Wall clock time and date at job start Sat Apr 11 2020 06:12:47 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 C 1.52991 * 109.47136 * 2 1 4 4 C 1.53007 * 109.46550 * 119.99771 * 2 1 3 5 5 O 1.42905 * 109.46533 * 175.00393 * 4 2 1 6 6 C 1.42904 * 113.99714 * 179.97438 * 5 4 2 7 7 H 1.09001 * 109.46874 * 29.99806 * 6 5 4 8 8 C 1.52992 * 109.47237 * 269.99984 * 6 5 4 9 9 C 1.50695 * 109.46804 * 149.99510 * 6 5 4 10 10 O 1.21285 * 120.00489 * 5.00161 * 9 6 5 11 11 N 1.34778 * 119.99841 * 184.99865 * 9 6 5 12 12 C 1.47482 * 125.66089 * 359.69876 * 11 9 6 13 13 C 1.55258 * 104.78230 * 155.91388 * 12 11 9 14 14 C 1.54517 * 101.42796 * 36.67582 * 13 12 11 15 15 C 1.47183 * 125.66538 * 180.02562 * 11 9 6 16 16 C 1.52518 * 110.05330 * 206.73886 * 14 13 12 17 17 N 1.47307 * 108.41462 * 287.84812 * 16 14 13 18 18 C 1.36937 * 121.05589 * 130.60921 * 17 16 14 19 19 H 1.08003 * 119.99197 * 205.76973 * 18 17 16 20 20 C 1.38803 * 120.00417 * 25.78068 * 18 17 16 21 21 N 1.31621 * 120.00047 * 16.73080 * 20 18 17 22 22 Si 1.86805 * 120.00080 * 196.73672 * 20 18 17 23 23 H 1.48505 * 109.47032 * 89.99678 * 22 20 18 24 24 H 1.48501 * 109.47125 * 209.99375 * 22 20 18 25 25 H 1.48496 * 109.47009 * 329.99778 * 22 20 18 26 26 C 1.47157 * 117.87459 * 310.63992 * 17 16 14 27 27 C 1.53280 * 108.54313 * 51.13177 * 26 17 16 28 28 O 1.42062 * 110.33866 * 83.75253 * 14 13 12 29 29 H 1.09000 * 109.47695 * 300.00370 * 1 2 3 30 30 H 1.09003 * 109.47134 * 60.00325 * 1 2 3 31 31 H 1.09005 * 109.47238 * 180.02562 * 1 2 3 32 32 H 1.08996 * 109.47229 * 239.99570 * 2 1 3 33 33 H 1.09004 * 109.47745 * 59.99689 * 3 2 1 34 34 H 1.08994 * 109.47523 * 179.97438 * 3 2 1 35 35 H 1.09003 * 109.46843 * 299.99852 * 3 2 1 36 36 H 1.08996 * 109.46806 * 294.99949 * 4 2 1 37 37 H 1.08995 * 109.47382 * 55.00036 * 4 2 1 38 38 H 1.08998 * 109.47642 * 179.97438 * 8 6 5 39 39 H 1.09006 * 109.46753 * 300.00081 * 8 6 5 40 40 H 1.09005 * 109.47521 * 59.99711 * 8 6 5 41 41 H 1.09008 * 110.35104 * 274.86398 * 12 11 9 42 42 H 1.08997 * 110.35829 * 37.15055 * 12 11 9 43 43 H 1.09000 * 111.21425 * 278.57629 * 13 12 11 44 44 H 1.09007 * 110.90735 * 154.63696 * 13 12 11 45 45 H 1.09003 * 109.90887 * 300.84470 * 15 11 9 46 46 H 1.09001 * 109.90907 * 61.91968 * 15 11 9 47 47 H 1.08997 * 109.68055 * 47.58375 * 16 14 13 48 48 H 1.09003 * 109.67251 * 168.12253 * 16 14 13 49 49 H 0.97004 * 119.99820 * 179.97438 * 21 20 18 50 50 H 1.09006 * 109.62355 * 291.41507 * 26 17 16 51 51 H 1.09003 * 109.78040 * 170.94386 * 26 17 16 52 52 H 1.09010 * 109.51107 * 187.16004 * 27 26 17 53 53 H 1.08994 * 109.51260 * 67.00761 * 27 26 17 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 1.4424 0.0000 4 6 2.0399 -0.7213 1.2494 5 8 3.4641 -0.8237 1.1922 6 6 4.0449 -1.4845 2.3183 7 1 3.3405 -2.2167 2.7130 8 6 4.3707 -0.4547 3.4018 9 6 5.3104 -2.1835 1.8928 10 8 5.7274 -2.0478 0.7620 11 7 5.9788 -2.9595 2.7689 12 6 5.5899 -3.2060 4.1700 13 6 6.2508 -4.5635 4.5316 14 6 7.5896 -4.4656 3.7664 15 6 7.2218 -3.6961 2.4883 16 6 8.0993 -5.8616 3.4236 17 7 8.5741 -6.5010 