Wall clock time and date at job start Sun Mar 7 2021 06:04:36 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 1.42901 * 1 3 3 C 1.35994 * 116.99818 * 2 1 4 4 C 1.39156 * 120.06957 * 179.97438 * 3 2 1 5 5 O 1.35997 * 120.07458 * 359.97438 * 4 3 2 6 6 C 1.42898 * 116.99871 * 180.02562 * 5 4 3 7 7 C 1.50694 * 109.47223 * 180.02562 * 6 5 4 8 8 O 1.21280 * 119.99829 * 359.97438 * 7 6 5 9 9 N 1.34779 * 120.00412 * 179.97438 * 7 6 5 10 10 C 1.46502 * 120.00055 * 179.97438 * 9 7 6 11 11 H 1.08994 * 112.85149 * 23.80286 * 10 9 7 12 12 C 1.53783 * 113.61016 * 155.00036 * 10 9 7 13 13 C 1.53788 * 87.07774 * 139.98172 * 12 10 9 14 14 H 1.08994 * 113.61473 * 89.20077 * 13 12 10 15 15 C 1.53000 * 113.61266 * 220.01606 * 13 12 10 16 16 S 1.81395 * 109.47276 * 184.99840 * 15 13 12 17 17 C 1.81399 * 101.92287 * 180.02562 * 16 15 13 18 18 O 1.42106 * 108.57933 * 294.49192 * 16 15 13 19 19 O 1.42107 * 108.57800 * 65.51442 * 16 15 13 20 20 C 1.53780 * 113.61198 * 252.49801 * 10 9 7 21 21 C 1.38566 * 119.85271 * 180.02562 * 4 3 2 22 22 C 1.38245 * 119.99674 * 359.73518 * 21 4 3 23 23 N 1.48011 * 119.92846 * 180.25700 * 22 21 4 24 24 O 1.21807 * 119.99561 * 0.26075 * 23 22 21 25 25 O 1.21797 * 120.00083 * 180.25898 * 23 22 21 26 26 C 1.38251 * 120.15011 * 0.52112 * 22 21 4 27 27 C 1.50699 * 119.93020 * 179.75979 * 26 22 21 28 28 O 1.42907 * 109.46603 * 74.72513 * 27 26 22 29 29 Si 1.86298 * 109.47032 * 194.71816 * 27 26 22 30 30 C 1.38246 * 120.14292 * 359.48138 * 26 22 21 31 31 H 1.08988 * 109.47628 * 300.00475 * 1 2 3 32 32 H 1.09004 * 109.46975 * 60.00719 * 1 2 3 33 33 H 1.09004 * 109.46663 * 180.02562 * 1 2 3 34 34 H 1.09009 * 109.47052 * 299.99662 * 6 5 4 35 35 H 1.09004 * 109.47581 * 59.99747 * 6 5 4 36 36 H 0.96998 * 119.99596 * 0.02562 * 9 7 6 37 37 H 1.08999 * 113.61127 * 254.52618 * 12 10 9 38 38 H 1.08999 * 113.61515 * 25.34844 * 12 10 9 39 39 H 1.08995 * 109.47147 * 305.00430 * 15 13 12 40 40 H 1.09010 * 109.46979 * 65.00141 * 15 13 12 41 41 H 1.09002 * 109.47190 * 60.00515 * 17 16 15 42 42 H 1.08998 * 109.46852 * 180.02562 * 17 16 15 43 43 H 1.08997 * 109.47192 * 300.00051 * 17 16 15 44 44 H 1.08997 * 113.61854 * 334.56786 * 20 10 9 45 45 H 1.08998 * 113.61535 * 105.47207 * 20 10 9 46 46 H 1.07996 * 119.99831 * 180.02562 * 21 4 3 47 47 H 1.08996 * 109.47117 * 314.72426 * 27 26 22 48 48 H 0.96697 * 114.00527 * 59.99993 * 28 27 26 49 49 H 1.48506 * 109.99834 * 58.68765 * 29 27 26 50 50 H 1.48502 * 110.00011 * 180.02562 * 29 27 26 51 51 H 1.08003 * 120.00000 * 180.28127 * 30 26 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 8 1.4290 0.0000 0.0000 3 6 2.0464 1.2117 0.0000 4 6 3.4359 1.2863 0.0005 5 8 4.1795 0.1476 0.0016 6 6 5.6003 0.3006 0.0027 7 6 6.2519 -1.0581 0.0031 8 8 5.5670 -2.0590 0.0030 9 7 7.5957 -1.1612 0.0036 10 6 8.2291 -2.4822 0.0046 11 1 7.5836 -3.2614 -0.4005 12 6 9.6471 -2.4858 -0.5905 13 6 10.0318 -3.4610 0.5348 14 1 9.8810 -4.5087 0.2751 15 6 11.4132 -3.1905 1.1345 16 16 11.8133 -4.4857 2.3398 17 6 13.4568 -3.9720 2.9103 18 8 10.9053 -4.3872 3.4285 19 8 11.9387 -5.7222 1.6507 20 6 8.8771 -2.8536 1.3488 21 6 4.0603 2.5233 0.0011 22 6 3.3029 3.6798 -0.0045 23 7 3.9714 5.0003 -0.0096 24 8 5.1876 5.0672 -0.0138 25 8 3.3054 6.0201 -0.0097 26 6 1.9224 3.6058 0.0003 27 6 1.1016 4.8696 -0.0003 28 8 1.1356 5.4589 -1.3017 29 14 -0.6599 4.4663 0.4529 30 6 1.2932 2.3748 -0.0001 31 1 -0.3634 0.5138 0.8898 32 1 -0.3633 0.5137 -0.8901 33 1 -0.3633 -1.0277 0.0005 34 1 5.9072 0.8501 -0.8874 35 1 5.9059 0.8508 0.8926 36 1 8.1435 -0.3607 0.0040 37 1 9.7015 -2.9252 -1.5865 38 1 10.1505 -1.5212 -0.5253 39 1 12.1601 -3.1896 0.3407 40 1 11.4099 -2.2203 1.6314 41 1 13.3930 -2.9789 3.3551 42 1 13.8212 -4.6808 3.6538 43 1 14.1439 -3.9479 2.0645 44 1 9.1705 -1.9900 1.9455 45 1 8.3099 -3.5898 1.9183 46 1 5.1385 2.5839 0.0011 47 1 1.5126 5.5701 0.7267 48 1 0.7842 4.8902 -2.0004 49 1 -0.7056 3.8238 1.7910 50 1 -1.4799 5.7044 0.4553 51 1 0.2145 2.3196 -0.0010 There are 77 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 77 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). S: (AM1): M.J.S. DEWAR, Y.-C. YUAN, INORGANIC CHEM., 29, 589 (1990) 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_16534806_4549636.mol2 51 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sun Mar 7 2021 06:04:36 Heat of formation + Delta-G solvation = -130.844817 kcal Electronic energy + Delta-G solvation = -39751.843367 eV Core-core repulsion = 34138.082743 eV Total energy + Delta-G solvation = -5613.760623 eV No. of doubly occupied orbitals = 77 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 431.131 amu Computer time = 2.98 seconds Orbital eigenvalues (eV) -43.25286 -42.14192 -41.42350 -40.27580 -39.39919 -39.08768 -38.01858 -37.57113 -37.08741 -37.05222 -35.08004 -32.73239 -32.61964 -31.55312 -30.61734 -29.66473 -28.96499 -27.88016 -26.99211 -25.89586 -24.54798 -23.66771 -23.15667 -21.87000 -21.03381 -20.73788 -19.96284 -19.70305 -19.57558 -18.74568 -18.51932 -18.44273 -17.97663 -17.84339 -17.73251 -17.58233 -17.33047 -17.17579 -17.02059 -16.69669 -16.49054 -16.30936 -16.14242 -15.75339 -15.70099 -15.20390 -14.96111 -14.85249 -14.43925 -14.40685 -14.31710 -14.07037 -13.98046 -13.88569 -13.72091 -13.55276 -13.41386 -13.15563 -13.11148 -13.02104 -12.84487 -12.73692 -12.58544 -12.52051 -12.30386 -12.28774 -12.21317 -12.11767 -11.96042 -11.69567 -11.68855 -11.35238 -11.00981 -10.59940 -10.54371 -10.27462 -9.55031 -5.28344 -1.24174 -1.14210 -0.52722 0.30366 0.41538 1.01874 1.11384 1.33048 1.43475 1.62944 1.70336 1.81784 1.85005 2.19831 2.52709 2.83873 2.89026 3.05972 3.11386 3.16166 3.18973 3.30413 3.35414 3.42812 3.44018 3.49424 3.62002 3.66983 3.68670 3.71367 3.78391 3.83590 3.84983 3.93880 3.95800 3.99055 4.14784 4.20037 4.23577 4.37856 4.42616 4.48760 4.50562 4.52858 4.54407 4.65238 4.70361 4.87088 4.96006 5.27172 5.42885 5.45892 5.90527 6.19508 6.42732 6.76644 6.95093 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.013 3.987 2 O -0.284 6.284 3 C 0.171 3.829 4 C 0.109 3.891 5 O -0.264 6.264 6 C 0.031 3.969 7 C 0.519 3.481 8 O -0.506 6.506 9 N -0.716 5.716 10 C 0.124 3.876 11 H 0.123 0.877 12 C -0.130 4.130 13 C -0.103 4.103 14 H 0.112 0.888 15 C -0.601 4.601 16 S 2.417 3.583 17 C -0.659 4.659 18 O -0.933 6.933 19 O -0.937 6.937 20 C -0.153 4.153 21 C -0.118 4.118 22 C -0.025 4.025 23 N 0.032 4.968 24 O -0.175 6.175 25 O -0.129 6.129 26 C -0.043 4.043 27 C -0.074 4.074 28 O -0.515 6.515 29 Si 0.674 3.326 30 C -0.177 4.177 31 H 0.064 0.936 32 H 0.068 0.932 33 H 0.114 0.886 34 H 0.100 0.900 35 H 0.100 0.900 36 H 0.404 0.596 37 H 0.084 0.916 38 H 0.094 0.906 39 H 0.137 0.863 40 H 0.134 0.866 41 H 0.128 0.872 42 H 0.131 0.869 43 H 0.128 0.872 44 H 0.094 0.906 45 H 0.087 0.913 46 H 0.166 0.834 47 H 0.139 0.861 48 H 0.374 0.626 49 H -0.252 1.252 50 H -0.242 1.242 51 H 0.163 0.837 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.301 -0.061 -2.496 2.815 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 -0.082 4.082 2 O -0.195 6.195 3 C 0.123 3.877 4 C 0.062 3.938 5 O -0.176 6.176 6 C -0.048 4.048 7 C 0.303 3.697 8 O -0.379 6.379 9 N -0.370 5.370 10 C 0.019 3.981 11 H 0.141 0.859 12 C -0.169 4.169 13 C -0.122 4.122 14 H 0.130 0.870 15 C -0.729 4.729 16 S 2.599 3.401 17 C -0.808 4.808 18 O -0.930 6.930 19 O -0.935 6.935 20 C -0.192 4.192 21 C -0.138 4.138 22 C -0.109 4.109 23 N 0.551 4.449 24 O -0.385 6.385 25 O -0.349 6.349 26 C -0.045 4.045 27 C -0.184 4.184 28 O -0.319 6.319 29 Si 0.574 3.426 30 C -0.196 4.196 31 H 0.083 0.917 32 H 0.086 0.914 33 H 