Wall clock time and date at job start Sat Apr 11 2020 06:12:00 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 1.53000 * 1 3 3 C 1.50701 * 109.46938 * 2 1 4 4 N 1.30292 * 126.34861 * 82.42233 * 3 2 1 5 5 N 1.28527 * 110.05062 * 180.02562 * 4 3 2 6 6 C 1.31219 * 109.86510 * 359.97438 * 5 4 3 7 7 N 1.38574 * 126.47853 * 179.97438 * 6 5 4 8 8 C 1.46902 * 110.99770 * 107.03764 * 7 6 5 9 9 C 1.46901 * 110.99956 * 343.08713 * 7 6 5 10 10 H 1.09000 * 109.46996 * 309.99650 * 9 7 6 11 11 C 1.53005 * 109.47215 * 69.99470 * 9 7 6 12 12 C 1.50701 * 109.47197 * 189.99746 * 9 7 6 13 13 H 1.08003 * 119.99741 * 354.24258 * 12 9 7 14 14 C 1.37874 * 120.00161 * 174.24843 * 12 9 7 15 15 N 1.31515 * 120.00446 * 159.64257 * 14 12 9 16 16 Si 1.86803 * 120.00019 * 339.64419 * 14 12 9 17 17 H 1.48492 * 109.47377 * 180.02562 * 16 14 12 18 18 H 1.48508 * 109.46852 * 299.99923 * 16 14 12 19 19 H 1.48498 * 109.47329 * 59.99872 * 16 14 12 20 20 N 1.36455 * 107.04928 * 0.22761 * 6 5 4 21 21 C 1.46501 * 127.13341 * 179.77011 * 20 6 5 22 22 C 1.53004 * 109.47038 * 275.32426 * 21 20 6 23 23 C 1.52994 * 109.47062 * 57.31177 * 22 21 20 24 24 O 1.42901 * 109.47551 * 297.30961 * 22 21 20 25 25 C 1.53006 * 109.46848 * 177.31291 * 22 21 20 26 26 C 1.53002 * 109.47250 * 185.00246 * 25 22 21 27 27 O 1.42897 * 109.47136 * 180.02562 * 26 25 22 28 28 C 1.42896 * 113.99674 * 180.02562 * 27 26 25 29 29 H 1.09005 * 109.47268 * 184.24250 * 1 2 3 30 30 H 1.09003 * 109.47468 * 304.23544 * 1 2 3 31 31 H 1.09000 * 109.47607 * 64.23757 * 1 2 3 32 32 H 1.08997 * 109.47063 * 239.99646 * 2 1 3 33 33 H 1.09006 * 109.46892 * 119.99496 * 2 1 3 34 34 H 1.09006 * 109.46997 * 300.83188 * 8 7 6 35 35 H 1.08999 * 109.47481 * 60.83166 * 8 7 6 36 36 H 1.09003 * 109.47304 * 180.83754 * 8 7 6 37 37 H 1.08998 * 109.47107 * 295.13476 * 11 9 7 38 38 H 1.09002 * 109.46840 * 55.13709 * 11 9 7 39 39 H 1.09000 * 109.47080 * 175.13250 * 11 9 7 40 40 H 0.97006 * 119.99319 * 354.93600 * 15 14 12 41 41 H 1.08995 * 109.47479 * 35.32611 * 21 20 6 42 42 H 1.09007 * 109.46676 * 155.32728 * 21 20 6 43 43 H 1.08999 * 109.46903 * 60.00163 * 23 22 21 44 44 H 1.08998 * 109.46971 * 179.97438 * 23 22 21 45 45 H 1.08996 * 109.47342 * 299.99822 * 23 22 21 46 46 H 0.96707 * 113.99646 * 302.40483 * 24 22 21 47 47 H 1.08998 * 109.47090 * 304.99991 * 25 22 21 48 48 H 1.08996 * 109.47150 * 65.00071 * 25 22 21 49 49 H 1.09007 * 109.46951 * 300.00105 * 26 25 22 50 50 H 1.09000 * 