Wall clock time and date at job start Tue Mar 31 2020 21:07:20 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 1.52994 * 1 3 3 H 1.09005 * 109.45164 * 2 1 4 4 C 1.53037 * 109.48940 * 240.05632 * 2 1 3 5 5 C 1.53189 * 109.34378 * 178.64815 * 4 2 1 6 6 N 1.46930 * 108.77648 * 54.61394 * 5 4 2 7 7 C 1.36936 * 120.62806 * 126.37381 * 6 5 4 8 8 H 1.07998 * 119.99976 * 331.59620 * 7 6 5 9 9 C 1.38815 * 119.99677 * 151.60111 * 7 6 5 10 10 N 1.31621 * 120.00130 * 343.09587 * 9 7 6 11 11 Si 1.86803 * 119.99699 * 163.09946 * 9 7 6 12 12 H 1.48498 * 109.47238 * 359.97438 * 11 9 7 13 13 H 1.48505 * 109.47070 * 119.99995 * 11 9 7 14 14 H 1.48509 * 109.46935 * 239.99764 * 11 9 7 15 15 C 1.46922 * 118.73719 * 306.39539 * 6 5 4 16 16 C 1.53041 * 109.46025 * 119.96785 * 2 1 3 17 17 H 1.09000 * 109.49790 * 61.40625 * 16 2 1 18 18 N 1.46497 * 109.49613 * 301.33796 * 16 2 1 19 19 C 1.34777 * 120.00049 * 155.06623 * 18 16 2 20 20 O 1.21280 * 119.99914 * 5.13113 * 19 18 16 21 21 C 1.50701 * 120.00142 * 185.13675 * 19 18 16 22 22 C 1.52992 * 109.54200 * 290.77731 * 21 19 18 23 23 C 1.53004 * 117.49721 * 63.92259 * 22 21 19 24 24 C 1.52998 * 117.49979 * 355.29977 * 22 21 19 25 25 C 1.53179 * 109.54304 * 50.95663 * 21 19 18 26 26 C 1.53107 * 109.15617 * 63.06399 * 25 21 19 27 27 O 1.42896 * 109.49014 * 57.47598 * 26 25 21 28 28 C 1.42906 * 114.09732 * 298.88697 * 27 26 25 29 29 C 1.53095 * 109.41396 * 61.15706 * 28 27 26 30 30 H 1.08994 * 109.47292 * 300.03619 * 1 2 3 31 31 H 1.09001 * 109.46997 * 60.03209 * 1 2 3 32 32 H 1.08998 * 109.46929 * 180.02562 * 1 2 3 33 33 H 1.08995 * 109.50227 * 58.67650 * 4 2 1 34 34 H 1.09007 * 109.49807 * 298.61430 * 4 2 1 35 35 H 1.09001 * 109.58511 * 294.82751 * 5 4 2 36 36 H 1.09003 * 109.70819 * 174.47390 * 5 4 2 37 37 H 0.97005 * 119.99783 * 179.97438 * 10 9 7 38 38 H 1.09002 * 109.59226 * 293.82037 * 15 6 5 39 39 H 1.09003 * 109.58863 * 173.39212 * 15 6 5 40 40 H 0.97000 * 120.00076 * 335.06621 * 18 16 2 41 41 H 1.09003 * 115.56353 * 209.60779 * 22 21 19 42 42 H 1.09002 * 117.49633 * 145.02465 * 23 22 21 43 43 H 1.08994 * 117.49846 * 359.97438 * 23 22 21 44 44 H 1.08999 * 117.49840 * 359.97438 * 24 22 21 45 45 H 1.09007 * 117.52035 * 214.97079 * 24 22 21 46 46 H 1.09000 * 109.52086 * 182.88012 * 25 21 19 47 47 H 1.08994 * 109.52049 * 303.06794 * 25 21 19 48 48 H 1.08998 * 109.40665 * 297.49310 * 26 25 21 49 49 H 1.09000 * 109.48635 * 177.51023 * 26 25 21 50 50 H 1.08999 * 109.48192 * 