Wall clock time and date at job start Tue Mar 9 2021 20:20:34 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= 0 * 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 O 1.45203 * 1 3 3 C 1.34709 * 117.00146 * 2 1 4 4 O 1.21472 * 119.99564 * 0.02562 * 3 2 1 5 5 C 1.47723 * 120.00109 * 180.02562 * 3 2 1 6 6 C 1.39598 * 120.15009 * 359.97438 * 5 3 2 7 7 C 1.37967 * 119.85005 * 180.02562 * 6 5 3 8 8 C 1.38350 * 120.14576 * 359.74372 * 7 6 5 9 9 C 1.38387 * 120.30532 * 0.51040 * 8 7 6 10 10 C 1.50696 * 119.92766 * 179.76534 * 9 8 7 11 11 H 1.09000 * 112.85270 * 190.92628 * 10 9 8 12 12 C 1.53783 * 113.68799 * 322.19034 * 10 9 8 13 13 C 1.53785 * 87.08011 * 139.99321 * 12 10 9 14 14 H 1.09000 * 113.69142 * 220.01286 * 13 12 10 15 15 N 1.46500 * 113.61565 * 89.11447 * 13 12 10 16 16 C 1.34778 * 119.99901 * 107.50280 * 15 13 12 17 17 O 1.21584 * 119.99963 * 0.02562 * 16 15 13 18 18 C 1.47604 * 120.00140 * 179.97438 * 16 15 13 19 19 C 1.39717 * 120.08451 * 0.27256 * 18 16 15 20 20 C 1.37718 * 119.90869 * 180.26877 * 19 18 16 21 21 C 1.50703 * 119.95692 * 179.71154 * 20 19 18 22 22 C 1.38979 * 120.08727 * 359.43553 * 20 19 18 23 23 O 1.35709 * 119.91277 * 180.27434 * 22 20 19 24 24 C 1.39015 * 120.17583 * 0.29886 * 22 20 19 25 25 C 1.50698 * 119.95530 * 179.97438 * 24 22 20 26 26 O 1.42898 * 109.47093 * 284.99953 * 25 24 22 27 27 Si 1.86301 * 109.47155 * 164.99964 * 25 24 22 28 28 C 1.37680 * 120.08973 * 359.97438 * 24 22 20 29 29 C 1.53782 * 113.61398 * 59.72458 * 10 9 8 30 30 C 1.37930 * 120.14597 * 359.49180 * 9 8 7 31 31 H 1.09001 * 109.47047 * 299.99926 * 1 2 3 32 32 H 1.08994 * 109.47082 * 59.99988 * 1 2 3 33 33 H 1.09005 * 109.47078 * 180.02562 * 1 2 3 34 34 H 1.08000 * 120.07950 * 359.97438 * 6 5 3 35 35 H 1.08001 * 119.92885 * 180.02562 * 7 6 5 36 36 H 1.08006 * 119.84858 * 180.25982 * 8 7 6 37 37 H 1.08998 * 113.61692 * 25.44804 * 12 10 9 38 38 H 1.09006 * 113.61648 * 254.53654 * 12 10 9 39 39 H 0.96997 * 120.00171 * 287.50133 * 15 13 12 40 40 H 1.07998 * 120.04717 * 359.97438 * 19 18 16 41 41 H 1.09002 * 109.47152 * 269.72587 * 21 20 19 42 42 H 1.09001 * 109.46980 * 149.72687 * 21 20 19 43 43 H 1.09004 * 109.47113 * 29.72668 * 21 20 19 44 44 H 0.96695 * 114.00424 * 89.99834 * 23 22 20 45 45 H 1.08999 * 109.47437 * 44.99956 * 25 24 22 46 46 H 0.96701 * 114.00335 * 179.97438 * 26 25 24 47 47 H 1.48493 * 110.00050 * 59.99829 * 27 25 24 48 48 H 1.48500 * 109.99925 * 181.31989 * 27 25 24 49 49 H 1.08000 * 120.04450 * 179.97438 * 28 24 22 50 50 H 1.09002 * 