Wall clock time and date at job start Tue Mar 31 2020 05:48:12 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 N 2 2 C 1.31521 * 1 3 3 Si 1.86795 * 120.00085 * 2 1 4 4 H 1.48499 * 109.47134 * 270.00338 * 3 2 1 5 5 H 1.48507 * 109.47140 * 30.00438 * 3 2 1 6 6 H 1.48503 * 109.47173 * 150.00100 * 3 2 1 7 7 C 1.37882 * 119.99661 * 180.02562 * 2 1 3 8 8 H 1.08003 * 119.99845 * 359.97438 * 7 2 1 9 9 C 1.50699 * 119.99765 * 179.97438 * 7 2 1 10 10 C 1.52995 * 109.47104 * 180.02562 * 9 7 2 11 11 H 1.09008 * 109.47299 * 54.99569 * 10 9 7 12 12 N 1.46905 * 109.47184 * 295.00041 * 10 9 7 13 13 C 1.46896 * 111.00094 * 154.99947 * 12 10 9 14 14 C 1.53115 * 109.52135 * 204.99697 * 13 12 10 15 15 C 1.53037 * 109.27856 * 182.44183 * 14 13 12 16 16 N 1.46848 * 109.52512 * 59.18070 * 15 14 13 17 17 C 1.39675 * 110.99923 * 174.16039 * 16 15 14 18 18 C 1.38908 * 120.07526 * 359.72529 * 17 16 15 19 19 C 1.38109 * 119.92333 * 179.76727 * 18 17 16 20 20 C 1.38288 * 120.07254 * 0.51105 * 19 18 17 21 21 C 1.38289 * 120.14988 * 359.73760 * 20 19 18 22 22 C 1.38100 * 120.07412 * 0.02562 * 21 20 19 23 23 C 1.46845 * 111.19480 * 298.25682 * 16 15 14 24 24 C 1.53043 * 109.52339 * 61.74605 * 23 16 15 25 25 C 1.50703 * 109.47113 * 174.99892 * 10 9 7 26 26 C 1.38233 * 120.00020 * 79.73019 * 25 10 9 27 27 C 1.38229 * 120.00075 * 179.81218 * 26 25 10 28 28 C 1.38236 * 119.99845 * 0.39168 * 27 26 25 29 29 C 1.38236 * 120.00234 * 359.85819 * 28 27 26 30 30 C 1.38235 * 119.99827 * 359.95592 * 29 28 27 31 31 H 0.96997 * 119.99615 * 359.97438 * 1 2 3 32 32 H 1.08997 * 109.47447 * 59.99415 * 9 7 2 33 33 H 1.09002 * 109.47085 * 300.00096 * 9 7 2 34 34 H 1.00904 * 110.99879 * 31.04419 * 12 10 9 35 35 H 1.09000 * 109.52484 * 325.12513 * 13 12 10 36 36 H 1.09006 * 109.50407 * 62.50012 * 14 13 12 37 37 H 1.08996 * 109.50478 * 302.38603 * 14 13 12 38 38 H 1.08999 * 109.46025 * 299.16142 * 15 14 13 39 39 H 1.08997 * 109.45377 * 179.19570 * 15 14 13 40 40 H 1.08003 * 120.03892 * 0.02562 * 18 17 16 41 41 H 1.07992 * 119.96279 * 180.25242 * 19 18 17 42 42 H 1.08002 * 119.92653 * 179.72648 * 20 19 18 43 43 H 1.08003 * 119.96222 * 179.97438 * 21 20 19 44 44 H 1.08008 * 120.03617 * 179.97438 * 22 21 20 45 45 H 1.09001 * 109.46278 * 181.75321 * 23 16 15 46 46 H 1.08995 * 109.46749 * 301.72765 * 23 16 15 47 47 H 1.08996 * 109.50200 * 180.87655 * 24 23 16 48 48 H 1.08994 * 109.50687 * 60.75367 * 24 23 16 49 49 H 1.08001 * 119.99603 * 359.97438 * 26 25 10 50 50 H 1.08000 * 120.00519 * 180.22437 * 