Wall clock time and date at job start Sat Apr 11 2020 06:11:46 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 1.52998 * 1 3 3 C 1.53009 * 109.47100 * 2 1 4 4 C 1.53001 * 109.46809 * 240.00202 * 2 1 3 5 5 O 1.45196 * 109.47685 * 120.00190 * 2 1 3 6 6 C 1.34635 * 116.99761 * 59.99469 * 5 2 1 7 7 O 1.21507 * 120.00261 * 0.02562 * 6 5 2 8 8 N 1.34783 * 119.99841 * 180.02562 * 6 5 2 9 9 C 1.47074 * 125.63009 * 359.97438 * 8 6 5 10 10 C 1.54457 * 107.29526 * 179.03305 * 9 8 6 11 11 C 1.54402 * 102.87687 * 338.49283 * 10 9 8 12 12 C 1.47573 * 125.62567 * 180.02562 * 8 6 5 13 13 C 1.52170 * 110.43940 * 152.52571 * 11 10 9 14 14 N 1.47169 * 109.40373 * 177.73372 * 13 11 10 15 15 C 1.46902 * 110.99731 * 179.21507 * 14 13 11 16 16 C 1.52999 * 109.47036 * 57.44371 * 15 14 13 17 17 C 1.50701 * 109.46764 * 179.97438 * 16 15 14 18 18 H 1.08002 * 120.00372 * 0.02562 * 17 16 15 19 19 C 1.37884 * 119.99787 * 179.97438 * 17 16 15 20 20 N 1.31513 * 119.99852 * 0.02562 * 19 17 16 21 21 Si 1.86803 * 119.99814 * 180.02562 * 19 17 16 22 22 H 1.48492 * 109.46957 * 60.00324 * 21 19 17 23 23 H 1.48502 * 109.46695 * 180.02562 * 21 19 17 24 24 H 1.48498 * 109.47059 * 300.00367 * 21 19 17 25 25 C 1.47029 * 110.63832 * 302.91069 * 14 13 11 26 26 C 1.53099 * 109.36391 * 59.37056 * 25 14 13 27 27 O 1.41957 * 110.62842 * 276.46262 * 11 10 9 28 28 H 1.09005 * 109.46851 * 299.99763 * 1 2 3 29 29 H 1.09003 * 109.47157 * 59.99814 * 1 2 3 30 30 H 1.08996 * 109.46978 * 180.02562 * 1 2 3 31 31 H 1.08995 * 109.46752 * 180.02562 * 3 2 1 32 32 H 1.08997 * 109.46620 * 300.00340 * 3 2 1 33 33 H 1.08994 * 109.46747 * 60.00111 * 3 2 1 34 34 H 1.08999 * 109.47561 * 299.99462 * 4 2 1 35 35 H 1.09003 * 109.47274 * 60.00056 * 4 2 1 36 36 H 1.09003 * 109.47172 * 179.97438 * 4 2 1 37 37 H 1.08995 * 109.87907 * 59.61188 * 9 8 6 38 38 H 1.08994 * 109.88346 * 298.45635 * 9 8 6 39 39 H 1.08998 * 110.73630 * 96.83516 * 10 9 8 40 40 H 1.08996 * 110.73346 * 220.14584 * 10 9 8 41 41 H 1.08998 * 110.37911 * 322.13856 * 12 8 6 42 42 H 1.09011 * 110.37261 * 84.37362 * 12 8 6 43 43 H 1.09000 * 109.47998 * 297.71000 * 13 11 10 44 44 H 1.08994 * 109.48647 * 57.75239 * 13 11 10 45 45 H 1.08997 * 109.46922 * 177.44346 * 15 14 13 46 46 H 1.08993 * 109.47276 * 297.44229 * 15 14 13 47 47 H 1.08997 * 109.47245 * 299.99777 * 16 15 14 48 48 H 1.09006 * 109.47303 * 60.00463 * 16 15 14 49 49 H 0.96996 * 119.99536 * 179.97438 * 20 19 17 50 50 H 1.08999 * 109.49331 * 299.40035 * 25 14 13 51 51 H 1.09003 * 109.50451 * 179.34945 * 25 14 13 52 52 H 1.09003 * 109.52271 * 182.47083 * 26 25 14 53 53 H 1.08999 * 109.52717 * 62.28339 * 26 25 14 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 1.4426 0.0000 4 6 2.0399 -0.7212 -1.2493 5 8 2.0141 -0.6845 1.1855 6 6 1.6523 -1.9723 1.3382 7 8 0.9516 -2.5096 0.5036 8 7 2.0674 -2.6654 2.4170 9 6 2.9152 -2.1408 3.4983 10 6 3.1091 -3.2798 4.5235 11 6 1.9114 -4.2104 4.2345 12 6 1.7471 -4.0764 2.7077 13 6 2.2495 -5.6449 4.6134 14 7 1.0760 -6.5018 4.3801 15 6 1.3704 -7.9009 4.7177 16 6 1.8243 -7.9889 6.1761 17 6 2.1257 -9.4242 6.5226 