113.61281 * 105.38697 * 29 10 9 51 51 H 1.09004 * 113.61558 * 334.48627 * 29 10 9 52 52 H 1.08005 * 120.06925 * 180.23085 * 30 9 8 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 8 1.4520 0.0000 0.0000 3 6 2.0636 1.2002 0.0000 4 8 1.4020 2.2190 0.0005 5 6 3.5388 1.2775 -0.0006 6 6 4.3022 0.1088 -0.0006 7 6 5.6796 0.1882 -0.0006 8 6 6.3044 1.4226 -0.0059 9 6 5.5538 2.5852 -0.0007 10 6 6.2432 3.9252 -0.0012 11 1 5.5607 4.7524 0.1936 12 6 7.5188 3.9640 0.8568 13 6 8.1484 4.8158 -0.2582 14 1 9.1889 4.5661 -0.4655 15 7 7.9310 6.2549 -0.0910 16 6 8.9528 7.0522 0.2790 17 8 10.0549 6.5772 0.4736 18 6 8.7340 8.5023 0.4470 19 6 7.4671 9.0494 0.2284 20 6 7.2683 10.4036 0.3808 21 6 5.9038 10.9958 0.1390 22 6 8.3231 11.2240 0.7629 23 8 8.1219 12.5571 0.9174 24 6 9.5838 10.6826 0.9867 25 6 10.7241 11.5769 1.4002 26 8 11.1756 12.3263 0.2704 27 14 12.1238 10.5359 2.0545 28 6 9.7920 9.3306 0.8310 29 6 7.1515 4.1501 -1.2216 30 6 4.1760 2.5202 -0.0006 31 1 -0.3633 0.5138 0.8900 32 1 -0.3633 0.5138 -0.8899 33 1 -0.3633 -1.0277 0.0005 34 1 3.8157 -0.8555 0.0003 35 1 6.2714 -0.7152 -0.0010 36 1 7.3829 1.4791 -0.0101 37 1 7.9912 2.9896 0.9812 38 1 7.3957 4.4993 1.7983 39 1 7.0518 6.6340 -0.2465 40 1 6.6459 8.4119 -0.0642 41 1 5.8153 11.2893 -0.9070 42 1 5.7698 11.8711 0.7746 43 1 5.1394 10.2553 0.3745 44 1 7.8569 12.8140 1.8111 45 1 10.3856 12.2610 2.1783 46 1 11.9100 12.9251 0.4635 47 1 12.5944 9.5988 1.0032 48 1 13.2421 11.4079 2.4953 49 1 10.7718 8.9108 1.0047 50 1 6.7317 4.8355 -1.9578 51 1 7.5234 3.2265 -1.6652 52 1 3.5914 3.4283 -0.0003 There are 73 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 73 No. of singly occupied orbitals= 1 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=0 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 s_22_15508394_13287732.mol2 52 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 9 2021 20:20:34 Heat of formation + Delta-G solvation = -107.605663 kcal Electronic energy + Delta-G solvation = -35938.056857 eV Core-core repulsion = 31028.483397 eV Total energy + Delta-G solvation = -4909.573460 eV No. of doubly occupied orbitals = 73 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 398.165 amu Computer time = 1.11 seconds Orbital eigenvalues (eV) -41.95940 -41.57484 -41.08524 -40.06736 -38.79971 -37.85115 -37.49080 -37.37823 -34.81548 -34.07830 -32.53694 -32.31943 -31.43293 -28.74017 -28.09656 -26.99036 -26.85821 -26.41319 -25.24888 -24.52540 -22.95455 -22.10726 -21.86199 -21.50768 -20.27496 -19.55189 -18.88929 -18.54961 -18.46518 -18.14479 -17.69213 -17.32475 -17.11946 -16.87465 -16.64085 -16.29494 -16.10187 -16.02895 -15.75532 -15.47110 -15.15725 -14.97294 -14.79445 -14.63927 -14.60273 -14.42038 -14.32938 -14.03684 -13.95473 -13.67935 -13.63138 -13.51771 -13.22278 -13.17216 -13.05257 -12.96343 -12.94790 -12.73298 -12.57917 -11.95305 -11.85184 -11.78816 -11.76935 -11.63489 -11.51229 -11.30107 -10.98747 -10.47945 -10.18991 -10.10566 -9.97640 -9.81722 -9.65091 -4.96495 -0.36892 -0.36522 0.07786 0.23697 1.23730 1.51403 1.58940 1.66226 1.66860 1.96609 1.98540 2.57126 2.65309 3.01304 3.27927 3.30795 3.49106 3.52126 3.59139 3.61105 3.63332 3.71301 3.76463 3.84320 3.94754 4.00369 4.03113 4.11102 4.14893 4.19763 4.24341 4.27689 4.33685 4.35605 4.53257 4.54248 4.55460 4.59289 4.62414 4.63982 4.70000 4.74268 4.82550 4.88100 4.90637 4.98920 4.99696 5.09816 5.11710 5.20430 5.22408 5.27064 5.35657 5.42091 5.50826 5.55935 5.74509 6.39246 6.43830 6.55721 6.72563 7.14988 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.036 3.964 2 O -0.355 6.355 3 C 0.508 3.492 4 O -0.505 6.505 5 C -0.125 4.125 6 C -0.065 4.065 7 C -0.128 4.128 8 C -0.079 4.079 9 C -0.082 4.082 10 C -0.074 4.074 11 H 0.100 0.900 12 C -0.143 4.143 13 C 0.120 3.880 14 H 0.109 0.891 15 N -0.710 5.710 16 C 0.565 3.435 17 O -0.529 6.529 18 C -0.139 4.139 19 C -0.065 4.065 20 C -0.118 4.118 21 C -0.110 4.110 22 C 0.161 3.839 23 O -0.484 6.484 24 C -0.104 4.104 25 C -0.063 4.063 26 O -0.528 6.528 27 Si 0.677 3.323 28 C -0.047 4.047 29 C -0.136 4.136 30 C -0.050 4.050 31 H 0.065 0.935 32 H 0.065 0.935 33 H 0.105 0.895 34 H 0.138 0.862 35 H 0.134 0.866 36 H 0.132 0.868 37 H 0.097 0.903 38 H 0.078 0.922 39 H 0.401 0.599 40 H 0.132 0.868 41 H 0.076 0.924 42 H 0.071 0.929 43 H 0.070 0.930 44 H 0.392 0.608 45 H 0.075 0.925 46 H 0.379 0.621 47 H -0.250 1.250 48 H -0.257 1.257 49 H 0.145 0.855 50 H 0.079 0.921 51 H 0.100 0.900 52 H 0.137 0.863 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.850 -1.626 3.054 4.483 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 -0.057 4.057 2 O -0.272 6.272 3 C 0.353 3.647 4 O -0.394 6.394 5 C -0.126 4.126 6 C -0.083 4.083 7 C -0.146 4.146 8 C -0.097 4.097 9 C -0.082 4.082 10 C -0.092 4.092 11 H 0.118 0.882 12 C -0.182 4.182 13 C 0.014 3.986 14 H 0.127 0.873 15 N -0.362 5.362 16 C 0.353 3.647 17 O -0.406 6.406 18 C -0.142 4.142 19 C -0.084 4.084 20 C -0.118 4.118 21 C -0.166 4.166 22 C 0.115 3.885 23 O -0.295 6.295 24 C -0.105 4.105 25 C -0.173 4.173 26 O -0.335 6.335 27 Si 0.578 3.422 28 C -0.065 