Wall clock time and date at job start Sat Apr 11 2020 06:10:17 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 1.53001 * 1 3 3 C 1.53000 * 109.47371 * 2 1 4 4 O 1.45209 * 109.46877 * 119.99566 * 2 1 3 5 5 C 1.34230 * 116.99881 * 149.99937 * 4 2 1 6 6 O 1.20825 * 119.99990 * 0.02562 * 5 4 2 7 7 C 1.50694 * 119.99935 * 179.97438 * 5 4 2 8 8 C 1.53041 * 109.46108 * 179.97438 * 7 5 4 9 9 C 1.53189 * 109.31621 * 181.38746 * 8 7 5 10 10 N 1.46933 * 108.77196 * 305.36698 * 9 8 7 11 11 C 1.34779 * 120.62793 * 233.58162 * 10 9 8 12 12 O 1.21586 * 119.99900 * 5.22563 * 11 10 9 13 13 N 1.34778 * 119.99935 * 185.21977 * 11 10 9 14 14 C 1.46502 * 119.99582 * 175.01517 * 13 11 10 15 15 C 1.53000 * 109.46534 * 180.02562 * 14 13 11 16 16 C 1.52993 * 109.47462 * 300.00333 * 15 14 13 17 17 C 1.53008 * 109.47233 * 60.00335 * 15 14 13 18 18 C 1.50704 * 109.46817 * 179.97438 * 15 14 13 19 19 H 1.07991 * 120.00260 * 0.02562 * 18 15 14 20 20 C 1.37882 * 119.99579 * 180.02562 * 18 15 14 21 21 N 1.31510 * 120.00586 * 359.97438 * 20 18 15 22 22 Si 1.86804 * 119.99736 * 180.02562 * 20 18 15 23 23 H 1.48506 * 109.46761 * 359.97438 * 22 20 18 24 24 H 1.48499 * 109.47156 * 119.99559 * 22 20 18 25 25 H 1.48499 * 109.47057 * 240.00079 * 22 20 18 26 26 C 1.46924 * 118.73982 * 53.85715 * 10 9 8 27 27 C 1.53042 * 109.46243 * 300.06949 * 7 5 4 28 28 H 1.09001 * 109.47324 * 300.00409 * 1 2 3 29 29 H 1.08997 * 109.46888 * 59.99931 * 1 2 3 30 30 H 1.08999 * 109.47064 * 180.02562 * 1 2 3 31 31 H 1.09001 * 109.47324 * 239.99591 * 2 1 3 32 32 H 1.09001 * 109.47230 * 59.99534 * 3 2 1 33 33 H 1.08996 * 109.47314 * 180.02562 * 3 2 1 34 34 H 1.09007 * 109.46619 * 299.99885 * 3 2 1 35 35 H 1.08995 * 109.46221 * 60.02918 * 7 5 4 36 36 H 1.09006 * 109.49766 * 61.43314 * 8 7 5 37 37 H 1.09004 * 109.52237 * 301.35408 * 8 7 5 38 38 H 1.08993 * 109.58861 * 185.58030 * 9 8 7 39 39 H 1.08997 * 109.70246 * 65.21948 * 9 8 7 40 40 H 0.96998 * 119.99957 * 355.01868 * 13 11 10 41 41 H 1.08999 * 109.46950 * 60.00577 * 14 13 11 42 42 H 1.08994 * 109.47292 * 299.99762 * 14 13 11 43 43 H 1.08997 * 109.47817 * 60.00140 * 16 15 14 44 44 H 1.09004 * 109.47177 * 180.02562 * 16 15 14 45 45 H 1.09004 * 109.46800 * 299.99901 * 16 15 14 46 46 H 1.09003 * 109.46940 * 59.99619 * 17 15 14 47 47 H 1.08994 * 109.47197 * 179.97438 * 17 15 14 48 48 H 1.09000 * 109.47047 * 299.99845 * 17 15 14 49 49 H 0.96999 * 120.00270 * 180.02562 * 21 20 18 50 50 H 1.09001 * 109.58342 * 65.93187 * 26 10 9 51 51 H 1.09000 * 109.58624 * 186.35188 * 26 10 9 52 52 H 1.08997 * 109.49669 * 298.56738 * 27 7 5 53 53 H 1.09000 * 109.49776 * 58.62618 * 27 7 5 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 2.0401 1.4425 0.0000 4 8 2.0140 -0.6844 1.1857 5 6 3.1936 -1.3170 1.0853 6 8 3.8019 -1.2990 0.0415 7 6 3.7599 -2.0486 2.2749 8 6 5.1024 -2.6774 1.8950 9 6 5.6584 -3.4492 3.0958 10 7 5.7214 -2.5440 4.2515 11 6 6.8714 -2.3833 4.9359 12 8 7.8918 -2.9151 4.5433 13 7 6.8901 -1.6329 6.0553 14 6 8.1120 -1.5467 6.8589 15 6 7.8657 -0.6389 8.0656 16 6 7.4741 0.7585 7.5812 17 6 6.7348 -1.2188 