Wall clock time and date at job start Tue Mar 31 2020 21:31:46 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 1.53000 * 1 3 3 H 1.09001 * 109.51023 * 2 1 4 4 C 1.53292 * 109.50753 * 120.09051 * 2 1 3 5 5 N 1.47154 * 108.56079 * 172.95244 * 4 2 1 6 6 C 1.34783 * 121.07340 * 128.76116 * 5 4 2 7 7 O 1.21282 * 120.00280 * 175.31453 * 6 5 4 8 8 C 1.50706 * 119.99638 * 355.31153 * 6 5 4 9 9 C 1.53000 * 110.01354 * 64.23996 * 8 6 5 10 10 C 1.54266 * 110.03035 * 302.79589 * 8 6 5 11 11 C 1.54899 * 104.19209 * 217.10456 * 10 8 6 12 12 C 1.54893 * 102.74621 * 37.94480 * 11 10 8 13 13 C 1.53870 * 110.02963 * 185.62925 * 8 6 5 14 14 C 1.47337 * 117.85611 * 309.03504 * 5 4 2 15 15 C 1.51945 * 108.61601 * 48.88188 * 14 5 4 16 16 C 1.54359 * 110.49237 * 186.50472 * 15 14 5 17 17 C 1.54462 * 102.86821 * 207.76476 * 16 15 14 18 18 N 1.47084 * 107.30340 * 21.48170 * 17 16 15 19 19 C 1.36932 * 125.62784 * 181.03967 * 18 17 16 20 20 H 1.07998 * 120.00074 * 179.97438 * 19 18 17 21 21 C 1.38809 * 120.00337 * 359.95942 * 19 18 17 22 22 N 1.31617 * 119.99859 * 359.97438 * 21 19 18 23 23 Si 1.86802 * 120.00333 * 179.97438 * 21 19 18 24 24 H 1.48507 * 109.47060 * 89.99467 * 23 21 19 25 25 H 1.48492 * 109.47481 * 209.99619 * 23 21 19 26 26 H 1.48506 * 109.46969 * 330.00070 * 23 21 19 27 27 C 1.47570 * 108.74033 * 1.00184 * 18 17 16 28 28 O 1.41887 * 111.51933 * 310.15246 * 15 14 5 29 29 H 1.08997 * 109.47275 * 299.90699 * 1 2 3 30 30 H 1.09000 * 109.46953 * 59.90986 * 1 2 3 31 31 H 1.09007 * 109.46825 * 179.90524 * 1 2 3 32 32 H 1.08994 * 109.61954 * 53.23361 * 4 2 1 33 33 H 1.08999 * 109.77497 * 292.76889 * 4 2 1 34 34 H 1.08999 * 109.47519 * 65.83093 * 9 8 6 35 35 H 1.09000 * 109.46619 * 185.83194 * 9 8 6 36 36 H 1.09001 * 109.47430 * 305.82266 * 9 8 6 37 37 H 1.08996 * 110.48785 * 335.77960 * 10 8 6 38 38 H 1.08996 * 110.48611 * 98.43155 * 10 8 6 39 39 H 1.08995 * 110.75410 * 279.62870 * 11 10 8 40 40 H 1.08994 * 110.75153 * 156.26034 * 11 10 8 41 41 H 1.08994 * 110.48275 * 203.37920 * 12 11 10 42 42 H 1.08995 * 110.59849 * 80.79387 * 12 11 10 43 43 H 1.09005 * 110.03020 * 238.57236 * 13 8 6 44 44 H 1.09005 * 110.03588 * 359.95190 * 13 8 6 45 45 H 1.09001 * 109.67867 * 168.67496 * 14 5 4 46 46 H 1.08999 * 109.67765 * 289.22154 * 14 5 4 47 47 H 1.08992 * 110.73454 * 326.11116 * 16 15 14 48 48 H 1.08999 * 110.73018 * 89.42054 * 16 15 14 49 49 H 1.08996 * 109.88097 * 262.04923 * 17 16 15 50 50 H 1.09000 * 109.99905 * 140.97723 * 17 16 15 51 51 H 0.97009 * 120.00296 * 180.02562 * 22 21 19 52 52 H 1.08998 * 110.37405 * 217.85849 * 27 18 17 53 53 H 1.08998 * 110.46801 * 95.56398 * 27 18 17 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 1 1.8940 1.0274 0.0000 4 6 2.0419 -0.7244 1.2502 5 7 3.5033 -0.8621 1.1464 6 6 4.3119 -0.4733 2.1522 7 8 5.5060 -0.6732 2.0822 8 6 3.7320 0.2098 3.3640 9 6 2.7999 -0.7478 4.1091 10 6 2.9601 1.4757 2.9381 11 6 3.2549 2.4973 4.0645 12 6 4.7385 2.2112 4.4056 13 6 4.8627 0.6774 4.2969 14 6 4.0546 -1.4329 -0.0950 15 6 3.4228 -0.7203 -1.2789 16 6 3.8460 -1.3921 -2.6027 17 6 3.7675 -0.2309 -3.6182 18 7 3.8536 1.0239 -2.8556 19 6 3.8007 2.2851 -3.3862 20 1 3.8727 3.1467 -2.7390 21 6 3.6548 2.4563 -4.7559 22 7 3.5679 1.4063 -5.5448 23 14 3.5818 4.1768 -5.4798 24 1 4.9548 4.6292 -5.8202 25 1 2.7468 4.1624 -6.7075 26 1 2.9862 5.1067 -4.4868 27 6 4.0056 0.6991 -1.4241 28 8 2.0091 -0.6770 -1.1665 29 1 -0.3634 0.5124 0.8908 30 1 -0.3633 0.5152 -0.8892 31 1 -0.3633 -1.0277 -0.0017 32 1 1.5849 -1.7119 1.3139 33 1 1.7909 -0.1469 2.1398 34 1 3.3799 -1.5759 4.5165 35 1 2.3064 -0.2153 4.9220 36 1 2.0494 -1.1344 3.4196 37 1 3.3307 1.8449 1.9818 38 1 1.8914 1.2695 2.8803 39 1 2.6173 2.3134 4.9292 40 1 3.1316 3.5178 3.7023 41 1 4.9675 2.5417 5.4186 42 1 5.3979 2.6991 3.6879 43 1 4.7469 0.2228 5.2809 44 1 5.8308 0.4095 3.8738 45 1 5.1351 -1.2909 -0.1162 46 1 3.8227 -2.4968 -0.1443 47 1 4.8639 -1.7753 -2.5327 48 1 3.1507 -2.1873 -2.8713 49 1 2.8209 -0.2729 -4.1569 50 1 4.5974 -0.2944 -4.3220 51 1 3.4663 1.5258 -6.5021 52 1 3.4428 1.4048 -0.8130 53 1 5.0580 0.7082 -1.1408 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001071195476.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 21:31:46 Heat of formation + Delta-G solvation = -45.253627 kcal Electronic energy + Delta-G solvation = -32496.925197 eV Core-core repulsion = 28562.456646 eV Total energy + Delta-G solvation = -3934.468552 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.11 seconds Orbital eigenvalues (eV) -41.13983 -39.36511 -37.33671 -36.35736 -34.66353 -33.19458 -31.61470 -31.26946 -29.39448 -28.96383 -28.18337 -26.58807 -26.08501 -25.32649 -23.80675 -21.90281 -21.30624 -20.92552 -20.11675 -19.16350 -18.65673 -17.09315 -16.88285 -16.54148 -16.19505 -15.43178 -15.17050 -14.82845 -14.66631 -14.47219 -14.12635 -13.95429 -13.83421 -13.43491 -13.42204 -13.03394 -12.88379 -12.59114 -12.26621 -12.23676 -12.09773 -11.97561 -11.78945 -11.72110 -11.49216 -11.23529 -11.07899 -11.05202 -11.03557 -10.88532 -10.83989 -10.78506 -10.65071 -10.32666 -10.20127 -10.08149 -10.02281 -9.66020 -9.51522 -9.44463 -8.55301 -8.30781 -6.77848 -5.67204 -2.99892 2.64202 2.90990 3.41981 3.46597 3.48652 3.89670 4.18764 4.29364 4.46434 4.51584 4.71863 4.74575 4.91653 5.01846 5.05123 5.10460 5.15429 5.17497 5.25095 5.32599 5.39729 5.43497 5.49213 5.51558 5.56598 5.60249 5.61108 5.63195 5.64783 5.73260 5.78153 5.81627 5.86207 5.93576 5.96446 6.03689 6.08907 6.14591 6.19162 6.21481 6.22950 6.38524 6.45599 6.51502 6.62698 6.69218 7.40560 7.57355 7.66263 7.73461 7.87173 8.18620 8.29611 9.25630 9.85594 10.51952 11.44612 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.013533 B = 0.003901 C = 0.003609 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2068.447725 B = 7175.364578 C = 7757.582502 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.141 4.141 2 C 0.070 3.930 3 H 0.068 0.932 4 C 0.062 3.938 5 N -0.608 5.608 6 C 0.528 3.472 7 O -0.539 6.539 8 C -0.083 4.083 9 C -0.147 4.147 10 C -0.118 4.118 11 C -0.122 4.122 12 C -0.124 4.124 13 C -0.114 4.114 14 C 0.098 3.902 15 C 0.093 3.907 16 C -0.129 4.129 17 C 0.183 3.817 18 N -0.598 5.598 19 C -0.226 