Wall clock time and date at job start Tue Mar 31 2020 21:33:21 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 1.52997 * 1 3 3 H 1.09003 * 109.50869 * 2 1 4 4 C 1.53278 * 109.55839 * 120.12864 * 2 1 3 5 5 N 1.47167 * 108.52211 * 173.02945 * 4 2 1 6 6 C 1.34778 * 121.07759 * 128.67598 * 5 4 2 7 7 O 1.21283 * 120.00355 * 180.02562 * 6 5 4 8 8 C 1.50703 * 119.99882 * 359.97438 * 6 5 4 9 9 C 1.53003 * 109.46846 * 180.02562 * 8 6 5 10 10 C 1.52999 * 109.46935 * 180.02562 * 9 8 6 11 11 C 1.52997 * 109.47223 * 179.97438 * 10 9 8 12 12 C 1.52999 * 117.49940 * 243.62175 * 11 10 9 13 13 C 1.53004 * 60.00150 * 252.50897 * 12 11 10 14 14 C 1.47326 * 117.84567 * 308.69353 * 5 4 2 15 15 C 1.52357 * 108.46342 * 49.13614 * 14 5 4 16 16 C 1.54359 * 110.41767 * 73.70396 * 15 14 5 17 17 C 1.54467 * 102.87849 * 152.35242 * 16 15 14 18 18 N 1.47081 * 107.29562 * 338.51115 * 17 16 15 19 19 C 1.36948 * 125.62908 * 178.95984 * 18 17 16 20 20 H 1.07999 * 119.99813 * 174.85374 * 19 18 17 21 21 C 1.38806 * 119.99889 * 354.85841 * 19 18 17 22 22 N 1.31615 * 120.00248 * 7.06067 * 21 19 18 23 23 Si 1.86798 * 119.99956 * 187.05884 * 21 19 18 24 24 H 1.48503 * 109.47004 * 94.98452 * 23 21 19 25 25 H 1.48501 * 109.47395 * 214.98505 * 23 21 19 26 26 H 1.48497 * 109.47232 * 334.98858 * 23 21 19 27 27 C 1.47563 * 108.74095 * 358.99204 * 18 17 16 28 28 O 1.41872 * 111.48210 * 310.13044 * 15 14 5 29 29 H 1.09004 * 109.46821 * 180.10261 * 1 2 3 30 30 H 1.09004 * 109.47296 * 300.09091 * 1 2 3 31 31 H 1.09001 * 109.47870 * 60.09779 * 1 2 3 32 32 H 1.09000 * 109.62986 * 292.74614 * 4 2 1 33 33 H 1.09001 * 109.62890 * 53.31679 * 4 2 1 34 34 H 1.08990 * 109.47365 * 300.00391 * 8 6 5 35 35 H 1.09004 * 109.47045 * 60.00719 * 8 6 5 36 36 H 1.09002 * 109.46865 * 299.99816 * 9 8 6 37 37 H 1.08997 * 109.47444 * 60.00273 * 9 8 6 38 38 H 1.09002 * 109.46800 * 300.00210 * 10 9 8 39 39 H 1.08997 * 109.47137 * 59.99712 * 10 9 8 40 40 H 1.09001 * 115.55342 * 29.32844 * 11 10 9 41 41 H 1.09001 * 117.50013 * 359.97438 * 12 11 10 42 42 H 1.09003 * 117.50038 * 145.01844 * 12 11 10 43 43 H 1.08999 * 117.49894 * 252.51160 * 13 12 11 44 44 H 1.09000 * 117.49612 * 107.48550 * 13 12 11 45 45 H 1.08994 * 109.63546 * 289.43583 * 14 5 4 46 46 H 1.09001 * 109.63564 * 168.83073 * 14 5 4 47 47 H 1.08997 * 110.73534 * 34.00711 * 16 15 14 48 48 H 1.08996 * 110.72769 * 270.69756 * 16 15 14 49 49 H 1.08999 * 109.87937 * 219.08816 * 17 16 15 50 50 H 1.09001 * 109.87800 * 97.93422 * 17 16 15 51 51 H 0.97001 * 120.00307 * 180.02562 * 22 21 19 52 52 H 1.09006 * 110.37586 * 142.15091 * 27 18 17 53 53 H 1.08996 * 110.37855 * 264.38729 * 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 2.0431 -0.7250 1.2492 5 7 3.5048 -0.8598 1.1442 6 6 4.3135 -0.4692 2.1491 7 8 5.5156 -0.5888 2.0416 8 6 3.7241 0.1173 3.4060 9 6 4.8499 0.4750 4.3784 10 6 4.2515 1.0699 5.6547 11 6 5.3771 1.4270 6.6275 12 6 5.4222 0.6786 7.9612 13 6 4.9910 2.1461 7.9216 14 6 4.0555 -1.4353 -0.0952 15 6 3.4213 -0.7210 -1.2822 16 6 4.0035 0.7010 -1.4288 17 6 3.8555 0.9794 -2.9409 