Wall clock time and date at job start Tue Mar 31 2020 21:32:57 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 1.52993 * 1 3 3 H 1.09003 * 109.51501 * 2 1 4 4 C 1.52826 * 109.63240 * 240.01444 * 2 1 3 5 5 N 1.47162 * 108.79352 * 187.30057 * 4 2 1 6 6 C 1.34780 * 121.06700 * 231.08134 * 5 4 2 7 7 O 1.21286 * 119.99969 * 185.06840 * 6 5 4 8 8 C 1.50697 * 120.00271 * 5.07167 * 6 5 4 9 9 C 1.52994 * 109.47353 * 176.94682 * 8 6 5 10 10 C 1.52999 * 109.47036 * 296.94929 * 8 6 5 11 11 C 1.53003 * 109.46864 * 56.94293 * 8 6 5 12 12 C 1.53004 * 117.49931 * 240.81445 * 11 8 6 13 13 C 1.53000 * 60.00009 * 252.51563 * 12 11 8 14 14 C 1.47308 * 117.86804 * 50.80579 * 5 4 2 15 15 C 1.52512 * 108.40121 * 310.88305 * 14 5 4 16 16 C 1.54497 * 110.09429 * 173.01994 * 15 14 5 17 17 C 1.55023 * 101.53260 * 153.03050 * 16 15 14 18 18 N 1.47483 * 104.90508 * 323.63726 * 17 16 15 19 19 C 1.36940 * 125.66840 * 204.00989 * 18 17 16 20 20 H 1.07996 * 120.00062 * 180.02562 * 19 18 17 21 21 C 1.38812 * 119.99526 * 0.02562 * 19 18 17 22 22 N 1.31623 * 120.00329 * 359.97438 * 21 19 18 23 23 Si 1.86803 * 119.99679 * 179.97438 * 21 19 18 24 24 H 1.48496 * 109.47351 * 0.02562 * 23 21 19 25 25 H 1.48503 * 109.46748 * 120.00008 * 23 21 19 26 26 H 1.48502 * 109.47226 * 239.99929 * 23 21 19 27 27 C 1.47184 * 108.66918 * 24.01501 * 18 17 16 28 28 O 1.42071 * 111.11699 * 50.41782 * 15 14 5 29 29 H 1.09000 * 109.47255 * 299.89586 * 1 2 3 30 30 H 1.08999 * 109.47123 * 59.90082 * 1 2 3 31 31 H 1.09009 * 109.46967 * 179.89868 * 1 2 3 32 32 H 1.09000 * 109.54850 * 67.48137 * 4 2 1 33 33 H 1.09004 * 109.45474 * 307.06687 * 4 2 1 34 34 H 1.09007 * 109.47078 * 174.99219 * 9 8 6 35 35 H 1.09002 * 109.47149 * 294.98728 * 9 8 6 36 36 H 1.09000 * 109.47505 * 54.99238 * 9 8 6 37 37 H 1.09001 * 109.46892 * 304.57154 * 10 8 6 38 38 H 1.08999 * 109.47643 * 64.56269 * 10 8 6 39 39 H 1.08995 * 109.47771 * 184.57003 * 10 8 6 40 40 H 1.08991 * 115.55236 * 26.52895 * 11 8 6 41 41 H 1.09000 * 117.49974 * 0.02562 * 12 11 8 42 42 H 1.08996 * 117.49855 * 145.02529 * 12 11 8 43 43 H 1.08997 * 117.49857 * 252.50745 * 13 12 11 44 44 H 1.09001 * 117.49740 * 107.49457 * 13 12 11 45 45 H 1.09006 * 109.67245 * 70.60842 * 14 5 4 46 46 H 1.09000 * 109.68055 * 191.15151 * 14 5 4 47 47 H 1.08997 * 111.01275 * 271.09473 * 16 15 14 48 48 H 1.09003 * 111.00934 * 34.97150 * 16 15 14 49 49 H 1.08998 * 110.35617 * 204.78419 * 17 16 15 50 50 H 1.09006 * 110.44905 * 82.54149 * 17 16 15 51 51 H 0.96997 * 120.00073 * 180.02562 * 22 21 19 52 52 H 1.09001 * 109.90597 * 239.11356 * 27 18 17 53 53 H 1.09003 * 110.06957 * 117.94299 * 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 1.5299 0.0000 0.0000 3 1 1.8941 1.0274 0.0000 4 6 2.0434 -0.7194 -1.2468 5 7 3.5042 -0.8639 -1.1429 6 6 4.3146 -0.4777 -2.1483 7 8 5.5070 -0.6893 -2.0815 8 6 3.7391 0.2171 -3.3554 9 6 4.8721 0.6133 -4.3042 10 6 2.7765 -0.7281 -4.0772 11 6 2.9843 1.4713 -2.9103 12 6 1.4894 1.5460 -3.2276 13 6 2.4803 2.4171 -4.0023 14 6 4.0529 -1.4384 0.0976 15 6 3.4234 -0.7142 1.2831 16 6 3.8367 -1.4000 2.6044 17 6 3.7432 -0.2218 3.6075 18 7 4.2010 0.9583 2.8506 19 6 4.7267 2.1004 3.3932 20 1 5.0333 2.9122 2.7504 21 6 4.8654 2.2146 4.7697 22 7 4.4913 1.2254 5.5532 23 14 5.5832 3.7723 5.5100 24 1 5.9218 4.7262 4.4235 25 1 4.5868 4.3924 6.4199 26 1 6.8108 3.4366 6.2751 27 6 3.9989 0.7046 1.4149 28 8 2.0080 -0.6765 1.1669 29 1 -0.3634 0.5122 0.8909 30 1 -0.3633 0.5154 -0.8891 31 1 -0.3633 -1.0278 -0.0018 32 1 1.7954 -0.1353 -2.1330 33 1 1.5819 -1.7047 -1.3133 34 1 4.4509 1.0353 -5.2167 35 1 5.5081 1.3549 -3.8208 36 1 5.4643 -0.2678 -4.5510 37 1 3.2938 -1.6557 -4.3224 38 1 1.9274 -0.9462 -3.4296 39 1 2.4227 -0.2562 -4.9937 40 1 3.3236 1.9173 -1.9755 41 1 1.0435 0.7015 -3.7530 42 1 0.8449 2.0411 -2.5013 43 1 2.4877 3.4853 -3.7856 44 1 2.6864 2.1459 -5.0377 45 1 3.8136 -2.5007 0.1472 46 1 5.1344 -1.3039 0.1175 47 1 3.1381 -2.1940 2.8678 48 1 4.8558 -1.7821 2.5442 49 1 4.3948 -0.3995 4.4630 50 1 2.7136 -0.0840 3.9382 51 1 4.5879 1.3053 6.5151 52 1 4.9515 0.7690 0.8890 53 1 3.2975 1.4296 1.0020 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 ZINC001071202239.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 21:32:57 Heat of formation + Delta-G solvation = -5.132759 kcal Electronic energy + Delta-G solvation = -32603.381987 eV Core-core repulsion = 28670.653207 eV Total energy + Delta-G solvation = -3932.728780 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.09 seconds Orbital eigenvalues (eV) -41.23559 -39.35399 -37.83621 -36.30305 -34.57018 -33.24951 -32.94883 -31.32214 -29.38517 -28.49788 -27.68259 -26.43036 -25.99591 -24.58020 -23.36023 -22.58434 -21.78513 -20.92944 -20.23228 -19.03438 -18.50490 -17.37166 -16.98854 -16.54720 -16.24245 -15.68911 -15.33048 -14.77830 -14.63766 -14.35404 -14.12221 -13.98882 -13.66084 -13.40803 -13.34251 -12.98937 -12.66548 -12.62108 -12.48568 -12.28694 -12.21284 -12.00933 -11.86371 -11.64197 -11.55735 -11.46438 -11.35414 -11.07864 -10.99655 -10.88940 -10.85836 -10.74189 -10.46048 -10.33685 -10.07707 -10.04352 -9.89112 -9.61136 -9.52339 -9.38358 -8.62453 -8.29577 -6.80483 -5.62840 -3.04150 2.62809 2.94199 3.41219 3.44844 3.46598 3.49165 3.88288 4.23217 4.35691 4.49760 4.56303 4.68995 4.74331 4.81152 4.83748 5.01817 5.08350 5.09892 5.22851 5.27977 5.31141 5.37131 5.41046 5.48581 5.49768 5.53604 5.57510 5.61793 5.62501 5.66247 5.70435 5.72487 5.84760 5.90270 5.92800 5.95448 6.01241 6.06284 6.13463 6.16215 6.28623 6.38482 6.50266 6.55555 6.64680 6.72561 7.42396 7.58884 7.64857 7.68130 7.87834 8.20320 8.37804 9.24376 9.84600 10.49943 11.41173 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.013892 B = 0.003850 C = 0.003665 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2015.069308 B = 7271.230134 C = 7636.974710 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 0.069 3.931 3 H 0.066 0.934 4 C 0.056 3.944 5 N -0.606 5.606 6 C 0.528 3.472 7 O -0.537 6.537 8 C -0.049 4.049 9 C -0.124 4.124 10 C -0.156 4.156 11 C -0.148 4.148 12 C -0.189 4.189 13 C -0.167 4.167 14 C 0.098 3.902 15 C 0.096 3.904 16 C -0.130 4.130 17 C 0.157 