Wall clock time and date at job start Sat Apr 11 2020 06:10:38 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 1.52996 * 1 3 3 O 1.42901 * 109.47228 * 2 1 4 4 C 1.42901 * 114.00548 * 180.02562 * 3 2 1 5 5 C 1.52994 * 109.47253 * 179.97438 * 4 3 2 6 6 H 1.08997 * 109.47554 * 305.00162 * 5 4 3 7 7 O 1.42898 * 109.47051 * 65.00300 * 5 4 3 8 8 C 1.53008 * 109.46837 * 184.99888 * 5 4 3 9 9 N 1.46899 * 109.46964 * 177.96283 * 8 5 4 10 10 C 1.48653 * 111.00215 * 294.27722 * 9 8 5 11 11 C 1.54636 * 104.63207 * 201.48616 * 10 9 8 12 12 C 1.53249 * 104.67430 * 23.69787 * 11 10 9 13 13 C 1.53613 * 111.05887 * 238.97671 * 12 11 10 14 14 C 1.54711 * 101.51161 * 262.68689 * 13 12 11 15 15 N 1.46873 * 105.51886 * 335.47835 * 14 13 12 16 16 C 1.46495 * 124.37365 * 196.85508 * 15 14 13 17 17 C 1.53006 * 109.47220 * 269.98679 * 16 15 14 18 18 C 1.50694 * 109.47584 * 179.97438 * 17 16 15 19 19 H 1.08004 * 119.99898 * 359.97438 * 18 17 16 20 20 C 1.37873 * 120.00362 * 179.97438 * 18 17 16 21 21 N 1.31511 * 120.00255 * 0.02562 * 20 18 17 22 22 Si 1.86805 * 120.00161 * 179.97438 * 20 18 17 23 23 H 1.48502 * 109.46850 * 89.99929 * 22 20 18 24 24 H 1.48498 * 109.47255 * 210.00314 * 22 20 18 25 25 H 1.48498 * 109.47006 * 330.00194 * 22 20 18 26 26 C 1.34757 * 111.25593 * 16.82023 * 15 14 13 27 27 O 1.21282 * 125.13476 * 179.01333 * 26 15 14 28 28 C 1.48799 * 111.00102 * 178.65804 * 9 8 5 29 29 H 1.08998 * 109.47448 * 60.00001 * 1 2 3 30 30 H 1.09001 * 109.47125 * 179.97438 * 1 2 3 31 31 H 1.08996 * 109.47081 * 300.00034 * 1 2 3 32 32 H 1.09006 * 109.47090 * 240.00065 * 2 1 3 33 33 H 1.08998 * 109.47448 * 119.99998 * 2 1 3 34 34 H 1.09003 * 109.46735 * 59.99746 * 4 3 2 35 35 H 1.08998 * 109.46764 * 300.00044 * 4 3 2 36 36 H 0.96706 * 114.00287 * 59.99597 * 7 5 4 37 37 H 1.08991 * 109.47062 * 57.96333 * 8 5 4 38 38 H 1.09004 * 109.46932 * 297.96196 * 8 5 4 39 39 H 1.09002 * 110.40657 * 82.69770 * 10 9 8 40 40 H 1.08996 * 110.40312 * 320.27586 * 10 9 8 41 41 H 1.09008 * 110.39780 * 264.89561 * 11 10 9 42 42 H 1.09001 * 110.39611 * 142.49550 * 11 10 9 43 43 H 1.09001 * 111.02045 * 20.74613 * 13 12 11 44 44 H 1.09004 * 111.01783 * 144.63002 * 13 12 11 45 45 H 1.08994 * 110.23665 * 216.46485 * 14 13 12 46 46 H 1.09002 * 110.30337 * 94.53055 * 14 13 12 47 47 H 1.09002 * 109.47112 * 29.97799 * 16 15 14 48 48 H 1.08997 * 109.47568 * 149.98880 * 16 15 14 49 49 H 1.09008 * 109.46636 * 299.99916 * 17 16 15 50 50 H 1.08996 * 109.47364 * 59.99346 * 17 16 15 51 51 H 0.96994 * 120.00547 * 180.02562 * 21 20 18 52 52 H 1.08997 * 110.45497 * 39.46727 * 28 9 8 53 53 H 1.09006 * 110.45638 * 276.90768 * 28 9 8 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 8 2.0063 1.3473 0.0000 4 6 3.4309 1.4602 -0.0006 5 6 3.8253 2.9384 -0.0012 6 1 3.3491 3.4413 -0.8429 7 8 3.3985 3.5458 1.2199 8 6 5.3452 3.0606 -0.1275 9 7 5.7199 4.4802 -0.1771 10 6 5.2026 5.1248 -1.4127 11 6 6.0958 6.3722 -1.6058 12 6 7.3926 6.0404 -0.8596 13 6 7.6727 7.0703 0.2452 14 6 8.6673 8.0202 -0.4632 15 7 9.2977 7.2144 -1.5169 16 6 10.5386 7.5780 -2.2055 17 6 