0.133 0.867 34 H 0.118 0.882 35 H 0.118 0.882 36 H 0.239 0.761 37 H 0.103 0.897 38 H 0.112 0.888 39 H 0.156 0.844 40 H 0.153 0.847 41 H 0.147 0.853 42 H 0.149 0.851 43 H 0.147 0.853 44 H 0.113 0.887 45 H 0.105 0.895 46 H 0.183 0.817 47 H 0.156 0.844 48 H 0.220 0.780 49 H -0.176 1.176 50 H -0.166 1.166 51 H 0.180 0.820 Dipole moment (debyes) X Y Z Total from point charges -0.379 -1.976 -1.320 2.406 hybrid contribution 1.799 1.962 0.027 2.662 sum 1.421 -0.014 -1.293 1.921 Atomic orbital electron populations 1.23423 0.76778 1.05812 1.02172 1.86349 1.22509 1.24199 1.86469 1.18451 0.89043 0.85909 0.94346 1.17853 0.88429 0.85327 1.02204 1.86340 1.16827 1.26014 1.88414 1.22674 0.80268 0.97239 1.04609 1.19887 0.82727 0.90165 0.76902 1.90813 1.62573 1.37821 1.46675 1.45770 1.05727 1.09492 1.75982 1.22563 0.92975 0.85492 0.97055 0.85922 1.23386 0.94732 1.00030 0.98794 1.22069 0.90655 1.01299 0.98209 0.87014 1.30302 1.06265 1.19204 1.17149 1.07977 0.77858 0.77301 0.76955 1.30299 1.24061 1.13185 1.13232 1.93626 1.60655 1.86825 1.51933 1.93627 1.86358 1.38858 1.74611 1.23714 0.96329 1.02006 0.97137 1.20796 1.02176 0.88970 1.01854 1.20398 0.91979 0.83131 1.15431 1.43383 1.00976 1.02623 0.97906 1.94539 0.95811 1.93726 1.54425 1.94578 1.64445 1.24073 1.51842 1.20101 0.91604 0.97057 0.95729 1.25464 1.08495 0.93238 0.91199 1.86713 1.86627 1.43399 1.15155 0.95566 0.76325 0.85240 0.85441 1.20903 1.00510 0.89593 1.08553 0.91734 0.91354 0.86744 0.88183 0.88234 0.76116 0.89683 0.88795 0.84443 0.84750 0.85303 0.85072 0.85296 0.88715 0.89471 0.81656 0.84432 0.77977 1.17634 1.16568 0.82014 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 25. 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 0.01 -0.05 9.81 101.05 0.99 0.94 16 2 O -0.28 -0.04 10.28 -34.22 -0.35 -0.40 16 3 C 0.17 -0.04 6.70 -39.12 -0.26 -0.30 16 4 C 0.11 0.04 6.70 -39.12 -0.26 -0.22 16 5 O -0.26 -0.39 9.45 -47.36 -0.45 -0.84 16 6 C 0.03 -0.06 5.22 36.00 0.19 0.12 16 7 C 0.52 0.14 7.91 -10.99 -0.09 0.05 16 8 O -0.51 -2.69 16.10 -14.35 -0.23 -2.92 16 9 N -0.72 2.06 5.35 -53.02 -0.28 1.77 16 10 C 0.12 -0.25 4.24 -67.12 -0.28 -0.54 16 11 H 0.12 -0.03 7.46 -51.93 -0.39 -0.42 16 12 C -0.13 0.55 7.39 -25.91 -0.19 0.36 16 13 C -0.10 0.31 3.66 -89.80 -0.33 -0.01 16 14 H 0.11 -0.29 8.13 -51.93 -0.42 -0.71 16 15 C -0.60 3.08 5.64 37.16 0.21 3.29 16 16 S 2.42 -5.14 5.35 -107.50 -0.58 -5.72 16 17 C -0.66 3.22 10.62 101.05 1.07 4.29 16 18 O -0.93 -1.82 18.10 -57.83 -1.05 -2.86 16 19 O -0.94 -2.06 18.10 -57.83 -1.05 -3.10 16 20 C -0.15 0.29 7.43 -25.92 -0.19 0.10 16 21 C -0.12 0.03 8.54 -39.46 -0.34 -0.31 16 22 C -0.03 -0.04 6.85 -79.94 -0.55 -0.58 16 23 N 0.03 0.13 4.45 33.96 0.15 0.28 16 24 O -0.17 -0.81 18.44 -29.46 -0.54 -1.35 16 25 O -0.13 -0.68 14.61 -35.99 -0.53 -1.21 16 26 C -0.04 0.01 5.26 -104.61 -0.55 -0.54 16 27 C -0.07 0.01 1.74 36.01 0.06 0.08 16 28 O -0.52 -0.14 11.77 -55.59 -0.65 -0.79 16 29 Si 0.67 -1.51 29.91 -169.99 -5.08 -6.59 16 30 C -0.18 0.36 7.65 -39.46 -0.30 0.05 16 31 H 0.06 -0.34 7.66 -51.94 -0.40 -0.74 16 32 H 0.07 -0.43 7.66 -51.93 -0.40 -0.83 16 33 H 0.11 -0.59 8.14 -51.93 -0.42 -1.01 16 34 H 0.10 -0.48 7.66 -51.92 -0.40 -0.87 16 35 H 0.10 -0.46 7.66 -51.93 -0.40 -0.85 16 36 H 0.40 -2.51 8.73 -40.82 -0.36 -2.86 16 37 H 0.08 -0.36 8.14 -51.93 -0.42 -0.78 16 38 H 0.09 -0.55 8.08 -51.93 -0.42 -0.97 16 39 H 0.14 -1.00 8.14 -51.93 -0.42 -1.43 16 40 H 0.13 -0.99 7.84 -51.92 -0.41 -1.40 16 41 H 0.13 -0.85 8.14 -51.92 -0.42 -1.28 16 42 H 0.13 -0.59 8.14 -51.93 -0.42 -1.01 16 43 H 0.13 -0.85 8.14 -51.93 -0.42 -1.27 16 44 H 0.09 -0.30 7.90 -51.93 -0.41 -0.71 16 45 H 0.09 -0.02 8.14 -51.93 -0.42 -0.44 16 46 H 0.17 -0.38 5.85 -52.49 -0.31 -0.69 16 47 H 0.14 0.21 6.09 -51.93 -0.32 -0.11 16 48 H 0.37 -1.60 8.70 45.56 0.40 -1.20 16 49 H -0.25 0.05 7.11 56.52 0.40 0.45 16 50 H -0.24 -0.27 7.11 56.52 0.40 0.13 16 51 H 0.16 -0.82 3.36 -52.48 -0.18 -0.99 16 LS Contribution 441.27 15.07 6.65 6.65 Total: 0.00 -18.93 441.27 -11.36 -30.29 By element: Atomic # 1 Polarization: -13.43 SS G_CDS: -6.55 Total: -19.98 kcal Atomic # 6 Polarization: 7.60 SS G_CDS: -0.82 Total: 6.78 kcal Atomic # 7 Polarization: 2.19 SS G_CDS: -0.13 Total: 2.06 kcal Atomic # 8 Polarization: -8.64 SS G_CDS: -4.85 Total: -13.48 kcal Atomic # 14 Polarization: -1.51 SS G_CDS: -5.08 Total: -6.59 kcal Atomic # 16 Polarization: -5.14 SS G_CDS: -0.58 Total: -5.72 kcal Total LS contribution 6.65 Total: 6.65 kcal Total: -18.93 -11.36 -30.29 kcal The number of atoms in the molecule is 51 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_16534806_4549636.mol2 51 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 -100.552 kcal (2) G-P(sol) polarization free energy of solvation -18.930 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -119.482 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -11.362 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -30.293 kcal (6) G-S(sol) free energy of system = (1) + (5) -130.845 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 2.98 seconds