Wall clock time and date at job start Tue Mar 31 2020 23:37:13 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 1.53005 * 1 3 3 H 1.08997 * 109.49265 * 2 1 4 4 C 1.53039 * 109.49371 * 239.93396 * 2 1 3 5 5 C 1.53033 * 109.54054 * 301.41388 * 4 2 1 6 6 C 1.53198 * 109.31071 * 298.63784 * 5 4 2 7 7 N 1.46923 * 108.77495 * 54.63571 * 6 5 4 8 8 C 1.34773 * 120.63007 * 126.37208 * 7 6 5 9 9 O 1.21283 * 120.00312 * 176.51832 * 8 7 6 10 10 C 1.50701 * 120.00180 * 356.51177 * 8 7 6 11 11 H 1.08994 * 109.57888 * 305.16858 * 10 8 7 12 12 C 1.53142 * 109.52194 * 65.33256 * 10 8 7 13 13 O 1.43082 * 109.15036 * 175.21497 * 12 10 8 14 14 C 1.43077 * 113.59281 * 302.04692 * 13 12 10 15 15 C 1.53142 * 109.15082 * 57.95333 * 14 13 12 16 16 O 1.43077 * 109.52603 * 185.00479 * 10 8 7 17 17 C 1.46927 * 118.73762 * 306.64144 * 7 6 5 18 18 H 1.09001 * 109.58398 * 293.57086 * 17 7 6 19 19 C 1.53001 * 109.58530 * 173.14954 * 17 7 6 20 20 C 1.52998 * 109.47036 * 181.68036 * 19 17 7 21 21 C 1.53005 * 109.47114 * 185.11767 * 20 19 17 22 22 N 1.46492 * 109.46950 * 179.97438 * 21 20 19 23 23 C 1.36942 * 119.99683 * 179.97438 * 22 21 20 24 24 H 1.07995 * 120.00054 * 359.97438 * 23 22 21 25 25 C 1.38814 * 119.99956 * 179.97438 * 23 22 21 26 26 N 1.31620 * 119.99941 * 0.02562 * 25 23 22 27 27 Si 1.86798 * 120.00139 * 179.97438 * 25 23 22 28 28 H 1.48493 * 109.46992 * 90.00316 * 27 25 23 29 29 H 1.48502 * 109.47268 * 210.00266 * 27 25 23 30 30 H 1.48501 * 109.47157 * 330.00022 * 27 25 23 31 31 H 1.08994 * 109.47354 * 180.02562 * 1 2 3 32 32 H 1.09001 * 109.47136 * 300.06798 * 1 2 3 33 33 H 1.09002 * 109.47133 * 60.06245 * 1 2 3 34 34 H 1.09003 * 109.45714 * 181.39403 * 4 2 1 35 35 H 1.09000 * 109.45026 * 61.42815 * 4 2 1 36 36 H 1.09001 * 109.50330 * 178.68721 * 5 4 2 37 37 H 1.08995 * 109.52565 * 58.60143 * 5 4 2 38 38 H 1.09000 * 109.58934 * 294.84423 * 6 5 4 39 39 H 1.09001 * 109.58647 * 174.42051 * 6 5 4 40 40 H 1.08996 * 109.52588 * 55.31243 * 12 10 8 41 41 H 1.08995 * 109.57746 * 295.14528 * 12 10 8 42 42 H 1.09005 * 109.51890 * 298.05269 * 14 13 12 43 43 H 1.08994 * 109.52120 * 177.85826 * 14 13 12 44 44 H 1.08997 * 109.52325 * 184.79121 * 15 14 13 45 45 H 1.08996 * 109.52588 * 64.58984 * 15 14 13 46 46 H 1.09007 * 109.46667 * 301.67232 * 19 17 7 47 47 H 1.08997 * 109.47774 * 61.67325 * 19 17 7 48 48 H 1.09002 * 109.46969 * 305.10963 * 20 19 17 49 49 H 1.09000 * 109.47664 * 65.11375 * 20 19 17 50 50 H 1.09002 * 109.46546 * 299.99455 * 21 20 19 51 51 H 1.09000 * 109.47175 * 59.99309 * 21 20 19 52 52 H 0.97004 * 120.00438 * 359.97438 * 22 21 20 53 53 H 0.97005 * 120.00555 * 179.97438 * 26 25 23 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 1.5301 0.0000 0.0000 3 1 1.8938 1.0275 0.0000 4 6 2.0407 -0.7228 -1.2486 5 6 1.5030 -2.1554 -1.2666 6 6 2.0140 -2.9040 -0.0315 7 7 1.6515 -2.1384 1.1690 8 6 0.9740 -2.7223 2.1772 9 8 0.7358 -2.0981 3.1893 10 6 0.5123 -4.1510 2.0468 11 1 -0.0846 -4.2608 1.1415 12 6 1.7295 -5.0774 1.9728 13 8 1.2844 -6.4372 1.9619 14 6 0.4944 -6.7903 3.1013 15 6 -0.7228 -5.8639 3.1753 16 8 -0.2777 -4.5041 