Wall clock time and date at job start Wed Apr 1 2020 02:05:41 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 1.52997 * 1 3 3 C 1.52992 * 109.47482 * 2 1 4 4 F 1.39900 * 109.47010 * 239.99843 * 2 1 3 5 5 C 1.50706 * 109.47238 * 120.00339 * 2 1 3 6 6 O 1.21281 * 119.99816 * 249.99872 * 5 2 1 7 7 N 1.34777 * 120.00101 * 69.99430 * 5 2 1 8 8 C 1.46922 * 120.62742 * 359.72662 * 7 5 2 9 9 C 1.53625 * 108.54460 * 126.36799 * 8 7 5 10 10 C 1.53046 * 109.24153 * 54.84800 * 9 8 7 11 11 C 1.53005 * 109.44852 * 178.49952 * 10 9 8 12 12 O 1.42898 * 109.47163 * 295.06580 * 11 10 9 13 13 C 1.42896 * 114.00007 * 179.97438 * 12 11 10 14 14 H 1.08996 * 110.64269 * 333.14202 * 13 12 11 15 15 C 1.55161 * 110.72193 * 209.99648 * 13 12 11 16 16 C 1.54910 * 101.58309 * 206.13502 * 15 13 12 17 17 N 1.47423 * 104.83128 * 37.01186 * 16 15 13 18 18 C 1.36936 * 125.64755 * 155.83107 * 17 16 15 19 19 H 1.08003 * 120.00095 * 180.02562 * 18 17 16 20 20 C 1.38807 * 119.99993 * 0.03169 * 18 17 16 21 21 N 1.31620 * 120.00020 * 359.97438 * 20 18 17 22 22 Si 1.86807 * 120.00050 * 179.97438 * 20 18 17 23 23 H 1.48497 * 109.46995 * 359.97438 * 22 20 18 24 24 H 1.48502 * 109.47021 * 119.99684 * 22 20 18 25 25 H 1.48497 * 109.47100 * 239.99548 * 22 20 18 26 26 C 1.47020 * 108.70444 * 335.86877 * 17 16 15 27 27 C 1.53033 * 109.54109 * 298.51588 * 10 9 8 28 28 C 1.46922 * 120.62930 * 180.02562 * 7 5 2 29 29 H 1.09002 * 109.47153 * 59.99783 * 1 2 3 30 30 H 1.09001 * 109.46832 * 299.99974 * 1 2 3 31 31 H 1.09004 * 109.47261 * 179.97438 * 1 2 3 32 32 H 1.09001 * 109.47066 * 60.00169 * 3 2 1 33 33 H 1.08996 * 109.47747 * 179.97438 * 3 2 1 34 34 H 1.09002 * 109.47103 * 300.00247 * 3 2 1 35 35 H 1.09004 * 109.58868 * 246.19537 * 8 7 5 36 36 H 1.08999 * 109.59497 * 6.62338 * 8 7 5 37 37 H 1.08997 * 109.63332 * 294.86454 * 9 8 7 38 38 H 1.09002 * 109.46221 * 174.73658 * 9 8 7 39 39 H 1.09004 * 109.45472 * 58.53821 * 10 9 8 40 40 H 1.09000 * 109.47065 * 55.06040 * 11 10 9 41 41 H 1.08991 * 109.46743 * 175.06602 * 11 10 9 42 42 H 1.09000 * 111.00290 * 324.21097 * 15 13 12 43 43 H 1.09004 * 111.00098 * 88.05843 * 15 13 12 44 44 H 1.08998 * 110.36606 * 155.85076 * 16 15 13 45 45 H 1.08994 * 110.36542 * 278.17081 * 16 15 13 46 46 H 0.97006 * 120.00119 * 180.02562 * 21 20 18 47 47 H 1.08995 * 109.88479 * 241.64399 * 26 17 16 48 48 H 1.09006 * 109.88425 * 120.47505 * 26 17 16 49 49 H 1.09005 * 109.49777 * 301.41105 * 27 10 9 50 50 H 1.08999 * 109.49867 * 181.31398 * 27 10 