Wall clock time and date at job start Sat Apr 11 2020 06:09:15 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 1.53007 * 1 3 3 C 1.53002 * 109.46865 * 2 1 4 4 C 1.50704 * 109.50235 * 299.99274 * 3 2 1 5 5 O 1.20821 * 120.00356 * 239.92101 * 4 3 2 6 6 O 1.34230 * 119.99715 * 59.92376 * 4 3 2 7 7 C 1.45198 * 117.00247 * 179.97438 * 6 4 3 8 8 C 1.52999 * 109.46999 * 59.99890 * 7 6 4 9 9 C 1.52995 * 109.47303 * 180.02562 * 7 6 4 10 10 C 1.53001 * 109.46915 * 300.00197 * 7 6 4 11 11 C 1.53117 * 109.54069 * 60.09351 * 3 2 1 12 12 C 1.53113 * 109.16195 * 177.61605 * 11 3 2 13 13 C 1.53035 * 109.27876 * 302.34408 * 12 11 3 14 14 N 1.46847 * 109.52272 * 59.18302 * 13 12 11 15 15 C 1.46905 * 111.00145 * 174.16154 * 14 13 12 16 16 C 1.50702 * 109.46846 * 190.58239 * 15 14 13 17 17 O 1.21289 * 120.00024 * 6.20947 * 16 15 14 18 18 N 1.34780 * 119.99808 * 186.20530 * 16 15 14 19 19 C 1.37098 * 119.99904 * 180.02562 * 18 16 15 20 20 H 1.07996 * 119.99610 * 0.02562 * 19 18 16 21 21 C 1.38951 * 119.99467 * 179.97438 * 19 18 16 22 22 N 1.31406 * 120.00184 * 0.02562 * 21 19 18 23 23 Si 1.86805 * 119.99390 * 179.97438 * 21 19 18 24 24 H 1.48501 * 109.46689 * 90.00483 * 23 21 19 25 25 H 1.48504 * 109.46880 * 210.00158 * 23 21 19 26 26 H 1.48496 * 109.47340 * 330.00338 * 23 21 19 27 27 C 1.46851 * 111.19772 * 298.25494 * 14 13 12 28 28 H 1.08999 * 109.46703 * 60.00426 * 1 2 3 29 29 H 1.09000 * 109.46714 * 180.02562 * 1 2 3 30 30 H 1.08998 * 109.47326 * 300.00753 * 1 2 3 31 31 H 1.09002 * 109.47382 * 239.99764 * 2 1 3 32 32 H 1.08999 * 109.46703 * 119.99574 * 2 1 3 33 33 H 1.08999 * 109.46985 * 60.00101 * 8 7 6 34 34 H 1.09002 * 109.47284 * 180.02562 * 8 7 6 35 35 H 1.08996 * 109.47389 * 300.00132 * 8 7 6 36 36 H 1.09001 * 109.47057 * 60.00361 * 9 7 6 37 37 H 1.09002 * 109.47044 * 180.02562 * 9 7 6 38 38 H 1.08994 * 109.47449 * 299.99569 * 9 7 6 39 39 H 1.09006 * 109.47163 * 59.99955 * 10 7 6 40 40 H 1.09000 * 109.47323 * 179.97438 * 10 7 6 41 41 H 1.09001 * 109.47578 * 299.99719 * 10 7 6 42 42 H 1.09000 * 109.52312 * 297.52702 * 11 3 2 43 43 H 1.09005 * 109.51924 * 57.70811 * 11 3 2 44 44 H 1.09004 * 109.50058 * 182.41041 * 12 11 3 45 45 H 1.08994 * 109.53762 * 62.30786 * 12 11 3 46 46 H 1.09007 * 109.46641 * 299.16433 * 13 12 11 47 47 H 1.09000 * 109.46587 * 179.19766 * 13 12 11 48 48 H 1.08996 * 109.46515 * 310.58384 * 15 14 13 49 49 H 1.09004 * 109.47054 * 70.58173 * 15 14 13 50 50 H 0.97000 * 119.99744 * 0.02562 * 18 16 15 51 51 H 0.97000 * 119.99963 * 179.97438 * 22 21 19 52 52 H 1.09000 * 109.46510 * 301.73105 * 27 14 13 53 53 H 1.09001 * 109.46529 * 181.75661 * 27 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 1.5301 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 6 1.5382 2.1536 -1.2303 5 8 2.3236 2.6142 -2.0246 6 8 0.2185 2.2752 -1.4438 7 6 -0.1928 2.9726 -2.6491 8 6 0.3561 2.2396 -3.8748 9 6 -1.7206 3.0118 -2.7194 10 6 0.3529 4.4017 -2.6228 11 6 1.5324 2.1652 1.2508 12 6 2.0960 3.5886 1.2724 13 6 3.6247 3.5273 1.2376 14 7 4.0603 2.8277 0.0222 15 6 5.5223 2.8707 -0.1147 16 6 5.9131 2.3794 -1.4848 