Wall clock time and date at job start Tue Mar 31 2020 20:30:28 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 1.53000 * 1 3 3 C 1.50699 * 109.47003 * 2 1 4 4 C 1.32996 * 120.00440 * 120.39501 * 3 2 1 5 5 C 1.50693 * 119.99611 * 4.98970 * 4 3 2 6 6 C 1.47102 * 119.99938 * 184.99377 * 4 3 2 7 7 O 1.21614 * 119.99840 * 255.34821 * 6 4 3 8 8 N 1.34773 * 120.00299 * 75.34948 * 6 4 3 9 9 C 1.46935 * 120.58888 * 5.07142 * 8 6 4 10 10 C 1.52848 * 108.95222 * 234.16681 * 9 8 6 11 11 C 1.52424 * 109.48658 * 306.50082 * 10 9 8 12 12 C 1.53602 * 110.44310 * 296.88073 * 11 10 9 13 13 O 1.43885 * 107.11828 * 239.50964 * 12 11 10 14 14 C 1.44424 * 107.00130 * 26.36166 * 13 12 11 15 15 H 1.09003 * 110.60323 * 78.92721 * 14 13 12 16 16 C 1.53002 * 110.60982 * 201.74026 * 14 13 12 17 17 N 1.46500 * 109.47263 * 298.54856 * 16 14 13 18 18 C 1.36934 * 120.00219 * 179.97438 * 17 16 14 19 19 H 1.08003 * 119.99752 * 359.97438 * 18 17 16 20 20 C 1.38804 * 119.99978 * 180.02562 * 18 17 16 21 21 N 1.31614 * 120.00360 * 359.97438 * 20 18 17 22 22 Si 1.86810 * 119.99874 * 180.02562 * 20 18 17 23 23 H 1.48496 * 109.47279 * 89.99744 * 22 20 18 24 24 H 1.48499 * 109.47079 * 209.99830 * 22 20 18 25 25 H 1.48503 * 109.47032 * 329.99558 * 22 20 18 26 26 C 1.54327 * 110.03746 * 181.80966 * 11 10 9 27 27 C 1.52422 * 110.98705 * 59.74162 * 11 10 9 28 28 C 1.46933 * 120.59216 * 185.35621 * 8 6 4 29 29 H 1.09004 * 109.47115 * 180.02562 * 1 2 3 30 30 H 1.09000 * 109.47446 * 300.00437 * 1 2 3 31 31 H 1.08999 * 109.46852 * 60.00578 * 1 2 3 32 32 H 1.08993 * 109.47123 * 239.99307 * 2 1 3 33 33 H 1.08999 * 109.46852 * 119.99422 * 2 1 3 34 34 H 1.08009 * 119.99834 * 300.39431 * 3 2 1 35 35 H 1.09006 * 109.47466 * 64.83900 * 5 4 3 36 36 H 1.09007 * 109.47033 * 184.83288 * 5 4 3 37 37 H 1.08996 * 109.47752 * 304.83563 * 5 4 3 38 38 H 1.08997 * 109.59167 * 353.98583 * 9 8 6 39 39 H 1.09000 * 109.59158 * 114.43620 * 9 8 6 40 40 H 1.09003 * 109.54476 * 186.43557 * 10 9 8 41 41 H 1.08999 * 109.34169 * 66.44385 * 10 9 8 42 42 H 1.08998 * 109.91054 * 358.88101 * 12 11 10 43 43 H 1.09006 * 109.90746 * 119.95298 * 12 11 10 44 44 H 1.09003 * 109.46952 * 58.55067 * 16 14 13 45 45 H 1.09000 * 109.46873 * 178.54613 * 16 14 13 46 46 H 0.97005 * 119.99545 * 359.97438 * 17 16 14 47 47 H 0.97000 * 120.00593 * 180.02562 * 21 20 18 48 48 H 1.08999 * 110.92825 * 216.20914 * 26 11 10 49 49 H 1.08995 * 110.92811 * 339.87031 * 26 11 10 50 50 H 1.08997 * 