Wall clock time and date at job start Tue Mar 31 2020 19:29:10 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 1.53002 * 1 3 3 C 1.52996 * 109.46847 * 2 1 4 4 H 1.09004 * 109.49317 * 54.96224 * 3 2 1 5 5 O 1.42905 * 109.47708 * 294.93892 * 3 2 1 6 6 C 1.42904 * 114.09901 * 178.85977 * 5 3 2 7 7 C 1.53101 * 109.41294 * 61.15550 * 6 5 3 8 8 C 1.53172 * 109.16366 * 302.39604 * 7 6 5 9 9 C 1.53092 * 109.48161 * 174.99773 * 3 2 1 10 10 H 1.09006 * 109.57128 * 57.65184 * 9 3 2 11 11 C 1.50694 * 109.51962 * 297.49435 * 9 3 2 12 12 O 1.21275 * 120.00368 * 0.31028 * 11 9 3 13 13 N 1.34784 * 119.99590 * 180.31263 * 11 9 3 14 14 C 1.46500 * 119.99511 * 179.97438 * 13 11 9 15 15 C 1.53952 * 113.57418 * 155.00221 * 14 13 11 16 16 C 1.52906 * 86.78292 * 139.33866 * 15 14 13 17 17 C 1.52913 * 121.13846 * 100.81627 * 16 15 14 18 18 C 1.53952 * 86.78179 * 100.82243 * 17 16 15 19 19 N 1.46500 * 113.57731 * 270.05295 * 18 17 16 20 20 C 1.36930 * 119.99962 * 203.57565 * 19 18 17 21 21 H 1.08002 * 120.00285 * 359.97438 * 20 19 18 22 22 C 1.38816 * 120.00246 * 180.02562 * 20 19 18 23 23 N 1.31613 * 119.99776 * 359.97438 * 22 20 19 24 24 Si 1.86801 * 120.00073 * 180.02562 * 22 20 19 25 25 H 1.48504 * 109.47362 * 59.99853 * 24 22 20 26 26 H 1.48496 * 109.47073 * 179.97438 * 24 22 20 27 27 H 1.48496 * 109.47258 * 299.99909 * 24 22 20 28 28 C 1.53068 * 121.06931 * 209.35994 * 16 15 14 29 29 C 1.52911 * 88.04026 * 335.10071 * 16 15 14 30 30 H 1.09007 * 109.46875 * 180.02562 * 1 2 3 31 31 H 1.08993 * 109.47851 * 300.00044 * 1 2 3 32 32 H 1.08999 * 109.47340 * 60.01116 * 1 2 3 33 33 H 1.08998 * 109.47170 * 239.99773 * 2 1 3 34 34 H 1.09003 * 109.46885 * 119.99090 * 2 1 3 35 35 H 1.09006 * 109.48356 * 301.17846 * 6 5 3 36 36 H 1.08993 * 109.49402 * 181.14490 * 6 5 3 37 37 H 1.09005 * 109.51869 * 182.48460 * 7 6 5 38 38 H 1.09005 * 109.57011 * 62.33519 * 7 6 5 39 39 H 1.09004 * 109.54099 * 297.10945 * 8 7 6 40 40 H 1.09002 * 109.54338 * 176.85187 * 8 7 6 41 41 H 0.96991 * 120.00230 * 0.02562 * 13 11 9 42 42 H 1.08996 * 112.82602 * 23.91552 * 14 13 11 43 43 H 1.08999 * 113.66546 * 24.86790 * 15 14 13 44 44 H 1.09005 * 113.74269 * 253.81702 * 15 14 13 45 45 H 1.09000 * 113.66161 * 346.35132 * 17 16 15 46 46 H 1.09004 * 113.74945 * 215.30259 * 17 16 15 47 47 H 1.09002 * 113.58142 * 139.33940 * 18 17 16 48 48 H 0.97001 * 120.00075 * 23.58408 * 19 18 17 49 49 H 0.96998 * 120.00071 * 180.02562 * 23 22 20 50 50 H 1.09003 * 