4.6628 18 6 8.1745 -7.7658 5.0031 19 1 8.1642 -8.0681 6.0399 20 6 7.7828 -8.6592 4.0157 21 7 8.0967 -8.4295 2.7582 22 14 6.8100 -10.1875 4.4713 23 1 5.3575 -9.8822 4.4235 24 1 7.1190 -11.2759 3.5095 25 1 7.1802 -10.6191 5.8431 26 6 9.4910 -5.7369 5.5237 27 6 8.8786 -4.3559 5.7834 28 8 8.5449 -3.7457 4.5328 29 1 -0.3634 0.5139 0.8899 30 1 -0.3633 0.5138 -0.8900 31 1 -0.3634 -1.0277 0.0005 32 1 1.8933 -0.5139 -0.8899 33 1 1.6766 1.9564 0.8900 34 1 3.1299 1.4425 0.0005 35 1 1.6766 1.9562 -0.8900 36 1 1.7515 -0.1582 2.1370 37 1 1.6053 -1.7197 1.2953 38 1 4.8133 -0.9587 4.2609 39 1 5.0751 0.2776 3.0070 40 1 3.4553 0.0510 3.7095 41 1 5.9699 -2.4129 4.8141 42 1 4.5056 -3.2780 4.2555 43 1 5.6544 -5.4012 4.1704 44 1 6.4193 -4.6402 5.6059 45 1 7.0616 -4.3952 1.6675 46 1 8.0173 -2.9971 2.2304 47 1 7.2909 -6.4520 2.9925 48 1 8.9208 -5.7876 2.7109 49 1 7.8233 -9.0541 2.0682 50 1 10.4528 -5.6226 5.0236 51 1 9.6302 -6.2596 6.4700 52 1 9.5990 -3.7318 6.3123 53 1 7.9777 -4.4649 6.3872 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 ZINC001485553965.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 06:12:47 Heat of formation + Delta-G solvation = -99.402685 kcal Electronic energy + Delta-G solvation = -31594.511268 eV Core-core repulsion = 27467.238585 eV Total energy + Delta-G solvation = -4127.272683 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.90 seconds Orbital eigenvalues (eV) -40.41354 -39.19637 -37.97462 -36.09339 -35.31999 -34.50263 -32.22858 -31.33335 -30.63677 -29.54229 -27.45356 -27.40323 -26.48528 -25.89879 -24.17412 -23.40766 -22.39050 -21.34870 -20.60183 -19.31722 -18.84331 -17.42016 -17.19643 -16.74905 -16.05236 -15.90641 -15.44673 -15.28444 -14.92709 -14.60856 -14.42861 -14.30530 -14.14437 -13.62920 -13.46946 -13.35646 -13.09871 -12.94316 -12.79580 -12.71347 -12.50720 -12.42195 -12.23824 -12.18359 -12.12970 -11.52914 -11.35344 -11.32463 -11.14594 -11.12163 -11.01004 -10.89156 -10.80821 -10.73454 -10.31488 -10.29974 -10.00920 -9.98062 -9.59042 -9.44298 -9.08152 -8.58093 -8.47960 -6.80281 -5.88893 -3.32043 2.70930 2.75208 3.30353 3.37631 3.39525 3.68485 4.16517 4.37660 4.44165 4.58303 4.62789 4.73829 4.82494 4.82813 4.90448 5.00833 5.12923 5.21512 5.22786 5.31535 5.33179 5.35052 5.41169 5.44979 5.52650 5.55143 5.59585 5.63567 5.68600 5.74773 5.81026 5.81695 5.91825 5.95080 6.02750 6.04619 6.12034 6.12259 6.24249 6.30174 6.42566 6.47026 6.58961 6.74852 6.95847 7.01955 7.40506 7.63577 7.66734 7.87345 8.27281 8.29767 9.05764 9.68926 10.26154 11.19404 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.015423 B = 0.002683 C = 0.002451 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1815.082797 B =10434.792900 C =11420.957743 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C -0.095 4.095 3 C -0.144 4.144 4 C 0.063 3.937 5 O -0.355 6.355 6 C 0.077 3.923 7 H 0.083 0.917 8 C -0.173 4.173 9 C 0.528 3.472 10 O -0.523 6.523 11 N -0.612 5.612 12 C 0.098 3.902 13 C -0.144 4.144 14 C 0.086 3.914 15 C 0.128 3.872 16 C 0.163 3.837 17 N -0.592 5.592 18 C -0.254 4.254 