Wall clock time and date at job start Sat Apr 11 2020 06:10:11 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 1.45204 * 1 3 3 C 1.34224 * 117.00262 * 2 1 4 4 O 1.20827 * 119.99854 * 359.97438 * 3 2 1 5 5 C 1.50702 * 120.00088 * 179.97438 * 3 2 1 6 6 H 1.08998 * 109.46887 * 60.00086 * 5 3 2 7 7 C 1.52998 * 109.46906 * 300.00029 * 5 3 2 8 8 C 1.53007 * 109.46819 * 176.59167 * 7 5 3 9 9 C 1.53001 * 109.47049 * 175.20247 * 8 7 5 10 10 C 1.53005 * 109.46618 * 295.19660 * 8 7 5 11 11 N 1.46503 * 109.47030 * 180.02562 * 5 3 2 12 12 C 1.34776 * 120.00072 * 274.99905 * 11 5 3 13 13 O 1.21290 * 119.99744 * 0.02562 * 12 11 5 14 14 C 1.50697 * 120.00553 * 180.02562 * 12 11 5 15 15 N 1.46494 * 109.47459 * 179.97438 * 14 12 11 16 16 C 1.36935 * 120.00501 * 269.99697 * 15 14 12 17 17 H 1.07997 * 120.00030 * 189.82349 * 16 15 14 18 18 C 1.38815 * 119.99609 * 9.83031 * 16 15 14 19 19 N 1.31619 * 119.99863 * 25.84997 * 18 16 15 20 20 Si 1.86794 * 119.99937 * 205.85175 * 18 16 15 21 21 H 1.48504 * 109.47199 * 89.99841 * 20 18 16 22 22 H 1.48496 * 109.47392 * 210.00037 * 20 18 16 23 23 H 1.48504 * 109.47169 * 330.00160 * 20 18 16 24 24 C 1.46506 * 119.99651 * 90.00245 * 15 14 12 25 25 C 1.54266 * 110.03251 * 116.29456 * 24 15 14 26 26 C 1.54966 * 104.16202 * 95.75438 * 25 24 15 27 27 C 1.54890 * 102.77573 * 37.88495 * 26 25 24 28 28 C 1.53873 * 110.02852 * 233.51218 * 24 15 14 29 29 H 1.09005 * 109.46590 * 300.00315 * 1 2 3 30 30 H 1.09004 * 109.46874 * 59.99653 * 1 2 3 31 31 H 1.08996 * 109.47196 * 179.97438 * 1 2 3 32 32 H 1.09005 * 109.47332 * 296.58574 * 7 5 3 33 33 H 1.08992 * 109.47317 * 56.58872 * 7 5 3 34 34 H 1.08994 * 109.47383 * 55.19418 * 8 7 5 35 35 H 1.08994 * 109.47318 * 64.04460 * 9 8 7 36 36 H 1.08997 * 109.47187 * 184.05224 * 9 8 7 37 37 H 1.09005 * 109.46669 * 304.04892 * 9 8 7 38 38 H 1.08994 * 109.47053 * 60.00518 * 10 8 7 39 39 H 1.09007 * 109.46594 * 180.02562 * 10 8 7 40 40 H 1.09002 * 109.47350 * 299.99915 * 10 8 7 41 41 H 0.97000 * 120.00056 * 95.00511 * 11 5 3 42 42 H 1.08999 * 109.46918 * 59.99637 * 14 12 11 43 43 H 1.09000 * 109.46917 * 300.00267 * 14 12 11 44 44 H 0.97001 * 119.99813 * 185.01338 * 19 18 16 45 45 H 1.09004 * 110.02025 * 354.90016 * 24 15 14 46 46 H 1.09006 * 110.48308 * 214.39943 * 25 24 15 47 47 H 1.08999 * 110.48714 * 337.03719 * 25 24 15 48 48 H 1.08996 * 110.71574 * 279.57542 * 26 25 24 49 49 H 1.08991 * 110.92385 * 156.29527 * 26 25 24 50 50 H 1.09001 * 110.48389 * 203.40848 * 27 26 25 51 51 H 1.08996 * 110.59954 * 80.82272 * 27 26 25 52 52 H 1.08994 * 110.03510 * 359.94704 * 28 24 15 53 53 H 1.09000 * 110.03321 * 121.38696 * 28 24 15 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 2.0615 1.1959 0.0000 4 8 1.4034 2.2093 -0.0005 5 6 3.5664 1.2747 0.0006 6 1 3.9564 0.7805 -0.8892 7 6 4.1129 0.5814 1.2502 8 6 5.6424 0.5867 1.2086 9 6 6.1900 0.0015 2.5119 10 6 6.1233 -0.2593 0.0280 11 7 3.9818 2.6796 0.0011 12 6 4.0758 3.3550 -1.1615 13 8 3.8160 2.7998 -2.2080 14 6 4.5037 4.8000 -1.1611 15 7 4.5277 5.3025 -2.5370 16 6 5.6717 5.2021 -3.2828 17 1 5.7428 5.7096 -4.2335 18 6 6.7399 4.4480 -2.8169 19 7 6.5285 3.4541 -1.9802 20 14 8.4773 4.8436 -3.3773 21 1 9.0863 5.8264 -2.4454 22 1 9.2898 3.6007 -3.3861 23 1 8.4372 5.4185 -4.7460 24 6 3.3277 5.9127 -3.1149 25 6 3.5944 7.3966 -3.4416 26 6 3.9826 7.3907 -4.9418 27 6 3.0395 6.3149 -5.5354 28 6 2.9754 5.2250 -4.4456 29 1 -0.3633 0.5139 0.8900 30 1 -0.3633 0.5139 -0.8900 31 1 -0.3633 -1.0276 -0.0005 32 1 3.7718 1.1124 2.1389 33 1 3.7538 -0.4472 1.2814 34 1 5.9991 1.6099 1.0915 35 1 5.8928 -1.0439 2.5939 36 1 7.2777 0.0713 2.5127 37 1 5.7894 0.5605 3.3577 38 1 5.7332 0.1575 -0.9005 39 1 7.2130 -0.2559 -0.0014 40 1 5.7666 -1.2826 0.1450 41 1 4.1893 3.1238 0.8381 42 1 5.4998 4.8838 -0.7266 43 1 3.7996 5.3872 -0.5716 44 1 7.2796 2.9738 -1.5981 45 1 2.4934 5.8278 -2.4185 46 1 2.6937 7.9899 -3.2831 47 1 4.4157 7.7790 -2.8356 48 1 5.0260 7.1024 -5.0690 49 1 3.7939 8.3632 -5.3965 50 1 3.4564 5.9088 -6.4571 51 1 2.0488 6.7315 -5.7171 52 1 3.6978 4.4379 -4.6618 53 1 1.9703 4.8063 -4.3949 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 ZINC000151127545.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 06:10:11 Heat of formation + Delta-G solvation = -108.843319 kcal Electronic energy + Delta-G solvation = -32638.831743 eV Core-core repulsion = 28511.149684 eV Total energy + Delta-G solvation = -4127.682059 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.12 seconds Orbital eigenvalues (eV) -40.36137 -38.52069 -37.62780 -36.42373 -36.08751 -33.90810 -33.08350 -30.84574 -29.84432 -27.77433 -27.59463 -27.07033 -26.93286 -26.21415 -24.21468 -22.55306 -20.67629 -19.96196 -19.70471 -19.39511 -18.96651 -17.38533 -16.79128 -16.35983 -16.20061 -15.69576 -15.44506 -14.97403 -14.60754 -14.52026 -14.06075 -14.01695 -13.60840 -13.30629 -13.13120 -13.04848 -12.67234 -12.61358 -12.34730 -12.17347 -12.14875 -11.95678 -11.78888 -11.45374 -11.28570 -10.98996 -10.83889 -10.75571 -10.62678 -10.62292 -10.42848 -10.39806 -10.34136 -10.28300 -10.21592 -10.15992 -10.00039 -9.87220 -9.57792 -9.41107 -8.68098 -8.21296 -8.15397 -6.83331 -5.74118 -3.00026 2.53838 2.87262 3.43252 3.51978 3.52319 4.07918 4.40114 4.62881 4.77811 4.98661 5.07263 5.16214 5.23532 5.29011 5.33808 5.37051 5.44499 5.50564 5.57222 5.59716 5.61013 5.76831 5.79386 5.84963 5.92999 6.00607 6.08552 6.15665 6.19257 6.34188 6.36012 6.38050 6.40481 6.47021 6.57843 6.59083 6.61447 6.63012 6.70311 6.70566 6.81776 6.89678 6.96576 7.10551 7.24495 7.29889 7.46855 7.93735 8.07761 8.32580 8.62267 9.23458 9.75212 9.94735 10.36109 11.34608 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.010121 B = 0.004637 C = 0.003443 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2765.964411 B = 6037.158850 C = 8129.460361 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 -0.364 6.364 3 C 0.446 3.554 4 O -0.499 6.499 5 C 0.164 3.836 6 H 0.124 0.876 7 C -0.113 4.113 8 C -0.092 4.092 9 C -0.145 4.145 10 C -0.146 4.146 11 N -0.726 5.726 12 C 0.539 3.461 13 O -0.523 6.523 14 C 0.165 3.835 15 N -0.564 5.564 16 C -0.231 4.231 17 H 0.083 0.917 18 C -0.003 4.003 19 N -0.891 5.891 20 Si 0.890 3.110 21 H -0.292 1.292 22 H -0.296 1.296 23 H -0.283 1.283 24 C 0.174 3.826 25 C -0.132 4.132 26 C -0.120 4.120 27 C -0.121 4.121 28 C -0.129 4.129 29 H 0.058 0.942 30 H 0.060 0.940 31 H 0.096 0.904 32 H 0.067 0.933 33 H 0.081 0.919 34 H 0.085 0.915 35 H 0.051 0.949 36 H 0.054 0.946 37 H 0.051 0.949 38 H 0.067 0.933 39 H 0.052 0.948 40 H 0.046 0.954 41 H 0.391 0.609 42 H 0.099 0.901 43 H 0.037 0.963 44 H 0.249 0.751 45 H 0.048 0.952 46 H 0.047 0.953 47 H 0.069 0.931 48 H 0.074 0.926 49 H 0.046 0.954 50 H 0.052 0.948 51 H 0.049 0.951 52 H 0.085 0.915 53 H 0.041 0.959 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -6.307 -4.575 8.285 11.373 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 -0.059 4.059 2 O -0.281 6.281 3 C 0.286 3.714 4 O -0.385 6.385 5 C 0.055 3.945 6 H 0.141 0.859 7 C -0.151 4.151 8 C -0.111 4.111 9 C -0.202 4.202 10 C -0.203 4.203 11 N -0.382 5.382 12 C 0.325 3.675 13 O -0.395 6.395 14 C 0.034 3.966 15 N -0.283 5.283 16 C -0.360 4.360 17 H 0.100 0.900 18 C -0.200 4.200 19 N -0.537 5.537 20 Si 0.721 3.279 21 H -0.219 1.219 22 H -0.223 1.223 23 H -0.208 1.208 24 C 0.066 3.934 25 C -0.172 4.172 26 C -0.157 4.157 27 C -0.159 4.159 28 C -0.168 4.168 29 H 0.077 0.923 30 H 