9 51 51 H 1.09000 * 109.58598 * 353.37124 * 28 7 5 52 52 H 1.08998 * 109.58835 * 113.80447 * 28 7 5 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 6 2.0400 1.4424 0.0000 4 9 1.9963 -0.6595 -1.1423 5 6 2.0324 -0.7105 1.2305 6 8 2.5732 -0.0818 2.1154 7 7 1.8805 -2.0446 1.3475 8 6 1.2220 -2.8189 0.2867 9 6 2.1556 -3.9643 -0.1335 10 6 2.5338 -4.7855 1.1014 11 6 3.4337 -5.9500 0.6827 12 8 2.6980 -6.8428 -0.1562 13 6 3.4509 -7.9710 -0.6057 14 1 4.5143 -7.7343 -0.6404 15 6 2.9491 -8.4480 -1.9943 16 6 3.3467 -9.9450 -1.9714 17 7 3.1178 -10.3750 -0.5800 18 6 2.8774 -11.6595 -0.1710 19 1 2.7212 -11.8726 0.8762 20 6 2.8345 -12.6879 -1.1023 21 7 3.0245 -12.4283 -2.3786 22 14 2.5073 -14.4404 -0.5443 23 1 2.3295 -14.4654 0.9298 24 1 1.2752 -14.9470 -1.2006 25 1 3.6574 -15.3020 -0.9184 26 6 3.1895 -9.1962 0.2956 27 6 3.2809 -3.8966 2.0981 28 6 2.3646 -2.7511 2.5413 29 1 -0.3633 0.5139 -0.8900 30 1 -0.3633 0.5138 0.8900 31 1 -0.3634 -1.0277 -0.0005 32 1 1.6768 1.9562 0.8900 33 1 3.1300 1.4424 0.0005 34 1 1.6767 1.9563 -0.8900 35 1 0.2836 -3.2276 0.6614 36 1 1.0257 -2.1731 -0.5691 37 1 3.0575 -3.5538 -0.5875 38 1 1.6446 -4.6038 -0.8533 39 1 1.6296 -5.1752 1.5691 40 1 4.2951 -5.5654 0.1368 41 1 3.7743 -6.4831 1.5703 42 1 1.8687 -8.3319 -2.0802 43 1 3.4623 -7.9196 -2.7978 44 1 2.7162 -10.5154 -2.6534 45 1 4.3973 -10.0625 -2.2369 46 1 2.9942 -13.1469 -3.0295 47 1 4.0058 -9.3129 1.0084 48 1 2.2459 -9.0710 0.8268 49 1 4.1723 -3.4867 1.6230 50 1 3.5704 -4.4877 2.9669 51 1 2.9225 -2.0605 3.1735 52 1 1.5173 -3.1545 3.0958 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) F: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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 ZINC001088227891.mol2 52 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 02:05:41 Heat of formation + Delta-G solvation = -106.735561 kcal Electronic energy + Delta-G solvation = -30915.140338 eV Core-core repulsion = 26636.777894 eV Total energy + Delta-G solvation = -4278.362443 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 342.211 amu Computer time = 0.91 seconds Orbital eigenvalues (eV) -48.49162 -40.53521 -38.73268 -37.74210 -35.88934 -34.28620 -33.50783 -32.07200 -31.35498 -29.24993 -28.07087 -27.83738 -26.85945 -24.75479 -24.15729 -23.65882 -22.33659 -20.73811 -20.17662 -20.10887 -19.45390 -17.97800 -16.99160 -16.83704 -16.51307 -16.38683 -15.69871 -15.42329 -15.00417 -14.89903 -14.75764 -14.60285 -14.22430 -13.90164 -13.71948 -13.52752 -13.35314 -13.03209 -12.98367 -12.87069 -12.67733 -12.59214 -12.41999 -12.40072 -12.34469 -11.72887 -11.58985 -11.50416 -11.38350 -11.23203 -10.97602 -10.92039 -10.82584 -10.69049 -10.60819 -10.24479 -10.08741 -10.00725 -9.77413 -9.53693 -9.07276 -9.04573 -8.66067 -6.83887 -5.65701 -3.07576 2.02079 2.46181 3.39679 3.44899 3.47658 3.67189 3.83494 3.92188 4.11138 4.25411 4.45731 4.49387 4.57195 4.74480 4.79539 4.95628 4.98496 5.01879 5.07888 5.15991 5.18872 5.32405 5.35557 5.40660 5.43464 5.44949 5.47545 5.50660 5.52933 5.63288 5.64661 5.67922 5.71486 5.76639 5.79138 5.89818 5.95220 6.16432 6.21061 6.35687 6.54614 6.59693 6.66356 6.73512 6.91473 7.49291 7.60596 7.62806 7.65719 7.85189 8.35472 9.21500 9.82286 10.46735 11.38417 Molecular weight = 342.21amu Principal moments of inertia in cm(-1) A = 0.028442 B = 0.001895 C = 0.001838 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 984.223168 B =14772.201302 C =15228.589019 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.178 4.178 2 C 0.102 3.898 3 C -0.157 4.157 4 F -0.189 7.189 5 C 0.502 3.498 6 O -0.530 6.530 7 N -0.598 5.598 8 C 0.086 3.914 9 C -0.123 4.123 10 C -0.086 4.086 11 C 0.067 3.933 12 O -0.376 6.376 13 C 0.077 3.923 14 H 0.061 0.939 15 C -0.138 4.138 16 C 0.152 3.848 17 N -0.603 5.603 18 C -0.220 4.220 19 H 0.078 0.922 20 C -0.013 4.013 21 N -0.923 5.923 22 Si 0.916 3.084 23 H -0.280 1.280 24 H -0.290 1.290 25 H -0.291 1.291 26 C 0.119 3.881 27 C -0.128 4.128 28 C 0.111 3.889 29 H 0.083 0.917 30 H 0.082 0.918 31 H 0.078 0.922 32 H 0.084 0.916 33 H 0.073 0.927 34 H 0.076 0.924 35 H 0.072 0.928 36 H 0.103 0.897 37 H 0.067 0.933 38 H 0.089 0.911 39 H 0.082 0.918 40 H 0.044 0.956 41 H 0.048 0.952 42 H 0.070 0.930 43 H 0.060 0.940 44 H 0.110 0.890 45 H 0.013 0.987 46 H 0.252 0.748 47 H 0.019 0.981 48 H 0.033 0.967 49 H 0.069 0.931 50 H 0.080 0.920 51 H 0.094 0.906 52 H 0.072 0.928 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.903 27.159 4.930 27.877 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 -0.236 4.236 2 C 0.081 3.919 3 C -0.215 4.215 4 F -0.170 7.170 5 C 0.287 3.713 6 O -0.406 6.406 7 N -0.331 5.331 8 C -0.036 4.036 9 C -0.161 4.161 10 C -0.104 4.104 11 C -0.010 4.010 12 O -0.295 6.295 13 C 0.019 3.981 14 H 0.079 0.921 15 C -0.177 4.177 16 C 0.027 3.973 17 N -0.330 5.330 18 C -0.349 4.349 19 H 0.096 0.904 20 C -0.208 4.208 21 N -0.572 5.572 22 Si 0.746 3.254 23 H -0.205 1.205 24 H -0.217 1.217 25 H -0.218 1.218 26 C -0.008 4.008 27 C -0.166 