Wall clock time and date at job start Sat Apr 11 2020 06:09:37 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 1.50700 * 1 3 3 O 1.21279 * 120.00113 * 2 1 4 4 N 1.34784 * 119.99961 * 179.97438 * 2 1 3 5 5 C 1.47144 * 120.90943 * 359.71935 * 4 2 1 6 6 C 1.52901 * 108.45567 * 230.14400 * 5 4 2 7 7 O 1.42843 * 109.26729 * 308.19402 * 6 5 4 8 8 C 1.43785 * 113.97200 * 63.60012 * 7 6 5 9 9 C 1.47021 * 120.90805 * 180.02562 * 4 2 1 10 10 C 1.46669 * 111.48250 * 173.31404 * 8 7 6 11 11 O 1.44102 * 111.91126 * 299.59189 * 10 8 7 12 12 C 1.40037 * 112.74443 * 279.19628 * 11 10 8 13 13 C 1.54121 * 112.67493 * 94.90315 * 12 11 10 14 14 N 1.48760 * 111.87219 * 319.11197 * 13 12 11 15 15 C 1.46905 * 110.99742 * 192.01586 * 14 13 12 16 16 H 1.09003 * 109.46546 * 178.95141 * 15 14 13 17 17 C 1.53001 * 109.47020 * 58.95442 * 15 14 13 18 18 C 1.52996 * 109.46885 * 298.95325 * 15 14 13 19 19 C 1.52994 * 109.47541 * 294.99748 * 18 15 14 20 20 C 1.50701 * 109.47565 * 180.02562 * 19 18 15 21 21 H 1.08001 * 119.99414 * 0.02562 * 20 19 18 22 22 C 1.37872 * 120.00419 * 180.02562 * 20 19 18 23 23 N 1.31513 * 119.99668 * 0.02562 * 22 20 19 24 24 Si 1.86797 * 120.00410 * 179.97438 * 22 20 19 25 25 H 1.48500 * 109.47104 * 59.99976 * 24 22 20 26 26 H 1.48497 * 109.47393 * 180.02562 * 24 22 20 27 27 H 1.48503 * 109.47148 * 300.00363 * 24 22 20 28 28 C 1.43799 * 114.50106 * 318.65849 * 14 13 12 29 29 H 1.08997 * 109.47392 * 239.99793 * 1 2 3 30 30 H 1.08998 * 109.47055 * 0.02562 * 1 2 3 31 31 H 1.09004 * 109.46932 * 120.00455 * 1 2 3 32 32 H 1.08995 * 109.71499 * 349.89168 * 5 4 2 33 33 H 1.09007 * 109.71221 * 110.51664 * 5 4 2 34 34 H 1.08996 * 109.58883 * 188.18780 * 6 5 4 35 35 H 1.08997 * 109.36464 * 68.06148 * 6 5 4 36 36 H 1.08999 * 109.68304 * 248.39368 * 9 4 2 37 37 H 1.09001 * 109.68589 * 8.95505 * 9 4 2 38 38 H 1.09002 * 108.98935 * 60.21743 * 10 8 7 39 39 H 1.08999 * 108.99306 * 178.96570 * 10 8 7 40 40 H 1.09008 * 108.84283 * 215.72581 * 12 11 10 41 41 H 1.08999 * 108.84595 * 334.07485 * 12 11 10 42 42 H 1.08998 * 109.00472 * 79.72925 * 13 12 11 43 43 H 1.09003 * 109.00049 * 198.57583 * 13 12 11 44 44 H 1.08997 * 109.47002 * 299.99683 * 17 15 14 45 45 H 1.08999 * 109.46813 * 60.00028 * 17 15 14 46 46 H 1.09002 * 109.47104 * 179.97438 * 17 15 14 47 47 H 1.08993 * 109.47568 * 55.00857 * 18 15 14 48 48 H 1.09012 * 109.46546 * 175.00185 * 18 15 14 49 49 H 1.09005 * 109.47332 * 300.00783 * 19 18 15 50 50 H 1.09001 * 109.47007 * 60.00148 * 19 18 15 51 51 H 0.97002 * 120.00103 * 179.97438 * 23 22 20 52 52 H 1.08997 * 109.56907 * 333.51737 * 28 14 13 53 53 H 1.09005 * 109.56484 * 213.17446 * 28 14 13 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 1.5070 0.0000 0.0000 3 8 2.1134 1.0503 0.0000 4 7 2.1809 -1.1673 0.0005 5 6 1.4655 -2.4531 0.0073 6 6 2.0471 -3.3247 1.1207 7 8 3.4676 -3.3815 0.9816 8 6 4.1216 -2.1111 1.1420 9 6 3.6509 -1.1906 0.0011 10 6 5.5812 -2.2550 1.1461 11 8 6.0355 -3.0973 2.2235 12 6 6.1095 -2.4192 3.4465 13 6 4.8393 -2.5956 4.3014 14 7 3.6025 -2.5229 3.4780 15 6 2.4102 -2.4066 4.3282 16 1 1.5218 -2.3365 3.7004 17 6 2.5224 -1.1509 5.1950 18 6 2.3031 -3.6395 5.2277 19 6 2.0659 -4.8809 4.3656 20 6 1.9598 -6.0953 5.2517 21 1 2.0520 -5.9918 6.3228 22 6 1.7452 -7.3383 4.6952 23 7 1.6335 -7.4643 3.3909 24 14 1.6144 -8.8436 5.7935 25 1 0.4797 -8.6717 6.7358 26 1 1.3853 -10.0486 4.9566 27 1 2.8750 -9.0071 6.5613 28 6 3.6176 -1.4989 2.4685 29 1 -0.3634 -0.5138 0.8899 30 1 -0.3633 1.0276 -0.0005 31 1 -0.3633 -0.5139 -0.8900 32 1 0.4048 -2.2827 0.1914 33 1 1.5970 -2.9520 -0.9529 34 1 1.6339 -4.3309 1.0508 35 1 1.7930 -2.8922 2.0884 36 1 4.0124 -1.5745 -0.9529 37 1 4.0341 -0.1827 0.1608 38 1 5.8973 -2.6901 0.1980 39 1 6.0345 -1.2693 1.2510 40 1 6.9657 -2.7956 4.0064 41 1 6.2582 -1.3571 3.2518 42 1 4.8780 -3.5646 4.7989 43 1 4.8081 -1.8103 5.0567 44 1 3.4107 -1.2209 5.8227 45 1 2.5987 -0.2726 4.5541 46 1 1.6375 -1.0643 5.8255 47 1 3.2284 -3.7597 5.7911 48 1 1.4703 -3.5131 5.9197 49 1 1.1405 -4.7607 3.8022 50 1 2.8986 -5.0073 3.6737 51 1 1.4829 -8.3388 2.9992 52 1 4.2845 -0.6933 2.7754 53 1 2.6096 -1.1077 2.3302 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 ZINC001172498553.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 06:09:37 Heat of formation + Delta-G solvation = -92.008767 kcal Electronic energy + Delta-G solvation = -33885.244520 eV Core-core repulsion = 29758.292461 eV Total energy + Delta-G solvation = -4126.952058 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.35 seconds Orbital eigenvalues (eV) -41.08800 -39.42038 -37.63175 -37.25944 -34.64676 -33.50581 -32.94540 -31.58691 -30.22691 -29.52268 -28.99885 -27.71197 -26.18009 -25.41499 -24.60233 -23.13469 -22.19391 -21.00024 -20.20741 -19.32770 -18.63387 -17.35294 -17.07431 -16.61338 -16.16768 -16.03713 -15.72358 -15.46964 -15.12232 -14.77929 -14.59819 -14.41177 -13.97879 -13.80176 -13.62950 -13.40372 -13.14914 -12.94162 -12.83899 -12.73877 -12.54211 -12.31724 -12.23198 -11.94374 -11.84991 -11.63811 -11.38656 -11.18692 -11.17793 -10.95785 -10.81422 -10.68333 -10.44009 -10.31328 -10.10249 -9.92163 -9.74114 -9.57143 -9.41471 -9.15553 -8.87020 -8.46216 -8.19699 -7.59986 -5.85905 -3.86529 2.46725 2.79720 3.39480 3.44201 3.46479 3.63030 4.06672 4.26393 4.43378 4.55968 4.74256 4.80935 4.94230 4.98098 5.07472 5.12397 5.15039 5.15710 5.21172 5.26113 5.32033 5.39749 5.42135 5.48779 5.49962 5.53813 5.54642 5.59437 5.65906 5.72292 5.74282 5.78133 5.86563 5.99356 6.13528 6.25039 6.30937 6.33007 6.37316 6.43431 6.64646 6.85033 7.22838 7.28017 7.29293 7.53386 7.56587 7.69681 7.85350 7.99577 8.08394 8.28942 8.59608 9.21688 9.75728 11.24744 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011754 B = 0.004191 C = 0.003835 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2381.607451 B = 6679.018194 C = 7299.534583 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.175 4.175 2 C 0.513 3.487 3 O -0.553 6.553 4 N -0.609 5.609 5 C 0.066 3.934 6 C 0.047 3.953 7 O -0.328 6.328 8 C 0.079 3.921 9 C 0.089 3.911 10 C 0.079 3.921 11 O -0.338 6.338 12 C 0.060 3.940 13 C 0.031 3.969 14 N -0.515 5.515 15 C 0.087 3.913 16 H 0.074 0.926 17 C -0.187 4.187 18 C -0.103 4.103 19 C 0.033 3.967 20 C -0.520 4.520 21 H 0.047 0.953 22 C 0.060 3.940 23 N -0.890 5.890 24 Si 0.884 3.116 25 H -0.280 1.280 26 H -0.289 1.289 27 H -0.279 1.279 28 C 0.043 3.957 29 H 0.090 0.910 30 H 0.090 0.910 31 H 0.089 0.911 32 H 0.092 0.908 33 H 0.076 0.924 34 H 0.113 0.887 35 H 0.073 0.927 36 H 0.076 0.924 37 H 0.095 0.905 38 H 0.096 0.904 39 H 0.063 0.937 40 H 0.086 0.914 41 H 0.039 0.961 42 H 0.091 0.909 43 H 0.041 0.959 44 H 0.057 0.943 45 H 0.042 0.958 46 H 0.059 0.941 47 H 0.048 0.952 48 H 0.046 0.954 49 H 0.005 0.995 50 H 0.040 0.960 51 H 0.258 0.742 52 H 0.035 0.965 53 H 0.071 0.929 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 2.456 15.231 -6.778 16.851 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 -0.234 4.234 2 C 0.302 3.698 3 O -0.431 6.431 4 N -0.343 5.343 5 C -0.057 4.057 6 C -0.030 4.030 7 O -0.246 6.246 8 C 0.037 3.963 9 C -0.035 4.035 10 C 0.002 3.998 11 O -0.255 6.255 12 C -0.018 4.018 13 C -0.096 4.096 14 N -0.238 5.238 15 C -0.021 4.021 16 H 0.092 0.908 17 C -0.246 4.246 18 C -0.141 4.141 19 C -0.004 4.004 20 C -0.559 4.559 21 H 0.066 0.934 22 C -0.141 4.141 23 N -0.530 5.530 24 Si 0.712 3.288 25 H -0.206 1.206 26 H -0.214 1.214 27 H -0.205 1.205 28 C -0.087 4.087 29 H 0.109 0.891 30 H 0.109 0.891 31 H 0.107 0.893 32 H 0.110 0.890 33 H 0.094 0.906 34 H 0.131 0.869 35 H 0.091 0.909 36 H 0.095 0.905 37 H 0.114 0.886 38 H 0.114 0.886 39 H 0.081 0.919 40 H 0.104 0.896 41 H 0.057 0.943 42 H 0.109 0.891 43 H 0.059 0.941 44 H 0.076 0.924 45 H 0.061 0.939 46 H 0.078 0.922 47 H 0.067 0.933 48 H 0.064 0.936 49 H 0.023 0.977 50 H 0.058 0.942 51 H 0.067 0.933 52 H 0.053 0.947 53 H 0.090 0.910 Dipole moment (debyes) X Y Z Total from point charges 2.870 14.864 -7.222 16.773 hybrid contribution -0.493 0.279 1.129 1.264 sum 2.377 15.143 -6.093 16.495 Atomic orbital electron populations 1.21945 0.91676 1.05332 1.04443 1.20835 0.90709 0.82834 0.75380 1.90692 1.70820 1.31021 1.50609 1.48116 1.06637 1.06410 1.73146 1.22663 0.97271 0.83974 1.01767 1.23017 0.81985 1.01248 0.96780 1.88274 1.18084 1.26678 1.91517 1.21849 0.94815 0.86115 0.93548 1.22259 0.80410 1.01651 0.99144 1.21359 0.90917 0.95052 0.92452 1.87897 1.85192 1.36463 1.15914 1.22430 0.97122 0.95528 0.86757 1.23256 0.88829 1.02608 0.94863 1.60234 1.02011 1.46802 1.14795 1.21949 0.91727 0.94747 0.93649 0.90849 1.22550 1.02254 0.98825 1.00924 1.21740 0.99948 0.94932 0.97491 1.18988 0.97313 0.89368 0.94687 1.21273 1.48834 0.92664 0.93110 0.93435 1.24936 0.95729 0.98616 0.94770 1.69950 1.49904 1.23482 1.09619 0.86804 0.78391 0.82912 0.80677 1.20569 1.21426 1.20458 1.22297 1.01130 0.92557 0.92689 0.89130 0.89072 0.89273 0.88962 0.90568 0.86924 0.90882 0.90534 0.88642 0.88574 0.91863 0.89567 0.94291 0.89087 0.94113 0.92395 0.93852 0.92234 0.93288 0.93566 0.97687 0.94199 0.93258 0.94702 0.91028 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 -0.17 -1.48 8.69 36.01 0.31 -1.16 16 2 C 0.51 6.35 7.66 -10.98 -0.08 6.27 16 3 O -0.55 -8.79 16.54 5.56 0.09 -8.70 16 4 N -0.61 -7.27 2.02 -172.21 -0.35 -7.62 16 5 C 0.07 0.74 6.52 -3.74 -0.02 0.72 16 6 C 0.05 0.72 6.33 37.11 0.23 0.95 16 7 O -0.33 -5.56 9.78 -40.85 -0.40 -5.96 16 8 C 0.08 1.08 0.82 -92.33 -0.08 1.00 16 9 C 0.09 1.08 5.35 -3.26 -0.02 1.06 16 10 C 0.08 1.01 5.20 34.13 0.18 1.19 16 11 O -0.34 -5.32 10.44 -38.64 -0.40 -5.72 16 12 C 0.06 0.79 6.09 37.74 0.23 1.02 16 13 C 0.03 0.47 5.02 -2.21 -0.01 0.46 16 14 N -0.52 -8.22 2.41 -225.83 -0.55 -8.77 16 15 C 0.09 1.41 1.67 -67.71 -0.11 1.30 16 16 H 0.07 1.22 6.03 -51.93 -0.31 0.91 16 17 C -0.19 -2.56 8.69 37.16 0.32 -2.24 16 18 C -0.10 -2.06 4.44 -26.74 -0.12 -2.18 16 19 C 