Wall clock time and date at job start Tue Mar 31 2020 20:38:58 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 1.30998 * 1 3 3 C 1.50705 * 119.99925 * 2 1 4 4 C 1.52992 * 109.47322 * 119.99826 * 3 2 1 5 5 O 1.42895 * 109.46972 * 359.97438 * 3 2 1 6 6 C 1.53007 * 109.46771 * 239.99803 * 3 2 1 7 7 N 1.46900 * 109.46819 * 187.05607 * 6 3 2 8 8 C 1.46858 * 111.00142 * 292.40413 * 7 6 3 9 9 C 1.53149 * 109.44925 * 173.64172 * 8 7 6 10 10 C 1.52546 * 109.30479 * 58.27430 * 9 8 7 11 11 C 1.54135 * 110.08167 * 181.87916 * 10 9 8 12 12 C 1.54592 * 101.65365 * 216.69589 * 11 10 9 13 13 N 1.46825 * 105.49289 * 24.98333 * 12 11 10 14 14 C 1.46496 * 124.36027 * 163.05748 * 13 12 11 15 15 C 1.52995 * 109.47128 * 89.99694 * 14 13 12 16 16 C 1.50706 * 109.47361 * 179.97438 * 15 14 13 17 17 H 1.07999 * 119.99616 * 0.02562 * 16 15 14 18 18 C 1.37874 * 120.00258 * 180.02562 * 16 15 14 19 19 N 1.31518 * 120.00057 * 359.97438 * 18 16 15 20 20 Si 1.86795 * 119.99897 * 180.02562 * 18 16 15 21 21 H 1.48499 * 109.47520 * 60.00089 * 20 18 16 22 22 H 1.48510 * 109.46869 * 179.97438 * 20 18 16 23 23 H 1.48501 * 109.47102 * 299.99434 * 20 18 16 24 24 C 1.34568 * 111.27753 * 343.07565 * 13 12 11 25 25 O 1.21283 * 125.03076 * 180.71904 * 24 13 12 26 26 C 1.52540 * 110.50244 * 303.68098 * 10 9 8 27 27 C 1.46851 * 110.99852 * 168.04594 * 7 6 3 28 28 H 1.08004 * 119.99553 * 179.97438 * 1 2 3 29 29 H 1.07994 * 120.00128 * 0.02562 * 1 2 3 30 30 H 1.08006 * 120.00241 * 179.97438 * 2 1 3 31 31 H 1.09000 * 109.47275 * 185.48834 * 4 3 2 32 32 H 1.08997 * 109.47482 * 305.49234 * 4 3 2 33 33 H 1.09009 * 109.47466 * 65.48976 * 4 3 2 34 34 H 0.96700 * 114.00798 * 300.00341 * 5 3 2 35 35 H 1.08996 * 109.47174 * 67.05673 * 6 3 2 36 36 H 1.08997 * 109.47254 * 307.05557 * 6 3 2 37 37 H 1.08997 * 109.47457 * 293.63521 * 8 7 6 38 38 H 1.08998 * 109.47014 * 53.64675 * 8 7 6 39 39 H 1.09002 * 109.49299 * 178.22931 * 9 8 7 40 40 H 1.08999 * 109.49468 * 298.32256 * 9 8 7 41 41 H 1.09000 * 110.99223 * 334.78665 * 11 10 9 42 42 H 1.09000 * 110.98834 * 98.60412 * 11 10 9 43 43 H 1.09000 * 110.24106 * 143.98759 * 12 11 10 44 44 H 1.09001 * 110.24012 * 265.89045 * 12 11 10 45 45 H 1.08998 * 109.47512 * 209.99911 * 14 13 12 46 46 H 1.09005 * 109.47097 * 329.99801 * 14 13 12 47 47 H 1.09000 * 109.47631 * 299.99930 * 15 14 13 48 48 H 1.09005 * 109.47044 * 60.00074 * 15 14 13 49 49 H 0.96992 * 120.00180 * 180.02562 * 19 18 16 50 50 H 1.09003 * 