Wall clock time and date at job start Sat Apr 11 2020 06:13:03 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 C 1.53003 * 109.47199 * 2 1 4 4 N 1.46894 * 109.46946 * 179.97438 * 3 2 1 5 5 C 1.48669 * 111.10950 * 285.41095 * 4 3 2 6 6 C 1.54376 * 104.67495 * 201.09869 * 5 4 3 7 7 C 1.54261 * 105.06184 * 23.77935 * 6 5 4 8 8 C 1.48567 * 110.99771 * 170.00108 * 4 3 2 9 9 H 1.09000 * 110.41468 * 40.13948 * 8 4 3 10 10 C 1.50706 * 110.40699 * 277.81540 * 8 4 3 11 11 O 1.21275 * 120.00404 * 1.65181 * 10 8 4 12 12 N 1.34779 * 119.99413 * 181.65045 * 10 8 4 13 13 C 1.46506 * 119.99461 * 180.02562 * 12 10 8 14 14 H 1.09000 * 109.47212 * 34.99880 * 13 12 10 15 15 C 1.53005 * 109.46831 * 274.99712 * 13 12 10 16 16 C 1.53002 * 109.47035 * 155.00115 * 13 12 10 17 17 N 1.46903 * 109.46767 * 304.99633 * 16 13 12 18 18 C 1.46904 * 110.99590 * 179.97438 * 17 16 13 19 19 C 1.50697 * 109.46814 * 180.02562 * 18 17 16 20 20 O 1.21295 * 120.00568 * 0.02562 * 19 18 17 21 21 N 1.34778 * 120.00138 * 180.02562 * 19 18 17 22 22 C 1.37103 * 120.00324 * 180.02562 * 21 19 18 23 23 H 1.07997 * 119.99800 * 359.97438 * 22 21 19 24 24 C 1.38950 * 119.99949 * 179.97438 * 22 21 19 25 25 N 1.31409 * 119.99888 * 359.97438 * 24 22 21 26 26 Si 1.86798 * 119.99835 * 179.97438 * 24 22 21 27 27 H 1.48505 * 109.47274 * 0.02562 * 26 24 22 28 28 H 1.48503 * 109.46774 * 119.99823 * 26 24 22 29 29 H 1.48495 * 109.46982 * 240.00013 * 26 24 22 30 30 H 1.08999 * 109.47330 * 300.00765 * 1 2 3 31 31 H 1.09002 * 109.46507 * 60.00309 * 1 2 3 32 32 H 1.08996 * 109.46850 * 179.97438 * 1 2 3 33 33 H 1.09000 * 109.47312 * 240.00023 * 2 1 3 34 34 H 1.09002 * 109.46507 * 119.99690 * 2 1 3 35 35 H 1.08993 * 109.47216 * 59.99511 * 3 2 1 36 36 H 1.09006 * 109.46878 * 299.99750 * 3 2 1 37 37 H 1.09000 * 110.43987 * 82.26486 * 5 4 3 38 38 H 1.09000 * 110.40924 * 319.92830 * 5 4 3 39 39 H 1.08995 * 110.32667 * 264.87688 * 6 5 4 40 40 H 1.09005 * 110.40588 * 142.71319 * 6 5 4 41 41 H 1.09000 * 110.32392 * 241.10342 * 7 6 5 42 42 H 1.08995 * 110.41413 * 118.93715 * 7 6 5 43 43 H 0.96995 * 120.00725 * 0.02562 * 12 10 8 44 44 H 1.09002 * 109.46935 * 180.02562 * 15 13 12 45 45 H 1.08992 * 109.47061 * 300.00078 * 15 13 12 46 46 H 1.09001 * 109.46812 * 60.00445 * 15 13 12 47 47 H 1.08999 * 109.47369 * 64.99599 * 16 13 12 48 48 H 1.08997 * 109.47011 * 184.99706 * 16 13 12 49 49 H 1.00894 * 110.99983 * 303.95572 * 17 16 13 50 50 H 1.08992 * 109.47296 * 299.99913 * 18 17 16 51 51 H 1.09003 * 109.46910 * 60.00527 * 18 17 16 52 52 H 0.96999 * 119.99683 * 359.97438 * 21 19 18 53 53 H 0.97008 * 119.99924 * 179.97438 * 25 24 22 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 6 2.0401 1.4425 0.0000 4 7 3.5090 1.4425 0.0006 5 6 4.0439 1.0741 1.3380 6 6 5.4845 1.6287 1.3493 7 6 5.4830 2.7696 0.3111 8 6 4.0415 2.8083 -0.2402 9 1 3.4485 3.5479 0.2978 10 6 4.0512 3.1161 -1.7155 11 8 3.6280 2.3012 -2.5077 12 7 4.5300 4.2970 -2.1543 13 6 4.5389 4.5964 -3.5884 14 1 3.6602 4.1537 -4.0574 15 6 5.8036 4.0145 -4.2230 16 6 4.5168 6.1125 -3.7930 17 7 3.3662 6.6859 -3.0820 18 6 