Wall clock time and date at job start Sat Apr 11 2020 06:13:11 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 C 1.53001 * 1 3 3 O 1.42897 * 109.47287 * 2 1 4 4 C 1.42896 * 114.00124 * 179.97438 * 3 2 1 5 5 H 1.09002 * 109.47058 * 29.99961 * 4 3 2 6 6 C 1.53007 * 109.47041 * 269.99816 * 4 3 2 7 7 C 1.50697 * 109.47143 * 150.00050 * 4 3 2 8 8 O 1.21281 * 120.00179 * 4.99858 * 7 4 3 9 9 N 1.34779 * 119.99994 * 184.99585 * 7 4 3 10 10 C 1.46501 * 120.00023 * 179.97438 * 9 7 4 11 11 H 1.09005 * 109.50027 * 324.93160 * 10 9 7 12 12 C 1.53197 * 109.49890 * 85.00303 * 10 9 7 13 13 N 1.46919 * 108.76921 * 174.66888 * 12 10 9 14 14 C 1.36936 * 120.63174 * 126.33272 * 13 12 10 15 15 H 1.08002 * 119.99963 * 207.47731 * 14 13 12 16 16 C 1.38817 * 120.00135 * 27.47432 * 14 13 12 17 17 N 1.31613 * 119.99439 * 17.82541 * 16 14 13 18 18 Si 1.86800 * 120.00188 * 197.82238 * 16 14 13 19 19 H 1.48501 * 109.47011 * 265.35806 * 18 16 14 20 20 H 1.48503 * 109.47065 * 25.35949 * 18 16 14 21 21 H 1.48498 * 109.46879 * 145.35887 * 18 16 14 22 22 C 1.46937 * 118.73929 * 306.60170 * 13 12 10 23 23 C 1.52619 * 109.06261 * 53.12513 * 22 13 12 24 24 C 1.53080 * 109.36769 * 65.99705 * 23 22 13 25 25 C 1.53108 * 109.16941 * 176.71067 * 24 23 22 26 26 O 1.42905 * 109.41556 * 302.52495 * 25 24 23 27 27 C 1.42909 * 114.11932 * 61.18148 * 26 25 24 28 28 C 1.53093 * 109.56376 * 185.65366 * 23 22 13 29 29 C 1.52938 * 109.58224 * 305.86819 * 23 22 13 30 30 H 1.08999 * 109.46722 * 60.00174 * 1 2 3 31 31 H 1.09001 * 109.46974 * 179.97438 * 1 2 3 32 32 H 1.08991 * 109.47425 * 300.00483 * 1 2 3 33 33 H 1.09004 * 109.47315 * 239.99648 * 2 1 3 34 34 H 1.09007 * 109.46659 * 120.00166 * 2 1 3 35 35 H 1.09001 * 109.46710 * 60.00350 * 6 4 3 36 36 H 1.09000 * 109.46974 * 179.97438 * 6 4 3 37 37 H 1.08991 * 109.47218 * 300.00515 * 6 4 3 38 38 H 0.96995 * 119.99872 * 0.02562 * 9 7 4 39 39 H 1.08999 * 109.58283 * 54.88728 * 12 10 9 40 40 H 1.08998 * 109.58960 * 294.45854 * 12 10 9 41 41 H 0.97003 * 120.00061 * 179.97438 * 17 16 14 42 42 H 1.09001 * 109.58550 * 172.97709 * 22 13 12 43 43 H 1.09002 * 109.57792 * 293.38445 * 22 13 12 44 44 H 1.08994 * 109.52114 * 296.62360 * 24 23 22 45 45 H 1.08999 * 109.52010 * 56.80479 * 24 23 22 46 46 H 1.08998 * 109.48070 * 182.54144 * 25 24 23 47 47 H 1.09005 * 109.48190 * 62.50883 * 25 24 23 48 48 H 1.09002 * 109.48332 * 178.82611 * 27 26 25 49 49 H 1.09001 * 109.48799 * 58.78124 * 27 26 25 50 50 H 1.08995 * 109.52625 * 303.29422 * 28 23 22 51 51 H 1.09005 * 109.51782 * 63.48067 * 28 23 22 52 52 H 1.08997 * 109.45606 * 300.96071 * 29 23 22 53 53 H 1.09001 * 109.43532 * 181.00478 * 29 23 22 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 8 2.0064 1.3472 0.0000 4 6 3.4309 1.4601 0.0006 5 1 3.8636 0.6014 -0.5129 6 6 3.9387 1.5006 1.4434 7 6 3.8348 2.7262 -0.7098 8 8 2.9865 3.5046 -1.0913 9 7 5.1388 2.9937 -0.9212 10 6 5.5314 4.2243 -1.6123 11 1 4.7935 4.4626 -2.3785 12 6 5.6107 5.3744 -0.6034 13 7 6.1280 6.5678 -1.2866 14 6 5.4420 7.7519 -1.2379 15 1 5.5411 8.4668 -2.0414 16 6 4.6193 8.0335 -0.1559 