Wall clock time and date at job start Sat Apr 11 2020 06:10:22 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 1.52999 * 1 3 3 C 1.53003 * 109.46966 * 2 1 4 4 C 1.52997 * 109.47335 * 181.01008 * 3 2 1 5 5 C 1.52994 * 109.47320 * 174.99819 * 4 3 2 6 6 C 1.53001 * 109.47245 * 61.00481 * 3 2 1 7 7 N 1.46898 * 109.47252 * 287.50673 * 6 3 2 8 8 C 1.46898 * 111.00352 * 287.75603 * 7 6 3 9 9 C 1.50704 * 109.46909 * 78.21637 * 8 7 6 10 10 H 1.07997 * 119.99938 * 4.13006 * 9 8 7 11 11 C 1.37871 * 119.99861 * 184.12187 * 9 8 7 12 12 N 1.31522 * 120.00220 * 180.02562 * 11 9 8 13 13 Si 1.86802 * 120.00321 * 0.02562 * 11 9 8 14 14 H 1.48495 * 109.47405 * 89.99374 * 13 11 9 15 15 H 1.48496 * 109.47210 * 209.99813 * 13 11 9 16 16 H 1.48503 * 109.46619 * 329.99344 * 13 11 9 17 17 C 1.46904 * 110.99733 * 163.80202 * 7 6 3 18 18 N 1.46500 * 109.46945 * 278.95539 * 17 7 6 19 19 C 1.46764 * 124.35004 * 90.00290 * 18 17 7 20 20 C 1.54479 * 105.47458 * 197.01341 * 19 18 17 21 21 H 1.09001 * 110.97305 * 216.46725 * 20 19 18 22 22 C 1.50693 * 110.96804 * 92.70309 * 20 19 18 23 23 O 1.20826 * 120.00526 * 359.97438 * 22 20 19 24 24 O 1.34228 * 119.99989 * 180.02562 * 22 20 19 25 25 C 1.45199 * 117.00344 * 179.97438 * 24 22 20 26 26 C 1.54633 * 101.76415 * 334.58396 * 20 19 18 27 27 C 1.34426 * 124.35107 * 269.69960 * 18 17 7 28 28 O 1.21277 * 124.93735 * 359.57578 * 27 18 17 29 29 H 1.09002 * 109.47364 * 63.96628 * 1 2 3 30 30 H 1.09003 * 109.46833 * 183.96239 * 1 2 3 31 31 H 1.08996 * 109.47290 * 303.96560 * 1 2 3 32 32 H 1.08997 * 109.47751 * 239.99882 * 2 1 3 33 33 H 1.08994 * 109.47305 * 119.99591 * 2 1 3 34 34 H 1.09009 * 109.47070 * 301.00623 * 3 2 1 35 35 H 1.09004 * 109.46959 * 294.99821 * 4 3 2 36 36 H 1.09000 * 109.47093 * 54.99341 * 4 3 2 37 37 H 1.09000 * 109.47428 * 59.99727 * 5 4 3 38 38 H 1.08998 * 109.47467 * 180.02562 * 5 4 3 39 39 H 1.09004 * 109.47107 * 299.99912 * 5 4 3 40 40 H 1.09003 * 109.46595 * 47.51193 * 6 3 2 41 41 H 1.08997 * 109.46642 * 167.50594 * 6 3 2 42 42 H 1.08993 * 109.47290 * 198.21980 * 8 7 6 43 43 H 1.09003 * 109.46644 * 318.22282 * 8 7 6 44 44 H 0.96994 * 119.99950 * 180.02562 * 12 11 9 45 45 H 1.09000 * 109.46984 * 38.95792 * 17 7 6 46 46 H 1.08997 * 109.47082 * 158.95763 * 17 7 6 47 47 H 1.08994 * 110.24447 * 316.01519 * 19 18 17 48 48 H 1.09006 * 110.24730 * 77.92534 * 19 18 17 49 49 H 1.09004 * 109.47392 * 179.97438 * 25 24 22 50 50 H 1.09004 * 109.47275 * 299.99831 * 25 24 22 51 51 H 1.09005 * 109.47127 * 59.99916 * 25 24 22 52 52 H 1.08996 * 110.48283 * 143.47508 * 26 20 19 53 53 H 1.08997 * 110.48542 * 265.98785 * 26 20 19 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 6 2.0400 1.4425 0.0000 4 6 3.5697 1.4427 -0.0254 5 6 4.0776 2.8804 -0.1512 6 6 1.5507 2.1565 1.2617 7 7 0.1105 2.4221 1.1467 8 6 -0.1516 3.4917 0.1746 9 6 -0.0498 2.9364 -1.2228 10 1 0.1198 1.8805 -1.3732 11 6 -0.1735 3.7764 -2.3090 12 7 -0.0852 3.2918 -3.5285 13 14 -0.4664 5.6029 -2.0489 14 1 0.8385 6.3069 -1.9671 15 1 -1.2511 6.1454 -3.1869 16 1 -1.2198 5.8083 -0.7857 17 6 -0.4710 2.7467 2.4561 18 7 -0.7321 1.5089 3.1949 19 6 0.2315 0.8616 4.0930 20 6 -0.2884 -0.5803 4.2852 21 1 -0.1100 -0.9269 5.3031 22 6 0.3345 -1.5164 3.2819 23 8 1.1268 -1.0948 2.4730 24 8 0.0084 -2.8184 3.2863 25 6 0.6468 -3.6613 2.2911 26 6 -1.8015 -0.4083 4.0165 27 6 -1.8870 0.8230 3.1418 28 8 -2.8555 1.1434 2.4859 29 1 -0.3634 0.4510 -0.9234 30 1 -0.3633 -1.0253 0.0710 31 1 -0.3634 0.5741 0.8523 32 1 1.8934 -0.5138 -0.8899 33 1 1.8933 -0.5137 0.8900 34 1 1.6619 1.9616 -0.8809 35 1 3.9485 1.0030 0.8973 36 1 3.9190 0.8582 -0.8765 37 1 3.7283 3.4650 0.6999 38 1 5.1674 2.8805 -0.1698 39 1 3.6988 3.3201 -1.0739 40 1 1.7356 1.5254 2.1310 41 1 2.0860 3.0990 1.3765 42 1 -1.1530 3.8910 0.3348 43 1 0.5819 4.2876 0.3035 44 1 -0.1718 3.8829 -4.2927 45 1 0.2264 3.3662 3.0199 46 1 -1.4058 3.2891 2.3141 47 1 1.2215 0.8480 3.6374 48 1 0.2643 1.3828 5.0498 49 1 0.2964 -4.6872 2.4049 50 1 0.3958 -3.2998 1.2938 51 1 1.7278 -3.6296 2.4276 52 1 -2.1975 -1.2791 3.4940 53 1 -2.3391 -0.2481 4.9510 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 ZINC000181370029.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:10:22 Heat of formation + Delta-G solvation = -87.577168 kcal Electronic energy + Delta-G solvation = -33945.153152 eV Core-core repulsion = 29818.393263 eV Total energy + Delta-G solvation = -4126.759890 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.68 seconds Orbital eigenvalues (eV) -41.10372 -39.62660 -37.94886 -36.70066 -35.89291 -34.57983 -32.74440 -31.73822 -31.12634 -28.31708 -27.83793 -27.67142 -26.84130 -24.92369 -23.64476 -23.10494 -21.10133 -20.59542 -20.41181 -19.26505 -19.20987 -18.01261 -17.05556 -16.83266 -16.38599 -16.15693 -15.69958 -15.31906 -14.75742 -14.54418 -14.27729 -13.83794 -13.77876 -13.58282 -13.42010 -13.22084 -13.15619 -12.82463 -12.52506 -12.27982 -12.19516 -12.16046 -11.98325 -11.87832 -11.67152 -11.55238 -11.35806 -11.19172 -10.93342 -10.75478 -10.61318 -10.56142 -10.43950 -10.28191 -9.96084 -9.86436 -9.77035 -9.58284 -9.54196 -9.39762 -8.64555 -8.50694 -8.28377 -7.11999 -5.96415 -3.91145 2.17581 2.53293 2.80680 3.21826 3.31215 3.40111 3.41626 4.07338 4.23466 4.47788 4.51885 4.72216 4.83576 5.01491 5.05987 5.16696 5.28468 5.30745 5.32804 5.40334 5.47570 5.55641 5.59744 5.62654 5.69413 5.82803 5.85207 5.99783 6.21297 6.26696 6.30893 6.41562 6.48987 6.58536 6.60128 6.64652 6.77923 6.79542 6.85266 6.89113 7.04713 7.12203 7.22570 7.33532 7.42958 7.64107 7.77461 7.87809 7.98157 8.05623 8.16150 8.42185 8.73766 9.19839 9.64119 11.13925 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.012210 B = 0.004812 C = 0.004191 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2292.637305 B = 5817.158626 C = 6679.160575 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.153 4.153 2 C -0.100 4.100 3 C -0.114 4.114 4 C -0.111 4.111 5 C -0.150 4.150 6 C 0.078 3.922 7 N -0.527 5.527 8 C 0.165 3.835 9 C -0.510 4.510 10 H 0.112 0.888 11 C 0.069 3.931 12 N -0.898 5.898 13 Si 0.867 3.133 14 H -0.280 1.280 15 H -0.288 1.288 16 H -0.269 1.269 17 C 0.286 3.714 18 N -0.603 5.603 19 C 0.109 3.891 20 C -0.095 4.095 21 H 0.130 0.870 22 C 0.453 3.547 23 O -0.462 6.462 24 O -0.362 6.362 25 C 0.037 3.963 26 C -0.145 4.145 27 C 0.519 3.481 28 O -0.516 6.516 29 H 0.060 0.940 30 H -0.001 1.001 31 H 0.103 0.897 32 H 0.027 0.973 33 H 0.069 0.931 34 H 0.135 0.865 35 H 0.043 0.957 36 H 0.052 0.948 37 H 0.049 0.951 38 H 0.038 0.962 39 H 0.059 0.941 40 H 0.056 0.944 41 H 0.022 0.978 42 H 0.024 0.976 43 H -0.011 1.011 44 H 0.262 0.738 45 H 0.047 0.953 46 H 0.091 0.909 47 H 0.099 0.901 48 H 0.082 0.918 49 H 0.097 0.903 50 H 0.067 0.933 51 H 0.062 0.938 52 H 0.108 0.892 53 H 0.115 0.885 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 4.133 -9.569 19.226 21.870 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 -0.209 4.209 2 C -0.137 4.137 3 C -0.132 4.132 4 C -0.149 4.149 5 C -0.207 4.207 6 C -0.050 4.050 7 N -0.252 5.252 8 C 0.039 3.961 9 C -0.547 4.547 10 H 0.130 0.870 11 C -0.132 4.132 12 N -0.537 5.537 13 Si 0.695 3.305 14 H -0.206 1.206 15 H -0.214 1.214 16 H -0.194 1.194 17 C 0.075 3.925 18 N -0.338 5.338 19 C -0.015 4.015 20 C -0.114 4.114 21 H 0.147 0.853 22 C 0.294 3.706 23 O -0.347 6.347 24 O -0.279 6.279 25 C -0.056 4.056 26 C -0.185 4.185 27 C 0.305 3.695 28 O -0.391 6.391 29 H 0.079 0.921 30 H 0.018 0.982 31 H 0.121 0.879 32 H 0.045 0.955 33 H 0.087 0.913 34 H 0.152 0.848 35 H 0.062 0.938 36 H 0.071 0.929 37 H 0.068 0.932 38 H 0.058 0.942 39 H 0.078 0.922 40 H 0.074 0.926 41 H 0.040 0.960 42 H 0.042 0.958 43 H 0.007 0.993 44 H 0.072 0.928 45 H 0.065 0.935 46 H 0.109 0.891 47 H 0.117 0.883 48 H 0.100 0.900 49 H 0.116 0.884 50 H 0.085 0.915 51 H 0.080 0.920 52 H 0.126 0.874 53 H 0.133 0.867 Dipole moment (debyes) X Y Z Total from point charges 3.641 -9.557 18.183 20.861 hybrid contribution 0.506 1.540 0.084 1.623 sum 4.147 -8.017 18.267 20.375 Atomic orbital electron populations 1.22220 0.95348 0.97458 1.05921 1.21461 0.97126 0.95557 0.99592 1.21859 0.92256 0.97293 1.01799 1.21481 0.97287 0.96075 1.00087 1.21800 0.98973 0.97621 1.02284 1.22158 0.87003 0.97527 0.98297 1.61852 1.13152 1.44142 1.06047 1.20227 0.95219 0.88067 0.92572 1.21500 1.47679 0.98413 0.87146 0.87037 1.24904 0.95228 0.97802 0.95262 1.69882 1.50834 1.35208 0.97762 0.86996 0.78452 0.87100 0.78002 1.20556 1.21412 1.19410 1.21825 1.00057 0.82499 0.88137 1.48372 1.14320 1.26575 1.44559 1.22126 0.95331 0.89272 0.94730 1.21918 0.96372 0.93777 0.99348 0.85255 1.23365 0.80978 0.81895 0.84316 1.90714 1.31760 1.76461 1.35746 1.86428 1.65675 1.20450 1.55322 1.23263 0.97921 0.93166 0.91277 1.22365 0.94183 0.99404 1.02572 1.20590 0.82887 0.84574 0.81399 1.90768 1.34283 1.71370 1.42633 0.92146 0.98226 0.87912 0.95455 0.91323 0.84777 0.93836 0.92890 0.93189 0.94248 0.92160 0.92551 0.95987 0.95765 0.99341 0.92815 0.93490 0.89075 0.88342 0.90007 0.88421 0.91451 0.91961 0.87364 0.86677 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 -0.15 -3.32 7.76 37.16 0.29 -3.03 16 2 C -0.10 -1.99 5.15 -26.73 -0.14 -2.12 16 3 C -0.11 -2.27 1.83 -90.62 -0.17 -2.44 16 4 C -0.11 -1.93 5.40 -26.74 -0.14 -2.07 16 5 C -0.15 -2.49 9.69 37.15 0.36 -2.13 16 6 C 0.08 1.42 3.99 -3.82 -0.02 1.40 16 7 N -0.53 -10.49 1.45 -239.98 -0.35 -10.83 16 8 C 0.17 3.88 3.84 -4.98 -0.02 3.86 16 9 C -0.51 -13.84 7.37 -34.44 -0.25 -14.09 16 10 H 0.11 3.23 3.15 -52.49 -0.17 3.06 16 11 C 0.07 1.97 5.47 -17.82 -0.10 1.87 16 12 N -0.90 -27.11 13.96 55.43 0.77 -26.34 16 13 Si 0.87 21.46 27.39 -169.99 -4.66 16.80 16 14 H -0.28 -6.80 7.11 56.52 0.40 -6.40 16 15 H -0.29 -7.20 7.11 56.52 0.40 -6.80 16 16 H -0.27 -6.47 6.66 56.52 0.38 -6.09 16 17 C 0.29 4.75 5.73 -63.31 -0.36 4.39 16 18 N -0.60 -8.59 2.59 -175.91 -0.46 -9.04 16 19 C 0.11 