3.1862 17 6 2.0364 -0.7226 1.2469 18 1 3.1222 -0.6414 1.2973 19 6 1.4135 -0.0896 2.4928 20 6 1.7814 1.3944 2.5490 21 6 1.2672 1.9981 3.8575 22 7 1.6200 3.4189 3.9116 23 6 1.2607 4.1727 4.9969 24 1 0.7170 3.7199 5.8128 25 6 1.5955 5.5189 5.0485 26 7 2.2578 6.0709 4.0540 27 14 1.1048 6.5474 6.5286 28 1 2.1840 6.4953 7.5472 29 1 0.8916 7.9547 6.1048 30 1 -0.1514 6.0100 7.1103 31 1 -0.3634 -1.0276 0.0005 32 1 -0.3633 0.5149 0.8894 33 1 -0.3633 0.5129 -0.8906 34 1 3.1305 -0.7441 -1.2355 35 1 1.6985 -0.1952 -2.1388 36 1 1.8480 -2.6623 -2.1678 37 1 0.4132 -2.1356 -1.2549 38 1 3.0979 -3.0043 -0.0875 39 1 1.5553 -3.8918 0.0128 40 1 2.3680 -4.9100 2.8402 41 1 2.2910 -4.8706 1.0618 42 1 1.0914 -6.6804 4.0067 43 1 0.1606 -7.8236 3.0070 44 1 -1.2833 -6.0709 4.0869 45 1 -1.3613 -6.0312 2.3079 46 1 0.3293 -0.1937 2.4498 47 1 1.7916 -0.5917 3.3833 48 1 2.8650 1.5022 2.5004 49 1 1.3264 1.9139 1.7057 50 1 0.1836 1.8904 3.9062 51 1 1.7222 1.4787 4.7009 52 1 2.1082 3.8257 3.1787 53 1 2.4915 7.0117 4.0897 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 ZINC001565982102.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 23:37:13 Heat of formation + Delta-G solvation = -95.985664 kcal Electronic energy + Delta-G solvation = -31756.485636 eV Core-core repulsion = 27629.361127 eV Total energy + Delta-G solvation = -4127.124509 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.13 seconds Orbital eigenvalues (eV) -41.38884 -39.99372 -37.89400 -36.36404 -35.73095 -34.26683 -33.26520 -31.97213 -31.38414 -29.56422 -28.74897 -27.06854 -26.40724 -25.25563 -24.36246 -23.30654 -22.28777 -21.61058 -20.75631 -20.22753 -18.74414 -17.55590 -17.21629 -17.08797 -16.82244 -16.48188 -16.18379 -15.69898 -15.52942 -15.12297 -14.66994 -14.60815 -14.42660 -14.05484 -13.88583 -13.79549 -13.50259 -13.29860 -13.13066 -13.08195 -12.78129 -12.58001 -12.19726 -12.08694 -11.82873 -11.72513 -11.47375 -11.27599 -11.18577 -11.04396 -10.94276 -10.78965 -10.76586 -10.71614 -10.56892 -10.30115 -10.05662 -9.88834 -9.69391 -9.56618 -8.93081 -8.75271 -8.70631 -6.78887 -5.66240 -2.93454 2.33215 2.42396 3.17870 3.40817 3.50746 3.55290 3.57654 4.01167 4.12770 4.34674 4.42948 4.46471 4.56294 4.59268 4.64247 4.69395 4.74009 4.77751 4.89048 4.95928 5.00634 5.12357 5.16875 5.27343 5.29640 5.37821 5.40355 5.51561 5.56314 5.60079 5.66583 5.68390 5.74325 5.86404 5.96041 5.97878 6.02787 6.20365 6.28399 6.34696 6.40202 6.48149 6.51908 6.54624 6.59647 6.86318 7.09161 7.11728 7.21073 7.81231 8.03988 8.53781 9.64193 10.24857 10.59857 11.57182 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014250 B = 0.002570 C = 0.002261 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1964.402942 B =10892.772750 C =12383.128256 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.148 4.148 2 C -0.106 4.106 3 H 0.091 0.909 4 C -0.116 4.116 5 C -0.138 4.138 6 C 0.095 3.905 7 N -0.604 5.604 8 C 0.520 3.480 9 O -0.492 6.492 10 C 0.036 3.964 11 H 0.090 0.910 12 C 0.028 3.972 13 O -0.374 6.374 14 C 0.020 3.980 15 C 0.023 3.977 16 O -0.347 6.347 17 C 0.156 3.844 18 H 0.074 0.926 