Wall clock time and date at job start Tue Mar 31 2020 19:54:10 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 1.53002 * 109.47160 * 2 1 4 4 C 1.53001 * 109.46693 * 240.00398 * 2 1 3 5 5 C 1.50693 * 109.47566 * 120.00177 * 2 1 3 6 6 O 1.20783 * 119.99775 * 7.18504 * 5 2 1 7 7 C 1.49085 * 120.00662 * 187.17811 * 5 2 1 8 8 O 1.21371 * 119.99653 * 7.38065 * 7 5 2 9 9 N 1.34769 * 120.00359 * 187.37578 * 7 5 2 10 10 C 1.46926 * 120.63190 * 9.00310 * 9 7 5 11 11 C 1.53190 * 108.77495 * 233.58485 * 10 9 7 12 12 C 1.53036 * 109.31366 * 305.36308 * 11 10 9 13 13 C 1.53041 * 109.53709 * 61.36726 * 12 11 10 14 14 C 1.46927 * 120.62891 * 188.98145 * 9 7 5 15 15 H 1.09007 * 109.70097 * 246.27042 * 14 9 7 16 16 C 1.52996 * 109.59038 * 6.62519 * 14 9 7 17 17 H 1.08999 * 109.87196 * 311.74021 * 16 14 9 18 18 C 1.54320 * 109.88380 * 190.72421 * 16 14 9 19 19 C 1.55159 * 102.94100 * 218.23754 * 18 16 14 20 20 C 1.54908 * 101.58560 * 35.50014 * 19 18 16 21 21 N 1.47026 * 110.00935 * 72.84053 * 16 14 9 22 22 C 1.36942 * 125.64420 * 298.38100 * 21 16 14 23 23 H 1.08004 * 119.99725 * 47.39205 * 22 21 16 24 24 C 1.38804 * 120.00020 * 227.38216 * 22 21 16 25 25 N 1.31624 * 120.00062 * 203.87222 * 24 22 21 26 26 Si 1.86799 * 120.00304 * 23.87940 * 24 22 21 27 27 H 1.48498 * 109.47361 * 87.64777 * 26 24 22 28 28 H 1.48500 * 109.47467 * 207.65588 * 26 24 22 29 29 H 1.48508 * 109.46771 * 327.65249 * 26 24 22 30 30 H 1.09003 * 109.46701 * 299.99898 * 1 2 3 31 31 H 1.08995 * 109.47220 * 59.99422 * 1 2 3 32 32 H 1.08995 * 109.47507 * 179.97438 * 1 2 3 33 33 H 1.08999 * 109.46934 * 188.47954 * 3 2 1 34 34 H 1.08995 * 109.47325 * 308.48001 * 3 2 1 35 35 H 1.09000 * 109.46785 * 68.48369 * 3 2 1 36 36 H 1.08998 * 109.47434 * 299.99575 * 4 2 1 37 37 H 1.08994 * 109.47624 * 59.99921 * 4 2 1 38 38 H 1.09009 * 109.47028 * 180.02562 * 4 2 1 39 39 H 1.09004 * 109.58637 * 113.80041 * 10 9 7 40 40 H 1.08997 * 109.58656 * 353.37192 * 10 9 7 41 41 H 1.09000 * 109.49562 * 185.41368 * 11 10 9 42 42 H 1.08995 * 109.49762 * 65.31929 * 11 10 9 43 43 H 1.08994 * 109.46452 * 301.34554 * 12 11 10 44 44 H 1.09003 * 109.44627 * 181.37808 * 12 11 10 45 45 H 1.09002 * 109.49547 * 178.67943 * 13 12 11 46 46 H 1.08997 * 109.52220 * 58.60163 * 13 12 11 47 47 H 1.08998 * 110.72083 * 336.59945 * 18 16 14 48 48 H 1.08999 * 110.72068 * 99.87417 * 18 16 14 49 49 H 1.09002 * 111.00517 * 153.57918 * 19 18 16 50 50 H 1.09008 * 111.00256 * 277.39074 * 19 18 16 51 51 H 1.09002 * 110.36573 * 81.82879 * 20 19 18 52 52 H 1.08995 * 110.37115 * 204.04567 * 20 19 18 53 53 H 0.96999 * 120.00140 * 180.02562 * 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 1.5300 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 6 2.0399 -0.7212 -1.2493 5 6 2.0324 -0.7104 1.2304 6 8 1.2553 -1.2814 1.9576 7 6 3.4886 -0.7086 1.5499 8 8 4.2521 -0.0265 0.8980 9 7 3.9573 -1.4643 2.5626 10 6 3.0876 -2.4408 3.2327 11 6 3.1150 -2.1722 4.7406 12 6 4.5649 -2.1819 5.2302 13 6 5.3497 -1.0717 4.5276 14 6 5.3477 -1.3277 3.0173 15 1 5.8967 -2.2443 2.8013 16 6 6.0098 -0.1516 