Wall clock time and date at job start Sat Apr 11 2020 06:12:50 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 1.53006 * 1 3 3 N 1.46500 * 109.47111 * 2 1 4 4 C 1.34775 * 119.99461 * 269.99373 * 3 2 1 5 5 O 1.21290 * 119.99408 * 179.97438 * 4 3 2 6 6 C 1.50699 * 120.00510 * 0.02562 * 4 3 2 7 7 N 1.46497 * 109.47019 * 179.97438 * 6 4 3 8 8 C 1.36937 * 120.00288 * 90.00093 * 7 6 4 9 9 H 1.07991 * 120.00144 * 7.75812 * 8 7 6 10 10 C 1.38819 * 119.99869 * 187.77109 * 8 7 6 11 11 N 1.31620 * 120.00100 * 25.65938 * 10 8 7 12 12 Si 1.86799 * 119.99698 * 205.66783 * 10 8 7 13 13 H 1.48500 * 109.47034 * 84.98128 * 12 10 8 14 14 H 1.48500 * 109.47256 * 204.98303 * 12 10 8 15 15 H 1.48502 * 109.47206 * 324.98203 * 12 10 8 16 16 C 1.46507 * 119.99551 * 269.99119 * 7 6 4 17 17 C 1.53003 * 109.46604 * 84.02097 * 16 7 6 18 18 C 1.50700 * 109.46917 * 179.97438 * 17 16 7 19 19 O 1.20825 * 120.00036 * 359.97438 * 18 17 16 20 20 O 1.34230 * 120.00333 * 179.97438 * 18 17 16 21 21 C 1.45198 * 117.00343 * 180.02562 * 20 18 17 22 22 C 1.46493 * 120.00031 * 89.99709 * 3 2 1 23 23 C 1.53004 * 109.47011 * 119.99738 * 22 3 2 24 24 C 1.52998 * 109.47225 * 179.97438 * 23 22 3 25 25 C 1.53003 * 109.47084 * 300.00258 * 24 23 22 26 26 C 1.53004 * 109.47300 * 59.99788 * 25 24 23 27 27 C 1.52995 * 109.47314 * 239.99691 * 22 3 2 28 28 H 1.08998 * 109.46994 * 300.00334 * 1 2 3 29 29 H 1.08997 * 109.46682 * 60.00557 * 1 2 3 30 30 H 1.09004 * 109.47267 * 179.97438 * 1 2 3 31 31 H 1.08998 * 109.46994 * 239.99666 * 2 1 3 32 32 H 1.09000 * 109.46496 * 120.00194 * 2 1 3 33 33 H 1.09001 * 109.46801 * 299.99158 * 6 4 3 34 34 H 1.08993 * 109.47443 * 59.99428 * 6 4 3 35 35 H 0.96999 * 119.99971 * 180.02562 * 11 10 8 36 36 H 1.09004 * 109.47065 * 204.01414 * 16 7 6 37 37 H 1.08991 * 109.47453 * 324.01997 * 16 7 6 38 38 H 1.08997 * 109.47219 * 299.99466 * 17 16 7 39 39 H 1.09004 * 109.47172 * 59.99987 * 17 16 7 40 40 H 1.09003 * 109.47214 * 300.00060 * 21 20 18 41 41 H 1.08999 * 109.47185 * 59.99992 * 21 20 18 42 42 H 1.08997 * 109.47005 * 180.02562 * 21 20 18 43 43 H 1.08998 * 109.47364 * 0.02562 * 22 3 2 44 44 H 1.08994 * 109.47204 * 300.00249 * 23 22 3 45 45 H 1.08998 * 109.46750 * 60.00000 * 23 22 3 46 46 H 1.08993 * 109.47327 * 180.02562 * 24 23 22 47 47 H 1.08998 * 109.47154 * 59.99774 * 24 23 22 48 48 H 1.08998 * 109.47141 * 300.00123 * 25 24 23 49 49 H 1.09002 * 109.47648 * 179.97438 * 25 24 23 50 50 H 1.08994 * 109.47204 * 179.97438 * 26 25 24 51 51 H 1.08998 * 109.46750 * 60.00096 * 26 25 24 52 52 H 1.08998 * 109.47250 * 300.00493 * 27 22 3 53 53 H 1.09002 * 109.47061 * 60.00045 * 27 22 3 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 1.5301 0.0000 0.0000 3 7 2.0184 1.3812 0.0000 4 6 2.2431 2.0164 -1.1672 5 8 2.6470 3.1601 -1.1672 6 6 1.9915 1.3061 -2.4723 7 7 2.3085 2.2038 -3.5858 8 6 3.5747 2.2281 -4.1067 9 1 4.3052 1.5010 -3.7843 10 6 3.9193 3.1875 -5.0489 11 7 3.2759 4.3352 -5.0852 12 14 5.2960 2.8496 -6.2654 13 1 4.7553 2.1043 -7.4304 14 1 5.8759 4.1365 -6.7268 15 1 6.3515 2.0394 -5.6060 16 6 1.2706 3.0754 -4.1422 