1.10 6.46 -3.12 -0.02 1.08 16 20 C -0.09 -0.83 3.66 -90.14 -0.33 -1.16 16 21 H 0.13 0.62 8.14 -51.93 -0.42 0.20 16 22 C 0.45 5.28 7.20 36.00 0.26 5.54 16 23 O -0.46 -6.68 10.70 -18.75 -0.20 -6.88 16 24 O -0.36 -3.88 10.55 -39.25 -0.41 -4.30 16 25 C 0.04 0.35 10.56 101.05 1.07 1.41 16 26 C -0.14 -1.47 6.40 -26.74 -0.17 -1.64 16 27 C 0.52 8.09 7.54 -10.86 -0.08 8.01 16 28 O -0.52 -10.61 17.58 5.56 0.10 -10.51 16 29 H 0.06 1.55 5.66 -51.93 -0.29 1.25 16 30 H 0.00 -0.03 8.14 -51.93 -0.42 -0.45 16 31 H 0.10 2.22 4.10 -51.93 -0.21 2.01 16 32 H 0.03 0.55 8.14 -51.93 -0.42 0.13 16 33 H 0.07 1.28 4.71 -51.93 -0.24 1.04 16 34 H 0.13 3.28 4.12 -51.92 -0.21 3.07 16 35 H 0.04 0.69 8.14 -51.93 -0.42 0.27 16 36 H 0.05 0.92 8.14 -51.93 -0.42 0.50 16 37 H 0.05 0.81 6.33 -51.93 -0.33 0.48 16 38 H 0.04 0.56 8.14 -51.93 -0.42 0.14 16 39 H 0.06 1.13 8.14 -51.93 -0.42 0.70 16 40 H 0.06 0.94 5.24 -51.93 -0.27 0.67 16 41 H 0.02 0.41 5.73 -51.93 -0.30 0.11 16 42 H 0.02 0.60 6.83 -51.93 -0.35 0.24 16 43 H -0.01 -0.26 6.93 -51.93 -0.36 -0.62 16 44 H 0.26 7.51 8.31 -40.82 -0.34 7.17 16 45 H 0.05 0.67 7.92 -51.93 -0.41 0.26 16 46 H 0.09 1.65 7.24 -51.93 -0.38 1.27 16 47 H 0.10 1.13 4.70 -51.93 -0.24 0.89 16 48 H 0.08 0.57 8.14 -51.93 -0.42 0.15 16 49 H 0.10 0.63 8.14 -51.93 -0.42 0.21 16 50 H 0.07 0.74 8.13 -51.93 -0.42 0.32 16 51 H 0.06 0.55 8.13 -51.93 -0.42 0.13 16 52 H 0.11 1.15 7.89 -51.93 -0.41 0.74 16 53 H 0.12 0.81 8.14 -51.93 -0.42 0.39 16 LS Contribution 389.66 15.07 5.87 5.87 Total: -1.00 -33.77 389.66 -7.57 -41.34 By element: Atomic # 1 Polarization: 13.43 SS G_CDS: -8.42 Total: 5.02 kcal Atomic # 6 Polarization: -1.29 SS G_CDS: 0.18 Total: -1.12 kcal Atomic # 7 Polarization: -46.19 SS G_CDS: -0.03 Total: -46.22 kcal Atomic # 8 Polarization: -21.18 SS G_CDS: -0.52 Total: -21.70 kcal Atomic # 14 Polarization: 21.46 SS G_CDS: -4.66 Total: 16.80 kcal Total LS contribution 5.87 Total: 5.87 kcal Total: -33.77 -7.57 -41.34 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. ZINC000181370029.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 -46.239 kcal (2) G-P(sol) polarization free energy of solvation -33.766 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -80.005 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.572 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.338 kcal (6) G-S(sol) free energy of system = (1) + (5) -87.577 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.68 seconds