19 C -0.108 4.108 20 C -0.131 4.131 21 C 0.156 3.844 22 N -0.735 5.735 23 C -0.233 4.233 24 H 0.070 0.930 25 C -0.019 4.019 26 N -0.937 5.937 27 Si 0.906 3.094 28 H -0.290 1.290 29 H -0.292 1.292 30 H -0.282 1.282 31 H 0.051 0.949 32 H 0.066 0.934 33 H 0.052 0.948 34 H 0.064 0.936 35 H 0.066 0.934 36 H 0.074 0.926 37 H 0.072 0.928 38 H 0.075 0.925 39 H 0.086 0.914 40 H 0.069 0.931 41 H 0.117 0.883 42 H 0.065 0.935 43 H 0.108 0.892 44 H 0.111 0.889 45 H 0.063 0.937 46 H 0.073 0.927 47 H 0.089 0.911 48 H 0.057 0.943 49 H 0.059 0.941 50 H 0.017 0.983 51 H 0.017 0.983 52 H 0.382 0.618 53 H 0.253 0.747 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.610 -29.287 -13.821 32.424 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 -0.205 4.205 2 C -0.125 4.125 3 H 0.109 0.891 4 C -0.153 4.153 5 C -0.176 4.176 6 C -0.028 4.028 7 N -0.339 5.339 8 C 0.305 3.695 9 O -0.365 6.365 10 C -0.025 4.025 11 H 0.108 0.892 12 C -0.050 4.050 13 O -0.293 6.293 14 C -0.057 4.057 15 C -0.054 4.054 16 O -0.265 6.265 17 C 0.054 3.946 18 H 0.092 0.908 19 C -0.146 4.146 20 C -0.169 4.169 21 C 0.029 3.971 22 N -0.379 5.379 23 C -0.364 4.364 24 H 0.088 0.912 25 C -0.214 4.214 26 N -0.586 5.586 27 Si 0.738 3.262 28 H -0.218 1.218 29 H -0.218 1.218 30 H -0.208 1.208 31 H 0.070 0.930 32 H 0.084 0.916 33 H 0.071 0.929 34 H 0.083 0.917 35 H 0.085 0.915 36 H 0.093 0.907 37 H 0.090 0.910 38 H 0.093 0.907 39 H 0.104 0.896 40 H 0.088 0.912 41 H 0.135 0.865 42 H 0.083 0.917 43 H 0.126 0.874 44 H 0.129 0.871 45 H 0.081 0.919 46 H 0.092 0.908 47 H 0.108 0.892 48 H 0.075 0.925 49 H 0.078 0.922 50 H 0.034 0.966 51 H 0.035 0.965 52 H 0.215 0.785 53 H 0.063 0.937 Dipole moment (debyes) X Y Z Total from point charges -1.830 -28.907 -13.079 31.781 hybrid contribution -0.124 0.683 0.410 0.806 sum -1.954 -28.224 -12.669 30.999 Atomic orbital electron populations 1.21900 0.94787 1.01518 1.02264 1.21513 0.96914 1.00224 0.93887 0.89110 1.21564 1.00547 0.95060 0.98145 1.21972 1.01881 0.96599 0.97134 1.22045 1.00770 0.95112 0.84869 1.48056 1.56563 1.11650 1.17662 1.19837 0.78704 0.87233 0.83713 1.90853 1.53891 1.62891 1.28904 1.22620 0.94495 0.93981 0.91447 0.89196 1.23457 0.94915 0.81888 1.04691 1.88116 1.70351 1.26759 1.44059 1.23337 0.92724 0.99902 0.89711 1.23351 0.96156 0.81979 1.03919 1.88270 1.69338 1.27170 1.41749 1.21367 0.98792 0.77998 0.96451 0.90838 1.22136 1.01670 0.94351 0.96466 1.21891 1.00798 0.94964 0.99241 1.20580 0.96640 0.85877 0.94003 1.42404 1.68287 1.04428 1.22764 1.19282 1.28865 0.91221 0.97056 0.91248 1.24730 1.01493 0.96941 0.98214 1.69666 1.45177 1.11989 1.31810 0.86182 0.78052 0.79730 0.82252 1.21802 1.21840 1.20792 0.93010 0.91552 0.92925 0.91697 0.91484 0.90727 0.90961 0.90715 0.89563 0.91235 0.86543 0.91680 0.87394 0.87063 0.91902 0.90834 0.89229 0.92458 0.92212 0.96560 0.96483 0.78458 0.93673 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 -0.15 -1.64 8.16 37.16 0.30 -1.34 16 2 C -0.11 -1.10 2.25 -90.72 -0.20 -1.31 16 3 H 0.09 1.04 6.85 -51.93 -0.36 0.68 16 4 C -0.12 -0.89 5.43 -26.69 -0.14 -1.03 16 5 C -0.14 -0.85 