3.3131 8.1436 -3.2560 19 6 2.1230 8.6949 -2.5138 20 8 1.3914 7.9472 -1.8999 21 7 1.8716 10.0189 -2.5321 22 6 0.7892 10.5205 -1.8565 23 1 0.1378 9.8547 -1.3099 24 6 0.5303 11.8856 -1.8749 25 7 1.3233 12.6958 -2.5396 26 14 -0.9448 12.5690 -0.9550 27 1 -1.6725 11.4577 -0.2911 28 1 -0.4829 13.5394 0.0698 29 1 -1.8513 13.2532 -1.9117 30 1 -0.3634 0.5139 0.8899 31 1 -0.3632 0.5138 -0.8901 32 1 -0.3633 -1.0276 -0.0005 33 1 1.8934 -0.5138 -0.8900 34 1 1.8933 -0.5138 0.8901 35 1 1.6767 1.9564 0.8899 36 1 1.6768 1.9563 -0.8901 37 1 4.0526 -0.0091 1.4592 38 1 3.4512 1.5392 2.1257 39 1 6.1915 0.8521 1.0574 40 1 5.7349 2.0159 2.3370 41 1 6.1892 2.5531 -0.4904 42 1 5.7316 3.7178 0.7879 43 1 4.8688 4.9487 -1.5207 44 1 5.8104 4.2376 -5.2900 45 1 6.6822 4.4573 -3.7540 46 1 5.8193 2.9344 -4.0773 47 1 5.4378 6.5454 -3.4024 48 1 4.4339 6.3344 -4.8569 49 1 2.5047 6.2540 -3.3809 50 1 4.2257 8.5901 -2.8613 51 1 3.2219 8.3799 -4.3161 52 1 2.4569 10.6169 -3.0227 53 1 1.1423 13.6487 -2.5528 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 ZINC001699364130.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 06:13:03 Heat of formation + Delta-G solvation = -78.737604 kcal Electronic energy + Delta-G solvation = -30202.538690 eV Core-core repulsion = 26108.454864 eV Total energy + Delta-G solvation = -4094.083826 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.76 seconds Orbital eigenvalues (eV) -40.32904 -38.59900 -38.15470 -36.44477 -34.73662 -34.24235 -33.63203 -31.41891 -31.18569 -30.95678 -29.09446 -27.59983 -25.68707 -25.04985 -23.48667 -22.88921 -21.90703 -21.05898 -20.57372 -19.99579 -19.25491 -17.92465 -17.37495 -16.74214 -16.25442 -15.92112 -15.36678 -15.26856 -14.88241 -14.71906 -14.60378 -14.35123 -14.22189 -13.89079 -13.51972 -13.50225 -13.39836 -13.18276 -12.99153 -12.82344 -12.58152 -12.49053 -12.02097 -11.93554 -11.82933 -11.72689 -11.54991 -11.50464 -11.48330 -11.45913 -11.08120 -11.01740 -10.92962 -10.87181 -10.65312 -10.36660 -10.25206 -9.63545 -9.54702 -8.95437 -8.61964 -8.50165 -8.12219 -7.98936 -6.44630 -3.85433 2.77562 3.06819 3.14153 3.24929 3.32124 3.86757 3.88170 4.04846 4.27161 4.34444 4.40078 4.67217 4.78442 4.88638 4.94930 4.98048 5.02235 5.07925 5.12814 5.21781 5.22837 5.29185 5.31081 5.35366 5.44417 5.46147 5.53575 5.54956 5.59049 5.61052 5.66116 5.67694 5.76000 5.79707 5.86236 5.92277 5.92765 5.94888 6.08170 6.09526 6.17613 6.22975 6.57309 6.62774 6.85667 7.13388 7.52704 7.57654 7.67189 8.03664 8.39953 8.58259 9.15265 9.51425 10.02739 10.73160 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.010574 B = 0.002356 C = 0.002113 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2647.441057 B =11881.361736 C =13247.065320 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.152 4.152 2 C -0.113 4.113 3 C 0.046 3.954 4 N -0.486 5.486 5 C 0.031 3.969 6 C -0.122 4.122 7 C -0.113 4.113 8 C 0.041 3.959 9 H 0.080 0.920 10 C 0.527 3.473 11 O -0.529 6.529 12 N -0.709 5.709 13 C 0.147 3.853 14 H 0.084 0.916 15 C -0.160 4.160 16 C 0.048 3.952 17 N -0.667 5.667 18 C 0.050 3.950 19 C 0.440 