113.66420 * 144.67806 * 28 16 15 51 51 H 1.09001 * 113.71350 * 13.57398 * 28 16 15 52 52 H 1.09005 * 113.66371 * 139.37856 * 29 16 15 53 53 H 1.08999 * 113.66122 * 270.42255 * 29 16 15 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 2.0399 1.4425 0.0000 4 1 1.6050 1.9820 0.8413 5 8 1.6631 2.0811 -1.2216 6 6 2.0698 3.4478 -1.3152 7 6 3.5968 3.5306 -1.2421 8 6 4.0732 2.8886 0.0644 9 6 3.5657 1.4447 0.1258 10 1 4.0004 0.8707 -0.6925 11 6 3.9633 0.8266 1.4414 12 8 3.1112 0.4184 2.2018 13 7 5.2659 0.7274 1.7730 14 6 5.6524 0.1270 3.0522 15 6 7.0724 -0.4678 3.0492 16 6 7.2275 0.1175 4.4533 17 6 7.0802 -0.7605 5.6966 18 6 8.6184 -0.7832 5.7565 19 7 9.2178 -1.8886 5.0049 20 6 10.4696 -2.3383 5.3302 21 1 11.0152 -1.8778 6.1405 22 6 11.0379 -3.3855 4.6177 23 7 10.3732 -3.9464 3.6299 24 14 12.7453 -3.9994 5.0620 25 1 12.7490 -4.4782 6.4677 26 1 13.1204 -5.1163 4.1581 27 1 13.7235 -2.8921 4.9137 28 6 8.5977 0.5477 4.9829 29 6 6.1619 1.1500 4.0837 30 1 -0.3633 -1.0277 0.0005 31 1 -0.3634 0.5138 0.8899 32 1 -0.3634 0.5136 -0.8901 33 1 1.8934 -0.5139 -0.8899 34 1 1.8933 -0.5137 0.8901 35 1 1.6353 4.0136 -0.4910 36 1 1.7281 3.8650 -2.2624 37 1 3.9067 4.5753 -1.2689 38 1 4.0322 2.9997 -2.0888 39 1 3.6789 3.4500 0.9115 40 1 5.1627 2.8939 0.0973 41 1 5.9474 1.0542 1.1651 42 1 4.8962 -0.5518 3.4463 43 1 7.7347 -0.0153 2.3111 44 1 7.0918 -1.5574 3.0248 45 1 6.6358 -1.7349 5.4938 46 1 6.6170 -0.2508 6.5415 47 1 9.0168 -0.6940 6.7671 48 1 8.7280 -2.3020 4.2768 49 1 10.7701 -4.6783 3.1323 50 1 8.5618 1.4270 5.6260 51 1 9.3641 0.6169 4.2108 52 1 5.4524 1.3528 4.8860 53 1 6.5682 2.0571 3.6364 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 ZINC000963940294.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 19:29:10 Heat of formation + Delta-G solvation = -46.505628 kcal Electronic energy + Delta-G solvation = -29913.828320 eV Core-core repulsion = 25979.305477 eV Total energy + Delta-G solvation = -3934.522842 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.93 seconds Orbital eigenvalues (eV) -40.91589 -40.05889 -38.56745 -35.85918 -34.43375 -33.87335 -33.38561 -32.08432 -30.27949 -29.44629 -25.67681 -25.61743 -25.25253 -25.04691 -23.86498 -22.66235 -21.51342 -21.21547 -20.24736 -19.86233 -17.72954 -17.33373 -17.25079 -16.76679 -16.23171 -15.70138 -15.35920 -14.96525 -14.87490 -14.83189 -14.56685 -14.11009 -13.96561 -13.59478 -13.52484 -13.47634 -13.09317 -12.73940 -12.50568 -12.46847 -12.32568 -12.08384 -11.96085 -11.71703 -11.58324 -11.53258 -11.39710 -11.19783 -10.95212 -10.90686 -10.82764 -10.61451 -10.52604 -10.20748 -10.03189 -9.91587 -9.78704 -9.65176 -9.60007 -9.23506 -8.94823 -8.84732 -6.98080 -5.80019 -3.08339 2.49240 3.02818 3.42126 3.46783 3.47593 3.56483 4.22547 4.34316 4.36935 4.54511 4.55583 4.70851 4.77578 4.80471 4.87415 4.93177 4.93775 5.03775 5.10214 5.12643 5.27232 5.31887 5.38330 5.43270 5.45392 5.45545 5.53780 5.59496 5.65329 5.77276 5.77791 5.82477 5.89054 5.92190 5.95903 5.97388 6.07224 6.15676 6.23299 6.23901 6.32217 6.33947 6.45187 6.50107 6.63993 6.79247 6.94245 6.98358 7.06435 7.44566 7.69092 8.13352 8.39755 9.50319 10.09070 10.43683 11.42485 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.018912 B = 0.002149 C = 0.002127 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1480.166557 B =13027.478340 C =13158.730245 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.145 4.145 2 C -0.125 4.125 3 C 0.115 3.885 4 H 0.066 0.934 5 O -0.375 6.375 6 C 0.058 3.942 7 C -0.155 4.155 8 C -0.114 4.114 9 C -0.142 4.142 10 H 0.105 0.895 11 C 0.521 3.479 12 O -0.537 6.537 13 N -0.714 5.714 14 C 0.121 3.879 15 C -0.113 4.113 16 C -0.091 4.091 17 C -0.135 4.135 18 C 0.169 3.831 19 N -0.705 5.705 20 C -0.241 4.241 21 H 0.071 0.929 22 C -0.013 4.013 23 N -0.933 5.933 24 Si 0.908 3.092 25 H -0.286 1.286 26 H -0.291 1.291 27 H -0.286 1.286 28 C -0.158 4.158 29 C -0.137 4.137 30 H 0.052 0.948 31 H 0.051 0.949 32 H 0.056 0.944 33 H 0.063 0.937 34 H 0.100 0.900 35 H 0.050 0.950 36 H 0.094 0.906 37 H 0.077 0.923 38 H 0.075 0.925 39 H 0.070 0.930 40 H 0.074 0.926 41 H 0.399 0.601 42 H 0.113 0.887 43 H 0.084 0.916 44 H 0.081 0.919 45 H 0.067 0.933 46 H 0.078 0.922 47 H 0.060 0.940 48 H 0.386 0.614 49 H 0.256 0.744 50 H 0.067 0.933 51 H 0.067 0.933 52 H 0.066 0.934 53 H 0.079 0.921 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -16.556 16.257 -9.323 25.006 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 -0.202 4.202 2 C -0.162 4.162 3 C 0.057 3.943 4 H 0.084 0.916 5 O -0.294 6.294 6 C -0.019 4.019 7 C -0.192 4.192 8 C -0.151 4.151 9 C -0.163 4.163 10 H 0.123 0.877 11 C 0.307 3.693 12 O -0.414 6.414 13 N -0.364 5.364 14 C 0.016 3.984 15 C -0.151 4.151 16 C -0.092 4.092 17 C -0.174 4.174 18 C 0.057 3.943 19 N -0.344 5.344 20 C -0.372 4.372 21 H 0.089 0.911 22 C -0.209 4.209 23 N -0.581 5.581 24 Si 0.739 3.261 25 H -0.212 1.212 26 H -0.217 1.217 27 H -0.213 1.213 28 C -0.199 4.199 29 C -0.176 4.176 30 H 0.071 0.929 31 H 0.070 0.930 32 H 0.076 0.924 33 H 0.082 0.918 34 H 0.118 0.882 35 H 0.068 0.932 36 H 0.112 0.888 37 H 0.096 0.904 38 H 0.093 0.907 39 H 0.088 0.912 40 H 0.093 0.907 41 H 0.234 0.766 42 H 0.131 0.869 43 H 0.102 0.898 44 H 0.099 0.901 45 H 0.086 0.914 46 H 0.096 0.904 47 H 0.078 0.922 48 H 0.220 0.780 49 H 0.066 0.934 50 H 0.086 0.914 51 H 0.085 0.915 52 H 0.085 0.915 53 H 0.097 0.903 Dipole moment (debyes) X Y Z Total from point charges -17.090 15.768 -8.858 24.883 hybrid contribution 1.452 -0.050 -0.268 1.478 sum -15.637 15.718 -9.126 23.976 Atomic orbital electron populations 1.21658 0.95365 1.01404 1.01771 1.21779 0.96821 0.93864 1.03770 1.21860 0.90524 0.95125 0.86839 0.91636 1.87966 1.78241 1.24391 1.38813 1.22582 0.93659 0.83537 1.02130 1.22200 0.97154 1.01774 0.98098 1.21587 1.01397 0.93636 0.98528 1.22041 0.99375 0.98035 0.96888 0.87675 1.20359 0.82802 0.78451 0.87678 1.90662 1.49701 1.48716 1.52367 1.46094 1.07132 1.61882 1.21261 1.22687 0.96773 0.96001 0.82893 1.22989 0.93957 1.01810 0.96345 1.22083 0.96064 0.96622 0.94399 1.23212 0.99560 0.98907 0.95747 1.21093 0.90654 0.88038 0.94555 1.42166 1.17307 1.36309 1.38573 1.19247 0.92456 1.12428 1.13105 0.91115 1.24745 0.98685 0.99028 0.98431 1.69644 1.37860 1.27171 1.23440 0.86257 0.84223 0.78139 0.77501 1.21236 1.21715 1.21281 1.23645 0.95270 1.00018 1.01016 1.23287 0.98238 0.97492 0.98541 0.92867 0.92962 0.92449 0.91840 0.88218 0.93200 0.88781 0.90432 0.90667 0.91163 0.90719 0.76632 0.86935 0.89770 0.90069 0.91425 0.90363 0.92239 0.77998 0.93427 0.91412 0.91455 0.91503 0.90283 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -0.14 -1.42 9.81 37.16 0.36 -1.05 16 2 C -0.13 -1.35 5.40 -26.73 -0.14 -1.50 16 3 C 0.11 1.17 1.78 -26.69 -0.05 1.13 16 4 H 0.07 0.74 8.04 -51.93 -0.42 0.32 16 5 O -0.38 -3.73 9.94 -35.23 -0.35 -4.08 16 6 C 0.06 0.41 6.84 37.21 0.25 0.67 16 7 C -0.15 -0.95 6.14 -26.59 -0.16 -1.12 16 8 C -0.11 -0.82 5.18 -26.55 -0.14 -0.96 16 9 C -0.14 -1.31 2.23 -91.64 -0.20 -1.51 16 10 H 0.11 0.91 8.14 -51.93 -0.42 0.49 16 11 C 0.52 6.14 6.84 -10.99 -0.08 6.06 16 12 O -0.54 -8.09 13.43 5.56 0.07 -8.01 16 13 N -0.71 -7.80 5.26 -52.86 -0.28 -8.08 16 14 C 0.12 1.58 4.24 -66.95 -0.28 1.30 16 15 C -0.11 -1.68 7.16 -26.28 -0.19 -1.87 16 16 C -0.09 -1.37 1.03 -154.63 -0.16 -1.53 16 17 C -0.14 -2.21 7.58 -26.28 -0.20 -2.41 16 18 C 0.17 3.30 4.54 -66.95 -0.30 3.00 16 19 N -0.70 -17.24 5.30 -52.47 -0.28 -17.51 16 20 C -0.24 -6.59 9.97 -15.06 -0.15 -6.74 16 21 H 0.07 1.88 7.83 -52.49 -0.41 1.46 16 22 C -0.01 -0.36 5.50 -17.43 -0.10 -0.46 16 23 N -0.93 -27.68 13.06 55.49 0.72 -26.96 16 24 Si 0.91 22.13 29.55 -169.99 -5.02 17.11 16 25 H -0.29 -6.87 7.11 56.52 0.40 -6.47 16 26 H -0.29 -7.17 7.11 56.52 0.40 -6.77 16 27 H -0.29 -6.86 7.11 56.52 0.40 -6.46 16 28 C -0.16 -2.66 7.65 -26.20 -0.20 -2.86 16 29 C -0.14 -1.75 7.64 -26.28 -0.20 -1.95 16 30 H 0.05 0.48 8.14 -51.92 -0.42 0.05 16 31 H 0.05 0.51 8.14 -51.93 -0.42 0.09 16 32 H 0.06 0.55 7.82 -51.93 -0.41 0.14 16 33 H 0.06 0.66 8.14 -51.93 -0.42 0.24 16 34 H 0.10 1.26 5.64 -51.93 -0.29 0.97 16 35 H 0.05 0.34 8.14 -51.93 -0.42 -0.09 16 36 H 0.09 0.53 8.14 -51.93 -0.42 0.10 16 37 H 0.08 0.37 8.14 -51.93 -0.42 -0.05 16 38 H 0.07 0.47 8.14 -51.93 -0.42 0.05 16 39 H 0.07 0.55 8.14 -51.93 -0.42 0.12 16 40 H 0.07 0.46 7.67 -51.93 -0.40 0.06 16 41 H 0.40 3.49 8.21 -40.82 -0.34 3.15 16 42 H 0.11 1.67 7.46 -51.93 -0.39 1.29 16 43 H 0.08 1.21 8.12 -51.93 -0.42 0.78 16 44 H 0.08 1.39 7.48 -51.93 -0.39 1.01 16 45 H 0.07 1.18 8.14 -51.93 -0.42 0.76 16 46 H 0.08 1.12 8.14 -51.93 -0.42 0.70 16 47 H 0.06 1.17 8.11 -51.93 -0.42 0.75 16 48 H 0.39 9.92 6.80 -40.82 -0.28 9.64 16 49 H 0.26 7.39 8.31 -40.82 -0.34 7.05 16 50 H 0.07 1.01 8.14 -51.93 -0.42 0.58 16 51 H 0.07 1.25 8.14 -51.93 -0.42 0.83 16 52 H 0.07 0.85 8.14 -51.93 -0.42 0.43 16 53 H 0.08 0.93 8.14 -51.93 -0.42 0.51 16 LS Contribution 411.05 15.07 6.19 6.19 Total: -1.00 -30.91 411.05 -10.51 -41.42 By element: Atomic # 1 Polarization: 21.38 SS G_CDS: -9.63 Total: 11.74 kcal Atomic # 6 Polarization: -9.88 SS G_CDS: -1.94 Total: -11.81 kcal Atomic # 7 Polarization: -52.72 SS G_CDS: 0.17 Total: -52.56 kcal Atomic # 8 Polarization: -11.82 SS G_CDS: -0.28 Total: -12.09 kcal Atomic # 14 Polarization: 22.13 SS G_CDS: -5.02 Total: 17.11 kcal Total LS contribution 6.19 Total: 6.19 kcal Total: -30.91 -10.51 -41.42 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. ZINC000963940294.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 -5.086 kcal (2) G-P(sol) polarization free energy of solvation -30.914 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -36.000 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.506 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.420 kcal (6) G-S(sol) free energy of system = (1) + (5) -46.506 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.93 seconds