Wall clock time and date at job start Sat Apr 11 2020 06:19:21 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 1.53000 * 1 3 3 C 1.53008 * 109.47156 * 2 1 4 4 O 1.42894 * 109.47507 * 240.00110 * 2 1 3 5 5 C 1.52999 * 109.47450 * 119.99661 * 2 1 3 6 6 C 1.53004 * 109.47073 * 300.00480 * 5 2 1 7 7 C 1.53000 * 109.47450 * 179.97438 * 5 2 1 8 8 C 1.52998 * 109.46994 * 60.00061 * 5 2 1 9 9 N 1.46502 * 109.47360 * 180.02562 * 8 5 2 10 10 C 1.34772 * 120.00197 * 180.02562 * 9 8 5 11 11 O 1.21356 * 119.99888 * 359.97438 * 10 9 8 12 12 C 1.49451 * 120.00460 * 179.97438 * 10 9 8 13 13 O 1.21356 * 119.99460 * 353.37767 * 12 10 9 14 14 N 1.34768 * 120.00401 * 173.37707 * 12 10 9 15 15 C 1.46923 * 120.63140 * 353.06201 * 14 12 10 16 16 C 1.53197 * 108.77603 * 126.41596 * 15 14 12 17 17 C 1.53036 * 109.34037 * 54.62030 * 16 15 14 18 18 C 1.53043 * 109.53781 * 298.68543 * 17 16 15 19 19 H 1.08999 * 109.50224 * 301.34520 * 18 17 16 20 20 C 1.50699 * 109.49861 * 181.28187 * 18 17 16 21 21 H 1.08009 * 119.99826 * 0.06421 * 20 18 17 22 22 C 1.37874 * 120.00391 * 180.34183 * 20 18 17 23 23 N 1.31511 * 119.99935 * 359.72505 * 22 20 18 24 24 Si 1.86803 * 120.00371 * 179.72468 * 22 20 18 25 25 H 1.48501 * 109.46987 * 359.97438 * 24 22 20 26 26 H 1.48502 * 109.47049 * 119.99668 * 24 22 20 27 27 H 1.48495 * 109.47162 * 239.99991 * 24 22 20 28 28 C 1.46927 * 120.63303 * 173.08940 * 14 12 10 29 29 H 1.09004 * 109.47160 * 299.99888 * 1 2 3 30 30 H 1.08995 * 109.47027 * 60.00236 * 1 2 3 31 31 H 1.08995 * 109.46630 * 180.02562 * 1 2 3 32 32 H 1.08993 * 109.47322 * 180.02562 * 3 2 1 33 33 H 1.09003 * 109.46747 * 300.00387 * 3 2 1 34 34 H 1.08999 * 109.47020 * 59.99518 * 3 2 1 35 35 H 0.96701 * 114.00566 * 179.97438 * 4 2 1 36 36 H 1.09003 * 109.46831 * 180.02562 * 6 5 2 37 37 H 1.09005 * 109.46751 * 299.99289 * 6 5 2 38 38 H 1.08993 * 109.47444 * 59.99720 * 6 5 2 39 39 H 1.08996 * 109.46877 * 300.00445 * 7 5 2 40 40 H 1.09006 * 109.46889 * 60.00424 * 7 5 2 41 41 H 1.09004 * 109.47162 * 179.97438 * 7 5 2 42 42 H 1.09007 * 109.47352 * 60.00069 * 8 5 2 43 43 H 1.09007 * 109.46942 * 300.00212 * 8 5 2 44 44 H 0.97001 * 119.99571 * 359.97438 * 9 8 5 45 45 H 1.08998 * 109.59171 * 246.19792 * 15 14 12 46 46 H 1.09003 * 109.58922 * 6.48999 * 15 14 12 47 47 H 1.08995 * 109.50150 * 174.58993 * 16 15 14 48 48 H 1.09009 * 109.49617 * 294.68452 * 16 15 14 49 49 H 1.08997 * 109.49188 * 178.64856 * 17 16 15 50 50 H 1.09001 * 109.43006 * 58.68768 * 17 16 15 51 51 H 0.97000 * 120.00590 * 180.02562 * 23 22 20 52 52 H 1.09003 * 109.59192 * 113.79627 * 28 14 12 53 53 H 1.08998 * 109.70190 * 353.44355 * 28 14 12 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 1.4426 0.0000 4 8 2.0064 -0.6736 -1.1667 5 6 2.0401 -0.7212 1.2493 6 6 1.5300 0.0001 2.4985 7 6 3.5701 -0.7217 1.2489 8 6 1.5301 -2.1636 1.2493 9 7 2.0180 -2.8541 2.4458 10 6 1.6928 -4.1445 2.6589 11 8 0.9954 -4.7344 1.8599 12 6 2.1909 -4.8490 3.8792 13 8 2.9840 -4.2999 4.6155 14 7 1.7594 -6.0941 4.1618 15 6 0.6892 -6.7136 3.3685 16 6 1.1777 -8.0728 2.8576 17 6 1.6523 -8.9184 4.0415 18 6 2.8199 -8.2151 4.7374 19 1 3.6313 -8.0656 4.0251 20 6 3.3070 -9.0635 5.8837 21 1 2.8323 -10.0104 6.0946 22 6 4.3550 -8.6282 6.6668 23 7 4.9330 -7.4752 6.4101 24 14 4.9538 -9.6763 8.0925 25 1 4.1423 -10.9176 8.1694 26 1 6.3808 -10.0294 7.8822 27 1 4.8138 -8.9148 9.3597 28 6 2.3500 -6.8576 5.2696 29 1 -0.3634 0.5138 0.8900 30 1 -0.3633 0.5138 -0.8900 31 1 -0.3632 -1.0276 0.0005 32 1 3.1300 1.4426 -0.0005 33 1 1.6766 1.9564 -0.8900 34 1 1.6766 1.9564 0.8899 35 1 2.9704 -0.7114 -1.2331 36 1 1.8938 -0.5134 3.3885 37 1 1.8934 1.0278 2.4985 38 1 0.4401 0.0001 2.4985 39 1 3.9330 -1.2358 0.3590 40 1 3.9338 0.3059 1.2487 41 1 3.9334 -1.2351 2.1392 42 1 1.8935 -2.6776 0.3593 43 1 0.4401 -2.1636 1.2493 44 1 2.5757 -2.3826 3.0842 45 1 -0.1938 -6.8536 3.9921 46 1 0.4417 -6.0708 2.5236 47 1 0.3612 -8.5850 2.3488 48 1 2.0041 -7.9245 2.1624 49 1 1.9781 -9.8950 3.6834 50 1 0.8321 -9.0460 4.7479 51 1 5.6706 -7.1691 6.9608 52 1 1.6025 -7.0093 6.0483 53 1 3.1996 -6.3121 5.6800 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 ZINC001350854017.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 06:19:21 Heat of formation + Delta-G solvation = -118.579110 kcal Electronic energy + Delta-G solvation = -31600.546711 eV Core-core repulsion = 27472.442476 eV Total energy + Delta-G solvation = -4128.104235 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 2.37 seconds Orbital eigenvalues (eV) -40.78929 -39.92561 -38.15597 -36.84576 -35.77795 -33.75712 -33.13010 -31.71362 -31.15410 -29.72600 -28.75986 -27.47373 -26.58852 -25.35213 -24.93407 -23.14305 -21.86737 -21.72996 -20.28631 -19.22188 -18.78127 -17.56815 -16.75051 -16.47826 -16.17335 -15.81251 -15.54427 -15.19707 -14.98159 -14.89117 -14.57546 -14.49568 -13.94169 -13.78767 -13.62379 -13.31216 -13.06547 -12.83456 -12.70145 -12.58470 -12.58044 -12.39177 -12.25016 -12.22915 -12.05157 -11.76970 -11.61029 -11.52974 -11.36257 -11.22411 -10.99844 -10.67497 -10.65790 -10.44027 -10.27882 -10.14445 -10.01598 -9.86999 -9.20789 -9.17345 -9.10692 -8.50642 -8.40352 -7.81051 -6.02178 -4.10114 1.82719 2.73097 3.29149 3.37402 3.40932 3.67365 3.83650 3.99046 4.20332 4.25781 4.41408 4.41764 4.68152 4.74147 4.80284 4.82407 5.22302 5.26935 5.28510 5.32560 5.37446 5.44109 5.47869 5.52054 5.56224 5.60309 5.64190 5.66388 5.70892 5.71729 5.86718 5.91023 6.01113 6.05735 6.11147 6.28348 6.41099 6.62070 6.64839 6.77640 6.88557 7.00796 7.06814 7.19530 7.27229 7.32870 7.60158 7.84039 7.95975 8.02976 8.18711 8.36049 8.59494 8.94221 9.55406 11.03444 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.020501 B = 0.002515 C = 0.002340 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1365.489490 B =11129.303005 C =11961.632154 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.147 4.147 2 C 0.142 3.858 3 C -0.181 4.181 4 O -0.557 6.557 5 C -0.101 4.101 6 C -0.150 4.150 7 C -0.155 4.155 8 C 0.129 3.871 9 N -0.702 5.702 10 C 0.510 3.490 11 O -0.514 6.514 12 C 0.494 3.506 13 O -0.527 6.527 14 N -0.566 5.566 15 C 0.050 3.950 16 C -0.127 4.127 17 C -0.113 4.113 18 C 0.040 3.960 19 H 0.029 0.971 20 C -0.517 4.517 21 H 0.060 0.940 22 C 0.061 3.939 23 N -0.883 5.883 24 Si 0.893 3.107 25 H -0.273 1.273 26 H -0.284 1.284 27 H -0.284 1.284 28 C 0.108 3.892 29 H 0.074 0.926 30 H 0.063 0.937 31 H 0.068 0.932 32 H 0.062 0.938 33 H 0.063 0.937 34 H 0.070 0.930 35 H 0.375 0.625 36 H 0.062 0.938 37 H 0.064 0.936 38 H 0.064 0.936 39 H 0.060 0.940 40 H 0.065 0.935 41 H 0.066 0.934 42 H 0.079 0.921 43 H 0.074 0.926 44 H 0.411 0.589 45 H 0.054 0.946 46 H 0.144 0.856 47 H 0.058 0.942 48 H 0.058 0.942 49 H 0.050 0.950 50 H 0.049 0.951 51 H 0.263 0.737 52 H 0.047 0.953 53 H 0.123 0.877 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -7.490 18.049 -12.310 23.095 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 -0.204 4.204 2 C 0.101 3.899 3 C -0.239 4.239 4 O -0.363 6.363 5 C -0.102 4.102 6 C -0.207 4.207 7 C -0.212 4.212 8 C 0.006 3.994 9 N -0.356 5.356 10 C 0.293 3.707 11 O -0.392 6.392 12 C 0.275 3.725 13 O -0.404 6.404 14 N -0.298 5.298 15 C -0.072 4.072 16 C -0.165 4.165 17 C -0.151 4.151 18 C 0.021 3.979 19 H 0.047 0.953 20 C -0.556 4.556 21 H 0.078 0.922 22 C -0.141 4.141 23 N -0.521 5.521 24 Si 0.721 3.279 25 H -0.198 1.198 26 H -0.210 1.210 27 H -0.210 1.210 28 