5.74 -26.61 -0.15 -1.00 16 6 C 0.09 0.60 5.16 -3.71 -0.02 0.58 16 7 N -0.60 -6.04 2.42 -165.47 -0.40 -6.44 16 8 C 0.52 6.41 7.00 -10.99 -0.08 6.33 16 9 O -0.49 -8.25 12.02 -14.26 -0.17 -8.42 16 10 C 0.04 0.36 2.42 -27.81 -0.07 0.29 16 11 H 0.09 0.73 7.59 -51.93 -0.39 0.34 16 12 C 0.03 0.22 5.87 37.23 0.22 0.44 16 13 O -0.37 -3.12 10.85 -48.80 -0.53 -3.65 16 14 C 0.02 0.13 7.05 37.23 0.26 0.39 16 15 C 0.02 0.17 7.05 37.23 0.26 0.43 16 16 O -0.35 -4.07 10.03 -62.50 -0.63 -4.70 16 17 C 0.16 1.82 2.72 -67.82 -0.18 1.64 16 18 H 0.07 0.84 8.14 -51.93 -0.42 0.42 16 19 C -0.11 -1.67 2.63 -26.73 -0.07 -1.74 16 20 C -0.13 -2.30 4.74 -26.73 -0.13 -2.43 16 21 C 0.16 3.54 6.26 -4.04 -0.03 3.51 16 22 N -0.74 -20.14 5.60 -59.91 -0.34 -20.47 16 23 C -0.23 -6.97 9.99 -15.06 -0.15 -7.12 16 24 H 0.07 2.03 7.83 -52.49 -0.41 1.62 16 25 C -0.02 -0.56 5.50 -17.43 -0.10 -0.66 16 26 N -0.94 -29.52 13.06 55.49 0.72 -28.79 16 27 Si 0.91 23.45 29.55 -169.99 -5.02 18.43 16 28 H -0.29 -7.45 7.11 56.52 0.40 -7.05 16 29 H -0.29 -7.54 7.11 56.52 0.40 -7.14 16 30 H -0.28 -7.12 7.11 56.52 0.40 -6.72 16 31 H 0.05 0.55 5.97 -51.93 -0.31 0.24 16 32 H 0.07 0.89 6.10 -51.93 -0.32 0.57 16 33 H 0.05 0.53 8.14 -51.93 -0.42 0.11 16 34 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 35 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 36 H 0.07 0.33 8.14 -51.93 -0.42 -0.09 16 37 H 0.07 0.50 6.34 -51.93 -0.33 0.17 16 38 H 0.07 0.39 8.14 -51.93 -0.42 -0.03 16 39 H 0.09 0.42 4.38 -51.93 -0.23 0.19 16 40 H 0.07 0.62 8.14 -51.93 -0.42 0.19 16 41 H 0.12 0.66 5.25 -51.93 -0.27 0.39 16 42 H 0.06 0.44 8.14 -51.93 -0.42 0.02 16 43 H 0.11 0.45 8.14 -51.93 -0.42 0.02 16 44 H 0.11 0.64 8.14 -51.93 -0.42 0.22 16 45 H 0.06 0.40 8.14 -51.93 -0.42 -0.03 16 46 H 0.07 1.24 5.46 -51.93 -0.28 0.95 16 47 H 0.09 1.57 6.28 -51.93 -0.33 1.25 16 48 H 0.06 1.00 8.14 -51.93 -0.42 0.58 16 49 H 0.06 1.03 6.59 -51.93 -0.34 0.69 16 50 H 0.02 0.38 8.14 -51.93 -0.42 -0.04 16 51 H 0.02 0.40 8.14 -51.93 -0.42 -0.02 16 52 H 0.38 10.80 7.67 -40.82 -0.31 10.49 16 53 H 0.25 7.68 8.31 -40.82 -0.34 7.34 16 LS Contribution 391.43 15.07 5.90 5.90 Total: -1.00 -36.01 391.43 -9.67 -45.68 By element: Atomic # 1 Polarization: 14.42 SS G_CDS: -8.94 Total: 5.48 kcal Atomic # 6 Polarization: -2.74 SS G_CDS: -0.27 Total: -3.01 kcal Atomic # 7 Polarization: -55.69 SS G_CDS: -0.01 Total: -55.70 kcal Atomic # 8 Polarization: -15.45 SS G_CDS: -1.33 Total: -16.77 kcal Atomic # 14 Polarization: 23.45 SS G_CDS: -5.02 Total: 18.43 kcal Total LS contribution 5.90 Total: 5.90 kcal Total: -36.01 -9.67 -45.68 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. ZINC001565982102.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 -50.304 kcal (2) G-P(sol) polarization free energy of solvation -36.010 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -86.314 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.671 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -45.681 kcal (6) G-S(sol) free energy of system = (1) + (5) -95.986 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.13 seconds