Wall clock time and date at job start Sat Apr 11 2020 06:11:38 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 1.53001 * 1 3 3 N 1.46896 * 109.47270 * 2 1 4 4 C 1.46903 * 111.00168 * 160.29382 * 3 2 1 5 5 C 1.52999 * 109.46766 * 287.71007 * 4 3 2 6 6 C 1.46904 * 110.99798 * 284.24085 * 3 2 1 7 7 C 1.50701 * 109.47265 * 170.00190 * 6 3 2 8 8 O 1.21287 * 119.99930 * 359.97438 * 7 6 3 9 9 N 1.34774 * 120.00158 * 180.02562 * 7 6 3 10 10 C 1.46924 * 120.62905 * 359.71857 * 9 7 6 11 11 C 1.53627 * 108.54319 * 126.37351 * 10 9 7 12 12 C 1.53036 * 109.24233 * 54.85263 * 11 10 9 13 13 C 1.53044 * 109.53969 * 298.51313 * 12 11 10 14 14 H 1.09002 * 109.52009 * 301.39556 * 13 12 11 15 15 N 1.46893 * 109.49827 * 181.31846 * 13 12 11 16 16 C 1.46901 * 111.00183 * 155.16235 * 15 13 12 17 17 C 1.50700 * 109.47129 * 180.02562 * 16 15 13 18 18 O 1.21289 * 120.00320 * 359.97438 * 17 16 15 19 19 N 1.34777 * 120.00121 * 180.02562 * 17 16 15 20 20 C 1.37090 * 120.00224 * 179.97438 * 19 17 16 21 21 H 1.07997 * 120.00178 * 359.97438 * 20 19 17 22 22 C 1.38958 * 120.00078 * 179.97438 * 20 19 17 23 23 N 1.31410 * 119.99805 * 359.97438 * 22 20 19 24 24 Si 1.86793 * 120.00176 * 180.02562 * 22 20 19 25 25 H 1.48504 * 109.47140 * 359.97438 * 24 22 20 26 26 H 1.48501 * 109.47291 * 119.99952 * 24 22 20 27 27 H 1.48496 * 109.47231 * 240.00211 * 24 22 20 28 28 C 1.46931 * 120.63105 * 179.97438 * 9 7 6 29 29 H 1.09003 * 109.46773 * 305.49154 * 1 2 3 30 30 H 1.08998 * 109.47261 * 65.48665 * 1 2 3 31 31 H 1.08994 * 109.47218 * 185.48929 * 1 2 3 32 32 H 1.08999 * 109.46915 * 239.99395 * 2 1 3 33 33 H 1.09006 * 109.47022 * 119.99745 * 2 1 3 34 34 H 1.09000 * 109.47280 * 47.70208 * 4 3 2 35 35 H 1.08997 * 109.47255 * 167.71166 * 4 3 2 36 36 H 1.09000 * 109.47206 * 298.94910 * 5 4 3 37 37 H 1.08999 * 109.47751 * 58.94474 * 5 4 3 38 38 H 1.08995 * 109.47379 * 178.95099 * 5 4 3 39 39 H 1.09000 * 109.47336 * 290.00268 * 6 3 2 40 40 H 1.09005 * 109.47013 * 50.00066 * 6 3 2 41 41 H 1.09003 * 109.58613 * 246.20483 * 10 9 7 42 42 H 1.09003 * 109.58683 * 6.62641 * 10 9 7 43 43 H 1.08998 * 109.62905 * 294.85858 * 11 10 9 44 44 H 1.08996 * 109.45875 * 174.74008 * 11 10 9 45 45 H 1.08997 * 109.45619 * 178.49224 * 12 11 10 46 46 H 1.08997 * 109.46269 * 58.53274 * 12 11 10 47 47 H 1.00896 * 111.00021 * 279.11554 * 15 13 12 48 48 H 1.09000 * 109.46723 * 299.99719 * 16 15 13 49 49 H 1.08995 * 109.46837 * 59.99666 * 16 15 13 50 50 H 0.97004 * 119.99461 * 359.97438 * 19 17 16 51 51 H 0.96999 * 120.00511 * 179.97438 * 23 22 20 52 52 H 1.09005 * 109.58405 * 353.37726 * 28 9 7 53 53 H 1.08997 * 109.58260 * 113.64928 * 28 9 7 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 7 2.0197 1.3849 0.0000 4 6 3.4125 1.4509 0.4624 5 6 3.4621 1.1927 1.9697 6 6 1.8771 1.9937 -1.3293 7 6 2.1547 3.4721 -1.2373 8 8 2.4425 3.9697 -0.1693 9 7 2.0821 4.2414 -2.3415 10 6 1.7396 3.6523 -3.6431 11 6 0.5539 4.4297 -4.2345 12 6 0.9049 5.9182 -4.2915 13 6 1.1629 6.4379 -2.8753 14 1 0.2768 6.2770 -2.2612 15 7 1.4687 7.8736 -2.9280 16 6 1.1490 8.5272 -1.6518 17 6 1.4746 