Wall clock time and date at job start Mon Mar 8 2021 10:49:44 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= 0 * 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 1.52994 * 1 3 3 C 1.53003 * 109.47603 * 2 1 4 4 C 1.53001 * 109.47593 * 239.99629 * 2 1 3 5 5 O 1.42904 * 109.47166 * 119.99764 * 2 1 3 6 6 C 1.42900 * 114.00076 * 64.21521 * 5 2 1 7 7 H 1.09007 * 109.46862 * 354.25781 * 6 5 2 8 8 C 1.53002 * 109.47048 * 114.25454 * 6 5 2 9 9 C 1.52998 * 109.46905 * 180.02562 * 8 6 5 10 10 C 1.53005 * 109.47294 * 300.00303 * 9 8 6 11 11 H 1.09000 * 109.46675 * 300.00143 * 10 9 8 12 12 N 1.46497 * 109.46945 * 180.02562 * 10 9 8 13 13 S 1.65596 * 120.00319 * 94.99901 * 12 10 9 14 14 O 1.42103 * 106.40270 * 311.46192 * 13 12 10 15 15 O 1.42101 * 106.40563 * 178.53449 * 13 12 10 16 16 C 1.76198 * 107.21843 * 64.99695 * 13 12 10 17 17 C 1.38239 * 120.00259 * 90.00124 * 16 13 12 18 18 C 1.38231 * 120.00096 * 180.25735 * 17 16 13 19 19 C 1.38233 * 120.00117 * 359.53457 * 18 17 16 20 20 C 1.50697 * 119.99863 * 180.21129 * 19 18 17 21 21 O 1.42903 * 109.47377 * 120.20862 * 20 19 18 22 22 Si 1.86298 * 109.47408 * 0.20977 * 20 19 18 23 23 C 1.38226 * 119.99976 * 0.42089 * 19 18 17 24 24 C 1.38230 * 120.00184 * 269.98008 * 16 13 12 25 25 C 1.52994 * 109.47038 * 60.00260 * 10 9 8 26 26 C 1.52997 * 109.47429 * 234.26127 * 6 5 2 27 27 H 1.09005 * 109.47492 * 300.00242 * 1 2 3 28 28 H 1.09008 * 109.46960 * 60.00075 * 1 2 3 29 29 H 1.08996 * 109.47716 * 179.97438 * 1 2 3 30 30 H 1.08996 * 109.47359 * 179.97438 * 3 2 1 31 31 H 1.08998 * 109.46979 * 300.00160 * 3 2 1 32 32 H 1.09005 * 109.46894 * 59.99391 * 3 2 1 33 33 H 1.09003 * 109.46502 * 306.12500 * 4 2 1 34 34 H 1.09003 * 109.46782 * 66.11510 * 4 2 1 35 35 H 1.08997 * 109.47577 * 186.11908 * 4 2 1 36 36 H 1.08997 * 109.47385 * 300.00586 * 8 6 5 37 37 H 1.09000 * 109.46451 * 60.00752 * 8 6 5 38 38 H 1.09001 * 109.47134 * 180.02562 * 9 8 6 39 39 H 1.09000 * 109.47376 * 60.00017 * 9 8 6 40 40 H 0.97001 * 119.99816 * 275.00000 * 12 10 9 41 41 H 1.08006 * 119.99562 * 359.97438 * 17 16 13 42 42 H 1.08004 * 119.99508 * 179.72110 * 18 17 16 43 43 H 1.09005 * 109.47107 * 240.21080 * 20 19 18 44 44 H 0.96696 * 114.00147 * 300.00717 * 21 20 19 45 45 H 1.48497 * 110.00193 * 179.97438 * 22 20 19 46 46 H 1.48502 * 110.00112 * 301.31864 * 22 20 19 47 47 H 1.08005 * 120.00271 * 179.79197 * 23 19 18 48 48 H 1.08000 * 120.00357 * 0.02562 * 24 16 13 49 49 H 1.08993 * 109.47431 * 59.99962 * 25 10 9 50 50 H 1.08997 * 109.47030 * 179.97438 * 25 10 9 51 51 H 1.09001 * 109.47215 * 59.99565 * 26 6 5 52 52 H 1.09007 * 109.46816 * 299.99682 * 26 6 5 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 1.5299 0.0000 0.0000 3 6 2.0401 