17 8 5.0570 2.1350 -2.3084 18 7 7.2140 2.2116 -1.7948 19 6 7.5696 1.7652 -3.0413 20 1 6.8072 1.5483 -3.7749 21 6 8.9108 1.5928 -3.3610 22 7 9.8382 1.8572 -2.4684 23 14 9.3952 0.9838 -5.0593 24 1 9.5847 2.1446 -5.9658 25 1 10.6628 0.2158 -4.9667 26 1 8.3232 0.1070 -5.5951 27 6 3.5704 1.4434 0.0020 28 1 -0.3633 0.5138 -0.8900 29 1 -0.3633 -1.0277 0.0005 30 1 -0.3634 0.5139 0.8899 31 1 1.8935 -0.5139 -0.8900 32 1 1.8933 -0.5138 0.8900 33 1 -0.0327 1.2214 -3.8935 34 1 0.0477 2.7633 -4.7797 35 1 1.4445 2.2120 -3.8245 36 1 -2.1112 3.5343 -1.8462 37 1 -2.0294 3.5349 -3.6245 38 1 -2.1098 1.9938 -2.7380 39 1 1.4415 4.3741 -2.5725 40 1 0.0445 4.9251 -3.5278 41 1 -0.0381 4.9240 -1.7496 42 1 0.4433 2.2048 1.2318 43 1 1.8627 1.6290 2.1405 44 1 1.7728 4.0942 2.1824 45 1 1.7339 4.1373 0.4030 46 1 3.9869 2.9911 2.1149 47 1 4.0290 4.5396 1.2385 48 1 5.8694 3.8955 0.0165 49 1 5.9772 2.2331 0.6434 50 1 7.8986 2.4068 -1.1359 51 1 10.7745 1.7365 -2.6915 52 1 3.9327 0.9170 0.8850 53 1 3.9351 0.9421 -0.8946 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 ZINC000932686281.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 06:09:15 Heat of formation + Delta-G solvation = -120.609589 kcal Electronic energy + Delta-G solvation = -33075.245686 eV Core-core repulsion = 28947.053404 eV Total energy + Delta-G solvation = -4128.192283 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.68 seconds Orbital eigenvalues (eV) -40.98523 -39.03911 -37.69346 -36.17045 -35.12152 -33.75426 -33.50751 -32.18519 -31.06297 -29.44359 -27.38230 -27.32550 -27.22829 -24.74570 -24.40104 -23.43186 -22.63981 -20.85260 -20.13650 -18.97521 -18.57235 -17.71121 -16.41650 -16.33068 -15.79776 -15.74601 -15.37957 -14.96262 -14.47264 -14.38478 -14.31641 -14.02346 -13.77691 -13.57470 -13.37599 -13.32671 -13.14722 -12.93954 -12.54147 -12.42857 -12.21584 -12.06355 -11.97980 -11.85126 -11.75668 -11.71702 -11.39919 -11.33308 -11.21120 -11.12357 -11.04747 -10.97323 -10.81428 -10.67931 -10.32347 -10.24698 -10.14967 -10.08507 -9.92860 -9.32997 -9.23166 -8.21774 -7.81430 -7.66911 -6.30368 -3.69773 2.88669 2.96384 3.24546 3.31982 3.38119 4.03421 4.08549 4.30899 4.63390 4.73257 4.76468 4.82975 4.85880 5.01387 5.05779 5.12125 5.20715 5.29937 5.32986 5.35631 5.48843 5.52535 5.58213 5.58994 5.67885 5.69879 5.74738 5.76197 5.79186 5.81942 5.87588 5.90439 5.93037 5.96828 5.98819 6.05771 6.08554 6.09487 6.22081 6.26816 6.41637 6.43593 6.44987 6.49511 6.56983 7.00233 7.38907 7.51899 7.65925 8.19532 8.50414 8.77334 9.32146 9.69736 10.24251 10.88096 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.012996 B = 0.003551 C = 0.003171 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2153.981541 B = 7882.513255 C = 8828.103718 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.162 4.162 2 C -0.113 4.113 3 C -0.039 4.039 4 C 0.457 3.543 5 O -0.428 6.428 6 O -0.357 6.357 7 C 0.117 3.883 8 C -0.183 4.183 9 C -0.138 4.138 10 C -0.181 4.181 11 C -0.110 4.110 12 C -0.118 4.118 13 C 0.052 3.948 14 N -0.502 5.502 15 C 0.049 3.951 16 C 0.442 3.558 17 O -0.549 6.549 18 N -0.574 5.574 19 C -0.291 4.291 20 H 0.101 0.899 21 C 0.019 3.981 22 N -0.907 5.907 23 Si 0.927 3.073 24 H -0.279 1.279 25 H -0.285 1.285 26 H -0.271 1.271 27 C 0.074 3.926 28 H 0.080 0.920 29 H 0.049 0.951 30 H 0.056 0.944 31 H 0.069 0.931 32 H 0.072 0.928 33 H 0.056 0.944 34 H 0.064 0.936 35 H 0.091 0.909 36 H 0.062 0.938 37 H 0.072 0.928 38 H 0.062 0.938 39 H 0.090 0.910 40 H 0.063 0.937 41 H 0.055 0.945 42 H 0.077 0.923 43 H 0.070 0.930 44 H 0.068 0.932 45 H 0.068 0.932 46 H 0.029 0.971 47 H 0.073 0.927 48 H 0.087 0.913 49 H 0.042 0.958 50 H 0.389 0.611 51 H 0.269 0.731 52 H 0.033 0.967 53 H 0.105 0.895 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -20.163 1.066 8.849 22.045 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 -0.219 4.219 2 C -0.152 4.152 3 C -0.040 4.040 4 C 0.295 3.705 5 O -0.308 6.308 6 O -0.277 6.277 7 C 0.081 3.919 8 C -0.240 4.240 9 C -0.195 4.195 10 C -0.238 4.238 11 C -0.147 4.147 12 C -0.156 4.156 13 C -0.076 4.076 14 N -0.226 5.226 15 C -0.082 4.082 16 C 0.227 3.773 17 O -0.430 6.430 18 N -0.212 5.212 19 C -0.421 4.421 20 H 0.119 0.881 21 C -0.181 4.181 22 N -0.549 5.549 23 Si 0.754 3.246 24 H -0.206 1.206 25 H -0.211 1.211 26 H -0.196 1.196 27 C -0.054 4.054 28 H 0.099 0.901 29 H 0.069 0.931 30 H 0.075 0.925 31 H 0.087 0.913 32 H 0.091 0.909 33 H 0.075 0.925 34 H 0.083 0.917 35 H 0.109 0.891 36 H 0.081 0.919 37 H 0.091 0.909 38 H 0.081 0.919 39 H 0.109 0.891 40 H 0.082 0.918 41 H 0.074 0.926 42 H 0.095 0.905 43 H 0.089 0.911 44 H 0.087 0.913 45 H 0.087 0.913 46 H 0.047 0.953 47 H 0.091 0.909 48 H 0.105 0.895 49 H 0.060 0.940 50 H 0.222 0.778 51 H 0.079 0.921 52 H 0.051 0.949 53 H 0.123 0.877 Dipole moment (debyes) X Y Z Total from point charges -20.501 1.299 7.560 21.889 hybrid contribution 1.264 -0.446 0.220 1.358 sum -19.237 0.853 7.781 20.769 Atomic orbital electron populations 1.22069 0.94783 1.01319 1.03724 1.21526 0.96959 0.93701 1.02966 1.20656 0.96279 0.95319 0.91780 1.23100 0.80293 0.79271 0.87820 1.90827 1.55618 1.40883 1.43429 1.86585 1.26857 1.70605 1.43606 1.22000 0.94522 0.91903 0.83504 1.22482 1.04944 0.99952 0.96656 1.21822 0.92562 1.02682 1.02408 1.22467 1.04872 0.94725 1.01784 1.21720 1.01171 0.95840 0.96011 1.21615 0.95255 0.96669 1.02085 1.22149 0.95443 0.99160 0.90892 1.61419 1.10185 1.15184 1.35765 1.21830 0.87720 1.01620 0.97076 1.19808 0.83534 0.84783 0.89210 1.90611 1.48866 1.53682 1.49838 1.41884 1.05377 1.59490 1.14489 1.19662 0.92154 1.39836 0.90421 0.88093 1.25199 0.95464 0.98125 0.99352 1.69613 1.00865 1.49876 1.34544 0.85910 0.77861 0.78759 0.82051 1.20557 1.21086 1.19558 1.22087 0.91026 0.89919 1.02344 0.90146 0.93146 0.92546 0.91267 0.90934 0.92522 0.91737 0.89063 0.91878 0.90925 0.91867 0.89095 0.91812 0.92604 0.90467 0.91142 0.91334 0.91331 0.95304 0.90853 0.89513 0.93968 0.77787 0.92126 0.94920 0.87709 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 -0.16 -1.65 9.05 37.16 0.34 -1.31 16 2 C -0.11 -1.34 4.99 -26.73 -0.13 -1.47 16 3 C -0.04 -0.53 0.52 -155.58 -0.08 -0.61 16 4 C 0.46 7.20 4.52 36.01 0.16 7.36 16 5 O -0.43 -8.47 