9.9957 -1.7441 18 8 1.9289 10.4528 -2.7716 19 7 1.2621 10.8010 -0.6844 20 6 1.5589 12.1368 -0.7681 21 1 1.9633 12.5438 -1.6831 22 6 1.3393 12.9671 0.3242 23 7 0.8467 12.4720 1.4373 24 14 1.7429 14.7873 0.2099 25 1 2.2806 15.0913 -1.1406 26 1 0.5111 15.5832 0.4434 27 1 2.7585 15.1345 1.2362 28 6 2.3494 5.6843 -2.2674 29 1 -0.3633 0.5967 0.8368 30 1 -0.3634 0.4264 -0.9350 31 1 -0.3633 -1.0229 0.0983 32 1 1.8933 -0.5139 -0.8899 33 1 1.8933 -0.5138 0.8901 34 1 4.0034 0.6953 -0.0552 35 1 3.8196 2.4393 0.2496 36 1 2.8865 1.9591 2.4888 37 1 3.0378 0.2119 2.1845 38 1 4.4972 1.2232 2.3097 39 1 2.5857 1.5332 -2.0178 40 1 0.8619 1.8366 -1.6939 41 1 2.5967 3.7225 -4.3129 42 1 1.4626 2.6065 -3.5094 43 1 -0.3265 4.2872 -3.6079 44 1 0.3469 4.0660 -5.2409 45 1 0.0762 6.4699 -4.7354 46 1 1.7998 6.0574 -4.8979 47 1 2.4327 8.0289 -3.1821 48 1 0.0877 8.4037 -1.4362 49 1 1.7370 8.0736 -0.8540 50 1 0.8992 10.4353 0.1375 51 1 0.6937 13.0514 2.2000 52 1 2.4750 5.9797 -1.2257 53 1 3.2568 5.9168 -2.8249 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 ZINC001210217504.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 06:11:38 Heat of formation + Delta-G solvation = -63.065943 kcal Electronic energy + Delta-G solvation = -30350.781277 eV Core-core repulsion = 26257.377025 eV Total energy + Delta-G solvation = -4093.404252 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.75 seconds Orbital eigenvalues (eV) -40.59884 -38.74946 -38.03120 -37.12541 -35.12820 -33.82476 -32.53436 -32.07155 -31.22292 -30.97963 -29.72101 -27.11970 -26.14249 -25.00011 -24.07287 -23.25512 -22.49148 -21.37133 -20.65430 -19.36029 -19.01981 -17.84880 -17.58333 -16.59011 -16.30706 -15.83334 -15.52729 -15.27713 -15.12644 -14.67660 -14.63876 -14.57185 -14.30368 -14.12652 -13.97659 -13.71163 -13.45109 -13.28272 -13.11173 -12.77508 -12.70824 -12.48035 -12.29333 -12.20800 -11.86951 -11.78547 -11.61171 -11.55546 -11.47558 -11.25207 -11.16670 -11.06059 -11.00602 -10.92193 -10.72200 -10.31739 -10.19168 -9.84615 -9.48959 -8.98001 -8.64118 -8.41926 -8.01249 -7.92344 -6.38172 -3.79049 2.45777 2.64263 3.18934 3.29202 3.36525 3.53673 3.94100 4.07548 4.21400 4.30038 4.55324 4.62620 4.66636 4.73334 4.79970 4.81561 4.84891 4.86615 5.01408 5.06539 5.11939 5.18921 5.22246 5.23578 5.28460 5.35137 5.40375 5.42497 5.51311 5.53310 5.61149 5.67820 5.68030 5.78736 5.83053 5.87110 5.91739 6.02511 6.08494 6.11763 6.17704 6.23852 6.32872 6.63524 6.75715 7.18382 7.22794 7.58651 7.63480 8.04466 8.09722 8.64567 9.21131 9.57958 10.09113 10.79632 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.013753 B = 0.002179 C = 0.001965 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2035.448952 B =12846.756982 C =14242.583879 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.149 4.149 2 C 0.048 3.952 3 N -0.522 5.522 4 C 0.048 3.952 5 C -0.142 4.142 6 C 0.038 3.962 7 C 0.513 3.487 8 O -0.517 6.517 9 N -0.611 5.611 10 C 0.106 3.894 11 C -0.134 4.134 12 C -0.108 4.108 13 C 0.076 3.924 14 H 0.080 0.920 15 N -0.656 5.656 16 C 0.048 3.952 17 C 0.441 3.559 18 O -0.584 