18 7 3.7463 -0.3224 -3.6166 19 6 3.5811 -0.5111 -4.9629 20 1 3.5947 -1.5097 -5.3739 21 6 3.3962 0.5812 -5.7993 22 7 3.5178 1.8023 -5.3236 23 14 2.9749 0.3180 -7.6000 24 1 1.5020 0.3808 -7.7780 25 1 3.6181 1.3769 -8.4188 26 1 3.4697 -1.0129 -8.0347 27 6 3.8434 -1.3916 -2.6043 28 8 2.0079 -0.6764 -1.1671 29 1 -0.3633 -1.0277 0.0018 30 1 -0.3634 0.5153 0.8892 31 1 -0.3635 0.5123 -0.8908 32 1 1.7916 -0.1460 2.1378 33 1 1.5877 -1.7133 1.3119 34 1 3.1598 1.0160 3.1576 35 1 3.0602 -0.6118 3.8706 36 1 5.4145 -0.4237 4.6269 37 1 5.5135 1.2042 3.9138 38 1 3.6865 1.9684 5.4065 39 1 3.5881 0.3403 6.1193 40 1 6.3286 1.6945 6.1678 41 1 4.6497 -0.0679 8.1458 42 1 6.4035 0.4535 8.3791 43 1 5.6885 2.8864 8.3134 44 1 3.9349 2.3647 8.0799 45 1 3.8223 -2.4990 -0.1403 46 1 5.1360 -1.2930 -0.1166 47 1 5.0526 0.7208 -1.1337 48 1 3.4240 1.4171 -0.8461 49 1 4.7318 1.5145 -3.3068 50 1 2.9565 1.5682 -3.1232 51 1 3.3882 2.5657 -5.9079 52 1 3.1647 -2.2087 -2.8490 53 1 4.8678 -1.7577 -2.5359 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 ZINC001131674162.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 21:33:21 Heat of formation + Delta-G solvation = -33.233105 kcal Electronic energy + Delta-G solvation = -30384.332336 eV Core-core repulsion = 26450.385034 eV Total energy + Delta-G solvation = -3933.947303 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.13 seconds Orbital eigenvalues (eV) -40.62902 -38.92305 -37.95300 -36.35960 -34.59827 -34.08795 -33.02790 -31.33134 -29.61888 -28.87585 -27.91416 -26.49652 -25.44470 -23.79123 -22.74009 -22.20120 -21.89010 -20.77469 -20.19064 -19.57363 -18.78780 -17.22542 -17.00277 -16.54877 -16.20860 -15.81788 -15.71017 -14.86340 -14.72540 -14.58347 -14.37257 -14.22444 -13.86876 -13.53795 -13.38938 -13.07070 -12.70857 -12.57108 -12.28428 -12.26184 -12.10161 -12.04597 -11.94102 -11.85943 -11.77688 -11.58460 -11.28931 -11.08657 -10.98449 -10.89820 -10.84959 -10.53313 -10.34060 -10.20660 -10.18005 -10.07495 -10.03760 -9.76293 -9.60413 -9.49058 -8.52852 -8.35475 -6.78524 -5.67742 -2.99479 2.60292 2.86569 3.43706 3.46594 3.48624 3.50608 3.86435 4.19855 4.41808 4.52591 4.59015 4.62356 4.68280 4.78470 4.81446 4.90783 5.01290 5.04974 5.13854 5.17179 5.28475 5.30244 5.32977 5.41103 5.45636 5.48472 5.49619 5.55892 5.58510 5.60338 5.64525 5.76797 5.79534 5.82728 5.89451 5.94757 5.99255 6.00412 6.13683 6.16545 6.18581 6.37004 6.50472 6.53087 6.55978 6.67085 7.35058 7.58029 7.67176 7.70214 7.86928 8.14052 8.29254 9.25634 9.85966 10.52152 11.44632 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.021807 B = 0.002322 C = 0.002259 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1283.708616 B =12054.769419 C =12391.502641 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 0.068 3.932 3 H 0.065 0.935 4 C 0.079 3.921 5 N -0.613 5.613 6 C 0.515 3.485 7 O -0.540 6.540 8 C -0.140 4.140 9 C -0.101 4.101 10 C -0.089 4.089 11 C -0.152 4.152 12 C -0.182 4.182 13 C -0.184 4.184 14 C 0.097 3.903 15 C 0.094 3.906 16 C -0.165 4.165 17 C 0.185 3.815 18 N -0.599 5.599 