10.2087 8.4139 -3.4438 18 6 11.4851 8.7885 -4.1518 19 1 12.4367 8.4633 -3.7577 20 6 11.4384 9.5464 -5.3026 21 7 10.2798 9.9428 -5.7823 22 14 13.0208 10.0113 -6.1798 23 1 13.3586 8.9656 -7.1786 24 1 12.8404 11.3143 -6.8688 25 1 14.1213 10.1235 -5.1891 26 6 8.5876 6.0970 -1.7681 27 8 8.8708 5.2627 -2.6016 28 6 7.1966 4.6391 -0.2678 29 1 -0.3634 0.5138 -0.8899 30 1 -0.3633 -1.0277 -0.0005 31 1 -0.3633 0.5138 0.8899 32 1 1.8933 -0.5138 -0.8900 33 1 1.8933 -0.5138 0.8899 34 1 3.8332 0.9768 -0.8908 35 1 3.8340 0.9766 0.8892 36 1 3.7836 3.1480 2.0127 37 1 5.6748 2.5657 -1.0409 38 1 5.8204 2.5893 0.7329 39 1 4.1616 5.4197 -1.2803 40 1 5.3022 4.4507 -2.2633 41 1 5.6207 7.2510 -1.1697 42 1 6.2978 6.5346 -2.6646 43 1 6.7618 7.5981 0.5278 44 1 8.1337 6.5976 1.1125 45 1 9.4194 8.3730 0.2425 46 1 8.1364 8.8654 -0.9014 47 1 11.1705 8.1585 -1.5332 48 1 11.0650 6.6728 -2.5079 49 1 9.5767 7.8335 -4.1161 50 1 9.6822 9.3191 -3.1415 51 1 10.2469 10.4757 -6.5921 52 1 7.6212 3.8836 -0.9287 53 1 7.6479 4.5773 0.7225 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 ZINC001274564470.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 06:10:38 Heat of formation + Delta-G solvation = -130.017734 kcal Electronic energy + Delta-G solvation = -30237.619379 eV Core-core repulsion = 26109.019128 eV Total energy + Delta-G solvation = -4128.600251 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.76 seconds Orbital eigenvalues (eV) -40.94173 -39.15477 -38.02180 -36.67232 -35.96752 -33.99294 -32.71427 -31.97980 -30.92587 -29.47635 -29.08934 -27.92676 -25.67719 -24.82360 -23.28047 -23.12262 -22.44648 -21.81998 -20.98757 -20.18159 -18.58828 -17.46485 -16.95922 -16.62756 -16.45632 -16.01720 -15.81632 -15.61477 -15.49300 -15.14750 -14.71949 -14.49988 -14.20795 -14.08289 -13.67874 -13.52422 -13.33209 -13.03356 -12.84798 -12.69871 -12.67538 -12.41160 -12.33707 -12.05586 -11.87021 -11.77518 -11.72574 -11.50052 -11.34818 -11.29425 -11.09919 -10.95652 -10.82810 -10.69509 -10.59469 -10.19677 -10.02613 -10.00635 -9.85613 -9.35695 -9.10599 -8.64864 -8.38120 -8.01931 -6.03067 -4.06745 2.94646 3.05571 3.31239 3.36815 3.39346 3.51320 3.84823 4.18693 4.34064 4.39483 4.44623 4.45459 4.59584 4.62602 4.68484 4.74432 4.83532 4.93310 4.93862 4.96655 5.00896 5.10597 5.20702 5.25613 5.31285 5.33074 5.37387 5.47224 5.48963 5.57621 5.67594 5.68871 5.71728 5.77838 5.81250 5.89613 5.94741 6.02138 6.08116 6.13641 6.44697 6.59657 6.69944 6.79900 6.82560 7.00527 7.47540 7.50173 7.65634 7.84100 7.96477 8.32638 8.65636 8.99952 9.57397 11.08320 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.024115 B = 0.001856 C = 0.001797 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1160.833483 B =15085.491476 C =15580.149600 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C 0.056 3.944 3 O -0.378 6.378 4 C 0.030 3.970 5 C 0.117 3.883 6 H 0.106 0.894 7 O -0.538 6.538 8 C 0.013 3.987 9 N -0.494 5.494 10 C 0.032 3.968 11 C -0.100 4.100 12 C -0.099 4.099 13 C -0.113 4.113 14 C 0.099 3.901 15 N -0.609 5.609 16 C 0.128 3.872 17 C 0.012 3.988 18 C -0.523 4.523 19 H 0.057 0.943 20 C 0.059 3.941 21 N -0.892 5.892 22 Si 0.895 3.105 23 H -0.280 1.280 24 H -0.286 1.286 25 H -0.273 1.273 26 C 0.524 3.476 27 O -0.532 6.532 28 C 0.054 3.946 29 H 0.063 0.937 30 H 0.070 0.930 31 H 0.064 0.936 32 H 0.047 0.953 33 H 0.047 0.953 34 H 0.057 0.943 35 H 0.052 0.948 36 H 0.370 0.630 37 H 0.048 0.952 38 H 0.081 0.919 39 H 0.087 0.913 40 H 0.047 0.953 41 H 0.084 0.916 42 H 0.077 0.923 43 H 0.092 0.908 44 H 0.080 0.920 45 H 0.076 0.924 46 H 0.071 0.929 47 H 0.066 0.934 48 H 0.069 0.931 49 H 0.020 0.980 50 H 0.017 0.983 51 H 0.261 0.739 52 H 0.057 0.943 53 H 0.086 0.914 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -16.020 -16.384 17.294 28.708 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 -0.209 4.209 2 C -0.021 4.021 3 O -0.297 6.297 4 C -0.047 4.047 5 C 0.057 3.943 6 H 0.123 0.877 7 O -0.342 6.342 8 C -0.116 4.116 9 N -0.218 5.218 10 C -0.096 4.096 11 C -0.138 4.138 12 C -0.103 4.103 13 C -0.151 4.151 14 C -0.025 4.025 15 N -0.342 5.342 16 C 0.008 3.992 17 C -0.026 4.026 18 C -0.562 4.562 19 H 0.075 0.925 20 C -0.142 4.142 21 N -0.531 5.531 22 Si 0.723 3.277 23 H -0.206 1.206 24 H -0.212 1.212 25 H -0.198 1.198 26 C 0.310 3.690 27 O -0.409 6.409 28 C -0.074 4.074 29 H 0.082 0.918 30 H 0.089 0.911 31 H 0.083 0.917 32 H 0.065 0.935 33 H 0.065 0.935 34 H 0.075 0.925 35 H 0.070 0.930 36 H 0.216 0.784 37 H 0.067 0.933 38 H 0.099 0.901 39 H 0.105 0.895 40 H 0.065 0.935 41 H 0.103 0.897 42 H 0.095 0.905 43 H 0.110 0.890 44 H 0.099 0.901 45 H 0.094 0.906 46 H 0.090 0.910 47 H 0.084 0.916 48 H 0.088 0.912 49 H 0.038 0.962 50 H 0.036 0.964 51 H 0.071 0.929 52 H 0.076 0.924 53 H 0.105 0.895 Dipole moment (debyes) X Y Z Total from point charges -16.536 -15.909 16.747 28.408 hybrid contribution 1.763 -0.703 -1.067 2.177 sum -14.773 -16.612 15.680 27.204 Atomic orbital electron populations 1.21736 0.93590 1.02209 1.03331 1.22486 0.95815 0.83867 0.99939 1.87966 1.20235 1.26170 1.95359 1.23242 0.82376 0.98254 1.00857 1.21834 0.92489 0.90581 0.89404 0.87652 1.86662 1.71654 1.61113 1.14733 1.22899 0.95981 0.90713 1.02013 1.65455 1.07943 1.11955 1.36426 1.23241 0.99823 0.95625 0.90879 1.22155 0.92378 0.98332 1.00950 1.21363 0.95600 0.96905 0.96454 1.22658 0.99980 0.95973 0.96485 1.22135 0.96041 0.94490 0.89785 1.48625 1.25671 1.21744 1.38143 1.21812 0.82359 0.99895 0.95167 1.19406 0.97451 0.94526 0.91239 1.21087 0.92647 1.33072 1.09387 0.92487 1.25000 0.96225 0.95869 0.97149 1.69968 1.24143 1.36881 1.22122 0.86549 0.83522 0.77835 0.79823 1.20601 1.21185 1.19806 1.20204 0.83856 0.81566 0.83388 1.90687 1.72276 1.42405 1.35499 1.22961 0.88813 0.94895 1.00747 0.91767 0.91128 0.91729 0.93489 0.93510 0.92514 0.92954 0.78388 0.93337 0.90107 0.89468 0.93481 0.89746 0.90470 0.88988 0.90128 0.90593 0.91024 0.91582 0.91228 0.96154 0.96420 0.92925 0.92445 0.89543 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 -0.89 10.28 37.16 0.38 -0.51 16 2 C 0.06 0.38 6.66 37.16 0.25 0.63 16 3 O -0.38 -3.60 10.31 -40.08 -0.41 -4.01 16 4 C 0.03 0.23 5.57 37.15 0.21 0.43 16 