Wall clock time and date at job start Tue Mar 31 2020 05:46:41 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 C 1.52996 * 1 3 3 C 1.53002 * 109.47058 * 2 1 4 4 C 1.53001 * 109.47307 * 119.99832 * 2 1 3 5 5 O 1.45194 * 109.47197 * 175.00089 * 4 2 1 6 6 C 1.34641 * 117.00181 * 179.97438 * 5 4 2 7 7 O 1.21511 * 119.99518 * 0.02562 * 6 5 4 8 8 N 1.34776 * 120.00077 * 179.97438 * 6 5 4 9 9 C 1.46928 * 120.62884 * 180.02562 * 8 6 5 10 10 C 1.53196 * 108.89034 * 233.51499 * 9 8 6 11 11 C 1.53069 * 109.29542 * 305.58096 * 10 9 8 12 12 C 1.50703 * 109.45135 * 181.24611 * 11 10 9 13 13 O 1.21286 * 119.99609 * 250.37961 * 12 11 10 14 14 N 1.34773 * 120.00106 * 70.37831 * 12 11 10 15 15 C 1.46506 * 119.99818 * 183.78892 * 14 12 11 16 16 C 1.46493 * 120.00118 * 3.79326 * 14 12 11 17 17 H 1.09006 * 109.47487 * 354.27677 * 16 14 12 18 18 C 1.52998 * 109.47407 * 114.28207 * 16 14 12 19 19 C 1.50706 * 109.47021 * 234.27937 * 16 14 12 20 20 H 1.07994 * 120.00007 * 0.02562 * 19 16 14 21 21 C 1.37878 * 119.99915 * 179.97438 * 19 16 14 22 22 N 1.31519 * 120.00060 * 359.97438 * 21 19 16 23 23 Si 1.86801 * 119.99873 * 180.02562 * 21 19 16 24 24 H 1.48502 * 109.46972 * 59.99715 * 23 21 19 25 25 H 1.48495 * 109.47262 * 179.97438 * 23 21 19 26 26 H 1.48499 * 109.47033 * 300.00025 * 23 21 19 27 27 C 1.53038 * 109.66459 * 61.15150 * 11 10 9 28 28 C 1.46931 * 120.63069 * 359.97438 * 8 6 5 29 29 H 1.09000 * 109.47565 * 299.99751 * 1 2 3 30 30 H 1.08998 * 109.47395 * 59.99771 * 1 2 3 31 31 H 1.08999 * 109.47202 * 180.02562 * 1 2 3 32 32 H 1.09000 * 109.47048 * 240.00347 * 2 1 3 33 33 H 1.09007 * 109.47048 * 59.99596 * 3 2 1 34 34 H 1.08999 * 109.47459 * 180.02562 * 3 2 1 35 35 H 1.08998 * 109.47204 * 300.00346 * 3 2 1 36 36 H 1.09004 * 109.46699 * 54.99976 * 4 2 1 37 37 H 1.09004 * 109.47013 * 295.00419 * 4 2 1 38 38 H 1.08997 * 109.58330 * 353.37422 * 9 8 6 39 39 H 1.08997 * 109.58507 * 113.66168 * 9 8 6 40 40 H 1.08998 * 109.49486 * 65.38619 * 10 9 8 41 41 H 1.08997 * 109.49564 * 185.48216 * 10 9 8 42 42 H 1.09002 * 109.33514 * 301.13091 * 11 10 9 43 43 H 1.08997 * 109.47094 * 84.96207 * 15 14 12 44 44 H 1.08995 * 109.46797 * 204.96585 * 15 14 12 45 45 H 1.08995 * 109.47063 * 324.96331 * 15 14 12 46 46 H 1.09004 * 109.46897 * 299.99193 * 18 16 14 47 47 H 1.08992 * 109.47239 * 59.99869 * 18 16 14 48 48 H 1.09000 * 109.47124 * 180.02562 * 18 16 14 49 49 H 0.96996 * 119.99517 * 179.97438 * 22 21 19 50 50 H 1.08995 * 109.50287 * 178.74683 * 27 11 10 51 51 H 1.09004 * 109.49325 * 58.65113 * 27 11 10 52 52 H 1.08998 * 109.58520 * 246.20182 * 28 8 6 53 53 H 1.09004 * 109.58635 * 6.48418 * 28 8 6 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 6 2.0400 1.4425 0.0000 4 6 2.0400 -0.7212 1.2493 5 8 3.4870 -0.8254 1.1911 6 6 4.0978 -1.4381 2.2228 7 8 3.4394 -1.8743 3.1462 8 7 5.4392 -1.5686 2.2307 9 6 6.1199 -2.2352 3.3492 10 6 7.2063 -1.3033 3.8951 11 6 8.1333 -0.8829 2.7519 12 6 9.2215 0.0097 3.2906 13 8 9.2288 1.1908 3.0152 14 7 10.1866 -0.5046 4.0784 15 6 11.1966 0.3767 4.6696 16 6 10.2257 -1.9448 4.3434 17 1 