Wall clock time and date at job start Sat Apr 11 2020 06:10:31 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 1.53005 * 1 3 3 O 1.42906 * 109.46641 * 2 1 4 4 C 1.42898 * 113.99509 * 184.35084 * 3 2 1 5 5 H 1.08991 * 109.47383 * 22.03439 * 4 3 2 6 6 C 1.50699 * 109.46852 * 142.03514 * 4 3 2 7 7 O 1.21284 * 120.00189 * 17.46938 * 6 4 3 8 8 N 1.34778 * 119.99905 * 197.74531 * 6 4 3 9 9 C 1.46497 * 120.00105 * 355.03580 * 8 6 4 10 10 C 1.50704 * 109.47034 * 95.02811 * 9 8 6 11 11 H 1.07998 * 119.99815 * 0.02562 * 10 9 8 12 12 C 1.37875 * 119.99948 * 179.97438 * 10 9 8 13 13 N 1.31517 * 119.99924 * 0.02562 * 12 10 9 14 14 Si 1.86801 * 120.00185 * 179.97438 * 12 10 9 15 15 H 1.48509 * 109.46902 * 90.00201 * 14 12 10 16 16 H 1.48492 * 109.47186 * 210.00346 * 14 12 10 17 17 H 1.48501 * 109.46889 * 330.00513 * 14 12 10 18 18 C 1.46506 * 119.99792 * 175.03125 * 8 6 4 19 19 C 1.53000 * 109.46935 * 90.00503 * 18 8 6 20 20 N 1.46901 * 109.47285 * 180.02562 * 19 18 8 21 21 C 1.47013 * 110.99632 * 293.63243 * 20 19 18 22 22 C 1.53095 * 109.25760 * 177.60503 * 21 20 19 23 23 O 1.43022 * 109.25740 * 56.85418 * 22 21 20 24 24 C 1.43019 * 113.73277 * 301.32871 * 23 22 21 25 25 C 1.47016 * 111.00081 * 169.99931 * 20 19 18 26 26 C 1.52998 * 109.47157 * 262.03346 * 4 3 2 27 27 C 1.53000 * 117.49910 * 13.93945 * 26 4 3 28 28 C 1.53007 * 117.50000 * 305.28025 * 26 4 3 29 29 H 1.09003 * 109.47423 * 299.99999 * 1 2 3 30 30 H 1.09002 * 109.46949 * 60.00448 * 1 2 3 31 31 H 1.09005 * 109.46757 * 180.02562 * 1 2 3 32 32 H 1.08990 * 109.47269 * 239.99926 * 2 1 3 33 33 H 1.09002 * 109.46949 * 119.99552 * 2 1 3 34 34 H 1.08997 * 109.47036 * 215.02869 * 9 8 6 35 35 H 1.08996 * 109.46849 * 335.03239 * 9 8 6 36 36 H 0.97003 * 120.00064 * 179.97438 * 13 12 10 37 37 H 1.08996 * 109.46744 * 209.99862 * 18 8 6 38 38 H 1.08992 * 109.47377 * 330.00463 * 18 8 6 39 39 H 1.09001 * 109.47090 * 299.99985 * 19 18 8 40 40 H 1.09002 * 109.47218 * 59.99299 * 19 18 8 41 41 H 1.09003 * 109.50824 * 297.54244 * 21 20 19 42 42 H 1.08997 * 109.50910 * 57.67382 * 21 20 19 43 43 H 1.08999 * 109.51023 * 296.91612 * 22 21 20 44 44 H 1.09004 * 109.54288 * 176.80148 * 22 21 20 45 45 H 1.09004 * 109.50457 * 298.73464 * 24 23 22 46 46 H 1.09004 * 109.53953 * 178.62952 * 24 23 22 47 47 H 1.08991 * 109.50449 * 302.32673 * 25 20 19 48 48 H 1.09002 * 109.50195 * 62.41481 * 25 20 19 49 49 H 1.08997 * 115.55094 * 159.61267 * 26 4 3 50 50 H 1.08999 * 117.49775 * 0.02562 * 27 26 4 51 51 H 1.09003 * 117.49621 * 145.02028 * 27 26 4 52 52 H 1.08995 * 117.50038 * 214.98374 * 28 26 4 53 53 H 1.09005 * 117.49339 * 0.02562 * 28 26 4 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 2.0063 1.3474 0.0000 4 6 3.4273 1.4615 -0.0990 5 1 3.8352 0.5511 -0.5380 6 6 3.7770 2.6399 -0.9708 7 8 2.9459 3.4932 -1.1991 8 7 5.0116 2.7427 -1.5015 9 6 6.0459 1.7685 -1.1443 10 6 6.0840 0.6740 -2.1795 11 1 5.4059 0.7015 -3.0197 12 6 6.9852 -0.3619 -2.0546 13 7 7.8112 -0.3952 -1.0317 14 14 7.0320 -1.7191 -3.3374 15 1 7.9851 -1.3493 -4.4146 16 1 7.4716 -2.9867 -2.7011 17 