3.560 20 O -0.583 6.583 21 N -0.564 5.564 22 C -0.299 4.299 23 H 0.103 0.897 24 C 0.022 3.978 25 N -0.902 5.902 26 Si 0.929 3.071 27 H -0.268 1.268 28 H -0.281 1.281 29 H -0.281 1.281 30 H 0.052 0.948 31 H 0.056 0.944 32 H 0.054 0.946 33 H 0.071 0.929 34 H 0.056 0.944 35 H 0.035 0.965 36 H 0.080 0.920 37 H 0.083 0.917 38 H 0.045 0.955 39 H 0.073 0.927 40 H 0.071 0.929 41 H 0.075 0.925 42 H 0.078 0.922 43 H 0.404 0.596 44 H 0.064 0.936 45 H 0.057 0.943 46 H 0.062 0.938 47 H 0.077 0.923 48 H 0.042 0.958 49 H 0.351 0.649 50 H 0.086 0.914 51 H 0.044 0.956 52 H 0.392 0.608 53 H 0.271 0.729 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 10.932 -19.715 3.073 22.751 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 -0.210 4.210 2 C -0.151 4.151 3 C -0.082 4.082 4 N -0.210 5.210 5 C -0.097 4.097 6 C -0.160 4.160 7 C -0.152 4.152 8 C -0.071 4.071 9 H 0.098 0.902 10 C 0.312 3.688 11 O -0.404 6.404 12 N -0.361 5.361 13 C 0.042 3.958 14 H 0.103 0.897 15 C -0.219 4.219 16 C -0.082 4.082 17 N -0.299 5.299 18 C -0.082 4.082 19 C 0.226 3.774 20 O -0.467 6.467 21 N -0.201 5.201 22 C -0.428 4.428 23 H 0.121 0.879 24 C -0.180 4.180 25 N -0.543 5.543 26 Si 0.756 3.244 27 H -0.192 1.192 28 H -0.207 1.207 29 H -0.207 1.207 30 H 0.071 0.929 31 H 0.075 0.925 32 H 0.073 0.927 33 H 0.090 0.910 34 H 0.075 0.925 35 H 0.053 0.947 36 H 0.098 0.902 37 H 0.102 0.898 38 H 0.064 0.936 39 H 0.092 0.908 40 H 0.090 0.910 41 H 0.094 0.906 42 H 0.097 0.903 43 H 0.238 0.762 44 H 0.083 0.917 45 H 0.076 0.924 46 H 0.081 0.919 47 H 0.095 0.905 48 H 0.060 0.940 49 H 0.170 0.830 50 H 0.104 0.896 51 H 0.062 0.938 52 H 0.225 0.775 53 H 0.081 0.919 Dipole moment (debyes) X Y Z Total from point charges 10.577 -20.940 3.066 23.659 hybrid contribution -0.796 1.986 0.095 2.142 sum 9.781 -18.954 3.161 21.562 Atomic orbital electron populations 1.21746 0.95689 1.01579 1.01975 1.21405 0.95240 0.96079 1.02368 1.22347 0.86834 0.97773 1.01259 1.65086 1.08591 1.20661 1.26676 1.23188 0.95066 1.01376 0.90043 1.22277 0.96844 0.97940 0.98985 1.22252 0.94462 0.99533 0.98941 1.22613 0.97730 0.92757 0.93985 0.90209 1.20155 0.77138 0.81517 0.89996 1.90673 1.45998 1.47107 1.56611 1.45802 1.64359 1.17855 1.08115 1.20895 0.99096 0.94216 0.81594 0.89742 1.22133 0.97313 1.01819 1.00651 1.22316 0.95719 0.93319 0.96857 1.60059 1.06225 1.03332 1.60304 1.21678 0.99281 0.88842 0.98423 1.19809 0.87902 0.83269 0.86450 1.90530 1.50910 1.57913 1.47331 1.41876 1.26437 1.05632 1.46127 1.19747 1.04066 0.91607 1.27397 0.87902 1.25264 0.99038 0.95943 0.97724 1.69620 1.38143 1.04536 1.42013 0.85806 0.80704 0.78896 0.78983 1.19213 1.20727 1.20745 0.92921 0.92467 0.92654 0.91029 0.92475 0.94697 0.90165 0.89846 0.93627 0.90824 0.90996 0.90600 0.90315 0.76174 0.91746 0.92388 0.91862 0.90490 0.93961 0.83010 0.89605 0.93848 0.77479 0.91912 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 -1.39 9.91 37.16 0.37 -1.02 16 2 C -0.11 -1.14 6.05 -26.73 -0.16 -1.30 16 3 C 0.05 0.54 4.63 -3.83 -0.02 0.52 16 4 N -0.49 -5.59 4.61 -223.40 -1.03 -6.62 16 5 C 0.03 0.27 5.92 -2.12 -0.01 