27 26 25 51 51 H 1.08008 * 120.00294 * 179.84156 * 28 27 26 52 52 H 1.07993 * 120.00483 * 179.97438 * 29 28 27 53 53 H 1.08000 * 120.00311 * 180.02562 * 30 29 28 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 7 0.0000 0.0000 0.0000 2 6 1.3152 0.0000 0.0000 3 14 2.2492 1.6177 0.0000 4 1 2.4966 2.0464 -1.4001 5 1 1.4467 2.6526 0.7002 6 1 3.5468 1.4401 0.7000 7 6 2.0045 -1.1941 -0.0005 8 1 1.4645 -2.1294 -0.0005 9 6 3.5115 -1.1942 -0.0011 10 6 4.0215 -2.6366 -0.0023 11 1 3.5865 -3.1752 -0.8443 12 7 3.6333 -3.2943 1.2527 13 6 3.5544 -4.7510 1.0811 14 6 2.5962 -5.3375 2.1214 15 6 2.5648 -6.8608 1.9774 16 7 3.9167 -7.4001 2.1720 17 6 3.9024 -8.7968 2.1779 18 6 2.7044 -9.4813 2.0179 19 6 2.6945 -10.8624 2.0194 20 6 3.8741 -11.5636 2.1906 21 6 5.0678 -10.8851 2.3554 22 6 5.0854 -9.5043 2.3499 23 6 4.8442 -6.8876 1.1554 24 6 4.9437 -5.3651 1.2749 25 6 5.5234 -2.6384 -0.1267 26 6 6.3092 -2.3924 0.9836 27 6 7.6868 -2.3978 0.8703 28 6 8.2785 -2.6413 -0.3551 29 6 7.4927 -2.8821 -1.4665 30 6 6.1150 -2.8805 -1.3524 31 1 -0.4849 0.8401 0.0004 32 1 3.8753 -0.6805 0.8887 33 1 3.8745 -0.6801 -0.8911 34 1 2.7619 -2.9234 1.6008 35 1 3.1900 -4.9807 0.0798 36 1 1.5954 -4.9362 1.9615 37 1 2.9391 -5.0735 3.1218 38 1 2.2086 -7.1242 0.9815 39 1 1.8943 -7.2825 2.7262 40 1 1.7822 -8.9342 1.8883 41 1 1.7640 -11.3952 1.8910 42 1 3.8630 -12.6435 2.1958 43 1 5.9872 -11.4358 2.4892 44 1 6.0180 -8.9750 2.4791 45 1 5.8293 -7.3288 1.3071 46 1 4.4774 -7.1508 0.1634 47 1 5.6201 -4.9835 0.5102 48 1 5.3235 -5.1015 2.2620 49 1 5.8468 -2.1985 1.9402 50 1 8.3009 -2.2092 1.7385 51 1 9.3549 -2.6430 -0.4442 52 1 7.9549 -3.0719 -2.4239 53 1 5.5010 -3.0691 -2.2206 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) 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 ZINC000090665762.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 05:48:12 Heat of formation + Delta-G solvation = 55.704588 kcal Electronic energy + Delta-G solvation = -30922.136240 eV Core-core repulsion = 27143.816866 eV Total energy + Delta-G solvation = -3778.319374 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 350.205 amu Computer time = 1.15 seconds Orbital eigenvalues (eV) -40.46383 -39.20605 -37.96431 -36.05113 -33.59584 -32.27622 -31.68049 -30.58831 -30.50933 -30.10864 -29.30510 -27.84725 -24.85533 -23.93000 -23.30373 -22.19082 -21.79442 -21.54589 -21.17893 -19.69101 -19.35431 -17.79768 -17.06989 -16.24913 -15.91807 -15.58589 -15.33247 -14.97276 -14.86212 -14.55626 -14.46033 -14.30910 -13.97543 -13.78101 -13.59068 -13.45552 -13.01669 -12.96655 -12.75482 -12.61834 -12.50141 -12.29098 -11.96157 -11.86815 -11.54255 -11.39329 -11.22842 -11.12130 -11.06236 -11.04990 -10.67489 -10.47444 -10.40522 -10.13682 -9.91563 -9.78650 -9.74966 -9.28655 -9.07808 -8.62768 -8.53839 -8.17120 -7.90216 -7.86230 -6.13793 -4.13145 1.25824 1.27343 1.74979 1.80419 3.27026 3.35241 3.40274 3.50803 3.81016 4.18401 4.38904 4.56557 4.68664 4.79891 4.85985 4.95038 5.01586 5.19611 5.20351 5.23523 5.24635 5.28051 5.30872 5.33108 5.38557 5.45441 5.54531 5.55126 5.61095 5.75909 5.78245 5.80549 5.83694 5.93824 5.98587 5.99720 6.11919 6.21677 6.25916 6.29777 6.30956 6.38441 6.41324 6.41782 6.52193 6.56183 6.68915 6.80754 6.86990 6.97103 7.08728 7.10447 7.21304 7.24081 7.39954 7.67018 7.81710 8.13373 8.38941 8.86793 9.48684 10.98788 Molecular weight = 350.21amu Principal moments of inertia in cm(-1) A = 0.010727 B = 0.002945 C = 0.002408 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2609.643761 B = 9503.801838 C =11623.029828 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 N -0.899 5.899 2 C 0.072 3.928 3 Si 0.878 3.122 4 H -0.278 1.278 5 H -0.288 1.288 6 H -0.263 1.263 7 C -0.525 4.525 8 H 0.071 0.929 9 C -0.009 4.009 10 C 0.137 3.863 11 H 0.045 0.955 12 N -0.675 5.675 13 C 0.090 3.910 14 C -0.121 4.121 15 C 0.056 3.944 16 N -0.487 5.487 17 C 0.120 3.880 18 C -0.175 4.175 19 C -0.094 4.094 20 C -0.155 4.155 21 C -0.096 4.096 22 C -0.144 4.144 23 C 0.062 3.938 24 C -0.105 4.105 25 C -0.054 4.054 26 C -0.088 4.088 27 C -0.130 4.130 28 C -0.137 4.137 29 C -0.127 4.127 30 C -0.126 4.126 31 H 0.264 0.736 32 H 0.028 0.972 33 H 0.017 0.983 34 H 0.363 0.637 35 H 0.037 0.963 36 H 0.074 0.926 37 H 0.080 0.920 38 H 0.044 0.956 39 H 0.081 0.919 40 H 0.127 0.873 41 H 0.119 0.881 42 H 0.117 0.883 43 H 0.121 0.879 44 H 0.124 0.876 45 H 0.078 0.922 46 H 0.039 0.961 47 H 0.073 0.927 48 H 0.076 0.924 49 H 0.129 0.871 50 H 0.113 0.887 51 H 0.111 0.889 52 H 0.113 0.887 53 H 0.115 0.885 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 11.598 -17.839 2.936 21.479 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 N -0.537 5.537 2 C -0.130 4.130 3 Si 0.705 3.295 4 H -0.204 1.204 5 H -0.214 1.214 6 H -0.188 1.188 7 C -0.563 4.563 8 H 0.089 0.911 9 C -0.047 4.047 10 C 0.027 3.973 11 H 0.063 0.937 12 N -0.309 5.309 13 C -0.021 4.021 14 C -0.159 4.159 15 C -0.071 4.071 16 N -0.201 5.201 17 C 0.021 3.979 18 C -0.196 4.196 19 C -0.113 4.113 20 C -0.174 4.174 21 C -0.115 4.115 22 C -0.165 