Wall clock time and date at job start Mon Mar 8 2021 16:16:23 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= 0 * 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 O 1.42899 * 1 3 3 C 1.35900 * 116.99804 * 2 1 4 4 C 1.38752 * 120.03018 * 0.25846 * 3 2 1 5 5 C 1.38196 * 120.05572 * 180.29679 * 4 3 2 6 6 C 1.38153 * 120.10944 * 359.72302 * 5 4 3 7 7 C 1.38796 * 120.05218 * 359.97438 * 6 5 4 8 8 O 1.35897 * 120.02533 * 179.97438 * 7 6 5 9 9 C 1.42901 * 117.00144 * 0.02680 * 8 7 6 10 10 C 1.53003 * 109.47331 * 179.97438 * 9 8 7 11 11 H 1.08995 * 112.84737 * 45.33169 * 10 9 8 12 12 C 1.53781 * 113.61361 * 176.52853 * 10 9 8 13 13 C 1.53780 * 87.07844 * 139.97935 * 12 10 9 14 14 H 1.09006 * 113.61190 * 89.20060 * 13 12 10 15 15 N 1.46504 * 113.61292 * 220.01491 * 13 12 10 16 16 C 1.34783 * 119.99815 * 205.00044 * 15 13 12 17 17 O 1.21517 * 119.99898 * 0.02562 * 16 15 13 18 18 O 1.34634 * 119.99894 * 179.97438 * 16 15 13 19 19 C 1.45193 * 117.00212 * 179.97438 * 18 16 15 20 20 C 1.53004 * 109.46993 * 60.00074 * 19 18 16 21 21 C 1.52991 * 109.47370 * 180.02562 * 19 18 16 22 22 C 1.53007 * 109.47371 * 300.00744 * 19 18 16 23 23 C 1.53783 * 113.61414 * 274.13617 * 10 9 8 24 24 C 1.38613 * 119.94858 * 0.02562 * 7 6 5 25 25 C 1.50699 * 120.05529 * 179.97438 * 24 7 6 26 26 O 1.42905 * 109.46664 * 124.96260 * 25 24 7 27 27 Si 1.86297 * 109.47178 * 244.95914 * 25 24 7 28 28 H 1.09005 * 109.46985 * 299.99669 * 1 2 3 29 29 H 1.08996 * 109.47238 * 59.99729 * 1 2 3 30 30 H 1.08998 * 109.47235 * 179.97438 * 1 2 3 31 31 H 1.08003 * 119.96954 * 0.02562 * 4 3 2 32 32 H 1.07997 * 119.94409 * 179.70065 * 5 4 3 33 33 H 1.07997 * 119.97268 * 180.02562 * 6 5 4 34 34 H 1.09002 * 109.46838 * 299.99985 * 9 8 7 35 35 H 1.09004 * 109.46995 * 59.99660 * 9 8 7 36 36 H 1.09001 * 113.61205 * 254.53078 * 12 10 9 37 37 H 1.09000 * 113.61463 * 25.35188 * 12 10 9 38 38 H 0.96996 * 119.99838 * 25.00648 * 15 13 12 39 39 H 1.09005 * 109.46725 * 60.00433 * 20 19 18 40 40 H 1.08997 * 109.47450 * 180.02562 * 20 19 18 41 41 H 1.08993 * 109.47359 * 300.00312 * 20 19 18 42 42 H 1.09000 * 109.47645 * 60.00306 * 21 19 18 43 43 H 1.09011 * 109.47623 * 180.02562 * 21 19 18 44 44 H 1.09005 * 109.47339 * 300.00174 * 21 19 18 45 45 H 1.08993 * 109.47171 * 59.99571 * 22 19 18 46 46 H 1.08998 * 109.47300 * 180.02562 * 22 19 18 47 47 H 1.09004 * 109.46276 * 299.99421 * 22 19 18 48 48 H 1.09001 * 113.61267 * 334.56988 * 23 10 9 49 49 H 1.08999 * 113.61616 * 105.46956 * 23 10 9 50 50 H 1.08999 * 109.46813 * 4.96398 * 25 24 7 51 51 H 0.96695 * 114.00044 * 304.77509 * 26 25 24 52 52 H 1.48496 * 110.00203 * 294.50488 * 27 25 24 53 53 H 1.48503 * 109.99701 * 55.82714 * 27 25 24 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 8 1.4290 0.0000 0.0000 3 6 2.0459 1.2109 0.0000 4 6 1.2908 2.3749 0.0054 5 6 1.9176 3.6066 -0.0008 6 6 3.2970 3.6822 -0.0066 7 6 4.0568 2.5207 -0.0057 8 8 5.4137 2.5957 -0.0119 9 6 5.9912 3.9028 -0.0187 10 6 7.5168 3.7864 -0.0244 11 1 7.8822 3.0477 -0.7378 12 6 8.2376 5.1416 -0.1172 13 6 9.2483 4.5847 0.8993 14 1 10.0889 4.0650 0.4393 15 7 9.6664 5.5625 1.9070 16 6 10.8572 5.4272 2.5238 17 8 11.5841 4.4946 2.2437 18 8 11.2416 6.3260 3.4496 19 6 12.5361 6.1173 4.0733 20 6 13.6279 6.1383 3.0016 21 6 12.7975 7.2301 5.0902 22 6 12.5466 4.7632 4.7856 23 6 8.1289 3.6429 1.3790 24 6 3.4305 1.2841 0.0005 25 6 4.2532 0.0214 0.0009 26 8 3.8707 -0.7958 1.1091 27 14 3.9628 -0.9094 -1.5865 28 1 -0.3633 0.5138 0.8901 29 1 -0.3633 0.5139 -0.8899 30 1 -0.3633 -1.0276 -0.0005 31 1 0.2123 2.3184 0.0101 32 1 1.3281 4.5114 -0.0014 33 1 3.7845 4.6459 -0.0110 34 1 5.6640 4.4399 -0.9090 35 1 5.6719 4.4457 0.8710 36 1 8.6693 5.3403 -1.0982 37 1 7.6488 5.9763 0.2631 38 1 9.0863 6.3070 2.1304 39 1 13.6204 7.1029 2.4942 40 1 14.5996 5.9811 3.4698 41 1 13.4414 5.3453 2.2775 42 1 12.0197 7.2148 5.8537 43 1 13.7696 7.0737 5.5582 44 1 12.7899 8.1949 4.5831 45 1 12.3602 3.9703 4.0614 46 1 13.5182 4.6068 5.2543 47 1 11.7688 4.7484 5.5491 48 1 7.5108 4.0669 2.1704 49 1 8.4730 2.6335 1.6042 50 1 5.3096 0.2762 0.0848 51 1 3.9260 -0.3490 1.9648 52 1 2.5550 -1.3774 -1.6506 53 1 4.2611 -0.0355 -2.7495 There are 69 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 69 No. of singly occupied orbitals= 1 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=0 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 s_7_215219_15734236.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Mon Mar 8 2021 16:16:23 Heat of formation + Delta-G solvation = -134.110298 kcal Electronic energy + Delta-G solvation = -33516.496206 eV Core-core repulsion = 28935.828884 eV Total energy + Delta-G solvation = -4580.667323 eV No. of doubly occupied orbitals = 69 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 366.197 amu Computer time = 1.26 seconds Orbital eigenvalues (eV) -41.91119 -41.69491 -40.67072 -39.75000 -37.94516 -37.52820 -37.11965 -35.30408 -34.22612 -32.61600 -30.65989 -29.42909 -28.32468 -28.30390 -28.27876 -26.93770 -26.47829 -24.97735 -23.13769 -22.72368 -22.08737 -21.39251 -20.58266 -19.67498 -19.04019 -18.34845 -18.00494 -17.53073 -17.31186 -17.21168 -17.04856 -16.81717 -16.53101 -16.44927 -16.17149 -15.67502 -15.39901 -15.37495 -15.26903 -15.02817 -14.45658 -14.22993 -14.12441 -13.88762 -13.71194 -13.50551 -13.45749 -13.40483 -13.13106 -13.09836 -12.85140 -12.82009 -12.76580 -12.64870 -12.46080 -12.36085 -12.27453 -12.16519 -11.93016 -11.85947 -11.65613 -11.43768 -11.28822 -11.16710 -10.95136 -10.79421 -10.16271 -9.38326 -9.17707 -4.64512 0.20234 0.36052 1.19248 1.67165 1.73948 1.87824 1.91678 2.35100 2.54475 2.63808 3.11576 3.23567 3.32858 3.57357 3.60219 3.63263 3.78506 3.83965 3.84776 3.89269 3.94110 3.97946 4.05471 4.11941 4.13176 4.18030 4.21140 4.27034 4.33597 4.45136 4.50773 4.54002 4.56283 4.56921 4.59628 4.63679 4.72984 4.78721 4.79099 4.85447 4.88158 4.91279 4.94002 5.05400 5.09855 5.11323 5.22056 5.33010 5.36672 5.37501 5.42692 5.48538 5.60750 6.24135 6.35416 6.41382 6.80554 7.42981 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.023 3.977 2 O -0.293 6.293 3 C 0.178 3.822 4 C -0.248 4.248 5 C -0.034 4.034 6 C -0.248 4.248 7 C 0.180 3.820 8 O -0.305 6.305 9 C 0.071 3.929 10 C -0.107 4.107 11 H 0.110 0.890 12 C -0.136 4.136 13 C 0.141 3.859 14 H 0.123 0.877 15 N -0.702 5.702 16 C 0.650 3.350 17 O -0.565 6.565 18 O -0.366 6.366 19 C 0.137 3.863 20 C -0.184 4.184 21 C -0.142 4.142 22 C -0.184 4.184 23 C -0.146 4.146 24 C -0.194 4.194 25 C -0.056 4.056 26 O -0.531 6.531 27 Si 0.741 3.259 28 H 0.058 0.942 29 H 0.055 0.945 30 H 0.104 0.896 31 H 0.133 0.867 32 H 0.131 0.869 33 H 0.132 0.868 34 H 0.068 0.932 35 H 0.067 0.933 36 H 0.086 0.914 37 H 0.092 0.908 38 H 0.406 0.594 39 H 0.060 0.940 40 H 0.072 0.928 41 H 0.087 0.913 42 H 0.067 0.933 43 H 0.082 0.918 44 H 0.067 0.933 45 H 0.087 0.913 46 H 0.072 0.928 47 H 0.059 0.941 48 H 0.088 0.912 49 H 0.081 0.919 50 H 0.076 0.924 51 H 0.360 0.640 52 H -0.242 1.242 53 H -0.262 1.262 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.214 3.725 0.412 3.939 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 -0.072 4.072 2 O -0.205 6.205 3 C 0.132 3.868 4 C -0.267 4.267 5 C -0.052 4.052 6 C -0.267 4.267 7 C 0.134 3.866 8 O -0.218 6.218 9 C -0.004 4.004 10 C -0.126 4.126 11 H 0.129 0.871 12 C -0.174 4.174 13 C 0.037 3.963 14 H 0.141 0.859 15 N -0.360 5.360 16 C 0.404 3.596 17 O -0.454 6.454 18 O -0.280 6.280 19 C 0.100 3.900 20 C -0.241 4.241 21 C -0.199 4.199 22 C -0.241 4.241 23 C -0.185 4.185 24 C -0.196 4.196 25 C -0.164 4.164 