Wall clock time and date at job start Tue Mar 31 2020 17:35:57 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 1.17398 * 1 3 3 C 1.47200 * 179.97438 * 2 1 4 4 N 1.46498 * 109.46986 * 154.43292 * 3 2 1 5 5 C 1.34778 * 119.99717 * 84.26477 * 4 3 2 6 6 O 1.21277 * 120.00240 * 5.19125 * 5 4 3 7 7 C 1.50693 * 120.00038 * 185.18498 * 5 4 3 8 8 H 1.09006 * 109.47570 * 305.85702 * 7 5 4 9 9 C 1.53002 * 109.47049 * 65.85238 * 7 5 4 10 10 C 1.52994 * 109.47078 * 59.99875 * 9 7 5 11 11 C 1.53006 * 109.47097 * 60.00290 * 10 9 7 12 12 C 1.53002 * 109.46919 * 299.99807 * 11 10 9 13 13 H 1.08996 * 109.47008 * 300.00051 * 12 11 10 14 14 C 1.52997 * 109.46856 * 179.97438 * 12 11 10 15 15 C 1.52997 * 109.47502 * 185.85100 * 7 5 4 16 16 C 1.46497 * 120.00315 * 264.26448 * 4 3 2 17 17 C 1.53037 * 109.45979 * 54.64390 * 16 4 3 18 18 C 1.53188 * 109.31390 * 178.60542 * 17 16 4 19 19 N 1.46928 * 108.77040 * 54.65319 * 18 17 16 20 20 C 1.36933 * 120.63209 * 126.40376 * 19 18 17 21 21 H 1.08003 * 120.00194 * 328.36802 * 20 19 18 22 22 C 1.38810 * 119.99796 * 148.36202 * 20 19 18 23 23 N 1.31626 * 120.00322 * 348.57529 * 22 20 19 24 24 Si 1.86802 * 119.99916 * 168.57690 * 22 20 19 25 25 H 1.48502 * 109.47409 * 90.00155 * 24 22 20 26 26 H 1.48505 * 109.46938 * 210.00266 * 24 22 20 27 27 H 1.48497 * 109.47045 * 329.99486 * 24 22 20 28 28 C 1.46931 * 118.73614 * 306.38844 * 19 18 17 29 29 C 1.53044 * 109.45870 * 294.59118 * 16 4 3 30 30 H 4.40639 * 5.51466 * 180.02562 * 4 1 2 31 31 H 1.09008 * 109.46783 * 34.43402 * 3 2 1 32 32 H 1.09002 * 109.47172 * 274.43802 * 3 2 1 33 33 H 1.09004 * 109.47567 * 180.02562 * 9 7 5 34 34 H 1.09004 * 109.46941 * 300.00182 * 9 7 5 35 35 H 1.09004 * 109.47182 * 179.97438 * 10 9 7 36 36 H 1.08998 * 109.47611 * 300.00385 * 10 9 7 37 37 H 1.09000 * 109.46976 * 180.02562 * 11 10 9 38 38 H 1.09004 * 109.46834 * 60.00051 * 11 10 9 39 39 H 1.09002 * 109.47540 * 300.00385 * 14 12 11 40 40 H 1.09000 * 109.46843 * 60.00586 * 14 12 11 41 41 H 1.08996 * 109.46989 * 180.02562 * 14 12 11 42 42 H 1.09002 * 109.47540 * 180.02562 * 15 7 5 43 43 H 1.08999 * 109.47193 * 60.00575 * 15 7 5 44 44 H 1.08997 * 109.46409 * 174.61866 * 16 4 3 45 45 H 1.09009 * 109.49787 * 298.56527 * 17 16 4 46 46 H 1.08999 * 109.49987 * 58.66160 * 17 16 4 47 47 H 1.09005 * 109.59689 * 294.86294 * 18 17 16 48 48 H 1.08999 * 109.70780 * 174.50905 * 18 17 16 49 49 H 0.97001 * 120.00136 * 180.02562 * 23 22 20 50 50 H 1.08993 * 109.58658 * 293.81995 * 28 19 18 