301.17897 * 28 27 26 51 51 H 1.09002 * 109.49284 * 181.14453 * 28 27 26 52 52 H 1.09003 * 109.52467 * 182.48860 * 29 28 27 53 53 H 1.08999 * 109.52508 * 62.29791 * 29 28 27 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 1.8929 1.0278 0.0000 4 6 2.0405 -0.7201 -1.2501 5 6 3.5720 -0.6887 -1.2639 6 7 4.0680 -1.2495 0.0004 7 6 4.9754 -2.2750 0.0004 8 1 5.0001 -2.9741 -0.8224 9 6 5.8634 -2.4160 1.0580 10 7 6.0710 -1.4104 1.8815 11 14 6.7638 -4.0328 1.3123 12 1 6.3573 -4.9968 0.2584 13 1 8.2286 -3.8014 1.2338 14 1 6.4208 -4.5857 2.6472 15 6 3.5713 -0.6893 1.2646 16 6 2.0398 -0.7208 1.2501 17 1 1.6973 -1.7555 1.2385 18 7 1.5255 -0.0488 2.4459 19 6 1.3983 -0.7320 3.6007 20 8 1.7956 -1.8754 3.6757 21 6 0.7622 -0.0752 4.7986 22 6 1.6858 1.0221 5.3313 23 6 1.9661 2.2155 4.4158 24 6 3.0572 1.1736 4.6702 25 6 -0.5817 0.5382 4.3934 26 6 -1.5263 -0.5775 3.9382 27 8 -1.6779 -1.5326 4.9902 28 6 -0.4603 -2.1731 5.3768 29 6 0.5264 -1.1219 5.8919 30 1 -0.3633 0.5144 0.8896 31 1 -0.3633 0.5133 -0.8903 32 1 -0.3633 -1.0277 0.0005 33 1 1.6584 -0.2198 -2.1398 34 1 1.6980 -1.7549 -1.2393 35 1 3.9155 0.3407 -1.3667 36 1 3.9444 -1.2831 -2.0982 37 1 6.6913 -1.5091 2.6208 38 1 3.9146 0.3401 1.3681 39 1 3.9411 -1.2856 2.0988 40 1 1.2765 0.8879 2.4066 41 1 1.6193 1.2140 6.4022 42 1 2.0841 3.1925 4.8845 43 1 1.4928 2.2187 3.4339 44 1 3.3017 0.4912 3.8561 45 1 3.8933 1.4652 5.3059 46 1 -1.0175 1.0570 5.2472 47 1 -0.4286 1.2435 3.5767 48 1 -1.1097 -1.0685 3.0588 49 1 -2.4988 -0.1521 3.6905 50 1 -0.0297 -2.6849 4.5161 51 1 -0.6647 -2.8971 6.1655 52 1 1.4712 -1.6026 6.1457 53 1 0.1136 -0.6376 6.7768 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 ZINC000967433556.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 21:07:20 Heat of formation + Delta-G solvation = -40.681777 kcal Electronic energy + Delta-G solvation = -32851.557923 eV Core-core repulsion = 28917.287622 eV Total energy + Delta-G solvation = -3934.270301 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.35 seconds Orbital eigenvalues (eV) -41.16785 -38.60838 -37.52254 -36.82105 -34.37795 -33.11981 -32.95085 -31.10721 -30.93833 -28.87557 -27.36726 -25.94402 -24.12725 -23.80771 -23.10166 -22.04722 -21.35560 -21.06996 -20.82618 -19.73971 -18.71085 -16.89861 -16.81283 -16.15812 -15.97717 -15.52208 -15.35449 -14.94720 -14.69709 -14.45931 -13.98774 -13.77017 -13.67769 -13.60118 -13.31769 -13.09729 -13.04957 -12.43443 -12.42592 -12.32981 -11.98238 -11.71376 -11.64341 -11.59143 -11.37750 -11.29139 -11.08591 -10.90589 -10.71926 -10.64597 -10.51048 -10.45668 -10.29754 -10.14805 -10.01484 -9.94046 -9.85908 -9.53038 -9.47630 -9.09327 -8.48657 -8.42216 -6.64363 -5.75457 -3.18889 2.99678 3.40851 3.45537 3.50262 3.51454 3.79927 3.89234 4.44693 4.54434 4.57165 4.71159 4.90284 4.95496 5.00170 5.08642 5.16173 5.22743 5.26397 5.29117 5.37383 5.47253 5.50418 5.53252 5.58264 5.60327 5.70190 5.73421 5.84278 5.88209 5.95697 5.98300 6.00962 6.02836 6.08543 6.10041 6.11918 6.17402 6.22013 6.36076 6.38168 6.45212 6.52285 6.72008 6.75532 6.95534 6.96480 7.19714 7.29207 7.72480 7.83473 7.92751 8.48535 8.64366 9.23739 9.87401 10.42424 11.32395 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.011461 B = 0.004758 C = 0.004197 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2442.583961 B = 5882.979246 C = 6669.443266 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.144 4.144 2 C -0.092 4.092 3 H 0.065 0.935 4 C -0.125 4.125 5 C 0.142 3.858 6 N -0.588 5.588 7 C -0.256 4.256 8 H 0.065 0.935 9 C 0.008 3.992 10 N -0.897 5.897 11 Si 0.900 3.100 12 H -0.277 1.277 13 H -0.291 1.291 14 H -0.288 1.288 15 C 0.168 3.832 16 C 0.124 3.876 17 H 0.079 0.921 18 N -0.720 5.720 19 C 0.522 3.478 20 O -0.525 6.525 21 C -0.048 4.048 22 C -0.146 4.146 23 C -0.179 4.179 24 C -0.176 4.176 25 C -0.139 4.139 26 C 0.058 3.942 27 O -0.385 6.385 28 C 0.052 3.948 29 C -0.126 4.126 30 H 0.047 0.953 31 H 0.050 0.950 32 H 0.052 0.948 33 H 0.055 0.945 34 H 0.060 0.940 35 H 0.017 0.983 36 H 0.055 0.945 37 H 0.252 0.748 38 H 0.016 0.984 39 H 0.096 0.904 40 H 0.389 0.611 41 H 0.112 0.888 42 H 0.097 0.903 43 H 0.089 0.911 44 H 0.114 0.886 45 H 0.096 0.904 46 H 0.082 0.918 47 H 0.075 0.925 48 H 0.051 0.949 49 H 0.094 0.906 50 H 0.071 0.929 51 H 0.092 0.908 52 H 0.085 0.915 53 H 0.074 0.926 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -14.696 8.216 4.785 17.503 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 -0.201 4.201 2 C -0.112 4.112 3 H 0.084 0.916 4 C -0.165 4.165 5 C 0.016 3.984 6 N -0.310 5.310 7 C -0.385 4.385 8 H 0.083 0.917 9 C -0.191 4.191 10 N -0.541 5.541 11 Si 0.730 3.270 12 H -0.202 1.202 13 H -0.218 1.218 14 H -0.215 1.215 15 C 0.041 3.959 16 C 0.018 3.982 17 H 0.097 0.903 18 N -0.372 5.372 19 C 0.307 3.693 20 O -0.401 6.401 21 C -0.051 4.051 22 C -0.164 4.164 23 C -0.216 4.216 24 C -0.213 4.213 25 C -0.177 4.177 26 C -0.019 4.019 27 O -0.304 6.304 28 C -0.025 4.025 29 C -0.164 