4.165 23 C -0.064 4.064 24 C -0.143 4.143 25 C -0.054 4.054 26 C -0.106 4.106 27 C -0.148 4.148 28 C -0.155 4.155 29 C -0.145 4.145 30 C -0.144 4.144 31 H 0.074 0.926 32 H 0.046 0.954 33 H 0.036 0.964 34 H 0.186 0.814 35 H 0.055 0.945 36 H 0.093 0.907 37 H 0.099 0.901 38 H 0.062 0.938 39 H 0.100 0.900 40 H 0.145 0.855 41 H 0.137 0.863 42 H 0.135 0.865 43 H 0.139 0.861 44 H 0.142 0.858 45 H 0.097 0.903 46 H 0.058 0.942 47 H 0.091 0.909 48 H 0.095 0.905 49 H 0.146 0.854 50 H 0.131 0.869 51 H 0.129 0.871 52 H 0.131 0.869 53 H 0.133 0.867 Dipole moment (debyes) X Y Z Total from point charges 12.217 -17.436 3.636 21.598 hybrid contribution -0.739 0.609 -1.263 1.585 sum 11.478 -16.827 2.372 20.507 Atomic orbital electron populations 1.69907 1.06304 1.27055 1.50480 1.24968 0.94661 0.99161 0.94193 0.86802 0.80523 0.83595 0.78553 1.20378 1.21388 1.18767 1.21008 0.89104 0.94352 1.51809 0.91142 1.19739 0.96974 0.90737 0.97245 1.20456 0.88824 0.97512 0.90487 0.93697 1.60449 1.39840 1.01767 1.28828 1.21534 0.94471 0.89326 0.96719 1.21808 1.00039 0.93025 1.00997 1.22249 0.88445 0.95941 1.00480 1.59011 1.10241 1.03997 1.46877 1.19070 0.93889 0.88487 0.96418 1.21368 0.97934 0.94869 1.05426 1.21000 0.98070 0.93801 0.98387 1.21030 0.92801 0.99643 1.03936 1.20993 0.97956 0.93856 0.98688 1.20810 0.97240 0.93994 1.04441 1.22272 0.95645 0.96808 0.91673 1.21709 0.97736 0.91451 1.03414 1.20200 0.96450 0.96068 0.92731 1.21055 0.92536 0.97753 0.99240 1.21131 0.95199 1.01247 0.97191 1.20986 0.99063 1.02118 0.93306 1.20979 0.93818 1.01523 0.98165 1.21059 0.94626 1.01332 0.97414 0.92637 0.95377 0.96426 0.81398 0.94504 0.90696 0.90141 0.93761 0.90034 0.85530 0.86258 0.86464 0.86140 0.85848 0.90348 0.94241 0.90853 0.90529 0.85355 0.86870 0.87090 0.86937 0.86688 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 N -0.90 -26.60 13.96 55.43 0.77 -25.83 16 2 C 0.07 2.01 5.47 -17.82 -0.10 1.91 16 3 Si 0.88 21.26 27.47 -169.99 -4.67 16.59 16 4 H -0.28 -6.69 7.11 56.52 0.40 -6.29 16 5 H -0.29 -6.95 7.11 56.52 0.40 -6.55 16 6 H -0.26 -6.20 6.54 56.52 0.37 -5.83 16 7 C -0.52 -13.87 8.67 -34.44 -0.30 -14.16 16 8 H 0.07 1.98 7.73 -52.48 -0.41 1.58 16 9 C -0.01 -0.21 3.62 -27.89 -0.10 -0.31 16 10 C 0.14 2.58 2.19 -68.86 -0.15 2.42 16 11 H 0.05 0.89 7.29 -51.92 -0.38 0.51 16 12 N -0.67 -11.62 5.43 -100.82 -0.55 -12.17 16 13 C 0.09 1.33 2.56 -67.59 -0.17 1.16 16 14 C -0.12 -1.62 5.36 -26.65 -0.14 -1.76 16 15 C 0.06 0.67 4.15 -3.83 -0.02 0.66 16 16 N -0.49 -5.95 4.70 -171.15 -0.80 -6.76 