51 51 H 1.08997 * 109.58325 * 173.39567 * 28 19 18 52 52 H 1.09000 * 109.49765 * 301.33709 * 29 16 4 53 53 H 1.08998 * 109.49984 * 61.40151 * 29 16 4 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 3.1337 1.2468 -0.5961 5 6 3.2478 2.3563 0.1606 6 8 3.0374 2.3009 1.3537 7 6 3.6371 3.6656 -0.4757 8 1 4.5654 3.5373 -1.0325 9 6 2.5293 4.1186 -1.4289 10 6 1.2263 4.2988 -0.6475 11 6 1.4262 5.3554 0.4409 12 6 2.5340 4.9023 1.3941 13 1 2.2525 3.9553 1.8543 14 6 2.7343 5.9592 2.4821 15 6 3.8370 4.7222 0.6126 16 6 3.4974 1.2871 -2.0146 17 6 2.3185 0.7951 -2.8574 18 6 2.6900 0.8715 -4.3416 19 7 3.9375 0.1254 -4.5557 20 6 4.0071 -0.8599 -5.5041 21 1 3.1321 -1.4489 -5.7362 22 6 5.2024 -1.1017 -6.1672 23 7 6.2007 -0.2512 -6.0555 24 14 5.3940 -2.6341 -7.2182 25 1 4.9697 -2.3363 -8.6098 26 1 6.8162 -3.0617 -7.2150 27 1 4.5487 -3.7225 -6.6650 28 6 5.1090 0.4570 -3.7332 29 6 4.7103 0.3854 -2.2558 30 1 -1.0502 -0.0002 0.0003 31 1 3.0097 -0.8469 -0.5812 32 1 3.0094 -0.0787 1.0246 33 1 2.8110 5.0655 -1.8896 34 1 2.3869 3.3659 -2.2043 35 1 0.4372 4.6219 -1.3265 36 1 0.9448 3.3517 -0.1872 37 1 0.4980 5.4833 0.9978 38 1 1.7077 6.3024 -0.0195 39 1 3.0160 6.9061 2.0215 40 1 1.8061 6.0879 3.0388 41 1 3.5238 5.6367 3.1609 42 1 4.1181 5.6694 0.1523 43 1 4.6262 4.3995 1.2917 44 1 3.7438 2.3105 -2.2974 45 1 2.0877 -0.2369 -2.5926 46 1 1.4483 1.4233 -2.6675 47 1 2.8330 1.9130 -4.6295 48 1 1.8938 0.4324 -4.9428 49 1 7.0359 -0.4200 -6.5192 50 1 5.4493 1.4646 -3.9714 51 1 5.9082 -0.2572 -3.9311 52 1 5.5425 0.7221 -1.6377 53 1 4.4568 -0.6424 -1.9963 RHF calculation, no. of doubly occupied orbitals= 64 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 ZINC001699784758.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 17:35:57 Heat of formation + Delta-G solvation = 24.402704 kcal Electronic energy + Delta-G solvation = -31002.949859 eV Core-core repulsion = 27261.957884 eV Total energy + Delta-G solvation = -3740.991975 eV No. of doubly occupied orbitals = 64 Molecular weight (most abundant/longest-lived isotopes) = 332.221 amu Computer time = 1.10 seconds Orbital eigenvalues (eV) -40.88456 -38.29055 -37.17835 -35.31642 -33.45918 -32.62112 -31.98437 -30.98658 -30.15910 -29.56702 -27.43565 -26.32497 -25.15043 -23.19652 -22.29600 -22.26406 -21.50438 -20.44465 -19.31525 -18.89707 -17.85451 -16.92988 -16.54331 -15.91478 -15.51902 -15.14851 -14.86757 -14.43897 -14.20940 -14.07943 -13.89285 -13.62356 -13.49274 -13.16396 -13.12321 -12.77270 -12.74135 -12.57677 -12.36788 -12.10179 -12.01530 -11.75927 -11.56085 -11.48807 -11.12474 -10.97111 -10.88899 -10.78720 -10.66028 -10.53912 -10.36450 -10.25756 -10.15220 -10.07105 -10.03942 -10.00232 -9.84148 -9.69809 -9.14919 -8.62556 -8.42044 -6.69462 -5.85091 -3.32685 2.53270 2.80025 2.97261 3.33367 3.40712 3.42266 3.53557 4.43860 4.45020 4.54941 4.67283 4.68650 4.91252 5.04905 5.14164 5.16657 5.33655 5.36225 5.38933 5.42178 5.43933 5.50168 5.50990 5.58534 5.63762 5.67194 5.68386 5.79756 5.82508 5.89485 5.95207 5.97044 6.00249 6.03593 6.14199 6.20294 6.22084 6.26063 6.30599 6.35924 6.42701 6.46765 6.55886 6.61147 6.70325 6.77083 6.89625 7.27102 7.53990 7.62254 7.71641 7.74156 8.33434 8.41478 9.15933 9.77008 10.34703 11.23422 Molecular weight = 332.22amu Principal moments of inertia in cm(-1) A = 0.018113 B = 0.003362 C = 0.003161 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1545.503132 B = 8327.603023 C = 8856.570312 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.204 4.204 2 C -0.186 4.186 3 C 0.221 3.779 4 N -0.601 5.601 5 C 0.526 3.474 6 O -0.541 6.541 7 C -0.109 4.109 8 H 0.096 0.904 9 C -0.118 4.118 10 C -0.120 4.120 11 C -0.111 4.111 12 C -0.110 4.110 13 H 0.106 0.894 14 C -0.142 4.142 15 C -0.090 4.090 16 C 0.136 3.864 17 C -0.138 4.138 18 C 0.148 3.852 19 N -0.591 5.591 20 C -0.254 4.254 21 H 0.064 0.936 22 C 0.006 3.994 23 N -0.904 5.904 24 Si 0.903 3.097 25 H -0.286 1.286 26 H -0.289 1.289 27 H -0.279 1.279 28 C 0.175 3.825 29 C -0.151 4.151 30 H 0.213 0.787 31 H 0.104 0.896 32 H 0.099 0.901 33 H 0.073 0.927 34 H 0.078 0.922 35 H 0.061 0.939 36 H 0.061 0.939 37 H 0.056 0.944 38 H 0.057 0.943 39 H 0.047 0.953 40 H 0.049 0.951 41 H 0.052 0.948 42 H 0.065 0.935 43 H 0.065 0.935 44 H 0.095 0.905 45 H 0.063 0.937 46 H 0.053 0.947 47 H 0.019 0.981 48 H 0.057 0.943 49 H 0.255 0.745 50 H 0.020 0.980 51 H 0.091 0.909 52 H 0.053 0.947 53 H 0.059 0.941 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -7.329 8.942 12.745 17.208 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 -0.222 4.222 2 C -0.187 4.187 3 C 0.099 3.901 4 N -0.332 5.332 5 C 0.316 3.684 6 O -0.419 6.419 7 C -0.130 4.130 8 H 0.114 0.886 9 C -0.155 4.155 10 C -0.157 4.157 11 C -0.148 4.148 12 C -0.128 4.128 13 H 0.123 0.877 14 C -0.200 4.200 15 C -0.128 4.128 16 C 0.034 3.966 17 C -0.178 4.178 18 C 0.021 3.979 19 N -0.314 5.314 20 C -0.384 4.384 21 H 0.081 0.919 22 C -0.193 4.193 23 N -0.548 5.548 24 Si 0.733 3.267 25 H -0.213 1.213 26 H -0.216 