18 1 2.0059 -10.1964 5.7770 19 6 2.5554 -9.7516 7.7912 20 7 2.7018 -8.8113 8.6989 21 14 2.9296 -11.5307 8.2205 22 1 4.0083 -12.0372 7.3345 23 1 3.3701 -11.6161 9.6361 24 1 1.7075 -12.3529 8.0323 25 6 -0.0839 -6.0097 5.1378 26 6 -0.4041 -4.5773 4.7024 27 8 0.7491 -3.7540 4.9097 28 1 -0.3633 0.5138 0.8901 29 1 -0.3633 0.5139 -0.8900 30 1 -0.3633 -1.0276 0.0005 31 1 3.1300 1.4425 -0.0005 32 1 1.6766 1.9563 -0.8900 33 1 1.6767 1.9563 0.8900 34 1 1.6767 -1.7489 -1.2493 35 1 1.6766 -0.2074 -2.1393 36 1 3.1299 -0.7209 -1.2496 37 1 2.4247 -1.2924 3.9754 38 1 3.8813 -1.8353 3.0968 39 1 4.0516 -3.7989 4.3499 40 1 3.0613 -2.8945 5.5419 41 1 0.7213 -4.3007 2.4152 42 1 2.4419 -4.7377 2.1898 43 1 3.0824 -5.9952 4.0038 44 1 2.5267 -5.6870 5.6666 45 1 0.4734 -8.5045 4.5793 46 1 2.1623 -8.2726 4.0676 47 1 2.7213 -7.3853 6.3145 48 1 1.0323 -7.6172 6.8263 49 1 3.0037 -9.0416 9.5914 50 1 0.1453 -6.0233 6.2033 51 1 -0.9443 -6.6500 4.9428 52 1 -1.2360 -4.1942 5.2934 53 1 -0.6724 -4.5690 3.6459 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 ZINC001177050557.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 06:11:46 Heat of formation + Delta-G solvation = -115.882418 kcal Electronic energy + Delta-G solvation = -31599.883887 eV Core-core repulsion = 27471.896589 eV Total energy + Delta-G solvation = -4127.987297 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.90 seconds Orbital eigenvalues (eV) -41.04747 -40.16397 -37.77506 -36.47238 -35.65478 -34.19704 -32.93644 -32.02900 -29.98975 -29.56649 -27.75130 -27.64794 -27.59028 -25.89719 -23.88658 -23.82017 -22.23739 -21.76263 -20.42299 -19.53712 -18.89540 -18.06540 -16.97152 -16.63400 -16.39588 -16.18512 -15.68620 -15.23387 -14.92043 -14.81963 -14.57253 -14.50937 -14.22937 -13.96199 -13.90184 -13.21559 -13.10906 -12.99131 -12.75115 -12.73222 -12.37732 -12.23607 -12.21194 -12.12082 -12.07820 -11.69052 -11.60012 -11.47074 -11.42196 -11.32216 -11.29752 -11.01052 -10.85347 -10.78380 -10.53033 -10.31130 -10.11484 -9.91593 -9.78716 -9.44905 -9.21340 -8.74341 -8.41087 -7.66329 -6.07465 -4.10707 1.99569 2.79427 3.28650 3.33403 3.35737 3.68809 3.79193 4.22722 4.40729 4.45074 4.49190 4.52825 4.62222 4.67380 4.86183 5.09856 5.20598 5.21153 5.27512 5.29172 5.29792 5.36185 5.42861 5.43969 5.46329 5.52291 5.61019 5.62925 5.63227 5.69455 5.73098 5.80287 5.85230 5.96853 6.03462 6.07750 6.11656 6.14167 6.18466 6.24232 6.30220 6.35740 6.56817 6.80684 7.28759 7.34964 7.35832 7.43511 7.58519 7.71585 7.91694 8.27804 8.33955 8.95827 9.53876 11.03456 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.028115 B = 0.002212 C = 0.002195 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 995.675739 B =12655.982168 C =12753.949692 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.183 4.183 2 C 0.135 3.865 3 C -0.140 4.140 4 C -0.183 4.183 5 O -0.362 6.362 6 C 0.668 3.332 7 O -0.570 6.570 8 N -0.600 5.600 9 C 0.111 3.889 10 C -0.119 4.119 11 C 0.112 3.888 12 C 0.114 3.886 13 C 0.034 3.966 14 N -0.539 5.539 15 C 0.056 3.944 16 C -0.009 4.009 17 C -0.521 4.521 18 H 0.056 0.944 19 