0.078 0.922 31 H 0.115 0.885 32 H 0.085 0.915 33 H 0.100 0.900 34 H 0.103 0.897 35 H 0.070 0.930 36 H 0.073 0.927 37 H 0.070 0.930 38 H 0.086 0.914 39 H 0.071 0.929 40 H 0.065 0.935 41 H 0.224 0.776 42 H 0.117 0.883 43 H 0.055 0.945 44 H 0.060 0.940 45 H 0.066 0.934 46 H 0.066 0.934 47 H 0.088 0.912 48 H 0.092 0.908 49 H 0.064 0.936 50 H 0.070 0.930 51 H 0.067 0.933 52 H 0.103 0.897 53 H 0.060 0.940 Dipole moment (debyes) X Y Z Total from point charges -6.606 -4.787 7.445 11.045 hybrid contribution 0.767 0.119 0.087 0.781 sum -5.839 -4.668 7.532 10.612 Atomic orbital electron populations 1.23167 0.77376 1.03068 1.02249 1.86525 1.22713 1.34304 1.84532 1.25085 0.93296 0.81135 0.71881 1.90622 1.66932 1.36437 1.44509 1.20313 0.84621 0.87347 1.02175 0.85895 1.21861 0.96658 1.00976 0.95582 1.21059 0.93397 1.01470 0.95131 1.21835 1.00866 1.00511 0.96996 1.21840 1.01051 0.98710 0.98746 1.46137 1.71865 1.09517 1.10652 1.22124 0.72941 0.90549 0.81838 1.90506 1.48261 1.69432 1.31338 1.20657 1.00601 0.88193 0.87163 1.44121 1.08422 1.66070 1.09649 1.19324 0.89507 1.23650 1.03525 0.89959 1.24600 0.98388 0.95999 1.01013 1.70001 1.28942 1.19029 1.35757 0.86440 0.86153 0.77143 0.78166 1.21939 1.22322 1.20850 1.20932 0.88342 0.90827 0.93260 1.22823 0.99855 0.98268 0.96227 1.22504 1.00296 0.96993 0.95922 1.22299 0.98219 0.97044 0.98310 1.22562 1.00510 0.98568 0.95156 0.92334 0.92167 0.88544 0.91473 0.90047 0.89683 0.93037 0.92715 0.93011 0.91399 0.92906 0.93465 0.77613 0.88320 0.94482 0.94033 0.93352 0.93401 0.91214 0.90780 0.93553 0.92964 0.93268 0.89675 0.94033 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 22. 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 0.42 10.56 101.05 1.07 1.48 16 2 O -0.36 -5.46 10.40 -39.24 -0.41 -5.87 16 3 C 0.45 7.79 7.29 36.01 0.26 8.05 16 4 O -0.50 -10.10 16.07 -18.75 -0.30 -10.40 16 5 C 0.16 2.73 2.33 -69.08 -0.16 2.57 16 6 H 0.12 2.35 5.84 -51.93 -0.30 2.04 16 7 C -0.11 -1.41 4.19 -26.73 -0.11 -1.52 16 8 C -0.09 -1.17 2.86 -90.61 -0.26 -1.43 16 9 C -0.14 -1.50 9.19 37.16 0.34 -1.16 16 10 C -0.15 -2.04 8.95 37.16 0.33 -1.71 16 11 N -0.73 -13.21 3.92 -54.93 -0.22 -13.42 16 12 C 0.54 12.22 5.68 -10.99 -0.06 12.16 16 13 O -0.52 -14.08 15.71 5.55 0.09 -13.99 16 14 C 0.16 3.69 5.39 -5.20 -0.03 3.66 16 15 N -0.56 -13.40 1.92 -165.75 -0.32 -13.72 16 16 C -0.23 -5.96 8.05 -15.06 -0.12 -6.08 16 17 H 0.08 2.13 5.38 -52.49 -0.28 1.85 16 18 C 0.00 -0.08 4.85 -17.43 -0.08 -0.17 16 19 N -0.89 -23.43 8.96 55.49 0.50 -22.93 16 20 Si 0.89 21.21 29.63 -169.99 -5.04 16.18 16 21 H -0.29 -6.94 7.11 56.52 0.40 -6.54 16 22 H -0.30 -7.30 7.11 56.52 0.40 -6.90 16 23 H -0.28 -6.77 7.11 56.52 0.40 -6.36 16 24 C 0.17 3.69 3.46 -66.81 -0.23 3.46 16 25 C -0.13 -2.43 6.19 -25.03 -0.16 -2.59 16 26 C -0.12 -2.12 6.45 -24.70 -0.16 -2.28 16 27 C -0.12 -2.15 6.83 -25.07 -0.17 -2.32 16 28 C -0.13 -2.72 6.21 -25.61 -0.16 -2.88 16 29 H 0.06 0.64 8.13 -51.93 -0.42 0.22 16 30 H 0.06 0.75 8.13 -51.93 -0.42 0.33 16 31 H 0.10 0.79 8.14 -51.93 -0.42 0.37 16 32 H 0.07 0.76 8.14 -51.93 -0.42 0.33 16 33 H 0.08 0.93 8.03 -51.93 -0.42 0.51 16 34 H 0.08 1.25 7.54 -51.93 -0.39 0.85 16 35 H 0.05 0.49 8.14 -51.93 -0.42 0.07 16 36 H 0.05 0.56 8.14 -51.93 -0.42 0.14 16 37 H 0.05 0.49 8.14 -51.93 -0.42 0.06 16 38 H 0.07 1.16 6.49 -51.93 -0.34 0.83 16 39 H 0.05 0.73 8.14 -51.92 -0.42 0.31 16 40 H 0.05 0.57 8.14 -51.93 -0.42 0.15 16 41 H 0.39 6.11 8.57 -40.82 -0.35 5.76 16 42 H 0.10 2.31 6.42 -51.93 -0.33 1.98 16 43 H 0.04 0.75 7.98 -51.93 -0.41 0.33 16 44 H 0.25 6.49 8.32 -40.82 -0.34 6.15 16 45 H 0.05 1.02 7.87 -51.93 -0.41 0.61 16 46 H 0.05 0.78 8.14 -51.93 -0.42 0.36 16 47 H 0.07 1.34 8.04 -51.93 -0.42 0.93 16 48 H 0.07 1.45 6.11 -51.93 -0.32 1.13 16 49 H 0.05 0.71 8.14 -51.93 -0.42 0.29 16 50 H 0.05 0.90 8.14 -51.93 -0.42 0.48 16 51 H 0.05 0.78 8.14 -51.93 -0.42 0.36 16 52 H 0.08 2.13 7.12 -51.93 -0.37 1.76 16 53 H 0.04 0.85 8.14 -51.93 -0.42 0.43 16 LS Contribution 414.11 15.07 6.24 6.24 Total: -1.00 -31.29 414.11 -8.55 -39.84 By element: Atomic # 1 Polarization: 18.22 SS G_CDS: -9.40 Total: 8.82 kcal Atomic # 6 Polarization: 8.95 SS G_CDS: 0.30 Total: 9.25 kcal Atomic # 7 Polarization: -50.03 SS G_CDS: -0.04 Total: -50.07 kcal Atomic # 8 Polarization: -29.65 SS G_CDS: -0.62 Total: -30.27 kcal Atomic # 14 Polarization: 21.21 SS G_CDS: -5.04 Total: 16.18 kcal Total LS contribution 6.24 Total: 6.24 kcal Total: -31.29 -8.55 -39.84 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. ZINC000151127545.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 -68.998 kcal (2) G-P(sol) polarization free energy of solvation -31.294 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -100.292 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.551 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.845 kcal (6) G-S(sol) free energy of system = (1) + (5) -108.843 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.12 seconds