Wall clock time and date at job start Tue Mar 31 2020 20:25:31 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 1.53004 * 1 3 3 C 1.53000 * 109.47081 * 2 1 4 4 C 1.50697 * 109.46717 * 240.00285 * 2 1 3 5 5 H 1.08001 * 119.99764 * 239.99855 * 4 2 1 6 6 C 1.37879 * 120.00363 * 59.99922 * 4 2 1 7 7 N 1.31512 * 119.99529 * 359.97438 * 6 4 2 8 8 Si 1.86799 * 120.00189 * 179.97438 * 6 4 2 9 9 H 1.48491 * 109.47220 * 90.00021 * 8 6 4 10 10 H 1.48507 * 109.47100 * 210.00066 * 8 6 4 11 11 H 1.48506 * 109.47043 * 329.99852 * 8 6 4 12 12 C 1.52999 * 109.47297 * 120.00417 * 2 1 3 13 13 N 1.46501 * 109.46677 * 299.99691 * 12 2 1 14 14 C 1.34783 * 119.99700 * 180.02562 * 13 12 2 15 15 O 1.21346 * 119.99758 * 0.02562 * 14 13 12 16 16 C 1.49452 * 120.00008 * 180.02562 * 14 13 12 17 17 O 1.21348 * 119.99603 * 359.97438 * 16 14 13 18 18 N 1.34770 * 119.99820 * 180.02562 * 16 14 13 19 19 C 1.46502 * 119.99842 * 179.97438 * 18 16 14 20 20 H 1.08995 * 109.84491 * 34.06266 * 19 18 16 21 21 C 1.52829 * 109.90630 * 273.08899 * 19 18 16 22 22 C 1.51065 * 110.77395 * 304.30013 * 21 19 18 23 23 C 1.49182 * 117.42892 * 326.47128 * 22 21 19 24 24 H 1.09003 * 106.25120 * 124.38703 * 23 22 21 25 25 C 1.54701 * 110.94125 * 237.69595 * 23 22 21 26 26 C 1.55236 * 103.43370 * 157.92379 * 25 23 22 27 27 C 1.55227 * 102.17269 * 320.89171 * 26 25 23 28 28 C 1.50833 * 120.52569 * 3.89236 * 23 22 21 29 29 H 1.09006 * 107.24703 * 116.42197 * 28 23 22 30 30 C 1.51094 * 116.58417 * 355.23360 * 28 23 22 31 31 H 1.09002 * 109.46981 * 299.99637 * 1 2 3 32 32 H 1.08998 * 109.47607 * 59.99784 * 1 2 3 33 33 H 1.08996 * 109.47025 * 180.02562 * 1 2 3 34 34 H 1.08991 * 109.47358 * 180.02562 * 3 2 1 35 35 H 1.08998 * 109.47076 * 300.00541 * 3 2 1 36 36 H 1.09002 * 109.46916 * 60.00323 * 3 2 1 37 37 H 0.97008 * 119.99626 * 180.02562 * 7 6 4 38 38 H 1.09001 * 109.46937 * 180.02562 * 12 2 1 39 39 H 1.08996 * 109.47482 * 59.99791 * 12 2 1 40 40 H 0.96998 * 120.00566 * 0.02562 * 13 12 2 41 41 H 0.97001 * 120.00712 * 359.97438 * 18 16 14 42 42 H 1.09003 * 109.21399 * 64.63134 * 21 19 18 43 43 H 1.08999 * 109.21528 * 183.96071 * 21 19 18 44 44 H 1.08997 * 107.85526 * 88.48323 * 22 21 19 45 45 H 1.09001 * 107.85080 * 204.46952 * 22 21 19 46 46 H 1.09003 * 110.62538 * 39.43884 * 25 23 22 47 47 H 1.08989 * 110.63256 * 276.40805 * 25 23 22 48 48 H 1.09003 * 110.85974 * 202.72598 * 26 25 23 49 49 H 1.08997 * 110.86585 * 79.06283 * 26 25 23 50 50 H 1.09001 * 110.61435 * 157.53202 * 27 26 25 51 51 H 1.09000 * 110.62076 * 280.37454 * 27 26 25 52 52 H 1.09004 * 109.23400 * 155.58125 * 30 28 23 53 53 H 1.09006 * 109.23193 * 274.98421 * 30 28 23 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 1.4425 0.0000 4 6 2.0323 -0.7104 -1.2305 5 1 2.6532 -1.5885 -1.1314 6 6 1.6991 -0.2393 -2.4828 7 7 0.9427 0.8297 -2.6033 8 14 2.3223 -1.1194 -4.0080 9 1 1.3447 -2.1614 -4.4124 10 1 2.4871 -0.1400 -5.1121 11 1 3.6307 -1.7565 -3.7121 12 6 2.0401 -0.7213 1.2492 13 7 1.5518 -0.0307 2.4453 14 6 1.8778 -0.4909 3.6695 15 8 2.5762 -1.4770 3.7807 16 6 1.3793 0.2132 4.8898 17 8 0.6813 1.1996 4.7784 18 7 1.7057 -0.2467 6.1138 19 6 1.2175 0.4439 7.3100 20 1 0.2245 0.8523 7.1221 21 6 2.1785 1.5700 7.6894 22 6 3.5802 1.0383 7.8754 23 6 3.7247 -0.3405 8.4264 24 1 4.3266 -0.8951 7.7065 25 6 4.5690 -0.3322 9.7227 26 6 4.1469 -1.6446 10.4363 27 6 2.6213 -1.6945 10.1543 28 6 2.5074 -1.1891 8.6962 29 1 2.5650 -2.0557 8.0375 30 6 1.1638 -0.5305 8.4862 31 1 -0.3633 0.5138 0.8900 32 1 -0.3634 0.5138 -0.8899 33 1 -0.3633 -1.0276 0.0005 34 1 3.1299 1.4426 -0.0005 35 1 1.6766 1.9563 -0.8899 36 1 1.6767 1.9563 0.8900 37 1 0.7080 1.1609 -3.4844 38 1 3.1301 -0.7209 1.2493 39 1 1.6768 -1.7490 1.2492 40 1 0.9938 0.7578 2.3564 41 1 2.2640 -1.0349 6.2028 42 1 2.1814 2.3207 6.8991 43 1 1.8429 2.0301 8.6189 44 1 4.0790 1.0651 6.9066 45 1 4.1111 1.7207 8.5392 46 1 4.3226 0.5347 10.3359 47 1 5.6332 -0.3479 9.4880 48 1 4.3420 -1.5842 11.5071 49 1 4.6513 -2.5050 9.9967 50 1 2.2490 -2.7156 10.2370 51 1 2.0833 -1.0347 10.8350 52 1 0.4159 -1.2971 8.2835 53 1 0.8852 0.0128 9.3892 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 ZINC000422363692.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 20:25:31 Heat of formation + Delta-G solvation = -100.291433 kcal Electronic energy + Delta-G solvation = -30188.510473 eV Core-core repulsion = 26251.655303 eV Total energy + Delta-G solvation = -3936.855170 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.08 seconds Orbital eigenvalues (eV) -40.96186 -39.80174 -38.22036 -36.46861 -35.90693 -33.45428 -32.90230 -31.87199 -30.87913 -28.97282 -27.25703 -26.22642 -25.71707 -25.27178 -23.69826 -22.85967 -21.41935 -21.25722 -20.10301 -18.99128 -18.52106 -17.92167 -16.80631 -16.45973 -15.94659 -15.74161 -15.25113 -15.12734 -14.86653 -14.74776 -14.51230 -14.36091 -13.86193 -13.66463 -13.50299 -13.12760 -12.92675 -12.67052 -12.38341 -12.32247 -12.22236 -12.19221 -11.62866 -11.40667 -11.39323 -11.33092 -11.17000 -11.08498 -10.92102 -10.87861 -10.70365 -10.53467 -10.41088 -10.39452 -10.23767 -10.19538 -9.64702 -9.52110 -9.22389 -9.17241 -8.79735 -8.58417 -8.36697 -6.02389 -4.13095 1.70374 2.63934 3.28121 3.35266 3.38723 3.51438 3.95029 4.11367 4.16564 4.28670 4.39485 4.65073 4.69826 4.78854 4.84852 4.87348 4.98041 5.05449 5.18164 5.24220 5.32587 5.35848 5.45593 5.49072 5.51927 5.57575 5.62854 5.67752 5.78186 5.84081 5.94022 5.98134 6.04913 6.12485 6.14874 6.22077 6.24380 6.33060 6.47766 6.64809 6.84046 6.85815 6.95027 7.00969 7.18338 7.34207 7.55653 7.68181 7.75971 8.00548 8.01502 8.13922 8.34060 8.43090 8.87087 9.52706 10.98998 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.025511 B = 0.002195 C = 0.002133 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1097.282706 B =12751.437336 C =13122.022393 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.133 4.133 2 C 0.056 3.944 3 C -0.133 4.133 4 C -0.507 4.507 5 H 0.058 0.942 6 C 0.066 3.934 7 N -0.884 5.884 8 Si 0.894 3.106 9 H -0.281 1.281 10 H -0.287 1.287 11 H -0.274 1.274 12 C 0.128 3.872 13 N -0.680 5.680 14 C 0.494 3.506 15 O -0.537 6.537 16 C 0.508 3.492 17 O -0.522 6.522 18 N -0.696 5.696 19 C 0.145 3.855 20 H 0.095 0.905 21 C -0.127 4.127 22 C -0.104 4.104 23 C -0.083 4.083 24 H 0.058 0.942 25 C -0.120 4.120 26 C -0.129 4.129 27 C -0.118 4.118 28 C -0.084 4.084 29 H 0.065 0.935 30 C -0.117 4.117 31 H 0.008 0.992 32 H 0.087 0.913 33 H 0.027 0.973 34 H 0.027 0.973 35 H 0.087 0.913 36 H 0.008 0.992 37 H 0.260 0.740 38 H 0.061 0.939 39 H 0.061 0.939 40 H 0.411 0.589 41 H 0.411 0.589 42 H 0.070 0.930 43 H 0.071 0.929 44 H 0.056 0.944 45 H 0.060 0.940 46 H 0.065 0.935 47 H 0.064 0.936 48 H 0.065 0.935 49 H 0.067 0.933 50 H 0.064 0.936 51 H 0.067 0.933 52 H 0.071 0.929 53 H 0.080 0.920 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 2.498 -0.816 25.902 26.034 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 -0.191 4.191 2 C 0.055 3.945 3 C -0.191 4.191 4 C -0.545 4.545 5 H 0.076 0.924 6 C -0.135 4.135 7 N -0.523 5.523 8 Si 0.722 3.278 9 H -0.207 1.207 10 H -0.213 1.213 11 H -0.199 1.199 12 C 0.006 3.994 13 N -0.332 5.332 14 C 0.274 3.726 15 O -0.415 6.415 16 C 0.289 3.711 17 O -0.397 6.397 18 N -0.350 5.350 19 C 0.041 3.959 20 H 0.113 0.887 21 C -0.165 4.165 22 C -0.142 4.142 23 C -0.102 4.102 24 H 0.077 0.923 25 C -0.158 4.158 26 C -0.167 4.167 27 C -0.156 4.156 28 C -0.103 4.103 29 H 0.084 0.916 30 C -0.155 4.155 31 H 0.027 0.973 32 H 0.106 0.894 33 H 0.046 0.954 34 H 0.046 0.954 35 H 0.106 0.894 36 H 0.027 0.973 37 H 0.071 0.929 38 H 0.079 0.921 39 H 0.080 0.920 40 H 0.248 0.752 41 H 0.247 0.753 42 H 0.089 0.911 43 H 0.090 0.910 44 H 0.075 0.925 45 H 0.079 0.921 46 H 0.084 0.916 47 H 0.082 0.918 48 H 0.083 0.917 49 H 0.085 0.915 50 H 0.083 0.917 51 H 0.086 0.914 52 H 0.089 0.911 53 H 0.099 0.901 Dipole moment (debyes) X Y Z Total from point charges 2.431 -0.693 25.702 25.826 hybrid contribution 0.427 -0.492 -0.903 1.113 sum 2.857 -1.185 24.799 24.992 Atomic orbital electron populations 1.21856 0.97592 0.99272 1.00394 1.18383 0.92976 0.92867 0.90283 1.21851 0.98604 0.98261 1.00389 1.20946 1.31663 1.12142 0.89776 0.92375 1.24887 0.94862 0.94909 0.98878 1.69811 1.36505 1.22656 1.23282 0.86555 0.79285 0.79361 0.82561 1.20711 1.21262 1.19916 1.21931 0.98504 0.96016 0.82907 1.46222 1.50412 1.31406 1.05171 1.20027 0.82379 0.85222 0.85005 1.90716 1.37951 1.26030 1.86818 1.20470 0.80912 0.84670 0.85071 1.90742 1.36709 1.25444 1.86846 1.45795 1.52691 1.32028 1.04483 1.20939 0.98521 0.92834 0.83587 0.88701 1.21496 0.95095 0.97933 1.01998 1.20273 0.97237 0.95543 1.01143 1.20330 0.96084 0.95971 0.97789 0.92313 1.22776 0.99228 0.97751 0.96041 1.22602 0.96008 0.97950 1.00108 1.22668 0.96371 1.00961 0.95573 1.20738 0.93844 0.98230 0.97451 0.91620 1.21483 0.97216 0.98943 0.97856 0.97262 0.89440 0.95365 0.95364 0.89449 0.97258 0.92948 0.92062 0.92049 0.75206 0.75266 0.91114 0.90995 0.92514 0.92103 0.91588 0.91762 0.91674 0.91454 0.91679 0.91389 0.91067 0.90134 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 -0.13 -3.07 8.08 37.16 0.30 -2.77 16 2 C 0.06 1.30 0.50 -155.66 -0.08 1.22 16 3 C -0.13 -3.07 8.08 37.16 0.30 -2.77 16 4 C -0.51 -13.18 8.01 -34.44 -0.28 -13.46 16 5 H 0.06 1.51 7.74 -52.49 -0.41 1.11 16 6 C 0.07 1.74 5.15 -17.82 -0.09 1.64 16 7 N -0.88 -23.64 9.35 55.43 0.52 -23.12 16 8 Si 0.89 20.65 29.54 -169.99 -5.02 15.63 16 9 H -0.28 -6.49 7.11 56.52 0.40 -6.08 16 10 H -0.29 -6.62 7.11 56.52 0.40 -6.21 16 11 H -0.27 -6.32 7.11 56.52 0.40 -5.92 16 12 C 0.13 2.71 4.50 -4.04 -0.02 2.69 16 13 N -0.68 -12.77 4.95 -60.73 -0.30 -13.07 16 14 C 0.49 8.76 7.89 -11.58 -0.09 8.67 16 15 O -0.54 -10.36 16.48 5.50 0.09 -10.27 16 16 C 0.51 7.79 7.88 -11.59 -0.09 7.70 16 17 O -0.52 -8.95 16.13 5.50 0.09 -8.86 16 18 N -0.70 -8.23 4.45 -54.41 -0.24 -8.47 16 19 C 0.15 1.38 2.88 -68.10 -0.20 1.19 16 20 H 0.09 0.99 7.57 -51.93 -0.39 0.60 16 21 C -0.13 -1.13 5.63 -27.79 -0.16 -1.29 16 22 C -0.10 -0.89 5.12 -29.58 -0.15 -1.04 16 23 C -0.08 -0.65 2.24 -92.69 -0.21 -0.85 16 24 H 0.06 0.52 8.00 -51.93 -0.42 0.10 16 25 C -0.12 -0.81 6.05 -24.65 -0.15 -0.96 16 26 C -0.13 -0.80 6.94 -24.37 -0.17 -0.97 16 27 C -0.12 -0.72 6.32 -24.64 -0.16 -0.88 16 28 C -0.08 -0.60 1.99 -91.75 -0.18 -0.79 16 29 H 0.07 0.51 7.54 -51.93 -0.39 0.12 16 30 C -0.12 -0.84 5.08 -27.78 -0.14 -0.98 16 31 H 0.01 0.18 6.86 -51.93 -0.36 -0.18 16 32 H 0.09 2.21 6.07 -51.93 -0.32 1.90 16 33 H 0.03 0.63 8.14 -51.93 -0.42 0.21 16 34 H 0.03 0.63 8.14 -51.93 -0.42 0.21 16 35 H 0.09 2.21 6.07 -51.93 -0.32 1.90 16 36 H 0.01 0.18 6.86 -51.93 -0.36 -0.18 16 37 H 0.26 6.72 8.31 -40.82 -0.34 6.38 16 38 H 0.06 1.32 8.14 -51.93 -0.42 0.90 16 39 H 0.06 1.33 8.14 -51.93 -0.42 0.90 16 40 H 0.41 7.60 5.63 -40.82 -0.23 7.37 16 41 H 0.41 4.65 6.52 -40.82 -0.27 4.38 16 42 H 0.07 0.76 8.14 -51.93 -0.42 0.34 16 43 H 0.07 0.53 8.10 -51.93 -0.42 0.10 16 44 H 0.06 0.57 8.11 -51.93 -0.42 0.15 16 45 H 0.06 0.47 7.31 -51.93 -0.38 0.09 16 46 H 0.07 0.42 7.82 -51.93 -0.41 0.02 16 47 H 0.06 0.43 8.14 -51.94 -0.42 0.01 16 48 H 0.06 0.36 8.14 -51.93 -0.42 -0.07 16 49 H 0.07 0.43 8.14 -51.93 -0.42 0.01 16 50 H 0.06 0.38 8.14 -51.93 -0.42 -0.04 16 51 H 0.07 0.38 7.61 -51.93 -0.40 -0.01 16 52 H 0.07 0.50 8.14 -51.93 -0.42 0.08 16 53 H 0.08 0.48 7.53 -51.93 -0.39 0.09 16 LS Contribution 399.65 15.07 6.02 6.02 Total: -1.00 -27.88 399.65 -9.62 -37.50 By element: Atomic # 1 Polarization: 17.49 SS G_CDS: -9.22 Total: 8.27 kcal Atomic # 6 Polarization: -2.08 SS G_CDS: -1.56 Total: -3.63 kcal Atomic # 7 Polarization: -44.64 SS G_CDS: -0.02 Total: -44.66 kcal Atomic # 8 Polarization: -19.31 SS G_CDS: 0.18 Total: -19.13 kcal Atomic # 14 Polarization: 20.65 SS G_CDS: -5.02 Total: 15.63 kcal Total LS contribution 6.02 Total: 6.02 kcal Total: -27.88 -9.62 -37.50 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. ZINC000422363692.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 -62.789 kcal (2) G-P(sol) polarization free energy of solvation -27.880 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -90.670 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.622 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -37.502 kcal (6) G-S(sol) free energy of system = (1) + (5) -100.291 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.08 seconds