Wall clock time and date at job start Wed Apr 1 2020 00:25:10 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 H 1.08997 * 110.05319 * 2 1 4 4 O 1.43887 * 109.91117 * 238.81717 * 2 1 3 5 5 C 1.44432 * 106.99892 * 214.23289 * 4 2 1 6 6 C 1.55110 * 103.55483 * 39.74303 * 5 4 2 7 7 C 1.53607 * 109.91353 * 121.17795 * 2 1 3 8 8 C 1.52483 * 110.39732 * 3.09940 * 7 2 1 9 9 N 1.47135 * 109.29544 * 292.44167 * 8 7 2 10 10 C 1.46902 * 110.99488 * 178.70291 * 9 8 7 11 11 C 1.53006 * 109.46626 * 169.99961 * 10 9 8 12 12 C 1.50699 * 109.46866 * 179.97438 * 11 10 9 13 13 O 1.21282 * 120.00041 * 359.97438 * 12 11 10 14 14 N 1.34779 * 120.00037 * 180.02562 * 12 11 10 15 15 C 1.46499 * 119.99707 * 359.97438 * 14 12 11 16 16 C 1.46500 * 120.00169 * 180.02562 * 14 12 11 17 17 C 1.50702 * 109.46904 * 89.99597 * 16 14 12 18 18 H 1.07993 * 120.00490 * 0.02562 * 17 16 14 19 19 C 1.37881 * 119.99735 * 180.02562 * 17 16 14 20 20 N 1.31512 * 120.00050 * 359.97438 * 19 17 16 21 21 Si 1.86794 * 119.99825 * 180.02562 * 19 17 16 22 22 H 1.48498 * 109.47522 * 89.99831 * 21 19 17 23 23 H 1.48508 * 109.46941 * 209.99577 * 21 19 17 24 24 H 1.48502 * 109.47592 * 329.99302 * 21 19 17 25 25 C 1.47016 * 110.66942 * 302.41768 * 9 8 7 26 26 C 1.53104 * 109.37949 * 59.10971 * 25 9 8 27 27 H 1.09000 * 109.51763 * 62.56138 * 26 25 9 28 28 C 1.53006 * 109.56180 * 182.69558 * 26 25 9 29 29 O 1.42302 * 110.53085 * 240.12836 * 7 2 1 30 30 H 1.08999 * 109.47041 * 298.81833 * 1 2 3 31 31 H 1.08990 * 109.47317 * 58.82509 * 1 2 3 32 32 H 1.09011 * 109.46924 * 178.82099 * 1 2 3 33 33 H 1.08998 * 110.60939 * 158.25728 * 5 4 2 34 34 H 1.08996 * 110.60349 * 281.07461 * 5 4 2 35 35 H 1.08995 * 110.92715 * 205.23715 * 6 5 4 36 36 H 1.08994 * 110.93035 * 81.57057 * 6 5 4 37 37 H 1.08999 * 109.50067 * 172.49656 * 8 7 2 38 38 H 1.09004 * 109.49789 * 52.38625 * 8 7 2 39 39 H 1.08993 * 109.47737 * 50.00093 * 10 9 8 40 40 H 1.09000 * 109.47263 * 289.99655 * 10 9 8 41 41 H 1.09000 * 109.47050 * 299.99824 * 11 10 9 42 42 H 1.09001 * 109.46801 * 59.99937 * 11 10 9 43 43 H 1.09002 * 109.47085 * 90.00762 * 15 14 12 44 44 H 1.09002 * 109.46740 * 210.00435 * 15 14 12 45 45 H 1.09001 * 109.47266 * 330.00158 * 15 14 12 46 46 H 1.08991 * 109.47410 * 209.99714 * 16 14 12 47 47 H 1.09007 * 109.47039 * 329.99988 * 16 14 12 48 48 H 0.97004 * 119.99848 * 180.02562 * 20 19 17 49 49 H 1.09000 * 109.48535 * 179.08081 * 25 9 8 50 50 H 1.08998 * 109.48715 * 299.13726 * 25 9 8 51 51 H 1.08998 * 109.46940 * 179.74427 * 28 26 25 52 52 H 1.08999 * 109.47294 * 299.75130 * 28 26 25 53 53 H 1.09008 * 109.46946 * 59.74843 * 28 26 25 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 1 1.9037 1.0239 0.0000 4 8 2.0200 -0.7005 -1.1574 5 6 3.2374 -1.3694 -0.7620 6 6 2.9198 -1.8893 0.6644 7 6 2.0531 -0.7477 1.2356 8 6 0.8924 -1.3241 2.0390 9 7 0.1143 -0.2228 2.6278 10 6 -1.0341 -0.7365 3.3864 11 6 -1.6699 0.4041 4.1837 12 6 -2.8483 -0.1226 4.9614 13 8 -3.1502 -1.2948 4.8851 14 7 -3.5674 0.7091 5.7410 15 6 -3.2031 2.1251 5.8327 16 6 -4.7126 0.1969 6.4975 17 6 -4.2507 -0.2686 7.8543 18 1 -3.2085 -0.1904 8.1262 19 6 -5.1588 -0.7945 8.7488 20 7 -6.4281 -0.8893 8.4180 21 14 -4.5863 -1.3708 10.4308 22 1 -4.6662 -0.2435 11.3941 23 1 -5.4556 -2.4816 10.8957 24 1 -3.1823 -1.8459 10.3401 25 6 0.9694 0.6222 3.4741 26 6 2.1127 1.1933 2.6311 27 1 1.7037 1.8279 1.8449 28 6 3.0431 2.0190 3.5220 29 8 2.8472 0.1151 2.0419 30 1 -0.3633 0.4954 0.9004 31 1 -0.3633 0.5319 -0.8792 32 1 -0.3633 -1.0276 -0.0211 33 1 3.4542 -2.2002 -1.4335 34 1 4.0711 -0.6675 -0.7403 35 1 3.8333 -2.0129 1.2461 36 1 2.3572 -2.8218 0.6227 37 1 1.2807 -1.9608 2.8339 38 1 0.2514 -1.9117 1.3817 39 1 -0.6983 -1.5153 4.0711 40 1 -1.7690 -1.1514 2.6966 41 1 -0.9349 0.8190 4.8735 42 1 -2.0057 1.1829 3.4989 43 1 -3.7304 2.6866 5.0614 44 1 -3.4799 2.5085 6.8147 45 1 -2.1279 2.2336 5.6902 46 1 -5.4523 0.9884 6.6173 47 1 -5.1591 -0.6392 5.9591 48 1 -7.0670 -1.2589 9.0474 49 1 0.3782 1.4397 3.8866 50 1 1.3807 0.0241 4.2872 51 1 3.8589 2.4211 2.9213 52 1 2.4831 2.8397 3.9703 53 1 3.4502 1.3842 4.3092 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 ZINC000363939295.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 00:25:10 Heat of formation + Delta-G solvation = -103.308657 kcal Electronic energy + Delta-G solvation = -31712.719818 eV Core-core repulsion = 27585.277760 eV Total energy + Delta-G solvation = -4127.442058 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.92 seconds Orbital eigenvalues (eV) -41.32538 -39.18668 -38.29212 -36.34181 -34.83181 -33.68796 -32.69341 -31.97608 -31.27761 -30.18003 -27.85423 -27.18889 -26.34018 -25.69888 -24.51661 -22.92049 -22.67561 -22.03009 -20.90980 -19.57341 -18.43692 -17.61144 -16.92763 -16.58248 -16.29731 -15.88535 -15.75408 -15.56895 -15.41137 -15.04563 -14.77182 -14.44711 -14.27898 -14.16167 -13.81546 -13.36865 -13.00501 -12.83938 -12.79193 -12.52779 -12.47854 -12.31581 -12.14747 -12.08820 -12.01479 -11.85920 -11.80839 -11.62974 -11.36804 -11.27702 -11.20676 -11.13755 -10.95713 -10.85144 -10.59277 -10.46739 -10.18689 -10.02097 -9.66630 -9.64975 -8.93971 -8.46431 -8.41971 -7.67574 -6.07051 -4.11997 3.20766 3.27298 3.33633 3.35956 3.41835 3.42377 3.69153 4.02292 4.20722 4.33545 4.42484 4.44272 4.59146 4.75268 4.81160 4.85308 4.95908 5.01458 5.07554 5.13211 5.15046 5.27185 5.29056 5.32602 5.34625 5.36109 5.44706 5.45581 5.47976 5.50515 5.55931 5.66426 5.71140 5.74603 5.85329 5.86187 5.89073 5.96539 5.99783 6.05528 6.17245 6.45853 6.62481 6.72454 6.76562 6.96337 7.02944 7.41667 7.50750 7.89117 8.20479 8.38444 8.86951 9.05824 9.53138 11.01029 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.019300 B = 0.002391 C = 0.002348 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1450.425486 B =11709.218043 C =11921.741938 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.166 4.166 2 C 0.063 3.937 3 H 0.070 0.930 4 O -0.375 6.375 5 C 0.048 3.952 6 C -0.144 4.144 7 C 0.095 3.905 8 C 0.034 3.966 9 N -0.529 5.529 10 C 0.069 3.931 11 C -0.142 4.142 12 C 0.505 3.495 13 O -0.544 6.544 14 N -0.603 5.603 15 C 0.084 3.916 16 C 0.245 3.755 17 C -0.526 4.526 18 H 0.056 0.944 19 C 0.061 3.939 20 N -0.894 5.894 21 Si 0.898 3.102 22 H -0.280 1.280 23 H -0.285 1.285 24 H -0.275 1.275 25 C 0.011 3.989 26 C 0.086 3.914 27 H 0.069 0.931 28 C -0.144 4.144 29 O -0.367 6.367 30 H 0.118 0.882 31 H 0.048 0.952 32 H 0.058 0.942 33 H 0.093 0.907 34 H 0.062 0.938 35 H 0.092 0.908 36 H 0.091 0.909 37 H 0.047 0.953 38 H 0.097 0.903 39 H 0.047 0.953 40 H 0.089 0.911 41 H 0.088 0.912 42 H 0.094 0.906 43 H 0.045 0.955 44 H 0.073 0.927 45 H 0.056 0.944 46 H 0.032 0.968 47 H 0.044 0.956 48 H 0.263 0.737 49 H 0.095 0.905 50 H 0.046 0.954 51 H 0.065 0.935 52 H 0.075 0.925 53 H 0.063 0.937 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 19.897 5.896 -15.782 26.072 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 -0.223 4.223 2 C 0.005 3.995 3 H 0.088 0.912 4 O -0.294 6.294 5 C -0.028 4.028 6 C -0.182 4.182 7 C 0.055 3.945 8 C -0.094 4.094 9 N -0.253 5.253 10 C -0.058 4.058 11 C -0.183 4.183 12 C 0.291 3.709 13 O -0.422 6.422 14 N -0.335 5.335 15 C -0.060 4.060 16 C 0.125 3.875 17 C -0.565 4.565 18 H 0.074 0.926 19 C -0.142 4.142 20 N -0.533 5.533 21 Si 0.726 3.274 22 H -0.206 1.206 23 H -0.210 1.210 24 H -0.199 1.199 25 C -0.117 4.117 26 C 0.029 3.971 27 H 0.087 