1.4425 0.0000 4 6 2.0401 -0.7213 -1.2492 5 8 2.0063 -0.6736 1.1668 6 6 1.6647 -2.0602 1.2177 7 1 1.0085 -2.3036 0.3819 8 6 2.9386 -2.9029 1.1282 9 6 2.5727 -4.3876 1.1819 10 6 1.8536 -4.6883 2.4986 11 1 2.5096 -4.4452 3.3345 12 7 1.5039 -6.1100 2.5503 13 16 2.5093 -7.1829 3.3120 14 8 3.8178 -6.9239 2.8220 15 8 1.8825 -8.4549 3.2201 16 6 2.5256 -6.7587 5.0220 17 6 1.6050 -7.3255 5.8836 18 6 1.6144 -6.9886 7.2242 19 6 2.5504 -6.0923 7.7051 20 6 2.5636 -5.7287 9.1675 21 8 3.8275 -6.0799 9.7344 22 14 1.2087 -6.6542 10.0498 23 6 3.4714 -5.5262 6.8439 24 6 3.4591 -5.8594 5.5023 25 6 0.5798 -3.8456 2.5880 26 6 0.9459 -2.3605 2.5345 27 1 -0.3634 0.5139 0.8900 28 1 -0.3633 0.5139 -0.8901 29 1 -0.3634 -1.0276 -0.0005 30 1 3.1300 1.4424 0.0005 31 1 1.6768 1.9563 -0.8900 32 1 1.6767 1.9564 0.8900 33 1 1.5899 -1.7125 -1.3056 34 1 1.7689 -0.1482 -2.1358 35 1 3.1245 -0.8171 -1.1961 36 1 3.4506 -2.6890 0.1900 37 1 3.5946 -2.6595 1.9639 38 1 3.4803 -4.9879 1.1186 39 1 1.9168 -4.6307 0.3460 40 1 0.6833 -6.4228 2.1383 41 1 0.8756 -8.0281 5.5084 42 1 0.8923 -7.4281 7.8964 43 1 2.4017 -4.6563 9.2768 44 1 4.0382 -7.0216 9.6725 45 1 1.2115 -6.3048 11.4931 46 1 -0.1080 -6.3219 9.4489 47 1 4.2006 -4.8232 7.2190 48 1 4.1782 -5.4164 4.8292 49 1 -0.0761 -4.0887 1.7521 50 1 0.0673 -4.0602 3.5257 51 1 0.0384 -1.7601 2.5982 52 1 1.6020 -2.1171 3.3702 There are 67 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 67 No. of singly occupied orbitals= 1 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). S: (AM1): M.J.S. DEWAR, Y.-C. YUAN, INORGANIC CHEM., 29, 589 (1990) 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=0 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 s_40_15739438_13421422.mol2 52 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Mon Mar 8 2021 10:49:44 Heat of formation + Delta-G solvation = -136.324432 kcal Electronic energy + Delta-G solvation = -33021.500000 eV Core-core repulsion = 28693.033485 eV Total energy + Delta-G solvation = -4328.466515 eV No. of doubly occupied orbitals = 67 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 370.169 amu Computer time = 2.79 seconds Orbital eigenvalues (eV) -40.89915 -40.75866 -38.98654 -38.17769 -37.80092 -36.85836 -35.37287 -33.56434 -33.09485 -32.27816 -31.95254 -29.29376 -28.35715 -28.12116 -27.31187 -24.20735 -23.78903 -23.36344 -23.06404 -21.35194 -20.91486 -20.50313 -19.26499 -18.59337 -18.28359 -17.63331 -17.53835 -17.08615 -16.70164 -16.44176 -16.05314 -15.98174 -15.82717 -15.61586 -15.31442 -14.92170 -14.82036 -14.70306 -14.50714 -14.42700 -14.26057 -14.07221 -13.85021 -13.56432 -13.43586 -13.25826 -13.19026 -13.08563 -13.02720 -12.90093 -12.76723 -12.71831 -12.70686 -12.46797 -12.38313 -12.30274 -12.22220 -11.99957 -11.90685 -11.70388 -11.50096 -11.19018 -10.74504 -10.66407 -10.39752 -10.33208 -10.22398 -5.17503 -0.73713 -0.40404 0.10823 1.10180 1.47991 1.81772 1.84729 2.27396 2.61225 2.72111 3.22349 3.23974 3.39643 3.45523 3.59478 3.66367 3.71496 3.79711 3.84608 3.91036 3.92097 4.04168 4.07420 4.09632 4.10665 4.19630 4.25499 4.28820 4.34793 4.38039 4.50613 4.52083 4.54567 4.61482 4.68687 4.71593 4.73275 4.79642 4.85048 4.86839 4.89304 4.90253 4.96753 5.00929 5.04593 5.08717 5.14189 5.15971 5.24995 5.25981 5.28716 5.36150 5.61144 5.82368 6.37665 6.38193 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.177 4.177 2 C 0.106 3.894 3 C -0.139 4.139 4 C -0.180 4.180 5 O -0.369 6.369 6 C 0.084 3.916 7 H 0.069 0.931 8 C -0.130 4.130 9 C -0.137 4.137 10 C 0.153 3.847 11 H 0.086 0.914 12 N -1.112 6.112 13 S 2.692 3.308 14 O -0.949 6.949 15 O -0.955 6.955 16 C -0.675 4.675 17 C -0.012 4.012 18 C -0.139 4.139 19 C -0.063 4.063 20 C -0.078 4.078 21 O -0.535 6.535 22 Si 0.691 3.309 23 C -0.113 4.113 24 C -0.021 4.021 25 C -0.123 4.123 26 C -0.124 4.124 27 H 0.064 0.936 28 H 0.066 0.934 29 H 0.058 0.942 30 H 0.064 0.936 31 H 0.070 0.930 32 H 0.063 0.937 33 H 0.059 0.941 34 H 0.067 0.933 35 H 0.066 0.934 36 H 0.073 0.927 37 H 0.073 0.927 38 H 0.085 0.915 39 H 0.071 0.929 40 H 0.420 0.580 41 H 0.145 0.855 42 H 0.137 0.863 43 H 0.120 0.880 44 H 0.381 0.619 45 H -0.251 1.251 46 H -0.255 1.255 47 H 0.138 0.862 48 H 0.143 0.857 49 H 0.073 0.927 50 H 0.075 0.925 51 H 0.072 0.928 52 H 0.073 0.927 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.199 1.240 -0.344 3.448 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 -0.235 4.235 2 C 0.067 3.933 3 C -0.196 4.196 4 C -0.237 4.237 5 O -0.289 6.289 6 C 0.027 3.973 7 H 0.087 0.913 8 C -0.168 4.168 9 C -0.177 4.177 10 C 0.046 3.954 11 H 0.104 0.896 12 N -0.871 5.871 13 S 2.782 3.218 14 O -0.939 6.939 15 O -0.946 6.946 16 C -0.762 4.762 17 C -0.031 4.031 18 C -0.157 4.157 19 C -0.064 4.064 20 C -0.188 4.188 21 O -0.341 6.341 22 Si 0.592 3.408 23 C -0.132 4.132 24 C -0.040 4.040 25 C -0.162 4.162 26 C -0.163 4.163 27 H 0.083 0.917 28 H 0.085 0.915 29 H 0.077 0.923 30 H 0.083 0.917 31 H 0.089 0.911 32 H 0.082 0.918 33 H 0.078 0.922 34 H 0.086 0.914 35 H 0.085 0.915 36 H 0.091 0.909 37 H 0.092 0.908 38 H 0.104 0.896 39 H 0.090 0.910 40 H 0.255 0.745 41 H 0.163 0.837 42 H 0.154 0.846 43 H 0.137 0.863 44 H 0.229 0.771 45 H -0.176 1.176 46 H -0.180 1.180 47 H 0.156 0.844 48 H 0.161 0.839 49 H 0.092 0.908 50 H 0.094 0.906 51 H 0.091 0.909 52 H 0.092 0.908 Dipole moment (debyes) X Y Z Total from point charges -3.186 1.408 0.107 3.485 hybrid contribution -0.533 0.662 -0.048 0.851 sum -3.719 2.070 0.059 