16 17 C 0.12 1.41 5.64 -83.79 -0.47 0.94 16 18 C -0.18 -1.92 8.82 -39.38 -0.35 -2.27 16 19 C -0.09 -0.91 10.04 -39.61 -0.40 -1.31 16 20 C -0.16 -1.42 10.04 -39.54 -0.40 -1.82 16 21 C -0.10 -0.91 10.04 -39.61 -0.40 -1.30 16 22 C -0.14 -1.56 9.16 -39.38 -0.36 -1.92 16 23 C 0.06 0.74 5.26 -3.83 -0.02 0.72 16 24 C -0.10 -1.41 4.98 -26.64 -0.13 -1.54 16 25 C -0.05 -0.90 2.96 -104.62 -0.31 -1.21 16 26 C -0.09 -1.39 8.70 -39.59 -0.34 -1.73 16 27 C -0.13 -1.79 10.05 -39.59 -0.40 -2.19 16 28 C -0.14 -1.78 10.05 -39.58 -0.40 -2.18 16 29 C -0.13 -1.72 10.05 -39.58 -0.40 -2.12 16 30 C -0.13 -1.95 9.66 -39.58 -0.38 -2.33 16 31 H 0.26 7.38 8.31 -40.82 -0.34 7.04 16 32 H 0.03 0.66 7.20 -51.93 -0.37 0.28 16 33 H 0.02 0.41 7.57 -51.93 -0.39 0.02 16 34 H 0.36 6.98 6.84 -39.29 -0.27 6.71 16 35 H 0.04 0.60 7.43 -51.93 -0.39 0.21 16 36 H 0.07 1.04 8.14 -51.93 -0.42 0.62 16 37 H 0.08 1.11 8.14 -51.93 -0.42 0.69 16 38 H 0.04 0.53 7.75 -51.93 -0.40 0.13 16 39 H 0.08 0.90 6.97 -51.93 -0.36 0.54 16 40 H 0.13 1.28 5.81 -52.48 -0.30 0.98 16 41 H 0.12 0.91 8.06 -52.49 -0.42 0.48 16 42 H 0.12 0.82 8.06 -52.49 -0.42 0.40 16 43 H 0.12 0.86 8.06 -52.48 -0.42 0.44 16 44 H 0.12 1.22 7.15 -52.48 -0.38 0.85 16 45 H 0.08 0.87 6.71 -51.93 -0.35 0.52 16 46 H 0.04 0.49 8.14 -51.93 -0.42 0.07 16 47 H 0.07 1.06 6.16 -51.93 -0.32 0.74 16 48 H 0.08 1.09 8.14 -51.93 -0.42 0.67 16 49 H 0.13 2.10 7.73 -52.49 -0.41 1.69 16 50 H 0.11 1.33 8.06 -52.49 -0.42 0.90 16 51 H 0.11 1.18 8.06 -52.48 -0.42 0.76 16 52 H 0.11 1.27 8.06 -52.49 -0.42 0.85 16 53 H 0.12 1.70 8.04 -52.49 -0.42 1.27 16 LS Contribution 409.35 15.07 6.17 6.17 Total: -1.00 -28.71 409.35 -13.35 -42.06 By element: Atomic # 1 Polarization: 18.81 SS G_CDS: -8.54 Total: 10.27 kcal Atomic # 6 Polarization: -24.60 SS G_CDS: -5.74 Total: -30.34 kcal Atomic # 7 Polarization: -44.18 SS G_CDS: -0.58 Total: -44.75 kcal Atomic # 14 Polarization: 21.26 SS G_CDS: -4.67 Total: 16.59 kcal Total LS contribution 6.17 Total: 6.17 kcal Total: -28.71 -13.35 -42.06 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. ZINC000090665762.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 97.767 kcal (2) G-P(sol) polarization free energy of solvation -28.709 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 69.058 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -13.354 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.063 kcal (6) G-S(sol) free energy of system = (1) + (5) 55.705 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.16 seconds