Wall clock time and date at job start Wed Apr 1 2020 00:28:34 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= -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 O 1.42895 * 1 3 3 C 1.42905 * 113.99925 * 2 1 4 4 C 1.53001 * 109.47469 * 179.97438 * 3 2 1 5 5 C 1.50702 * 109.61195 * 65.86026 * 4 3 2 6 6 O 1.21275 * 120.00184 * 238.86741 * 5 4 3 7 7 N 1.34775 * 119.99763 * 58.87134 * 5 4 3 8 8 C 1.46928 * 120.63110 * 5.07963 * 7 5 4 9 9 C 1.53189 * 108.77433 * 233.58706 * 8 7 5 10 10 C 1.53050 * 109.31186 * 305.36168 * 9 8 7 11 11 H 1.08994 * 109.45823 * 181.38504 * 10 9 8 12 12 N 1.46499 * 109.46000 * 301.36356 * 10 9 8 13 13 C 1.36944 * 119.99519 * 274.99631 * 12 10 9 14 14 H 1.07995 * 120.00188 * 0.02562 * 13 12 10 15 15 C 1.38812 * 119.99775 * 180.02562 * 13 12 10 16 16 N 1.31614 * 119.99923 * 180.02562 * 15 13 12 17 17 Si 1.86803 * 119.99952 * 0.02562 * 15 13 12 18 18 H 1.48499 * 109.47096 * 89.99990 * 17 15 13 19 19 H 1.48506 * 109.47007 * 210.00088 * 17 15 13 20 20 H 1.48496 * 109.47075 * 329.99600 * 17 15 13 21 21 C 1.53036 * 109.53249 * 61.36801 * 10 9 8 22 22 H 1.09001 * 109.50172 * 58.62066 * 21 10 9 23 23 C 1.52999 * 109.49453 * 178.68372 * 21 10 9 24 24 C 1.46930 * 120.62984 * 184.79623 * 7 5 4 25 25 C 1.53180 * 109.54193 * 305.64475 * 4 3 2 26 26 C 1.53089 * 109.16441 * 183.14993 * 25 4 3 27 27 O 1.42902 * 109.41725 * 57.60525 * 26 25 4 28 28 C 1.42903 * 114.09896 * 298.84975 * 27 26 25 29 29 C 1.53087 * 109.41733 * 61.15061 * 28 27 26 30 30 H 1.09000 * 109.47303 * 179.97438 * 1 2 3 31 31 H 1.09005 * 109.47226 * 299.99641 * 1 2 3 32 32 H 1.08994 * 109.47336 * 59.99662 * 1 2 3 33 33 H 1.09007 * 109.46631 * 60.00501 * 3 2 1 34 34 H 1.08996 * 109.47231 * 300.00324 * 3 2 1 35 35 H 1.09001 * 109.58245 * 353.37176 * 8 7 5 36 36 H 1.09006 * 109.58781 * 113.79858 * 8 7 5 37 37 H 1.08994 * 109.50115 * 65.31179 * 9 8 7 38 38 H 1.09000 * 109.49907 * 185.41654 * 9 8 7 39 39 H 0.96995 * 120.00421 * 94.99463 * 12 10 9 40 40 H 0.97003 * 119.99759 * 180.02562 * 16 15 13 41 41 H 1.09001 * 109.47410 * 59.99438 * 23 21 10 42 42 H 1.09001 * 109.47533 * 180.02562 * 23 21 10 43 43 H 1.09000 * 109.47280 * 299.99789 * 23 21 10 44 44 H 1.08997 * 109.58462 * 246.19939 * 24 7 5 45 45 H 1.08998 * 109.58568 * 6.63219 * 24 7 5 46 46 H 1.09004 * 109.52392 * 303.05437 * 25 4 3 47 47 H 1.08998 * 109.52517 * 63.24466 * 25 4 3 48 48 H 1.09006 * 109.47980 * 297.62724 * 26 25 4 49 49 H 1.08994 * 109.48290 * 177.58899 * 26 25 4 50 50 H 1.09003 * 109.47696 * 301.16720 * 28 27 26 51 51 H 1.09001 * 109.48213 * 181.13891 * 28 27 26 52 52 H 1.09003 * 109.52193 * 182.48999 * 29 28 27 53 53 H 1.08999 * 109.52349 * 62.29815 * 29 28 27 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 1.4290 0.0000 0.0000 3 6 2.0102 1.3055 0.0000 4 6 3.5354 1.1848 0.0006 5 6 3.9944 0.5659 -1.2945 6 8 4.6300 -0.4669 -1.2814 7 7 3.6986 1.1603 -2.4674 8 6 3.0271 2.4668 -2.4962 9 6 1.7772 2.3595 -3.3753 10 6 2.1725 1.8254 -4.7541 11 1 1.2886 1.7713 -5.3895 12 7 3.1565 2.7244 -5.3620 13 6 2.7384 3.8292 -6.0548 14 1 1.6833 4.0379 -6.1527 15 6 3.6707 4.6808 -6.6313 16 7 3.2689 5.7428 -7.2968 17 14 5.4957 4.3195 -6.4626 18 1 5.9390 3.4697 -7.5969 19 1 6.2559 5.5951 -6.4730 20 1 5.7429 3.6065 -5.1837 21 6 2.7807 0.4289 -4.6067 22 1 2.0578 -0.2347 -4.1323 23 6 3.1454 -0.1176 -5.9885 24 6 4.0471 0.5169 -3.7415 25 6 3.9794 0.3060 1.1741 26 6 5.5089 0.2552 1.2134 27 8 6.0256 1.5828 1.3255 28 6 5.6821 2.4368 0.2325 29 6 4.1595 2.5752 0.1538 30 1 -0.3634 -1.0276 -0.0005 31 1 -0.3634 0.5138 0.8900 32 1 -0.3634 0.5138 -0.8899 33 1 1.6885 1.8463 0.8901 34 1 1.6885 1.8464 -0.8899 35 1 2.7389 2.7518 -1.4844 36 1 3.7022 3.2156 -2.9107 37 1 1.0639 1.6779 -2.9120 38 1 1.3227 3.3443 -3.4833 39 1 4.1041 2.5373 -5.2737 40 1 3.9205 6.3377 -7.7000 41 1 3.8692 0.5457 -6.4621 42 1 3.5782 -1.1124 -5.8832 43 1 2.2482 -0.1755 -6.6047 44 1 4.8036 1.1099 -4.2554 45 1 4.4320 -0.4851 -3.5516 46 1 3.6048 0.7274 2.1070 47 1 3.5847 -0.7017 1.0442 48 1 5.8811 -0.2035 0.2973 49 1 5.8311 -0.3339 2.0720 50 1 6.0565 2.0067 -0.6965 51 1 6.1290 3.4193 0.3844 52 1 3.8936 3.1904 -0.7059 53 1 3.7886 3.0425 1.0660 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 ZINC001319689152.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 00:28:34 Heat of formation + Delta-G solvation = -93.236982 kcal Electronic energy + Delta-G solvation = -33772.469180 eV Core-core repulsion = 29645.463862 eV Total energy + Delta-G solvation = -4127.005318 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.11 seconds Orbital eigenvalues (eV) -41.41988 -38.95881 -37.88005 -37.49903 -35.00574 -34.06423 -32.78171 -31.57988 -31.11971 -29.84823 -28.44302 -26.80571 -25.98086 -25.55804 -23.81782 -23.22576 -22.98158 -21.73744 -21.63284 -19.24590 -18.33048 -17.83470 -16.98155 -16.69462 -16.41396 -16.08924 -15.83948 -15.55550 -15.32313 -14.75664 -14.72032 -14.62092 -14.14788 -14.04668 -13.77369 -13.69716 -13.58081 -13.04832 -12.70730 -12.67040 -12.52995 -12.25922 -12.11311 -12.09170 -11.71121 -11.69101 -11.54120 -11.49799 -11.22757 -11.04059 -11.02814 -10.79839 -10.65731 -10.59468 -10.39327 -10.26970 -9.95090 -9.89233 -9.61416 -9.51784 -9.25658 -9.00359 -8.37142 -7.34534 -5.84721 -3.20179 2.69819 3.09350 3.28801 3.32595 3.39567 3.44526 3.83731 4.22478 4.50919 4.53589 4.58912 4.73445 4.85924 4.95841 5.05719 5.06232 5.09899 5.13074 5.17301 5.22629 5.24778 5.25723 5.38325 5.46014 5.48102 5.50474 5.52678 5.55509 5.58878 5.62603 5.71684 5.75923 5.78882 5.87105 5.89379 6.02436 6.02770 6.10608 6.15276 6.22824 6.34451 6.42945 6.49407 6.60338 6.70059 6.83201 6.90634 7.14694 7.57629 7.91488 8.28170 8.34401 9.12547 9.85215 10.05053 11.33625 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.012575 B = 0.004413 C = 0.003927 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2226.154271 B = 6343.042494 C = 7128.165019 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.032 3.968 2 O -0.382 6.382 3 C 0.058 3.942 4 C -0.075 4.075 5 C 0.533 3.467 6 O -0.543 6.543 7 N -0.601 5.601 8 C 0.091 3.909 9 C -0.151 4.151 10 C 0.186 3.814 11 H 0.060 0.940 12 N -0.743 5.743 13 C -0.242 4.242 14 H 0.090 0.910 15 C 0.008 3.992 16 N -0.932 5.932 17 Si 0.877 3.123 18 H -0.284 1.284 19 H -0.291 1.291 20 H -0.279 1.279 21 C -0.111 4.111 22 H 0.071 0.929 23 C -0.138 4.138 24 C 0.119 3.881 25 C -0.120 4.120 26 C 0.047 3.953 27 O -0.385 6.385 28 C 0.063 3.937 29 C -0.164 4.164 30 H 0.085 0.915 31 H 0.040 0.960 32 H 0.043 0.957 33 H 0.058 0.942 34 H 0.075 0.925 35 H 0.090 0.910 36 H 0.082 0.918 37 H 0.051 0.949 38 H 0.079 0.921 39 H 0.360 0.640 40 H 0.259 0.741 41 H 0.064 0.936 42 H 0.046 0.954 43 H 0.058 0.942 44 H 0.065 0.935 45 H 0.086 0.914 46 H 0.072 0.928 47 H 0.088 0.912 48 H 0.077 0.923 49 H 0.090 0.910 50 H 0.050 0.950 51 H 0.099 0.901 52 H 0.098 0.902 53 H 0.086 0.914 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.839 -9.826 16.632 19.526 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 -0.065 4.065 2 O -0.301 6.301 3 C -0.019 4.019 4 C -0.078 4.078 5 C 0.320 3.680 6 O -0.421 6.421 7 N -0.332 5.332 8 C -0.031 4.031 9 C -0.192 4.192 10 C 0.076 3.924 11 H 0.078 0.922 12 N -0.387 5.387 13 C -0.372 4.372 14 H 0.108 0.892 15 C -0.188 4.188 16 N -0.580 5.580 17 Si 0.708 3.292 18 H -0.210 1.210 19 H -0.217 1.217 20 H -0.205 1.205 21 C -0.131 4.131 22 H 0.090 0.910 23 C -0.196 4.196 24 C -0.003 4.003 25 C -0.158 4.158 26 C -0.029 4.029 27 O -0.304 6.304 28 C -0.014 4.014 29 C -0.201 4.201 30 H 0.104 0.896 31 H 0.059 0.941 32 H 0.062 0.938 33 H 0.076 0.924 34 H 0.092 0.908 35 H 0.108 0.892 36 H 0.100 0.900 37 H 0.070 0.930 38 H 0.098 0.902 39 H 0.194 0.806 40 H 0.070 0.930 41 H 0.083 0.917 42 H 0.065 0.935 43 H 0.077 0.923 44 H 0.084 0.916 45 H 0.105 0.895 46 H 0.090 0.910 47 H 0.106 0.894 48 H 0.095 0.905 49 H 0.108 0.892 50 H 0.069 0.931 51 H 0.117 0.883 52 H 0.116 0.884 53 H 0.104 0.896 Dipole moment (debyes) X Y Z Total from point charges -2.410 -10.289 16.651 19.721 hybrid contribution 0.759 0.212 -0.252 0.827 sum -1.651 -10.077 16.398 19.318 Atomic orbital electron populations 1.22744 0.80857 1.02819 1.00058 1.87920 1.19693 1.27028 1.95413 1.22953 0.91251 0.85776 1.01898 1.20840 0.94915 0.97313 0.94717 1.20143 0.79006 0.84190 0.84625 1.90590 1.40357 1.24283 1.86836 1.48055 1.58667 1.20944 1.05567 1.22336 0.95766 0.84368 1.00601 1.22550 0.95982 1.02288 0.98412 1.20152 0.92987 0.87588 0.91644 0.92198 1.42843 1.03386 1.28122 1.64316 1.19045 0.94445 0.98855 1.24819 0.89187 1.24625 0.97009 0.97125 1.00007 1.69686 1.32995 1.15384 1.39929 0.86682 0.87445 0.77306 0.77768 1.21037 1.21734 1.20526 1.21823 0.97073 0.98177 0.95995 0.91023 1.21675 1.02254 0.99792 0.95874 1.21719 0.97017 0.98681 0.82919 1.21895 0.97066 1.00978 0.95820 1.22882 0.92756 0.83739 1.03498 1.87885 1.75195 1.22647 1.44657 1.22510 0.93255 0.95262 0.90395 1.22700 0.97616 0.94940 1.04850 0.89609 0.94135 0.93798 0.92352 0.90765 0.89213 0.90001 0.93018 0.90196 0.80577 0.93041 0.91730 0.93517 0.92326 0.91632 0.89530 0.90971 0.89371 0.90458 0.89206 0.93131 0.88297 0.88388 0.89560 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 0.03 0.28 11.01 101.05 1.11 1.39 16 2 O -0.38 -4.63 9.65 -35.23 -0.34 -4.97 16 3 C 0.06 0.63 4.47 37.16 0.17 0.80 16 4 C -0.07 -0.91 0.34 -155.48 -0.05 -0.96 16 5 C 0.53 8.04 4.96 -10.99 -0.05 7.99 16 6 O -0.54 -9.62 13.24 5.56 0.07 -9.55 16 7 N -0.60 -8.98 2.96 -172.50 -0.51 -9.49 16 8 C 0.09 1.29 3.84 -3.71 -0.01 1.27 16 9 C -0.15 -2.25 5.45 -26.61 -0.15 -2.40 16 10 C 0.19 3.19 2.53 -67.89 -0.17 3.02 16 11 H 0.06 1.09 8.08 -51.93 -0.42 0.67 16 12 N -0.74 -15.61 3.44 -53.38 -0.18 -15.80 16 13 C -0.24 -6.23 10.41 -15.06 -0.16 -6.38 16 14 H 0.09 2.51 8.06 -52.49 -0.42 2.08 16 15 C 0.01 0.23 5.50 -17.43 -0.10 0.13 16 16 N -0.93 -27.97 13.97 55.49 0.78 -27.20 16 17 Si 0.88 21.15 27.74 -169.99 -4.71 16.43 16 18 H -0.28 -6.89 7.11 56.52 0.40 -6.48 16 19 H -0.29 -7.20 7.11 56.52 0.40 -6.80 16 20 H -0.28 -6.31 6.52 56.52 0.37 -5.94 16 21 C -0.11 -1.67 2.69 -90.28 -0.24 -1.92 16 22 H 0.07 1.04 8.14 -51.93 -0.42 0.61 16 23 C -0.14 -2.04 9.05 37.16 0.34 -1.70 16 24 C 0.12 1.87 5.43 -3.48 -0.02 1.86 16 25 C -0.12 -1.44 4.30 -26.59 -0.11 -1.55 16 26 C 0.05 0.60 6.55 37.20 0.24 0.85 16 27 O -0.39 -5.16 10.77 -35.23 -0.38 -5.54 16 28 C 0.06 0.76 6.62 37.20 0.25 1.01 16 29 C -0.16 -1.77 4.57 -26.60 -0.12 -1.90 16 30 H 0.09 0.67 8.14 -51.93 -0.42 0.25 16 31 H 0.04 0.30 8.14 -51.93 -0.42 -0.13 16 32 H 0.04 0.38 8.14 -51.93 -0.42 -0.05 16 33 H 0.06 0.53 8.14 -51.93 -0.42 0.10 16 34 H 0.07 0.81 4.03 -51.93 -0.21 0.60 16 35 H 0.09 1.05 2.62 -51.93 -0.14 0.92 16 36 H 0.08 1.34 7.74 -51.93 -0.40 0.94 16 37 H 0.05 0.68 7.54 -51.93 -0.39 0.29 16 38 H 0.08 1.27 8.14 -51.93 -0.42 0.85 16 39 H 0.36 7.67 3.77 -40.82 -0.15 7.52 16 40 H 0.26 7.49 8.31 -40.82 -0.34 7.15 16 41 H 0.06 1.07 7.54 -51.93 -0.39 0.68 16 42 H 0.05 0.60 8.14 -51.93 -0.42 0.18 16 43 H 0.06 0.84 8.14 -51.93 -0.42 0.42 16 44 H 0.07 1.11 6.63 -51.93 -0.34 0.77 16 45 H 0.09 1.39 7.03 -51.93 -0.37 1.02 16 46 H 0.07 0.76 8.14 -51.93 -0.42 0.34 16 47 H 0.09 1.16 7.56 -51.93 -0.39 0.77 16 48 H 0.08 1.15 5.77 -51.93 -0.30 0.86 16 49 H 0.09 0.97 8.14 -51.93 -0.42 0.55 16 50 H 0.05 0.70 7.38 -51.93 -0.38 0.32 16 51 H 0.10 1.02 8.14 -51.93 -0.42 0.60 16 52 H 0.10 1.04 4.64 -51.93 -0.24 0.80 16 53 H 0.09 0.79 8.14 -51.93 -0.42 0.37 16 LS Contribution 384.63 15.07 5.80 5.80 Total: -1.00 -31.18 384.63 -7.36 -38.55 By element: Atomic # 1 Polarization: 19.04 SS G_CDS: -8.79 Total: 10.25 kcal Atomic # 6 Polarization: 0.60 SS G_CDS: 0.92 Total: 1.51 kcal Atomic # 7 Polarization: -52.56 SS G_CDS: 0.08 Total: -52.48 kcal Atomic # 8 Polarization: -19.41 SS G_CDS: -0.65 Total: -20.06 kcal Atomic # 14 Polarization: 21.15 SS G_CDS: -4.71 Total: 16.43 kcal Total LS contribution 5.80 Total: 5.80 kcal Total: -31.18 -7.36 -38.55 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. ZINC001319689152.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 -54.692 kcal (2) G-P(sol) polarization free energy of solvation -31.184 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -85.876 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.361 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.545 kcal (6) G-S(sol) free energy of system = (1) + (5) -93.237 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.11 seconds