4.065 29 C -0.174 4.174 30 C -0.069 4.069 31 H 0.084 0.916 32 H 0.084 0.916 33 H 0.123 0.877 34 H 0.156 0.844 35 H 0.152 0.848 36 H 0.150 0.850 37 H 0.115 0.885 38 H 0.096 0.904 39 H 0.237 0.763 40 H 0.150 0.850 41 H 0.094 0.906 42 H 0.090 0.910 43 H 0.089 0.911 44 H 0.250 0.750 45 H 0.093 0.907 46 H 0.227 0.773 47 H -0.174 1.174 48 H -0.182 1.182 49 H 0.163 0.837 50 H 0.097 0.903 51 H 0.119 0.881 52 H 0.154 0.846 Dipole moment (debyes) X Y Z Total from point charges -1.778 -2.222 2.220 3.609 hybrid contribution -0.599 1.229 -0.194 1.381 sum -2.377 -0.993 2.026 3.277 Atomic orbital electron populations 1.23340 0.75441 1.04109 1.02848 1.86534 1.23969 1.32478 1.84183 1.21240 0.89175 0.81576 0.72733 1.90851 1.66810 1.36049 1.45655 1.19082 0.88980 0.95063 1.09496 1.21508 0.94039 0.97997 0.94748 1.21198 0.94324 0.98200 1.00894 1.21352 1.00550 0.91811 0.96013 1.19612 0.92652 0.95071 1.00895 1.21622 0.95661 0.94323 0.97633 0.88162 1.23586 0.95200 1.01087 0.98302 1.21863 1.00909 0.79399 0.96387 0.87332 1.45564 1.12832 1.07411 1.70350 1.18117 0.84247 0.85904 0.76397 1.90814 1.23831 1.75999 1.49951 1.19753 0.94569 0.93178 1.06743 1.21084 0.95863 0.94391 0.97058 1.20181 0.96455 0.93147 1.02063 1.20695 0.91713 1.01223 1.02994 1.18311 0.91014 0.83071 0.96064 1.84814 1.90470 1.18730 1.35437 1.19545 0.94234 0.93225 1.03499 1.24564 1.01866 0.98813 0.92018 1.86637 1.54644 1.58420 1.33849 0.95089 0.78336 0.81704 0.87083 1.21085 0.99277 0.91759 0.94389 1.23458 0.95970 1.01733 0.96270 1.21154 0.93969 0.96773 0.94959 0.91628 0.91626 0.87674 0.84368 0.84805 0.85025 0.88461 0.90370 0.76333 0.84998 0.90578 0.90981 0.91135 0.75012 0.90712 0.77265 1.17432 1.18210 0.83729 0.90272 0.88131 0.84553 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 0.04 -0.02 10.56 101.05 1.07 1.05 16 2 O -0.36 -0.63 9.82 -40.52 -0.40 -1.03 16 3 C 0.51 1.55 7.90 34.61 0.27 1.83 16 4 O -0.50 -2.76 16.14 -19.24 -0.31 -3.07 16 5 C -0.13 -0.18 5.87 -104.99 -0.62 -0.79 16 6 C -0.06 0.02 9.62 -39.17 -0.38 -0.36 16 7 C -0.13 0.19 10.03 -39.64 -0.40 -0.21 16 8 C -0.08 0.13 8.59 -39.49 -0.34 -0.20 16 9 C -0.08 0.09 5.28 -104.68 -0.55 -0.47 16 10 C -0.07 0.19 3.85 -90.96 -0.35 -0.16 16 11 H 0.10 -0.32 8.09 -51.93 -0.42 -0.74 16 12 C -0.14 0.30 7.25 -25.92 -0.19 0.11 16 13 C 0.12 -0.16 4.32 -67.11 -0.29 -0.45 16 14 H 0.11 0.03 7.46 -51.93 -0.39 -0.35 16 15 N -0.71 0.70 5.21 -54.03 -0.28 0.42 16 16 C 0.57 1.24 7.76 -12.44 -0.10 1.14 16 17 O -0.53 -3.08 15.94 5.29 0.08 -2.99 16 18 C -0.14 -0.19 5.87 -104.96 -0.62 -0.81 16 