Wall clock time and date at job start Wed Apr 1 2020 00:19:41 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 1.42897 * 1 3 3 C 1.42899 * 113.99753 * 2 1 4 4 C 1.53006 * 109.46904 * 179.97438 * 3 2 1 5 5 C 1.53002 * 109.46999 * 175.39326 * 4 3 2 6 6 C 1.50697 * 112.85026 * 304.87287 * 5 4 3 7 7 O 1.21279 * 119.99645 * 110.76583 * 6 5 4 8 8 N 1.34778 * 120.00233 * 290.76720 * 6 5 4 9 9 C 1.47152 * 120.98193 * 354.93514 * 8 6 5 10 10 C 1.53294 * 108.38729 * 129.48659 * 9 8 6 11 11 O 1.43056 * 109.25034 * 52.30455 * 10 9 8 12 12 C 1.42962 * 114.10957 * 297.45627 * 11 10 9 13 13 H 1.08997 * 109.51739 * 302.60689 * 12 11 10 14 14 C 1.53000 * 109.51146 * 182.49780 * 12 11 10 15 15 H 1.09002 * 109.47230 * 185.10025 * 14 12 11 16 16 C 1.52998 * 109.47239 * 305.10352 * 14 12 11 17 17 N 1.46500 * 109.46838 * 65.10708 * 14 12 11 18 18 C 1.36940 * 119.99754 * 155.00043 * 17 14 12 19 19 H 1.07997 * 120.00110 * 359.97438 * 18 17 14 20 20 C 1.38819 * 119.99626 * 179.97438 * 18 17 14 21 21 N 1.31614 * 120.00004 * 359.97438 * 20 18 17 22 22 Si 1.86799 * 119.99862 * 179.97438 * 20 18 17 23 23 H 1.48500 * 109.46882 * 90.00022 * 22 20 18 24 24 H 1.48495 * 109.47287 * 210.00121 * 22 20 18 25 25 H 1.48505 * 109.47205 * 330.00214 * 22 20 18 26 26 C 1.47147 * 120.98084 * 174.95922 * 8 6 5 27 27 C 1.53777 * 113.68906 * 76.14622 * 5 4 3 28 28 C 1.53781 * 87.08144 * 89.12590 * 27 5 4 29 29 C 1.53778 * 87.08388 * 25.43067 * 28 27 5 30 30 H 1.09000 * 109.47261 * 60.00146 * 1 2 3 31 31 H 1.08997 * 109.47310 * 180.02562 * 1 2 3 32 32 H 1.09001 * 109.47340 * 300.00006 * 1 2 3 33 33 H 1.08996 * 109.47242 * 60.00079 * 3 2 1 34 34 H 1.09000 * 109.47484 * 299.99957 * 3 2 1 35 35 H 1.09001 * 109.47067 * 55.39784 * 4 3 2 36 36 H 1.08996 * 109.47251 * 295.39682 * 4 3 2 37 37 H 1.09001 * 109.68081 * 249.21458 * 9 8 6 38 38 H 1.09002 * 109.67995 * 9.72499 * 9 8 6 39 39 H 1.08996 * 109.50985 * 172.22395 * 10 9 8 40 40 H 1.08999 * 109.51017 * 292.32985 * 10 9 8 41 41 H 1.09004 * 109.46950 * 179.97438 * 16 14 12 42 42 H 1.08996 * 109.47308 * 299.99979 * 16 14 12 43 43 H 1.09004 * 109.47170 * 60.00475 * 16 14 12 44 44 H 0.96996 * 120.00176 * 334.99223 * 17 14 12 45 45 H 0.96997 * 119.99962 * 180.02562 * 21 20 18 46 46 H 1.08999 * 109.68404 * 110.79031 * 26 8 6 47 47 H 1.08997 * 109.68457 * 350.23484 * 26 8 6 48 48 H 1.08999 * 113.61148 * 203.67562 * 27 5 4 49 49 H 1.09000 * 113.61532 * 334.57195 * 27 5 4 50 50 H 1.08998 * 113.61062 * 270.87736 * 28 27 5 51 51 H 1.09006 * 113.61245 * 139.98330 * 28 27 5 52 52 H 1.08989 * 113.61607 * 220.01898 * 29 28 27 53 53 H 1.09004 * 113.61386 * 89.11296 * 29 28 27 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 1.4290 0.0000 0.0000 3 6 2.0101 1.3055 0.0000 4 6 3.5354 1.1847 0.0006 5 6 4.1574 2.5778 -0.1152 6 6 3.6631 3.3412 -1.3168 7 8 2.9471 4.3088 -1.1679 8 7 4.0166 2.9489 -2.5568 9 6 4.9714 1.8476 -2.7594 10 6 4.3586 0.8529 -3.7519 11 8 3.9407 1.5550 -4.9261 12 6 2.9204 2.5287 -4.6922 13 1 2.0547 2.0471 -4.2377 14 6 2.5107 3.1687 -6.0202 15 1 1.7995 3.9730 -5.8318 16 6 3.7493 3.7360 -6.7165 17 7 1.8883 2.1574 -6.8781 18 6 1.0048 2.5367 -7.8532 19 1 0.7666 3.5812 -7.9896 20 6 0.4154 1.5784 -8.6665 21 7 0.7061 0.3055 -8.5006 22 14 -0.7903 2.0956 -9.9963 23 1 -0.0531 2.3552 -11.2589 24 1 -1.7807 1.0111 -10.2154 25 1 -1.4954 3.3316 -9.5716 26 6 3.4596 3.6094 -3.7479 27 6 4.1086 3.3868 1.1916 28 6 5.4647 2.7524 1.5428 29 6 5.6883 2.5829 0.0309 30 1 -0.3634 0.5138 -0.8900 31 1 -0.3634 -1.0276 0.0005 32 1 -0.3634 0.5138 0.8900 33 1 1.6885 1.8464 0.8899 34 1 1.6885 1.8464 -0.8900 35 1 3.8519 0.5741 -0.8450 36 1 3.8625 0.7168 0.9292 37 1 5.9048 2.2406 -3.1624 38 1 5.1630 1.3485 -1.8096 39 1 5.1023 0.1031 -4.0217 40 1 3.4987 0.3645 -3.2937 41 1 3.4575 4.1916 -7.6628 42 1 4.2125 4.4884 -6.0782 43 1 4.4606 2.9317 -6.9050 44 1 2.1020 1.2193 -6.7554 45 1 0.2945 -0.3640 -9.0691 46 1 4.2407 4.1796 -4.2505 47 1 2.6496 4.2764 -3.4528 48 1 4.1572 4.4650 1.0396 49 1 3.3008 3.0886 1.8599 50 1 5.3788 1.8080 2.0802 51 1 6.1625 3.4458 2.0124 52 1 6.1557 1.6357 -0.2379 53 1 6.1687 3.4414 -0.4384 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 ZINC001717619930.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 00:19:41 Heat of formation + Delta-G solvation = -86.622461 kcal Electronic energy + Delta-G solvation = -32252.680501 eV Core-core repulsion = 28125.962010 eV Total energy + Delta-G solvation = -4126.718490 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.88 seconds Orbital eigenvalues (eV) -41.35200 -39.24091 -37.95058 -37.54160 -35.52497 -34.52779 -32.52898 -31.83859 -30.32365 -28.53571 -27.82948 -26.81063 -26.20638 -25.44410 -24.50602 -23.41908 -23.02587 -22.31386 -20.17420 -19.55820 -18.68167 -17.34095 -17.05890 -16.69192 -16.65725 -16.24872 -15.86472 -15.55519 -15.21716 -15.15954 -14.98907 -14.58859 -14.46829 -14.11761 -13.67470 -13.51300 -13.32489 -12.95801 -12.75930 -12.74763 -12.65384 -12.47333 -12.12367 -11.96358 -11.82874 -11.67193 -11.40790 -11.36541 -11.27514 -11.11021 -10.84772 -10.81907 -10.72915 -10.65695 -10.45513 -10.25413 -9.99501 -9.84108 -9.81247 -9.66593 -9.52885 -8.88170 -8.47058 -6.91927 -5.72133 -3.00856 2.48089 2.80513 3.41472 3.45768 3.50867 3.52425 3.98407 4.01239 4.18139 4.29521 4.44057 4.54415 4.59565 4.77935 4.80296 4.92405 4.95331 5.04952 5.13253 5.19612 5.20039 5.24840 5.27700 5.32558 5.35700 5.40437 5.46377 5.48488 5.54464 5.55765 5.60570 5.67858 5.68796 5.71510 5.78563 5.82871 5.85032 5.99856 6.01304 6.03834 6.22427 6.38979 6.47647 6.66704 6.83416 6.94099 7.17220 7.28700 7.48960 7.73004 8.05362 8.46031 9.57883 10.15616 10.52385 11.50294 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014031 B = 0.003095 C = 0.002799 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1995.037668 B = 9045.517125 C =10002.278125 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.032 3.968 2 O -0.391 6.391 3 C 0.061 3.939 4 C -0.092 4.092 5 C -0.105 4.105 6 C 0.530 3.470 7 O -0.539 6.539 8 N -0.608 5.608 9 C 0.066 3.934 10 C 0.044 3.956 11 O -0.357 6.357 12 C 0.077 3.923 13 H 0.061 0.939 14 C 0.185 3.815 15 H 0.058 0.942 16 C -0.162 4.162 17 N -0.719 5.719 18 C -0.239 4.239 19 H 0.070 0.930 20 C -0.013 4.013 21 N -0.930 5.930 22 Si 0.905 3.095 23 H -0.290 1.290 24 H -0.292 1.292 25 H -0.282 1.282 26 C 0.082 3.918 27 C -0.112 4.112 28 C -0.140 4.140 29 C -0.125 4.125 30 H 0.045 0.955 31 H 0.087 0.913 32 H 0.040 0.960 33 H 0.052 0.948 34 H 0.050 0.950 35 H 0.083 0.917 36 H 0.085 0.915 37 H 0.077 0.923 38 H 0.097 0.903 39 H 0.103 0.897 40 H 0.054 0.946 41 H 0.052 0.948 42 H 0.034 0.966 43 H 0.057 0.943 44 H 0.389 0.611 45 H 0.254 0.746 46 H 0.080 0.920 47 H 0.097 0.903 48 H 0.091 0.909 49 H 0.073 0.927 50 H 0.085 0.915 51 H 0.073 0.927 52 H 0.080 0.920 53 H 0.088 0.912 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 10.806 1.709 22.457 24.980 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 -0.065 4.065 2 O -0.310 6.310 3 C -0.015 4.015 4 C -0.130 4.130 5 C -0.108 4.108 6 C 0.318 3.682 7 O -0.416 6.416 8 N -0.341 5.341 9 C -0.057 4.057 10 C -0.034 4.034 11 O -0.275 6.275 12 C 0.018 3.982 13 H 0.079 0.921 14 C 0.074 3.926 15 H 0.076 0.924 16 C -0.222 4.222 17 N -0.361 5.361 18 C -0.370 4.370 19 H 0.088 0.912 20 C -0.209 4.209 21 N -0.579 5.579 22 Si 0.737 3.263 23 H -0.218 1.218 24 H -0.218 1.218 25 H -0.208 1.208 26 C -0.041 4.041 27 C -0.150 4.150 28 C -0.178 4.178 29 C -0.162 4.162 30 H 0.063 0.937 31 H 0.106 0.894 32 H 0.058 0.942 33 H 0.070 0.930 34 H 0.068 0.932 35 H 0.101 0.899 36 H 0.104 0.896 37 H 0.095 0.905 38 H 0.115 0.885 39 H 0.121 0.879 40 H 0.073 0.927 41 H 0.071 0.929 42 H 0.053 0.947 43 H 0.076 0.924 44 H 0.223 0.777 45 H 0.064 0.936 46 H 0.098 0.902 47 H 0.116 0.884 48 H 0.110 0.890 49 H 0.092 0.908 50 H 0.103 0.897 51 H 0.091 0.909 52 H 0.098 0.902 53 H 0.106 0.894 Dipole moment (debyes) X Y Z Total from point charges 10.465 2.109 22.226 24.657 hybrid contribution -0.888 0.148 -0.624 1.095 sum 9.577 2.257 21.602 23.737 Atomic orbital electron populations 1.22757 0.80583 1.02895 1.00239 1.87819 1.20099 1.27601 1.95495 1.22472 0.93391 0.84881 1.00794 1.21332 0.93758 0.93608 1.04288 1.22081 0.97777 0.96337 0.94599 1.20367 0.79939 0.84250 0.83633 1.90689 1.37770 1.27568 1.85584 1.48139 1.44883 1.35397 1.05729 1.22719 0.92684 0.88937 1.01382 1.22940 0.99550 0.93767 0.87159 1.88125 1.56477 1.52940 1.29943 1.22951 0.89628 0.88576 0.97067 0.92056 1.20191 0.93222 0.91907 0.87267 0.92400 1.22409 0.99523 0.99855 1.00396 1.42355 1.50856 1.05067 1.37781 1.19249 1.16630 0.92685 1.08455 0.91199 1.24734 1.00841 0.95305 1.00022 1.69677 1.47162 0.99354 1.41675 0.86213 0.80783 0.77206 0.82131 1.21757 1.21837 1.20784 1.22495 1.00290 0.96222 0.85067 1.22848 0.97778 1.00207 0.94132 1.22857 0.97566 1.01458 0.95898 1.23063 0.92851 1.03025 0.97295 0.93671 0.89424 0.94165 0.92990 0.93202 0.89904 0.89613 0.90482 0.88485 0.87907 0.92737 0.92918 0.94696 0.92430 0.77661 0.93575 0.90171 0.88445 0.89017 0.90789 0.89657 0.90875 0.90188 0.89363 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 0.32 11.01 101.05 1.11 1.44 16 2 O -0.39 -4.79 10.70 -35.23 -0.38 -5.17 16 3 C 0.06 0.69 5.66 37.16 0.21 0.90 16 4 C -0.09 -0.84 4.67 -26.73 -0.12 -0.97 16 5 C -0.10 -0.98 0.30 -154.85 -0.05 -1.03 16 6 C 0.53 6.93 5.34 -10.99 -0.06 6.87 16 7 O -0.54 -8.92 15.74 5.56 0.09 -8.83 16 8 N -0.61 -7.79 3.02 -172.28 -0.52 -8.31 16 9 C 0.07 0.68 5.51 -3.53 -0.02 0.66 16 10 C 0.04 0.55 6.99 37.31 0.26 0.81 16 11 O -0.36 -6.08 9.25 -35.23 -0.33 -6.41 16 12 C 0.08 1.34 2.60 -26.57 -0.07 1.27 16 13 H 0.06 1.17 8.14 -51.93 -0.42 0.74 16 14 C 0.18 3.75 2.77 -67.93 -0.19 3.56 16 15 H 0.06 1.18 8.08 -51.93 -0.42 0.76 16 16 C -0.16 -3.01 9.06 37.16 0.34 -2.68 16 17 N -0.72 -18.42 5.10 -53.42 -0.27 -18.69 16 18 C -0.24 -6.71 9.93 -15.06 -0.15 -6.86 16 19 H 0.07 1.90 