Wall clock time and date at job start Sat Apr 11 2020 06:11:13 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 1.52994 * 1 3 3 C 1.52998 * 109.47106 * 2 1 4 4 N 1.46902 * 109.47513 * 119.99913 * 2 1 3 5 5 C 1.46902 * 110.99783 * 298.95480 * 4 2 1 6 6 C 1.46901 * 111.00326 * 174.99722 * 4 2 1 7 7 C 1.50691 * 109.47131 * 190.00014 * 6 4 2 8 8 O 1.21283 * 120.00448 * 0.02562 * 7 6 4 9 9 N 1.34778 * 119.99999 * 180.02562 * 7 6 4 10 10 C 1.47019 * 125.64849 * 359.68673 * 9 7 6 11 11 C 1.54314 * 107.27976 * 180.97230 * 10 9 7 12 12 C 1.55160 * 102.86295 * 22.52919 * 11 10 9 13 13 H 1.08999 * 111.00677 * 82.37441 * 12 11 10 14 14 N 1.46897 * 111.03837 * 206.22023 * 12 11 10 15 15 C 1.46904 * 110.99703 * 300.53440 * 14 12 11 16 16 C 1.46903 * 111.00166 * 176.58273 * 14 12 11 17 17 C 1.50698 * 109.47139 * 189.99645 * 16 14 12 18 18 O 1.21298 * 120.00079 * 359.97438 * 17 16 14 19 19 N 1.34781 * 119.99812 * 179.97438 * 17 16 14 20 20 C 1.37095 * 119.99808 * 179.97438 * 19 17 16 21 21 H 1.07997 * 120.00220 * 0.02562 * 20 19 17 22 22 C 1.38945 * 119.99862 * 179.97438 * 20 19 17 23 23 N 1.31417 * 120.00386 * 0.02562 * 22 20 19 24 24 Si 1.86802 * 119.99919 * 180.02562 * 22 20 19 25 25 H 1.48494 * 109.47205 * 60.00422 * 24 22 20 26 26 H 1.48501 * 109.46877 * 180.02562 * 24 22 20 27 27 H 1.48501 * 109.47141 * 300.00253 * 24 22 20 28 28 C 1.47433 * 125.65078 * 180.02562 * 9 7 6 29 29 H 1.09005 * 109.46914 * 300.00054 * 1 2 3 30 30 H 1.09000 * 109.47487 * 59.99803 * 1 2 3 31 31 H 1.09008 * 109.47290 * 180.02562 * 1 2 3 32 32 H 1.09005 * 109.46914 * 239.99946 * 2 1 3 33 33 H 1.08993 * 109.47571 * 60.00405 * 3 2 1 34 34 H 1.09010 * 109.47274 * 180.02562 * 3 2 1 35 35 H 1.09003 * 109.47112 * 299.99662 * 3 2 1 36 36 H 1.08996 * 109.46892 * 296.04305 * 5 4 2 37 37 H 1.08994 * 109.46882 * 56.04590 * 5 4 2 38 38 H 1.09000 * 109.46581 * 176.04119 * 5 4 2 39 39 H 1.09002 * 109.46879 * 310.00192 * 6 4 2 40 40 H 1.09002 * 109.46685 * 69.99829 * 6 4 2 41 41 H 1.08998 * 109.88825 * 300.51943 * 10 9 7 42 42 H 1.09008 * 109.88133 * 61.68432 * 10 9 7 43 43 H 1.09006 * 110.92272 * 264.11704 * 11 10 9 44 44 H 1.08998 * 110.74551 * 140.85789 * 11 10 9 45 45 H 1.08994 * 109.47614 * 65.78317 * 15 14 12 46 46 H 1.08998 * 109.46876 * 185.79000 * 15 14 12 47 47 H 1.09007 * 109.47016 * 305.78217 * 15 14 12 48 48 H 1.09002 * 109.46575 * 309.99671 * 16 14 12 49 49 H 1.08997 * 109.47243 * 69.99081 * 16 14 12 50 50 H 0.97001 * 119.99936 * 359.97438 * 19 17 16 51 51 H 0.96994 * 120.00452 * 179.97438 * 23 22 20 52 52 H 1.08997 * 110.36402 * 274.66984 * 28 9 7 53 53 H 1.09000 * 110.36314 * 36.99452 * 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 1.5299 0.0000 0.0000 3 6 2.0399 1.4425 0.0000 4 7 2.0197 -0.6925 1.1994 5 6 1.5692 -0.0120 2.4209 6 6 3.4833 -0.8165 1.1751 7 6 3.9279 -1.7364 2.2827 8 8 3.1065 -2.2397 3.0196 9 7 5.2385 -2.0000 2.4544 10 6 6.3348 -1.4655 1.6336 11 6 7.6496 -2.0572 2.1834 12 6 7.1718 -3.3384 2.9166 13 1 7.0408 -4.1635 2.2165 14 7 8.1007 -3.7074 3.9931 15 6 9.4486 -3.9543 3.4637 16 6 7.6064 -4.8726 4.7387 17 6 8.4460 -5.0715 5.9743 18 8 9.3661 -4.3171 6.2102 19 7 8.1746 -6.0877 6.8171 20 6 8.9387 -6.2689 7.9408 21 1 9.7579 -5.5972 8.1509 22 6 8.6586 -7.3162 8.8099 23 7 7.6615 -8.1332 8.5545 24 14 9.6994 -7.5627 10.3414 25 1 9.6137 -6.3529 11.1982 26 1 9.1992 -8.7402 11.0954 27 1 11.1129 -7.7914 9.9478 28 6 5.8096 -2.8778 3.4923 29 1 -0.3633 0.5139 0.8900 30 1 -0.3634 0.5138 -0.8899 31 1 -0.3634 -1.0277 0.0005 32 1 1.8933 -0.5139 -0.8900 33 1 1.6767 1.9563 0.8899 34 1 3.1300 1.4425 -0.0005 35 1 1.6766 1.9563 -0.8900 36 1 2.0053 0.9861 2.4626 37 1 0.4821 0.0664 2.4132 38 1 1.8861 -0.5838 3.2932 39 1 3.7973 -1.2256 0.2148 40 1 3.9335 0.1661 1.3161 41 1 6.1985 -1.7628 0.5939 42 1 6.3592 -0.3783 1.7103 43 1 8.1248 -1.3679 2.8814 44 1 8.3295 -2.3095 1.3696 45 1 9.8595 -3.0255 3.0682 46 1 10.0907 -4.3244 4.2629 47 1 9.3958 -4.6965 2.6670 48 1 6.5687 -4.7055 5.0276 49 1 7.6699 -5.7603 4.1095 50 1 7.4386 -6.6907 6.6285 51 1 7.4662 -8.8645 9.1611 52 1 5.9575 -2.3231 4.4188 53 1 5.1599 -3.7362 3.6626 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 ZINC001194284360.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 06:11:13 Heat of formation + Delta-G solvation = -42.010727 kcal Electronic energy + Delta-G solvation = -30265.671512 eV Core-core repulsion = 26173.180283 eV Total energy + Delta-G solvation = -4092.491229 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.78 seconds Orbital eigenvalues (eV) -40.46294 -39.12797 -38.26571 -37.37125 -35.44924 -33.81367 -32.30758 -31.28059 -31.02433 -29.46539 -28.24996 -27.84123 -27.34689 -25.48780 -24.85254 -23.59030 -22.87032 -20.33564 -20.08974 -19.38475 -19.01520 -17.82971 -17.53023 -16.83306 -16.33113 -15.90840 -15.74011 -15.47688 -14.92438 -14.63532 -14.59501 -14.35913 -14.09115 -14.01949 -13.71735 -13.65427 -13.47163 -13.35876 -13.06705 -12.79051 -12.64426 -12.38128 -12.27861 -12.11203 -11.88408 -11.82571 -11.65185 -11.51729 -11.49876 -11.37092 -11.26574 -11.10018 -11.05983 -10.95219 -10.76028 -10.42697 -10.19674 -9.86581 -9.45148 -8.77586 -8.56621 -8.46097 -7.98298 -7.89748 -6.39586 -3.80633 2.52170 2.64784 3.21363 3.27231 3.31308 3.62344 3.90452 3.95213 4.17334 4.23966 4.45301 4.46444 4.58451 4.67112 4.76834 4.85618 4.88029 4.97105 5.06733 5.13703 5.14399 5.19675 5.24311 5.28350 5.28637 5.32785 5.35361 5.49843 5.54642 5.59118 5.64448 5.69301 5.73632 5.79525 5.84926 5.88382 5.91044 5.94269 5.99930 6.05655 6.13904 6.29497 6.49808 6.63177 6.76652 7.19498 7.31691 7.39976 7.56778 8.07611 8.08888 8.63335 9.19600 9.56129 10.07646 10.77986 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.019101 B = 0.001974 C = 0.001837 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1465.542389 B =14182.010214 C =15237.424674 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 0.075 3.925 3 C -0.190 4.190 4 N -0.518 5.518 5 C 0.012 3.988 6 C 0.041 3.959 7 C 0.528 3.472 8 O -0.519 6.519 9 N -0.620 5.620 10 C 0.103 3.897 11 C -0.123 4.123 12 C 0.069 3.931 13 H 0.055 0.945 14 N -0.507 5.507 15 C 0.025 3.975 16 C 0.042 3.958 17 C 0.444 