3.843 18 N -0.600 5.600 19 C -0.221 4.221 20 H 0.076 0.924 21 C -0.010 4.010 22 N -0.921 5.921 23 Si 0.913 3.087 24 H -0.281 1.281 25 H -0.290 1.290 26 H -0.290 1.290 27 C 0.123 3.877 28 O -0.355 6.355 29 H 0.069 0.931 30 H 0.069 0.931 31 H 0.063 0.937 32 H 0.119 0.881 33 H 0.070 0.930 34 H 0.061 0.939 35 H 0.063 0.937 36 H 0.063 0.937 37 H 0.062 0.938 38 H 0.074 0.926 39 H 0.069 0.931 40 H 0.110 0.890 41 H 0.104 0.896 42 H 0.099 0.901 43 H 0.096 0.904 44 H 0.097 0.903 45 H 0.071 0.929 46 H 0.101 0.899 47 H 0.071 0.929 48 H 0.075 0.925 49 H 0.107 0.893 50 H 0.017 0.983 51 H 0.251 0.749 52 H 0.027 0.973 53 H 0.023 0.977 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -8.797 -4.471 -20.340 22.607 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 0.084 0.916 4 C -0.067 4.067 5 N -0.339 5.339 6 C 0.316 3.684 7 O -0.414 6.414 8 C -0.053 4.053 9 C -0.181 4.181 10 C -0.213 4.213 11 C -0.167 4.167 12 C -0.226 4.226 13 C -0.203 4.203 14 C -0.025 4.025 15 C 0.055 3.945 16 C -0.169 4.169 17 C 0.033 3.967 18 N -0.326 5.326 19 C -0.349 4.349 20 H 0.094 0.906 21 C -0.205 4.205 22 N -0.570 5.570 23 Si 0.744 3.256 24 H -0.206 1.206 25 H -0.218 1.218 26 H -0.217 1.217 27 C -0.003 4.003 28 O -0.274 6.274 29 H 0.088 0.912 30 H 0.088 0.912 31 H 0.082 0.918 32 H 0.136 0.864 33 H 0.088 0.912 34 H 0.080 0.920 35 H 0.082 0.918 36 H 0.082 0.918 37 H 0.081 0.919 38 H 0.093 0.907 39 H 0.088 0.912 40 H 0.128 0.872 41 H 0.122 0.878 42 H 0.118 0.882 43 H 0.115 0.885 44 H 0.115 0.885 45 H 0.089 0.911 46 H 0.119 0.881 47 H 0.090 0.910 48 H 0.094 0.906 49 H 0.125 0.875 50 H 0.035 0.965 51 H 0.062 0.938 52 H 0.045 0.955 53 H 0.040 0.960 Dipole moment (debyes) X Y Z Total from point charges -8.207 -4.574 -19.969 22.069 hybrid contribution 0.386 0.968 0.309 1.087 sum -7.820 -3.606 -19.660 21.464 Atomic orbital electron populations 1.21702 0.92649 1.02839 1.02696 1.22347 0.95085 0.96365 0.85129 0.91576 1.23066 0.80304 1.01998 1.01288 1.48096 1.06757 1.62406 1.16620 1.20433 0.86279 0.78134 0.83565 1.90692 1.15345 1.55839 1.79493 1.20270 0.96984 0.94080 0.93925 1.21633 0.96642 1.02288 0.97543 1.22287 0.99147 0.99112 1.00778 1.22297 0.95752 0.97679 1.00934 1.23288 0.92042 1.03183 1.04076 1.23002 1.03080 0.97345 0.96915 1.22246 1.00645 0.97146 0.82467 1.22284 0.80776 0.96550 0.94891 1.22999 1.00239 0.99854 0.93811 1.21937 0.98812 0.82127 0.93842 1.44494 1.73104 1.16009 0.98971 1.19101 1.33064 0.92397 0.90359 0.90646 1.24766 1.01650 0.98287 0.95844 1.69805 1.53299 1.30701 1.03150 0.86011 0.78374 0.82210 0.78993 1.20598 1.21752 1.21683 1.21694 0.96966 0.92982 0.88661 1.87866 1.20432 1.76766 1.42293 0.91200 0.91242 0.91835 0.86356 0.91167 0.92047 0.91773 0.91753 0.91864 0.90749 0.91234 0.87181 0.87759 0.88238 0.88504 0.88510 0.91089 0.88111 0.91043 0.90609 0.87524 0.96460 0.93780 0.95470 0.95964 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 -1.51 9.57 37.15 0.36 -1.15 16 2 C 0.07 0.96 3.15 -26.82 -0.08 0.87 16 3 H 0.07 1.02 6.22 -51.93 -0.32 0.70 16 4 C 0.06 0.65 4.02 -3.77 -0.02 0.63 16 5 N -0.61 -8.72 2.94 -172.90 -0.51 -9.23 16 6 C 0.53 7.86 6.43 -10.99 -0.07 7.79 16 7 O -0.54 -9.98 15.41 5.55 0.09 -9.90 16 8 C -0.05 -0.53 0.61 -155.66 -0.09 -0.63 16 9 C -0.12 -1.30 7.50 37.15 0.28 -1.02 16 10 C -0.16 -1.27 6.77 37.16 0.25 -1.02 16 11 C -0.15 -1.48 3.95 -90.61 -0.36 -1.83 16 12 C -0.19 -1.40 7.70 -26.73 -0.21 -1.61 16 13 C -0.17 -1.28 9.55 -26.73 -0.26 -1.53 16 14 C 0.10 1.60 5.18 -3.85 -0.02 1.58 16 15 C 0.10 1.79 0.81 -89.74 -0.07 1.72 16 16 C -0.13 -2.57 6.21 -24.88 -0.15 -2.73 16 17 C 0.16 3.96 5.89 -2.44 -0.01 3.94 16 18 N -0.60 -15.95 3.40 -170.23 -0.58 -16.53 16 19 C -0.22 -6.35 10.28 -15.06 -0.15 -6.51 16 20 H 0.08 2.12 7.83 -52.49 -0.41 1.71 16 21 C -0.01 -0.29 5.49 -17.43 -0.10 -0.38 16 22 N -0.92 -27.23 10.09 55.49 0.56 -26.67 16 23 Si 0.91 22.51 29.55 -169.99 -5.02 17.49 16 24 H -0.28 -6.74 7.11 56.52 0.40 -6.34 16 25 H -0.29 -7.17 7.11 56.52 0.40 -6.77 16 26 H -0.29 -7.15 7.11 56.52 0.40 -6.75 16 27 C 0.12 2.75 6.33 -3.32 -0.02 2.73 16 28 O -0.35 -6.33 9.90 -35.23 -0.35 -6.68 16 29 H 0.07 0.83 8.14 -51.93 -0.42 0.41 16 30 H 0.07 0.54 8.14 -51.93 -0.42 0.11 16 31 H 0.06 0.63 8.14 -51.92 -0.42 0.21 16 32 H 0.12 1.10 1.34 -51.93 -0.07 1.03 16 33 H 0.07 0.75 8.14 -51.93 -0.42 0.33 16 34 H 0.06 0.49 7.05 -51.93 -0.37 0.13 16 35 H 0.06 0.76 8.14 -51.93 -0.42 0.34 16 36 H 0.06 0.73 7.91 -51.93 -0.41 0.31 16 37 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 38 H 0.07 0.55 4.28 -51.93 -0.22 0.33 16 39 H 0.07 0.44 7.65 -51.93 -0.40 0.04 16 40 H 0.11 1.38 8.05 -51.93 -0.42 0.96 16 41 H 0.10 0.62 5.72 -51.93 -0.30 0.33 16 42 H 0.10 0.72 8.14 -51.93 -0.42 0.30 16 43 H 0.10 0.73 8.14 -51.93 -0.42 0.31 16 44 H 0.10 0.64 7.19 -51.93 -0.37 0.26 16 45 H 0.07 1.06 8.14 -51.93 -0.42 0.63 16 46 H 0.10 1.83 6.88 -51.93 -0.36 1.47 16 47 H 0.07 1.28 8.14 -51.93 -0.42 0.86 16 48 H 0.08 1.43 8.01 -51.93 -0.42 1.02 16 49 H 0.11 2.97 5.88 -51.93 -0.31 2.66 16 50 H 0.02 0.47 8.14 -51.93 -0.42 0.05 16 51 H 0.25 7.18 8.31 -40.82 -0.34 6.84 16 52 H 0.03 0.64 7.61 -51.93 -0.40 0.24 16 53 H 0.02 0.51 6.00 -51.93 -0.31 0.20 16 LS Contribution 387.55 15.07 5.84 5.84 Total: -1.00 -33.24 387.55 -9.56 -42.80 By element: Atomic # 1 Polarization: 10.89 SS G_CDS: -8.86 Total: 2.03 kcal Atomic # 6 Polarization: 1.58 SS G_CDS: -0.73 Total: 0.85 kcal Atomic # 7 Polarization: -51.90 SS G_CDS: -0.53 Total: -52.43 kcal Atomic # 8 Polarization: -16.31 SS G_CDS: -0.26 Total: -16.57 kcal Atomic # 14 Polarization: 22.51 SS G_CDS: -5.02 Total: 17.49 kcal Total LS contribution 5.84 Total: 5.84 kcal Total: -33.24 -9.56 -42.80 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. ZINC001071202239.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 37.669 kcal (2) G-P(sol) polarization free energy of solvation -33.238 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 4.430 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.563 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.801 kcal (6) G-S(sol) free energy of system = (1) + (5) -5.133 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.09 seconds