109.47822 * 180.16053 * 27 11 10 51 51 H 1.09001 * 109.47729 * 60.13567 * 27 11 10 52 52 H 1.08993 * 109.59550 * 245.57928 * 28 8 6 53 53 H 1.09005 * 109.58748 * 5.87505 * 28 8 6 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 2.0323 1.4208 0.0000 4 6 2.8034 1.8536 0.9934 5 6 3.2673 0.8950 2.0595 6 6 3.2032 3.2681 1.0515 7 8 4.3350 3.5930 0.7474 8 7 2.3154 4.2039 1.4418 9 6 0.9805 3.8158 1.9177 10 6 -0.0740 4.5671 1.1054 11 6 0.2168 6.0626 1.1544 12 6 0.1077 6.5834 2.5953 13 8 -0.9120 7.5985 2.6027 14 6 -1.8130 7.3000 1.5142 15 1 -2.5001 6.5011 1.7931 16 6 -2.5866 8.5522 1.0965 17 7 -3.3918 9.0275 2.2243 18 6 -4.1733 10.1434 2.0855 19 1 -4.1957 10.6733 1.1446 20 6 -4.9358 10.5940 3.1542 21 7 -4.9081 9.9486 4.3009 22 14 -6.0025 12.1159 2.9645 23 1 -7.3524 11.7183 2.4904 24 1 -6.1209 12.8039 4.2752 25 1 -5.3820 13.0353 1.9771 26 6 -0.8667 6.8377 0.3755 27 6 1.5946 6.3700 0.5796 28 6 2.6628 5.6307 1.3931 29 1 -0.3633 -1.0277 0.0005 30 1 -0.3634 0.5139 0.8899 31 1 -0.3633 0.5137 -0.8900 32 1 1.8933 -0.5139 -0.8899 33 1 1.8933 -0.5137 0.8900 34 1 1.7661 2.0877 -0.8068 35 1 3.9220 0.1456 1.6145 36 1 3.8122 1.4427 2.8285 37 1 2.4036 0.4032 2.5069 38 1 0.8439 2.7423 1.7875 39 1 0.8788 4.0743 2.9717 40 1 -1.0619 4.3750 1.5240 41 1 -0.0444 4.2248 0.0710 42 1 -0.1738 5.7698 3.2638 43 1 1.0610 7.0086 2.9095 44 1 -1.8843 9.3304 0.7979 45 1 -3.2409 8.3123 0.2584 46 1 -3.3714 8.5518 3.0694 47 1 -5.4412 10.2633 5.0476 48 1 -0.4356 7.6935 -0.1440 49 1 -1.3882 6.1827 -0.3224 50 1 1.7779 7.4433 0.6292 51 1 1.6366 6.0416 -0.4589 52 1 2.6954 6.0338 2.4052 53 1 3.6366 5.7537 0.9191 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 ZINC001276912643.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 20:30:28 Heat of formation + Delta-G solvation = -63.953313 kcal Electronic energy + Delta-G solvation = -30187.542791 eV Core-core repulsion = 26252.263360 eV Total energy + Delta-G solvation = -3935.279431 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.91 seconds Orbital eigenvalues (eV) -41.07617 -39.63269 -37.00671 -36.59700 -34.47906 -33.45251 -32.24895 -31.60164 -31.42100 -29.57107 -27.64079 -27.17756 -25.33294 -24.95197 -23.74993 -23.38018 -22.27764 -20.95996 -20.70946 -19.33510 -18.15618 -17.32304 -17.05452 -16.47438 -16.13349 -15.73342 -15.36400 -15.25058 -14.78593 -14.68603 -14.54541 -14.22649 -14.00734 -13.72830 -13.53562 -13.37267 -13.11534 -13.07987 -12.85160 -12.77201 -12.66526 -12.58122 -12.23194 -12.05189 -11.88310 -11.75890 -11.60153 -11.42161 -11.28664 -11.22036 -11.01970 -10.78955 -10.56909 -10.44840 -10.40554 -10.10169 -9.97479 -9.62776 -9.29367 -9.27903 -8.90376 -8.83864 -6.85605 -5.70088 -2.98604 1.32570 2.33333 2.74017 3.46745 3.51452 3.53684 4.05723 4.07669 4.31391 4.39171 4.48486 4.58413 4.63441 4.66048 4.73337 4.76652 4.87058 4.94867 4.98005 5.01092 5.15214 5.17793 5.19109 5.23996 5.29553 5.33031 5.40393 5.43262 5.47693 5.49885 5.53599 5.59134 5.62015 5.67313 5.73712 5.75699 5.78031 5.87059 5.93302 6.00412 6.04274 6.06448 6.12094 6.17092 6.27569 6.35871 6.58884 6.78191 7.06888 7.32561 7.73699 7.84621 8.48334 9.59733 10.18449 10.54220 11.52737 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.021324 B = 0.002212 C = 0.002115 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1312.770764 B =12656.774963 C =13233.903154 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.148 4.148 2 C -0.102 4.102 3 C -0.113 4.113 4 C -0.162 4.162 5 C -0.104 4.104 6 C 0.558 3.442 7 O -0.541 6.541 8 N -0.602 5.602 9 C 0.104 3.896 10 C -0.120 4.120 11 C -0.092 4.092 12 C 0.053 3.947 13 O -0.355 6.355 14 C 0.074 3.926 15 H 0.067 0.933 16 C 0.160 3.840 17 N -0.728 5.728 18 C -0.239 4.239 19 H 0.069 0.931 20 C -0.015 4.015 21 N -0.932 5.932 22 Si 0.907 3.093 23 H -0.290 1.290 24 H -0.291 1.291 25 H -0.282 1.282 26 C -0.137 4.137 27 C -0.117 4.117 28 C 0.108 3.892 29 H 0.059 0.941 30 H 0.057 0.943 31 H 0.057 0.943 32 H 0.075 0.925 33 H 0.076 0.924 34 H 0.114 0.886 35 H 0.074 0.926 36 H 0.063 0.937 37 H 0.075 0.925 38 H 0.090 0.910 39 H 0.074 0.926 40 H 0.082 0.918 41 H 0.070 0.930 42 H 0.055 0.945 43 H 0.079 0.921 44 H 0.024 0.976 45 H 0.030 0.970 46 H 0.388 0.612 47 H 0.254 0.746 48 H 0.080 0.920 49 H 0.078 0.922 50 H 0.083 0.917 51 H 0.069 0.931 52 H 0.072 0.928 53 H 0.093 0.907 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 15.301 -22.325 -8.185 28.276 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 -0.205 4.205 2 C -0.139 4.139 3 C -0.132 4.132 4 C -0.165 4.165 5 C -0.161 4.161 6 C 0.346 3.654 7 O -0.419 6.419 8 N -0.335 5.335 9 C -0.019 4.019 10 C -0.158 4.158 11 C -0.092 4.092 12 C -0.024 4.024 13 O -0.273 6.273 14 C 0.016 3.984 15 H 0.085 0.915 16 C 0.032 3.968 17 N -0.372 5.372 18 C -0.370 4.370 19 H 0.087 0.913 20 C -0.211 4.211 21 N -0.580 5.580 22 Si 0.738 3.262 23 H -0.218 1.218 24 H -0.218 1.218 25 H -0.208 1.208 26 C -0.175 4.175 27 C -0.155 4.155 28 