8.9177 18 6 9.1224 -0.5507 8.8926 19 1 10.0083 -1.0879 8.5878 20 6 9.1412 0.2160 10.0385 21 7 8.0626 0.8707 10.4095 22 14 10.6991 0.3260 11.0633 23 1 11.7639 -0.4968 10.4350 24 1 11.1446 1.7407 11.1366 25 1 10.4273 -0.1792 12.4330 26 6 4.5056 -1.8221 4.6506 27 6 3.9634 -1.0646 3.4292 28 1 -0.3634 0.5139 0.8899 29 1 -0.3633 0.5138 -0.8900 30 1 -0.3633 -1.0277 0.0005 31 1 1.8934 -0.5139 -0.8899 32 1 1.6767 1.9564 0.8899 33 1 3.1300 1.4425 -0.0005 34 1 1.6767 1.9563 -0.8901 35 1 3.0670 -2.8315 2.5832 36 1 5.8039 -1.8932 1.6100 37 1 4.9607 -3.3606 1.0575 38 1 6.6583 -3.8155 2.8636 39 1 5.0052 -4.2908 3.3261 40 1 6.0946 -1.1501 6.3289 41 1 8.9177 -1.1340 6.2518 42 1 8.3906 -2.5422 7.2045 43 1 6.5650 0.6944 6.9833 44 1 7.2991 1.4053 8.4409 45 1 8.2798 1.1715 6.9742 46 1 7.0137 -2.2144 9.2628 47 1 6.5596 -0.5723 9.7775 48 1 5.8257 -1.2830 8.3197 49 1 8.0759 1.4103 11.2154 50 1 3.7584 -2.5326 5.0043 51 1 4.7447 -1.1146 5.4446 52 1 4.6753 -0.2953 3.1302 53 1 3.0108 -0.5997 3.6832 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 ZINC000884408646.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 06:10:17 Heat of formation + Delta-G solvation = -129.131409 kcal Electronic energy + Delta-G solvation = -30869.364392 eV Core-core repulsion = 26740.802575 eV Total energy + Delta-G solvation = -4128.561817 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.85 seconds Orbital eigenvalues (eV) -41.11089 -40.02806 -37.86875 -36.91443 -36.21157 -33.73636 -33.47334 -32.69283 -31.35190 -30.51433 -27.71999 -26.78822 -25.72167 -25.52570 -24.74533 -23.37226 -22.97342 -21.42314 -20.54479 -19.43713 -18.89004 -18.21021 -17.89775 -16.65539 -16.28671 -15.96215 -15.70690 -15.36264 -14.89401 -14.75711 -14.43233 -14.30529 -14.11398 -13.83511 -13.66058 -13.37328 -13.28383 -12.83408 -12.74253 -12.70012 -12.62279 -12.53950 -12.14209 -12.13862 -12.00692 -11.51669 -11.38073 -11.34483 -11.20557 -11.09907 -10.93003 -10.87223 -10.84515 -10.64668 -10.53403 -10.38029 -10.19182 -9.72402 -9.62580 -9.29255 -8.77563 -8.71644 -8.40195 -8.14003 -6.01577 -4.11108 1.92672 2.32206 2.91903 3.27875 3.36518 3.41693 3.58307 4.18144 4.24985 4.35885 4.37486 4.41689 4.46933 4.51286 4.70691 4.78783 4.89508 5.06043 5.09902 5.16329 5.25399 5.27661 5.32387 5.33916 5.36174 5.46069 5.56347 5.60168 5.61446 5.73084 5.78928 5.82948 6.03564 6.20769 6.21405 6.38040 6.50840 6.58491 6.80869 6.82247 6.92047 7.03929 7.10374 7.24486 7.39527 7.48651 7.56438 7.70824 8.01815 8.13054 8.37579 8.42944 8.88912 9.02456 9.54619 10.99932 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.018775 B = 0.002210 C = 0.002070 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1490.998969 B =12666.207270 C =13525.982403 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.149 4.149 2 C 0.079 3.921 3 C -0.171 4.171 4 O -0.352 6.352 5 C 0.467 3.533 6 O -0.506 6.506 7 C -0.077 4.077 8 C -0.119 4.119 9 C 0.132 3.868 10 N -0.638 5.638 11 C 0.702 3.298 12 O -0.596 6.596 13 N -0.733 5.733 14 C 0.149 3.851 15 C 0.055 3.945 16 C -0.129 4.129 17 C -0.129 4.129 18 C -0.503 