C 0.058 3.942 20 N -0.894 5.894 21 Si 0.893 3.107 22 H -0.276 1.276 23 H -0.287 1.287 24 H -0.277 1.277 25 C 0.014 3.986 26 C 0.063 3.937 27 O -0.364 6.364 28 H 0.059 0.941 29 H 0.069 0.931 30 H 0.088 0.912 31 H 0.066 0.934 32 H 0.079 0.921 33 H 0.066 0.934 34 H 0.088 0.912 35 H 0.069 0.931 36 H 0.058 0.942 37 H 0.072 0.928 38 H 0.070 0.930 39 H 0.095 0.905 40 H 0.097 0.903 41 H 0.089 0.911 42 H 0.082 0.918 43 H 0.085 0.915 44 H 0.065 0.935 45 H 0.064 0.936 46 H 0.065 0.935 47 H 0.019 0.981 48 H 0.017 0.983 49 H 0.261 0.739 50 H 0.055 0.945 51 H 0.082 0.918 52 H 0.096 0.904 53 H 0.056 0.944 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.193 19.744 -14.729 24.661 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 -0.240 4.240 2 C 0.098 3.902 3 C -0.197 4.197 4 C -0.240 4.240 5 O -0.277 6.277 6 C 0.423 3.577 7 O -0.459 6.459 8 N -0.341 5.341 9 C -0.012 4.012 10 C -0.158 4.158 11 C 0.071 3.929 12 C -0.007 4.007 13 C -0.095 4.095 14 N -0.263 5.263 15 C -0.070 4.070 16 C -0.047 4.047 17 C -0.560 4.560 18 H 0.074 0.926 19 C -0.144 4.144 20 N -0.533 5.533 21 Si 0.721 3.279 22 H -0.202 1.202 23 H -0.213 1.213 24 H -0.202 1.202 25 C -0.115 4.115 26 C -0.014 4.014 27 O -0.283 6.283 28 H 0.078 0.922 29 H 0.087 0.913 30 H 0.107 0.893 31 H 0.085 0.915 32 H 0.098 0.902 33 H 0.085 0.915 34 H 0.107 0.893 35 H 0.087 0.913 36 H 0.078 0.922 37 H 0.090 0.910 38 H 0.089 0.911 39 H 0.114 0.886 40 H 0.116 0.884 41 H 0.108 0.892 42 H 0.100 0.900 43 H 0.103 0.897 44 H 0.083 0.917 45 H 0.083 0.917 46 H 0.083 0.917 47 H 0.037 0.963 48 H 0.035 0.965 49 H 0.071 0.929 50 H 0.073 0.927 51 H 0.100 0.900 52 H 0.114 0.886 53 H 0.074 0.926 Dipole moment (debyes) X Y Z Total from point charges -1.516 19.913 -15.328 25.174 hybrid contribution 0.366 -1.302 1.093 1.739 sum -1.150 18.611 -14.235 23.459 Atomic orbital electron populations 1.22512 0.94037 1.05134 1.02339 1.22050 0.94391 0.91475 0.82249 1.21848 1.02190 0.92598 1.03037 1.22515 1.01486 1.03600 0.96416 1.86306 1.71546 1.23624 1.46237 1.17463 0.78730 0.80260 0.81257 1.90894 1.41536 1.70539 1.42951 1.47195 1.52971 1.12838 1.21085 1.22032 0.94469 0.97253 0.87468 1.22640 0.97161 0.95547 1.00411 1.21925 0.86882 0.94111 0.90024 1.22699 1.03199 0.78991 0.95815 1.22486 0.94547 0.90361 1.02068 1.62761 1.04017 1.03975 1.55499 1.22357 1.00511 0.85541 0.98629 1.19658 0.96680 0.97541 0.90798 1.21099 1.45080 0.93103 0.96733 0.92623 1.25025 0.95493 0.97315 0.96521 1.69949 1.46807 1.32451 1.04104 0.86642 0.78800 0.85138 0.77340 1.20188 1.21298 1.20217 1.22743 0.95124 0.95685 0.97922 1.22771 0.87745 0.90063 1.00810 1.87819 1.18243 1.51082 1.71147 0.92207 0.91255 0.89339 0.91521 0.90227 0.91490 0.89319 0.91251 0.92246 0.90953 0.91131 0.88623 0.88417 0.89248 0.90028 0.89699 0.91656 0.91733 0.91671 0.96278 0.96479 0.92898 0.92690 0.89993 0.88639 0.92564 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -0.18 -1.80 8.37 37.16 0.31 -1.49 16 2 C 0.14 1.35 1.13 -90.62 -0.10 1.24 16 3 C -0.14 -0.98 8.85 37.16 0.33 -0.65 16 4 C -0.18 -1.76 8.37 37.16 0.31 -1.45 16 5 O -0.36 -4.50 9.49 -40.31 -0.38 -4.89 16 6 C 0.67 9.51 7.93 54.06 0.43 9.94 16 7 O -0.57 -9.18 12.15 -19.28 -0.23 -9.41 16 8 N -0.60 -7.95 3.33 -176.54 -0.59 -8.54 16 9 C 0.11 1.20 6.90 -2.96 -0.02 1.17 16 10 C -0.12 -1.32 6.12 -25.23 -0.15 -1.47 16 11 C 0.11 1.53 0.82 -89.71 -0.07 1.45 16 12 C 0.11 1.56 5.81 -2.86 -0.02 1.54 16 13 C 0.03 0.54 3.83 -4.10 -0.02 0.52 16 14 N -0.54 -9.15 4.82 -234.76 -1.13 -10.28 16 15 C 0.06 1.12 5.32 -3.82 -0.02 1.10 16 16 C -0.01 -0.21 4.26 -27.88 -0.12 -0.33 16 17 C -0.52 -14.29 9.11 -34.44 -0.31 -14.60 16 18 H 0.06 1.48 7.74 -52.49 -0.41 1.07 16 19 C 0.06 1.63 5.46 -17.82 -0.10 1.53 16 20 N -0.89 -26.27 13.29 55.43 0.74 -25.54 16 21 Si 0.89 21.28 29.54 -169.99 -5.02 16.26 16 22 H -0.28 -6.47 7.11 56.52 0.40 -6.06 16 23 H -0.29 -6.80 7.11 56.52 0.40 -6.40 16 24 H -0.28 -6.49 7.11 56.52 0.40 -6.09 16 25 C 0.01 0.22 5.29 -3.70 -0.02 0.20 16 26 C 0.06 0.87 6.80 37.21 0.25 1.13 16 27 O -0.36 -5.47 10.33 -35.23 -0.36 -5.84 16 28 H 0.06 0.57 8.14 -51.93 -0.42 0.15 16 29 H 0.07 0.53 8.14 -51.93 -0.42 0.11 16 30 H 0.09 1.11 5.88 -51.93 -0.31 0.80 16 31 H 0.07 0.45 8.14 -51.93 -0.42 0.02 16 32 H 0.08 0.41 8.14 -51.93 -0.42 -0.01 16 33 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 34 H 0.09 1.09 5.88 -51.93 -0.31 0.78 16 35 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 36 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 37 H 0.07 0.78 8.14 -51.93 -0.42 0.35 16 38 H 0.07 0.66 8.14 -51.93 -0.42 0.23 16 39 H 0.10 0.92 8.00 -51.93 -0.42 0.50 16 40 H 0.10 1.05 8.14 -51.93 -0.42 0.62 16 41 H 0.09 1.36 6.26 -51.93 -0.33 1.03 16 42 H 0.08 1.08 7.89 -51.92 -0.41 0.67 16 43 H 0.08 1.25 7.99 -51.93 -0.41 0.84 16 44 H 0.07 1.20 6.31 -51.93 -0.33 0.87 16 45 H 0.06 1.28 8.10 -51.93 -0.42 0.86 16 46 H 0.06 1.28 8.14 -51.93 -0.42 0.86 16 47 H 0.02 0.50 6.38 -51.93 -0.33 0.16 16 48 H 0.02 0.45 6.62 -51.93 -0.34 0.11 16 49 H 0.26 7.30 8.31 -40.82 -0.34 6.96 16 50 H 0.05 1.02 6.62 -51.93 -0.34 0.68 16 51 H 0.08 1.24 8.11 -51.93 -0.42 0.82 16 52 H 0.10 1.15 8.14 -51.93 -0.42 0.73 16 53 H 0.06 0.77 6.53 -51.93 -0.34 0.43 16 LS Contribution 402.97 15.07 6.07 6.07 Total: -1.00 -31.43 402.97 -9.55 -40.99 By element: Atomic # 1 Polarization: 10.66 SS G_CDS: -9.32 Total: 1.34 kcal Atomic # 6 Polarization: -0.84 SS G_CDS: 0.68 Total: -0.16 kcal Atomic # 7 Polarization: -43.38 SS G_CDS: -0.98 Total: -44.36 kcal Atomic # 8 Polarization: -19.16 SS G_CDS: -0.98 Total: -20.14 kcal Atomic # 14 Polarization: 21.28 SS G_CDS: -5.02 Total: 16.26 kcal Total LS contribution 6.07 Total: 6.07 kcal Total: -31.43 -9.55 -40.99 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. ZINC001177050557.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 -74.896 kcal (2) G-P(sol) polarization free energy of solvation -31.435 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -106.331 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.551 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.986 kcal (6) G-S(sol) free energy of system = (1) + (5) -115.882 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.90 seconds