C -0.012 4.012 29 H 0.092 0.908 30 H 0.082 0.918 31 H 0.087 0.913 32 H 0.081 0.919 33 H 0.082 0.918 34 H 0.089 0.911 35 H 0.223 0.777 36 H 0.081 0.919 37 H 0.083 0.917 38 H 0.083 0.917 39 H 0.079 0.921 40 H 0.084 0.916 41 H 0.085 0.915 42 H 0.097 0.903 43 H 0.093 0.907 44 H 0.248 0.752 45 H 0.072 0.928 46 H 0.160 0.840 47 H 0.077 0.923 48 H 0.076 0.924 49 H 0.069 0.931 50 H 0.067 0.933 51 H 0.073 0.927 52 H 0.066 0.934 53 H 0.141 0.859 Dipole moment (debyes) X Y Z Total from point charges -8.062 17.960 -12.510 23.325 hybrid contribution 1.285 -0.383 1.308 1.873 sum -6.777 17.577 -11.203 21.917 Atomic orbital electron populations 1.21911 0.92577 1.03356 1.02573 1.21063 0.94859 0.90402 0.83576 1.22589 1.01832 0.96503 1.02949 1.86577 1.26818 1.79448 1.43496 1.21445 0.96794 0.95031 0.96953 1.22042 1.01726 1.00503 0.96458 1.22031 0.93701 1.02454 1.03046 1.21484 0.99474 0.90714 0.87751 1.45914 1.52799 1.11418 1.25499 1.20765 0.80283 0.82349 0.87319 1.90305 1.37620 1.63989 1.47249 1.19780 0.83500 0.83417 0.85768 1.90749 1.34698 1.65425 1.49578 1.48431 1.35564 1.13067 1.32729 1.23086 0.88708 0.97142 0.98265 1.21851 1.00317 0.95591 0.98781 1.21666 0.99407 0.98171 0.95854 1.18980 0.92416 0.90921 0.95588 0.95270 1.21141 1.16049 1.04834 1.13571 0.92191 1.25063 0.96259 0.95129 0.97668 1.69881 1.23532 1.19440 1.39214 0.86514 0.78617 0.80463 0.82295 1.19762 1.20999 1.20969 1.22476 0.98460 0.94530 0.85698 0.90755 0.91805 0.91306 0.91882 0.91772 0.91127 0.77681 0.91911 0.91694 0.91718 0.92073 0.91642 0.91505 0.90314 0.90749 0.75170 0.92789 0.83962 0.92286 0.92354 0.93078 0.93266 0.92719 0.93430 0.85891 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 -0.15 -1.05 8.14 37.16 0.30 -0.75 16 2 C 0.14 1.00 0.61 -90.62 -0.06 0.94 16 3 C -0.18 -1.01 8.11 37.16 0.30 -0.71 16 4 O -0.56 -4.62 12.26 -35.23 -0.43 -5.05 16 5 C -0.10 -0.76 0.16 -154.51 -0.03 -0.79 16 6 C -0.15 -1.04 7.60 37.16 0.28 -0.76 16 7 C -0.16 -1.11 7.64 37.16 0.28 -0.82 16 8 C 0.13 1.35 4.06 -4.04 -0.02 1.33 16 9 N -0.70 -9.04 4.95 -60.72 -0.30 -9.34 16 10 C 0.51 8.53 7.78 -11.59 -0.09 8.44 16 11 O -0.51 -9.00 13.10 5.49 0.07 -8.93 16 12 C 0.49 10.09 7.74 -11.59 -0.09 10.00 16 13 O -0.53 -12.01 15.95 5.49 0.09 -11.92 16 14 N -0.57 -12.00 2.97 -173.27 -0.51 -12.52 16 15 C 0.05 0.91 6.27 -3.71 -0.02 0.88 16 16 C -0.13 -2.32 6.08 -26.61 -0.16 -2.48 16 17 C -0.11 -2.37 5.11 -26.69 -0.14 -2.51 16 18 C 0.04 1.01 2.25 -91.65 -0.21 0.80 16 19 H 0.03 