4.503 19 H 0.058 0.942 20 C 0.065 3.935 21 N -0.886 5.886 22 Si 0.893 3.107 23 H -0.273 1.273 24 H -0.285 1.285 25 H -0.285 1.285 26 C 0.114 3.886 27 C -0.126 4.126 28 H 0.069 0.931 29 H 0.077 0.923 30 H 0.064 0.936 31 H 0.084 0.916 32 H 0.068 0.932 33 H 0.062 0.938 34 H 0.074 0.926 35 H 0.111 0.889 36 H 0.077 0.923 37 H 0.083 0.917 38 H 0.100 0.900 39 H 0.065 0.935 40 H 0.393 0.607 41 H 0.053 0.947 42 H 0.052 0.948 43 H 0.004 0.996 44 H 0.085 0.915 45 H 0.027 0.973 46 H 0.027 0.973 47 H 0.085 0.915 48 H 0.004 0.996 49 H 0.259 0.741 50 H 0.073 0.927 51 H 0.087 0.913 52 H 0.075 0.925 53 H 0.089 0.911 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -17.955 -2.565 -17.530 25.224 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 -0.207 4.207 2 C 0.024 3.976 3 C -0.228 4.228 4 O -0.269 6.269 5 C 0.309 3.691 6 O -0.393 6.393 7 C -0.097 4.097 8 C -0.157 4.157 9 C 0.009 3.991 10 N -0.377 5.377 11 C 0.404 3.596 12 O -0.475 6.475 13 N -0.389 5.389 14 C 0.026 3.974 15 C 0.054 3.946 16 C -0.187 4.187 17 C -0.187 4.187 18 C -0.542 4.542 19 H 0.077 0.923 20 C -0.136 4.136 21 N -0.525 5.525 22 Si 0.721 3.279 23 H -0.197 1.197 24 H -0.211 1.211 25 H -0.211 1.211 26 C -0.009 4.009 27 C -0.165 4.165 28 H 0.088 0.912 29 H 0.096 0.904 30 H 0.083 0.917 31 H 0.102 0.898 32 H 0.087 0.913 33 H 0.081 0.919 34 H 0.093 0.907 35 H 0.129 0.871 36 H 0.096 0.904 37 H 0.101 0.899 38 H 0.118 0.882 39 H 0.083 0.917 40 H 0.230 0.770 41 H 0.071 0.929 42 H 0.070 0.930 43 H 0.023 0.977 44 H 0.104 0.896 45 H 0.046 0.954 46 H 0.046 0.954 47 H 0.104 0.896 48 H 0.023 0.977 49 H 0.069 0.931 50 H 0.091 0.909 51 H 0.105 0.895 52 H 0.093 0.907 53 H 0.108 0.892 Dipole moment (debyes) X Y Z Total from point charges -17.060 -2.804 -17.956 24.927 hybrid contribution 0.332 0.477 0.514 0.776 sum -16.728 -2.327 -17.442 24.280 Atomic orbital electron populations 1.21891 0.92339 1.03163 1.03265 1.22744 0.94987 0.92808 0.87031 1.22214 1.02256 0.95152 1.03186 1.86577 1.36655 1.62559 1.41124 1.23820 0.78973 0.76253 0.90021 1.90658 1.59245 1.58471 1.30936 1.21106 0.98507 0.98275 0.91764 1.21886 0.94412 1.01023 0.98417 1.21383 1.03199 0.90957 0.83579 1.47310 1.09306 1.48331 1.32766 1.15972 0.82927 0.80127 0.80612 1.90872 1.31751 1.54633 1.70229 1.45685 1.17285 1.50924 1.25039 1.21598 0.83788 1.00139 0.91891 1.18375 0.95498 0.90838 0.89847 1.21817 0.96160 1.00401 1.00332 1.21818 0.95328 1.00012 1.01533 1.21022 0.96695 1.28857 1.07582 0.92339 1.24883 0.96198 0.95230 0.97283 1.69809 1.27301 1.30941 1.24468 0.86518 0.83554 0.77754 0.80070 1.19744 1.21094 1.21099 1.21664 0.87302 0.95764 0.96209 1.22014 1.02899 0.97579 0.93961 0.91241 0.90394 0.91706 0.89841 0.91343 0.91916 0.90719 0.87116 0.90401 0.89886 0.88174 0.91712 0.76991 0.92885 0.92989 0.97708 0.89612 0.95425 0.95427 0.89623 0.97669 0.93097 0.90886 0.89532 0.90655 0.89236 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 -0.15 -0.80 9.57 37.16 0.36 -0.44 16 2 C 0.08 0.62 3.18 -26.73 -0.09 0.53 16 3 C -0.17 -1.23 9.55 37.16 0.35 -0.87 16 4 O -0.35 -3.28 9.76 -39.26 -0.38 -3.67 16 5 C 0.47 