2.2968 17 1 5.8184 -0.2179 1.2258 18 6 7.5304 -0.1636 2.5599 19 6 7.8692 1.3433 2.7084 20 6 6.5997 1.8794 3.4160 21 7 5.4862 1.1185 2.8207 22 6 4.1805 1.5274 2.7640 23 1 3.3897 0.8508 3.0528 24 6 3.8733 2.8114 2.3355 25 7 2.7419 3.3749 2.7029 26 14 5.0655 3.7399 1.2372 27 1 4.7866 3.4126 -0.1842 28 1 4.9006 5.2002 1.4506 29 1 6.4573 3.3448 1.5722 30 1 -0.3633 0.5138 0.8900 31 1 -0.3633 0.5139 -0.8899 32 1 -0.3634 -1.0276 -0.0005 33 1 3.1194 1.4462 -0.1515 34 1 1.5583 1.9982 -0.8044 35 1 1.8057 1.9106 0.9561 36 1 1.6766 -1.7488 -1.2494 37 1 1.6766 -0.2074 -2.1393 38 1 3.1300 -0.7216 -1.2492 39 1 3.4501 -3.4495 3.0345 40 1 2.0680 -2.3372 2.8615 41 1 2.5509 -2.9479 5.2585 42 1 2.6684 -1.1992 4.9450 43 1 5.0184 -3.1467 5.0033 44 1 4.5853 -2.0154 6.3072 45 1 6.3763 -1.0641 4.8940 46 1 4.8826 -0.1088 4.7340 47 1 7.7584 -0.7025 3.4795 48 1 8.0646 -0.5975 1.7147 49 1 8.7529 1.4856 3.3305 50 1 8.0010 1.8120 1.7331 51 1 6.6559 1.6930 4.4884 52 1 6.4792 2.9453 3.2226 53 1 2.5271 4.2720 2.4032 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 ZINC001025211203.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 19:54:10 Heat of formation + Delta-G solvation = 7.829272 kcal Electronic energy + Delta-G solvation = -34274.765106 eV Core-core repulsion = 30342.598402 eV Total energy + Delta-G solvation = -3932.166704 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.10 seconds Orbital eigenvalues (eV) -40.83022 -39.02840 -36.95129 -36.70255 -35.22152 -32.50517 -32.11943 -31.10193 -29.75764 -27.56194 -27.04259 -26.66507 -25.64935 -24.17025 -23.75058 -22.70761 -21.05255 -20.45226 -19.70645 -18.94088 -18.00825 -16.92580 -16.26211 -16.02502 -15.47689 -15.16433 -14.62869 -14.48140 -14.15646 -14.08596 -13.81149 -13.58106 -13.20306 -13.14572 -13.04733 -12.85677 -12.49504 -12.30382 -12.16028 -12.05874 -11.93011 -11.64609 -11.53114 -11.34447 -11.12368 -11.09559 -10.99673 -10.78562 -10.68733 -10.55476 -10.44370 -10.37613 -10.30150 -10.22243 -10.06755 -9.84174 -9.66771 -9.39578 -9.16529 -8.23437 -7.85586 -7.69633 -6.26275 -5.89187 -3.32825 1.68754 3.33275 3.49826 3.58662 3.66174 3.90960 4.54503 4.70382 4.99171 5.20620 5.24884 5.28184 5.29190 5.35351 5.35892 5.44192 5.60011 5.66487 5.71824 5.74080 5.79047 5.81043 5.84382 5.97987 6.00293 6.03469 6.08377 6.15859 6.20881 6.28352 6.29315 6.34206 6.37912 6.40654 6.47821 6.48334 6.52172 6.57095 6.59819 6.61487 6.65077 6.86609 6.93270 7.02973 7.08353 7.18372 7.41367 7.51047 7.66423 8.11904 8.19149 8.49187 8.94166 9.04569 9.81710 10.51849 11.24480 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.009855 B = 0.008284 C = 0.005596 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2840.616202 B = 3379.075707 C = 5002.154602 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.132 4.132 2 C -0.093 4.093 3 C -0.149 4.149 4 C -0.136 4.136 5 C 0.375 3.625 6 O -0.432 6.432 7 C 0.497 3.503 8 O -0.452 6.452 9 N -0.586 5.586 10 C 0.061 3.939 11 C -0.127 4.127 12 C -0.118 4.118 13 C -0.124 4.124 14 C 0.144 3.856 15 H 0.053 0.947 16 C 0.115 3.885 17 H 0.113 0.887 18 