26 O -0.335 6.335 27 Si 0.639 3.361 28 H 0.077 0.923 29 H 0.074 0.926 30 H 0.122 0.878 31 H 0.150 0.850 32 H 0.149 0.851 33 H 0.149 0.851 34 H 0.086 0.914 35 H 0.085 0.915 36 H 0.105 0.895 37 H 0.110 0.890 38 H 0.241 0.759 39 H 0.079 0.921 40 H 0.091 0.909 41 H 0.106 0.894 42 H 0.086 0.914 43 H 0.101 0.899 44 H 0.086 0.914 45 H 0.106 0.894 46 H 0.091 0.909 47 H 0.079 0.921 48 H 0.106 0.894 49 H 0.100 0.900 50 H 0.094 0.906 51 H 0.207 0.793 52 H -0.166 1.166 53 H -0.187 1.187 Dipole moment (debyes) X Y Z Total from point charges -1.078 2.462 -0.870 2.825 hybrid contribution -0.995 2.390 1.167 2.840 sum -2.073 4.852 0.297 5.285 Atomic orbital electron populations 1.23154 0.78164 1.04448 1.01415 1.86280 1.21325 1.25523 1.87344 1.18505 0.90863 0.84924 0.92543 1.21201 1.00426 0.92060 1.12994 1.20774 0.93762 0.97285 0.93373 1.21156 0.94912 0.97393 1.13204 1.18346 0.82488 0.92541 0.93232 1.86044 1.16741 1.31133 1.87850 1.22881 0.92890 0.82807 1.01843 1.22358 0.91934 0.98969 0.99364 0.87141 1.23390 0.96867 0.96731 1.00392 1.22545 0.96385 0.89480 0.87860 0.85902 1.44746 1.17916 1.31157 1.42229 1.18172 0.82221 0.80822 0.78399 1.90920 1.53703 1.33799 1.66966 1.86304 1.39272 1.50820 1.51650 1.22118 0.78783 0.96724 0.92370 1.22522 0.98085 1.03747 0.99763 1.21880 1.02731 0.97469 0.97828 1.22522 1.02911 0.97191 1.01499 1.23639 0.97180 1.01275 0.96424 1.18842 0.91280 0.94186 1.15280 1.24866 0.98483 0.92354 1.00739 1.86742 1.90630 1.40015 1.16110 0.93997 0.84599 0.85626 0.71902 0.92303 0.92617 0.87801 0.84962 0.85150 0.85059 0.91377 0.91490 0.89538 0.88974 0.75885 0.92140 0.90918 0.89413 0.91413 0.89917 0.91419 0.89398 0.90920 0.92144 0.89373 0.90016 0.90611 0.79329 1.16560 1.18719 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 0.02 0.00 9.81 101.05 0.99 0.99 16 2 O -0.29 -1.06 7.34 -31.21 -0.23 -1.29 16 3 C 0.18 0.61 6.11 -39.24 -0.24 0.37 16 4 C -0.25 -0.41 9.04 -39.41 -0.36 -0.77 16 5 C -0.03 -0.02 10.04 -39.63 -0.40 -0.42 16 6 C -0.25 -0.24 9.04 -39.41 -0.36 -0.59 16 7 C 0.18 0.43 6.66 -39.24 -0.26 0.17 16 8 O -0.30 -0.42 8.91 -19.42 -0.17 -0.59 16 9 C 0.07 -0.12 4.56 37.16 0.17 0.05 16 10 C -0.11 0.26 4.00 -89.80 -0.36 -0.10 16 11 H 0.11 -0.24 8.14 -51.93 -0.42 -0.66 16 12 C -0.14 0.47 7.40 -25.92 -0.19 0.28 16 13 C 0.14 -0.20 4.24 -67.03 -0.28 -0.48 16 14 H 0.12 0.00 7.46 -51.93 -0.39 -0.38 16 15 N -0.70 0.34 5.36 -57.84 -0.31 0.03 16 16 C 0.65 1.71 8.06 54.06 0.44 2.15 16 17 O -0.57 -2.82 11.48 -19.29 -0.22 -3.04 16 18 O -0.37 -0.86 9.94 -40.31 -0.40 -1.26 16 19 C 0.14 0.18 1.13 -90.62 -0.10 0.08 16 20 C -0.18 -0.24 8.37 37.16 0.31 0.07 16 21 C -0.14 0.10 8.85 37.15 0.33 0.43 16 22 C -0.18 -0.26 8.37 37.16 0.31 0.05 16 23 C -0.15 0.23 7.45 -25.83 -0.19 0.04 16 24 C -0.19 -0.67 4.43 -104.33 -0.46 -1.14 16 25 C -0.06 -0.17 2.65 36.01 0.10 -0.07 16 26 O -0.53 -1.72 11.90 -47.01 -0.56 -2.28 16 27 Si 0.74 1.97 31.67 -169.99 -5.38 -3.42 16 28 H 0.06 -0.08 7.65 -51.93 -0.40 -0.47 16 29 H 0.06 -0.05 7.67 -51.93 -0.40 -0.45 16 30 H 0.10 -0.14 8.14 -51.93 -0.42 -0.56 16 31 H 0.13 -0.04 6.29 -52.48 -0.33 -0.37 16 32 H 0.13 -0.22 8.06 -52.49 -0.42 -0.64 16 33 H 0.13 -0.17 6.29 -52.49 -0.33 -0.50 16 34 H 0.07 -0.16 7.66 -51.93 -0.40 -0.56 16 35 H 0.07 -0.17 7.39 -51.93 -0.38 -0.55 16 36 H 0.09 -0.32 8.14 -51.93 -0.42 -0.75 16 37 H 0.09 -0.43 8.08 -51.93 -0.42 -0.85 16 38 H 0.41 -1.05 8.84 -40.82 -0.36 -1.41 16 39 H 0.06 0.06 8.14 -51.93 -0.42 -0.36 16 40 H 0.07 0.00 8.14 -51.93 -0.42 -0.42 16 41 H 0.09 0.30 5.88 -51.93 -0.31 -0.01 16 42 H 0.07 -0.05 8.14 -51.93 -0.42 -0.48 16 43 H 0.08 -0.16 8.14 -51.92 -0.42 -0.59 16 44 H 0.07 -0.06 8.14 -51.93 -0.42 -0.48 16 45 H 0.09 0.31 5.88 -51.93 -0.31 0.00 16 46 H 0.07 0.00 8.14 -51.93 -0.42 -0.42 16 47 H 0.06 0.07 8.14 -51.93 -0.42 -0.35 16 48 H 0.09 -0.15 7.92 -51.93 -0.41 -0.56 16 49 H 0.08 -0.04 8.14 -51.93 -0.42 -0.46 16 50 H 0.08 0.17 6.83 -51.93 -0.35 -0.18 16 51 H 0.36 0.29 9.02 45.56 0.41 0.70 16 52 H -0.24 -1.25 6.47 56.52 0.37 -0.88 16 53 H -0.26 -1.19 7.11 56.52 0.40 -0.79 16 LS Contribution 420.86 15.07 6.34 6.34 Total: 0.00 -7.65 420.86 -10.17 -17.82 By element: Atomic # 1 Polarization: -4.75 SS G_CDS: -8.68 Total: -13.43 kcal Atomic # 6 Polarization: 1.67 SS G_CDS: -0.56 Total: 1.11 kcal Atomic # 7 Polarization: 0.34 SS G_CDS: -0.31 Total: 0.03 kcal Atomic # 8 Polarization: -6.88 SS G_CDS: -1.58 Total: -8.46 kcal Atomic # 14 Polarization: 1.97 SS G_CDS: -5.38 Total: -3.42 kcal Total LS contribution 6.34 Total: 6.34 kcal Total: -7.65 -10.17 -17.82 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. s_7_215219_15734236.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 -116.287 kcal (2) G-P(sol) polarization free energy of solvation -7.652 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -123.939 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.171 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -17.823 kcal (6) G-S(sol) free energy of system = (1) + (5) -134.110 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.26 seconds