109.46746 * 59.99640 * 26 25 22 51 51 H 1.08998 * 109.47766 * 59.99486 * 28 27 26 52 52 H 1.08998 * 109.47241 * 179.97438 * 28 27 26 53 53 H 1.09006 * 109.47176 * 299.99816 * 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 6 1.5300 0.0000 0.0000 3 6 2.0323 1.4208 0.0000 4 7 2.1592 2.1950 1.0402 5 7 2.6147 3.3425 0.6826 6 6 2.8049 3.3618 -0.6156 7 7 3.2854 4.4258 -1.3620 8 6 4.6632 4.1772 -1.8068 9 6 3.1948 5.6824 -0.6065 10 1 2.1898 5.7892 -0.1982 11 6 4.2108 5.6642 0.5374 12 6 3.4905 6.8419 -1.5226 13 1 3.8131 6.6598 -2.5372 14 6 3.3495 8.1350 -1.0656 15 7 3.9647 9.1209 -1.6813 16 14 2.2844 8.4867 0.4282 17 1 2.2971 9.9440 0.7131 18 1 0.8917 8.0479 0.1575 19 1 2.8170 7.7479 1.6010 20 7 2.4348 2.1380 -1.0924 21 6 2.4648 1.6857 -2.4855 22 6 1.1808 2.1251 -3.1921 23 6 1.0400 3.6455 -3.0952 24 8 0.0564 1.5019 -2.5681 25 6 1.2414 1.7113 -4.6639 26 6 0.0160 2.2585 -5.3985 27 8 0.0723 1.8715 -6.7730 28 6 -1.0317 2.3349 -7.5529 29 1 -0.3634 -1.0249 0.0760 30 1 -0.3634 0.5782 0.8496 31 1 -0.3634 0.4466 -0.9255 32 1 1.8933 -0.5139 -0.8899 33 1 1.8933 -0.5138 0.8901 34 1 5.3039 4.0266 -0.9379 35 1 4.6873 3.2865 -2.4346 36 1 5.0210 5.0340 -2.3778 37 1 3.9460 4.8795 1.2461 38 1 5.2058 5.4711 0.1365 39 1 4.2044 6.6290 1.0445 40 1 4.5754 8.9312 -2.4107 41 1 3.3256 2.1230 -2.9911 42 1 2.5408 0.5986 -2.5129 43 1 1.8976 4.1208 -3.5713 44 1 0.1255 3.9585 -3.5990 45 1 0.9968 3.9403 -2.0468 46 1 0.0967 0.5357 -2.5597 47 1 2.1469 2.1142 -5.1176 48 1 1.2522 0.6237 -4.7354 49 1 -0.8896 1.8556 -4.9448 50 1 0.0053 3.3461 -5.3270 51 1 -1.0636 3.4241 -7.5265 52 1 -0.9144 2.0001 -8.5836 53 1 -1.9592 1.9343 -7.1438 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 ZINC001401445796.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 06:12:00 Heat of formation + Delta-G solvation = 2.390965 kcal Electronic energy + Delta-G solvation = -32887.088359 eV Core-core repulsion = 28796.522531 eV Total energy + Delta-G solvation = -4090.565827 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.82 seconds Orbital eigenvalues (eV) -42.68538 -39.21215 -37.68281 -37.57005 -34.54041 -34.05048 -32.87401 -32.46717 -29.65357 -29.21503 -28.70218 -27.40942 -26.49633 -25.55536 -24.80339 -23.83949 -23.49733 -21.58674 -20.66221 -20.14400 -19.28002 -17.49770 -17.21506 -16.97949 -16.46840 -16.32946 -15.74657 -15.50212 -15.26592 -15.05293 -14.68401 -14.34655 -14.24327 -13.90846 -13.66808 -13.48148 -13.38290 -12.66832 -12.48975 -12.35312 -12.30793 -12.03368 -11.99979 -11.82311 -11.76464 -11.57894 -11.56149 -11.45236 -11.34886 -11.19616 -11.06870 -10.98524 -10.94522 -10.51317 -10.33782 -10.00755 -9.83570 -9.81634 -9.68331 -9.57974 -9.02089 -8.83288 -8.23366 -7.59249 -6.49689 -4.09080 2.12017 2.52882 3.29474 3.45981 3.47241 3.51425 3.66574 3.91748 4.33878 4.36373 4.43779 4.46992 4.51705 4.73097 4.74166 4.82451 4.97782 5.04123 5.10472 5.18110 5.19226 5.22232 5.30725 5.32501 5.39031 5.42375 5.53424 5.62210 5.68223 5.69226 5.76547 5.87554 5.95726 5.99062 6.10385 6.13139 6.23532 6.26995 6.38121 6.47238 6.64532 6.72046 6.80974 6.88141 6.91508 7.18869 7.23663 7.36171 7.61836 7.72015 8.21902 8.37570 8.88014 9.25849 9.55234 10.89899 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.009215 B = 0.004541 C = 0.003435 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3037.775446 B = 6164.334890 C = 8149.621585 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.157 4.157 2 C -0.026 4.026 3 C 0.165 3.835 4 N -0.291 5.291 5 N -0.321 5.321 6 C 0.377 3.623 7 N -0.443 5.443 8 C 0.036 3.964 9 C 0.207 3.793 10 H 0.039 0.961 11 C -0.187 4.187 12 C -0.595 4.595 13 H 0.066 0.934 14 C 0.043 3.957 15 N -0.899 5.899 16 Si 1.030 2.970 17 H -0.285 1.285 18 H -0.283 1.283 19 H -0.272 1.272 20 N -0.472 5.472 21 C 0.089 3.911 22 C 0.122 3.878 23 C -0.135 4.135 24 O -0.544 6.544 25 C -0.137 4.137 26 C 0.064 3.936 27 O -0.397 6.397 28 C 0.033 3.967 29 H 0.060 0.940 30 H 0.063 0.937 31 H 0.074 0.926 32 H 0.071 0.929 33 H 0.091 0.909 34 H 0.035 0.965 35 H 0.045 0.955 36 H 0.095 0.905 37 H 0.057 0.943 38 H 0.040 0.960 39 H 0.057 0.943 40 H 0.268 0.732 41 H 0.104 0.896 42 H 0.091 0.909 43 H 0.086 0.914 44 H 0.058 0.942 45 H 0.074 0.926 46 H 0.368 0.632 47 H 0.084 0.916 48 H 0.073 0.927 49 H 0.055 0.945 50 H 0.059 0.941 51 H 0.042 0.958 52 H 0.084 0.916 53 H 0.040 0.960 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -6.202 -20.671 -7.434 22.826 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 -0.215 4.215 2 C -0.066 4.066 3 C -0.103 4.103 4 N -0.130 5.130 5 N -0.164 5.164 6 C 0.021 3.979 7 N -0.167 5.167 8 C -0.112 4.112 9 C 0.101 3.899 10 H 0.057 0.943 11 C -0.246 4.246 12 C -0.633 4.633 13 H 0.084 0.916 14 C -0.163 4.163 15 N -0.532 5.532 16 Si 0.858 3.142 17 H -0.211 1.211 18 H -0.209 1.209 19 H -0.198 1.198 20 N -0.167 5.167 21 C -0.036 4.036 22 C 0.081 3.919 23 C -0.192 4.192 24 O -0.351 6.351 25 C -0.176 4.176 26 C -0.013 4.013 27 O -0.316 6.316 28 C -0.064 4.064 29 H 0.079 0.921 30 H 0.082 0.918 31 H 0.093 0.907 32 H 0.089 0.911 33 H 0.109 0.891 34 H 0.054 0.946 35 H 0.064 0.936 36 H 0.114 0.886 37 H 0.076 0.924 38 H 0.059 0.941 39 H 0.076 0.924 40 H 0.078 0.922 41 H 0.122 0.878 42 H 0.109 0.891 43 H 0.104 0.896 44 H 0.077 0.923 45 H 0.093 0.907 46 H 0.216 0.784 47 H 0.103 0.897 48 H 0.091 0.909 49 H 0.073 0.927 50 H 0.077 0.923 51 H 0.061 0.939 52 H 0.103 0.897 53 H 0.059 0.941 Dipole moment (debyes) X Y Z Total from point charges -7.131 -18.363 -5.479 20.446 hybrid contribution 1.059 -2.068 -1.835 2.960 sum -6.071 -20.431 -7.313 22.533 Atomic orbital electron populations 1.21979 0.93551 1.01826 1.04152 1.19836 0.96774 0.86712 1.03243 1.24489 1.05039 0.97650 0.83101 1.73926 1.16441 0.98366 1.24256 1.74772 1.20688 1.13540 1.07438 1.23144 1.00323 0.85390 0.89012 1.59391 1.20700 0.99675 1.36952 1.22385 0.87321 1.01781 0.99674 1.19628 0.95640 0.83654 0.90935 0.94275 1.22887 0.99880 1.01854 1.00017 1.21836 1.51648 0.90345 0.99502 0.91625 1.25539 0.96793 0.92088 1.01882 1.70878 1.25156 1.34295 1.22861 0.84252 0.77070 0.76168 0.76754 1.21104 1.20918 1.19753 1.45973 1.50534 1.12291 1.07928 1.22516 1.00671 1.00562 0.79822 1.21592 0.84745 0.96123 0.89448 1.21867 1.02819 0.89790 1.04766 1.86771 1.43949 1.23481 1.80937 1.22069 0.99451 1.01722 0.94343 1.22520 0.98107 0.99420 0.81211 1.87817 1.45797 1.77101 1.20864 1.22720 0.89020 0.98840 0.95811 0.92122 0.91799 0.90702 0.91091 0.89086 0.94600 0.93598 0.88637 0.92445 0.94067 0.92448 0.92167 0.87785 0.89058 0.89564 0.92294 0.90686 0.78355 0.89710 0.90868 0.92651 0.92324 0.93891 0.89739 0.94149 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 -0.16 -1.43 9.87 37.16 0.37 -1.06 16 2 C -0.03 -0.25 6.37 -27.88 -0.18 -0.43 16 3 C 0.16 2.50 7.32 -154.02 -1.13 1.37 16 4 N -0.29 -5.67 12.18 32.99 0.40 -5.27 16 5 N -0.32 -6.95 9.29 30.31 0.28 -6.67 16 6 C 0.38 7.25 4.89 -318.88 -1.56 5.69 16 7 N -0.44 -8.87 3.13 -176.07 -0.55 -9.42 16 8 C 0.04 0.63 8.57 60.07 0.51 1.15 16 9 C 0.21 4.95 1.62 -68.86 -0.11 4.83 16 10 H 0.04 1.02 6.61 -51.93 -0.34 0.68 16 11 C -0.19 -4.37 8.22 37.16 0.31 -4.06 16 12 C -0.60 -15.83 8.26 -34.44 -0.28 -16.12 16 13 H 0.07 1.83 7.16 -52.48 -0.38 1.45 16 14 C 0.04 1.22 5.26 -17.82 -0.09 1.12 16 15 N -0.90 -26.68 13.70 55.43 0.76 -25.92 16 16 Si 1.03 25.55 26.38 -169.99 -4.48 21.07 16 17 H -0.29 -7.08 7.11 56.52 0.40 -6.68 16 18 H -0.28 -6.88 7.11 56.52 0.40 -6.47 16 