Wall clock time and date at job start Sat Apr 11 2020 06:12:20 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 1.42909 * 113.99909 * 2 1 4 4 C 1.53001 * 109.46969 * 180.02562 * 3 2 1 5 5 C 1.50703 * 109.54170 * 292.90289 * 4 3 2 6 6 O 1.21282 * 119.99463 * 239.01980 * 5 4 3 7 7 N 1.34774 * 119.99973 * 59.01464 * 5 4 3 8 8 C 1.46920 * 120.63251 * 5.94877 * 7 5 4 9 9 C 1.53196 * 108.77221 * 126.36805 * 8 7 5 10 10 C 1.53039 * 109.31311 * 54.63988 * 9 8 7 11 11 C 1.53045 * 109.53432 * 298.63286 * 10 9 8 12 12 C 1.46931 * 120.62699 * 185.92946 * 7 5 4 13 13 H 1.08998 * 109.58501 * 113.84741 * 12 7 5 14 14 C 1.52997 * 109.58775 * 353.41905 * 12 7 5 15 15 N 1.46497 * 109.47485 * 68.91499 * 14 12 7 16 16 C 1.36937 * 120.00338 * 184.98934 * 15 14 12 17 17 H 1.07998 * 119.99984 * 0.02562 * 16 15 14 18 18 C 1.38816 * 120.00047 * 179.97438 * 16 15 14 19 19 N 1.31622 * 119.99724 * 180.02562 * 18 16 15 20 20 Si 1.86795 * 120.00103 * 0.02562 * 18 16 15 21 21 H 1.48502 * 109.47375 * 89.99255 * 20 18 16 22 22 H 1.48500 * 109.47144 * 209.99740 * 20 18 16 23 23 H 1.48503 * 109.47021 * 329.99560 * 20 18 16 24 24 C 1.53177 * 109.54609 * 53.07934 * 4 3 2 25 25 C 1.53280 * 109.06177 * 176.85190 * 24 4 3 26 26 O 1.42897 * 109.46353 * 302.44227 * 25 24 4 27 27 C 1.42905 * 114.09335 * 61.15975 * 26 25 24 28 28 C 1.53091 * 109.41584 * 298.83845 * 27 26 25 29 29 H 1.09005 * 109.47147 * 180.02562 * 1 2 3 30 30 H 1.08999 * 109.47077 * 299.99970 * 1 2 3 31 31 H 1.08995 * 109.47450 * 59.99965 * 1 2 3 32 32 H 1.08999 * 109.47219 * 59.99832 * 3 2 1 33 33 H 1.09000 * 109.46800 * 299.99874 * 3 2 1 34 34 H 1.08995 * 109.58973 * 246.15286 * 8 7 5 35 35 H 1.08996 * 109.58519 * 6.58449 * 8 7 5 36 36 H 1.09002 * 109.49433 * 174.58574 * 9 8 7 37 37 H 1.08998 * 109.49762 * 294.65419 * 9 8 7 38 38 H 1.08996 * 109.46095 * 58.65088 * 10 9 8 39 39 H 1.09000 * 109.45841 * 178.62955 * 10 9 8 40 40 H 1.09005 * 109.49574 * 301.41280 * 11 10 9 41 41 H 1.09003 * 109.49527 * 181.31693 * 11 10 9 42 42 H 1.09004 * 109.47184 * 188.91714 * 14 12 7 43 43 H 1.09002 * 109.47332 * 308.91207 * 14 12 7 44 44 H 0.97006 * 119.99849 * 4.98965 * 15 14 12 45 45 H 0.96998 * 119.99457 * 180.02562 * 19 18 16 46 46 H 1.09000 * 109.52367 * 296.84409 * 24 4 3 47 47 H 1.08995 * 109.52296 * 57.02947 * 24 4 3 48 48 H 1.09009 * 109.45231 * 182.44643 * 25 24 4 49 49 H 1.08997 * 109.45680 * 62.44644 * 25 24 4 50 50 H 1.09004 * 109.47876 * 178.86126 * 27 26 25 51 51 H 1.08999 * 109.49163 * 58.83556 * 27 26 25 52 52 H 1.08992 * 109.52731 * 297.70819 * 28 27 26 53 53 H 1.09002 * 109.52127 * 177.51568 * 28 27 26 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 3.9948 0.5937 1.3073 6 8 4.7588 1.2128 2.0173 7 7 3.5567 -0.6227 1.6880 8 6 2.7365 -1.4398 0.7835 9 6 3.3881 -2.8185 0.6374 10 6 3.5937 -3.4308 2.0248 11 6 4.5292 -2.5388 2.8442 12 6 3.8906 -1.1569 3.0154 13 1 2.9831 -1.2452 3.6126 14 6 4.8777 -0.2185 3.7125 15 7 4.2024 1.0368 4.0507 16 6 4.9149 2.0734 4.5919 17 1 5.9748 1.9657 4.7691 18 6 4.2751 3.2631 4.9118 19 7 4.9602 4.2596 5.4316 20 14 