19 H 0.069 0.931 20 C 0.003 3.997 21 N -0.902 5.902 22 Si 0.903 3.097 23 H -0.287 1.287 24 H -0.290 1.290 25 H -0.279 1.279 26 C 0.109 3.891 27 C 0.046 3.954 28 O -0.377 6.377 29 H 0.055 0.945 30 H 0.061 0.939 31 H 0.056 0.944 32 H 0.080 0.920 33 H 0.051 0.949 34 H 0.065 0.935 35 H 0.052 0.948 36 H 0.050 0.950 37 H 0.049 0.951 38 H 0.076 0.924 39 H 0.070 0.930 40 H 0.067 0.933 41 H 0.071 0.929 42 H 0.070 0.930 43 H 0.087 0.913 44 H 0.089 0.911 45 H 0.086 0.914 46 H 0.076 0.924 47 H 0.098 0.902 48 H 0.030 0.970 49 H 0.256 0.744 50 H 0.027 0.973 51 H 0.062 0.938 52 H 0.083 0.917 53 H 0.048 0.952 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -12.316 16.275 2.540 20.567 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 -0.203 4.203 2 C -0.114 4.114 3 C -0.201 4.201 4 C -0.014 4.014 5 O -0.273 6.273 6 C 0.016 3.984 7 H 0.101 0.899 8 C -0.230 4.230 9 C 0.315 3.685 10 O -0.399 6.399 11 N -0.347 5.347 12 C -0.024 4.024 13 C -0.182 4.182 14 C 0.044 3.956 15 C 0.005 3.995 16 C 0.037 3.963 17 N -0.316 5.316 18 C -0.383 4.383 19 H 0.087 0.913 20 C -0.196 4.196 21 N -0.546 5.546 22 Si 0.733 3.267 23 H -0.214 1.214 24 H -0.217 1.217 25 H -0.204 1.204 26 C -0.018 4.018 27 C -0.032 4.032 28 O -0.296 6.296 29 H 0.074 0.926 30 H 0.080 0.920 31 H 0.075 0.925 32 H 0.099 0.901 33 H 0.070 0.930 34 H 0.084 0.916 35 H 0.072 0.928 36 H 0.068 0.932 37 H 0.068 0.932 38 H 0.095 0.905 39 H 0.089 0.911 40 H 0.086 0.914 41 H 0.089 0.911 42 H 0.089 0.911 43 H 0.106 0.894 44 H 0.107 0.893 45 H 0.104 0.896 46 H 0.094 0.906 47 H 0.116 0.884 48 H 0.048 0.952 49 H 0.066 0.934 50 H 0.044 0.956 51 H 0.081 0.919 52 H 0.101 0.899 53 H 0.066 0.934 Dipole moment (debyes) X Y Z Total from point charges -11.973 16.516 1.502 20.455 hybrid contribution -0.704 -1.246 0.620 1.559 sum -12.677 15.270 2.122 19.960 Atomic orbital electron populations 1.21789 0.94325 1.02012 1.02163 1.21087 0.95309 0.97016 0.97983 1.21782 1.02206 0.94940 1.01211 1.22704 0.81073 0.99321 0.98258 1.88033 1.19662 1.77788 1.41777 1.21784 0.93873 0.94885 0.87868 0.89901 1.22285 1.03032 0.99618 0.98092 1.19936 0.85043 0.78817 0.84704 1.90718 1.68073 1.61805 1.19256 1.48507 1.26297 1.47642 1.12299 1.22564 0.99341 0.98405 0.82140 1.23242 0.97121 0.95680 1.02181 1.22641 0.88240 0.94664 0.90031 1.21787 0.85497 0.95257 0.96919 1.21209 0.99441 0.87114 0.88561 1.44068 1.50925 1.13873 1.22737 1.19165 1.39134 0.87920 0.92061 0.91302 1.25038 1.01162 0.97640 0.95739 1.70011 1.47122 1.37667 0.99808 0.86273 0.80138 0.82598 0.77665 1.21392 1.21675 1.20419 1.21588 0.93022 0.91432 0.95724 1.23107 0.98946 0.95780 0.85337 1.87676 1.60890 1.48920 1.32093 0.92565 0.91985 0.92482 0.90110 0.93030 0.91631 0.92843 0.93224 0.93248 0.90499 0.91110 0.91427 0.91077 0.91142 0.89413 0.89276 0.89613 0.90607 0.88408 0.95194 0.93389 0.95557 0.91906 0.89914 0.93394 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 -0.15 -0.98 9.19 37.16 0.34 -0.64 16 2 C -0.10 -0.85 3.16 -90.62 -0.29 -1.14 16 3 C -0.14 -1.25 9.09 37.15 0.34 -0.91 16 4 C 0.06 0.62 5.13 37.16 0.19 0.81 16 5 