Wall clock time and date at job start Sat Apr 11 2020 06:12:12 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 1.42901 * 113.99769 * 2 1 4 4 C 1.53007 * 109.46855 * 180.02562 * 3 2 1 5 5 C 1.53000 * 109.46946 * 180.02562 * 4 3 2 6 6 C 1.53007 * 109.46946 * 180.02562 * 5 4 3 7 7 N 1.46899 * 109.46916 * 179.97438 * 6 5 4 8 8 C 1.48578 * 111.00345 * 307.41215 * 7 6 5 9 9 C 1.55038 * 103.28886 * 200.55872 * 8 7 6 10 10 C 1.54105 * 102.81348 * 37.01069 * 9 8 7 11 11 C 1.48032 * 110.99802 * 189.99697 * 7 6 5 12 12 C 1.52439 * 110.13074 * 97.58153 * 10 9 8 13 13 N 1.46203 * 109.85956 * 169.35063 * 12 10 9 14 14 C 1.46501 * 118.77424 * 162.38436 * 13 12 10 15 15 C 1.53000 * 109.46944 * 90.00293 * 14 13 12 16 16 C 1.50695 * 109.47020 * 179.97438 * 15 14 13 17 17 H 1.07994 * 120.00342 * 0.02562 * 16 15 14 18 18 C 1.37883 * 119.99989 * 180.02562 * 16 15 14 19 19 N 1.31518 * 119.99810 * 0.02562 * 18 16 15 20 20 Si 1.86798 * 120.00116 * 180.02562 * 18 16 15 21 21 H 1.48501 * 109.47250 * 59.99641 * 20 18 16 22 22 H 1.48495 * 109.47037 * 179.97438 * 20 18 16 23 23 H 1.48502 * 109.46971 * 299.99653 * 20 18 16 24 24 C 1.33713 * 122.54298 * 342.31858 * 13 12 10 25 25 O 1.21285 * 118.73118 * 182.46031 * 24 13 12 26 26 C 1.50301 * 122.57233 * 2.53627 * 24 13 12 27 27 O 1.42575 * 110.07710 * 219.16854 * 10 9 8 28 28 H 1.09003 * 109.47088 * 299.99699 * 1 2 3 29 29 H 1.09004 * 109.47445 * 59.99586 * 1 2 3 30 30 H 1.08997 * 109.47509 * 179.97438 * 1 2 3 31 31 H 1.09004 * 109.46700 * 60.00785 * 3 2 1 32 32 H 1.08992 * 109.47816 * 300.00380 * 3 2 1 33 33 H 1.09001 * 109.47177 * 60.00263 * 4 3 2 34 34 H 1.09003 * 109.47228 * 300.00199 * 4 3 2 35 35 H 1.09001 * 109.47236 * 59.99972 * 5 4 3 36 36 H 1.09003 * 109.47053 * 299.99979 * 5 4 3 37 37 H 1.08993 * 109.46849 * 59.99958 * 6 5 4 38 38 H 1.09002 * 109.46768 * 299.99605 * 6 5 4 39 39 H 1.09000 * 110.65556 * 319.01291 * 8 7 6 40 40 H 1.09007 * 110.65250 * 81.94006 * 8 7 6 41 41 H 1.09005 * 110.74750 * 278.67742 * 9 8 7 42 42 H 1.09007 * 110.74684 * 155.34386 * 9 8 7 43 43 H 1.09000 * 109.97979 * 26.41403 * 11 7 6 44 44 H 1.09002 * 110.01796 * 265.13794 * 11 7 6 45 45 H 1.09002 * 109.39388 * 289.44881 * 12 10 9 46 46 H 1.09000 * 109.39569 * 49.25967 * 12 10 9 47 47 H 1.09000 * 109.47060 * 209.99832 * 14 13 12 48 48 H 1.09002 * 109.47119 * 330.00441 * 14 13 12 49 49 H 1.09000 * 109.47128 * 300.00140 * 15 14 13 50 50 H 1.09002 * 109.47092 * 60.00131 * 15 14 13 51 51 H 0.96999 * 120.00005 * 180.02562 * 19 18 16 52 52 H 1.09001 * 109.40148 * 223.37643 * 26 24 13 53 53 H 1.09000 * 109.32935 * 103.59860 * 26 24 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 8 1.4290 0.0000 0.0000 3 6 2.0102 1.3055 0.0000 4 6 3.5354 1.1847 -0.0006 5 6 4.1577 2.5824 0.0000 6 6 5.6830 2.4616 -0.0013 7 7 6.2805 3.8036 -0.0013 8 6 5.7263 4.6332 -1.1023 9 6 6.7954 5.7408 -1.2867 10 6 8.1166 4.9828 -1.0530 11 6 7.7394 3.7347 -0.2424 12 6 8.7356 4.5837 -2.3876 13 7 10.0975 4.0952 -2.1772 14 6 10.7346 3.3054 -3.2339 15 6 11.4807 4.2393 -4.1890 16 6 12.1366 3.4269 -5.2756 