Wall clock time and date at job start Tue Mar 31 2020 06:30:00 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 1.53006 * 1 3 3 O 1.42908 * 109.46731 * 2 1 4 4 C 1.42895 * 113.99486 * 179.97438 * 3 2 1 5 5 C 1.50706 * 109.47096 * 180.02562 * 4 3 2 6 6 O 1.21280 * 119.99403 * 359.97438 * 5 4 3 7 7 N 1.34774 * 120.00274 * 180.02562 * 5 4 3 8 8 C 1.47502 * 125.66711 * 359.97438 * 7 5 4 9 9 C 1.55032 * 104.91634 * 203.99093 * 8 7 5 10 10 C 1.54397 * 101.53138 * 323.73964 * 9 8 7 11 11 C 1.47206 * 125.66803 * 179.97438 * 7 5 4 12 12 C 1.49648 * 110.72352 * 275.70925 * 10 9 8 13 13 O 1.21279 * 118.73450 * 46.03418 * 12 10 9 14 14 N 1.33731 * 122.50347 * 226.28716 * 12 10 9 15 15 C 1.46504 * 117.88900 * 184.42478 * 14 12 10 16 16 C 1.53002 * 109.46760 * 239.73136 * 15 14 12 17 17 C 1.52998 * 109.47029 * 119.73301 * 15 14 12 18 18 C 1.45642 * 124.21961 * 4.13618 * 14 12 10 19 19 C 1.52944 * 111.14795 * 337.24732 * 18 14 12 20 20 N 1.46230 * 110.20521 * 153.18523 * 10 9 8 21 21 C 1.36935 * 121.41814 * 343.40656 * 20 10 9 22 22 H 1.07996 * 119.99744 * 33.07521 * 21 20 10 23 23 C 1.38808 * 119.99930 * 213.07469 * 21 20 10 24 24 N 1.31622 * 120.00336 * 11.75195 * 23 21 20 25 25 Si 1.86802 * 119.99948 * 191.75343 * 23 21 20 26 26 H 1.48502 * 109.47069 * 90.00235 * 25 23 21 27 27 H 1.48502 * 109.46779 * 209.99729 * 25 23 21 28 28 H 1.48496 * 109.46889 * 329.99919 * 25 23 21 29 29 H 1.08996 * 109.46634 * 179.97438 * 1 2 3 30 30 H 1.09000 * 109.47238 * 299.99948 * 1 2 3 31 31 H 1.09002 * 109.47204 * 59.99973 * 1 2 3 32 32 H 1.08997 * 109.46774 * 240.00250 * 2 1 3 33 33 H 1.09002 * 109.47204 * 120.00027 * 2 1 3 34 34 H 1.09004 * 109.47250 * 60.00201 * 4 3 2 35 35 H 1.09001 * 109.47551 * 300.00219 * 4 3 2 36 36 H 1.09003 * 110.34928 * 322.85021 * 8 7 5 37 37 H 1.09002 * 110.35059 * 85.01934 * 8 7 5 38 38 H 1.08999 * 111.00998 * 205.67841 * 9 8 7 39 39 H 1.08998 * 111.01544 * 81.80479 * 9 8 7 40 40 H 1.09004 * 109.91401 * 59.05676 * 11 7 5 41 41 H 1.09003 * 109.91455 * 297.77743 * 11 7 5 42 42 H 1.08993 * 109.46746 * 359.72958 * 15 14 12 43 43 H 1.09001 * 109.47067 * 59.99770 * 16 15 14 44 44 H 1.08993 * 109.46776 * 179.97438 * 16 15 14 45 45 H 1.09002 * 109.47075 * 299.99972 * 16 15 14 46 46 H 1.09003 * 109.46943 * 60.00037 * 17 15 14 47 47 H 1.09003 * 109.46723 * 179.97438 * 17 15 14 48 48 H 1.08993 * 109.47254 * 299.99848 * 17 15 14 49 49 H 1.08998 * 109.14565 * 97.67314 * 18 14 12 50 50 H 1.08996 * 109.14531 * 216.81428 * 18 14 12 51 51 H 1.09002 * 109.70680 * 166.80117 * 19 18 14 52 52 H 1.09010 * 109.70268 * 287.36474 * 19 18 14 53 53 H 0.96999 * 120.00364 * 180.02562 * 24 23 21 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 8 2.0063 1.3474 0.0000 4 6 3.4308 1.4602 0.0006 5 6 3.8194 2.9163 0.0012 6 8 2.9609 3.7729 0.0006 7 7 5.1209 3.2664 0.0013 8 6 6.2628 2.3327 0.0013 9 6 7.4380 3.1396 0.6105 10 6 7.1715 4.5501 0.0419 11 6 5.6390 4.6443 0.0013 12 6 7.7501 4.6855 -1.3315 13 8 7.5609 3.7962 -2.1341 14 7 8.4718 5.7473 -1.7058 15 6 8.9063 5.8226 -3.1029 16 6 10.4344 5.8738 -3.1596 17 6 8.3294 7.0838 -3.7490 18 6 8.8486 6.8366 -0.8154 19 6 7.9008 6.9237 0.3818 20 7 7.7271 5.5674 0.9335 21 6 8.0718 5.2728 2.2256 22 1 8.4504 4.2921 2.4732 23 6 7.9347 6.2346 3.2170 24 7 7.2652 7.3411 2.9724 25 14 8.7004 5.9586 4.8983 26 1 10.0822 6.5025 4.9083 27 1 7.8887 6.6506 5.9315 28 1 8.7391 4.5034 5.1917 29 1 -0.3632 -1.0277 -0.0005 30 1 -0.3634 0.5138 0.8900 31 1 -0.3634 0.5138 -0.8900 32 1 1.8933 -0.5138 -0.8900 33 1 1.8934 -0.5138 0.8900 34 1 3.8340 0.9765 -0.8892 35 1 3.8333 0.9767 0.8908 36 1 6.0405 1.4622 0.6185 37 1 6.5001 2.0240 -1.0168 38 1 8.3973 2.7539 0.2653 39 1 7.3882 3.1412 1.6994 40 1 5.2764 5.1773 0.8802 41 1 5.3227 5.1599 -0.9055 42 1 8.5519 4.9438 -3.6413 43 1 10.8453 4.9753 -2.6992 44 1 10.7576 5.9294 -4.1990 45 1 10.7887 6.7527 -2.6210 46 1 8.6839 7.9627 -3.2104 47 1 8.6531 7.1400 -4.7884 48 1 7.2408 7.0474 -3.7086 49 1 9.8640 6.6695 -0.4560 50 1 8.8157 7.7764 -1.3665 51 1 8.3280 7.5777 1.1420 52 1 6.9364 7.3163 0.0592 53 1 7.1698 8.0134 3.6651 RHF calculation, no. of doubly occupied orbitals= 68 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 ZINC000096076990.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 06:30:00 Heat of formation + Delta-G solvation = -72.385832 kcal Electronic energy + Delta-G solvation = -34138.751871 eV Core-core repulsion = 29818.998676 eV Total energy + Delta-G solvation = -4319.753195 eV No. of doubly occupied orbitals = 68 Molecular weight (most abundant/longest-lived isotopes) = 353.215 amu Computer time = 1.13 seconds Orbital eigenvalues (eV) -40.66498 -39.31403 -37.84244 -36.88677 -36.31228 -34.87403 -32.36015 -31.76747 -31.33038 -29.87246 -28.89825 -28.23984 -27.12401 -26.80259 -24.51969 -23.35535 -22.87033 -22.49601 -21.71331 -20.00808 -19.13199 -17.82736 -17.17246 -17.01937 -16.78138 -16.43841 -16.01931 -15.87534 -15.12172 -15.01478 -14.86000 -14.74017 -14.12677 -13.91340 -13.65971 -13.60359 -13.38679 -13.08474 -12.96043 -12.82660 -12.56372 -12.44844 -12.22771 -12.17242 -12.02686 -11.86006 -11.71405 -11.44416 -11.32610 -11.25249 -11.23142 -11.09707 -10.99553 -10.88588 -10.77125 -10.65829 -10.28185 -10.20389 -10.08289 -9.73386 -9.40238 -9.04248 -8.70203 -8.23913 -8.16191 -6.93649 -6.03879 -3.57270 2.91669 2.97404 3.11359 3.25131 3.32763 3.34299 3.43461 3.96833 4.26750 4.74228 4.89941 4.90093 4.98592 5.03923 5.07073 5.14553 5.18500 5.21140 5.22109 5.24957 5.25949 5.38467 5.46207 5.51582 5.57329 5.64432 5.71022 5.77498 5.80393 5.86548 5.89375 5.92961 5.99082 5.99966 6.02495 6.13408 6.29325 6.32944 6.36441 6.41059 6.62297 6.66878 6.74031 6.88902 6.92525 7.06798 7.27998 7.57786 7.91246 7.95348 8.16271 8.54874 8.65477 8.90083 9.50490 10.08974 11.04038 Molecular weight = 353.21amu Principal moments of inertia in cm(-1) A = 0.008225 B = 0.003970 C = 0.002955 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3403.585959 B = 7051.644972 C = 9474.292567 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.150 4.150 2 C 0.055 3.945 3 O -0.365 6.365 4 C 0.052 3.948 5 C 0.526 3.474 6 O -0.528 6.528 7 N -0.606 5.606 8 C 0.098 3.902 9 C -0.112 4.112 10 C 0.172 3.828 11 C 0.116 3.884 12 C 0.531 3.469 13 O -0.563 6.563 14 N -0.590 5.590 15 C 0.117 3.883 16 C -0.156 4.156 17 C -0.160 4.160 18 C 0.089 3.911 19 C 0.149 3.851 20 N -0.569 5.569 21 C -0.264 4.264 22 H 0.075 0.925 23 C 0.017 3.983 24 N -0.894 5.894 25 Si 0.908 3.092 26 H -0.285 1.285 27 H -0.289 1.289 28 H -0.277 1.277 29 H 0.070 0.930 30 H 0.064 0.936 31 H 0.063 0.937 32 H 0.049 0.951 33 H 0.049 0.951 34 H 0.077 0.923 35 H 0.078 0.922 36 H 0.068 0.932 37 H 0.081 0.919 38 H 0.077 0.923 39 H 0.106 0.894 40 H 0.091 0.909 41 H 0.051 0.949 42 H 0.100 0.900 43 H 0.056 0.944 44 H 0.061 0.939 45 H 0.058 0.942 46 H 0.060 0.940 47 H 0.062 0.938 48 H 0.057 0.943 49 H 0.058 0.942 50 H 0.065 0.935 51 H 0.113 0.887 52 H 0.030 0.970 53 H 0.259 0.741 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 0.796 -8.634 -8.434 12.096 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 -0.208 4.208 2 C -0.022 4.022 3 O -0.283 6.283 4 C -0.028 4.028 5 C 0.313 3.687 6 O -0.404 6.404 7 N -0.341 5.341 8 C -0.025 4.025 9 C -0.151 4.151 10 C 0.079 3.921 11 C -0.009 4.009 12 C 0.318 3.682 13 O -0.442 6.442 14 N -0.321 5.321 15 C 0.013 3.987 16 C -0.214 4.214 17 C -0.218 4.218 18 C -0.036 4.036 19 C 0.023 3.977 20 N -0.290 5.290 21 C -0.392 4.392 22 H 0.093 0.907 23 C -0.184 4.184 24 N -0.536 5.536 25 Si 0.737 3.263 26 H -0.211 1.211 