9.3458 -2.4185 3.9079 18 6 11.4883 -2.5440 3.7207 19 6 10.2387 -2.1816 5.8317 20 1 10.2193 -1.3431 6.5120 21 6 10.2742 -3.4687 6.3247 22 7 10.2963 -4.4899 5.4962 23 14 10.2897 -3.7621 8.1695 24 1 9.0642 -3.1802 8.7735 25 1 10.3281 -5.2220 8.4382 26 1 11.4883 -3.1172 8.7632 27 6 7.3316 -0.1258 1.6907 28 6 6.2485 -1.0478 1.1205 29 1 -0.3634 0.5138 0.8900 30 1 -0.3634 0.5138 -0.8899 31 1 -0.3633 -1.0276 0.0005 32 1 1.8933 -0.5138 -0.8900 33 1 1.6765 1.9564 0.8900 34 1 3.1299 1.4426 -0.0005 35 1 1.6766 1.9564 -0.8899 36 1 1.6053 -1.7198 1.2951 37 1 1.7516 -0.1583 2.1370 38 1 5.3988 -2.4564 4.1361 39 1 6.5751 -3.1619 2.9998 40 1 6.7417 -0.4176 4.3285 41 1 7.7817 -1.8243 4.6603 42 1 8.5802 -1.7707 2.3045 43 1 10.8108 0.8011 5.5964 44 1 12.0998 -0.1959 4.8804 45 1 11.4307 1.1805 3.9717 46 1 11.4788 -2.3729 2.6442 47 1 12.3680 -2.0704 4.1562 48 1 11.5171 -3.6157 3.9175 49 1 10.3217 -5.3953 5.8431 50 1 7.9981 0.1916 0.8888 51 1 6.8640 0.7487 2.1432 52 1 6.7164 -1.8766 0.5892 53 1 5.6120 -0.4875 0.4356 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 ZINC000069809325.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 05:46:41 Heat of formation + Delta-G solvation = -132.390823 kcal Electronic energy + Delta-G solvation = -31514.542981 eV Core-core repulsion = 27385.839826 eV Total energy + Delta-G solvation = -4128.703156 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.84 seconds Orbital eigenvalues (eV) -40.67084 -39.59427 -37.84098 -36.53480 -35.62297 -35.15067 -32.82796 -32.68490 -30.93693 -29.22036 -27.61463 -27.47105 -26.60771 -25.36947 -24.83794 -23.15552 -21.91878 -21.19205 -20.58914 -19.81921 -18.47318 -17.75478 -17.05815 -16.66712 -16.51630 -16.29471 -15.27839 -15.14821 -14.80312 -14.70258 -14.51292 -14.30062 -14.07650 -13.52215 -13.39722 -13.24841 -13.17179 -12.75462 -12.70842 -12.66146 -12.42948 -12.18741 -11.92661 -11.73190 -11.59044 -11.45137 -11.40429 -11.34407 -11.16994 -11.03298 -11.01539 -10.92312 -10.78316 -10.57980 -10.53000 -10.41017 -10.33319 -10.22054 -10.15305 -9.38003 -9.01318 -8.64021 -8.55444 -7.66196 -6.22774 -4.31255 2.15062 2.89097 3.21433 3.27094 3.28414 3.34695 3.81044 3.94464 4.28864 4.48106 4.52989 4.75364 4.89348 5.04865 5.08618 5.09868 5.17215 5.18959 5.24261 5.27853 5.35555 5.44356 5.51085 5.54111 5.60554 5.65326 5.72867 5.80757 5.86923 5.89720 5.97115 6.02054 6.07002 6.16683 6.19526 6.23824 6.36331 6.40771 6.42682 6.52236 6.59960 6.69924 6.71367 6.92153 7.14260 7.36279 7.41209 7.62084 7.79732 8.06267 8.34431 8.43338 8.71094 8.97945 9.37760 10.81761 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.015236 B = 0.002815 C = 0.002527 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1837.310935 B = 9943.806615 C =11076.704073 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C -0.096 4.096 3 C -0.148 4.148 4 C 0.090 3.910 5 O -0.368 6.368 6 C 0.650 3.350 7 O -0.577 6.577 8 N -0.590 5.590 9 C 0.130 3.870 10 C -0.130 4.130 11 C -0.102 4.102 12 C 0.513 3.487 13 O -0.576 6.576 14 N -0.591 5.591 15 C 0.099 3.901 16 C 0.249 3.751 17 H 0.060 0.940 18 C -0.153 4.153 19 C -0.530 4.530 20 H 0.061 0.939 21 C 0.069 3.931 22 N -0.887 5.887 23 Si 0.896 3.104 24 H -0.275 1.275 25 H -0.286 1.286 26 H -0.277 1.277 27 C -0.112 4.112 28 C 0.113 3.887 29 H 0.059 0.941 30 H 0.064 0.936 31 H 0.058 0.942 32 H 0.081 0.919 33 H 0.054 0.946 34 H 0.063 0.937 35 H 0.056 0.944 36 H 0.068 0.932 37 H 0.069 0.931 38 H 0.097 0.903 39 H 0.079 0.921 40 H 0.065 0.935 41 H 0.114 0.886 42 H 0.096 0.904 43 H 0.044 0.956 44 H 0.070 0.930 45 H 0.054 0.946 46 H 0.011 0.989 47 H 0.032 0.968 48 H 0.095 0.905 49 H 0.266 0.734 50 H 0.079 0.921 51 H 0.074 0.926 52 H 0.072 0.928 53 H 0.091 0.909 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -12.210 5.208 -11.333 17.454 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 -0.203 4.203 2 C -0.115 4.115 3 C -0.205 4.205 4 C 0.016 3.984 5 O -0.282 6.282 6 C 0.404 3.596 7 O -0.467 6.467 8 N -0.331 5.331 9 C 0.010 3.990 10 C -0.169 4.169 11 C -0.123 4.123 12 C 0.300 3.700 13 O -0.457 6.457 14 N -0.321 5.321 15 C -0.044 4.044 16 C 0.149 3.851 17 H 0.077 0.923 18 C -0.211 4.211 19 C -0.568 4.568 20 H 0.080 0.920 21 C -0.134 4.134 22 N -0.524 5.524 23 Si 0.724 3.276 24 H -0.201 1.201 25 H -0.212 1.212 26 H -0.202 1.202 27 C -0.151 4.151 28 C -0.010 4.010 29 H 0.078 0.922 30 H 0.083 0.917 31 H 0.077 0.923 32 H 0.100 0.900 33 H 0.074 0.926 34 H 0.082 0.918 35 H 0.075 0.925 36 H 0.087 0.913 37 H 0.087 0.913 38 H 0.115 0.885 39 H 0.097 0.903 40 H 0.084 0.916 41 H 0.132 0.868 42 H 0.114 0.886 43 H 0.062 0.938 44 H 0.089 0.911 45 H 0.073 0.927 46 H 0.031 0.969 47 H 0.051 0.949 48 H 0.113 0.887 49 H 0.075 0.925 50 H 0.097 0.903 51 H 0.092 0.908 52 H 0.090 0.910 53 H 0.109 0.891 Dipole moment (debyes) X Y Z Total from point charges -12.446 5.467 -11.192 17.608 hybrid contribution 0.172 -0.372 1.203 1.271 sum -12.273 5.095 -9.989 16.625 Atomic orbital electron populations 1.21772 0.93676 1.02304 1.02536 1.21176 0.95847 0.97046 0.97387 1.21836 1.02050 0.94875 1.01754 1.23046 0.75311 1.01093 0.98998 1.86193 1.23991 1.73350 1.44691 1.17994 0.83210 0.77571 0.80827 1.90977 1.64307 1.54070 1.37346 1.47061 1.02141 1.60027 1.23827 1.21728 0.94621 0.94741 0.87930 1.22078 0.96285 1.00451 0.98055 1.21221 0.94909 0.99103 0.97082 1.20430 0.82738 0.88047 0.78745 1.90586 1.76812 1.17197 1.61143 1.48266 1.26907 1.10627 1.46265 1.21325 0.92081 0.93811 0.97227 1.19183 0.95937 0.73792 0.96207 0.92270 1.22152 0.98481 1.04773 0.95703 1.21266 1.52178 0.92474 0.90912 0.92033 1.24860 0.94517 0.95862 0.98145 1.69837 1.49514 0.98820 1.34279 0.86577 0.78827 0.77140 0.85073 1.20082 1.21158 1.20224 1.21737 0.96739 0.98150 0.98478 1.21798 0.93323 0.97700 0.88140 0.92235 0.91663 0.92271 0.90021 0.92649 0.91755 0.92487 0.91314 0.91257 0.88451 0.90293 0.91581 0.86764 0.88571 0.93784 0.91100 0.92710 0.96950 0.94877 0.88674 0.92451 0.90254 0.90769 0.91017 0.89064 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -0.90 9.19 37.16 0.34 -0.55 16 2 C -0.10 -0.76 3.16 -90.62 -0.29 -1.04 16 3 C -0.15 -1.16 9.09 37.16 0.34 -0.83 16 4 C 0.09 0.96 4.85 37.16 0.18 1.14 16 5 O -0.37 -4.78 8.40 -40.33 -0.34 -5.12 16 6 C 0.65 10.09 8.43 54.05 0.46 10.55 16 7 O -0.58 -10.57 15.55 -19.28 -0.30 -10.87 16 8 N -0.59 -8.54 2.97 -178.52 -0.53 -9.07 16 9 C 0.13 1.99 6.43 -3.71 -0.02 1.96 16 10 C -0.13 -2.18 4.97 -26.59 -0.13 -2.31 16 11 C -0.10 -1.68 1.62 -91.71 -0.15 -1.83 16 12 C 0.51 10.20 6.93 -10.99 -0.08 10.12 16 13 O -0.58 -12.64 15.65 5.55 0.09 -12.56 16 14 N -0.59 -12.13 2.75 -175.26 -0.48 -12.61 16 15 C 0.10 1.88 9.35 59.85 0.56 2.44 16 16 C 0.25 5.45 1.71 -69.08 -0.12 5.33 16 17 H 0.06 1.31 4.46 -51.93 -0.23 1.08 16 18 C -0.15 -3.28 9.04 37.16 0.34 -2.95 16 19 C -0.53 -12.80 7.97 -34.44 -0.27 -13.07 16 20 H 0.06 1.53 7.44 -52.49 -0.39 1.14 16 21 C 0.07 1.70 5.30 -17.82 -0.09 1.61 16 22 N -0.89 -22.33 11.32 55.43 0.63 -21.70 16 23 Si 0.90 19.72 29.54 -169.99 -5.02 14.70 16 24 H -0.28 -6.10 7.11 56.52 0.40 -5.70 16 25 H -0.29 -6.30 7.11 56.52 0.40 -5.90 16 26 H -0.28 -6.11 7.11 56.52 0.40 -5.70 16 27 C -0.11 -1.60 4.70 -26.59 -0.12 -1.72 16 28 C 0.11 1.38 6.45 -3.68 -0.02 1.36 16 29 H 0.06 0.36 8.14 -51.93 -0.42 -0.06 16 30 H 0.06 0.34 8.14 -51.93 -0.42 -0.09 16 31 H 0.06 0.34 8.14 -51.93 -0.42 -0.08 16 32 H 0.08 0.63 8.14 -51.93 -0.42 0.20 16 33 H 0.05 0.44 8.14 -51.92 -0.42 0.01 16 34 H 0.06 0.58 7.82 -51.93 -0.41 0.17 16 35 H 0.06 0.37 8.14 -51.93 -0.42 -0.05 16 36 H 0.07 0.73 8.14 -51.93 -0.42 0.30 16 37 H 0.07 0.76 8.14 -51.93 -0.42 0.34 16 38 H 0.10 1.57 7.00 -51.93 -0.36 1.21 16 39 H 0.08 1.14 8.14 -51.93 -0.42 0.72 16 40 H 0.07 1.15 8.14 -51.93 -0.42 0.73 16 41 H 0.11 2.19 5.83 -51.93 -0.30 1.88 16 42 H 0.10 1.56 7.13 -51.93 -0.37 1.18 16 43 H 0.04 0.83 8.14 -51.93 -0.42 0.41 16 44 H 0.07 1.30 6.76 -51.93 -0.35 0.95 16 45 H 0.05 1.00 7.53 -51.93 -0.39 0.61 16 46 H 0.01 0.23 8.14 -51.93 -0.42 -0.19 16 47 H 0.03 0.69 6.93 -51.93 -0.36 0.33 16 48 H 0.09 2.24 6.07 -51.93 -0.32 1.92 16 49 H 0.27 6.50 8.31 -40.82 -0.34 6.16 16 50 H 0.08 1.08 8.14 -51.93 -0.42 0.65 16 51 H 0.07 1.16 8.03 -51.93 -0.42 0.75 16 52 H 0.07 0.78 8.14 -51.93 -0.42 0.36 16 53 H 0.09 1.00 6.93 -51.93 -0.36 0.64 16 LS Contribution 410.94 15.07 6.19 6.19 Total: -1.00 -28.68 410.94 -8.17 -36.85 By element: Atomic # 1 Polarization: 13.29 SS G_CDS: -9.31 Total: 3.98 kcal Atomic # 6 Polarization: 9.29 SS G_CDS: 0.91 Total: 10.20 kcal Atomic # 7 Polarization: -42.99 SS G_CDS: -0.39 Total: -43.38 kcal Atomic # 8 Polarization: -27.99 SS G_CDS: -0.55 Total: -28.54 kcal Atomic # 14 Polarization: 19.72 SS G_CDS: -5.02 Total: 14.70 kcal Total LS contribution 6.19 Total: 6.19 kcal Total: -28.68 -8.17 -36.85 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. ZINC000069809325.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 -95.537 kcal (2) G-P(sol) polarization free energy of solvation -28.683 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -124.220 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.171 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -36.854 kcal (6) G-S(sol) free energy of system = (1) + (5) -132.391 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.84 seconds