17 1 12.0314 2.3521 -5.2845 18 6 12.8709 4.0558 -6.2586 19 7 12.9995 5.3646 -6.2476 20 14 13.6833 3.0488 -7.6060 21 1 12.6452 2.2991 -8.3580 22 1 14.4076 3.9552 -8.5329 23 1 14.6426 2.0917 -6.9986 24 6 10.7853 4.3424 -1.0575 25 8 11.9271 3.9419 -0.9743 26 6 10.1984 5.0958 0.1030 27 8 9.0248 5.7980 -0.3158 28 1 -0.3633 0.5138 0.8900 29 1 -0.3634 0.5139 -0.8900 30 1 -0.3634 -1.0276 -0.0005 31 1 1.6886 1.8463 0.8901 32 1 1.6885 1.8465 -0.8898 33 1 3.8567 0.6439 -0.8909 34 1 3.8575 0.6435 0.8891 35 1 3.8364 3.1228 0.8904 36 1 3.8357 3.1239 -0.8896 37 1 6.0039 1.9214 -0.8919 38 1 6.0053 1.9200 0.8881 39 1 5.6223 4.0436 -2.0131 40 1 4.7678 5.0646 -0.8135 41 1 6.6663 6.5294 -0.5453 42 1 6.7580 6.1492 -2.2967 43 1 7.9812 2.8356 -0.8092 44 1 8.2747 3.7314 0.7071 45 1 8.1353 3.7967 -2.8441 46 1 8.7600 5.4499 -3.0488 47 1 11.4391 2.6033 -2.7881 48 1 9.9725 2.7548 -3.7856 49 1 10.7763 4.9415 -4.6348 50 1 12.2427 4.7899 -3.6374 51 1 13.5158 5.8071 -6.9393 52 1 10.9317 5.8087 0.4800 53 1 9.9368 4.3931 0.8942 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 ZINC001273526289.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 06:12:12 Heat of formation + Delta-G solvation = -119.989069 kcal Electronic energy + Delta-G solvation = -30492.288209 eV Core-core repulsion = 26364.122834 eV Total energy + Delta-G solvation = -4128.165375 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) -41.12784 -39.06621 -38.39260 -37.16354 -35.49444 -34.74375 -33.06524 -31.89707 -30.22932 -29.08182 -28.80492 -27.43238 -26.58265 -25.34268 -24.53932 -23.55094 -22.04444 -21.81132 -20.82065 -20.34253 -18.38250 -17.64417 -16.84001 -16.75714 -16.68663 -16.37708 -16.01413 -15.84676 -15.36256 -15.35664 -15.01439 -14.82225 -14.46114 -14.34899 -13.96417 -13.65431 -13.37395 -13.12689 -12.95698 -12.80362 -12.57442 -12.37799 -12.34478 -12.05130 -11.96500 -11.86075 -11.67306 -11.61404 -11.49919 -11.33382 -11.19035 -11.01965 -10.96023 -10.87092 -10.68044 -10.27505 -10.11306 -9.90965 -9.85476 -9.33729 -8.99311 -8.72751 -8.36086 -8.13839 -6.01186 -4.04684 2.88915 3.14906 3.22455 3.32922 3.37335 3.40092 3.57263 3.67706 4.22535 4.35722 4.39142 4.46165 4.48338 4.55207 4.77822 4.80110 4.81178 4.89285 4.90488 4.95209 4.99901 5.06236 5.12881 5.15666 5.22201 5.24903 5.31073 5.34639 5.38709 5.41740 5.46162 5.50720 5.54463 5.56891 5.66610 5.78238 5.84430 5.87066 5.89173 6.04061 6.46358 6.46958 6.67427 6.70334 6.71514 6.82858 6.91800 7.57652 7.69516 7.90580 7.98481 8.33823 8.49951 9.01458 9.58938 11.10152 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011963 B = 0.002209 C = 0.001981 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2339.919127 B =12673.589288 C =14131.448768 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 -0.394 6.394 3 C 0.061 3.939 4 C -0.119 4.119 5 C -0.116 4.116 6 C 0.045 3.955 7 N -0.510 5.510 8 C 0.033 3.967 9 C -0.106 4.106 10 C 0.094 3.906 11 C 0.011 3.989 12 C 0.098 3.902 13 N -0.597 5.597 14 C 0.113 3.887 15 C 0.015 3.985 16 C -0.522 4.522 17 H 0.056 0.944 18 C 0.059 3.941 19 N -0.892 