1 5.6765 -1.8999 -3.9163 18 6 5.3194 3.8286 -2.4356 19 6 5.8317 5.0416 -1.6564 20 7 6.1397 6.1307 -2.5929 21 6 7.2731 5.7757 -3.4593 22 6 7.5212 6.9105 -4.4565 23 8 7.7480 8.1271 -3.7397 24 6 6.6636 8.5032 -2.8864 25 6 6.4068 7.3846 -1.8733 26 6 4.0210 1.6653 1.2962 27 6 3.1151 1.3861 2.4972 28 6 3.4796 2.8272 2.1316 29 1 -0.3634 0.5138 0.8900 30 1 -0.3633 0.5138 -0.8900 31 1 -0.3633 -1.0277 0.0005 32 1 1.8934 -0.5138 -0.8899 33 1 1.8934 -0.5138 0.8900 34 1 7.0151 2.2656 -1.1052 35 1 5.8184 1.3384 -0.1690 36 1 8.4450 -1.1242 -0.9436 37 1 6.0849 3.4979 -3.1375 38 1 4.4180 4.1029 -2.9835 39 1 5.0662 5.3722 -0.9544 40 1 6.7331 4.7672 -1.1084 41 1 8.1642 5.6255 -2.8497 42 1 7.0435 4.8584 -4.0015 43 1 6.6502 7.0250 -5.1017 44 1 8.3959 6.6775 -5.0638 45 1 5.7676 8.6641 -3.4860 46 1 6.9175 9.4220 -2.3576 47 1 5.5448 7.6417 -1.2579 48 1 7.2836 7.2598 -1.2379 49 1 5.0790 1.4233 1.3969 50 1 2.0963 1.0568 2.2933 51 1 3.5773 0.9607 3.3880 52 1 4.1813 3.3493 2.7820 53 1 2.7000 3.4461 1.6873 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 ZINC000599230240.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 06:10:31 Heat of formation + Delta-G solvation = -91.417399 kcal Electronic energy + Delta-G solvation = -31787.716281 eV Core-core repulsion = 27660.789867 eV Total energy + Delta-G solvation = -4126.926415 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.16 seconds Orbital eigenvalues (eV) -39.87147 -39.41974 -37.74509 -36.01079 -35.70638 -34.76943 -32.66886 -31.28170 -31.16360 -30.01526 -27.60209 -27.29768 -25.47344 -24.01074 -23.12340 -22.74961 -22.15369 -21.85309 -20.54971 -20.27088 -18.50274 -16.83342 -16.64960 -16.48413 -16.30113 -16.14288 -15.96857 -15.19321 -15.09985 -14.99335 -14.65974 -14.56085 -14.49823 -14.18289 -13.61868 -13.49032 -13.18091 -12.68097 -12.51998 -12.33418 -12.28134 -12.13928 -11.98998 -11.93784 -11.55315 -11.43586 -11.36418 -11.16360 -11.03009 -11.01306 -10.86114 -10.79082 -10.66809 -10.40489 -10.27023 -10.10660 -10.02593 -9.80809 -9.65911 -9.37864 -8.75215 -8.58310 -8.32869 -7.76047 -6.26857 -4.34873 3.16319 3.23977 3.25268 3.32224 3.38526 3.79021 3.95731 4.07372 4.23942 4.50252 4.86781 5.00286 5.01937 5.04323 5.06052 5.13455 5.19513 5.25453 5.27043 5.27823 5.38770 5.44148 5.53538 5.56800 5.57607 5.65015 5.67061 5.73744 5.77701 5.84621 5.87695 5.93541 5.96373 5.97149 5.98755 6.07307 6.17208 6.24053 6.28392 6.44055 6.45348 6.50863 6.68826 7.00563 7.05962 7.09896 7.12015 7.37886 7.59342 7.67582 7.96159 8.28385 8.71481 8.99263 9.33865 10.79486 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.008107 B = 0.004034 C = 0.003046 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3452.793462 B = 6939.235452 C = 9189.734734 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.148 4.148 2 C 0.052 3.948 3 O -0.360 6.360 4 C 0.105 3.895 5 H 0.105 0.895 6 C 0.524 3.476 7 O -0.551 6.551 8 N -0.593 5.593 9 C 0.230 3.770 10 C -0.542 4.542 11 H 0.062 0.938 12 C 0.067 3.933 13 N -0.890 5.890 14 Si 0.895 3.105 15 H -0.278 1.278 16 H -0.284 1.284 17 H -0.272 1.272 18 