5 C 0.12 1.01 3.20 -26.73 -0.09 0.92 16 6 H 0.11 1.05 7.02 -51.93 -0.36 0.69 16 7 O -0.54 -5.24 13.21 -40.08 -0.53 -5.77 16 8 C 0.01 0.11 4.47 -3.82 -0.02 0.10 16 9 N -0.49 -5.27 5.31 -230.16 -1.22 -6.49 16 10 C 0.03 0.37 5.59 -1.99 -0.01 0.35 16 11 C -0.10 -1.28 6.32 -25.74 -0.16 -1.45 16 12 C -0.10 -1.34 0.83 -155.25 -0.13 -1.47 16 13 C -0.11 -1.24 6.24 -25.51 -0.16 -1.40 16 14 C 0.10 1.34 7.37 -2.94 -0.02 1.32 16 15 N -0.61 -11.09 2.94 -172.53 -0.51 -11.60 16 16 C 0.13 2.72 5.88 -4.04 -0.02 2.70 16 17 C 0.01 0.31 5.30 -27.88 -0.15 0.16 16 18 C -0.52 -14.91 9.11 -34.44 -0.31 -15.23 16 19 H 0.06 1.56 7.74 -52.48 -0.41 1.15 16 20 C 0.06 1.72 5.46 -17.82 -0.10 1.62 16 21 N -0.89 -27.11 13.29 55.43 0.74 -26.37 16 22 Si 0.90 21.78 29.54 -169.99 -5.02 16.75 16 23 H -0.28 -6.77 7.11 56.52 0.40 -6.37 16 24 H -0.29 -6.86 7.11 56.52 0.40 -6.46 16 25 H -0.27 -6.45 7.11 56.52 0.40 -6.04 16 26 C 0.52 9.71 6.65 -11.23 -0.07 9.64 16 27 O -0.53 -12.04 17.09 5.56 0.09 -11.95 16 28 C 0.05 0.64 5.65 -2.58 -0.01 0.63 16 29 H 0.06 0.41 8.14 -51.93 -0.42 -0.01 16 30 H 0.07 0.29 8.14 -51.93 -0.42 -0.14 16 31 H 0.06 0.40 8.14 -51.93 -0.42 -0.02 16 32 H 0.05 0.28 8.14 -51.93 -0.42 -0.14 16 33 H 0.05 0.27 8.14 -51.93 -0.42 -0.16 16 34 H 0.06 0.38 8.14 -51.93 -0.42 -0.05 16 35 H 0.05 0.31 8.14 -51.93 -0.42 -0.11 16 36 H 0.37 2.31 9.05 45.56 0.41 2.72 16 37 H 0.05 0.43 7.97 -51.93 -0.41 0.02 16 38 H 0.08 0.57 8.14 -51.93 -0.42 0.15 16 39 H 0.09 0.93 7.69 -51.93 -0.40 0.53 16 40 H 0.05 0.56 7.88 -51.93 -0.41 0.15 16 41 H 0.08 0.95 7.32 -51.92 -0.38 0.57 16 42 H 0.08 1.17 7.76 -51.93 -0.40 0.76 16 43 H 0.09 0.87 7.43 -51.93 -0.39 0.48 16 44 H 0.08 0.77 7.51 -51.93 -0.39 0.38 16 45 H 0.08 0.89 8.14 -51.93 -0.42 0.47 16 46 H 0.07 0.98 8.14 -51.93 -0.42 0.56 16 47 H 0.07 1.28 8.14 -51.93 -0.42 0.85 16 48 H 0.07 1.56 7.95 -51.93 -0.41 1.15 16 49 H 0.02 0.60 8.14 -51.92 -0.42 0.18 16 50 H 0.02 0.48 8.14 -51.93 -0.42 0.06 16 51 H 0.26 7.47 8.31 -40.82 -0.34 7.13 16 52 H 0.06 0.79 7.36 -51.93 -0.38 0.41 16 53 H 0.09 0.90 7.46 -51.93 -0.39 0.51 16 LS Contribution 421.86 15.07 6.36 6.36 Total: -1.00 -35.35 421.86 -9.88 -45.23 By element: Atomic # 1 Polarization: 8.36 SS G_CDS: -8.95 Total: -0.59 kcal Atomic # 6 Polarization: -1.14 SS G_CDS: -0.42 Total: -1.56 kcal Atomic # 7 Polarization: -43.47 SS G_CDS: -0.99 Total: -44.46 kcal Atomic # 8 Polarization: -20.88 SS G_CDS: -0.85 Total: -21.72 kcal Atomic # 14 Polarization: 21.78 SS G_CDS: -5.02 Total: 16.75 kcal Total LS contribution 6.36 Total: 6.36 kcal Total: -35.35 -9.88 -45.23 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. ZINC001274564470.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 -84.789 kcal (2) G-P(sol) polarization free energy of solvation -35.350 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -120.140 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.878 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -45.228 kcal (6) G-S(sol) free energy of system = (1) + (5) -130.018 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.77 seconds