5.892 20 Si 0.895 3.105 21 H -0.277 1.277 22 H -0.287 1.287 23 H -0.276 1.276 24 C 0.480 3.520 25 O -0.537 6.537 26 C 0.047 3.953 27 O -0.354 6.354 28 H 0.041 0.959 29 H 0.041 0.959 30 H 0.085 0.915 31 H 0.049 0.951 32 H 0.049 0.951 33 H 0.071 0.929 34 H 0.072 0.928 35 H 0.074 0.926 36 H 0.066 0.934 37 H 0.040 0.960 38 H 0.078 0.922 39 H 0.051 0.949 40 H 0.090 0.910 41 H 0.094 0.906 42 H 0.087 0.913 43 H 0.058 0.942 44 H 0.090 0.910 45 H 0.080 0.920 46 H 0.080 0.920 47 H 0.075 0.925 48 H 0.062 0.938 49 H 0.015 0.985 50 H 0.023 0.977 51 H 0.261 0.739 52 H 0.129 0.871 53 H 0.086 0.914 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -25.127 -3.501 14.777 29.360 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 -0.313 6.313 3 C -0.015 4.015 4 C -0.157 4.157 5 C -0.154 4.154 6 C -0.083 4.083 7 N -0.235 5.235 8 C -0.095 4.095 9 C -0.145 4.145 10 C 0.053 3.947 11 C -0.117 4.117 12 C -0.026 4.026 13 N -0.330 5.330 14 C -0.007 4.007 15 C -0.023 4.023 16 C -0.561 4.561 17 H 0.074 0.926 18 C -0.143 4.143 19 N -0.531 5.531 20 Si 0.723 3.277 21 H -0.202 1.202 22 H -0.213 1.213 23 H -0.201 1.201 24 C 0.266 3.734 25 O -0.415 6.415 26 C -0.033 4.033 27 O -0.272 6.272 28 H 0.059 0.941 29 H 0.060 0.940 30 H 0.104 0.896 31 H 0.068 0.932 32 H 0.067 0.933 33 H 0.090 0.910 34 H 0.091 0.909 35 H 0.092 0.908 36 H 0.085 0.915 37 H 0.058 0.942 38 H 0.097 0.903 39 H 0.069 0.931 40 H 0.108 0.892 41 H 0.113 0.887 42 H 0.106 0.894 43 H 0.077 0.923 44 H 0.108 0.892 45 H 0.099 0.901 46 H 0.098 0.902 47 H 0.094 0.906 48 H 0.081 0.919 49 H 0.033 0.967 50 H 0.041 0.959 51 H 0.071 0.929 52 H 0.147 0.853 53 H 0.104 0.896 Dipole moment (debyes) X Y Z Total from point charges -24.484 -3.316 15.278 29.049 hybrid contribution 0.490 -0.876 -1.709 1.982 sum -23.993 -4.192 13.569 27.881 Atomic orbital electron populations 1.22742 0.80958 1.02816 0.99990 1.87877 1.19786 1.28227 1.95433 1.22554 0.94173 0.84567 1.00222 1.21482 0.92960 0.97615 1.03614 1.21545 0.94384 0.96373 1.03057 1.22329 0.94384 0.90051 1.01512 1.64882 1.02899 1.12605 1.43075 1.23329 0.98648 0.94414 0.93059 1.22471 0.90224 0.98176 1.03585 1.22289 0.90743 0.91215 0.90482 1.23527 0.89876 0.97444 1.00830 1.22067 0.83298 1.00643 0.96567 1.47681 1.14443 1.53220 1.17665 1.21963 0.96590 0.94683 0.87490 1.19342 0.95254 0.94679 0.93008 1.21039 1.32096 0.93351 1.09595 0.92617 1.25005 0.96305 0.94920 0.98059 1.69967 1.40788 1.08000 1.34350 0.86611 0.79608 0.79938 0.81556 1.20239 1.21250 1.20150 1.20709 0.86783 0.81375 0.84500 1.90761 1.17199 1.52197 1.81355 1.22875 0.87814 0.97737 0.94829 1.88116 1.30103 1.36053 1.72885 0.94066 0.94046 0.89604 0.93237 0.93296 0.91029 0.90901 0.90752 0.91495 0.94224 0.90326 0.93104 0.89209 0.88722 0.89405 0.92348 0.89196 0.90129 0.90184 0.90637 0.91925 0.96699 0.95890 0.92893 0.85327 0.89600 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 0.03 0.17 11.01 101.05 1.11 1.29 16 2 O -0.39 -3.40 10.70 -35.23 -0.38 -3.78 16 3 C 0.06 0.41 5.94 37.16 0.22 0.63 16 4 C -0.12 -0.79 5.58 -26.73 -0.15 -0.94 16 5 C -0.12 -0.73 4.87 -26.73 -0.13 -0.86 16 6 C 0.05 0.36 5.03 -3.82 -0.02 0.34 16 7 N -0.51 -4.71 5.40 -230.53 -1.25 -5.95 16 8 C 0.03 0.26 5.11 -1.82 -0.01 0.25 16 9 C -0.11 -0.99 6.34 -25.08 -0.16 -1.14 16 10 C 0.09 1.11 0.96 -90.06 -0.09 1.02 16 11 C 0.01 0.12 5.44 -2.93 -0.02 0.11 16 12 C 0.10 1.38 5.12 -4.49 -0.02 1.36 16 13 N -0.60 -10.86 2.80 -174.74 -0.49 -11.35 16 14 C 0.11 2.43 5.22 -4.04 -0.02 2.41 16 15 C 0.02 0.40 5.29 -27.89 -0.15 0.25 16 16 C -0.52 -15.01 9.11 -34.44 -0.31 -15.33 16 17 H 0.06 1.53 7.74 -52.49 -0.41 1.13 16 18 C 0.06 1.72 5.46 -17.82 -0.10 1.62 16 19 N -0.89 -27.32 13.29 55.43 0.74 -26.58 16 20 Si 0.90 21.94 29.54 -169.99 -5.02 16.92 16 21 H -0.28 -6.58 7.11 56.52 0.40 -6.18 16 22 H -0.29 -6.95 7.11 56.52 0.40 -6.55 16 23 H -0.28 -6.70 7.11 56.52 0.40 -6.30 16 24 C 0.48 8.93 7.42 -11.65 -0.09 8.84 16 25 O -0.54 -12.31 16.37 5.55 0.09 -12.22 16 26 C 0.05 0.65 6.43 35.81 0.23 0.88 16 27 O -0.35 -4.83 10.35 -35.23 -0.36 -5.19 16 28 H 0.04 0.19 8.14 -51.93 -0.42 -0.24 16 29 H 0.04 0.19 8.14 -51.93 -0.42 -0.23 16 30 H 0.09 0.38 8.14 -51.93 -0.42 -0.04 16 31 H 0.05 0.29 8.14 -51.93 -0.42 -0.13 16 32 H 0.05 0.29 8.14 -51.93 -0.42 -0.13 16 33 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 34 H 0.07 0.51 8.14 -51.93 -0.42 0.08 16 35 H 0.07 0.47 8.14 -51.93 -0.42 0.05 16 36 H 0.07 0.40 6.79 -51.93 -0.35 0.05 16 37 H 0.04 0.33 7.81 -51.93 -0.41 -0.07 16 38 H 0.08 0.62 8.14 -51.93 -0.42 0.20 16 39 H 0.05 0.39 7.99 -51.93 -0.41 -0.03 16 40 H 0.09 0.59 7.67 -51.92 -0.40 0.19 16 41 H 0.09 0.89 8.07 -51.93 -0.42 0.47 16 42 H 0.09 0.74 7.69 -51.93 -0.40 0.34 16 43 H 0.06 0.67 7.02 -51.93 -0.36 0.30 16 44 H 0.09 1.00 6.08 -51.93 -0.32 0.68 16 45 H 0.08 1.00 7.83 -51.93 -0.41 0.59 16 46 H 0.08 1.19 7.93 -51.93 -0.41 0.78 16 47 H 0.08 1.73 7.29 -51.93 -0.38 1.35 16 48 H 0.06 1.21 7.94 -51.93 -0.41 0.80 16 49 H 0.01 0.41 8.14 -51.93 -0.42 -0.01 16 50 H 0.02 0.69 8.14 -51.93 -0.42 0.27 16 51 H 0.26 7.55 8.31 -40.82 -0.34 7.21 16 52 H 0.13 1.64 8.14 -51.93 -0.42 1.22 16 53 H 0.09 0.99 6.47 -51.93 -0.34 0.65 16 LS Contribution 414.47 15.07 6.25 6.25 Total: -1.00 -34.88 414.47 -9.75 -44.63 By element: Atomic # 1 Polarization: 6.18 SS G_CDS: -9.63 Total: -3.45 kcal Atomic # 6 Polarization: 0.42 SS G_CDS: 0.30 Total: 0.72 kcal Atomic # 7 Polarization: -42.88 SS G_CDS: -1.00 Total: -43.88 kcal Atomic # 8 Polarization: -20.54 SS G_CDS: -0.65 Total: -21.19 kcal Atomic # 14 Polarization: 21.94 SS G_CDS: -5.02 Total: 16.92 kcal Total LS contribution 6.25 Total: 6.25 kcal Total: -34.88 -9.75 -44.63 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. ZINC001273526289.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 -75.357 kcal (2) G-P(sol) polarization free energy of solvation -34.881 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -110.238 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.751 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.632 kcal (6) G-S(sol) free energy of system = (1) + (5) -119.989 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.76 seconds