109.49698 * 296.35778 * 26 10 9 51 51 H 1.08995 * 109.50221 * 176.26270 * 26 10 9 52 52 H 1.09005 * 109.47407 * 306.34508 * 27 7 6 53 53 H 1.08998 * 109.47470 * 66.34584 * 27 7 6 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 1.3100 0.0000 0.0000 3 6 2.0635 1.3052 0.0000 4 6 2.9430 1.3863 1.2492 5 8 1.1349 2.3912 -0.0006 6 6 2.9432 1.3861 -1.2493 7 7 3.8018 2.5752 -1.1673 8 6 3.0063 3.8062 -1.2591 9 6 3.9104 5.0173 -1.0116 10 6 5.0410 5.0203 -2.0357 11 6 5.9894 6.2067 -1.7736 12 6 6.3683 6.6272 -3.2122 13 7 5.2583 6.1727 -4.0589 14 6 5.0072 6.6516 -5.4205 15 6 5.7519 5.7633 -6.4190 16 6 5.4931 6.2555 -7.8197 17 1 4.8610 7.1161 -7.9814 18 6 6.0633 5.6072 -8.8946 19 7 6.8335 4.5595 -8.6977 20 14 5.7430 6.2178 -10.6307 21 1 6.2232 7.6171 -10.7598 22 1 6.4659 5.3555 -11.5999 23 1 4.2859 6.1664 -10.9125 24 6 4.5011 5.2599 -3.4231 25 8 3.5285 4.7110 -3.8960 26 6 5.8162 3.7077 -1.9795 27 6 4.8501 2.5392 -2.1950 28 1 -0.5399 -0.9354 -0.0004 29 1 -0.5400 0.9352 -0.0004 30 1 1.8501 -0.9353 0.0004 31 1 3.4128 2.3686 1.2997 32 1 2.3293 1.2310 2.1365 33 1 3.7139 0.6170 1.2015 34 1 0.5438 2.4030 -0.7658 35 1 2.3113 1.4546 -2.1348 36 1 3.5646 0.4930 -1.3146 37 1 2.5641 3.8798 -2.2526 38 1 2.2150 3.7842 -0.5098 39 1 3.3272 5.9329 -1.1106 40 1 4.3295 4.9592 -0.0071 41 1 5.4716 7.0133 -1.2547 42 1 6.8695 5.8871 -1.2156 43 1 6.4705 7.7107 -3.2738 44 1 7.2973 6.1436 -3.5141 45 1 3.9377 6.6136 -5.6276 46 1 5.3592 7.6789 -5.5150 47 1 6.8214 5.8014 -6.2120 48 1 5.3999 4.7360 -6.3244 49 1 7.2349 4.1036 -9.4538 50 1 6.2946 3.6092 -1.0050 51 1 6.5763 3.7003 -2.7607 52 1 5.3961 1.5985 -2.1244 53 1 4.3945 2.6216 -3.1818 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001274614230.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 20:38:58 Heat of formation + Delta-G solvation = -61.582887 kcal Electronic energy + Delta-G solvation = -31032.673945 eV Core-core repulsion = 27097.497303 eV Total energy + Delta-G solvation = -3935.176641 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.80 seconds Orbital eigenvalues (eV) -40.98456 -39.33933 -37.11121 -36.02396 -34.34444 -33.28525 -32.82828 -31.09502 -30.76082 -29.91238 -28.42059 -26.66346 -25.15788 -24.24853 -23.17586 -22.09301 -21.83190 -20.90706 -20.07955 -19.83393 -18.17734 -17.23883 -16.63544 -16.07285 -15.82248 -15.74529 -15.33716 -15.22686 -14.59641 -14.43365 -14.36231 -14.06105 -13.83872 -13.24705 -13.11554 -13.04672 -12.72614 -12.62267 -12.54055 -12.35273 -12.26047 -12.19597 -12.03504 -11.91595 -11.58317 -11.46378 -11.41248 -11.29845 -11.11285 -10.95958 -10.93251 -10.72168 -10.63947 -10.24800 -9.98783 -9.85259 -9.75557 -9.44350 -9.31078 -9.00423 -8.38322 -8.03611 -7.97851 -6.03528 -4.07115 1.95936 3.10007 3.31620 3.35734 3.37985 3.59770 3.89812 4.04632 4.44125 4.46518 4.59648 4.62092 4.75263 4.79163 4.91486 5.02758 5.07495 5.17319 5.30209 5.32468 5.41320 5.50800 5.53354 5.56356 5.61885 5.70094 5.72636 5.76590 5.78136 5.87492 5.89370 5.91319 5.99881 6.05940 6.08900 6.14152 6.19422 6.21728 6.30430 6.37523 6.44112 6.45278 6.48553 6.81101 7.04082 7.18533 7.24385 7.42902 7.53814 7.66432 7.87032 7.96395 8.32924 8.74533 8.99566 9.56882 11.07848 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.015269 B = 0.002772 C = 0.002526 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1833.368729 B =10100.282801 C =11083.301041 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.185 4.185 2 C -0.183 4.183 3 C 0.163 3.837 4 C -0.119 4.119 5 O -0.549 6.549 6 C 0.036 3.964 7 N -0.525 5.525 8 C 0.018 3.982 9 C -0.086 4.086 10 C -0.094 4.094 11 C -0.125 4.125 12 C 0.101 3.899 13 N -0.612 5.612 14 C 0.128 3.872 15 C 0.014 3.986 16 C -0.523 4.523 17 H 0.056 0.944 18 C 0.059 3.941 19 N -0.893 5.893 20 Si 0.895 3.105 21 H -0.276 1.276 22 H -0.287 1.287 23 H -0.276 1.276 24 C 0.523 3.477 25 O -0.529 6.529 26 C -0.089 4.089 27 C 0.048 3.952 28 H 0.098 0.902 29 H 0.104 0.896 30 H 0.115 0.885 31 H 0.078 0.922 32 H 0.050 0.950 33 H 0.066 0.934 34 H 0.374 0.626 35 H 0.037 0.963 36 H 0.079 0.921 37 H 0.058 0.942 38 H 0.109 0.891 39 H 0.063 0.937 40 H 0.072 0.928 41 H 0.079 0.921 42 H 0.087 0.913 43 H 0.074 0.926 44 H 0.070 0.930 45 H 0.069 0.931 46 H 0.064 0.936 47 H 0.016 0.984 48 H 0.019 0.981 49 H 0.262 0.738 50 H 0.078 0.922 51 H 0.070 0.930 52 H 0.070 0.930 53 H 0.048 0.952 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.306 -4.590 22.093 23.180 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 -0.221 4.221 2 C -0.202 4.202 3 C 0.122 3.878 4 C -0.176 4.176 5 O -0.356 6.356 6 C -0.093 4.093 7 N -0.249 5.249 8 C -0.109 4.109 9 C -0.124 4.124 10 C -0.098 4.098 11 C -0.163 4.163 12 C -0.022 4.022 13 N -0.344 5.344 14 C 0.008 3.992 15 C -0.024 4.024 16 C -0.562 4.562 17 H 0.074 0.926 18 C -0.142 4.142 19 N -0.532 5.532 20 Si 0.722 3.278 21 H -0.202 1.202 22 H -0.212 1.212 23 H -0.202 1.202 24 C 0.310 3.690 25 O -0.406 6.406 26 C -0.127 4.127 27 C -0.080 4.080 28 H 0.116 0.884 29 H 0.122 0.878 30 H 0.133 0.867 31 H 0.097 0.903 32 H 0.069 0.931 33 H 0.085 0.915 34 H 0.223 0.777 35 H 0.055 0.945 36 H 0.098 0.902 37 H 0.076 0.924 38 H 0.127 0.873 39 H 0.081 0.919 40 H 0.091 0.909 41 H 0.098 0.902 42 H 0.106 0.894 43 H 0.092 0.908 44 H 0.088 0.912 45 H 0.087 0.913 46 H 0.082 0.918 47 H 0.035 0.965 48 H 0.038 0.962 49 H 0.071 0.929 50 H 0.097 0.903 51 H 0.089 0.911 52 H 0.088 0.912 53 H 0.066 0.934 Dipole moment (debyes) X Y Z Total from point charges -5.172 -4.819 22.649 23.726 hybrid contribution -0.559 0.055 -2.584 2.644 sum -5.731 -4.763 20.065 21.404 Atomic orbital electron populations 1.23836 0.96066 1.02281 0.99960 1.23592 0.96687 0.98974 1.00902 1.20240 0.87789 0.83517 0.96213 1.21506 0.97929 1.03858 0.94279 1.86526 1.50513 1.48623 1.49935 1.22635 0.95944 0.94470 0.96215 1.61958 1.13240 1.01763 1.47933 1.22872 0.96488 0.87997 1.03495 1.21339 0.95279 0.98154 0.97651 1.21086 0.97207 0.96691 0.94824 1.22694 0.99749 0.97402 0.96444 1.22046 0.90696 1.00074 0.89416 1.48588 1.27909 1.42074 1.15866 1.21781 1.01094 0.98111 0.78224 1.19380 0.95309 0.95264 0.92458 1.21057 1.30157 1.13927 0.91033 0.92574 1.24998 0.95050 0.94889 0.99305 1.69962 1.32083 1.19935 1.31200 0.86616 0.78471 0.78679 0.83991 1.20169 1.21240 1.20153 1.20461 0.82680 0.78783 0.87110 1.90618 1.26969 1.51139 1.71920 1.21352 0.97050 0.91665 1.02657 1.22149 0.93337 0.98232 0.94291 0.88381 0.87812 0.86744 0.90280 0.93084 0.91528 0.77727 0.94457 0.90237 0.92374 0.87308 0.91866 0.90890 0.90230 0.89421 0.90789 0.91213 0.91302 0.91771 0.96545 0.96237 0.92884 0.90323 0.91107 0.91161 0.93385 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -1.44 13.93 29.02 0.40 -1.03 16 2 C -0.18 -1.53 8.77 -36.02 -0.32 -1.84 16 3 C 0.16 1.54 1.06 -91.77 -0.10 1.44 16 4 C -0.12 -1.09 8.48 37.15 0.32 -0.77 16 5 O -0.55 -5.45 8.65 -35.23 -0.30 -5.75 16 6 C 0.04 0.39 4.28 -3.82 -0.02 0.38 16 7 N -0.52 -6.40 3.68 -234.52 -0.86 -7.27 16 8 C 0.02 0.24 4.87 -3.77 -0.02 0.22 16 9 C -0.09 -1.06 4.77 -26.89 -0.13 -1.19 16 10 C -0.09 -1.28 0.55 -155.49 -0.09 -1.36 16 11 C -0.13 -1.37 6.21 -25.30 -0.16 -1.53 16 12 C 0.10 1.39 7.36 -3.03 -0.02 1.37 16 13 N -0.61 -11.24 2.94 -172.47 -0.51 -11.75 16 14 C 0.13 2.75 5.87 -4.05 -0.02 2.73 16 15 C 0.01 0.37 5.30 -27.88 -0.15 0.22 16 16 C -0.52 -14.95 9.11 -34.44 -0.31 -15.26 16 17 H 0.06 1.54 7.74 -52.49 -0.41 1.13 16 18 C 0.06 1.72 5.46 -17.82 -0.10 1.62 16 19 N -0.89 -27.14 13.29 55.43 0.74 -26.41 16 20 Si 0.89 21.83 29.54 -169.99 -5.02 16.81 16 21 H -0.28 -6.54 7.11 56.52 0.40 -6.14 16 22 H -0.29 -6.91 7.11 56.52 0.40 -6.51 16 23 H -0.28 -6.66 7.11 56.52 0.40 -6.25 16 24 C 0.52 9.64 6.32 -11.04 -0.07 9.57 16 25 O -0.53 -11.65 13.85 5.55 0.08 -11.57 16 26 C -0.09 -1.15 4.77 -26.89 -0.13 -1.28 16 27 C 0.05 0.66 5.24 -3.78 -0.02 0.64 16 28 H 0.10 0.65 8.06 -52.48 -0.42 0.23 16 29 H 0.10 0.78 6.41 -52.49 -0.34 0.45 16 30 H 0.11 0.84 8.06 -52.48 -0.42 0.42 16 31 H 0.08 0.82 7.63 -51.93 -0.40 0.42 16 32 H 0.05 0.46 8.14 -51.93 -0.42 0.03 16 33 H 0.07 0.55 8.14 -51.92 -0.42 0.13 16 34 H 0.37 3.00 8.05 45.56 0.37 3.37 16 35 H 0.04 0.46 8.11 -51.93 -0.42 0.04 16 36 H 0.08 0.80 7.93 -51.93 -0.41 0.39 16 37 H 0.06 0.96 5.78 -51.93 -0.30 0.66 16 38 H 0.11 1.35 4.85 -51.93 -0.25 1.10 16 39 H 0.06 0.79 8.14 -51.93 -0.42 0.37 16 40 H 0.07 0.80 8.14 -51.93 -0.42 0.37 16 41 H 0.08 0.77 7.89 -51.93 -0.41 0.36 16 42 H 0.09 0.77 7.87 -51.93 -0.41 0.36 16 43 H 0.07 0.89 8.14 -51.93 -0.42 0.47 16 44 H 0.07 0.97 8.14 -51.93 -0.42 0.55 16 45 H 0.07 1.56 7.94 -51.93 -0.41 1.15 16 46 H 0.06 1.26 8.14 -51.93 -0.42 0.84 16 47 H 0.02 0.45 8.14 -51.93 -0.42 0.03 16 48 H 0.02 0.58 8.14 -51.93 -0.42 0.15 16 49 H 0.26 7.50 8.31 -40.82 -0.34 7.16 16 50 H 0.08 0.86 8.14 -51.93 -0.42 0.44 16 51 H 0.07 0.99 8.14 -51.93 -0.42 0.57 16 52 H 0.07 0.87 7.98 -51.93 -0.41 0.45 16 53 H 0.05 0.84 6.68 -51.93 -0.35 0.50 16 LS Contribution 404.45 15.07 6.09 6.09 Total: -1.00 -33.22 404.45 -9.49 -42.70 By element: Atomic # 1 Polarization: 12.00 SS G_CDS: -8.78 Total: 3.22 kcal Atomic # 6 Polarization: -5.16 SS G_CDS: -0.92 Total: -6.08 kcal Atomic # 7 Polarization: -44.79 SS G_CDS: -0.63 Total: -45.42 kcal Atomic # 8 Polarization: -17.10 SS G_CDS: -0.23 Total: -17.32 kcal Atomic # 14 Polarization: 21.83 SS G_CDS: -5.02 Total: 16.81 kcal Total LS contribution 6.09 Total: 6.09 kcal Total: -33.22 -9.49 -42.70 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. ZINC001274614230.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 -18.880 kcal (2) G-P(sol) polarization free energy of solvation -33.215 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -52.095 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.488 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.703 kcal (6) G-S(sol) free energy of system = (1) + (5) -61.583 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.81 seconds