19 C -0.07 0.05 9.18 -39.22 -0.36 -0.31 16 20 C -0.12 0.02 5.89 -104.54 -0.62 -0.60 16 21 C -0.11 0.21 9.79 36.01 0.35 0.56 16 22 C 0.16 0.17 6.66 -39.02 -0.26 -0.09 16 23 O -0.48 -0.07 11.84 -18.83 -0.22 -0.30 16 24 C -0.10 -0.17 5.30 -104.54 -0.55 -0.73 16 25 C -0.06 -0.03 2.36 36.00 0.09 0.05 16 26 O -0.53 -1.23 12.86 -35.23 -0.45 -1.68 16 27 Si 0.68 0.13 30.19 -169.99 -5.13 -5.00 16 28 C -0.05 -0.11 8.20 -39.22 -0.32 -0.43 16 29 C -0.14 0.38 7.29 -25.92 -0.19 0.19 16 30 C -0.05 -0.03 9.25 -39.17 -0.36 -0.39 16 31 H 0.06 -0.03 8.14 -51.93 -0.42 -0.46 16 32 H 0.06 -0.03 8.14 -51.93 -0.42 -0.46 16 33 H 0.10 -0.33 8.14 -51.93 -0.42 -0.75 16 34 H 0.14 -0.19 7.61 -52.49 -0.40 -0.59 16 35 H 0.13 -0.46 8.06 -52.49 -0.42 -0.88 16 36 H 0.13 -0.46 6.67 -52.48 -0.35 -0.81 16 37 H 0.10 -0.26 6.33 -51.93 -0.33 -0.59 16 38 H 0.08 -0.10 8.14 -51.93 -0.42 -0.52 16 39 H 0.40 -1.39 6.72 -40.82 -0.27 -1.66 16 40 H 0.13 -0.49 6.39 -52.49 -0.34 -0.83 16 41 H 0.08 -0.11 8.14 -51.93 -0.42 -0.53 16 42 H 0.07 -0.17 7.52 -51.93 -0.39 -0.56 16 43 H 0.07 -0.24 8.08 -51.93 -0.42 -0.66 16 44 H 0.39 -1.84 9.06 45.56 0.41 -1.42 16 45 H 0.07 -0.13 7.82 -51.93 -0.41 -0.54 16 46 H 0.38 -0.67 8.74 45.56 0.40 -0.28 16 47 H -0.25 -0.97 6.75 56.52 0.38 -0.59 16 48 H -0.26 -0.44 7.11 56.52 0.40 -0.04 16 49 H 0.15 0.41 4.47 -52.49 -0.23 0.18 16 50 H 0.08 -0.23 8.14 -51.93 -0.42 -0.66 16 51 H 0.10 -0.31 7.71 -51.93 -0.40 -0.71 16 52 H 0.14 0.06 7.65 -52.48 -0.40 -0.35 16 LS Contribution 433.92 15.07 6.54 6.54 Total: 0.00 -12.00 433.92 -11.00 -23.00 By element: Atomic # 1 Polarization: -8.68 SS G_CDS: -6.11 Total: -14.79 kcal Atomic # 6 Polarization: 3.63 SS G_CDS: -4.71 Total: -1.08 kcal Atomic # 7 Polarization: 0.70 SS G_CDS: -0.28 Total: 0.42 kcal Atomic # 8 Polarization: -7.78 SS G_CDS: -1.30 Total: -9.08 kcal Atomic # 14 Polarization: 0.13 SS G_CDS: -5.13 Total: -5.00 kcal Total LS contribution 6.54 Total: 6.54 kcal Total: -12.00 -11.00 -23.00 kcal The number of atoms in the molecule is 52 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. s_22_15508394_13287732.mol2 52 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 -84.607 kcal (2) G-P(sol) polarization free energy of solvation -12.001 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -96.608 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.997 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -22.999 kcal (6) G-S(sol) free energy of system = (1) + (5) -107.606 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.11 seconds