17 6 1.1740 4.3522 -3.3046 18 6 0.1069 5.2491 -3.8772 19 8 -0.5124 4.9029 -4.8552 20 8 -0.1556 6.4325 -3.3008 21 6 -1.1966 7.2440 -3.9058 22 6 2.2625 2.0718 1.2687 23 6 3.7335 2.4847 1.3498 24 6 3.9884 3.2065 2.6745 25 6 3.1038 4.4523 2.7548 26 6 1.6328 4.0395 2.6737 27 6 1.3780 3.3176 1.3497 28 1 -0.3633 0.5139 0.8899 29 1 -0.3632 0.5137 -0.8900 30 1 -0.3634 -1.0277 -0.0005 31 1 1.8934 -0.5139 -0.8899 32 1 1.8933 -0.5139 0.8900 33 1 2.6215 0.4185 -2.5302 34 1 0.9435 1.0123 -2.5300 35 1 3.5165 5.0054 -5.7438 36 1 1.5257 3.3337 -5.1701 37 1 0.3125 2.5563 -4.1251 38 1 0.9190 4.0940 -2.2768 39 1 2.1323 4.8714 -3.3218 40 1 -0.9254 7.4738 -4.9363 41 1 -2.1387 6.6960 -3.8917 42 1 -1.3069 8.1715 -3.3440 43 1 2.0268 1.4039 2.0972 44 1 4.3637 1.5972 1.2921 45 1 3.9696 3.1524 0.5213 46 1 5.0362 3.5010 2.7321 47 1 3.7521 2.5391 3.5032 48 1 3.3400 5.1197 1.9261 49 1 3.2850 4.9664 3.6988 50 1 1.0026 4.9269 2.7314 51 1 1.3965 3.3721 3.5025 52 1 1.6141 3.9853 0.5211 53 1 0.3300 3.0235 1.2919 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 ZINC000879475795.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 06:12:50 Heat of formation + Delta-G solvation = -103.822108 kcal Electronic energy + Delta-G solvation = -32741.792561 eV Core-core repulsion = 28614.328238 eV Total energy + Delta-G solvation = -4127.464323 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.08 seconds Orbital eigenvalues (eV) -39.94550 -39.53717 -37.44683 -36.00039 -35.38052 -35.01273 -31.51347 -30.92755 -30.58795 -30.39684 -28.73547 -27.24905 -26.39214 -24.12617 -23.13066 -22.58230 -22.36483 -21.09031 -19.83908 -19.58411 -18.30110 -17.10840 -16.50466 -16.24216 -16.05697 -15.75196 -15.50336 -14.95479 -14.65956 -14.49537 -14.03806 -13.89701 -13.61826 -13.58307 -13.40759 -13.12524 -12.87619 -12.75451 -12.61201 -12.21665 -12.15622 -12.01404 -11.82479 -11.69608 -11.55498 -11.36148 -11.22210 -11.07832 -10.94118 -10.88533 -10.72610 -10.59395 -10.51796 -10.18174 -10.13672 -10.06285 -9.99286 -9.85685 -9.53687 -9.45458 -8.80931 -8.30909 -8.11198 -6.98923 -5.80502 -3.09862 3.17995 3.39155 3.45016 3.49423 3.50399 3.51127 3.59412 4.50163 4.81113 4.92262 4.99007 5.10967 5.16626 5.29613 5.34804 5.40190 5.45402 5.46491 5.48871 5.54414 5.55389 5.66433 5.68888 5.70628 5.71379 5.74468 5.81748 5.90889 5.92590 6.09014 6.11197 6.11746 6.18087 6.20077 6.28641 6.32080 6.39114 6.45737 6.47155 6.63336 6.68576 6.78505 6.83643 7.14644 7.16811 7.58047 7.73805 7.91055 8.01628 8.29694 8.68104 9.07351 9.18309 9.79522 10.21990 11.25366 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.008312 B = 0.004670 C = 0.003846 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3367.690595 B = 5994.212861 C = 7278.055819 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.171 4.171 2 C 0.110 3.890 3 N -0.627 5.627 4 C 0.475 3.525 5 O -0.501 6.501 6 C 0.128 3.872 7 N -0.565 5.565 8 C -0.250 4.250 9 H 0.076 0.924 10 C 0.004 3.996 11 N -0.893 5.893 12 Si 0.902 3.098 13 H -0.288 1.288 14 H -0.293 1.293 15 H -0.282 1.282 16 C 0.185 3.815 17 C -0.108 4.108 18 C 0.468 