Wall clock time and date at job start Sat Apr 11 2020 06:09:46 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 1.52994 * 1 3 3 H 1.08994 * 109.49257 * 2 1 4 4 C 1.53093 * 109.48395 * 120.03491 * 2 1 3 5 5 C 1.53180 * 109.16754 * 177.58845 * 4 2 1 6 6 H 1.09006 * 109.61267 * 62.92721 * 5 4 2 7 7 C 1.50700 * 109.54478 * 183.14899 * 5 4 2 8 8 O 1.21279 * 119.99765 * 16.29996 * 7 5 4 9 9 N 1.34780 * 119.99906 * 196.30143 * 7 5 4 10 10 C 1.46497 * 119.99731 * 4.50438 * 9 7 5 11 11 C 1.50706 * 109.46971 * 83.87087 * 10 9 7 12 12 H 1.07998 * 119.99805 * 359.97438 * 11 10 9 13 13 C 1.37872 * 119.99910 * 179.97438 * 11 10 9 14 14 N 1.31514 * 120.00138 * 179.97438 * 13 11 10 15 15 Si 1.86801 * 120.00199 * 0.02562 * 13 11 10 16 16 H 1.48500 * 109.47290 * 89.99357 * 15 13 11 17 17 H 1.48499 * 109.47191 * 209.99896 * 15 13 11 18 18 H 1.48506 * 109.47000 * 329.99252 * 15 13 11 19 19 C 1.46499 * 119.99709 * 184.50496 * 9 7 5 20 20 C 1.52999 * 109.46942 * 89.99972 * 19 9 7 21 21 N 1.46905 * 109.47244 * 179.97438 * 20 19 9 22 22 C 1.47014 * 111.00068 * 293.63891 * 21 20 19 23 23 C 1.53096 * 109.25714 * 177.60336 * 22 21 20 24 24 O 1.43010 * 109.25629 * 56.84853 * 23 22 21 25 25 C 1.43018 * 113.74266 * 301.32789 * 24 23 22 26 26 C 1.47008 * 111.00080 * 169.99879 * 21 20 19 27 27 C 1.53175 * 109.03711 * 303.01998 * 5 4 2 28 28 C 1.53096 * 109.16511 * 56.97454 * 27 5 4 29 29 O 1.42901 * 109.41584 * 302.39594 * 28 27 5 30 30 H 1.09001 * 109.47528 * 180.02562 * 1 2 3 31 31 H 1.09010 * 109.46783 * 300.02431 * 1 2 3 32 32 H 1.08997 * 109.47308 * 60.02463 * 1 2 3 33 33 H 1.09004 * 109.52138 * 297.49809 * 4 2 1 34 34 H 1.08997 * 109.52279 * 57.67981 * 4 2 1 35 35 H 1.09004 * 109.46880 * 203.86262 * 10 9 7 36 36 H 1.08999 * 109.47434 * 323.86714 * 10 9 7 37 37 H 0.96999 * 120.00062 * 180.02562 * 14 13 11 38 38 H 1.08994 * 109.46769 * 210.00141 * 19 9 7 39 39 H 1.08996 * 109.47185 * 330.00297 * 19 9 7 40 40 H 1.08999 * 109.47261 * 300.00102 * 20 19 9 41 41 H 1.09005 * 109.47143 * 60.00154 * 20 19 9 42 42 H 1.09000 * 109.50507 * 297.54176 * 22 21 20 43 43 H 1.09002 * 109.50385 * 57.66780 * 22 21 20 44 44 H 1.09001 * 109.50708 * 296.91373 * 23 22 21 45 45 H 1.09005 * 109.50433 * 176.78612 * 23 22 21 46 46 H 1.08998 * 109.50499 * 298.73837 * 25 24 23 47 47 H 1.08994 * 109.50622 * 178.60821 * 25 24 23 48 48 H 1.08996 * 109.51242 * 302.32989 * 26 21 20 49 49 H 1.09007 * 109.50337 * 62.46533 * 26 21 20 50 50 H 1.09006 * 109.52068 * 297.07441 * 27 5 4 51 51 H 1.09001 * 109.52338 * 176.88441 * 27 5 4 52 52 H 1.08995 * 109.48074 * 182.40997 * 28 27 5 53 53 H 1.09006 * 109.48352 * 62.38286 * 28 27 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 1.5299 0.0000 0.0000 3 1 1.8936 1.0275 0.0000 4 6 2.0406 -0.7224 1.2495 5 6 3.5711 -0.7711 1.2120 6 1 3.9703 0.2428 1.2415 7 6 4.0800 -1.5478 2.3989 8 8 3.3250 -2.2596 3.0267 9 7 5.3742 -1.4515 2.7627 10 6 6.2630 -0.5177 2.0670 11 6 6.1167 0.8569 2.6673 12 1 5.4299 1.0187 3.4850 13 6 6.8595 1.9078 2.1727 14 7 6.7314 3.1074 2.6962 15 14 8.0468 1.6281 0.7579 16 1 7.3412 1.8448 -0.5307 