Wall clock time and date at job start Tue Mar 31 2020 20:06:55 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 1.53004 * 109.47359 * 2 1 4 4 C 1.52999 * 109.47176 * 180.02562 * 3 2 1 5 5 H 1.08995 * 109.47487 * 54.99338 * 4 3 2 6 6 C 1.52997 * 109.47352 * 174.99872 * 4 3 2 7 7 N 1.46502 * 109.46560 * 294.99508 * 4 3 2 8 8 C 1.46770 * 124.34753 * 119.95611 * 7 4 3 9 9 C 1.54484 * 105.47067 * 197.03660 * 8 7 4 10 10 H 1.08995 * 111.00186 * 92.71924 * 9 8 7 11 11 C 1.50703 * 110.96717 * 216.46557 * 9 8 7 12 12 O 1.21284 * 119.99876 * 353.82987 * 11 9 8 13 13 N 1.34775 * 119.99872 * 173.83832 * 11 9 8 14 14 C 1.46932 * 120.62739 * 180.02562 * 13 11 9 15 15 C 1.53190 * 108.76939 * 233.57971 * 14 13 11 16 16 C 1.53037 * 109.31532 * 305.36410 * 15 14 13 17 17 C 1.50702 * 109.45981 * 181.38638 * 16 15 14 18 18 H 1.08002 * 120.00299 * 359.97438 * 17 16 15 19 19 C 1.37884 * 119.99942 * 179.69441 * 17 16 15 20 20 N 1.31514 * 119.99985 * 180.27663 * 19 17 16 21 21 Si 1.86800 * 119.99777 * 0.28166 * 19 17 16 22 22 H 1.48498 * 109.47109 * 89.99834 * 21 19 17 23 23 H 1.48507 * 109.46754 * 209.99574 * 21 19 17 24 24 H 1.48498 * 109.47278 * 329.99405 * 21 19 17 25 25 C 1.53041 * 109.52647 * 61.37487 * 16 15 14 26 26 C 1.46923 * 120.63053 * 359.96694 * 13 11 9 27 27 C 1.54624 * 101.76381 * 334.58243 * 9 8 7 28 28 C 1.34420 * 124.35307 * 299.97781 * 7 4 3 29 29 O 1.21284 * 124.94150 * 359.60491 * 28 7 4 30 30 H 1.09000 * 109.46779 * 300.00588 * 1 2 3 31 31 H 1.08998 * 109.47262 * 59.99494 * 1 2 3 32 32 H 1.08992 * 109.47542 * 180.02562 * 1 2 3 33 33 H 1.09005 * 109.46954 * 239.99868 * 2 1 3 34 34 H 1.09002 * 109.47313 * 119.99745 * 2 1 3 35 35 H 1.08988 * 109.47296 * 59.99754 * 3 2 1 36 36 H 1.09008 * 109.46949 * 299.99800 * 3 2 1 37 37 H 1.09007 * 109.46944 * 59.99132 * 6 4 3 38 38 H 1.08997 * 109.47708 * 179.97438 * 6 4 3 39 39 H 1.08997 * 109.47249 * 299.99822 * 6 4 3 40 40 H 1.08997 * 110.24410 * 78.03510 * 8 7 4 41 41 H 1.08999 * 110.24321 * 316.03316 * 8 7 4 42 42 H 1.09003 * 109.58564 * 113.79920 * 14 13 11 43 43 H 1.08996 * 109.70715 * 353.43719 * 14 13 11 44 44 H 1.09001 * 109.49434 * 185.41394 * 15 14 13 45 45 H 1.09002 * 109.49829 * 65.31970 * 15 14 13 46 46 H 1.09001 * 109.46441 * 301.36008 * 16 15 14 47 47 H 0.96996 * 119.99730 * 180.02562 * 20 19 17 48 48 H 1.08997 * 109.49543 * 58.57927 * 25 16 15 49 49 H 1.09004 * 109.49532 * 178.67458 * 25 16 15 50 50 H 1.08999 * 109.58851 * 246.20453 * 26 13 11 51 51 H 1.08996 * 109.59038 * 6.49236 * 26 13 11 52 52 H 1.09006 * 110.48564 * 143.47806 * 27 9 8 53 53 H 1.08999 * 110.48745 * 265.98273 * 27 9 8 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 1.4425 0.0000 4 6 3.5700 1.4425 -0.0006 5 1 3.9330 0.8531 -0.8426 6 6 4.0801 2.8794 -0.1264 7 7 4.0587 0.8586 1.2510 8 6 4.9052 -0.3377 1.3317 9 6 4.8007 -0.8184 2.7961 10 1 4.0072 -1.5571 2.9091 11 6 6.1183 -1.3682 3.2786 12 8 7.0442 -1.4903 2.5048 13 7 6.2675 -1.7244 4.5698 14 6 7.5462 -2.2614 5.0551 15 6 7.2858 -3.6010 5.7513 16 6 6.2305 -3.4076 6.8426 17 6 5.9965 -4.7163 7.5523 18 