4.164 30 H 0.066 0.934 31 H 0.069 0.931 32 H 0.071 0.929 33 H 0.073 0.927 34 H 0.078 0.922 35 H 0.035 0.965 36 H 0.074 0.926 37 H 0.062 0.938 38 H 0.034 0.966 39 H 0.114 0.886 40 H 0.225 0.775 41 H 0.130 0.870 42 H 0.115 0.885 43 H 0.107 0.893 44 H 0.133 0.867 45 H 0.114 0.886 46 H 0.100 0.900 47 H 0.094 0.906 48 H 0.069 0.931 49 H 0.112 0.888 50 H 0.089 0.911 51 H 0.110 0.890 52 H 0.104 0.896 53 H 0.092 0.908 Dipole moment (debyes) X Y Z Total from point charges -14.459 7.316 5.025 16.966 hybrid contribution 0.768 -0.072 0.109 0.779 sum -13.691 7.244 5.134 16.318 Atomic orbital electron populations 1.21854 0.96091 1.01528 1.00667 1.21304 0.94494 0.99648 0.95712 0.91613 1.22059 0.98981 0.99998 0.95419 1.20958 0.90782 0.96446 0.90263 1.43956 1.48167 1.39763 0.99155 1.19167 1.09456 1.02921 1.06997 0.91680 1.25024 0.97065 0.97306 0.99724 1.70020 1.37125 1.28848 1.18110 0.86269 0.78991 0.83815 0.77954 1.20236 1.21772 1.21458 1.21085 0.86438 0.97332 0.91016 1.21994 0.98483 0.96137 0.81551 0.90261 1.46348 1.66298 1.13905 1.10684 1.20195 0.78731 0.86571 0.83785 1.90726 1.48149 1.18065 1.83144 1.20474 0.94843 0.95392 0.94437 1.22188 0.98550 0.97145 0.98544 1.22979 1.04164 0.94182 1.00247 1.23353 0.91612 1.02412 1.03922 1.22246 0.94309 0.98578 1.02588 1.22581 0.99793 0.89455 0.90091 1.87877 1.31669 1.56218 1.54623 1.22774 0.84503 0.94324 1.00866 1.21988 1.01182 0.96418 0.96768 0.93375 0.93085 0.92935 0.92669 0.92156 0.96502 0.92642 0.93767 0.96639 0.88633 0.77513 0.87014 0.88486 0.89255 0.86741 0.88574 0.89978 0.90650 0.93071 0.88831 0.91092 0.88993 0.89645 0.90760 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 18. 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 -1.79 9.02 37.15 0.34 -1.46 16 2 C -0.09 -1.43 2.27 -90.58 -0.21 -1.64 16 3 H 0.07 1.00 8.14 -51.93 -0.42 0.58 16 4 C -0.12 -2.07 5.36 -26.61 -0.14 -2.21 16 5 C 0.14 2.91 6.52 -3.71 -0.02 2.88 16 6 N -0.59 -14.69 2.99 -172.32 -0.52 -15.20 16 7 C -0.26 -7.13 9.58 -15.06 -0.14 -7.28 16 8 H 0.07 1.79 7.88 -52.49 -0.41 1.37 16 9 C 0.01 0.23 4.91 -17.43 -0.09 0.14 16 10 N -0.90 -26.40 11.21 55.49 0.62 -25.77 16 11 Si 0.90 22.50 29.59 -169.99 -5.03 17.47 16 12 H -0.28 -6.76 7.11 56.52 0.40 -6.36 16 13 H -0.29 -7.23 7.11 56.52 0.40 -6.83 16 14 H -0.29 -7.35 7.11 56.52 0.40 -6.95 16 15 C 0.17 3.98 4.70 -3.71 -0.02 3.96 16 16 C 0.12 2.31 2.02 -67.81 -0.14 2.17 16 17 H 0.08 1.72 7.66 -51.93 -0.40 1.32 16 18 N -0.72 -11.12 2.99 -53.69 -0.16 -11.28 16 