3.556 18 O -0.578 6.578 19 N -0.563 5.563 20 C -0.300 4.300 21 H 0.103 0.897 22 C 0.022 3.978 23 N -0.901 5.901 24 Si 0.931 3.069 25 H -0.274 1.274 26 H -0.285 1.285 27 H -0.274 1.274 28 C 0.114 3.886 29 H 0.057 0.943 30 H 0.059 0.941 31 H 0.065 0.935 32 H 0.083 0.917 33 H 0.060 0.940 34 H 0.055 0.945 35 H 0.062 0.938 36 H 0.023 0.977 37 H 0.071 0.929 38 H 0.088 0.912 39 H 0.101 0.899 40 H 0.064 0.936 41 H 0.068 0.932 42 H 0.069 0.931 43 H 0.091 0.909 44 H 0.081 0.919 45 H 0.062 0.938 46 H 0.096 0.904 47 H 0.014 0.986 48 H 0.089 0.911 49 H 0.049 0.951 50 H 0.392 0.608 51 H 0.272 0.728 52 H 0.082 0.918 53 H 0.078 0.922 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.369 15.912 -21.130 28.061 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 -0.033 4.033 3 C -0.248 4.248 4 N -0.242 5.242 5 C -0.136 4.136 6 C -0.090 4.090 7 C 0.316 3.684 8 O -0.394 6.394 9 N -0.357 5.357 10 C -0.021 4.021 11 C -0.161 4.161 12 C -0.041 4.041 13 H 0.073 0.927 14 N -0.231 5.231 15 C -0.123 4.123 16 C -0.089 4.089 17 C 0.230 3.770 18 O -0.463 6.463 19 N -0.200 5.200 20 C -0.429 4.429 21 H 0.121 0.879 22 C -0.179 4.179 23 N -0.542 5.542 24 Si 0.758 3.242 25 H -0.199 1.199 26 H -0.210 1.210 27 H -0.200 1.200 28 C -0.008 4.008 29 H 0.076 0.924 30 H 0.078 0.922 31 H 0.084 0.916 32 H 0.101 0.899 33 H 0.079 0.921 34 H 0.074 0.926 35 H 0.081 0.919 36 H 0.042 0.958 37 H 0.090 0.910 38 H 0.106 0.894 39 H 0.119 0.881 40 H 0.082 0.918 41 H 0.086 0.914 42 H 0.087 0.913 43 H 0.110 0.890 44 H 0.099 0.901 45 H 0.081 0.919 46 H 0.114 0.886 47 H 0.033 0.967 48 H 0.107 0.893 49 H 0.067 0.933 50 H 0.225 0.775 51 H 0.082 0.918 52 H 0.101 0.899 53 H 0.097 0.903 Dipole moment (debyes) X Y Z Total from point charges -9.539 15.908 -20.131 27.374 hybrid contribution 0.395 -0.420 0.013 0.577 sum -9.144 15.488 -20.118 26.986 Atomic orbital electron populations 1.21863 0.93905 1.02743 1.01731 1.21772 0.96242 0.92236 0.93068 1.22518 1.01354 0.98280 1.02688 1.61911 1.08125 1.51466 1.02682 1.22646 1.01176 0.96415 0.93344 1.21933 0.90039 0.98429 0.98574 1.20154 0.80372 0.82249 0.85631 1.90703 1.50989 1.51387 1.46328 1.48455 1.05349 1.48503 1.33368 1.22052 0.86531 0.98639 0.94880 1.22690 0.95794 0.97239 1.00356 1.22788 0.92262 0.96583 0.92455 0.92722 1.61598 1.01965 1.36712 1.22852 1.22511 0.90316 0.99797 0.99666 1.21918 0.99745 0.91810 0.95444 1.19674 0.87638 0.83936 0.85801 1.90488 1.33034 1.46736 1.76002 1.41864 1.30606 1.26251 1.21237 1.19639 1.12250 1.12314 0.98707 0.87950 1.25267 0.97153 0.95890 0.99639 1.69605 1.28878 1.17176 1.38559 0.85918 0.79654 0.77746 0.80886 1.19893 1.21001 1.19950 1.22241 0.92997 0.94325 0.91263 0.92353 0.92191 0.91614 0.89919 0.92080 0.92618 0.91876 0.95811 0.91028 0.89363 0.88096 0.91818 0.91410 0.91278 0.89029 0.90054 0.91899 0.88555 0.96723 0.89302 0.93326 0.77463 0.91805 0.89935 0.90334 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 -0.14 -0.94 9.00 37.15 0.33 -0.60 16 2 C 0.08 0.53 2.96 -67.72 -0.20 0.33 16 3 C -0.19 -1.09 8.50 37.16 0.32 -0.78 16 4 N -0.52 -4.98 4.49 -236.34 -1.06 -6.04 16 5 C 0.01 0.12 8.40 60.07 0.50 0.62 16 6 C 0.04 0.36 4.08 -4.98 -0.02 0.34 16 7 C 0.53 6.55 7.57 -10.99 -0.08 6.47 16 8 O -0.52 -8.55 14.57 5.55 0.08 -8.46 16 9 N -0.62 -7.01 3.33 -170.53 -0.57 -7.58 16 10 C 0.10 0.81 6.48 -3.07 -0.02 0.79 16 11 C -0.12 -1.13 5.34 -24.90 -0.13 -1.26 16 12 C 0.07 0.84 2.69 -65.57 -0.18 0.67 16 13 H 0.05 0.65 8.14 -51.93 -0.42 0.23 16 14 N -0.51 -8.03 4.40 -233.75 -1.03 -9.06 16 15 C 0.02 0.38 8.90 60.07 0.53 0.91 16 16 C 0.04 0.75 5.34 -4.98 -0.03 0.72 16 17 C 0.44 10.40 7.42 -10.98 -0.08 10.31 16 18 O -0.58 -15.29 13.96 5.54 0.08 -15.22 16 19 N -0.56 -14.31 5.29 -10.96 -0.06 -14.36 16 20 C -0.30 -8.35 9.68 -14.94 -0.14 -8.50 16 21 H 0.10 2.97 7.16 -52.49 -0.38 2.60 16 22 C 0.02 0.60 5.50 -17.47 -0.10 0.50 16 23 N -0.90 -24.71 13.05 55.50 0.72 -23.99 16 24 Si 0.93 21.17 29.55 -169.99 -5.02 16.14 16 25 H -0.27 -6.20 7.11 56.52 0.40 -5.79 16 26 H -0.28 -6.33 7.11 56.52 0.40 -5.93 16 27 H -0.27 -6.16 7.11 56.52 0.40 -5.76 16 28 C 0.11 1.51 5.46 -2.53 -0.01 1.50 16 29 H 0.06 0.38 6.34 -51.93 -0.33 0.06 16 30 H 0.06 0.30 8.14 -51.93 -0.42 -0.12 16 31 H 0.06 0.49 8.14 -51.92 -0.42 0.06 16 32 H 0.08 0.53 8.03 -51.93 -0.42 0.11 16 33 H 0.06 0.39 6.47 -51.93 -0.34 0.05 16 34 H 0.05 0.31 6.75 -51.92 -0.35 -0.04 16 35 H 0.06 0.30 8.14 -51.93 -0.42 -0.12 16 36 H 0.02 0.20 6.51 -51.93 -0.34 -0.13 16 37 H 0.07 0.64 6.13 -51.93 -0.32 0.32 16 38 H 0.09 1.11 5.88 -51.93 -0.31 0.81 16 39 H 0.10 0.71 8.00 -51.93 -0.42 0.29 16 40 H 0.06 0.47 6.94 -51.93 -0.36 0.11 16 41 H 0.07 0.41 8.14 -51.93 -0.42 -0.01 16 42 H 0.07 0.45 8.14 -51.92 -0.42 0.02 16 43 H 0.09 0.93 8.14 -51.93 -0.42 0.51 16 44 H 0.08 0.61 8.14 -51.93 -0.42 0.19 16 45 H 0.06 0.82 7.37 -51.93 -0.38 0.43 16 46 H 0.10 1.82 5.78 -51.93 -0.30 1.52 16 47 H 0.01 0.19 8.12 -51.93 -0.42 -0.23 16 48 H 0.09 1.49 6.79 -51.93 -0.35 1.13 16 49 H 0.05 0.80 8.12 -51.93 -0.42 0.38 16 50 H 0.39 9.61 7.90 -40.82 -0.32 9.29 16 51 H 0.27 7.09 8.31 -40.82 -0.34 6.75 16 52 H 0.08 1.22 8.14 -51.93 -0.42 0.80 16 53 H 0.08 1.13 7.68 -51.93 -0.40 0.73 16 LS Contribution 408.84 15.07 6.16 6.16 Total: -1.00 -33.05 408.84 -9.09 -42.14 By element: Atomic # 1 Polarization: 17.33 SS G_CDS: -9.09 Total: 8.25 kcal Atomic # 6 Polarization: 11.33 SS G_CDS: 0.69 Total: 12.02 kcal Atomic # 7 Polarization: -59.04 SS G_CDS: -1.99 Total: -61.03 kcal Atomic # 8 Polarization: -23.84 SS G_CDS: 0.16 Total: -23.68 kcal Atomic # 14 Polarization: 21.17 SS G_CDS: -5.02 Total: 16.14 kcal Total LS contribution 6.16 Total: 6.16 kcal Total: -33.05 -9.09 -42.14 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. ZINC001194284360.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 0.129 kcal (2) G-P(sol) polarization free energy of solvation -33.053 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -32.924 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.087 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.140 kcal (6) G-S(sol) free energy of system = (1) + (5) -42.011 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.78 seconds