0.26 16 6 C -0.12 -0.92 7.00 -25.35 -0.18 -1.10 16 7 C -0.11 -0.96 6.51 -25.35 -0.17 -1.13 16 8 C 0.04 0.46 2.67 -67.21 -0.18 0.28 16 9 H 0.08 0.91 7.99 -51.93 -0.42 0.50 16 10 C 0.53 7.01 6.77 -10.98 -0.07 6.94 16 11 O -0.53 -8.87 15.50 5.56 0.09 -8.78 16 12 N -0.71 -8.15 4.76 -53.80 -0.26 -8.41 16 13 C 0.15 1.65 2.81 -67.92 -0.19 1.46 16 14 H 0.08 1.12 7.58 -51.93 -0.39 0.73 16 15 C -0.16 -1.51 9.48 37.16 0.35 -1.16 16 16 C 0.05 0.53 5.24 -3.82 -0.02 0.51 16 17 N -0.67 -10.06 5.85 -115.06 -0.67 -10.73 16 18 C 0.05 0.84 6.17 -4.98 -0.03 0.81 16 19 C 0.44 10.16 7.82 -10.99 -0.09 10.08 16 20 O -0.58 -15.59 15.78 5.54 0.09 -15.50 16 21 N -0.56 -14.09 5.29 -10.96 -0.06 -14.15 16 22 C -0.30 -8.27 9.68 -14.93 -0.14 -8.41 16 23 H 0.10 3.00 7.16 -52.49 -0.38 2.63 16 24 C 0.02 0.58 5.50 -17.47 -0.10 0.49 16 25 N -0.90 -24.34 13.05 55.50 0.72 -23.62 16 26 Si 0.93 20.92 29.55 -169.99 -5.02 15.90 16 27 H -0.27 -6.04 7.11 56.52 0.40 -5.64 16 28 H -0.28 -6.23 7.11 56.52 0.40 -5.83 16 29 H -0.28 -6.24 7.11 56.52 0.40 -5.84 16 30 H 0.05 0.46 8.14 -51.93 -0.42 0.04 16 31 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 32 H 0.05 0.44 8.14 -51.93 -0.42 0.02 16 33 H 0.07 0.81 8.14 -51.93 -0.42 0.39 16 34 H 0.06 0.52 7.48 -51.93 -0.39 0.13 16 35 H 0.03 0.39 7.77 -51.93 -0.40 -0.02 16 36 H 0.08 1.12 7.35 -51.93 -0.38 0.74 16 37 H 0.08 0.68 7.86 -51.93 -0.41 0.27 16 38 H 0.05 0.39 7.75 -51.93 -0.40 -0.02 16 39 H 0.07 0.53 8.14 -51.93 -0.42 0.11 16 40 H 0.07 0.44 8.14 -51.93 -0.42 0.02 16 41 H 0.08 0.67 7.85 -51.93 -0.41 0.26 16 42 H 0.08 0.55 8.14 -51.93 -0.42 0.13 16 43 H 0.40 4.21 8.60 -40.82 -0.35 3.86 16 44 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 45 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 46 H 0.06 0.69 8.14 -51.93 -0.42 0.27 16 47 H 0.08 0.77 8.14 -51.93 -0.42 0.35 16 48 H 0.04 0.44 8.14 -51.93 -0.42 0.01 16 49 H 0.35 5.85 8.43 -39.29 -0.33 5.52 16 50 H 0.09 1.30 8.14 -51.93 -0.42 0.88 16 51 H 0.04 0.66 8.14 -51.93 -0.42 0.24 16 52 H 0.39 9.35 7.90 -40.82 -0.32 9.02 16 53 H 0.27 6.90 8.31 -40.82 -0.34 6.57 16 LS Contribution 427.92 15.07 6.45 6.45 Total: -1.00 -32.65 427.92 -9.96 -42.62 By element: Atomic # 1 Polarization: 25.25 SS G_CDS: -9.64 Total: 15.61 kcal Atomic # 6 Polarization: 7.87 SS G_CDS: -0.64 Total: 7.23 kcal Atomic # 7 Polarization: -62.24 SS G_CDS: -1.29 Total: -63.53 kcal Atomic # 8 Polarization: -24.46 SS G_CDS: 0.17 Total: -24.28 kcal Atomic # 14 Polarization: 20.92 SS G_CDS: -5.02 Total: 15.90 kcal Total LS contribution 6.45 Total: 6.45 kcal Total: -32.65 -9.96 -42.62 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. ZINC001699364130.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 -36.119 kcal (2) G-P(sol) polarization free energy of solvation -32.654 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -68.773 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.965 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.619 kcal (6) G-S(sol) free energy of system = (1) + (5) -78.738 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.76 seconds