10 -7.14 16 5 C 0.06 0.59 5.46 -3.83 -0.02 0.57 16 6 C -0.09 -1.16 4.68 -26.65 -0.12 -1.29 16 7 C -0.11 -1.54 2.59 -91.65 -0.24 -1.77 16 8 C 0.52 8.84 7.16 -10.98 -0.08 8.76 16 9 O -0.55 -10.80 15.58 5.55 0.09 -10.71 16 10 N -0.70 -11.86 4.83 -53.37 -0.26 -12.12 16 11 C 0.14 2.33 4.12 -67.48 -0.28 2.05 16 12 H 0.09 1.55 7.46 -51.93 -0.39 1.16 16 13 C -0.19 -3.31 7.69 -25.75 -0.20 -3.51 16 14 C 0.19 3.63 4.36 -67.48 -0.29 3.33 16 15 H 0.07 1.25 8.10 -51.93 -0.42 0.83 16 16 N -0.70 -15.99 4.74 -52.99 -0.25 -16.24 16 17 C -0.24 -6.30 9.97 -15.06 -0.15 -6.45 16 18 H 0.07 1.85 7.83 -52.48 -0.41 1.44 16 19 C -0.01 -0.23 5.50 -17.43 -0.10 -0.33 16 20 N -0.93 -25.93 13.06 55.49 0.72 -25.20 16 21 Si 0.91 21.43 29.55 -169.99 -5.02 16.41 16 22 H -0.29 -6.71 7.11 56.52 0.40 -6.31 16 23 H -0.29 -6.95 7.11 56.52 0.40 -6.55 16 24 H -0.29 -6.67 7.11 56.52 0.40 -6.27 16 25 C -0.13 -2.05 0.78 -154.71 -0.12 -2.18 16 26 C -0.11 -1.43 7.84 -26.28 -0.21 -1.63 16 27 C -0.13 -1.84 8.08 -25.75 -0.21 -2.05 16 28 C -0.13 -1.95 7.27 -26.27 -0.19 -2.14 16 29 C -0.11 -1.36 5.25 -26.65 -0.14 -1.50 16 30 C 0.06 0.69 5.30 -3.84 -0.02 0.67 16 31 H 0.22 1.39 7.80 -54.08 -0.42 0.97 16 32 H 0.06 0.53 8.12 -51.93 -0.42 0.10 16 33 H 0.10 0.78 7.99 -51.93 -0.41 0.36 16 34 H 0.04 0.39 8.14 -51.93 -0.42 -0.03 16 35 H 0.08 0.70 8.02 -51.93 -0.42 0.28 16 36 H 0.07 0.95 8.14 -51.93 -0.42 0.53 16 37 H 0.08 1.09 8.04 -51.93 -0.42 0.67 16 38 H 0.10 1.39 8.14 -51.93 -0.42 0.97 16 39 H 0.41 7.29 5.62 -40.82 -0.23 7.06 16 40 H 0.08 1.20 8.14 -51.93 -0.42 0.78 16 41 H 0.07 1.44 8.14 -51.93 -0.42 1.02 16 42 H 0.38 8.89 5.14 -40.82 -0.21 8.68 16 43 H 0.26 7.01 8.31 -40.82 -0.34 6.67 16 44 H 0.08 0.96 8.14 -51.93 -0.42 0.54 16 45 H 0.07 0.85 8.14 -51.93 -0.42 0.43 16 46 H 0.08 1.16 8.14 -51.93 -0.42 0.74 16 47 H 0.06 0.72 8.14 -51.93 -0.42 0.29 16 48 H 0.08 1.43 7.58 -51.93 -0.39 1.04 16 49 H 0.07 1.06 8.14 -51.93 -0.42 0.63 16 50 H 0.07 1.00 8.14 -51.93 -0.42 0.58 16 51 H 0.08 1.06 7.65 -51.93 -0.40 0.67 16 52 H 0.04 0.51 8.14 -51.93 -0.42 0.09 16 53 H 0.08 0.96 7.11 -51.93 -0.37 0.59 16 LS Contribution 419.30 15.07 6.32 6.32 Total: -1.00 -29.53 419.30 -10.92 -40.45 By element: Atomic # 1 Polarization: 27.09 SS G_CDS: -9.12 Total: 17.97 kcal Atomic # 6 Polarization: -7.44 SS G_CDS: -2.29 Total: -9.73 kcal Atomic # 7 Polarization: -59.82 SS G_CDS: -0.89 Total: -60.71 kcal Atomic # 8 Polarization: -10.80 SS G_CDS: 0.09 Total: -10.71 kcal Atomic # 14 Polarization: 21.43 SS G_CDS: -5.02 Total: 16.41 kcal Total LS contribution 6.32 Total: 6.32 kcal Total: -29.53 -10.92 -40.45 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. ZINC001078819577.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 116.518 kcal (2) G-P(sol) polarization free energy of solvation -29.532 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 86.986 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.915 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.447 kcal (6) G-S(sol) free energy of system = (1) + (5) 76.071 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.31 seconds