C 0.129 3.871 19 C 0.045 3.955 20 N -0.533 5.533 21 C 0.012 3.988 22 C 0.065 3.935 23 O -0.389 6.389 24 C 0.065 3.935 25 C 0.019 3.981 26 C -0.171 4.171 27 C -0.169 4.169 28 C -0.169 4.169 29 H 0.060 0.940 30 H 0.062 0.938 31 H 0.067 0.933 32 H 0.051 0.949 33 H 0.050 0.950 34 H 0.033 0.967 35 H 0.046 0.954 36 H 0.266 0.734 37 H 0.078 0.922 38 H 0.078 0.922 39 H 0.077 0.923 40 H 0.037 0.963 41 H 0.044 0.956 42 H 0.093 0.907 43 H 0.059 0.941 44 H 0.097 0.903 45 H 0.059 0.941 46 H 0.095 0.905 47 H 0.085 0.915 48 H 0.041 0.959 49 H 0.124 0.876 50 H 0.099 0.901 51 H 0.089 0.911 52 H 0.088 0.912 53 H 0.098 0.902 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.476 7.455 1.744 8.869 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 -0.205 4.205 2 C -0.025 4.025 3 O -0.278 6.278 4 C 0.044 3.956 5 H 0.122 0.878 6 C 0.311 3.689 7 O -0.430 6.430 8 N -0.325 5.325 9 C 0.111 3.889 10 C -0.580 4.580 11 H 0.080 0.920 12 C -0.136 4.136 13 N -0.528 5.528 14 Si 0.722 3.278 15 H -0.204 1.204 16 H -0.210 1.210 17 H -0.197 1.197 18 C 0.006 3.994 19 C -0.084 4.084 20 N -0.259 5.259 21 C -0.116 4.116 22 C -0.012 4.012 23 O -0.308 6.308 24 C -0.012 4.012 25 C -0.110 4.110 26 C -0.189 4.189 27 C -0.206 4.206 28 C -0.206 4.206 29 H 0.079 0.921 30 H 0.081 0.919 31 H 0.086 0.914 32 H 0.069 0.931 33 H 0.068 0.932 34 H 0.051 0.949 35 H 0.064 0.936 36 H 0.076 0.924 37 H 0.096 0.904 38 H 0.097 0.903 39 H 0.095 0.905 40 H 0.056 0.944 41 H 0.062 0.938 42 H 0.111 0.889 43 H 0.077 0.923 44 H 0.115 0.885 45 H 0.077 0.923 46 H 0.113 0.887 47 H 0.103 0.897 48 H 0.059 0.941 49 H 0.141 0.859 50 H 0.117 0.883 51 H 0.108 0.892 52 H 0.106 0.894 53 H 0.117 0.883 Dipole moment (debyes) X Y Z Total from point charges -5.124 8.118 1.407 9.703 hybrid contribution 1.026 -1.545 -0.055 1.855 sum -4.098 6.573 1.352 7.863 Atomic orbital electron populations 1.21715 0.94038 1.01761 1.02973 1.22602 0.95195 0.84242 1.00480 1.87932 1.19834 1.25788 1.94237 1.21364 0.81830 0.98937 0.93428 0.87770 1.20175 0.82018 0.86583 0.80139 1.90608 1.49006 1.41935 1.61405 1.48076 1.11665 1.28540 1.44251 1.19599 0.85900 0.86440 0.96985 1.21510 1.19723 1.07195 1.09611 0.92020 1.24931 0.95002 0.98006 0.95696 1.69915 1.21020 1.32728 1.29096 0.86543 0.78608 0.81175 0.81483 1.20430 1.21006 1.19722 1.21146 1.01314 0.85494 0.91492 1.22503 1.00017 0.91285 0.94549 1.62148 1.38286 1.03287 1.22160 1.22879 0.92657 0.99574 0.96507 1.22681 1.01766 0.83403 0.93376 1.87956 1.41798 1.41299 1.59735 1.22642 0.90339 0.96437 0.91764 1.22756 1.00982 0.90905 0.96347 1.22797 0.99834 1.05197 0.91093 1.22907 1.00673 0.99272 0.97780 1.22870 1.03504 0.91269 1.02946 0.92103 0.91906 0.91402 0.93095 0.93165 0.94871 0.93597 0.92447 0.90384 0.90313 0.90490 0.94439 0.93772 0.88879 0.92267 0.88525 0.92295 0.88725 0.89702 0.94085 0.85853 0.88283 0.89216 0.89356 0.88330 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -1.78 10.28 37.16 0.38 -1.40 16 2 C 0.05 0.76 5.85 37.16 0.22 0.98 16 3 O -0.36 -6.57 8.29 -54.51 -0.45 -7.02 16 4 C 0.11 2.02 2.14 -27.88 -0.06 1.96 16 5 H 0.10 