3.532 19 O -0.528 6.528 20 O -0.369 6.369 21 C 0.035 3.965 22 C 0.158 3.842 23 C -0.136 4.136 24 C -0.112 4.112 25 C -0.120 4.120 26 C -0.112 4.112 27 C -0.135 4.135 28 H 0.053 0.947 29 H 0.060 0.940 30 H 0.061 0.939 31 H 0.079 0.921 32 H 0.068 0.932 33 H 0.075 0.925 34 H 0.068 0.932 35 H 0.254 0.746 36 H 0.102 0.898 37 H 0.014 0.986 38 H 0.070 0.930 39 H 0.141 0.859 40 H 0.056 0.944 41 H 0.053 0.947 42 H 0.089 0.911 43 H 0.069 0.931 44 H 0.054 0.946 45 H 0.091 0.909 46 H 0.059 0.941 47 H 0.054 0.946 48 H 0.066 0.934 49 H 0.055 0.945 50 H 0.059 0.941 51 H 0.054 0.946 52 H 0.090 0.910 53 H 0.053 0.947 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.873 -4.183 14.180 15.908 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 -0.229 4.229 2 C -0.014 4.014 3 N -0.364 5.364 4 C 0.261 3.739 5 O -0.374 6.374 6 C -0.004 4.004 7 N -0.283 5.283 8 C -0.378 4.378 9 H 0.094 0.906 10 C -0.194 4.194 11 N -0.538 5.538 12 Si 0.732 3.268 13 H -0.215 1.215 14 H -0.220 1.220 15 H -0.208 1.208 16 C 0.060 3.940 17 C -0.148 4.148 18 C 0.313 3.687 19 O -0.417 6.417 20 O -0.287 6.287 21 C -0.059 4.059 22 C 0.054 3.946 23 C -0.174 4.174 24 C -0.150 4.150 25 C -0.158 4.158 26 C -0.150 4.150 27 C -0.173 4.173 28 H 0.072 0.928 29 H 0.079 0.921 30 H 0.080 0.920 31 H 0.097 0.903 32 H 0.086 0.914 33 H 0.093 0.907 34 H 0.085 0.915 35 H 0.065 0.935 36 H 0.120 0.880 37 H 0.032 0.968 38 H 0.089 0.911 39 H 0.159 0.841 40 H 0.075 0.925 41 H 0.072 0.928 42 H 0.108 0.892 43 H 0.088 0.912 44 H 0.073 0.927 45 H 0.110 0.890 46 H 0.078 0.922 47 H 0.073 0.927 48 H 0.085 0.915 49 H 0.074 0.926 50 H 0.078 0.922 51 H 0.073 0.927 52 H 0.108 0.892 53 H 0.072 0.928 Dipole moment (debyes) X Y Z Total from point charges -5.796 -3.501 13.677 15.261 hybrid contribution 0.503 0.091 -0.420 0.662 sum -5.292 -3.410 13.257 14.676 Atomic orbital electron populations 1.22238 0.96539 1.01680 1.02490 1.21440 0.93982 0.83369 1.02602 1.48639 1.68091 1.13765 1.05941 1.23312 0.76662 0.88142 0.85767 1.90614 1.42621 1.17584 1.86533 1.21067 0.99774 0.94484 0.85062 1.44272 1.08995 1.43328 1.31674 1.19221 0.89364 1.11437 1.17827 0.90597 1.24705 0.98746 0.94805 1.01111 1.70044 1.43789 1.04279 1.35644 0.86299 0.81334 0.77077 0.82059 1.21481 1.21970 1.20782 1.20772 0.87581 0.86443 0.99240 1.22463 0.96927 0.96391 0.99006 1.24961 0.82522 0.79642 0.81610 1.90541 1.50500 1.74043 1.26588 1.86612 1.53848 1.31632 1.56578 1.23055 0.89867 0.94149 0.98854 1.20864 0.94798 0.93311 0.85624 1.21957 0.95696 1.00929 0.98859 1.21455 0.99350 0.96864 0.97312 1.21538 0.94988 0.97776 1.01455 1.21446 0.96469 0.99771 0.97310 1.21945 0.98557 0.97972 0.98858 0.92763 0.92142 0.92031 0.90292 0.91362 0.90685 0.91452 0.93537 0.88009 0.96770 0.91144 0.84138 0.92496 0.92803 0.89205 0.91250 0.92721 0.89043 0.92225 0.92741 0.91486 0.92625 0.92221 0.92737 0.89182 0.92777 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 -0.17 -1.69 10.24 37.16 0.38 -1.31 16 2 C 0.11 1.19 5.90 -4.04 -0.02 1.17 16 3 N -0.63 -9.02 2.42 -166.11 -0.40 -9.42 16 4 C 0.48 8.81 6.81 -10.99 -0.07 8.74 16 5 O -0.50 -11.14 10.24 5.55 0.06 -11.08 16 6 C 0.13 2.42 4.74 -5.20 -0.02 2.39 16 7 N -0.57 -13.39 2.12 -174.61 -0.37 -13.76 16 8 C -0.25 -6.54 9.70 -15.06 -0.15 -6.68 16 9 H 0.08 1.96 7.94 -52.49 -0.42 1.54 16 10 C 0.00 0.12 4.89 -17.43 -0.09 0.03 16 11 N -0.89 -24.89 8.63 55.49 0.48 -24.41 16 12 Si 0.90 21.55 29.62 -169.99 -5.04 16.51 16 13 H -0.29 -6.89 7.11 56.52 0.40 -6.49 16 14 H -0.29 -7.16 7.11 56.52 0.40 -6.76 16 15 H -0.28 -6.63 7.11 56.52 0.40 -6.23 16 16 C 0.19 4.50 4.21 -4.04 -0.02 4.48 16 17 C -0.11 -2.55 4.61 -27.88 -0.13 -2.68 16 18 C 0.47 10.58 7.96 36.01 0.29 10.87 16 19 O -0.53 -12.72 15.73 -18.75 -0.29 -13.02 16 20 O -0.37 -7.44 10.56 -39.26 -0.41 -7.85 16 21 C 0.04 0.54 10.56 101.05 1.07 1.61 16 22 C 0.16 2.12 2.55 -67.93 -0.17 1.95 16 23 C -0.14 -1.95 5.13 -26.73 -0.14 -2.09 16 24 C -0.11 -1.32 5.92 -26.73 -0.16 -1.48 16 25 C -0.12 -1.43 5.92 -26.73 -0.16 -1.59 16 26 C -0.11 -1.31 5.92 -26.76 -0.16 -1.47 16 27 C -0.14 -1.89 5.13 -26.76 -0.14 -2.03 16 28 H 0.05 0.54 8.14 -51.93 -0.42 0.12 16 29 H 0.06 0.69 7.22 -51.93 -0.37 0.31 16 30 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 31 H 0.08 0.83 6.44 -51.93 -0.33 0.50 16 32 H 0.07 0.62 7.92 -51.93 -0.41 0.21 16 33 H 0.08 1.31 7.29 -51.93 -0.38 0.94 16 34 H 0.07 1.13 6.99 -51.93 -0.36 0.77 16 35 H 0.25 7.04 8.31 -40.82 -0.34 6.70 16 36 H 0.10 2.81 5.78 -51.93 -0.30 2.51 16 37 H 0.01 0.32 7.94 -51.93 -0.41 -0.09 16 38 H 0.07 1.62 6.42 -51.93 -0.33 1.29 16 39 H 0.14 3.82 6.36 -51.93 -0.33 3.49 16 40 H 0.06 0.88 8.13 -51.93 -0.42 0.45 16 41 H 0.05 0.78 8.13 -51.93 -0.42 0.35 16 42 H 0.09 1.05 8.14 -51.93 -0.42 0.63 16 43 H 0.07 0.80 7.79 -51.93 -0.40 0.40 16 44 H 0.05 0.77 8.14 -51.93 -0.42 0.35 16 45 H 0.09 1.67 6.17 -51.93 -0.32 1.35 16 46 H 0.06 0.68 8.14 -51.93 -0.42 0.26 16 47 H 0.05 0.56 8.14 -51.93 -0.42 0.14 16 48 H 0.07 0.92 8.14 -51.93 -0.42 0.50 16 49 H 0.05 0.57 8.14 -51.93 -0.42 0.15 16 50 H 0.06 0.67 8.14 -51.93 -0.42 0.25 16 51 H 0.05 0.56 8.14 -51.93 -0.42 0.14 16 52 H 0.09 1.60 6.17 -51.93 -0.32 1.28 16 53 H 0.05 0.74 8.14 -51.93 -0.42 0.32 16 LS Contribution 405.41 15.07 6.11 6.11 Total: -1.00 -30.69 405.41 -8.89 -39.58 By element: Atomic # 1 Polarization: 14.77 SS G_CDS: -9.33 Total: 5.44 kcal Atomic # 6 Polarization: 11.59 SS G_CDS: 0.31 Total: 11.91 kcal Atomic # 7 Polarization: -47.30 SS G_CDS: -0.29 Total: -47.60 kcal Atomic # 8 Polarization: -31.30 SS G_CDS: -0.65 Total: -31.95 kcal Atomic # 14 Polarization: 21.55 SS G_CDS: -5.04 Total: 16.51 kcal Total LS contribution 6.11 Total: 6.11 kcal Total: -30.69 -8.89 -39.58 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. ZINC000879475795.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 -64.243 kcal (2) G-P(sol) polarization free energy of solvation -30.687 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -94.931 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.892 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.579 kcal (6) G-S(sol) free energy of system = (1) + (5) -103.822 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.08 seconds