0.82 8.14 -51.93 -0.42 0.40 16 20 C -0.52 -14.10 8.57 -34.44 -0.30 -14.40 16 21 H 0.06 1.61 7.74 -52.48 -0.41 1.20 16 22 C 0.06 1.69 5.30 -17.82 -0.09 1.60 16 23 N -0.88 -25.51 11.38 55.43 0.63 -24.88 16 24 Si 0.89 21.23 29.54 -169.99 -5.02 16.20 16 25 H -0.27 -6.37 7.11 56.52 0.40 -5.97 16 26 H -0.28 -6.73 7.11 56.52 0.40 -6.33 16 27 H -0.28 -6.71 7.11 56.52 0.40 -6.31 16 28 C 0.11 2.66 5.38 -3.71 -0.02 2.64 16 29 H 0.07 0.43 6.43 -51.93 -0.33 0.10 16 30 H 0.06 0.45 8.14 -51.93 -0.42 0.02 16 31 H 0.07 0.56 6.43 -51.93 -0.33 0.23 16 32 H 0.06 0.31 6.43 -51.93 -0.33 -0.02 16 33 H 0.06 0.37 8.14 -51.93 -0.42 -0.05 16 34 H 0.07 0.35 6.43 -51.93 -0.33 0.01 16 35 H 0.37 2.12 7.33 45.56 0.33 2.46 16 36 H 0.06 0.50 6.86 -51.93 -0.36 0.14 16 37 H 0.06 0.37 6.43 -51.93 -0.33 0.03 16 38 H 0.06 0.43 6.43 -51.93 -0.33 0.10 16 39 H 0.06 0.41 6.78 -51.93 -0.35 0.06 16 40 H 0.06 0.38 6.43 -51.93 -0.33 0.04 16 41 H 0.07 0.56 6.86 -51.93 -0.36 0.21 16 42 H 0.08 0.92 7.68 -51.93 -0.40 0.52 16 43 H 0.07 0.80 6.43 -51.93 -0.33 0.46 16 44 H 0.41 5.04 5.65 -40.82 -0.23 4.81 16 45 H 0.05 0.92 8.14 -51.93 -0.42 0.50 16 46 H 0.14 2.53 3.78 -56.75 -0.21 2.32 16 47 H 0.06 0.91 8.14 -51.93 -0.42 0.49 16 48 H 0.06 1.11 8.14 -51.92 -0.42 0.69 16 49 H 0.05 1.05 8.14 -51.93 -0.42 0.62 16 50 H 0.05 1.00 8.14 -51.93 -0.42 0.58 16 51 H 0.26 7.27 8.31 -40.82 -0.34 6.93 16 52 H 0.05 1.16 8.14 -51.93 -0.42 0.74 16 53 H 0.12 3.45 5.17 -51.93 -0.27 3.18 16 LS Contribution 393.16 15.07 5.92 5.92 Total: -1.00 -31.48 393.16 -7.46 -38.94 By element: Atomic # 1 Polarization: 16.01 SS G_CDS: -7.86 Total: 8.15 kcal Atomic # 6 Polarization: 3.46 SS G_CDS: -0.04 Total: 3.42 kcal Atomic # 7 Polarization: -46.55 SS G_CDS: -0.18 Total: -46.74 kcal Atomic # 8 Polarization: -25.63 SS G_CDS: -0.27 Total: -25.90 kcal Atomic # 14 Polarization: 21.23 SS G_CDS: -5.02 Total: 16.20 kcal Total LS contribution 5.92 Total: 5.92 kcal Total: -31.48 -7.46 -38.94 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. ZINC001350854017.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 -79.639 kcal (2) G-P(sol) polarization free energy of solvation -31.483 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -111.122 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.457 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.940 kcal (6) G-S(sol) free energy of system = (1) + (5) -118.579 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 2.37 seconds