1.216 27 H -0.205 1.205 28 C 0.049 3.951 29 C -0.192 4.192 30 H 0.230 0.770 31 H 0.122 0.878 32 H 0.117 0.883 33 H 0.092 0.908 34 H 0.097 0.903 35 H 0.080 0.920 36 H 0.079 0.921 37 H 0.075 0.925 38 H 0.076 0.924 39 H 0.066 0.934 40 H 0.068 0.932 41 H 0.071 0.929 42 H 0.083 0.917 43 H 0.083 0.917 44 H 0.112 0.888 45 H 0.082 0.918 46 H 0.072 0.928 47 H 0.036 0.964 48 H 0.075 0.925 49 H 0.065 0.935 50 H 0.038 0.962 51 H 0.109 0.891 52 H 0.071 0.929 53 H 0.078 0.922 Dipole moment (debyes) X Y Z Total from point charges -7.232 8.899 13.278 17.544 hybrid contribution -0.045 -0.826 -0.731 1.104 sum -7.277 8.073 12.547 16.600 Atomic orbital electron populations 1.24803 0.95804 0.99824 1.01776 1.23561 0.94878 1.00663 0.99613 1.18195 0.83574 0.87950 1.00414 1.48304 1.64285 1.09422 1.11214 1.20642 0.76019 0.85185 0.86599 1.90550 1.50947 1.85225 1.15148 1.21360 1.00624 0.92853 0.98184 0.88570 1.21712 0.94073 1.02390 0.97347 1.21526 0.97036 0.99634 0.97516 1.21581 0.98488 0.98138 0.96637 1.21498 0.94626 1.01088 0.95590 0.87666 1.21782 1.01152 0.98504 0.98527 1.21360 0.98153 0.97053 0.96190 1.21516 0.95899 1.01308 0.77841 1.22393 0.96137 1.01150 0.98142 1.20885 0.90385 0.95019 0.91649 1.44026 1.07253 1.40108 1.39994 1.19143 0.97041 1.08762 1.13463 0.91864 1.25154 0.97868 0.98275 0.97963 1.69965 1.04560 1.34962 1.45298 0.86292 0.77038 0.82929 0.80456 1.21325 1.21553 1.20457 1.20755 0.90865 0.99584 0.83906 1.22665 0.95798 0.99064 1.01624 0.76973 0.87814 0.88303 0.90816 0.90334 0.91980 0.92063 0.92534 0.92434 0.93356 0.93185 0.92928 0.91673 0.91670 0.88766 0.91826 0.92822 0.96357 0.92491 0.93540 0.96161 0.89112 0.92852 0.92217 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -2.62 19.25 29.55 0.57 -2.05 16 2 C -0.19 -2.66 12.62 -37.12 -0.47 -3.13 16 3 C 0.22 3.09 5.07 -6.83 -0.03 3.05 16 4 N -0.60 -8.62 2.36 -169.38 -0.40 -9.02 16 5 C 0.53 7.65 5.48 -10.99 -0.06 7.59 16 6 O -0.54 -9.00 13.11 5.56 0.07 -8.92 16 7 C -0.11 -1.34 2.15 -91.78 -0.20 -1.54 16 8 H 0.10 1.15 7.34 -51.93 -0.38 0.77 16 9 C -0.12 -1.36 5.04 -26.73 -0.13 -1.49 16 10 C -0.12 -1.38 5.70 -26.73 -0.15 -1.53 16 11 C -0.11 -1.18 5.20 -26.73 -0.14 -1.32 16 12 C -0.11 -1.28 2.43 -90.62 -0.22 -1.50 16 13 H 0.11 1.53 5.30 -51.93 -0.28 1.25 16 14 C -0.14 -1.42 9.19 37.16 0.34 -1.08 16 15 C -0.09 -1.03 4.41 -26.73 -0.12 -1.15 16 16 C 0.14 2.08 1.53 -67.89 -0.10 1.97 16 17 C -0.14 -2.23 4.39 -26.62 -0.12 -2.35 16 18 C 0.15 2.86 6.52 -3.71 -0.02 2.84 16 19 N -0.59 -13.80 2.98 -172.32 -0.51 -14.32 16 20 C -0.25 -6.66 9.57 -15.06 -0.14 -6.80 16 21 H 0.06 1.64 7.85 -52.48 -0.41 1.23 16 22 C 0.01 0.17 5.03 -17.43 -0.09 0.08 16 23 N -0.90 -25.09 11.12 55.49 0.62 -24.47 16 24 Si 0.90 21.01 29.57 -169.99 -5.03 15.98 16 25 H -0.29 -6.69 7.11 56.52 0.40 -6.29 16 26 H -0.29 -6.79 7.11 56.52 0.40 -6.39 16 27 H -0.28 -6.39 7.11 56.52 0.40 -5.99 16 28 C 0.18 3.84 5.25 -3.71 -0.02 3.82 16 29 C -0.15 -2.62 5.41 -26.61 -0.14 -2.76 16 30 H 0.21 1.98 7.80 -54.08 -0.42 1.56 16 31 H 0.10 1.40 6.56 -51.92 -0.34 1.06 16 32 H 0.10 1.36 7.53 -51.93 -0.39 0.97 16 33 H 0.07 0.76 8.14 -51.93 -0.42 0.34 16 34 H 0.08 0.98 4.93 -51.93 -0.26 0.73 16 35 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 36 H 0.06 0.84 7.22 -51.93 -0.37 0.46 16 37 H 0.06 0.58 8.14 -51.93 -0.42 0.16 16 38 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 39 H 0.05 0.43 8.14 -51.93 -0.42 0.01 16 40 H 0.05 0.47 8.14 -51.93 -0.42 0.05 16 41 H 0.05 0.53 8.14 -51.93 -0.42 0.10 16 42 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 43 H 0.06 0.78 8.14 -51.93 -0.42 0.36 16 44 H 0.09 1.40 4.36 -51.93 -0.23 1.17 16 45 H 0.06 1.10 7.15 -51.92 -0.37 0.73 16 46 H 0.05 0.81 7.66 -51.93 -0.40 0.41 16 47 H 0.02 0.36 8.14 -51.93 -0.42 -0.07 16 48 H 0.06 1.11 7.93 -51.93 -0.41 0.70 16 49 H 0.25 6.87 8.31 -40.82 -0.34 6.53 16 50 H 0.02 0.46 8.14 -51.93 -0.42 0.04 16 51 H 0.09 2.28 6.15 -51.93 -0.32 1.96 16 52 H 0.05 0.86 8.14 -51.93 -0.42 0.43 16 53 H 0.06 1.06 6.97 -51.93 -0.36 0.70 16 LS Contribution 395.48 15.07 5.96 5.96 Total: -1.00 -28.87 395.48 -9.70 -38.56 By element: Atomic # 1 Polarization: 12.74 SS G_CDS: -9.15 Total: 3.59 kcal Atomic # 6 Polarization: -6.10 SS G_CDS: -1.26 Total: -7.35 kcal Atomic # 7 Polarization: -47.52 SS G_CDS: -0.30 Total: -47.82 kcal Atomic # 8 Polarization: -9.00 SS G_CDS: 0.07 Total: -8.92 kcal Atomic # 14 Polarization: 21.01 SS G_CDS: -5.03 Total: 15.98 kcal Total LS contribution 5.96 Total: 5.96 kcal Total: -28.87 -9.70 -38.56 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. ZINC001699784758.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 62.966 kcal (2) G-P(sol) polarization free energy of solvation -28.868 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 34.098 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.695 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.563 kcal (6) G-S(sol) free energy of system = (1) + (5) 24.403 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.10 seconds