2.12 6.69 -51.93 -0.35 1.77 16 6 C 0.52 11.10 6.74 -10.99 -0.07 11.03 16 7 O -0.55 -12.86 16.22 -13.72 -0.22 -13.09 16 8 N -0.59 -12.25 2.46 -175.06 -0.43 -12.68 16 9 C 0.23 5.22 4.78 -5.19 -0.02 5.20 16 10 C -0.54 -13.48 9.06 -34.44 -0.31 -13.79 16 11 H 0.06 1.57 7.81 -52.49 -0.41 1.16 16 12 C 0.07 1.70 5.46 -17.82 -0.10 1.60 16 13 N -0.89 -23.50 13.29 55.43 0.74 -22.76 16 14 Si 0.89 19.85 29.54 -169.99 -5.02 14.82 16 15 H -0.28 -6.17 7.11 56.52 0.40 -5.76 16 16 H -0.28 -6.28 7.11 56.52 0.40 -5.88 16 17 H -0.27 -6.02 7.11 56.52 0.40 -5.62 16 18 C 0.13 2.41 5.33 -4.04 -0.02 2.39 16 19 C 0.05 0.75 5.28 -3.82 -0.02 0.73 16 20 N -0.53 -7.77 4.73 -234.31 -1.11 -8.87 16 21 C 0.01 0.16 5.44 -3.71 -0.02 0.14 16 22 C 0.06 0.77 7.01 37.21 0.26 1.03 16 23 O -0.39 -5.08 10.83 -35.23 -0.38 -5.46 16 24 C 0.07 0.73 7.01 37.21 0.26 0.99 16 25 C 0.02 0.23 5.64 -3.71 -0.02 0.21 16 26 C -0.17 -2.92 5.14 -90.62 -0.47 -3.38 16 27 C -0.17 -2.45 9.59 -26.69 -0.26 -2.70 16 28 C -0.17 -2.64 9.88 -26.69 -0.26 -2.90 16 29 H 0.06 0.70 8.14 -51.93 -0.42 0.28 16 30 H 0.06 0.79 8.14 -51.93 -0.42 0.37 16 31 H 0.07 0.66 8.14 -51.93 -0.42 0.23 16 32 H 0.05 0.76 8.01 -51.93 -0.42 0.35 16 33 H 0.05 0.68 7.27 -51.93 -0.38 0.30 16 34 H 0.03 0.80 8.11 -51.93 -0.42 0.38 16 35 H 0.05 1.05 4.45 -51.93 -0.23 0.82 16 36 H 0.27 6.72 8.31 -40.82 -0.34 6.38 16 37 H 0.08 1.44 6.45 -51.93 -0.33 1.10 16 38 H 0.08 1.54 7.49 -51.93 -0.39 1.15 16 39 H 0.08 1.35 8.04 -51.93 -0.42 0.93 16 40 H 0.04 0.64 8.12 -51.93 -0.42 0.22 16 41 H 0.04 0.63 8.14 -51.93 -0.42 0.21 16 42 H 0.09 1.27 6.38 -51.93 -0.33 0.93 16 43 H 0.06 0.68 8.14 -51.93 -0.42 0.25 16 44 H 0.10 0.97 8.14 -51.93 -0.42 0.55 16 45 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 46 H 0.09 0.85 8.14 -51.93 -0.42 0.43 16 47 H 0.08 1.00 8.09 -51.93 -0.42 0.58 16 48 H 0.04 0.53 8.14 -51.93 -0.42 0.11 16 49 H 0.12 2.21 6.42 -51.93 -0.33 1.87 16 50 H 0.10 1.42 6.06 -51.93 -0.31 1.10 16 51 H 0.09 1.14 8.14 -51.93 -0.42 0.72 16 52 H 0.09 1.24 8.14 -51.93 -0.42 0.82 16 53 H 0.10 1.70 8.14 -51.93 -0.42 1.28 16 LS Contribution 416.69 15.07 6.28 6.28 Total: -1.00 -28.99 416.69 -10.49 -39.48 By element: Atomic # 1 Polarization: 16.62 SS G_CDS: -9.37 Total: 7.25 kcal Atomic # 6 Polarization: 2.58 SS G_CDS: -0.52 Total: 2.07 kcal Atomic # 7 Polarization: -43.52 SS G_CDS: -0.80 Total: -44.32 kcal Atomic # 8 Polarization: -24.52 SS G_CDS: -1.06 Total: -25.57 kcal Atomic # 14 Polarization: 19.85 SS G_CDS: -5.02 Total: 14.82 kcal Total LS contribution 6.28 Total: 6.28 kcal Total: -28.99 -10.49 -39.48 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. ZINC000599230240.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 -51.941 kcal (2) G-P(sol) polarization free energy of solvation -28.989 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -80.930 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.488 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.477 kcal (6) G-S(sol) free energy of system = (1) + (5) -91.417 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.16 seconds