19 C -0.225 4.225 20 H 0.079 0.921 21 C -0.008 4.008 22 N -0.920 5.920 23 Si 0.911 3.089 24 H -0.289 1.289 25 H -0.292 1.292 26 H -0.281 1.281 27 C 0.152 3.848 28 O -0.343 6.343 29 H 0.063 0.937 30 H 0.068 0.932 31 H 0.071 0.929 32 H 0.090 0.910 33 H 0.076 0.924 34 H 0.092 0.908 35 H 0.091 0.909 36 H 0.071 0.929 37 H 0.071 0.929 38 H 0.067 0.933 39 H 0.063 0.937 40 H 0.105 0.895 41 H 0.093 0.907 42 H 0.092 0.908 43 H 0.092 0.908 44 H 0.093 0.907 45 H 0.071 0.929 46 H 0.101 0.899 47 H 0.064 0.936 48 H 0.060 0.940 49 H 0.040 0.960 50 H 0.048 0.952 51 H 0.251 0.749 52 H 0.051 0.949 53 H 0.036 0.964 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.394 -2.180 24.869 25.194 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 0.009 3.991 3 H 0.083 0.917 4 C -0.045 4.045 5 N -0.347 5.347 6 C 0.303 3.697 7 O -0.417 6.417 8 C -0.179 4.179 9 C -0.139 4.139 10 C -0.126 4.126 11 C -0.170 4.170 12 C -0.219 4.219 13 C -0.221 4.221 14 C -0.026 4.026 15 C 0.052 3.948 16 C -0.203 4.203 17 C 0.060 3.940 18 N -0.326 5.326 19 C -0.353 4.353 20 H 0.096 0.904 21 C -0.204 4.204 22 N -0.568 5.568 23 Si 0.741 3.259 24 H -0.217 1.217 25 H -0.219 1.219 26 H -0.206 1.206 27 C 0.026 3.974 28 O -0.262 6.262 29 H 0.082 0.918 30 H 0.087 0.913 31 H 0.090 0.910 32 H 0.108 0.892 33 H 0.095 0.905 34 H 0.111 0.889 35 H 0.109 0.891 36 H 0.089 0.911 37 H 0.090 0.910 38 H 0.085 0.915 39 H 0.082 0.918 40 H 0.123 0.877 41 H 0.111 0.889 42 H 0.110 0.890 43 H 0.111 0.889 44 H 0.111 0.889 45 H 0.089 0.911 46 H 0.119 0.881 47 H 0.083 0.917 48 H 0.079 0.921 49 H 0.058 0.942 50 H 0.066 0.934 51 H 0.062 0.938 52 H 0.069 0.931 53 H 0.054 0.946 Dipole moment (debyes) X Y Z Total from point charges -2.881 -2.194 24.474 24.741 hybrid contribution -0.192 0.111 -0.738 0.771 sum -3.074 -2.082 23.736 24.025 Atomic orbital electron populations 1.21690 0.92485 1.02969 1.02731 1.22444 0.95307 0.96073 0.85272 0.91734 1.22527 0.80195 1.01953 0.99790 1.48232 1.06748 1.62711 1.16982 1.20691 0.86783 0.77649 0.84547 1.90698 1.14684 1.55375 1.80955 1.21713 1.00182 1.02111 0.93941 1.21324 0.96898 1.02037 0.93634 1.21201 0.96275 1.00585 0.94582 1.22357 1.00803 1.04442 0.89365 1.23035 1.02821 0.94941 1.01116 1.22969 1.02009 0.95241 1.01862 1.22142 1.00565 0.97291 0.82588 1.22383 0.81030 0.96468 0.94899 1.23348 0.99944 0.95758 1.01261 1.21104 1.00688 0.87848 0.84324 1.44419 1.85872 1.00081 1.02186 1.19047 1.42134 0.93159 0.80953 0.90355 1.24813 1.02047 0.95267 0.98293 1.69981 1.55450 0.96992 1.34360 0.86114 0.78119 0.77035 0.84615 1.21674 1.21860 1.20628 1.21344 0.97493 0.92629 0.85984 1.87914 1.20182 1.76550 1.41559 0.91763 0.91320 0.91041 0.89193 0.90532 0.88932 0.89073 0.91071 0.90991 0.91469 0.91840 0.87653 0.88859 0.88992 0.88948 0.88868 0.91061 0.88064 0.91698 0.92105 0.94168 0.93392 0.93838 0.93089 0.94627 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -1.52 9.57 37.16 0.36 -1.16 16 2 C 0.07 0.90 3.20 -26.59 -0.09 0.82 16 3 H 0.06 0.92 6.25 -51.93 -0.32 0.59 16 4 C 0.08 0.83 5.82 -3.53 -0.02 0.81 16 5 N -0.61 -8.14 2.95 -172.70 -0.51 -8.65 16 6 C 0.51 6.88 7.71 -10.98 -0.08 6.80 16 7 O -0.54 -9.25 15.47 5.56 0.09 -9.17 16 8 C -0.14 -1.24 4.07 -27.88 -0.11 -1.36 16 9 C -0.10 -0.92 4.46 -26.73 -0.12 -1.04 16 10 C -0.09 -0.63 5.50 -26.73 -0.15 -0.78 16 11 C -0.15 -1.13 5.74 -90.62 -0.52 -1.65 16 12 C -0.18 -1.23 10.18 -26.73 -0.27 -1.50 16 13 C -0.18 -1.21 10.25 -26.73 -0.27 -1.48 16 14 C 0.10 1.50 5.30 -3.92 -0.02 1.48 16 15 C 0.09 1.71 0.84 -89.64 -0.08 1.64 16 16 C -0.16 -3.27 5.88 -25.25 -0.15 -3.42 16 17 C 0.18 4.66 5.39 -2.96 -0.02 4.65 16 18 N -0.60 -15.73 3.40 -170.31 -0.58 -16.31 16 19 C -0.22 -6.40 10.27 -15.06 -0.15 -6.55 16 20 H 0.08 2.15 7.84 -52.49 -0.41 1.73 16 21 C -0.01 -0.23 5.48 -17.43 -0.10 -0.33 16 22 N -0.92 -27.59 10.36 55.49 0.57 -27.02 16 23 Si 0.91 22.50 29.56 -169.99 -5.02 17.47 16 24 H -0.29 -7.15 7.11 56.52 0.40 -6.75 16 25 H -0.29 -7.26 7.11 56.52 0.40 -6.86 16 26 H -0.28 -6.73 7.11 56.52 0.40 -6.33 16 27 C 0.15 3.24 6.41 -2.87 -0.02 3.23 16 28 O -0.34 -6.21 9.92 -35.22 -0.35 -6.56 16 29 H 0.06 0.66 8.14 -51.93 -0.42 0.23 16 30 H 0.07 0.53 8.14 -51.93 -0.42 0.11 16 31 H 0.07 0.89 8.14 -51.93 -0.42 0.47 16 32 H 0.09 0.67 6.05 -51.93 -0.31 0.36 16 33 H 0.08 0.75 8.14 -51.93 -0.42 0.33 16 34 H 0.09 0.70 7.67 -51.93 -0.40 0.30 16 35 H 0.09 0.63 8.00 -51.93 -0.42 0.21 16 36 H 0.07 0.73 8.10 -51.93 -0.42 0.31 16 37 H 0.07 0.76 8.10 -51.93 -0.42 0.34 16 38 H 0.07 0.45 8.14 -51.93 -0.42 0.02 16 39 H 0.06 0.40 7.87 -51.93 -0.41 -0.01 16 40 H 0.11 0.83 8.07 -51.93 -0.42 0.41 16 41 H 0.09 0.58 8.03 -51.93 -0.42 0.16 16 42 H 0.09 0.58 8.14 -51.93 -0.42 0.16 16 43 H 0.09 0.56 8.14 -51.93 -0.42 0.13 16 44 H 0.09 0.56 8.14 -51.93 -0.42 0.13 16 45 H 0.07 1.03 8.14 -51.93 -0.42 0.60 16 46 H 0.10 1.70 6.85 -51.93 -0.36 1.34 16 47 H 0.06 1.27 7.82 -51.93 -0.41 0.87 16 48 H 0.06 1.13 6.10 -51.93 -0.32 0.81 16 49 H 0.04 1.12 7.61 -51.93 -0.39 0.72 16 50 H 0.05 1.35 7.30 -51.93 -0.38 0.97 16 51 H 0.25 7.30 8.31 -40.82 -0.34 6.96 16 52 H 0.05 1.08 8.14 -51.93 -0.42 0.65 16 53 H 0.04 0.73 8.00 -51.93 -0.42 0.32 16 LS Contribution 408.44 15.07 6.16 6.16 Total: -1.00 -33.58 408.44 -11.04 -44.61 By element: Atomic # 1 Polarization: 8.89 SS G_CDS: -9.58 Total: -0.69 kcal Atomic # 6 Polarization: 1.96 SS G_CDS: -1.81 Total: 0.15 kcal Atomic # 7 Polarization: -51.47 SS G_CDS: -0.51 Total: -51.98 kcal Atomic # 8 Polarization: -15.46 SS G_CDS: -0.26 Total: -15.72 kcal Atomic # 14 Polarization: 22.50 SS G_CDS: -5.02 Total: 17.47 kcal Total LS contribution 6.16 Total: 6.16 kcal Total: -33.58 -11.04 -44.61 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. ZINC001131674162.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 11.380 kcal (2) G-P(sol) polarization free energy of solvation -33.576 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -22.195 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -11.038 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.614 kcal (6) G-S(sol) free energy of system = (1) + (5) -33.233 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.13 seconds