0.03 0.84 4.86 -27.89 -0.14 0.70 16 20 C -0.52 -14.64 9.11 -34.44 -0.31 -14.95 16 21 H 0.05 1.31 7.74 -52.49 -0.41 0.91 16 22 C 0.06 1.73 5.46 -17.82 -0.10 1.63 16 23 N -0.89 -26.45 13.29 55.43 0.74 -25.71 16 24 Si 0.88 21.81 29.54 -169.99 -5.02 16.79 16 25 H -0.28 -6.78 7.11 56.52 0.40 -6.38 16 26 H -0.29 -7.06 7.11 56.52 0.40 -6.66 16 27 H -0.28 -6.82 7.11 56.52 0.40 -6.42 16 28 C 0.04 0.61 2.62 -4.67 -0.01 0.60 16 29 H 0.09 0.68 7.64 -51.93 -0.40 0.28 16 30 H 0.09 0.74 8.12 -51.93 -0.42 0.32 16 31 H 0.09 0.59 8.03 -51.93 -0.42 0.17 16 32 H 0.09 0.82 6.05 -51.93 -0.31 0.51 16 33 H 0.08 0.80 8.14 -51.93 -0.42 0.38 16 34 H 0.11 1.92 8.14 -51.93 -0.42 1.50 16 35 H 0.07 1.18 3.38 -51.93 -0.18 1.01 16 36 H 0.08 0.85 8.14 -51.93 -0.42 0.42 16 37 H 0.10 1.18 7.06 -51.93 -0.37 0.81 16 38 H 0.10 1.12 8.14 -51.93 -0.42 0.70 16 39 H 0.06 0.65 7.42 -51.93 -0.39 0.26 16 40 H 0.09 1.01 8.14 -51.92 -0.42 0.59 16 41 H 0.04 0.44 6.58 -51.93 -0.34 0.10 16 42 H 0.09 1.61 6.87 -51.93 -0.36 1.25 16 43 H 0.04 0.55 5.69 -51.93 -0.30 0.26 16 44 H 0.06 0.78 6.12 -51.93 -0.32 0.46 16 45 H 0.04 0.56 7.50 -51.93 -0.39 0.18 16 46 H 0.06 0.78 8.14 -51.93 -0.42 0.36 16 47 H 0.05 0.98 6.43 -51.93 -0.33 0.65 16 48 H 0.05 0.91 8.14 -51.92 -0.42 0.49 16 49 H 0.00 0.13 8.14 -51.93 -0.42 -0.30 16 50 H 0.04 1.10 7.75 -51.93 -0.40 0.70 16 51 H 0.26 7.32 8.31 -40.82 -0.34 6.98 16 52 H 0.03 0.47 6.93 -51.93 -0.36 0.11 16 53 H 0.07 1.04 5.38 -51.93 -0.28 0.76 16 LS Contribution 388.03 15.07 5.85 5.85 Total: -1.00 -33.60 388.03 -8.56 -42.16 By element: Atomic # 1 Polarization: 10.10 SS G_CDS: -8.79 Total: 1.31 kcal Atomic # 6 Polarization: -3.90 SS G_CDS: 0.27 Total: -3.62 kcal Atomic # 7 Polarization: -41.95 SS G_CDS: -0.16 Total: -42.10 kcal Atomic # 8 Polarization: -19.67 SS G_CDS: -0.71 Total: -20.38 kcal Atomic # 14 Polarization: 21.81 SS G_CDS: -5.02 Total: 16.79 kcal Total LS contribution 5.85 Total: 5.85 kcal Total: -33.60 -8.56 -42.16 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. ZINC001172498553.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 -49.849 kcal (2) G-P(sol) polarization free energy of solvation -33.604 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -83.453 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.556 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.160 kcal (6) G-S(sol) free energy of system = (1) + (5) -92.009 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.35 seconds