Wall clock time and date at job start Sat Apr 11 2020 06:11:57 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 O 1.42906 * 1 3 3 C 1.42890 * 114.00176 * 2 1 4 4 H 1.09001 * 109.57592 * 29.84719 * 3 2 1 5 5 C 1.53104 * 109.45622 * 269.63419 * 3 2 1 6 6 O 1.42905 * 109.48994 * 297.61890 * 5 3 2 7 7 C 1.42894 * 114.09322 * 298.88645 * 6 5 3 8 8 C 1.53093 * 109.41838 * 61.15611 * 7 6 5 9 9 C 1.53171 * 109.16301 * 302.38800 * 8 7 6 10 10 H 1.08999 * 109.54917 * 297.02599 * 9 8 7 11 11 C 1.53000 * 109.54380 * 176.84426 * 9 8 7 12 12 C 1.50705 * 109.46902 * 65.18109 * 11 9 8 13 13 O 1.21281 * 120.00128 * 359.97438 * 12 11 9 14 14 N 1.34770 * 119.99886 * 179.97438 * 12 11 9 15 15 C 1.46935 * 120.62923 * 179.97438 * 14 12 11 16 16 C 1.53196 * 108.77520 * 233.62950 * 15 14 12 17 17 C 1.53038 * 109.31230 * 305.36913 * 16 15 14 18 18 C 1.53004 * 109.45652 * 181.38713 * 17 16 15 19 19 N 1.46504 * 109.46932 * 174.97212 * 18 17 16 20 20 C 1.36934 * 119.99567 * 179.97438 * 19 18 17 21 21 H 1.08001 * 120.00537 * 359.97438 * 20 19 18 22 22 C 1.38811 * 119.99798 * 179.97438 * 20 19 18 23 23 N 1.31624 * 120.00134 * 359.97438 * 22 20 19 24 24 Si 1.86803 * 120.00229 * 179.97438 * 22 20 19 25 25 H 1.48494 * 109.47228 * 179.97438 * 24 22 20 26 26 H 1.48501 * 109.46793 * 299.99987 * 24 22 20 27 27 H 1.48500 * 109.47000 * 60.00079 * 24 22 20 28 28 C 1.53035 * 109.52975 * 61.37038 * 17 16 15 29 29 C 1.46928 * 120.63289 * 0.02562 * 14 12 11 30 30 H 1.08996 * 109.46516 * 299.99719 * 1 2 3 31 31 H 1.08995 * 109.47098 * 59.99855 * 1 2 3 32 32 H 1.09002 * 109.47039 * 180.02562 * 1 2 3 33 33 H 1.08997 * 109.40898 * 177.63289 * 5 3 2 34 34 H 1.09007 * 109.49079 * 57.64742 * 5 3 2 35 35 H 1.09003 * 109.48403 * 301.17369 * 7 6 5 36 36 H 1.09004 * 109.48338 * 181.14172 * 7 6 5 37 37 H 1.09007 * 109.52392 * 182.48432 * 8 7 6 38 38 H 1.08996 * 109.52328 * 62.30001 * 8 7 6 39 39 H 1.08999 * 109.47272 * 305.18171 * 11 9 8 40 40 H 1.09005 * 109.47090 * 185.17709 * 11 9 8 41 41 H 1.08999 * 109.58194 * 113.84720 * 15 14 12 42 42 H 1.08999 * 109.70396 * 353.49024 * 15 14 12 43 43 H 1.08994 * 109.49611 * 185.41387 * 16 15 14 44 44 H 1.09003 * 109.51889 * 65.33808 * 16 15 14 45 45 H 1.09002 * 109.46072 * 301.35586 * 17 16 15 46 46 H 1.08998 * 109.47524 * 54.96857 * 18 17 16 47 47 H 1.08997 * 109.47093 * 294.96757 * 18 17 16 48 48 H 0.97000 * 119.99825 * 359.97438 * 19 18 17 49 49 H 0.97005 * 119.99717 * 0.02562 * 23 22 20 50 50 H 1.08999 * 109.49459 * 58.58227 * 28 17 16 51 51 H 1.09002 * 109.49678 * 178.67098 * 28 17 16 52 52 H 1.08999 * 109.58611 * 246.15113 * 29 14 12 53 53 H 1.09000 * 109.58374 * 6.43922 * 29 14 12 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 8 1.4291 0.0000 0.0000 3 6 2.0103 1.3053 0.0000 4 1 1.3451 2.0013 0.5111 5 6 2.2261 1.7675 -1.4436 6 8 3.1455 0.8874 -2.0935 7 6 4.4398 0.8462 -1.4895 8 6 4.3134 0.3450 -0.0485 9 6 3.3608 1.2644 0.7218 10 1 3.7807 2.2693 0.7670 11 6 3.1664 0.7267 2.1409 12 6 4.4731 0.7978 2.8884 13 8 5.4625 1.2351 2.3399 14 7 4.5422 0.3755 4.1664 15 6 5.8091 0.4381 4.9080 16 6 6.1158 -0.9504 5.4780 17 6 4.9240 -1.4309 6.3091 18 6 5.2406 -2.8026 6.9085 19 7 4.1513 -3.2092 7.7998 20 6 4.2140 -4.4107 8.4536 21 1 5.0662 -5.0589 8.3119 22 6 3.1822 -4.7958 9.2986 23 7 2.1437 -4.0057 9.4717 24 14 3.2673 -6.4352 10.1900 25 1 2.0516 -6.6083 11.0250 26 1 3.3465 -7.5355 9.1959 27 1 4.4718 -6.4646 11.0581 28 6 3.6868 -1.5385 5.4148 29 6 3.3524 -0.1572 4.8442 30 1 -0.3632 0.5138 0.8900 31 1 -0.3633 0.5138 -0.8899 32 1 -0.3633 -1.0277 0.0005 33 1 2.6304 2.7797 -1.4432 34 1 1.2746 1.7562 -1.9752 35 1 4.8731 1.8464 -1.4898 36 1 5.0832 0.1712 -2.0540 37 1 5.2938 0.3548 0.4279 38 1 3.9180 -0.6707 -0.0495 39 1 2.8305 -0.3092 2.0942 40 1 2.4188 1.3281 2.6582 41 1 5.7202 1.1562 5.7232 42 1 6.6126 0.7436 4.2378 43 1 7.0021 -0.8964 6.1102 44 1 6.2943 -1.6486 4.6602 45 1 4.7308 -0.7196 7.1121 46 1 6.1708 -2.7462 7.4738 47 1 5.3462 -3.5337 6.1070 48 1 3.3857 -2.6272 7.9268 49 1 2.0994 -3.1546 9.0086 50 1 3.8880 -2.2308 4.5974 51 1 2.8441 -1.9032 6.0020 52 1 3.0629 0.5123 5.6542 53 1 2.5331 -0.2431 4.1305 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 ZINC001205445154.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 06:11:57 Heat of formation + Delta-G solvation = -126.941447 kcal Electronic energy + Delta-G solvation = -31086.688028 eV Core-core repulsion = 26958.221176 eV Total energy + Delta-G solvation = -4128.466853 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.81 seconds Orbital eigenvalues (eV) -40.74714 -39.76498 -37.84577 -37.25812 -35.17115 -34.44194 -33.11437 -31.34209 -30.80052 -30.23314 -29.07565 -26.89427 -26.47374 -24.28264 -23.66380 -23.32862 -23.17309 -21.82311 -20.49643 -20.06638 -18.92544 -17.51453 -17.18928 -16.90291 -16.68713 -16.19663 -15.87745 -15.73598 -15.35443 -15.16359 -14.89507 -14.32711 -14.24980 -14.17985 -13.99125 -13.78691 -13.58696 -13.15743 -13.03896 -12.91702 -12.82135 -12.60874 -12.44680 -12.27578 -11.90224 -11.81355 -11.63889 -11.29106 -11.21516 -11.01333 -10.76966 -10.75509 -10.61599 -10.50942 -10.34632 -10.32371 -10.26506 -9.96742 -9.77470 -9.36469 -9.18024 -8.88855 -8.66767 -7.00777 -6.11721 -3.10806 2.53351 2.89876 3.33550 3.51125 3.54555 3.71913 3.72502 4.17805 4.35444 4.44472 4.57559 4.65232 4.69674 4.79034 4.89068 4.95084 4.98105 5.00983 5.04508 5.08412 5.11067 5.14620 5.15768 5.24629 5.28495 5.38824 5.40070 5.42035 5.49875 5.51266 5.61886 5.67125 5.72749 5.75583 5.84692 5.86997 5.93881 5.95623 6.09284 6.15626 6.18361 6.34047 6.37524 6.53271 6.70737 6.76510 6.82177 7.02860 7.32915 7.80284 8.08395 8.74797 9.22366 10.08602 10.23863 11.36980 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.015896 B = 0.002274 C = 0.002099 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1761.018004 B =12311.638316 C =13339.021878 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.028 3.972 2 O -0.368 6.368 3 C 0.057 3.943 4 H 0.070 0.930 5 C 0.043 3.957 6 O -0.374 6.374 7 C 0.062 3.938 8 C -0.151 4.151 9 C -0.067 4.067 10 H 0.089 0.911 11 C -0.132 4.132 12 C 0.516 3.484 13 O -0.547 6.547 14 N -0.608 5.608 15 C 0.113 3.887 16 C -0.125 4.125 17 C -0.095 4.095 18 C 0.164 3.836 19 N -0.743 5.743 20 C -0.330 4.330 21 H 0.063 0.937 22 C -0.046 4.046 23 N -0.945 5.945 24 Si 1.080 2.920 25 H -0.285 1.285 26 H -0.295 1.295 27 H -0.295 1.295 28 C -0.125 4.125 29 C 0.105 3.895 30 H 0.041 0.959 31 H 0.039 0.961 32 H 0.087 0.913 33 H 0.058 0.942 34 H 0.093 0.907 35 H 0.048 0.952 36 H 0.093 0.907 37 H 0.093 0.907 38 H 0.074 0.926 39 H 0.104 0.896 40 H 0.090 0.910 41 H 0.065 0.935 42 H 0.090 0.910 43 H 0.075 0.925 44 H 0.066 0.934 45 H 0.070 0.930 46 H 0.019 0.981 47 H 0.019 0.981 48 H 0.366 0.634 49 H 0.254 0.746 50 H 0.065 0.935 51 H 0.084 0.916 52 H 0.070 0.930 53 H 0.083 0.917 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -0.304 15.320 -20.560 25.642 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 -0.068 4.068 2 O -0.286 6.286 3 C -0.002 4.002 4 H 0.088 0.912 5 C -0.035 4.035 6 O -0.293 6.293 7 C -0.015 4.015 8 C -0.189 4.189 9 C -0.086 4.086 10 H 0.107 0.893 11 C -0.172 4.172 12 C 0.305 3.695 13 O -0.426 6.426 14 N -0.342 5.342 15 C -0.010 4.010 16 C -0.164 4.164 17 C -0.114 4.114 18 C 0.036 3.964 19 N -0.389 5.389 20 C -0.461 4.461 21 H 0.081 0.919 22 C -0.244 4.244 23 N -0.591 5.591 24 Si 0.910 3.090 25 H -0.210 1.210 26 H -0.223 1.223 27 H -0.223 1.223 28 C -0.163 4.163 29 C -0.017 4.017 30 H 0.059 0.941 31 H 0.058 0.942 32 H 0.106 0.894 33 H 0.076 0.924 34 H 0.111 0.889 35 H 0.067 0.933 36 H 0.111 0.889 37 H 0.111 0.889 38 H 0.093 0.907 39 H 0.122 0.878 40 H 0.108 0.892 41 H 0.083 0.917 42 H 0.108 0.892 43 H 0.093 0.907 44 H 0.085 0.915 45 H 0.088 0.912 46 H 0.037 0.963 47 H 0.037 0.963 48 H 0.200 0.800 49 H 0.065 0.935 50 H 0.084 0.916 51 H 0.102 0.898 52 H 0.088 0.912 53 H 0.102 0.898 Dipole moment (debyes) X Y Z Total from point charges -0.320 14.106 -19.968 24.450 hybrid contribution 0.349 1.461 -0.584 1.612 sum 0.030 15.568 -20.552 25.782 Atomic orbital electron populations 1.22825 0.81267 1.03054 0.99679 1.88003 1.19249 1.26467 1.94899 1.22876 0.95148 0.85965 0.96187 0.91218 1.23018 0.94286 0.93070 0.93104 1.87948 1.22326 1.65382 1.53604 1.22606 0.84504 1.00593 0.93771 1.22286 1.01346 0.99875 0.95365 1.21046 0.93742 1.00863 0.92927 0.89297 1.21678 0.95611 1.04641 0.95275 1.20646 0.90748 0.76897 0.81178 1.90627 1.38016 1.46777 1.67173 1.48188 1.11252 1.62402 1.12318 1.21602 0.86183 0.97411 0.95772 1.21900 0.98622 0.96074 0.99810 1.21320 0.94270 0.98758 0.97015 1.20605 0.91726 0.91703 0.92357 1.42379 1.21337 1.21571 1.53601 1.20040 1.06367 0.96150 1.23524 0.91859 1.25767 0.93575 1.05634 0.99377 1.70900 1.30564 1.11872 1.45759 0.83244 0.75529 0.74251 0.75932 1.21024 1.22272 1.22294 1.21902 0.99418 0.95322 0.99643 1.21865 0.86831 0.95816 0.97231 0.94051 0.94238 0.89426 0.92404 0.88929 0.93350 0.88872 0.88896 0.90710 0.87828 0.89215 0.91680 0.89188 0.90669 0.91547 0.91158 0.96300 0.96323 0.80042 0.93530 0.91611 0.89794 0.91213 0.89827 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 0.03 0.20 10.82 101.05 1.09 1.29 16 2 O -0.37 -3.59 9.08 -42.62 -0.39 -3.98 16 3 C 0.06 0.47 2.44 -26.58 -0.06 0.40 16 4 H 0.07 0.44 7.79 -51.93 -0.40 0.04 16 5 C 0.04 0.35 6.48 37.21 0.24 0.59 16 6 O -0.37 -4.07 10.70 -42.62 -0.46 -4.52 16 7 C 0.06 0.60 6.84 37.21 0.25 0.85 16 8 C -0.15 -1.60 4.97 -26.59 -0.13 -1.73 16 9 C -0.07 -0.63 1.75 -90.44 -0.16 -0.79 16 10 H 0.09 0.84 7.96 -51.93 -0.41 0.43 16 11 C -0.13 -1.26 3.28 -27.88 -0.09 -1.36 16 12 C 0.52 6.30 7.44 -10.99 -0.08 6.22 16 13 O -0.55 -8.02 13.40 5.56 0.07 -7.95 16 14 N -0.61 -7.25 2.97 -172.79 -0.51 -7.77 16 15 C 0.11 1.35 6.43 -3.70 -0.02 1.33 16 16 C -0.13 -1.62 5.36 -26.61 -0.14 -1.76 16 17 C -0.09 -1.45 2.19 -90.58 -0.20 -1.64 16 18 C 0.16 3.27 5.65 -4.04 -0.02 3.25 16 19 N -0.74 -18.48 5.32 -59.91 -0.32 -18.80 16 20 C -0.33 -9.34 9.99 -15.06 -0.15 -9.49 16 21 H 0.06 1.78 7.83 -52.49 -0.41 1.37 16 22 C -0.05 -1.34 5.50 -17.43 -0.10 -1.44 16 23 N -0.95 -28.97 13.70 55.49 0.76 -28.21 16 24 Si 1.08 25.92 29.92 -169.99 -5.09 20.84 16 25 H -0.28 -6.92 7.11 56.52 0.40 -6.52 16 26 H -0.30 -6.79 7.11 56.52 0.40 -6.38 16 27 H -0.30 -6.79 7.11 56.52 0.40 -6.39 16 28 C -0.12 -1.77 5.24 -26.64 -0.14 -1.91 16 29 C 0.11 1.17 6.34 -3.73 -0.02 1.15 16 30 H 0.04 0.24 8.09 -51.93 -0.42 -0.18 16 31 H 0.04 0.23 7.86 -51.93 -0.41 -0.18 16 32 H 0.09 0.58 8.14 -51.93 -0.42 0.15 16 33 H 0.06 0.39 8.14 -51.93 -0.42 -0.03 16 34 H 0.09 0.64 7.86 -51.93 -0.41 0.23 16 35 H 0.05 0.42 8.14 -51.93 -0.42 0.00 16 36 H 0.09 0.81 8.14 -51.93 -0.42 0.39 16 37 H 0.09 1.12 6.05 -51.92 -0.31 0.81 16 38 H 0.07 0.88 7.84 -51.93 -0.41 0.48 16 39 H 0.10 1.04 7.33 -51.93 -0.38 0.66 16 40 H 0.09 0.70 7.94 -51.93 -0.41 0.29 16 41 H 0.06 0.73 8.14 -51.93 -0.42 0.30 16 42 H 0.09 1.13 7.01 -51.93 -0.36 0.76 16 43 H 0.07 0.91 8.14 -51.93 -0.42 0.49 16 44 H 0.07 0.90 8.14 -51.93 -0.42 0.48 16 45 H 0.07 1.10 8.14 -51.93 -0.42 0.68 16 46 H 0.02 0.39 8.14 -51.93 -0.42 -0.03 16 47 H 0.02 0.39 8.14 -51.93 -0.42 -0.03 16 48 H 0.37 9.14 5.68 -40.82 -0.23 8.91 16 49 H 0.25 7.59 6.77 -40.82 -0.28 7.31 16 50 H 0.07 0.98 8.14 -51.93 -0.42 0.55 16 51 H 0.08 1.35 7.15 -51.93 -0.37 0.98 16 52 H 0.07 0.74 8.14 -51.93 -0.42 0.32 16 53 H 0.08 0.78 5.93 -51.93 -0.31 0.48 16 LS Contribution 403.90 15.07 6.09 6.09 Total: -1.00 -34.01 403.90 -8.97 -42.99 By element: Atomic # 1 Polarization: 15.75 SS G_CDS: -9.40 Total: 6.35 kcal Atomic # 6 Polarization: -5.31 SS G_CDS: 0.26 Total: -5.04 kcal Atomic # 7 Polarization: -54.70 SS G_CDS: -0.07 Total: -54.77 kcal Atomic # 8 Polarization: -15.68 SS G_CDS: -0.77 Total: -16.44 kcal Atomic # 14 Polarization: 25.92 SS G_CDS: -5.09 Total: 20.84 kcal Total LS contribution 6.09 Total: 6.09 kcal Total: -34.01 -8.97 -42.99 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. ZINC001205445154.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 -83.955 kcal (2) G-P(sol) polarization free energy of solvation -34.012 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -117.967 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.974 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.986 kcal (6) G-S(sol) free energy of system = (1) + (5) -126.941 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.81 seconds