4.226 20 H 0.075 0.925 21 C -0.007 4.007 22 N -0.920 5.920 23 Si 0.911 3.089 24 H -0.289 1.289 25 H -0.290 1.290 26 H -0.282 1.282 27 C 0.122 3.878 28 O -0.347 6.347 29 H 0.068 0.932 30 H 0.071 0.929 31 H 0.062 0.938 32 H 0.074 0.926 33 H 0.107 0.893 34 H 0.061 0.939 35 H 0.069 0.931 36 H 0.068 0.932 37 H 0.074 0.926 38 H 0.077 0.923 39 H 0.068 0.932 40 H 0.069 0.931 41 H 0.065 0.935 42 H 0.067 0.933 43 H 0.067 0.933 44 H 0.089 0.911 45 H 0.100 0.900 46 H 0.070 0.930 47 H 0.072 0.928 48 H 0.073 0.927 49 H 0.050 0.950 50 H 0.044 0.956 51 H 0.252 0.748 52 H 0.038 0.962 53 H 0.023 0.977 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.140 -4.828 20.592 21.766 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 -0.199 4.199 2 C 0.011 3.989 3 H 0.086 0.914 4 C -0.061 4.061 5 N -0.340 5.340 6 C 0.316 3.684 7 O -0.415 6.415 8 C -0.086 4.086 9 C -0.205 4.205 10 C -0.155 4.155 11 C -0.160 4.160 12 C -0.162 4.162 13 C -0.151 4.151 14 C -0.025 4.025 15 C 0.051 3.949 16 C -0.168 4.168 17 C 0.058 3.942 18 N -0.324 5.324 19 C -0.354 4.354 20 H 0.093 0.907 21 C -0.203 4.203 22 N -0.568 5.568 23 Si 0.741 3.259 24 H -0.216 1.216 25 H -0.217 1.217 26 H -0.208 1.208 27 C -0.005 4.005 28 O -0.265 6.265 29 H 0.087 0.913 30 H 0.090 0.910 31 H 0.081 0.919 32 H 0.092 0.908 33 H 0.125 0.875 34 H 0.080 0.920 35 H 0.088 0.912 36 H 0.086 0.914 37 H 0.093 0.907 38 H 0.095 0.905 39 H 0.087 0.913 40 H 0.088 0.912 41 H 0.084 0.916 42 H 0.086 0.914 43 H 0.086 0.914 44 H 0.107 0.893 45 H 0.118 0.882 46 H 0.088 0.912 47 H 0.091 0.909 48 H 0.091 0.909 49 H 0.068 0.932 50 H 0.062 0.938 51 H 0.062 0.938 52 H 0.056 0.944 53 H 0.041 0.959 Dipole moment (debyes) X Y Z Total from point charges -4.636 -4.928 20.192 21.296 hybrid contribution 0.061 0.952 -0.344 1.014 sum -4.575 -3.976 19.847 20.753 Atomic orbital electron populations 1.21691 0.92598 1.02789 1.02797 1.22455 0.95188 0.96304 0.84958 0.91422 1.23011 0.80334 1.02048 1.00657 1.48088 1.06685 1.62645 1.16624 1.20505 0.86371 0.77789 0.83739 1.90650 1.15344 1.55922 1.79628 1.21378 0.97334 0.96135 0.93767 1.22130 0.98983 0.98790 1.00547 1.22653 0.99524 0.93638 0.99711 1.22491 0.96554 0.98948 0.97971 1.22359 0.96641 0.95743 1.01456 1.22228 0.99056 0.95539 0.98298 1.22091 1.00545 0.97283 0.82583 1.22235 0.81324 0.97023 0.94303 1.22836 1.00109 0.99992 0.93879 1.21152 1.01205 0.81285 0.90528 1.44407 1.85997 1.02505 0.99535 1.19004 1.43118 0.82514 0.90784 0.90742 1.24766 1.02234 0.97317 0.95978 1.69960 1.56489 1.27017 1.03348 0.86140 0.77484 0.83646 0.78611 1.21637 1.21655 1.20794 1.21924 0.96983 0.93030 0.88565 1.87844 1.20026 1.76559 1.42102 0.91331 0.90999 0.91889 0.90822 0.87530 0.91995 0.91236 0.91353 0.90718 0.90499 0.91318 0.91178 0.91580 0.91411 0.91389 0.89293 0.88166 0.91155 0.90918 0.90883 0.93191 0.93816 0.93792 0.94432 0.95897 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 -0.14 -1.60 9.57 37.16 0.36 -1.24 16 2 C 0.07 0.98 3.19 -26.58 -0.08 0.90 16 3 H 0.07 1.08 6.25 -51.93 -0.32 0.75 16 4 C 0.06 0.72 3.93 -3.53 -0.01 0.70 16 5 N -0.61 -8.56 2.96 -172.94 -0.51 -9.07 16 6 C 0.53 7.68 6.36 -10.98 -0.07 7.61 16 7 O -0.54 -9.71 14.74 5.56 0.08 -9.63 16 8 C -0.08 -0.89 0.61 -154.54 -0.09 -0.99 16 9 C -0.15 -1.21 7.85 37.16 0.29 -0.92 16 10 C -0.12 -1.17 4.60 -25.07 -0.12 -1.28 16 11 C -0.12 -1.04 6.91 -24.73 -0.17 -1.21 16 12 C -0.12 -1.17 6.83 -25.07 -0.17 -1.34 16 13 C -0.11 -1.21 6.05 -25.62 -0.15 -1.36 16 14 C 0.10 1.55 5.25 -4.12 -0.02 1.53 16 15 C 0.09 1.70 0.83 -89.86 -0.07 1.63 16 16 C -0.13 -2.50 6.12 -25.25 -0.15 -2.65 16 17 C 0.18 4.57 5.39 -2.96 -0.02 4.55 16 18 N -0.60 -15.75 3.40 -170.32 -0.58 -16.33 16 19 C -0.23 -6.45 10.28 -15.06 -0.15 -6.61 16 20 H 0.07 2.07 7.83 -52.49 -0.41 1.66 16 21 C -0.01 -0.19 5.49 -17.43 -0.10 -0.29 16 22 N -0.92 -27.44 10.30 55.49 0.57 -26.87 16 23 Si 0.91 22.47 29.55 -169.99 -5.02 17.45 16 24 H -0.29 -7.12 7.11 56.52 0.40 -6.72 16 25 H -0.29 -7.19 7.11 56.52 0.40 -6.79 16 26 H -0.28 -6.78 7.11 56.52 0.40 -6.38 16 27 C 0.12 2.66 6.18 -2.87 -0.02 2.64 16 28 O -0.35 -6.31 9.93 -35.22 -0.35 -6.66 16 29 H 0.07 0.57 8.14 -51.93 -0.42 0.15 16 30 H 0.07 0.93 8.14 -51.93 -0.42 0.51 16 31 H 0.06 0.66 8.14 -51.92 -0.42 0.23 16 32 H 0.07 0.77 8.14 -51.93 -0.42 0.35 16 33 H 0.11 0.97 2.53 -51.93 -0.13 0.84 16 34 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 35 H 0.07 0.45 8.14 -51.93 -0.42 0.03 16 36 H 0.07 0.53 5.09 -51.93 -0.26 0.26 16 37 H 0.07 0.92 7.85 -51.93 -0.41 0.52 16 38 H 0.08 0.62 6.13 -51.93 -0.32 0.31 16 39 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 40 H 0.07 0.58 8.14 -51.93 -0.42 0.16 16 41 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 42 H 0.07 0.72 8.14 -51.93 -0.42 0.29 16 43 H 0.07 0.61 7.67 -51.93 -0.40 0.21 16 44 H 0.09 1.17 6.41 -51.93 -0.33 0.84 16 45 H 0.10 1.72 6.88 -51.93 -0.36 1.37 16 46 H 0.07 1.02 8.14 -51.93 -0.42 0.59 16 47 H 0.07 1.27 7.99 -51.93 -0.42 0.86 16 48 H 0.07 1.30 8.14 -51.93 -0.42 0.88 16 49 H 0.05 1.39 7.38 -51.93 -0.38 1.01 16 50 H 0.04 1.19 7.49 -51.93 -0.39 0.80 16 51 H 0.25 7.28 8.31 -40.82 -0.34 6.94 16 52 H 0.04 0.82 6.09 -51.93 -0.32 0.50 16 53 H 0.02 0.53 7.80 -51.93 -0.40 0.12 16 LS Contribution 387.04 15.07 5.83 5.83 Total: -1.00 -33.23 387.04 -9.80 -43.03 By element: Atomic # 1 Polarization: 9.64 SS G_CDS: -9.06 Total: 0.57 kcal Atomic # 6 Polarization: 2.43 SS G_CDS: -0.76 Total: 1.66 kcal Atomic # 7 Polarization: -51.74 SS G_CDS: -0.52 Total: -52.26 kcal Atomic # 8 Polarization: -16.02 SS G_CDS: -0.27 Total: -16.29 kcal Atomic # 14 Polarization: 22.47 SS G_CDS: -5.02 Total: 17.45 kcal Total LS contribution 5.83 Total: 5.83 kcal Total: -33.23 -9.80 -43.03 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. ZINC001071195476.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 -2.223 kcal (2) G-P(sol) polarization free energy of solvation -33.228 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -35.451 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.803 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.031 kcal (6) G-S(sol) free energy of system = (1) + (5) -45.254 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.11 seconds