2.4421 3.4497 4.6048 21 1 1.6913 3.0108 5.8085 22 1 2.1305 4.8731 4.3186 23 1 2.0472 2.6133 3.4430 24 6 3.9774 0.2800 -1.1550 25 6 5.5089 0.2299 -1.1937 26 8 6.0252 1.5549 -1.3342 27 6 5.6818 2.4319 -0.2595 28 6 4.1592 2.5718 -0.1835 29 1 -0.3634 -1.0277 0.0005 30 1 -0.3633 0.5138 0.8900 31 1 -0.3634 0.5138 -0.8899 32 1 1.6886 1.8465 0.8900 33 1 1.6886 1.8464 -0.8900 34 1 1.7349 -1.5512 1.1987 35 1 2.6782 -0.9579 -0.1925 36 1 2.7405 -3.4661 0.0463 37 1 4.3517 -2.7145 0.1386 38 1 2.6324 -3.5116 2.5321 39 1 4.0349 -4.4222 1.9224 40 1 5.4824 -2.4374 2.3251 41 1 4.6939 -2.9873 3.8240 42 1 5.2456 -0.6901 4.6238 43 1 5.7155 -0.0124 3.0464 44 1 3.2505 1.1337 3.8912 45 1 4.5130 5.0907 5.6555 46 1 3.5816 -0.7241 -1.0029 47 1 3.6025 0.6815 -2.0965 48 1 5.8310 -0.3774 -2.0397 49 1 5.8812 -0.2092 -0.2681 50 1 6.1285 3.4110 -0.4324 51 1 6.0565 2.0219 0.6784 52 1 3.7880 3.0194 -1.1053 53 1 3.8934 3.2051 0.6629 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 ZINC001752827390.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 06:12:20 Heat of formation + Delta-G solvation = -23.876742 kcal Electronic energy + Delta-G solvation = -35075.192363 eV Core-core repulsion = 30951.194731 eV Total energy + Delta-G solvation = -4123.997632 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.87 seconds Orbital eigenvalues (eV) -41.31320 -38.67852 -38.05195 -36.78542 -34.87678 -33.69720 -32.49473 -31.86360 -30.81959 -30.11971 -28.24128 -26.70939 -25.90536 -24.33288 -23.98552 -23.16881 -22.25467 -21.87837 -20.79626 -20.16518 -18.46189 -17.13376 -16.89654 -16.68603 -16.18797 -15.92722 -15.69784 -15.38935 -15.01549 -14.84751 -14.48537 -14.22377 -14.00044 -13.90055 -13.72945 -13.53155 -13.30146 -12.86900 -12.56317 -12.50010 -12.35880 -12.21358 -12.08887 -12.04877 -11.73992 -11.63064 -11.38088 -11.16311 -11.02529 -10.96742 -10.80457 -10.75073 -10.43298 -10.23003 -10.21735 -9.99123 -9.77306 -9.64740 -9.37998 -9.22747 -8.68644 -8.16568 -7.98517 -6.77379 -5.53350 -2.79905 3.19784 3.39316 3.44369 3.46823 3.52437 3.67862 4.09048 4.56342 4.66638 4.76281 4.77745 4.88851 4.91720 4.96273 5.10413 5.12447 5.19514 5.25789 5.31091 5.34943 5.42470 5.49648 5.50992 5.56843 5.59028 5.65106 5.69640 5.71082 5.78193 5.79215 5.86711 5.89964 5.90976 5.99399 6.04964 6.08532 6.12540 6.17027 6.20199 6.29598 6.36379 6.45650 6.46565 6.67981 6.91851 6.95332 7.26741 7.42471 8.01160 8.22417 8.64494 8.93952 9.45268 10.18426 10.39847 11.67100 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.009786 B = 0.006267 C = 0.005575 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2860.497497 B = 4466.893065 C = 5021.579577 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.005 3.995 2 O -0.358 6.358 3 C 0.056 3.944 4 C -0.075 4.075 5 C 0.486 3.514 6 O -0.441 6.441 7 N -0.606 5.606 8 C 0.095 3.905 9 C -0.142 4.142 10 C -0.116 4.116 11 C -0.126 4.126 12 C 0.138 3.862 13 H 0.062 0.938 14 C 0.166 3.834 15 N -0.725 5.725 16 C -0.194 4.194 17 H 0.085 0.915 18 C -0.007 4.007 19 N -0.946 5.946 20 Si 0.880 3.120 21 H -0.291 1.291 22 H -0.296 1.296 23 H -0.284 1.284 24 C -0.160 4.160 25 C 0.063 3.937 26 O -0.388 6.388 27 C 0.053 3.947 28 C -0.126 4.126 29 H 0.083 0.917 30 H 0.041 0.959 31 H 0.039 0.961 32 H 0.058 0.942 33 H 0.057 0.943 34 H 0.063 0.937 35 H 0.146 0.854 36 H 0.066 0.934 37 H 0.061 0.939 38 H 0.060 0.940 39 H 0.058 0.942 40 H 0.066 0.934 41 H 0.071 0.929 42 H 0.015 0.985 43 H 0.054 0.946 44 H 0.353 0.647 45 H 0.253 0.747 46 H 0.103 0.897 47 H 0.075 0.925 48 H 0.089 0.911 49 H 0.050 0.950 50 H 0.091 0.909 51 H 0.087 0.913 52 H 0.069 0.931 53 H 0.086 0.914 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -7.397 -14.761 -16.344 23.232 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 -0.091 4.091 2 O -0.279 6.279 3 C -0.020 4.020 4 C -0.078 4.078 5 C 0.270 3.730 6 O -0.310 6.310 7 N -0.343 5.343 8 C -0.026 4.026 9 C -0.181 4.181 10 C -0.154 4.154 11 C -0.165 4.165 12 C 0.034 3.966 13 H 0.080 0.920 14 C 0.039 3.961 15 N -0.369 5.369 16 C -0.325 4.325 17 H 0.103 0.897 18 C -0.200 4.200 19 N -0.597 5.597 20 Si 0.713 3.287 21 H -0.219 1.219 22 H -0.223 1.223 23 H -0.211 1.211 24 C -0.197 4.197 25 C -0.015 4.015 26 O -0.307 6.307 27 C -0.023 4.023 28 C -0.164 4.164 29 H 0.102 0.898 30 H 0.059 0.941 31 H 0.057 0.943 32 H 0.076 0.924 33 H 0.075 0.925 34 H 0.081 0.919 35 H 0.162 0.838 36 H 0.084 0.916 37 H 0.080 0.920 38 H 0.078 0.922 39 H 0.077 0.923 40 H 0.084 0.916 41 H 0.089 0.911 42 H 0.032 0.968 43 H 0.072 0.928 44 H 0.185 0.815 45 H 0.063 0.937 46 H 0.120 0.880 47 H 0.094 0.906 48 H 0.107 0.893 49 H 0.069 0.931 50 H 0.109 0.891 51 H 0.105 0.895 52 H 0.088 0.912 53 H 0.105 0.895 Dipole moment (debyes) X Y Z Total from point charges -6.546 -14.354 -15.997 22.467 hybrid contribution -2.159 0.421 0.023 2.200 sum -8.705 -13.933 -15.973 22.914 Atomic orbital electron populations 1.22853 0.83735 1.02448 1.00058 1.88993 1.18362 1.25389 1.95109 1.22590 0.92171 0.86066 1.01157 1.20931 0.94129 0.97632 0.95127 1.20135 0.84154 0.81457 0.87222 1.91108 1.31003 1.59238 1.49607 1.47774 1.53658 1.17208 1.15693 1.22798 0.92809 0.89787 0.97171 1.22121 1.01190 0.97505 0.97241 1.21481 0.99741 0.98256 0.95890 1.21884 0.99087 0.95020 1.00470 1.21499 0.98399 0.93243 0.83415 0.92000 1.20864 0.94636 0.85387 0.95236 1.42588 1.06677 1.12356 1.75235 1.18962 0.93985 0.90860 1.28651 0.89676 1.24517 0.96490 0.96295 1.02705 1.69691 1.34247 1.04607 1.51192 0.86582 0.88386 0.76267 0.77456 1.21895 1.22319 1.21140 1.22813 0.97693 1.01407 0.97785 1.22525 0.92264 0.85040 1.01625 1.87859 1.75154 1.21164 1.46511 1.22838 0.93551 0.94344 0.91567 1.21936 0.97280 0.94429 1.02749 0.89820 0.94058 0.94251 0.92366 0.92519 0.91888 0.83823 0.91583 0.92037 0.92171 0.92304 0.91553 0.91076 0.96751 0.92826 0.81451 0.93666 0.87981 0.90627 0.89269 0.93141 0.89083 0.89548 0.91233 0.89519 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 0.00 0.04 10.69 101.05 1.08 1.12 16 2 O -0.36 -4.00 4.16 -35.23 -0.15 -4.14 16 3 C 0.06 0.73 4.82 37.16 0.18 0.91 16 4 C -0.07 -1.07 0.50 -155.47 -0.08 -1.15 16 5 C 0.49 8.44 4.72 -10.99 -0.05 8.39 16 6 O -0.44 -9.59 7.23 5.56 0.04 -9.55 16 7 N -0.61 -9.18 2.96 -165.35 -0.49 -9.67 16 8 C 0.10 1.10 3.40 -3.71 -0.01 1.09 16 9 C -0.14 -1.38 5.92 -26.61 -0.16 -1.54 16 10 C -0.12 -1.18 5.88 -26.69 -0.16 -1.33 16 11 C -0.13 -1.57 5.36 -26.61 -0.14 -1.72 16 12 C 0.14 2.21 2.93 -67.60 -0.20 2.01 16 13 H 0.06 1.03 8.14 -51.93 -0.42 0.60 16 14 C 0.17 3.41 4.87 -4.04 -0.02 3.39 16 15 N -0.72 -17.99 3.10 -59.91 -0.19 -18.18 16 16 C -0.19 -5.72 9.64 -15.06 -0.15 -5.87 16 17 H 0.09 2.73 8.06 -52.49 -0.42 2.31 16 18 C -0.01 -0.21 5.50 -17.43 -0.10 -0.31 16 19 N -0.95 -31.06 13.97 55.49 0.78 -30.29 16 20 Si 0.88 23.40 27.74 -169.99 -4.71 18.69 16 21 H -0.29 -7.74 7.11 56.52 0.40 -7.34 16 22 H -0.30 -7.98 7.11 56.52 0.40 -7.58 16 23 H -0.28 -7.17 6.52 56.52 0.37 -6.80 16 24 C -0.16 -1.87 4.52 -26.49 -0.12 -1.99 16 25 C 0.06 0.81 6.62 37.30 0.25 1.06 16 26 O -0.39 -6.01 10.77 -35.23 -0.38 -6.39 16 27 C 0.05 0.87 6.55 37.20 0.24 1.12 16 28 C -0.13 -1.95 4.56 -26.59 -0.12 -2.07 16 29 H 0.08 0.60 8.14 -51.93 -0.42 0.17 16 30 H 0.04 0.41 8.14 -51.93 -0.42 -0.01 16 31 H 0.04 0.31 8.14 -51.93 -0.42 -0.12 16 32 H 0.06 0.91 8.13 -51.93 -0.42 0.49 16 33 H 0.06 0.63 8.14 -51.93 -0.42 0.21 16 34 H 0.06 0.75 6.89 -51.93 -0.36 0.39 16 35 H 0.15 1.59 1.53 -56.87 -0.09 1.50 16 36 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 37 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 38 H 0.06 0.61 8.14 -51.93 -0.42 0.18 16 39 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 40 H 0.07 0.86 8.14 -51.93 -0.42 0.44 16 41 H 0.07 0.84 8.14 -51.93 -0.42 0.42 16 42 H 0.01 0.31 8.13 -51.93 -0.42 -0.11 16 43 H 0.05 1.20 6.34 -51.93 -0.33 0.87 16 44 H 0.35 8.83 5.34 -40.82 -0.22 8.61 16 45 H 0.25 7.98 8.31 -40.82 -0.34 7.64 16 46 H 0.10 1.07 4.23 -51.93 -0.22 0.85 16 47 H 0.08 0.81 8.14 -51.93 -0.42 0.39 16 48 H 0.09 0.94 8.14 -51.92 -0.42 0.52 16 49 H 0.05 0.73 7.38 -51.93 -0.38 0.35 16 50 H 0.09 1.40 8.14 -51.93 -0.42 0.98 16 51 H 0.09 1.69 5.77 -51.93 -0.30 1.39 16 52 H 0.07 0.92 8.14 -51.93 -0.42 0.50 16 53 H 0.09 1.57 8.04 -51.93 -0.42 1.15 16 LS Contribution 377.41 15.07 5.69 5.69 Total: -1.00 -34.30 377.41 -8.05 -42.35 By element: Atomic # 1 Polarization: 17.47 SS G_CDS: -9.09 Total: 8.38 kcal Atomic # 6 Polarization: 2.66 SS G_CDS: 0.45 Total: 3.11 kcal Atomic # 7 Polarization: -58.23 SS G_CDS: 0.10 Total: -58.13 kcal Atomic # 8 Polarization: -19.60 SS G_CDS: -0.49 Total: -20.09 kcal Atomic # 14 Polarization: 23.40 SS G_CDS: -4.71 Total: 18.69 kcal Total LS contribution 5.69 Total: 5.69 kcal Total: -34.30 -8.05 -42.35 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. ZINC001752827390.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 18.474 kcal (2) G-P(sol) polarization free energy of solvation -34.298 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -15.824 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.053 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.351 kcal (6) G-S(sol) free energy of system = (1) + (5) -23.877 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.87 seconds