27 H -0.215 1.215 28 H -0.202 1.202 29 H 0.089 0.911 30 H 0.083 0.917 31 H 0.083 0.917 32 H 0.067 0.933 33 H 0.067 0.933 34 H 0.095 0.905 35 H 0.096 0.904 36 H 0.086 0.914 37 H 0.099 0.901 38 H 0.096 0.904 39 H 0.124 0.876 40 H 0.109 0.891 41 H 0.069 0.931 42 H 0.118 0.882 43 H 0.076 0.924 44 H 0.080 0.920 45 H 0.077 0.923 46 H 0.079 0.921 47 H 0.081 0.919 48 H 0.076 0.924 49 H 0.076 0.924 50 H 0.083 0.917 51 H 0.131 0.869 52 H 0.049 0.951 53 H 0.070 0.930 Dipole moment (debyes) X Y Z Total from point charges -0.001 -8.317 -8.670 12.015 hybrid contribution 0.623 -0.110 0.876 1.080 sum 0.622 -8.428 -7.794 11.496 Atomic orbital electron populations 1.21724 0.93557 1.02016 1.03468 1.22526 0.95869 0.83687 1.00077 1.88022 1.18881 1.26016 1.95406 1.22158 0.83357 0.95023 1.02297 1.19754 0.81254 0.90260 0.77459 1.90710 1.48541 1.51870 1.49316 1.48394 1.04414 1.08810 1.72532 1.22527 0.85954 0.92480 1.01506 1.22801 0.97114 0.92299 1.02845 1.20345 0.91082 0.92890 0.87800 1.22566 0.93880 0.82321 1.02123 1.20351 0.77022 0.80862 0.89920 1.90570 1.60834 1.39450 1.53339 1.47424 1.52593 1.22145 1.09988 1.21106 0.94330 0.99744 0.83527 1.22076 0.95339 1.02350 1.01623 1.22128 1.01477 0.97892 1.00301 1.22243 1.00623 0.88260 0.92434 1.21344 0.95657 0.88218 0.92458 1.44014 1.70574 1.05040 1.09400 1.19068 1.37425 1.00027 0.82715 0.90722 1.25251 0.97523 0.97690 0.97924 1.69924 1.40570 1.09248 1.33820 0.86213 0.78654 0.78029 0.83372 1.21138 1.21519 1.20168 0.91133 0.91677 0.91744 0.93318 0.93262 0.90478 0.90432 0.91387 0.90107 0.90408 0.87592 0.89111 0.93088 0.88213 0.92448 0.92048 0.92341 0.92148 0.91880 0.92407 0.92376 0.91702 0.86931 0.95130 0.93048 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -1.41 10.28 37.16 0.38 -1.03 16 2 C 0.06 0.59 6.66 37.16 0.25 0.84 16 3 O -0.36 -5.68 9.88 -55.14 -0.54 -6.23 16 4 C 0.05 0.74 5.43 36.01 0.20 0.94 16 5 C 0.53 10.14 7.93 -10.98 -0.09 10.05 16 6 O -0.53 -12.49 16.83 -14.35 -0.24 -12.73 16 7 N -0.61 -11.44 3.33 -170.68 -0.57 -12.01 16 8 C 0.10 1.55 6.22 -2.42 -0.02 1.54 16 9 C -0.11 -1.99 5.34 -24.93 -0.13 -2.12 16 10 C 0.17 3.46 0.88 -132.59 -0.12 3.35 16 11 C 0.12 2.48 6.17 -3.35 -0.02 2.45 16 12 C 0.53 10.31 6.21 -11.96 -0.07 10.24 16 13 O -0.56 -11.44 14.04 5.56 0.08 -11.36 16 14 N -0.59 -10.17 2.73 -167.56 -0.46 -10.63 16 15 C 0.12 1.68 3.14 -67.93 -0.21 1.46 16 16 C -0.16 -1.88 9.16 37.16 0.34 -1.54 16 17 C -0.16 -1.97 9.12 37.16 0.34 -1.63 16 18 C 0.09 1.50 5.48 -4.53 -0.02 1.48 16 19 C 0.15 3.10 5.54 -3.55 -0.02 3.08 16 20 N -0.57 -12.57 2.58 -158.53 -0.41 -12.98 16 21 C -0.26 -6.29 8.64 -15.06 -0.13 -6.42 16 22 H 0.08 1.74 6.09 -52.49 -0.32 1.42 16 23 C 0.02 0.42 5.06 -17.43 -0.09 0.33 16 24 N -0.89 -23.32 11.17 55.49 0.62 -22.70 16 25 Si 0.91 19.83 29.57 -169.99 -5.03 14.80 16 26 H -0.28 -6.20 7.11 56.52 0.40 -5.80 16 27 H -0.29 -6.52 7.11 56.52 0.40 -6.12 16 28 H -0.28 -5.93 7.11 56.52 0.40 -5.53 16 29 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 30 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 31 H 0.06 0.64 8.14 -51.93 -0.42 0.21 16 32 H 0.05 0.44 8.14 -51.93 -0.42 0.02 16 33 H 0.05 0.45 8.14 -51.93 -0.42 0.03 16 34 H 0.08 0.92 8.14 -51.93 -0.42 0.50 16 35 H 0.08 0.93 7.85 -51.93 -0.41 0.52 16 36 H 0.07 0.85 7.48 -51.93 -0.39 0.46 16 37 H 0.08 1.28 6.98 -51.93 -0.36 0.92 16 38 H 0.08 1.31 8.01 -51.93 -0.42 0.90 16 39 H 0.11 2.00 5.89 -51.93 -0.31 1.69 16 40 H 0.09 2.23 8.01 -51.93 -0.42 1.81 16 41 H 0.05 1.13 7.81 -51.93 -0.41 0.72 16 42 H 0.10 1.58 6.63 -51.93 -0.34 1.24 16 43 H 0.06 0.75 8.14 -51.93 -0.42 0.33 16 44 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 45 H 0.06 0.68 7.51 -51.93 -0.39 0.29 16 46 H 0.06 0.71 6.52 -51.93 -0.34 0.37 16 47 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 48 H 0.06 0.78 8.14 -51.93 -0.42 0.36 16 49 H 0.06 0.98 8.08 -51.93 -0.42 0.56 16 50 H 0.06 0.95 6.18 -51.93 -0.32 0.63 16 51 H 0.11 2.58 6.03 -51.93 -0.31 2.26 16 52 H 0.03 0.68 8.14 -51.92 -0.42 0.25 16 53 H 0.26 6.63 8.31 -40.82 -0.34 6.29 16 LS Contribution 409.64 15.07 6.17 6.17 Total: -1.00 -30.91 409.64 -8.73 -39.64 By element: Atomic # 1 Polarization: 13.95 SS G_CDS: -8.93 Total: 5.02 kcal Atomic # 6 Polarization: 22.42 SS G_CDS: 0.58 Total: 23.01 kcal Atomic # 7 Polarization: -57.50 SS G_CDS: -0.82 Total: -58.32 kcal Atomic # 8 Polarization: -29.61 SS G_CDS: -0.71 Total: -30.32 kcal Atomic # 14 Polarization: 19.83 SS G_CDS: -5.03 Total: 14.80 kcal Total LS contribution 6.17 Total: 6.17 kcal Total: -30.91 -8.73 -39.64 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. ZINC000096076990.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 -32.745 kcal (2) G-P(sol) polarization free energy of solvation -30.913 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -63.658 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.728 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.641 kcal (6) G-S(sol) free energy of system = (1) + (5) -72.386 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.13 seconds