Wall clock time and date at job start Sat Apr 11 2020 06:17:46 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 1.52995 * 1 3 3 C 1.53000 * 109.47340 * 2 1 4 4 O 1.42898 * 109.47655 * 239.99804 * 2 1 3 5 5 C 1.53006 * 109.46904 * 119.99759 * 2 1 3 6 6 H 1.08997 * 109.49503 * 64.94064 * 5 2 1 7 7 C 1.53041 * 109.49681 * 185.00165 * 5 2 1 8 8 C 1.53039 * 109.53696 * 181.31810 * 7 5 2 9 9 C 1.53196 * 109.31201 * 298.63524 * 8 7 5 10 10 N 1.46923 * 108.77474 * 54.63480 * 9 8 7 11 11 C 1.34778 * 120.63008 * 126.36719 * 10 9 8 12 12 O 1.21343 * 120.00349 * 188.66737 * 11 10 9 13 13 C 1.49453 * 119.99631 * 8.67277 * 11 10 9 14 14 O 1.21342 * 120.00588 * 6.76206 * 13 11 10 15 15 N 1.34780 * 119.99355 * 186.76673 * 13 11 10 16 16 C 1.46510 * 119.99456 * 179.97438 * 15 13 11 17 17 C 1.53006 * 109.46793 * 179.97438 * 16 15 13 18 18 C 1.52999 * 109.46848 * 60.00327 * 17 16 15 19 19 C 1.53001 * 109.47171 * 300.00088 * 17 16 15 20 20 C 1.50700 * 109.46765 * 180.02562 * 17 16 15 21 21 H 1.08000 * 120.00277 * 359.97438 * 20 17 16 22 22 C 1.37874 * 119.99710 * 180.02562 * 20 17 16 23 23 N 1.31513 * 120.00090 * 0.02562 * 22 20 17 24 24 Si 1.86800 * 119.99948 * 179.97438 * 22 20 17 25 25 H 1.48504 * 109.47112 * 180.02562 * 24 22 20 26 26 H 1.48507 * 109.46994 * 299.99984 * 24 22 20 27 27 H 1.48494 * 109.47185 * 59.99821 * 24 22 20 28 28 C 1.46927 * 118.73801 * 306.64217 * 10 9 8 29 29 H 1.08994 * 109.47900 * 300.00212 * 1 2 3 30 30 H 1.09005 * 109.46804 * 60.00264 * 1 2 3 31 31 H 1.09000 * 109.47004 * 179.97438 * 1 2 3 32 32 H 1.08998 * 109.47490 * 179.97438 * 3 2 1 33 33 H 1.09001 * 109.47114 * 300.00569 * 3 2 1 34 34 H 1.09008 * 109.46803 * 59.99354 * 3 2 1 35 35 H 0.96700 * 113.99971 * 300.00367 * 4 2 1 36 36 H 1.09004 * 109.45752 * 61.29558 * 7 5 2 37 37 H 1.08997 * 109.46236 * 301.33972 * 7 5 2 38 38 H 1.09005 * 109.49557 * 178.68578 * 8 7 5 39 39 H 1.08995 * 109.52500 * 58.60706 * 8 7 5 40 40 H 1.09002 * 109.58701 * 294.84810 * 9 8 7 41 41 H 1.09003 * 109.70172 * 174.49401 * 9 8 7 42 42 H 0.96996 * 120.00786 * 359.97438 * 15 13 11 43 43 H 1.09002 * 109.47095 * 59.99874 * 16 15 13 44 44 H 1.08995 * 109.46997 * 299.99492 * 16 15 13 45 45 H 1.09001 * 109.46571 * 180.02562 * 18 17 16 46 46 H 1.09010 * 109.47049 * 299.99374 * 18 17 16 47 47 H 1.08995 * 109.47680 * 59.99660 * 18 17 16 48 48 H 1.09002 * 109.47260 * 300.00062 * 19 17 16 49 49 H 1.08996 * 109.47274 * 60.00058 * 19 17 16 50 50 H 1.08997 * 109.46669 * 180.02562 * 19 17 16 51 51 H 0.97000 * 120.00281 * 179.97438 * 23 22 20 52 52 H 1.09004 * 109.58026 * 173.14157 * 28 10 9 53 53 H 1.08995 * 109.58548 * 293.56644 * 28 10 9 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 6 2.0400 1.4425 0.0000 4 8 2.0064 -0.6736 -1.1667 5 6 2.0399 -0.7212 1.2493 6 1 1.7508 -1.7713 1.2066 7 6 3.5651 -0.6136 1.3144 8 6 4.0790 -1.3627 2.5461 9 6 3.4946 -0.7220 3.8090 10 7 2.0306 -0.6903 3.6892 11 6 1.2512 -1.2177 4.6540 12 8 0.0560 -1.3283 4.4756 13 6 1.8588 -1.6661 5.9437 14 8 3.0298 -1.4445 6.1722 15 7 1.1061 -2.3167 6.8529 16 6 1.7019 -2.7567 8.1170 17 6 0.6403 -3.4633 8.9625 18 6 0.1065 -4.6777 8.2002 19 6 -0.5095 -2.4958 9.2501 20 6 1.2530 -3.9154 10.2629 21 1 2.2954 -3.7189 10.4659 22 6 0.4831 -4.5808 11.1931 23 7 -0.7859 -4.8214 10.9453 24 14 1.2427 -5.1419 12.8048 25 1 0.2126 -5.8286 13.6250 26 1 2.3591 -6.0806 12.5256 27 1 1.7604 -3.9632 13.5449 28 6 1.4327 -0.0783 2.4948 29 1 -0.3635 0.5138 0.8899 30 1 -0.3633 0.5138 -0.8901 31 1 -0.3633 -1.0277 -0.0005 32 1 3.1300 1.4425 0.0005 33 1 1.6766 1.9564 -0.8899 34 1 1.6765 1.9563 0.8900 35 1 1.7211 -1.5952 -1.2328 36 1 3.8526 0.4357 1.3814 37 1 3.9988 -1.0520 0.4157 38 1 5.1670 -1.3053 2.5791 39 1 3.7712 -2.4069 2.4921 40 1 3.8749 0.2943 3.9126 41 1 3.7772 -1.3087 4.6832 42 1 0.1700 -2.4936 6.6705 43 1 2.0819 -1.8915 8.6602 44 1 2.5213 -3.4457 7.9120 45 1 -0.6501 -5.1807 8.8023 46 1 -0.3368 -4.3502 7.2597 47 1 0.9256 -5.3669 7.9952 48 1 -0.1292 -1.6306 9.7932 49 1 -0.9528 -2.1684 8.3097 50 1 -1.2655 -2.9990 9.8528 51 1 -1.3275 -5.2899 11.5996 52 1 0.3551 -0.2426 2.5008 53 1 1.6413 0.9915 2.4892 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 ZINC001349418170.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 06:17:46 Heat of formation + Delta-G solvation = -122.261744 kcal Electronic energy + Delta-G solvation = -31317.342075 eV Core-core repulsion = 27189.078149 eV Total energy + Delta-G solvation = -4128.263926 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 6.90 seconds Orbital eigenvalues (eV) -41.01712 -39.65662 -38.26171 -37.01615 -36.40910 -33.76951 -33.22688 -32.51276 -30.92908 -29.87123 -27.94353 -26.84442 -25.75201 -25.61035 -25.02590 -24.21277 -22.69926 -21.41786 -20.16841 -19.49837 -18.83517 -17.71206 -17.16777 -16.65842 -16.04536 -15.85604 -15.53013 -15.36737 -15.07172 -14.84749 -14.55415 -14.37576 -14.22087 -14.06512 -13.75188 -13.34698 -13.04265 -12.96299 -12.87636 -12.72454 -12.47923 -12.28159 -12.25708 -12.00285 -11.91573 -11.48239 -11.41909 -11.23424 -11.21746 -11.08854 -10.90816 -10.82287 -10.74510 -10.61405 -10.42208 -10.22320 -10.13738 -9.68339 -9.45619 -9.02736 -8.85656 -8.80204 -8.62213 -8.39349 -6.04789 -4.15865 1.59301 2.45338 3.28066 3.32935 3.35637 3.37352 3.70090 3.81802 4.24595 4.35193 4.37320 4.48396 4.64435 4.73441 4.81998 4.88853 4.97307 5.04081 5.21795 5.25601 5.32631 5.36600 5.41071 5.45686 5.56503 5.61619 5.65105 5.72081 5.78789 5.83819 5.93213 5.99639 6.07084 6.12315 6.19482 6.27173 6.43686 6.65198 6.81916 6.82958 6.90976 6.97230 7.05677 7.29742 7.30070 7.52157 7.56900 7.66853 7.92966 7.97294 8.09609 8.28404 8.37444 8.84115 9.50150 10.96591 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.027234 B = 0.002214 C = 0.002132 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1027.890342 B =12641.127727 C =13127.862859 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.184 4.184 2 C 0.135 3.865 3 C -0.145 4.145 4 O -0.558 6.558 5 C -0.125 4.125 6 H 0.077 0.923 7 C -0.114 4.114 8 C -0.136 4.136 9 C 0.067 3.933 10 N -0.585 5.585 11 C 0.509 3.491 12 O -0.524 6.524 13 C 0.497 3.503 14 O -0.526 6.526 15 N -0.677 5.677 16 C 0.127 3.873 17 C 0.057 3.943 