17 1 9.1808 2.5805 0.8677 18 1 8.5623 0.2364 0.8121 19 6 5.8920 -2.2807 3.8539 20 6 6.4153 -3.6017 3.2864 21 7 6.9351 -4.4329 4.3804 22 6 8.1281 -3.8225 4.9849 23 6 8.6002 -4.6885 6.1558 24 8 8.8493 -6.0172 5.6892 25 6 7.7084 -6.6423 5.0950 26 6 7.2272 -5.7959 3.9134 27 6 4.0176 -1.4602 -0.0810 28 6 3.4306 -0.7094 -1.2792 29 8 2.0065 -0.6742 -1.1665 30 1 -0.3634 -1.0276 0.0005 31 1 -0.3633 0.5143 0.8899 32 1 -0.3634 0.5134 -0.8902 33 1 1.7149 -0.1845 2.1399 34 1 1.6443 -1.7375 1.2708 35 1 7.2952 -0.8519 2.1720 36 1 5.9981 -0.4827 1.0103 37 1 7.2538 3.8469 2.3479 38 1 6.7033 -1.7543 4.3566 39 1 5.0930 -2.4829 4.5671 40 1 5.6040 -4.1280 2.7836 41 1 7.2144 -3.3995 2.5730 42 1 8.9202 -3.7554 4.2391 43 1 7.8824 -2.8240 5.3466 44 1 7.8289 -4.7117 6.9256 45 1 9.5173 -4.2706 6.5710 46 1 6.9112 -6.7222 5.8339 47 1 7.9806 -7.6373 4.7431 48 1 6.3240 -6.2381 3.4930 49 1 8.0050 -5.7604 3.1505 50 1 3.6612 -2.4903 -0.0866 51 1 5.1059 -1.4499 -0.1423 52 1 3.7099 -1.2203 -2.2006 53 1 3.8192 0.3089 -1.2960 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 ZINC000345316511.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 06:09:46 Heat of formation + Delta-G solvation = -127.448585 kcal Electronic energy + Delta-G solvation = -31804.714374 eV Core-core repulsion = 27676.225530 eV Total energy + Delta-G solvation = -4128.488844 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.78 seconds Orbital eigenvalues (eV) -40.11225 -39.57070 -38.39025 -36.23371 -34.97521 -33.37901 -32.63666 -32.58444 -31.31514 -30.00137 -27.90389 -27.69436 -26.28022 -24.38598 -24.10577 -22.84378 -22.38767 -21.76801 -20.42997 -20.09930 -18.24784 -17.19782 -16.70364 -16.49216 -16.23563 -16.07645 -15.88314 -15.39193 -15.18246 -15.05708 -14.81654 -14.44813 -14.41967 -14.30094 -13.80000 -13.60818 -13.20329 -12.99586 -12.82876 -12.47356 -12.37964 -12.35902 -12.25737 -12.04228 -11.99144 -11.57400 -11.54179 -11.45747 -11.14656 -10.97707 -10.85767 -10.82004 -10.72923 -10.47957 -10.42998 -10.32304 -10.13322 -9.81641 -9.70005 -9.49957 -8.94116 -8.79891 -8.45123 -7.84747 -6.30610 -4.32799 3.07880 3.15718 3.18246 3.24180 3.44920 3.74591 3.91900 4.05125 4.16950 4.76363 4.88103 4.91834 4.94906 4.97484 5.01300 5.04225 5.07195 5.14587 5.16532 5.31671 5.38960 5.41886 5.44391 5.46723 5.53728 5.66107 5.67137 5.67652 5.71664 5.75127 5.81916 5.82932 5.86712 5.93985 6.02894 6.04745 6.15356 6.18027 6.24736 6.33249 6.35348 6.39751 6.60714 6.64865 6.89461 6.91081 7.02370 7.27793 7.33918 7.40559 8.04761 8.30895 8.74304 8.86840 9.28239 10.81842 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.009155 B = 0.003808 C = 0.002987 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3057.808297 B = 7351.203078 C = 9371.353003 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.142 4.142 2 C 0.085 3.915 3 H 0.061 0.939 4 C -0.125 4.125 5 C -0.112 4.112 6 H 0.115 0.885 7 C 0.530 3.470 8 O -0.564 6.564 9 N -0.591 5.591 10 C 0.206 3.794 11 C -0.542 4.542 12 H 0.079 0.921 13 C 0.079 3.921 14 N -0.887 5.887 15 Si 0.867 3.133 16 H -0.271 1.271 17 H -0.282 1.282 18 