19 H -0.27 -6.47 5.91 56.52 0.33 -6.13 16 20 N -0.47 -7.09 2.49 -114.08 -0.28 -7.37 16 21 C 0.09 0.96 5.21 -4.04 -0.02 0.94 16 22 C 0.12 1.33 0.86 -90.62 -0.08 1.25 16 23 C -0.14 -2.01 7.09 37.15 0.26 -1.75 16 24 O -0.54 -5.77 10.54 -35.23 -0.37 -6.14 16 25 C -0.14 -1.26 4.87 -26.73 -0.13 -1.39 16 26 C 0.06 0.66 5.35 37.16 0.20 0.86 16 27 O -0.40 -4.37 10.70 -35.23 -0.38 -4.75 16 28 C 0.03 0.27 11.01 101.05 1.11 1.38 16 29 H 0.06 0.40 8.14 -51.93 -0.42 -0.02 16 30 H 0.06 0.73 8.14 -51.93 -0.42 0.31 16 31 H 0.07 0.69 4.19 -51.93 -0.22 0.47 16 32 H 0.07 0.50 6.98 -51.93 -0.36 0.13 16 33 H 0.09 0.85 8.14 -51.93 -0.42 0.43 16 34 H 0.04 0.65 6.40 -51.93 -0.33 0.32 16 35 H 0.05 0.66 6.19 -51.93 -0.32 0.33 16 36 H 0.10 1.81 6.63 -51.93 -0.34 1.47 16 37 H 0.06 1.33 5.89 -51.93 -0.31 1.02 16 38 H 0.04 0.91 6.15 -51.93 -0.32 0.59 16 39 H 0.06 1.39 5.17 -51.93 -0.27 1.12 16 40 H 0.27 7.86 8.73 -40.82 -0.36 7.51 16 41 H 0.10 1.12 6.14 -51.93 -0.32 0.80 16 42 H 0.09 0.68 6.98 -51.93 -0.36 0.32 16 43 H 0.09 1.34 7.88 -51.93 -0.41 0.93 16 44 H 0.06 0.84 6.34 -51.93 -0.33 0.51 16 45 H 0.07 1.41 5.84 -51.93 -0.30 1.11 16 46 H 0.37 2.53 7.54 45.56 0.34 2.88 16 47 H 0.08 0.79 8.14 -51.93 -0.42 0.37 16 48 H 0.07 0.55 8.14 -51.93 -0.42 0.12 16 49 H 0.06 0.56 7.82 -51.92 -0.41 0.15 16 50 H 0.06 0.66 6.34 -51.93 -0.33 0.33 16 51 H 0.04 0.35 8.14 -51.93 -0.42 -0.08 16 52 H 0.08 0.57 8.14 -51.93 -0.42 0.14 16 53 H 0.04 0.30 8.14 -51.93 -0.42 -0.13 16 LS Contribution 393.42 15.07 5.93 5.93 Total: -1.00 -33.33 393.42 -7.43 -40.75 By element: Atomic # 1 Polarization: 11.90 SS G_CDS: -7.91 Total: 3.99 kcal Atomic # 6 Polarization: -5.39 SS G_CDS: -0.82 Total: -6.21 kcal Atomic # 7 Polarization: -55.25 SS G_CDS: 0.61 Total: -54.65 kcal Atomic # 8 Polarization: -10.14 SS G_CDS: -0.75 Total: -10.89 kcal Atomic # 14 Polarization: 25.55 SS G_CDS: -4.48 Total: 21.07 kcal Total LS contribution 5.93 Total: 5.93 kcal Total: -33.33 -7.43 -40.75 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. ZINC001401445796.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 43.144 kcal (2) G-P(sol) polarization free energy of solvation -33.327 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 9.817 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.426 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.753 kcal (6) G-S(sol) free energy of system = (1) + (5) 2.391 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.82 seconds