0.913 28 C -0.202 4.202 29 O -0.286 6.286 30 H 0.136 0.864 31 H 0.067 0.933 32 H 0.077 0.923 33 H 0.111 0.889 34 H 0.080 0.920 35 H 0.111 0.889 36 H 0.110 0.890 37 H 0.065 0.935 38 H 0.115 0.885 39 H 0.065 0.935 40 H 0.107 0.893 41 H 0.106 0.894 42 H 0.113 0.887 43 H 0.063 0.937 44 H 0.092 0.908 45 H 0.074 0.926 46 H 0.050 0.950 47 H 0.062 0.938 48 H 0.073 0.927 49 H 0.113 0.887 50 H 0.065 0.935 51 H 0.084 0.916 52 H 0.094 0.906 53 H 0.082 0.918 Dipole moment (debyes) X Y Z Total from point charges 19.432 5.482 -16.283 25.938 hybrid contribution 0.424 -0.683 1.927 2.088 sum 19.856 4.799 -14.357 24.968 Atomic orbital electron populations 1.22474 0.92089 1.03254 1.04442 1.23207 0.96605 0.95520 0.84140 0.91220 1.88945 1.39580 1.67556 1.33317 1.23529 0.88198 0.96495 0.94595 1.23081 1.01036 0.97273 0.96773 1.22398 0.90790 0.90544 0.90806 1.22683 0.94786 0.93278 0.98686 1.62662 1.08792 1.20173 1.33686 1.21904 0.91895 0.95820 0.96216 1.21803 0.97310 0.99747 0.99397 1.20233 0.83997 0.86448 0.80265 1.90674 1.69679 1.16600 1.65239 1.48161 1.32029 1.08235 1.45068 1.21631 0.99271 0.82811 1.02293 1.19290 0.82393 0.95323 0.90458 1.21417 0.94661 1.41514 0.98924 0.92578 1.24943 0.94819 0.95577 0.98812 1.69932 1.01794 1.45570 1.36033 0.86498 0.78706 0.78422 0.83793 1.20621 1.21042 1.19949 1.23000 0.94836 0.98571 0.95331 1.22250 0.91588 0.88279 0.95020 0.91286 1.21753 0.99637 0.99359 0.99453 1.87925 1.35182 1.40210 1.65297 0.86414 0.93287 0.92339 0.88865 0.91981 0.88943 0.89014 0.93461 0.88532 0.93470 0.89313 0.89422 0.88742 0.93668 0.90814 0.92579 0.95011 0.93828 0.92686 0.88706 0.93532 0.91624 0.90614 0.91770 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 -0.17 -1.71 8.32 37.16 0.31 -1.40 16 2 C 0.06 0.66 3.28 -26.42 -0.09 0.57 16 3 H 0.07 0.75 6.89 -51.93 -0.36 0.39 16 4 O -0.37 -4.23 11.20 -35.23 -0.39 -4.63 16 5 C 0.05 0.41 7.73 38.27 0.30 0.70 16 6 C -0.14 -1.20 6.43 -24.94 -0.16 -1.36 16 7 C 0.10 0.94 0.97 -89.89 -0.09 0.85 16 8 C 0.03 0.35 3.54 -3.96 -0.01 0.34 16 9 N -0.53 -5.61 1.95 -234.59 -0.46 -6.06 16 10 C 0.07 0.91 4.57 -3.82 -0.02 0.89 16 11 C -0.14 -1.93 3.53 -27.88 -0.10 -2.03 16 12 C 0.50 10.08 7.67 -10.99 -0.08 10.00 16 13 O -0.54 -13.35 15.56 5.56 0.09 -13.26 16 14 N -0.60 -12.49 2.86 -182.95 -0.52 -13.01 16 15 C 0.08 1.27 10.24 59.85 0.61 1.88 16 16 C 0.24 6.37 5.16 -5.19 -0.03 6.34 16 17 C -0.53 -14.87 9.39 -34.44 -0.32 -15.19 16 18 H 0.06 1.58 7.81 -52.49 -0.41 1.17 16 19 C 