17 7 4.7544 7.3594 0.9664 18 14 3.3206 9.3693 -0.2927 19 1 3.8665 10.6461 0.2335 20 1 2.9383 9.5439 -1.7170 21 1 2.1247 8.9795 0.4967 22 6 7.3924 6.4650 -2.0280 23 6 7.3000 5.3023 -3.0123 24 6 6.2484 5.6216 -4.0780 25 6 6.2175 4.4900 -5.1088 26 8 7.5178 4.3321 -5.6800 27 6 8.5322 3.9837 -4.7356 28 6 8.6569 5.0954 -3.6902 29 6 6.9018 4.0286 -2.2651 30 1 -0.3633 0.5138 -0.8900 31 1 -0.3633 -1.0277 -0.0005 32 1 -0.3634 0.5139 0.8898 33 1 1.8934 -0.5139 -0.8900 34 1 1.8933 -0.5139 0.8900 35 1 3.6465 0.5847 1.9572 36 1 5.0253 1.5862 1.4438 37 1 3.5060 2.3591 1.9569 38 1 5.8171 2.3711 -0.6164 39 1 6.2812 5.1002 0.2111 40 1 4.6168 5.5821 -0.2071 41 1 4.1798 7.5564 1.7227 42 1 7.5718 7.3909 -2.5745 43 1 8.2110 6.2854 -1.3311 44 1 5.2694 5.7129 -3.6077 45 1 6.5044 6.5584 -4.5730 46 1 5.5024 4.7334 -5.8945 47 1 5.9196 3.5618 -4.6208 48 1 9.4841 3.8624 -5.2527 49 1 8.2645 3.0492 -4.2425 50 1 8.9657 6.0203 -4.1772 51 1 9.3978 4.8112 -2.9429 52 1 7.6429 3.8124 -1.4956 53 1 6.8539 3.1962 -2.9672 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 ZINC001099565708.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 06:13:11 Heat of formation + Delta-G solvation = -112.334457 kcal Electronic energy + Delta-G solvation = -32540.041519 eV Core-core repulsion = 28412.208073 eV Total energy + Delta-G solvation = -4127.833446 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.05 seconds Orbital eigenvalues (eV) -40.31916 -39.45979 -37.76276 -36.77597 -34.19928 -33.73736 -32.51162 -31.08504 -30.68584 -30.37810 -29.03630 -27.05928 -25.42500 -24.52654 -23.38973 -23.05879 -22.83665 -21.69403 -20.46198 -19.83652 -18.12418 -17.06000 -16.86666 -16.67170 -15.98000 -15.80036 -15.76056 -15.15376 -14.96806 -14.64893 -14.55155 -14.03820 -13.94371 -13.72626 -13.55543 -13.31331 -13.16364 -12.84502 -12.67605 -12.54227 -12.37156 -12.19073 -12.01181 -11.96036 -11.49978 -11.42714 -11.42257 -11.09878 -11.02788 -10.96363 -10.78882 -10.67661 -10.46956 -10.20797 -10.05886 -10.03408 -9.86477 -9.79521 -9.54631 -9.11504 -9.04844 -8.54714 -8.41023 -6.66233 -5.76021 -3.18221 2.98171 3.10938 3.43076 3.51761 3.53511 3.97461 4.08080 4.53251 4.74297 4.87165 4.91682 4.93192 5.04442 5.07985 5.13844 5.15663 5.20322 5.30170 5.37784 5.39811 5.43835 5.49562 5.55715 5.61612 5.64607 5.66125 5.74067 5.78348 5.81988 5.87402 5.98903 6.01528 6.06930 6.12373 6.13738 6.23290 6.36474 6.40479 6.49380 6.64428 6.78336 6.79214 6.86628 6.94154 7.08357 7.28228 7.40526 7.71671 7.83312 7.92339 8.46807 8.66584 9.22490 9.86641 10.40536 11.32182 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.007652 B = 0.004755 C = 0.003335 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3658.518089 B = 5887.277169 C = 8392.714886 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C 0.055 3.945 3 O -0.356 6.356 4 C 0.073 3.927 5 H 0.080 0.920 6 C -0.169 4.169 7 C 0.510 3.490 8 O -0.510 6.510 9 N -0.720 5.720 10 C 0.117 3.883 11 H 0.086 0.914 12 C 0.167 3.833 13 N -0.583 5.583 14 C -0.257 4.257 15 H 0.066 0.934 16 C 0.009 3.991 17 N -0.897 5.897 18 Si 0.899 3.101 