1 6.5451 -5.5977 7.2546 19 6 5.0863 -4.7871 8.5856 20 7 4.8861 -5.9279 9.2085 21 14 4.1374 -3.2626 9.1004 22 1 2.8745 -3.1799 8.3237 23 1 3.8230 -3.3413 10.5497 24 1 4.9604 -2.0549 8.8373 25 6 4.9216 -2.9298 6.2096 26 6 5.1552 -1.5819 5.5191 27 6 4.4449 0.4931 3.5338 28 6 3.7892 1.3494 2.4730 29 8 3.1176 2.3350 2.6931 30 1 -0.3633 0.5139 0.8899 31 1 -0.3634 0.5139 -0.8899 32 1 -0.3634 -1.0276 0.0005 33 1 1.8933 -0.5139 -0.8900 34 1 1.8933 -0.5138 0.8900 35 1 1.6767 1.9563 0.8899 36 1 1.6767 1.9564 -0.8901 37 1 3.7170 3.4688 0.7156 38 1 5.1700 2.8795 -0.1264 39 1 3.7164 3.3139 -1.0576 40 1 5.9378 -0.0861 1.0901 41 1 4.5354 -1.1077 0.6546 42 1 7.9910 -1.5622 5.7631 43 1 8.2242 -2.4119 4.2151 44 1 8.2107 -3.9637 6.1997 45 1 6.9259 -4.3263 5.0215 46 1 6.5804 -2.6638 7.5584 47 1 4.2455 -5.9778 9.9351 48 1 4.5842 -3.6615 5.4755 49 1 4.1635 -2.8148 6.9843 50 1 5.4056 -0.8274 6.2647 51 1 4.2543 -1.2820 4.9840 52 1 3.7485 0.2956 4.3488 53 1 5.3466 0.9747 3.9122 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 ZINC000541053607.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 20:06:55 Heat of formation + Delta-G solvation = -80.659286 kcal Electronic energy + Delta-G solvation = -30865.142101 eV Core-core repulsion = 26929.138245 eV Total energy + Delta-G solvation = -3936.003856 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.05 seconds Orbital eigenvalues (eV) -41.24584 -39.71990 -37.32868 -36.77884 -35.86912 -33.76131 -33.12363 -31.66874 -30.91343 -29.85946 -27.96622 -26.96728 -26.62898 -24.04968 -22.98808 -22.61452 -22.16868 -21.65041 -19.92812 -19.13771 -18.68184 -17.48710 -17.01602 -16.77146 -16.20806 -15.99383 -15.26168 -15.05468 -14.95871 -14.65875 -14.28304 -14.01327 -13.94679 -13.80182 -13.60028 -13.34325 -13.25154 -12.96472 -12.92567 -12.65777 -12.56363 -12.32214 -12.23343 -12.17862 -11.94721 -11.90534 -11.69130 -11.51227 -11.22091 -11.08586 -10.99888 -10.94566 -10.81916 -10.26357 -10.23581 -9.97385 -9.82635 -9.58631 -9.39215 -9.15731 -8.89445 -8.62953 -8.32976 -6.15165 -4.14995 2.40147 2.58459 2.67762 3.09621 3.16899 3.27163 3.32342 3.98740 4.09914 4.31384 4.40105 4.46664 4.63624 4.68352 4.73157 4.87001 4.94535 5.04793 5.08289 5.19385 5.21151 5.23686 5.33990 5.36105 5.40920 5.49249 5.50608 5.54858 5.56318 5.59553 5.64598 5.67946 5.74183 5.78699 5.86511 5.89619 5.91897 5.96438 6.05714 6.08840 6.20819 6.41342 6.51146 6.56098 6.66392 6.78429 6.91061 7.09933 7.39813 7.54531 7.66985 7.99138 8.18923 8.43837 8.89218 9.46435 10.98192 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.015126 B = 0.003007 C = 0.002772 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1850.718222 B = 9309.707787 C =10100.342757 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 -0.122 4.122 3 C -0.137 4.137 4 C 0.156 3.844 5 H 0.088 0.912 6 C -0.168 4.168 7 N -0.613 5.613 8 C 0.120 3.880 9 C -0.123 4.123 10 H 0.119 0.881 11 C 0.526 3.474 12 O -0.547 6.547 13 N -0.595 5.595 14 C 0.108 3.892 15 C -0.113 4.113 16 C 0.015 3.985 17 C -0.514 4.514 18 H 0.074 0.926 19 C 0.068 3.932 