18 C -0.134 4.134 19 C -0.134 4.134 20 C -0.508 4.508 21 H 0.058 0.942 22 C 0.067 3.933 23 N -0.884 5.884 24 Si 0.895 3.105 25 H -0.288 1.288 26 H -0.277 1.277 27 H -0.277 1.277 28 C 0.110 3.890 29 H 0.070 0.930 30 H 0.064 0.936 31 H 0.060 0.940 32 H 0.068 0.932 33 H 0.062 0.938 34 H 0.072 0.928 35 H 0.376 0.624 36 H 0.067 0.933 37 H 0.070 0.930 38 H 0.077 0.923 39 H 0.064 0.936 40 H 0.066 0.934 41 H 0.145 0.855 42 H 0.411 0.589 43 H 0.063 0.937 44 H 0.063 0.937 45 H 0.087 0.913 46 H 0.008 0.992 47 H 0.028 0.972 48 H 0.028 0.972 49 H 0.008 0.992 50 H 0.087 0.913 51 H 0.261 0.739 52 H 0.097 0.903 53 H 0.073 0.927 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 4.808 9.255 -21.195 23.622 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 -0.241 4.241 2 C 0.094 3.906 3 C -0.201 4.201 4 O -0.364 6.364 5 C -0.145 4.145 6 H 0.096 0.904 7 C -0.151 4.151 8 C -0.174 4.174 9 C -0.054 4.054 10 N -0.318 5.318 11 C 0.292 3.708 12 O -0.399 6.399 13 C 0.278 3.722 14 O -0.406 6.406 15 N -0.328 5.328 16 C 0.005 3.995 17 C 0.056 3.944 18 C -0.192 4.192 19 C -0.192 4.192 20 C -0.547 4.547 21 H 0.076 0.924 22 C -0.135 4.135 23 N -0.523 5.523 24 Si 0.723 3.277 25 H -0.213 1.213 26 H -0.203 1.203 27 H -0.203 1.203 28 C -0.012 4.012 29 H 0.089 0.911 30 H 0.083 0.917 31 H 0.079 0.921 32 H 0.087 0.913 33 H 0.081 0.919 34 H 0.090 0.910 35 H 0.223 0.777 36 H 0.086 0.914 37 H 0.089 0.911 38 H 0.096 0.904 39 H 0.083 0.917 40 H 0.085 0.915 41 H 0.162 0.838 42 H 0.249 0.751 43 H 0.081 0.919 44 H 0.081 0.919 45 H 0.106 0.894 46 H 0.027 0.973 47 H 0.047 0.953 48 H 0.047 0.953 49 H 0.027 0.973 50 H 0.106 0.894 51 H 0.071 0.929 52 H 0.115 0.885 53 H 0.091 0.909 Dipole moment (debyes) X Y Z Total from point charges 5.074 9.831 -21.093 23.818 hybrid contribution -0.323 -0.910 0.822 1.268 sum 4.751 8.921 -20.271 22.651 Atomic orbital electron populations 1.22587 0.95588 1.02884 1.03080 1.21109 0.92515 0.92901 0.84037 1.21892 1.02338 0.93445 1.02470 1.86546 1.77281 1.28965 1.43565 1.22110 0.97021 1.00758 0.94589 0.90449 1.21609 0.93984 1.01124 0.98393 1.21969 1.00778 1.00075 0.94586 1.22918 0.77553 1.03300 1.01616 1.47908 1.07869 1.57060 1.19008 1.20422 0.86682 0.78490 0.85234 1.90734 1.14962 1.54015 1.80221 1.19977 0.86733 0.80274 0.85233 1.90440 1.15790 1.56880 1.77503 1.46270 1.14926 1.53490 1.18068 1.21976 0.97741 0.98582 0.81175 1.18374 0.91097 0.91822 0.93123 1.21863 1.01199 0.99303 0.96791 1.21863 1.00821 0.98264 0.98239 1.20901 0.96480 1.36957 1.00342 0.92389 1.24882 0.94824 0.95511 0.98256 1.69794 1.06004 1.41221 1.35244 0.86613 0.78853 0.78904 0.83359 1.21316 1.20269 1.20260 1.21766 0.99598 0.96741 0.83077 0.91061 0.91679 0.92080 0.91346 0.91895 0.90959 0.77706 0.91395 0.91101 0.90441 0.91724 0.91550 0.83815 0.75140 0.91893 0.91890 0.89402 0.97339 0.95326 0.95320 0.97267 0.89422 0.92855 0.88509 0.90865 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 -0.18 -1.29 8.33 37.15 0.31 -0.98 16 2 C 0.14 1.00 0.87 -90.62 -0.08 0.92 16 3 C -0.14 -1.00 8.12 37.16 0.30 -0.70 16 4 O -0.56 -4.37 12.49 -35.23 -0.44 -4.81 16 