19 H -0.288 1.288 20 H -0.278 1.278 21 H -0.289 1.289 22 C 0.157 3.843 23 C -0.069 4.069 24 C -0.138 4.138 25 C 0.059 3.941 26 O -0.388 6.388 27 C 0.062 3.938 28 C -0.142 4.142 29 C -0.110 4.110 30 H 0.065 0.935 31 H 0.069 0.931 32 H 0.064 0.936 33 H 0.047 0.953 34 H 0.048 0.952 35 H 0.064 0.936 36 H 0.072 0.928 37 H 0.074 0.926 38 H 0.391 0.609 39 H 0.016 0.984 40 H 0.095 0.905 41 H 0.253 0.747 42 H 0.056 0.944 43 H 0.018 0.982 44 H 0.089 0.911 45 H 0.066 0.934 46 H 0.087 0.913 47 H 0.047 0.953 48 H 0.085 0.915 49 H 0.047 0.953 50 H 0.071 0.929 51 H 0.069 0.931 52 H 0.061 0.939 53 H 0.053 0.947 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 3.474 -16.767 -4.237 17.640 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 -0.208 4.208 2 C -0.022 4.022 3 O -0.274 6.274 4 C 0.011 3.989 5 H 0.097 0.903 6 C -0.227 4.227 7 C 0.294 3.706 8 O -0.384 6.384 9 N -0.373 5.373 10 C 0.012 3.988 11 H 0.104 0.896 12 C 0.040 3.960 13 N -0.305 5.305 14 C -0.386 4.386 15 H 0.084 0.916 16 C -0.190 4.190 17 N -0.541 5.541 18 Si 0.729 3.271 19 H -0.216 1.216 20 H -0.203 1.203 21 H -0.215 1.215 22 C 0.030 3.970 23 C -0.072 4.072 24 C -0.175 4.175 25 C -0.017 4.017 26 O -0.307 6.307 27 C -0.015 4.015 28 C -0.180 4.180 29 C -0.148 4.148 30 H 0.084 0.916 31 H 0.088 0.912 32 H 0.083 0.917 33 H 0.065 0.935 34 H 0.066 0.934 35 H 0.083 0.917 36 H 0.091 0.909 37 H 0.093 0.907 38 H 0.223 0.777 39 H 0.034 0.966 40 H 0.114 0.886 41 H 0.063 0.937 42 H 0.074 0.926 43 H 0.036 0.964 44 H 0.107 0.893 45 H 0.085 0.915 46 H 0.105 0.895 47 H 0.065 0.935 48 H 0.104 0.896 49 H 0.065 0.935 50 H 0.090 0.910 51 H 0.088 0.912 52 H 0.079 0.921 53 H 0.072 0.928 Dipole moment (debyes) X Y Z Total from point charges 2.627 -15.944 -4.547 16.787 hybrid contribution -0.170 0.018 0.635 0.658 sum 2.457 -15.927 -3.912 16.583 Atomic orbital electron populations 1.21723 0.93576 1.01951 1.03557 1.22558 0.95925 0.83939 0.99770 1.88099 1.18634 1.25776 1.94907 1.21901 0.83479 0.96725 0.96782 0.90268 1.22216 1.01758 1.03586 0.95148 1.20221 0.83022 0.87407 0.79995 1.90762 1.50038 1.48371 1.49186 1.45997 1.06454 1.24277 1.60575 1.22035 0.95337 0.84648 0.96773 0.89638 1.21102 1.01267 0.83162 0.90512 1.43890 1.20093 1.06930 1.59596 1.19106 1.22204 0.95508 1.01795 0.91617 1.24987 1.01090 0.98396 0.94550 1.70010 1.39185 1.43255 1.01655 0.86332 0.81787 0.81256 0.77720 1.21550 1.20311 1.21486 1.20849 0.89184 0.94758 0.92204 1.20905 0.93760 0.96741 0.95781 1.22163 1.01314 0.98218 0.95813 1.22664 0.84237 0.97964 0.96853 1.87868 1.17659 1.90696 1.34506 1.22552 0.91398 0.96485 0.91058 1.22168 0.97703 0.99825 0.98301 1.21805 0.96845 0.97289 0.98824 0.91634 0.91231 0.91700 0.93493 0.93405 0.91701 0.90922 0.90665 0.77662 0.96551 0.88641 0.93664 0.92557 0.96383 0.89264 0.91521 0.89498 0.93519 0.89641 0.93479 0.91046 0.91198 0.92062 0.92805 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -1.45 10.28 37.16 0.38 -1.07 16 2 C 0.05 0.58 6.47 37.16 0.24 0.82 16 3 O -0.36 -5.43 9.53 -55.09 -0.52 -5.95 16 4 C 0.07 0.97 3.13 -27.88 -0.09 0.89 16 5 H 0.08 0.79 7.79 -51.93 -0.40 0.39 16 6 C -0.17 -1.95 9.48 37.16 0.35 -1.60 16 7 C 0.51 9.03 7.14 -10.99 -0.08 8.96 16 8 O -0.51 -11.90 16.17 -14.30 -0.23 -12.13 16 9 N -0.72 -11.27 5.04 -53.68 -0.27 -11.54 16 10 C 0.12 2.17 2.27 -67.80 -0.15 2.02 16 11 H 0.09 1.82 5.73 -51.93 -0.30 1.53 16 12 C 0.17 3.93 4.89 -3.71 -0.02 3.91 16 13 N -0.58 -14.16 2.52 -172.66 -0.44 -14.60 16 14 C -0.26 -7.03 9.59 -15.06 -0.14 -7.18 16 15 H 0.07 1.77 7.89 -52.49 -0.41 1.36 16 16 C 0.01 0.26 4.90 -17.43 -0.09 0.17 16 17 N -0.90 -26.53 11.20 55.49 0.62 -25.91 16 18 Si 0.90 22.56 29.59 -169.99 -5.03 17.53 16 19 H -0.29 -7.13 7.11 56.52 0.40 -6.73 16 20 H -0.28 -6.86 7.11 56.52 0.40 -6.46 16 21 H -0.29 -7.40 7.11 56.52 0.40 -7.00 16 22 C 0.16 3.12 5.15 -4.00 -0.02 3.10 16 23 C -0.07 -1.11 0.51 -154.65 -0.08 -1.19 16 24 C -0.14 -2.30 4.47 -26.63 -0.12 -2.42 16 25 C 0.06 0.86 6.57 37.21 0.24 1.11 16 26 O -0.39 -5.69 10.76 -35.23 -0.38 -6.07 16 27 C 0.06 0.76 6.57 37.21 0.24 1.00 16 28 C -0.14 -1.87 4.92 -26.63 -0.13 -2.00 16 29 C -0.11 -1.67 3.63 -26.74 -0.10 -1.76 16 30 H 0.06 0.69 8.14 -51.93 -0.42 0.27 16 31 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 32 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 33 H 0.05 0.43 8.09 -51.93 -0.42 0.01 16 34 H 0.05 0.42 7.87 -51.93 -0.41 0.01 16 35 H 0.06 0.60 7.87 -51.93 -0.41 0.19 16 36 H 0.07 0.71 7.93 -51.93 -0.41 0.30 16 37 H 0.07 1.06 8.14 -51.93 -0.42 0.64 16 38 H 0.39 4.61 8.39 -40.82 -0.34 4.27 16 39 H 0.02 0.40 8.14 -51.93 -0.42 -0.02 16 40 H 0.10 2.71 6.03 -51.93 -0.31 2.40 16 41 H 0.25 7.33 8.31 -40.82 -0.34 6.99 16 42 H 0.06 1.13 7.93 -51.93 -0.41 0.72 16 43 H 0.02 0.37 8.14 -51.93 -0.42 -0.06 16 44 H 0.09 1.75 5.94 -51.93 -0.31 1.44 16 45 H 0.07 1.14 8.14 -51.93 -0.42 0.72 16 46 H 0.09 1.18 8.14 -51.93 -0.42 0.76 16 47 H 0.05 0.67 6.64 -51.93 -0.34 0.32 16 48 H 0.09 0.88 8.14 -51.93 -0.42 0.46 16 49 H 0.05 0.54 6.59 -51.93 -0.34 0.20 16 50 H 0.07 0.96 8.14 -51.93 -0.42 0.54 16 51 H 0.07 0.83 8.14 -51.93 -0.42 0.41 16 52 H 0.06 0.89 8.14 -51.93 -0.42 0.46 16 53 H 0.05 0.73 5.03 -51.93 -0.26 0.47 16 LS Contribution 401.82 15.07 6.06 6.06 Total: -1.00 -33.96 401.82 -9.04 -43.00 By element: Atomic # 1 Polarization: 14.16 SS G_CDS: -9.30 Total: 4.86 kcal Atomic # 6 Polarization: 4.31 SS G_CDS: 0.45 Total: 4.76 kcal Atomic # 7 Polarization: -51.97 SS G_CDS: -0.09 Total: -52.05 kcal Atomic # 8 Polarization: -23.02 SS G_CDS: -1.14 Total: -24.16 kcal Atomic # 14 Polarization: 22.56 SS G_CDS: -5.03 Total: 17.53 kcal Total LS contribution 6.06 Total: 6.06 kcal Total: -33.96 -9.04 -43.00 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. ZINC001099565708.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 -69.335 kcal (2) G-P(sol) polarization free energy of solvation -33.958 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -103.293 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.042 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.000 kcal (6) G-S(sol) free energy of system = (1) + (5) -112.334 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.05 seconds