4.166 28 C -0.011 4.011 29 H 0.102 0.898 30 H 0.101 0.899 31 H 0.097 0.903 32 H 0.103 0.897 33 H 0.092 0.908 34 H 0.095 0.905 35 H 0.091 0.909 36 H 0.121 0.879 37 H 0.085 0.915 38 H 0.108 0.892 39 H 0.100 0.900 40 H 0.063 0.937 41 H 0.066 0.934 42 H 0.088 0.912 43 H 0.079 0.921 44 H 0.128 0.872 45 H 0.031 0.969 46 H 0.063 0.937 47 H 0.037 0.963 48 H 0.051 0.949 49 H 0.088 0.912 50 H 0.099 0.901 51 H 0.112 0.888 52 H 0.090 0.910 Dipole moment (debyes) X Y Z Total from point charges -3.810 27.287 5.259 28.049 hybrid contribution 0.281 -1.178 0.279 1.243 sum -3.529 26.109 5.539 26.923 Atomic orbital electron populations 1.22525 0.91373 1.04784 1.04885 1.21177 0.96521 0.93528 0.80691 1.22164 1.03181 0.92113 1.04035 1.92859 1.90178 1.82082 1.51877 1.20818 0.79424 0.82459 0.88553 1.90713 1.42693 1.65483 1.41715 1.48160 1.57910 1.06339 1.20697 1.22408 0.95747 0.94609 0.90827 1.21956 1.00094 0.96068 0.98015 1.21128 0.99380 0.94032 0.95896 1.22467 0.94036 0.90455 0.94056 1.87892 1.39134 1.35319 1.67139 1.23223 0.94060 0.85110 0.95695 0.92061 1.23158 1.01348 0.99581 0.93628 1.21958 0.98917 0.88104 0.88317 1.44404 1.83914 1.02303 1.02345 1.19135 1.40672 0.82037 0.93021 0.90414 1.24805 1.02309 0.98232 0.95485 1.69792 1.56791 1.30458 1.00155 0.85977 0.77483 0.84290 0.77630 1.20527 1.21695 1.21758 1.21672 0.98227 0.87525 0.93336 1.21914 0.98665 0.96341 0.99711 1.21673 0.98284 0.94265 0.86844 0.89761 0.89918 0.90317 0.89720 0.90778 0.90530 0.90932 0.87862 0.91454 0.89235 0.89978 0.93749 0.93419 0.91175 0.92108 0.87191 0.96908 0.93741 0.96338 0.94902 0.91248 0.90145 0.88796 0.90957 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -0.18 -0.96 8.60 37.16 0.32 -0.64 16 2 C 0.10 0.81 1.20 -91.77 -0.11 0.70 16 3 C -0.16 -1.08 8.28 37.15 0.31 -0.77 16 4 F -0.19 -1.75 14.35 2.25 0.03 -1.71 16 5 C 0.50 5.16 6.77 -10.98 -0.07 5.09 16 6 O -0.53 -6.90 15.39 5.56 0.09 -6.81 16 7 N -0.60 -5.54 2.97 -172.48 -0.51 -6.06 16 8 C 0.09 0.71 4.91 -3.49 -0.02 0.69 16 9 C -0.12 -1.20 5.29 -26.38 -0.14 -1.34 16 10 C -0.09 -0.87 2.39 -90.58 -0.22 -1.08 16 11 C 0.07 0.84 5.15 37.16 0.19 1.03 16 12 O -0.38 -6.10 9.58 -35.23 -0.34 -6.44 16 13 C 0.08 1.42 3.45 -24.89 -0.09 1.33 16 14 H 0.06 1.06 7.82 -51.93 -0.41 0.65 16 15 C -0.14 -2.73 6.81 -24.58 -0.17 -2.90 16 16 C 0.15 3.75 5.89 -2.53 -0.01 3.73 16 17 N -0.60 -15.88 3.39 -170.08 -0.58 -16.45 16 18 C -0.22 -6.25 10.27 -15.06 -0.15 -6.41 16 19 H 0.08 2.14 7.83 -52.48 -0.41 1.72 16 20 C -0.01 -0.37 5.49 -17.43 -0.10 -0.47 16 21 N -0.92 -27.08 10.09 55.49 0.56 -26.52 16 22 Si 0.92 22.21 29.55 -169.99 -5.02 17.18 16 23 H -0.28 -6.59 7.11 56.52 0.40 -6.19 16 24 H -0.29 -7.04 7.11 56.52 0.40 -6.64 16 25 H -0.29 -7.08 7.11 56.52 0.40 -6.67 16 26 C 0.12 2.60 7.02 -3.06 -0.02 2.57 16 27 C -0.13 -1.11 5.36 -26.59 -0.14 -1.25 16 28 C 0.11 0.97 6.43 -3.69 -0.02 0.94 16 29 H 0.08 0.34 8.14 -51.93 -0.42 -0.08 16 30 H 0.08 0.40 8.14 -51.93 -0.42 -0.03 16 31 H 0.08 0.41 5.97 -51.93 -0.31 0.10 16 32 H 0.08 0.56 7.99 -51.93 -0.41 0.14 16 33 H 0.07 0.58 8.14 -51.93 -0.42 0.16 16 34 H 0.08 0.38 8.14 -51.93 -0.42 -0.04 16 35 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 36 H 0.10 0.80 3.85 -51.93 -0.20 0.60 16 37 H 0.07 0.70 8.14 -51.93 -0.42 0.28 16 38 H 0.09 0.96 7.79 -51.93 -0.40 0.55 16 39 H 0.08 0.86 8.14 -51.93 -0.42 0.44 16 40 H 0.04 0.53 8.11 -51.93 -0.42 0.11 16 41 H 0.05 0.59 8.14 -51.93 -0.42 0.17 16 42 H 0.07 1.41 8.14 -51.93 -0.42 0.98 16 43 H 0.06 1.05 8.14 -51.93 -0.42 0.63 16 44 H 0.11 3.03 5.87 -51.93 -0.30 2.73 16 45 H 0.01 0.33 8.14 -51.93 -0.42 -0.09 16 46 H 0.25 7.12 8.31 -40.82 -0.34 6.78 16 47 H 0.02 0.40 8.14 -51.93 -0.42 -0.02 16 48 H 0.03 0.73 8.06 -51.93 -0.42 0.32 16 49 H 0.07 0.65 8.14 -51.93 -0.42 0.22 16 50 H 0.08 0.62 8.14 -51.93 -0.42 0.19 16 51 H 0.09 0.89 7.00 -51.93 -0.36 0.53 16 52 H 0.07 0.55 8.14 -51.93 -0.42 0.13 16 LS Contribution 400.68 15.07 6.04 6.04 Total: -1.00 -32.47 400.68 -9.31 -41.78 By element: Atomic # 1 Polarization: 6.89 SS G_CDS: -9.13 Total: -2.24 kcal Atomic # 6 Polarization: 1.68 SS G_CDS: -0.45 Total: 1.23 kcal Atomic # 7 Polarization: -48.50 SS G_CDS: -0.53 Total: -49.03 kcal Atomic # 8 Polarization: -13.00 SS G_CDS: -0.25 Total: -13.25 kcal Atomic # 9 Polarization: -1.75 SS G_CDS: 0.03 Total: -1.71 kcal Atomic # 14 Polarization: 22.21 SS G_CDS: -5.02 Total: 17.18 kcal Total LS contribution 6.04 Total: 6.04 kcal Total: -32.47 -9.31 -41.78 kcal The number of atoms in the molecule is 52 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. ZINC001088227891.mol2 52 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 -64.952 kcal (2) G-P(sol) polarization free energy of solvation -32.474 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -97.425 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.310 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.784 kcal (6) G-S(sol) free energy of system = (1) + (5) -106.736 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.91 seconds