O -0.35 -4.76 9.06 -55.09 -0.50 -5.26 16 6 C 0.08 0.96 2.48 -27.89 -0.07 0.89 16 7 H 0.08 0.86 7.27 -51.93 -0.38 0.48 16 8 C -0.17 -1.71 9.39 37.15 0.35 -1.36 16 9 C 0.53 8.69 7.24 -10.99 -0.08 8.61 16 10 O -0.52 -10.80 16.84 -14.31 -0.24 -11.05 16 11 N -0.61 -9.62 3.33 -170.53 -0.57 -10.19 16 12 C 0.10 1.28 5.34 -2.31 -0.01 1.26 16 13 C -0.14 -2.30 5.93 -24.74 -0.15 -2.45 16 14 C 0.09 1.58 0.83 -89.73 -0.07 1.51 16 15 C 0.13 2.28 6.24 -3.33 -0.02 2.26 16 16 C 0.16 3.72 3.95 -3.85 -0.02 3.70 16 17 N -0.59 -14.00 2.95 -172.18 -0.51 -14.51 16 18 C -0.25 -6.55 9.66 -15.06 -0.15 -6.70 16 19 H 0.07 1.74 7.88 -52.48 -0.41 1.33 16 20 C 0.00 0.08 4.96 -17.43 -0.09 0.00 16 21 N -0.90 -25.27 11.12 55.49 0.62 -24.65 16 22 Si 0.90 20.85 29.59 -169.99 -5.03 15.82 16 23 H -0.29 -6.57 7.11 56.52 0.40 -6.17 16 24 H -0.29 -6.86 7.11 56.52 0.40 -6.46 16 25 H -0.28 -6.30 7.11 56.52 0.40 -5.90 16 26 C 0.11 2.15 6.71 -3.54 -0.02 2.13 16 27 C 0.05 0.76 6.76 37.30 0.25 1.02 16 28 O -0.38 -6.91 10.22 -35.23 -0.36 -7.27 16 29 H 0.06 0.34 8.14 -51.93 -0.42 -0.09 16 30 H 0.06 0.38 8.14 -51.93 -0.42 -0.05 16 31 H 0.06 0.37 8.14 -51.93 -0.42 -0.06 16 32 H 0.08 0.82 8.14 -51.93 -0.42 0.40 16 33 H 0.05 0.39 8.14 -51.93 -0.42 -0.03 16 34 H 0.06 0.69 7.82 -51.93 -0.41 0.28 16 35 H 0.05 0.41 8.14 -51.93 -0.42 -0.02 16 36 H 0.05 0.40 7.87 -51.93 -0.41 -0.01 16 37 H 0.05 0.45 8.08 -51.93 -0.42 0.03 16 38 H 0.08 0.70 5.55 -51.93 -0.29 0.41 16 39 H 0.07 0.78 8.14 -51.93 -0.42 0.36 16 40 H 0.07 0.53 7.87 -51.93 -0.41 0.12 16 41 H 0.07 0.85 7.17 -51.92 -0.37 0.48 16 42 H 0.07 0.74 7.33 -51.93 -0.38 0.36 16 43 H 0.09 1.52 7.86 -51.93 -0.41 1.11 16 44 H 0.09 1.39 5.98 -51.92 -0.31 1.08 16 45 H 0.09 1.62 7.79 -51.93 -0.40 1.22 16 46 H 0.08 1.39 8.07 -51.93 -0.42 0.97 16 47 H 0.10 2.46 5.96 -51.93 -0.31 2.15 16 48 H 0.03 0.75 8.14 -51.93 -0.42 0.33 16 49 H 0.26 6.99 8.31 -40.82 -0.34 6.65 16 50 H 0.03 0.55 8.14 -51.93 -0.42 0.12 16 51 H 0.06 1.17 7.96 -51.93 -0.41 0.76 16 52 H 0.08 1.15 8.14 -51.92 -0.42 0.72 16 53 H 0.05 0.75 6.14 -51.93 -0.32 0.44 16 LS Contribution 406.83 15.07 6.13 6.13 Total: -1.00 -31.57 406.83 -9.37 -40.94 By element: Atomic # 1 Polarization: 10.45 SS G_CDS: -9.42 Total: 1.03 kcal Atomic # 6 Polarization: 8.49 SS G_CDS: 0.51 Total: 9.00 kcal Atomic # 7 Polarization: -48.89 SS G_CDS: -0.46 Total: -49.35 kcal Atomic # 8 Polarization: -22.47 SS G_CDS: -1.10 Total: -23.57 kcal Atomic # 14 Polarization: 20.85 SS G_CDS: -5.03 Total: 15.82 kcal Total LS contribution 6.13 Total: 6.13 kcal Total: -31.57 -9.37 -40.94 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. ZINC001485553965.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 -58.461 kcal (2) G-P(sol) polarization free energy of solvation -31.573 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -90.035 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.368 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.941 kcal (6) G-S(sol) free energy of system = (1) + (5) -99.403 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.90 seconds