4.84 7.23 36.00 0.26 5.10 16 6 O -0.51 -6.60 15.20 -18.75 -0.28 -6.89 16 7 C -0.08 -0.67 2.59 -91.73 -0.24 -0.91 16 8 C -0.12 -1.19 4.65 -26.61 -0.12 -1.31 16 9 C 0.13 1.49 6.44 -3.71 -0.02 1.46 16 10 N -0.64 -8.48 2.97 -178.24 -0.53 -9.01 16 11 C 0.70 12.64 8.30 -86.91 -0.72 11.92 16 12 O -0.60 -13.00 15.77 5.29 0.08 -12.92 16 13 N -0.73 -13.28 4.87 -65.23 -0.32 -13.59 16 14 C 0.15 3.21 4.51 -4.04 -0.02 3.19 16 15 C 0.06 1.27 0.50 -155.66 -0.08 1.20 16 16 C -0.13 -2.90 8.08 37.15 0.30 -2.60 16 17 C -0.13 -2.88 8.08 37.16 0.30 -2.58 16 18 C -0.50 -13.14 8.01 -34.44 -0.28 -13.42 16 19 H 0.06 1.55 7.74 -52.49 -0.41 1.15 16 20 C 0.07 1.71 5.15 -17.82 -0.09 1.61 16 21 N -0.89 -23.46 9.35 55.43 0.52 -22.94 16 22 Si 0.89 20.71 29.54 -169.99 -5.02 15.69 16 23 H -0.27 -6.34 7.11 56.52 0.40 -5.94 16 24 H -0.28 -6.61 7.11 56.52 0.40 -6.21 16 25 H -0.28 -6.60 7.11 56.52 0.40 -6.20 16 26 C 0.11 1.14 6.42 -3.49 -0.02 1.12 16 27 C -0.13 -1.10 5.32 -26.39 -0.14 -1.24 16 28 H 0.07 0.36 8.14 -51.93 -0.42 -0.06 16 29 H 0.08 0.29 8.14 -51.93 -0.42 -0.13 16 30 H 0.06 0.34 8.14 -51.93 -0.42 -0.08 16 31 H 0.08 0.72 7.16 -51.93 -0.37 0.35 16 32 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 33 H 0.06 0.56 8.14 -51.93 -0.42 0.13 16 34 H 0.07 0.41 8.14 -51.93 -0.42 -0.02 16 35 H 0.11 0.74 8.14 -51.93 -0.42 0.32 16 36 H 0.08 0.94 8.13 -51.93 -0.42 0.52 16 37 H 0.08 0.76 8.07 -51.93 -0.42 0.34 16 38 H 0.10 1.33 6.99 -51.93 -0.36 0.96 16 39 H 0.06 0.59 8.14 -51.93 -0.42 0.17 16 40 H 0.39 6.37 3.65 -40.82 -0.15 6.22 16 41 H 0.05 1.21 8.14 -51.93 -0.42 0.79 16 42 H 0.05 1.17 8.14 -51.93 -0.42 0.75 16 43 H 0.00 0.08 6.86 -51.93 -0.36 -0.28 16 44 H 0.09 2.12 6.07 -51.93 -0.32 1.81 16 45 H 0.03 0.62 8.14 -51.93 -0.42 0.19 16 46 H 0.03 0.61 8.14 -51.93 -0.42 0.19 16 47 H 0.09 2.11 6.07 -51.93 -0.32 1.79 16 48 H 0.00 0.08 6.86 -51.93 -0.36 -0.27 16 49 H 0.26 6.61 8.31 -40.82 -0.34 6.27 16 50 H 0.07 0.59 8.14 -51.93 -0.42 0.17 16 51 H 0.09 0.90 5.64 -51.93 -0.29 0.61 16 52 H 0.07 0.77 8.14 -51.93 -0.42 0.35 16 53 H 0.09 0.64 8.08 -51.93 -0.42 0.22 16 LS Contribution 409.96 15.07 6.18 6.18 Total: -1.00 -31.01 409.96 -9.24 -40.25 By element: Atomic # 1 Polarization: 13.39 SS G_CDS: -9.24 Total: 4.15 kcal Atomic # 6 Polarization: 3.00 SS G_CDS: -0.25 Total: 2.75 kcal Atomic # 7 Polarization: -45.22 SS G_CDS: -0.33 Total: -45.55 kcal Atomic # 8 Polarization: -22.89 SS G_CDS: -0.58 Total: -23.47 kcal Atomic # 14 Polarization: 20.71 SS G_CDS: -5.02 Total: 15.69 kcal Total LS contribution 6.18 Total: 6.18 kcal Total: -31.01 -9.24 -40.25 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. ZINC000884408646.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 -88.878 kcal (2) G-P(sol) polarization free energy of solvation -31.011 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -119.889 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.243 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.254 kcal (6) G-S(sol) free energy of system = (1) + (5) -129.131 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.85 seconds