20 N -0.900 5.900 21 Si 0.885 3.115 22 H -0.278 1.278 23 H -0.297 1.297 24 H -0.264 1.264 25 C -0.136 4.136 26 C 0.095 3.905 27 C -0.150 4.150 28 C 0.523 3.477 29 O -0.528 6.528 30 H 0.053 0.947 31 H 0.052 0.948 32 H 0.053 0.947 33 H 0.059 0.941 34 H 0.061 0.939 35 H 0.080 0.920 36 H 0.072 0.928 37 H 0.071 0.929 38 H 0.057 0.943 39 H 0.066 0.934 40 H 0.090 0.910 41 H 0.084 0.916 42 H 0.063 0.937 43 H 0.085 0.915 44 H 0.069 0.931 45 H 0.059 0.941 46 H 0.028 0.972 47 H 0.264 0.736 48 H 0.066 0.934 49 H 0.059 0.941 50 H 0.068 0.932 51 H 0.077 0.923 52 H 0.112 0.888 53 H 0.109 0.891 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.871 14.399 -18.271 23.583 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 -0.209 4.209 2 C -0.159 4.159 3 C -0.175 4.175 4 C 0.054 3.946 5 H 0.106 0.894 6 C -0.226 4.226 7 N -0.348 5.348 8 C -0.003 4.003 9 C -0.145 4.145 10 H 0.137 0.863 11 C 0.313 3.687 12 O -0.426 6.426 13 N -0.326 5.326 14 C -0.013 4.013 15 C -0.151 4.151 16 C -0.004 4.004 17 C -0.552 4.552 18 H 0.092 0.908 19 C -0.133 4.133 20 N -0.538 5.538 21 Si 0.715 3.285 22 H -0.205 1.205 23 H -0.224 1.224 24 H -0.189 1.189 25 C -0.174 4.174 26 C -0.027 4.027 27 C -0.190 4.190 28 C 0.311 3.689 29 O -0.405 6.405 30 H 0.073 0.927 31 H 0.071 0.929 32 H 0.073 0.927 33 H 0.078 0.922 34 H 0.080 0.920 35 H 0.098 0.902 36 H 0.090 0.910 37 H 0.091 0.909 38 H 0.076 0.924 39 H 0.085 0.915 40 H 0.108 0.892 41 H 0.102 0.898 42 H 0.082 0.918 43 H 0.103 0.897 44 H 0.088 0.912 45 H 0.078 0.922 46 H 0.046 0.954 47 H 0.074 0.926 48 H 0.085 0.915 49 H 0.077 0.923 50 H 0.086 0.914 51 H 0.096 0.904 52 H 0.131 0.869 53 H 0.127 0.873 Dipole moment (debyes) X Y Z Total from point charges -3.846 14.785 -18.477 23.975 hybrid contribution -0.714 0.477 0.552 1.021 sum -4.560 15.262 -17.925 23.980 Atomic orbital electron populations 1.21752 0.95793 1.01618 1.01733 1.21493 0.95966 0.96559 1.01919 1.22056 0.94231 0.97628 1.03561 1.21005 0.94040 0.94575 0.84936 0.89362 1.22177 1.01383 0.96059 1.02995 1.48437 1.51031 1.29068 1.06226 1.21981 0.96324 0.86816 0.95212 1.22216 0.97995 0.98225 0.96083 0.86345 1.19954 0.88797 0.77977 0.82009 1.90675 1.41999 1.55686 1.54238 1.48090 1.14307 1.61950 1.08296 1.21810 0.84310 0.96288 0.98915 1.21828 1.00519 0.94472 0.98299 1.19130 0.90421 0.97664 0.93202 1.21036 1.23521 0.94836 1.15830 0.90833 1.25056 0.96669 0.95703 0.95902 1.69895 1.35483 1.25022 1.23369 0.86884 0.80444 0.84279 0.76878 1.20496 1.22404 1.18943 1.22401 1.01309 0.94191 0.99507 1.22142 0.88498 0.99965 0.92105 1.22539 1.03503 0.94473 0.98481 1.20688 0.79652 0.84422 0.84134 1.90697 1.39593 1.26355 1.83817 0.92741 0.92885 0.92744 0.92218 0.92013 0.90157 0.90956 0.90948 0.92380 0.91510 0.89152 0.89784 0.91845 0.89703 0.91244 0.92236 0.95356 0.92602 0.91522 0.92300 0.91406 0.90445 0.86937 0.87329 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 -1.17 9.91 37.16 0.37 -0.80 16 2 C -0.12 -0.97 5.82 -26.73 -0.16 -1.13 16 3 C -0.14 -1.15 4.64 -26.73 -0.12 -1.27 16 4 C 0.16 1.31 2.87 -67.93 -0.19 1.12 16 5 H 0.09 0.60 8.07 -51.93 -0.42 0.18 16 6 C -0.17 -1.43 9.20 37.16 0.34 -1.08 16 7 N -0.61 -5.99 2.28 -164.84 -0.38 -6.36 16 8 C 0.12 1.13 6.62 -3.12 -0.02 1.11 16 9 C -0.12 -1.28 2.57 -90.14 -0.23 -1.51 16 10 H 0.12 1.10 7.83 -51.93 -0.41 0.69 16 11 C 0.53 7.21 7.01 -10.98 -0.08 7.13 16 12 O -0.55 -8.92 14.99 5.55 0.08 -8.84 16 13 N -0.59 -8.66 2.97 -172.74 -0.51 -9.17 16 14 C 0.11 1.67 6.43 -3.71 -0.02 1.65 16 15 C -0.11 -2.05 5.30 -26.61 -0.14 -2.19 16 16 C 0.01 0.31 1.65 -91.73 -0.15 0.16 16 17 C -0.51 -13.55 9.14 -34.44 -0.31 -13.87 16 18 H 0.07 2.13 7.99 -52.49 -0.42 1.71 16 19 C 0.07 1.87 5.45 -17.82 -0.10 1.78 16 20 N -0.90 -26.61 13.96 55.43 0.77 -25.83 16 21 Si 0.88 20.47 24.38 -169.99 -4.14 16.32 16 22 H -0.28 -6.18 6.86 56.52 0.39 -5.79 16 23 H -0.30 -7.03 7.11 56.52 0.40 -6.63 16 24 H -0.26 -5.71 6.52 56.52 0.37 -5.34 16 25 C -0.14 -2.54 4.85 -26.59 -0.13 -2.67 16 26 C 0.10 1.37 5.66 -3.69 -0.02 1.34 16 27 C -0.15 -1.54 5.16 -26.75 -0.14 -1.68 16 28 C 0.52 6.18 7.39 -10.86 -0.08 6.10 16 29 O -0.53 -7.82 15.07 5.55 0.08 -7.73 16 30 H 0.05 0.46 8.14 -51.93 -0.42 0.03 16 31 H 0.05 0.36 8.14 -51.93 -0.42 -0.06 16 32 H 0.05 0.40 8.14 -51.93 -0.42 -0.02 16 33 H 0.06 0.42 8.14 -51.93 -0.42 0.00 16 34 H 0.06 0.56 7.75 -51.93 -0.40 0.16 16 35 H 0.08 0.88 6.65 -51.94 -0.35 0.53 16 36 H 0.07 0.51 8.14 -51.92 -0.42 0.09 16 37 H 0.07 0.78 6.77 -51.93 -0.35 0.43 16 38 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 39 H 0.07 0.44 8.14 -51.93 -0.42 0.02 16 40 H 0.09 0.96 7.06 -51.93 -0.37 0.59 16 41 H 0.08 0.67 8.14 -51.93 -0.42 0.25 16 42 H 0.06 0.92 8.14 -51.93 -0.42 0.49 16 43 H 0.08 1.30 7.01 -51.93 -0.36 0.94 16 44 H 0.07 1.24 8.14 -51.93 -0.42 0.82 16 45 H 0.06 1.12 8.14 -51.93 -0.42 0.70 16 46 H 0.03 0.61 7.19 -51.93 -0.37 0.24 16 47 H 0.26 7.35 8.31 -40.82 -0.34 7.01 16 48 H 0.07 1.26 8.14 -51.93 -0.42 0.84 16 49 H 0.06 1.18 3.27 -51.93 -0.17 1.01 16 50 H 0.07 0.94 8.14 -51.93 -0.42 0.52 16 51 H 0.08 0.90 4.36 -51.93 -0.23 0.67 16 52 H 0.11 1.07 6.67 -51.93 -0.35 0.72 16 53 H 0.11 1.13 7.89 -51.93 -0.41 0.72 16 LS Contribution 396.47 15.07 5.97 5.97 Total: -1.00 -31.28 396.47 -8.59 -39.87 By element: Atomic # 1 Polarization: 10.87 SS G_CDS: -9.28 Total: 1.59 kcal Atomic # 6 Polarization: -4.62 SS G_CDS: -1.19 Total: -5.81 kcal Atomic # 7 Polarization: -41.25 SS G_CDS: -0.12 Total: -41.37 kcal Atomic # 8 Polarization: -16.74 SS G_CDS: 0.17 Total: -16.57 kcal Atomic # 14 Polarization: 20.47 SS G_CDS: -4.14 Total: 16.32 kcal Total LS contribution 5.97 Total: 5.97 kcal Total: -31.28 -8.59 -39.87 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. ZINC000541053607.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 -40.787 kcal (2) G-P(sol) polarization free energy of solvation -31.285 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -72.072 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.588 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.873 kcal (6) G-S(sol) free energy of system = (1) + (5) -80.659 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.05 seconds