6.584 19 N -0.563 5.563 20 C -0.299 4.299 21 H 0.104 0.896 22 C 0.021 3.979 23 N -0.901 5.901 24 Si 0.930 3.070 25 H -0.268 1.268 26 H -0.281 1.281 27 H -0.282 1.282 28 C 0.082 3.918 29 H 0.066 0.934 30 H 0.051 0.949 31 H 0.058 0.942 32 H 0.034 0.966 33 H 0.079 0.921 34 H 0.026 0.974 35 H 0.088 0.912 36 H 0.066 0.934 37 H 0.050 0.950 38 H 0.056 0.944 39 H 0.060 0.940 40 H 0.104 0.896 41 H 0.071 0.929 42 H 0.081 0.919 43 H 0.068 0.932 44 H 0.077 0.923 45 H 0.076 0.924 46 H 0.065 0.935 47 H 0.350 0.650 48 H 0.086 0.914 49 H 0.046 0.954 50 H 0.393 0.607 51 H 0.271 0.729 52 H 0.092 0.908 53 H 0.067 0.933 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 0.530 -28.878 -6.358 29.574 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 -0.206 4.206 2 C -0.079 4.079 3 N -0.247 5.247 4 C -0.080 4.080 5 C -0.200 4.200 6 C -0.093 4.093 7 C 0.300 3.700 8 O -0.392 6.392 9 N -0.347 5.347 10 C -0.017 4.017 11 C -0.173 4.173 12 C -0.146 4.146 13 C -0.035 4.035 14 H 0.099 0.901 15 N -0.288 5.288 16 C -0.084 4.084 17 C 0.227 3.773 18 O -0.469 6.469 19 N -0.200 5.200 20 C -0.428 4.428 21 H 0.121 0.879 22 C -0.180 4.180 23 N -0.542 5.542 24 Si 0.757 3.243 25 H -0.192 1.192 26 H -0.207 1.207 27 H -0.208 1.208 28 C -0.042 4.042 29 H 0.085 0.915 30 H 0.070 0.930 31 H 0.077 0.923 32 H 0.052 0.948 33 H 0.098 0.902 34 H 0.045 0.955 35 H 0.106 0.894 36 H 0.085 0.915 37 H 0.069 0.931 38 H 0.075 0.925 39 H 0.078 0.922 40 H 0.122 0.878 41 H 0.089 0.911 42 H 0.099 0.901 43 H 0.087 0.913 44 H 0.096 0.904 45 H 0.095 0.905 46 H 0.084 0.916 47 H 0.170 0.830 48 H 0.104 0.896 49 H 0.064 0.936 50 H 0.226 0.774 51 H 0.081 0.919 52 H 0.111 0.889 53 H 0.086 0.914 Dipole moment (debyes) X Y Z Total from point charges 0.072 -27.738 -6.231 28.430 hybrid contribution 1.096 -0.102 0.471 1.197 sum 1.168 -27.841 -5.760 28.454 Atomic orbital electron populations 1.21791 0.94710 1.01574 1.02544 1.22168 0.96386 0.88290 1.01077 1.61723 1.21838 1.17702 1.23449 1.22205 0.87375 1.01960 0.96428 1.21718 1.01405 1.01690 0.95188 1.22015 1.03134 0.92359 0.91818 1.20531 0.77203 0.88735 0.83561 1.90716 1.46567 1.74402 1.27529 1.48105 1.69913 1.08514 1.08131 1.21882 0.98128 0.97297 0.84400 1.22004 0.97840 0.96035 1.01375 1.21495 1.02742 0.94023 0.96320 1.21946 0.97333 0.87421 0.96823 0.90130 1.60255 1.29752 1.07945 1.30825 1.21744 1.01716 0.94405 0.90575 1.19782 0.85118 0.87329 0.85086 1.90517 1.49827 1.76233 1.30304 1.41876 1.56549 1.08469 1.13103 1.19749 1.39702 0.83036 1.00329 0.87863 1.25278 0.97192 1.00638 0.94932 1.69624 1.44704 1.36702 1.03188 0.85797 0.78017 0.82025 0.78480 1.19225 1.20750 1.20781 1.22517 0.98624 0.79419 1.03657 0.91498 0.92981 0.92275 0.94771 0.90246 0.95543 0.89372 0.91462 0.93147 0.92492 0.92185 0.87803 0.91118 0.90071 0.91316 0.90404 0.90489 0.91638 0.83025 0.89557 0.93611 0.77414 0.91913 0.88934 0.91450 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 -0.94 9.94 37.16 0.37 -0.57 16 2 C 0.05 0.34 5.54 -3.83 -0.02 0.32 16 3 N -0.52 -4.94 4.13 -236.06 -0.97 -5.91 16 4 C 0.05 0.46 5.23 -3.82 -0.02 0.44 16 5 C -0.14 -1.29 10.00 