7.83 -52.49 -0.41 1.49 16 20 C -0.01 -0.38 5.50 -17.43 -0.10 -0.47 16 21 N -0.93 -28.48 13.06 55.49 0.72 -27.76 16 22 Si 0.91 22.63 29.55 -169.99 -5.02 17.61 16 23 H -0.29 -7.23 7.11 56.52 0.40 -6.83 16 24 H -0.29 -7.35 7.11 56.52 0.40 -6.95 16 25 H -0.28 -6.85 7.11 56.52 0.40 -6.45 16 26 C 0.08 1.21 5.81 -3.53 -0.02 1.19 16 27 C -0.11 -0.96 6.79 -25.92 -0.18 -1.14 16 28 C -0.14 -0.88 7.73 -25.92 -0.20 -1.08 16 29 C -0.12 -0.87 5.64 -25.92 -0.15 -1.02 16 30 H 0.04 0.49 8.14 -51.93 -0.42 0.07 16 31 H 0.09 0.76 8.14 -51.93 -0.42 0.34 16 32 H 0.04 0.35 8.14 -51.93 -0.42 -0.07 16 33 H 0.05 0.55 7.59 -51.93 -0.39 0.15 16 34 H 0.05 0.68 7.10 -51.93 -0.37 0.31 16 35 H 0.08 0.76 6.21 -51.93 -0.32 0.44 16 36 H 0.09 0.65 7.31 -51.93 -0.38 0.27 16 37 H 0.08 0.73 8.14 -51.93 -0.42 0.31 16 38 H 0.10 0.77 3.14 -51.93 -0.16 0.60 16 39 H 0.10 1.07 8.14 -51.93 -0.42 0.64 16 40 H 0.05 0.72 8.14 -51.93 -0.42 0.29 16 41 H 0.05 1.04 8.14 -51.93 -0.42 0.62 16 42 H 0.03 0.54 6.42 -51.93 -0.33 0.21 16 43 H 0.06 1.13 7.56 -51.93 -0.39 0.73 16 44 H 0.39 10.76 7.58 -40.82 -0.31 10.45 16 45 H 0.25 7.53 8.31 -40.82 -0.34 7.19 16 46 H 0.08 1.14 6.27 -51.93 -0.33 0.81 16 47 H 0.10 1.54 7.12 -51.93 -0.37 1.17 16 48 H 0.09 0.91 7.79 -51.93 -0.40 0.50 16 49 H 0.07 0.60 7.55 -51.93 -0.39 0.21 16 50 H 0.08 0.45 7.61 -51.93 -0.40 0.05 16 51 H 0.07 0.41 8.14 -51.93 -0.42 -0.02 16 52 H 0.08 0.44 7.11 -51.94 -0.37 0.07 16 53 H 0.09 0.66 8.09 -51.93 -0.42 0.24 16 LS Contribution 405.03 15.07 6.10 6.10 Total: -1.00 -33.54 405.03 -8.09 -41.63 By element: Atomic # 1 Polarization: 17.47 SS G_CDS: -9.11 Total: 8.36 kcal Atomic # 6 Polarization: 0.85 SS G_CDS: 0.62 Total: 1.47 kcal Atomic # 7 Polarization: -54.69 SS G_CDS: -0.07 Total: -54.76 kcal Atomic # 8 Polarization: -19.80 SS G_CDS: -0.62 Total: -20.41 kcal Atomic # 14 Polarization: 22.63 SS G_CDS: -5.02 Total: 17.61 kcal Total LS contribution 6.10 Total: 6.10 kcal Total: -33.54 -8.09 -41.63 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. ZINC001717619930.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 -44.991 kcal (2) G-P(sol) polarization free energy of solvation -33.541 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -78.532 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.090 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.632 kcal (6) G-S(sol) free energy of system = (1) + (5) -86.622 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.88 seconds