C -0.131 4.131 19 C -0.133 4.133 20 C 0.125 3.875 21 N -0.586 5.586 22 C -0.221 4.221 23 H 0.067 0.933 24 C 0.051 3.949 25 N -0.900 5.900 26 Si 0.863 3.137 27 H -0.286 1.286 28 H -0.309 1.309 29 H -0.254 1.254 30 H 0.062 0.938 31 H 0.059 0.941 32 H 0.054 0.946 33 H 0.088 0.912 34 H 0.043 0.957 35 H 0.090 0.910 36 H 0.049 0.951 37 H 0.065 0.935 38 H 0.070 0.930 39 H 0.049 0.951 40 H 0.136 0.864 41 H 0.061 0.939 42 H 0.069 0.931 43 H 0.050 0.950 44 H 0.054 0.946 45 H 0.058 0.942 46 H 0.093 0.907 47 H 0.057 0.943 48 H 0.057 0.943 49 H 0.055 0.945 50 H 0.061 0.939 51 H 0.019 0.981 52 H 0.046 0.954 53 H 0.260 0.740 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.921 -10.826 -2.292 11.231 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 -0.190 4.190 2 C -0.095 4.095 3 C -0.206 4.206 4 C -0.193 4.193 5 C 0.248 3.752 6 O -0.305 6.305 7 C 0.282 3.718 8 O -0.325 6.325 9 N -0.321 5.321 10 C -0.061 4.061 11 C -0.165 4.165 12 C -0.156 4.156 13 C -0.162 4.162 14 C 0.039 3.961 15 H 0.071 0.929 16 C 0.009 3.991 17 H 0.130 0.870 18 C -0.169 4.169 19 C -0.171 4.171 20 C 0.000 4.000 21 N -0.311 5.311 22 C -0.350 4.350 23 H 0.084 0.916 24 C -0.150 4.150 25 N -0.542 5.542 26 Si 0.693 3.307 27 H -0.214 1.214 28 H -0.237 1.237 29 H -0.179 1.179 30 H 0.081 0.919 31 H 0.078 0.922 32 H 0.073 0.927 33 H 0.106 0.894 34 H 0.062 0.938 35 H 0.108 0.892 36 H 0.068 0.932 37 H 0.084 0.916 38 H 0.089 0.911 39 H 0.067 0.933 40 H 0.152 0.848 41 H 0.080 0.920 42 H 0.088 0.912 43 H 0.069 0.931 44 H 0.073 0.927 45 H 0.076 0.924 46 H 0.111 0.889 47 H 0.076 0.924 48 H 0.076 0.924 49 H 0.074 0.926 50 H 0.080 0.920 51 H 0.036 0.964 52 H 0.064 0.936 53 H 0.069 0.931 Dipole moment (debyes) X Y Z Total from point charges 1.712 -10.572 -2.281 10.950 hybrid contribution 0.640 0.671 -0.249 0.960 sum 2.352 -9.901 -2.531 10.487 Atomic orbital electron populations 1.21743 0.93125 1.01777 1.02319 1.20918 0.96644 0.98691 0.93211 1.22128 1.03591 0.90973 1.03863 1.21817 1.02459 0.99093 0.95957 1.25258 0.89744 0.74890 0.85290 1.89958 1.59275 1.34632 1.46650 1.20068 0.89349 0.80407 0.81947 1.90530 1.54790 1.37969 1.49174 1.47816 1.12173 1.38524 1.33636 1.22809 0.99226 0.90705 0.93323 1.21789 0.96796 1.02284 0.95664 1.21537 0.95871 0.98738 0.99414 1.21889 0.99560 1.00380 0.94345 1.21864 0.80869 0.98770 0.94604 0.92884 1.22412 0.88918 0.86893 1.00846 0.87036 1.22688 0.97640 0.96428 1.00171 1.22722 0.97874 0.96009 1.00526 1.21921 0.87262 0.96313 0.94459 1.44416 1.04507 1.16960 1.65222 1.18147 0.81241 0.97972 1.37598 0.91553 1.25555 0.95030 0.97500 0.96895 1.69908 1.25206 1.14508 1.44540 0.87215 0.83738 0.76967 0.82811 1.21352 1.23694 1.17921 0.91939 0.92160 0.92662 0.89350 0.93754 0.89159 0.93180 0.91589 0.91058 0.93297 0.84790 0.92013 0.91234 0.93099 0.92707 0.92381 0.88896 0.92414 0.92433 0.92587 0.91988 0.96364 0.93596 0.93063 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -0.13 -2.02 7.79 37.16 0.29 -1.73 16 2 C -0.09 -1.60 0.78 -155.66 -0.12 -1.72 16 3 C -0.15 -2.99 7.58 37.16 0.28 -2.70 16 4 C -0.14 -1.95 8.35 37.16 0.31 -1.64 16 5 C 0.37 7.13 5.86 -29.81 -0.17 6.95 16 6 O -0.43 -8.26 12.76 5.98 0.08 -8.18 16 7 C 0.50 9.92 4.32 -11.76 -0.05 9.87 16 8 O -0.45 -9.76 7.54 5.48 0.04 -9.72 16 9 N -0.59 -10.74 2.58 -165.87 -0.43 -11.17 16 10 C 0.06 0.98 6.24 -3.71 -0.02 0.96 16 11 C -0.13 -1.96 6.08 -26.61 -0.16 -2.12 16 12 C -0.12 -1.73 5.88 -26.69 -0.16 -1.89 16 13 C -0.12 -2.11 4.96 -26.61 -0.13 -2.24 16 14 C 0.14 2.53 2.55 -67.60 -0.17 2.36 16 15 H 0.05 0.86 8.12 -51.93 -0.42 0.43 16 16 C 0.11 2.24 2.32 -66.95 -0.16 2.08 16 17 H 0.11 2.42 5.00 -56.30 -0.28 2.14 16 18 C -0.13 -2.16 6.33 -24.90 -0.16 -2.32 16 19 C -0.13 -2.36 6.94 -24.58 -0.17 -2.53 16 20 C 0.13 2.65 6.01 -2.53 -0.02 2.63 16 21 N -0.59 -13.15 1.19 -162.58 -0.19 -13.34 16 22 C -0.22 -5.66 6.18 -15.06 -0.09 -5.75 16 23 H 0.07 1.86 5.86 -52.48 -0.31 1.55 16 24 C 0.05 1.37 4.24 -17.43 -0.07 1.30 16 25 N -0.90 -25.66 13.03 55.49 0.72 -24.94 16 26 Si 0.86 21.80 26.89 -169.99 -4.57 17.23 16 27 H -0.29 -7.39 7.11 56.52 0.40 -6.99 16 28 H -0.31 -8.10 7.11 56.52 0.40 -7.70 16 29 H -0.25 -6.13 4.40 56.52 0.25 -5.88 16 30 H 0.06 1.04 8.14 -51.93 -0.42 0.62 16 31 H 0.06 0.80 8.14 -51.93 -0.42 0.37 16 32 H 0.05 0.77 8.02 -51.93 -0.42 0.36 16 33 H 0.09 1.97 6.15 -51.93 -0.32 1.65 16 34 H 0.04 0.79 8.13 -51.93 -0.42 0.37 16 35 H 0.09 2.13 6.34 -51.93 -0.33 1.81 16 36 H 0.05 0.63 8.14 -51.93 -0.42 0.21 16 37 H 0.07 0.83 8.14 -51.93 -0.42 0.41 16 38 H 0.07 1.09 7.27 -51.92 -0.38 0.72 16 39 H 0.05 0.69 8.14 -51.93 -0.42 0.27 16 40 H 0.14 2.29 3.89 -56.34 -0.22 2.07 16 41 H 0.06 0.81 8.14 -51.93 -0.42 0.39 16 42 H 0.07 1.27 8.14 -51.93 -0.42 0.85 16 43 H 0.05 0.67 8.14 -51.93 -0.42 0.25 16 44 H 0.05 0.76 8.14 -51.93 -0.42 0.33 16 45 H 0.06 0.92 6.93 -51.93 -0.36 0.57 16 46 H 0.09 1.96 6.61 -51.93 -0.34 1.62 16 47 H 0.06 0.88 6.58 -51.93 -0.34 0.53 16 48 H 0.06 0.86 8.14 -51.93 -0.42 0.44 16 49 H 0.06 0.86 8.14 -51.93 -0.42 0.43 16 50 H 0.06 1.16 7.52 -51.92 -0.39 0.77 16 51 H 0.02 0.39 8.14 -51.93 -0.42 -0.04 16 52 H 0.05 1.06 4.87 -51.93 -0.25 0.81 16 53 H 0.26 7.24 8.31 -40.82 -0.34 6.90 16 LS Contribution 372.30 15.07 5.61 5.61 Total: -1.00 -28.09 372.30 -8.66 -36.75 By element: Atomic # 1 Polarization: 15.40 SS G_CDS: -9.14 Total: 6.25 kcal Atomic # 6 Polarization: 2.29 SS G_CDS: -0.78 Total: 1.52 kcal Atomic # 7 Polarization: -49.55 SS G_CDS: 0.10 Total: -49.45 kcal Atomic # 8 Polarization: -18.02 SS G_CDS: 0.12 Total: -17.91 kcal Atomic # 14 Polarization: 21.80 SS G_CDS: -4.57 Total: 17.23 kcal Total LS contribution 5.61 Total: 5.61 kcal Total: -28.09 -8.66 -36.75 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. ZINC001025211203.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 44.578 kcal (2) G-P(sol) polarization free energy of solvation -28.086 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 16.492 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.662 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -36.749 kcal (6) G-S(sol) free energy of system = (1) + (5) 7.829 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.10 seconds