0.06 1.73 5.46 -17.82 -0.10 1.63 16 20 N -0.89 -26.56 13.29 55.43 0.74 -25.82 16 21 Si 0.90 21.79 29.54 -169.99 -5.02 16.77 16 22 H -0.28 -6.58 7.11 56.52 0.40 -6.18 16 23 H -0.28 -6.86 7.11 56.52 0.40 -6.46 16 24 H -0.27 -6.65 7.11 56.52 0.40 -6.24 16 25 C 0.01 0.10 4.23 -3.71 -0.02 0.09 16 26 C 0.09 0.77 3.13 -26.67 -0.08 0.69 16 27 H 0.07 0.61 6.84 -51.93 -0.36 0.26 16 28 C -0.14 -1.05 9.57 37.16 0.36 -0.69 16 29 O -0.37 -3.87 9.85 -35.23 -0.35 -4.22 16 30 H 0.12 1.23 5.42 -51.93 -0.28 0.95 16 31 H 0.05 0.50 8.14 -51.93 -0.42 0.08 16 32 H 0.06 0.62 6.50 -51.92 -0.34 0.28 16 33 H 0.09 0.61 8.14 -51.93 -0.42 0.19 16 34 H 0.06 0.50 8.14 -51.93 -0.42 0.07 16 35 H 0.09 0.72 8.07 -51.93 -0.42 0.30 16 36 H 0.09 0.69 7.84 -51.93 -0.41 0.28 16 37 H 0.05 0.52 8.14 -51.93 -0.42 0.10 16 38 H 0.10 0.98 6.34 -51.93 -0.33 0.65 16 39 H 0.05 0.71 8.04 -51.93 -0.42 0.29 16 40 H 0.09 1.25 8.10 -51.93 -0.42 0.83 16 41 H 0.09 1.05 5.53 -51.93 -0.29 0.77 16 42 H 0.09 1.10 8.11 -51.93 -0.42 0.68 16 43 H 0.04 0.59 8.14 -51.93 -0.42 0.16 16 44 H 0.07 1.16 8.07 -51.93 -0.42 0.74 16 45 H 0.06 0.67 6.44 -51.93 -0.33 0.33 16 46 H 0.03 0.84 8.07 -51.93 -0.42 0.42 16 47 H 0.04 1.28 7.42 -51.93 -0.39 0.90 16 48 H 0.26 7.38 8.31 -40.82 -0.34 7.04 16 49 H 0.09 0.82 6.02 -51.93 -0.31 0.51 16 50 H 0.05 0.50 8.14 -51.93 -0.42 0.08 16 51 H 0.06 0.45 8.14 -51.93 -0.42 0.03 16 52 H 0.08 0.44 8.14 -51.93 -0.42 0.02 16 53 H 0.06 0.49 8.14 -51.92 -0.42 0.07 16 LS Contribution 401.86 15.07 6.06 6.06 Total: -1.00 -33.53 401.86 -8.64 -42.17 By element: Atomic # 1 Polarization: 7.95 SS G_CDS: -9.25 Total: -1.30 kcal Atomic # 6 Polarization: 2.83 SS G_CDS: 0.48 Total: 3.31 kcal Atomic # 7 Polarization: -44.65 SS G_CDS: -0.24 Total: -44.90 kcal Atomic # 8 Polarization: -21.45 SS G_CDS: -0.66 Total: -22.11 kcal Atomic # 14 Polarization: 21.79 SS G_CDS: -5.02 Total: 16.77 kcal Total LS contribution 6.06 Total: 6.06 kcal Total: -33.53 -8.64 -42.17 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. ZINC000363939295.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 -61.144 kcal (2) G-P(sol) polarization free energy of solvation -33.526 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -94.670 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.639 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.165 kcal (6) G-S(sol) free energy of system = (1) + (5) -103.309 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.92 seconds