H -0.265 1.265 19 C 0.124 3.876 20 C 0.045 3.955 21 N -0.533 5.533 22 C 0.012 3.988 23 C 0.064 3.936 24 O -0.389 6.389 25 C 0.065 3.935 26 C 0.019 3.981 27 C -0.144 4.144 28 C 0.065 3.935 29 O -0.384 6.384 30 H 0.061 0.939 31 H 0.070 0.930 32 H 0.060 0.940 33 H 0.075 0.925 34 H 0.076 0.924 35 H 0.031 0.969 36 H 0.032 0.968 37 H 0.267 0.733 38 H 0.077 0.923 39 H 0.085 0.915 40 H 0.076 0.924 41 H 0.035 0.965 42 H 0.043 0.957 43 H 0.094 0.906 44 H 0.060 0.940 45 H 0.098 0.902 46 H 0.060 0.940 47 H 0.095 0.905 48 H 0.085 0.915 49 H 0.041 0.959 50 H 0.070 0.930 51 H 0.080 0.920 52 H 0.092 0.908 53 H 0.055 0.945 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.383 -12.223 -2.390 12.531 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 -0.199 4.199 2 C 0.027 3.973 3 H 0.079 0.921 4 C -0.163 4.163 5 C -0.133 4.133 6 H 0.133 0.867 7 C 0.318 3.682 8 O -0.444 6.444 9 N -0.322 5.322 10 C 0.085 3.915 11 C -0.581 4.581 12 H 0.097 0.903 13 C -0.126 4.126 14 N -0.525 5.525 15 Si 0.694 3.306 16 H -0.197 1.197 17 H -0.208 1.208 18 H -0.190 1.190 19 C 0.000 4.000 20 C -0.084 4.084 21 N -0.259 5.259 22 C -0.117 4.117 23 C -0.012 4.012 24 O -0.307 6.307 25 C -0.012 4.012 26 C -0.110 4.110 27 C -0.182 4.182 28 C -0.012 4.012 29 O -0.303 6.303 30 H 0.080 0.920 31 H 0.089 0.911 32 H 0.079 0.921 33 H 0.093 0.907 34 H 0.095 0.905 35 H 0.049 0.951 36 H 0.050 0.950 37 H 0.077 0.923 38 H 0.095 0.905 39 H 0.103 0.897 40 H 0.094 0.906 41 H 0.054 0.946 42 H 0.061 0.939 43 H 0.112 0.888 44 H 0.079 0.921 45 H 0.116 0.884 46 H 0.078 0.922 47 H 0.113 0.887 48 H 0.103 0.897 49 H 0.059 0.941 50 H 0.089 0.911 51 H 0.098 0.902 52 H 0.111 0.889 53 H 0.073 0.927 Dipole moment (debyes) X Y Z Total from point charges -1.993 -12.584 -1.824 12.871 hybrid contribution 1.499 0.528 -1.206 1.995 sum -0.494 -12.056 -3.030 12.440 Atomic orbital electron populations 1.21736 0.93253 1.02712 1.02181 1.22138 0.94824 0.95326 0.85012 0.92116 1.22006 0.93936 1.02345 0.98058 1.21369 0.96582 1.02281 0.93048 0.86654 1.20351 0.81576 0.81153 0.85109 1.90599 1.55997 1.42083 1.55735 1.47850 1.09781 1.39548 1.34977 1.19900 0.89586 0.89218 0.92762 1.21371 1.25911 0.90836 1.19957 0.90313 1.24862 0.96296 0.94923 0.96471 1.69884 1.40798 1.00294 1.41481 0.86988 0.81624 0.78771 0.83255 1.19685 1.20760 1.18993 1.21201 0.99793 0.89163 0.89878 1.22516 0.99014 0.94867 0.92010 1.62120 1.30205 1.02039 1.31487 1.22896 0.91622 0.99616 0.97529 1.22683 1.01322 0.82039 0.95201 1.87959 1.35410 1.28711 1.78670 1.22646 0.88718 0.95618 0.94225 1.22766 1.00803 0.90176 0.97235 1.22177 1.01689 1.00216 0.94123 1.22528 0.81004 0.99953 0.97705 1.87864 1.20977 1.78179 1.43276 0.91952 0.91068 0.92116 0.90681 0.90489 0.95062 0.95022 0.92270 0.90494 0.89705 0.90580 0.94637 0.93858 0.88809 0.92142 0.88435 0.92212 0.88663 0.89673 0.94112 0.91123 0.90171 0.88946 0.92671 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 -0.14 -1.68 9.56 37.15 0.36 -1.33 16 2 C 0.08 1.22 3.27 -26.69 -0.09 1.13 16 3 H 0.06 0.88 8.14 -51.93 -0.42 0.46 16 4 C -0.13 -2.03 4.19 -26.59 -0.11 -2.15 16 5 C -0.11 -1.98 1.76 -91.59 -0.16 -2.14 16 6 H 0.12 2.27 6.68 -51.93 -0.35 1.92 16 7 C 0.53 10.57 6.82 -10.98 -0.07 10.49 16 8 O -0.56 -12.35 15.50 5.56 0.09 -12.27 16 9 N -0.59 -11.61 2.47 -175.06 -0.43 -12.05 16 10 C 0.21 4.34 3.88 -5.19 -0.02 4.32 16 11 C -0.54 -13.71 9.12 -34.44 -0.31 -14.03 16 12 H 0.08 2.26 8.06 -52.49 -0.42 1.84 16 13 C 0.08 2.04 5.47 -17.82 -0.10 1.94 16 14 N -0.89 -24.99 13.96 55.43 0.77 -24.22 16 15 Si 0.87 19.04 27.47 -169.99 -4.67 14.37 16 16 H -0.27 -5.79 7.11 56.52 0.40 -5.39 16 17 H -0.28 -6.29 7.11 56.52 0.40 -5.89 16 18 H -0.27 -5.52 6.54 56.52 0.37 -5.15 16 19 C 0.12 2.18 5.35 -4.04 -0.02 2.16 16 20 C 0.04 0.68 5.28 -3.82 -0.02 0.66 16 21 N -0.53 -7.24 4.73 -234.31 -1.11 -8.35 16 22 C 0.01 0.15 5.44 -3.71 -0.02 0.13 16 23 C 0.06 0.72 7.01 37.21 0.26 0.98 16 24 O -0.39 -4.81 10.83 -35.23 -0.38 -5.19 16 25 C 0.07 0.68 7.01 37.21 0.26 0.94 16 26 C 0.02 0.22 5.64 -3.71 -0.02 0.19 16 27 C -0.14 -2.20 5.17 -26.59 -0.14 -2.34 16 28 C 0.06 0.90 6.84 37.21 0.25 1.16 16 29 O -0.38 -5.79 10.41 -35.23 -0.37 -6.16 16 30 H 0.06 0.73 8.14 -51.93 -0.42 0.31 16 31 H 0.07 0.76 8.14 -51.92 -0.42 0.33 16 32 H 0.06 0.66 8.14 -51.93 -0.42 0.24 16 33 H 0.07 1.24 8.14 -51.93 -0.42 0.82 16 34 H 0.08 1.30 7.83 -51.93 -0.41 0.89 16 35 H 0.03 0.66 7.08 -51.93 -0.37 0.29 16 36 H 0.03 0.64 4.28 -51.93 -0.22 0.42 16 37 H 0.27 7.07 8.31 -40.82 -0.34 6.73 16 38 H 0.08 1.35 6.44 -51.93 -0.33 1.01 16 39 H 0.08 1.60 7.36 -51.93 -0.38 1.22 16 40 H 0.08 1.21 8.04 -51.93 -0.42 0.79 16 41 H 0.04 0.55 8.12 -51.93 -0.42 0.13 16 42 H 0.04 0.57 8.14 -51.93 -0.42 0.14 16 43 H 0.09 1.19 6.38 -51.93 -0.33 0.86 16 44 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 45 H 0.10 0.92 8.14 -51.93 -0.42 0.49 16 46 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 47 H 0.10 0.79 8.14 -51.93 -0.42 0.37 16 48 H 0.08 0.91 8.09 -51.93 -0.42 0.49 16 49 H 0.04 0.48 8.14 -51.93 -0.42 0.06 16 50 H 0.07 1.07 8.14 -51.93 -0.42 0.65 16 51 H 0.08 1.21 6.17 -51.93 -0.32 0.89 16 52 H 0.09 1.07 8.14 -51.93 -0.42 0.65 16 53 H 0.05 0.78 8.14 -51.93 -0.42 0.35 16 LS Contribution 404.76 15.07 6.10 6.10 Total: -1.00 -29.84 404.76 -9.43 -39.28 By element: Atomic # 1 Polarization: 15.83 SS G_CDS: -9.48 Total: 6.35 kcal Atomic # 6 Polarization: 2.08 SS G_CDS: 0.04 Total: 2.13 kcal Atomic # 7 Polarization: -43.85 SS G_CDS: -0.77 Total: -44.61 kcal Atomic # 8 Polarization: -22.95 SS G_CDS: -0.66 Total: -23.61 kcal Atomic # 14 Polarization: 19.04 SS G_CDS: -4.67 Total: 14.37 kcal Total LS contribution 6.10 Total: 6.10 kcal Total: -29.84 -9.43 -39.28 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. ZINC000345316511.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 -88.170 kcal (2) G-P(sol) polarization free energy of solvation -29.845 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -118.015 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.434 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.279 kcal (6) G-S(sol) free energy of system = (1) + (5) -127.449 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.78 seconds