9.54 -23.55 -0.22 -8.70 16 6 O -0.36 -4.82 6.68 -39.26 -0.26 -5.08 16 7 C 0.12 1.46 1.13 -90.62 -0.10 1.36 16 8 C -0.18 -2.48 8.37 37.16 0.31 -2.17 16 9 C -0.14 -1.28 8.85 37.16 0.33 -0.95 16 10 C -0.18 -2.36 8.37 37.16 0.31 -2.05 16 11 C -0.11 -1.22 4.32 -26.61 -0.11 -1.34 16 12 C -0.12 -1.39 5.84 -26.65 -0.16 -1.54 16 13 C 0.05 0.69 5.46 -3.83 -0.02 0.67 16 14 N -0.50 -8.61 3.21 -236.10 -0.76 -9.37 16 15 C 0.05 0.91 5.45 -4.97 -0.03 0.88 16 16 C 0.44 10.68 7.31 -10.98 -0.08 10.60 16 17 O -0.55 -14.99 13.09 -6.79 -0.09 -15.08 16 18 N -0.57 -14.90 5.29 -10.96 -0.06 -14.96 16 19 C -0.29 -8.30 9.68 -14.93 -0.14 -8.45 16 20 H 0.10 3.03 7.16 -52.49 -0.38 2.66 16 21 C 0.02 0.53 5.50 -17.47 -0.10 0.43 16 22 N -0.91 -25.32 13.05 55.50 0.72 -24.59 16 23 Si 0.93 21.70 29.55 -169.99 -5.02 16.67 16 24 H -0.28 -6.49 7.11 56.52 0.40 -6.09 16 25 H -0.29 -6.52 7.11 56.52 0.40 -6.12 16 26 H -0.27 -6.33 7.11 56.52 0.40 -5.93 16 27 C 0.07 1.23 3.39 -3.83 -0.01 1.21 16 28 H 0.08 0.92 5.32 -51.93 -0.28 0.64 16 29 H 0.05 0.45 8.14 -51.93 -0.42 0.03 16 30 H 0.06 0.52 6.49 -51.93 -0.34 0.18 16 31 H 0.07 0.90 8.14 -51.93 -0.42 0.48 16 32 H 0.07 0.74 8.14 -51.93 -0.42 0.32 16 33 H 0.06 0.71 8.14 -51.93 -0.42 0.29 16 34 H 0.06 0.76 8.14 -51.93 -0.42 0.34 16 35 H 0.09 1.59 5.89 -51.93 -0.31 1.29 16 36 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 37 H 0.07 0.57 8.14 -51.93 -0.42 0.15 16 38 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 39 H 0.09 1.51 5.89 -51.93 -0.31 1.21 16 40 H 0.06 0.72 8.14 -51.93 -0.42 0.30 16 41 H 0.05 0.66 8.14 -51.93 -0.42 0.24 16 42 H 0.08 0.79 6.51 -51.93 -0.34 0.45 16 43 H 0.07 0.69 8.14 -51.93 -0.42 0.27 16 44 H 0.07 0.64 8.14 -51.93 -0.42 0.22 16 45 H 0.07 0.93 7.36 -51.93 -0.38 0.55 16 46 H 0.03 0.35 8.14 -51.93 -0.42 -0.07 16 47 H 0.07 0.94 8.01 -51.93 -0.42 0.52 16 48 H 0.09 1.49 7.98 -51.93 -0.41 1.08 16 49 H 0.04 0.72 8.12 -51.93 -0.42 0.30 16 50 H 0.39 9.74 7.90 -40.82 -0.32 9.42 16 51 H 0.27 7.13 8.31 -40.82 -0.34 6.79 16 52 H 0.03 0.49 8.14 -51.93 -0.42 0.07 16 53 H 0.10 2.16 5.99 -51.93 -0.31 1.85 16 LS Contribution 399.37 15.07 6.02 6.02 Total: -1.00 -32.35 399.37 -8.45 -40.80 By element: Atomic # 1 Polarization: 20.92 SS G_CDS: -9.26 Total: 11.66 kcal Atomic # 6 Polarization: 2.14 SS G_CDS: 0.48 Total: 2.62 kcal Atomic # 7 Polarization: -48.83 SS G_CDS: -0.09 Total: -48.92 kcal Atomic # 8 Polarization: -28.28 SS G_CDS: -0.58 Total: -28.86 kcal Atomic # 14 Polarization: 21.70 SS G_CDS: -5.02 Total: 16.67 kcal Total LS contribution 6.02 Total: 6.02 kcal Total: -32.35 -8.45 -40.80 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. ZINC000932686281.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 -79.805 kcal (2) G-P(sol) polarization free energy of solvation -32.354 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -112.159 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.451 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.805 kcal (6) G-S(sol) free energy of system = (1) + (5) -120.610 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.68 seconds