5 C -0.13 -1.04 1.90 -90.72 -0.17 -1.21 16 6 H 0.08 0.70 8.14 -51.93 -0.42 0.28 16 7 C -0.11 -0.91 4.55 -26.69 -0.12 -1.03 16 8 C -0.14 -1.23 6.08 -26.61 -0.16 -1.39 16 9 C 0.07 0.76 5.99 -3.71 -0.02 0.73 16 10 N -0.58 -7.30 2.98 -173.54 -0.52 -7.81 16 11 C 0.51 7.90 7.73 -11.58 -0.09 7.81 16 12 O -0.52 -9.03 15.93 5.50 0.09 -8.95 16 13 C 0.50 8.52 7.74 -11.58 -0.09 8.43 16 14 O -0.53 -9.43 13.18 5.50 0.07 -9.36 16 15 N -0.68 -12.30 4.95 -60.72 -0.30 -12.60 16 16 C 0.13 2.59 4.50 -4.03 -0.02 2.57 16 17 C 0.06 1.29 0.50 -155.66 -0.08 1.21 16 18 C -0.13 -3.02 8.08 37.16 0.30 -2.72 16 19 C -0.13 -3.04 8.08 37.16 0.30 -2.74 16 20 C -0.51 -13.00 8.01 -34.44 -0.28 -13.27 16 21 H 0.06 1.48 7.74 -52.49 -0.41 1.07 16 22 C 0.07 1.73 5.15 -17.82 -0.09 1.64 16 23 N -0.88 -23.39 9.35 55.43 0.52 -22.87 16 24 Si 0.89 20.40 29.54 -169.99 -5.02 15.38 16 25 H -0.29 -6.55 7.11 56.52 0.40 -6.15 16 26 H -0.28 -6.31 7.11 56.52 0.40 -5.90 16 27 H -0.28 -6.31 7.11 56.52 0.40 -5.91 16 28 C 0.11 1.10 4.89 -3.93 -0.02 1.08 16 29 H 0.07 0.51 6.48 -51.93 -0.34 0.17 16 30 H 0.06 0.44 8.14 -51.93 -0.42 0.02 16 31 H 0.06 0.42 8.14 -51.93 -0.42 0.00 16 32 H 0.07 0.48 6.37 -51.93 -0.33 0.15 16 33 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 34 H 0.07 0.44 6.46 -51.92 -0.34 0.11 16 35 H 0.38 1.85 9.05 45.56 0.41 2.26 16 36 H 0.07 0.52 6.42 -51.93 -0.33 0.18 16 37 H 0.07 0.57 7.79 -51.93 -0.40 0.16 16 38 H 0.08 0.61 8.14 -51.93 -0.42 0.18 16 39 H 0.06 0.64 8.14 -51.93 -0.42 0.21 16 40 H 0.07 0.69 8.14 -51.93 -0.42 0.26 16 41 H 0.15 1.96 4.31 -54.79 -0.24 1.72 16 42 H 0.41 7.42 5.65 -40.82 -0.23 7.19 16 43 H 0.06 1.31 8.14 -51.93 -0.42 0.89 16 44 H 0.06 1.30 8.14 -51.93 -0.42 0.88 16 45 H 0.09 2.19 6.07 -51.93 -0.32 1.87 16 46 H 0.01 0.16 6.86 -51.92 -0.36 -0.20 16 47 H 0.03 0.63 8.14 -51.93 -0.42 0.20 16 48 H 0.03 0.63 8.14 -51.93 -0.42 0.21 16 49 H 0.01 0.17 6.86 -51.93 -0.36 -0.18 16 50 H 0.09 2.19 6.07 -51.93 -0.32 1.88 16 51 H 0.26 6.70 8.31 -40.82 -0.34 6.36 16 52 H 0.10 1.06 5.56 -51.93 -0.29 0.77 16 53 H 0.07 0.64 6.33 -51.93 -0.33 0.31 16 LS Contribution 396.17 15.07 5.97 5.97 Total: -1.00 -28.09 396.17 -7.59 -35.67 By element: Atomic # 1 Polarization: 16.96 SS G_CDS: -7.95 Total: 9.01 kcal Atomic # 6 Polarization: 0.37 SS G_CDS: -0.01 Total: 0.36 kcal Atomic # 7 Polarization: -42.98 SS G_CDS: -0.30 Total: -43.28 kcal Atomic # 8 Polarization: -22.84 SS G_CDS: -0.28 Total: -23.12 kcal Atomic # 14 Polarization: 20.40 SS G_CDS: -5.02 Total: 15.38 kcal Total LS contribution 5.97 Total: 5.97 kcal Total: -28.09 -7.59 -35.67 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. ZINC001349418170.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 -86.590 kcal (2) G-P(sol) polarization free energy of solvation -28.086 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -114.676 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.586 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -35.672 kcal (6) G-S(sol) free energy of system = (1) + (5) -122.262 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 6.90 seconds