37.16 0.37 -0.92 16 6 C 0.04 0.32 3.62 -4.97 -0.02 0.30 16 7 C 0.51 6.00 7.26 -10.99 -0.08 5.92 16 8 O -0.52 -8.22 13.90 5.55 0.08 -8.14 16 9 N -0.61 -6.23 2.97 -172.52 -0.51 -6.74 16 10 C 0.11 0.71 6.37 -3.49 -0.02 0.69 16 11 C -0.13 -0.94 6.10 -26.39 -0.16 -1.10 16 12 C -0.11 -1.07 5.49 -26.69 -0.15 -1.21 16 13 C 0.08 0.94 2.62 -67.62 -0.18 0.77 16 14 H 0.08 1.07 7.80 -51.93 -0.41 0.66 16 15 N -0.66 -10.56 5.87 -107.89 -0.63 -11.19 16 16 C 0.05 0.88 5.97 -4.98 -0.03 0.85 16 17 C 0.44 10.67 7.82 -10.99 -0.09 10.58 16 18 O -0.58 -16.07 15.78 5.55 0.09 -15.98 16 19 N -0.56 -14.68 5.29 -10.96 -0.06 -14.74 16 20 C -0.30 -8.50 9.68 -14.93 -0.14 -8.64 16 21 H 0.10 3.08 7.16 -52.49 -0.38 2.70 16 22 C 0.02 0.58 5.50 -17.47 -0.10 0.48 16 23 N -0.90 -25.10 13.05 55.50 0.72 -24.38 16 24 Si 0.93 21.43 29.55 -169.99 -5.02 16.41 16 25 H -0.27 -6.16 7.11 56.52 0.40 -5.76 16 26 H -0.28 -6.38 7.11 56.52 0.40 -5.98 16 27 H -0.28 -6.39 7.11 56.52 0.40 -5.99 16 28 C 0.08 0.99 5.68 -3.73 -0.02 0.97 16 29 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 30 H 0.05 0.31 6.97 -51.93 -0.36 -0.05 16 31 H 0.06 0.29 8.14 -51.93 -0.42 -0.13 16 32 H 0.03 0.20 8.00 -51.93 -0.42 -0.21 16 33 H 0.08 0.53 6.25 -51.93 -0.32 0.20 16 34 H 0.03 0.22 8.05 -51.93 -0.42 -0.20 16 35 H 0.09 1.07 5.81 -51.93 -0.30 0.77 16 36 H 0.07 0.73 8.14 -51.93 -0.42 0.31 16 37 H 0.05 0.39 6.53 -51.93 -0.34 0.05 16 38 H 0.06 0.46 8.14 -51.93 -0.42 0.03 16 39 H 0.06 0.40 7.91 -51.93 -0.41 -0.01 16 40 H 0.10 0.71 6.28 -51.93 -0.33 0.38 16 41 H 0.07 0.42 8.14 -51.93 -0.42 0.00 16 42 H 0.08 0.37 5.93 -51.93 -0.31 0.06 16 43 H 0.07 0.52 8.14 -51.93 -0.42 0.09 16 44 H 0.08 0.41 8.14 -51.93 -0.42 -0.01 16 45 H 0.08 0.84 8.14 -51.93 -0.42 0.42 16 46 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 47 H 0.35 5.77 8.12 -39.29 -0.32 5.45 16 48 H 0.09 1.49 8.06 -51.93 -0.42 1.07 16 49 H 0.05 0.79 7.56 -51.93 -0.39 0.40 16 50 H 0.39 9.87 7.90 -40.82 -0.32 9.54 16 51 H 0.27 7.12 8.31 -40.82 -0.34 6.78 16 52 H 0.09 1.36 6.48 -51.93 -0.34 1.02 16 53 H 0.07 0.78 8.05 -51.93 -0.42 0.36 16 LS Contribution 413.09 15.07 6.23 6.23 Total: -1.00 -33.82 413.09 -9.50 -43.32 By element: Atomic # 1 Polarization: 21.41 SS G_CDS: -9.13 Total: 12.27 kcal Atomic # 6 Polarization: 9.15 SS G_CDS: -0.28 Total: 8.87 kcal Atomic # 7 Polarization: -61.51 SS G_CDS: -1.45 Total: -62.97 kcal Atomic # 8 Polarization: -24.29 SS G_CDS: 0.16 Total: -24.13 kcal Atomic # 14 Polarization: 21.43 SS G_CDS: -5.02 Total: 16.41 kcal Total LS contribution 6.23 Total: 6.23 kcal Total: -33.82 -9.50 -43.32 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. ZINC001210217504.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 -19.745 kcal (2) G-P(sol) polarization free energy of solvation -33.819 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -53.564 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.502 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.321 kcal (6) G-S(sol) free energy of system = (1) + (5) -63.066 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.75 seconds