19 C 0.52 8.63 3.25 -10.99 -0.04 8.60 16 20 O -0.53 -11.12 13.96 5.56 0.08 -11.04 16 21 C -0.05 -0.62 0.53 -155.48 -0.08 -0.70 16 22 C -0.15 -1.73 5.22 -90.62 -0.47 -2.20 16 23 C -0.18 -1.95 9.29 -26.73 -0.25 -2.20 16 24 C -0.18 -2.52 9.55 -26.73 -0.26 -2.77 16 25 C -0.14 -1.46 4.53 -26.58 -0.12 -1.58 16 26 C 0.06 0.67 6.61 37.21 0.25 0.91 16 27 O -0.39 -5.21 10.77 -35.23 -0.38 -5.59 16 28 C 0.05 0.70 6.56 37.21 0.24 0.95 16 29 C -0.13 -1.62 4.52 -26.59 -0.12 -1.74 16 30 H 0.05 0.53 7.36 -51.93 -0.38 0.15 16 31 H 0.05 0.56 8.14 -51.93 -0.42 0.14 16 32 H 0.05 0.69 8.14 -51.93 -0.42 0.27 16 33 H 0.05 0.77 8.14 -51.93 -0.42 0.35 16 34 H 0.06 1.05 8.14 -51.93 -0.42 0.63 16 35 H 0.02 0.35 8.14 -51.93 -0.42 -0.07 16 36 H 0.06 1.12 7.93 -51.93 -0.41 0.71 16 37 H 0.25 7.23 8.31 -40.82 -0.34 6.89 16 38 H 0.02 0.39 8.14 -51.93 -0.42 -0.04 16 39 H 0.10 2.68 6.08 -51.93 -0.32 2.37 16 40 H 0.39 5.03 4.67 -40.82 -0.19 4.84 16 41 H 0.11 1.16 8.08 -51.93 -0.42 0.74 16 42 H 0.10 0.90 8.14 -51.93 -0.42 0.47 16 43 H 0.09 0.92 5.11 -51.93 -0.27 0.66 16 44 H 0.11 2.09 5.73 -51.93 -0.30 1.79 16 45 H 0.10 1.31 8.14 -51.92 -0.42 0.89 16 46 H 0.08 0.77 8.14 -51.93 -0.42 0.35 16 47 H 0.07 0.69 6.25 -51.93 -0.32 0.36 16 48 H 0.05 0.67 7.38 -51.93 -0.38 0.29 16 49 H 0.09 0.87 8.14 -51.93 -0.42 0.45 16 50 H 0.07 1.15 6.16 -51.93 -0.32 0.83 16 51 H 0.09 1.08 8.14 -51.93 -0.42 0.66 16 52 H 0.08 1.22 7.90 -51.93 -0.41 0.81 16 53 H 0.07 0.81 8.14 -51.93 -0.42 0.39 16 LS Contribution 389.66 15.07 5.87 5.87 Total: -1.00 -31.69 389.66 -9.94 -41.63 By element: Atomic # 1 Polarization: 17.23 SS G_CDS: -9.16 Total: 8.07 kcal Atomic # 6 Polarization: -2.89 SS G_CDS: -1.27 Total: -4.16 kcal Atomic # 7 Polarization: -52.20 SS G_CDS: -0.05 Total: -52.25 kcal Atomic # 8 Polarization: -16.34 SS G_CDS: -0.30 Total: -16.64 kcal Atomic # 14 Polarization: 22.50 SS G_CDS: -5.03 Total: 17.47 kcal Total LS contribution 5.87 Total: 5.87 kcal Total: -31.69 -9.94 -41.63 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. ZINC000967433556.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 0.951 kcal (2) G-P(sol) polarization free energy of solvation -31.689 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -30.738 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.944 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.633 kcal (6) G-S(sol) free energy of system = (1) + (5) -40.682 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.35 seconds