C -0.014 4.014 29 H 0.078 0.922 30 H 0.077 0.923 31 H 0.076 0.924 32 H 0.094 0.906 33 H 0.094 0.906 34 H 0.132 0.868 35 H 0.093 0.907 36 H 0.082 0.918 37 H 0.093 0.907 38 H 0.108 0.892 39 H 0.092 0.908 40 H 0.100 0.900 41 H 0.089 0.911 42 H 0.073 0.927 43 H 0.097 0.903 44 H 0.042 0.958 45 H 0.047 0.953 46 H 0.222 0.778 47 H 0.064 0.936 48 H 0.099 0.901 49 H 0.097 0.903 50 H 0.101 0.899 51 H 0.087 0.913 52 H 0.090 0.910 53 H 0.112 0.888 Dipole moment (debyes) X Y Z Total from point charges 15.815 -21.807 -8.246 28.172 hybrid contribution -0.650 0.607 0.038 0.891 sum 15.165 -21.200 -8.208 27.327 Atomic orbital electron populations 1.21699 0.94319 1.02097 1.02395 1.20751 0.96503 0.93450 1.03216 1.23290 0.95027 0.97993 0.96896 1.21387 1.01287 0.93728 1.00071 1.20678 1.01388 0.97581 0.96456 1.18589 0.84607 0.85906 0.76299 1.90804 1.19584 1.82300 1.49168 1.48100 1.14631 1.06543 1.64268 1.21784 0.81161 1.00369 0.98565 1.21828 0.98952 0.93913 1.01117 1.21503 0.95815 0.95343 0.96557 1.23242 0.92929 0.91794 0.94459 1.89109 1.38383 1.48114 1.51723 1.23426 0.91270 0.98441 0.85280 0.91505 1.20710 0.92342 0.91847 0.91863 1.42262 1.51503 1.32271 1.11157 1.19228 1.17834 1.02749 0.97202 0.91263 1.24743 1.00928 0.99468 0.95917 1.69675 1.44598 1.41412 1.02351 0.86191 0.80490 0.82806 0.76712 1.21776 1.21782 1.20798 1.23196 0.95987 1.00114 0.98252 1.21868 0.93045 1.00986 0.99612 1.21736 0.99463 0.79206 1.01036 0.92162 0.92346 0.92387 0.90622 0.90569 0.86794 0.90720 0.91806 0.90674 0.89218 0.90797 0.89971 0.91141 0.92714 0.90262 0.95779 0.95273 0.77830 0.93573 0.90122 0.90338 0.89850 0.91271 0.90978 0.88831 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -0.68 9.89 37.16 0.37 -0.31 16 2 C -0.10 -0.51 6.20 -27.88 -0.17 -0.68 16 3 C -0.11 -0.78 8.41 -36.13 -0.30 -1.08 16 4 C -0.16 -1.35 4.11 -102.85 -0.42 -1.77 16 5 C -0.10 -0.67 8.65 36.00 0.31 -0.36 16 6 C 0.56 6.24 6.99 -12.67 -0.09 6.15 16 7 O -0.54 -8.15 16.53 5.27 0.09 -8.06 16 8 N -0.60 -5.79 2.97 -174.31 -0.52 -6.30 16 9 C 0.10 0.81 5.97 -3.88 -0.02 0.79 16 10 C -0.12 -1.00 4.57 -27.10 -0.12 -1.12 16 11 C -0.09 -0.94 0.61 -154.09 -0.09 -1.04 16 12 C 0.05 0.68 6.16 37.47 0.23 0.91 16 13 O -0.35 -6.42 11.10 -35.23 -0.39 -6.81 16 14 C 0.07 1.21 3.42 -25.62 -0.09 1.13 16 15 H 0.07 1.10 8.14 -51.93 -0.42 0.68 16 16 C 0.16 3.31 6.02 -4.04 -0.02 3.28 16 17 N -0.73 -19.27 5.53 -59.91 -0.33 -19.60 16 18 C -0.24 -6.89 9.99 -15.06 -0.15 -7.05 16 19 H 0.07 1.92 7.83 -52.48 -0.41 1.51 16 20 C -0.01 -0.43 5.50 -17.44 -0.10 -0.53 16 21 N -0.93 -28.99 13.06 55.49 0.72 -28.26 16 22 Si 0.91 22.82 29.55 -169.99 -5.02 17.80 16 23 H -0.29 -7.22 7.11 56.52 0.40 -6.81 16 24 H -0.29 -7.38 7.11 56.52 0.40 -6.98 16 25 H -0.28 -6.90 7.11 56.52 0.40 -6.50 16 26 C -0.14 -1.65 5.67 -24.92 -0.14 -1.80 16 27 C -0.12 -1.11 4.62 -26.88 -0.12 -1.24 16 28 C 0.11 1.05 6.12 -3.66 -0.02 1.03 16 29 H 0.06 0.24 8.14 -51.93 -0.42 -0.18 16 30 H 0.06 0.27 8.14 -51.93 -0.42 -0.15 16 31 H 0.06 0.28 8.14 -51.93 -0.42 -0.15 16 32 H 0.08 0.35 8.14 -51.93 -0.42 -0.08 16 33 H 0.08 0.33 5.81 -51.93 -0.30 0.03 16 34 H 0.11 0.82 8.05 -52.48 -0.42 0.40 16 35 H 0.07 0.43 8.13 -51.93 -0.42 0.01 16 36 H 0.06 0.46 7.99 -51.93 -0.41 0.05 16 37 H 0.07 0.35 7.28 -51.93 -0.38 -0.03 16 38 H 0.09 0.59 5.79 -51.93 -0.30 0.29 16 39 H 0.07 0.57 6.90 -51.93 -0.36 0.21 16 40 H 0.08 0.68 8.14 -51.93 -0.42 0.26 16 41 H 0.07 0.56 8.14 -51.93 -0.42 0.13 16 42 H 0.05 0.65 6.61 -51.93 -0.34 0.30 16 43 H 0.08 0.95 6.44 -51.93 -0.33 0.61 16 44 H 0.02 0.52 8.14 -51.93 -0.42 0.09 16 45 H 0.03 0.58 8.14 -51.93 -0.42 0.16 16 46 H 0.39 10.95 7.62 -40.82 -0.31 10.64 16 47 H 0.25 7.61 8.31 -40.82 -0.34 7.27 16 48 H 0.08 0.99 7.75 -51.93 -0.40 0.59 16 49 H 0.08 0.82 7.83 -51.93 -0.41 0.41 16 50 H 0.08 0.81 8.14 -51.93 -0.42 0.39 16 51 H 0.07 0.65 8.14 -51.93 -0.42 0.23 16 52 H 0.07 0.67 6.80 -51.93 -0.35 0.32 16 53 H 0.09 1.02 7.03 -51.93 -0.36 0.65 16 LS Contribution 408.70 15.07 6.16 6.16 Total: -1.00 -34.84 408.70 -9.57 -44.41 By element: Atomic # 1 Polarization: 13.67 SS G_CDS: -9.31 Total: 4.36 kcal Atomic # 6 Polarization: -2.72 SS G_CDS: -0.96 Total: -3.68 kcal Atomic # 7 Polarization: -54.05 SS G_CDS: -0.12 Total: -54.17 kcal Atomic # 8 Polarization: -14.57 SS G_CDS: -0.30 Total: -14.88 kcal Atomic # 14 Polarization: 22.82 SS G_CDS: -5.02 Total: 17.80 kcal Total LS contribution 6.16 Total: 6.16 kcal Total: -34.84 -9.57 -44.41 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. ZINC001276912643.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 -19.543 kcal (2) G-P(sol) polarization free energy of solvation -34.842 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -54.385 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.568 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.410 kcal (6) G-S(sol) free energy of system = (1) + (5) -63.953 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.91 seconds