4.257 Atomic orbital electron populations 1.22464 0.95684 1.02403 1.02939 1.21549 0.93034 0.93280 0.85404 1.21769 1.02053 0.93237 1.02564 1.22528 1.02314 1.00896 0.97997 1.88007 1.77475 1.21331 1.42058 1.22137 0.95741 0.81822 0.97633 0.91278 1.21891 0.97856 0.93517 1.03552 1.22076 1.01842 0.96447 0.97292 1.20875 0.96875 0.78832 0.98830 0.89631 1.55652 1.40145 1.19554 1.71794 1.02010 0.73648 0.72685 0.73481 1.93617 1.37138 1.85004 1.78164 1.93617 1.76740 1.37737 1.86464 1.31015 1.07083 1.12009 1.26066 1.20893 0.94684 0.94627 0.92934 1.21173 0.99525 0.98896 0.96156 1.20752 0.94458 0.94538 0.96606 1.25223 0.95962 1.05819 0.91817 1.86532 1.35631 1.31030 1.80896 0.94590 0.76485 0.90100 0.79607 1.21187 0.98950 1.00302 0.92742 1.21035 0.94319 0.92203 0.96428 1.21822 0.96741 0.94264 1.03343 1.21769 1.01135 0.95126 0.98226 0.91688 0.91475 0.92325 0.91732 0.91114 0.91785 0.92194 0.91423 0.91512 0.90882 0.90780 0.89622 0.91031 0.74506 0.83703 0.84577 0.86270 0.77091 1.17550 1.18016 0.84448 0.83902 0.90836 0.90588 0.90901 0.90786 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 30. 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 -0.18 0.19 8.43 37.15 0.31 0.50 16 2 C 0.11 -0.03 1.11 -90.62 -0.10 -0.13 16 3 C -0.14 0.07 8.84 37.16 0.33 0.40 16 4 C -0.18 0.18 7.80 37.16 0.29 0.47 16 5 O -0.37 -0.40 9.63 -35.23 -0.34 -0.74 16 6 C 0.08 -0.07 1.52 -26.73 -0.04 -0.11 16 7 H 0.07 -0.09 4.94 -51.92 -0.26 -0.35 16 8 C -0.13 0.10 5.55 -26.73 -0.15 -0.05 16 9 C -0.14 0.16 5.53 -26.73 -0.15 0.01 16 10 C 0.15 -0.29 2.65 -67.93 -0.18 -0.47 16 11 H 0.09 -0.19 7.23 -51.93 -0.38 -0.56 16 12 N -1.11 2.07 5.47 -4.89 -0.03 2.05 16 13 S 2.69 2.45 5.65 -107.50 -0.61 1.84 16 14 O -0.95 -3.40 16.54 -57.17 -0.95 -4.34 16 15 O -0.96 -3.45 17.28 -57.17 -0.99 -4.44 16 16 C -0.68 -0.15 5.82 -39.58 -0.23 -0.38 16 17 C -0.01 0.00 9.52 -39.58 -0.38 -0.37 16 18 C -0.14 0.15 8.67 -39.59 -0.34 -0.19 16 19 C -0.06 0.04 5.39 -104.63 -0.56 -0.52 16 20 C -0.08 0.10 2.82 36.00 0.10 0.20 16 21 O -0.54 0.34 12.77 -35.23 -0.45 -0.11 16 22 Si 0.69 -1.34 29.79 -169.99 -5.06 -6.41 16 23 C -0.11 0.03 9.61 -39.58 -0.38 -0.35 16 24 C -0.02 0.00 8.90 -39.58 -0.35 -0.35 16 25 C -0.12 0.33 5.45 -26.71 -0.15 0.19 16 26 C -0.12 0.19 5.58 -26.71 -0.15 0.04 16 27 H 0.06 -0.04 8.14 -51.93 -0.42 -0.46 16 28 H 0.07 -0.11 8.14 -51.92 -0.42 -0.53 16 29 H 0.06 -0.08 6.65 -51.93 -0.35 -0.42 16 30 H 0.06 -0.01 8.14 -51.93 -0.42 -0.43 16 31 H 0.07 -0.12 8.14 -51.93 -0.42 -0.54 16 32 H 0.06 -0.01 8.14 -51.93 -0.42 -0.43 16 33 H 0.06 -0.08 6.63 -51.93 -0.34 -0.42 16 34 H 0.07 -0.11 8.14 -51.93 -0.42 -0.53 16 35 H 0.07 -0.03 7.98 -51.93 -0.41 -0.45 16 36 H 0.07 -0.04 7.63 -51.93 -0.40 -0.44 16 37 H 0.07 -0.02 8.14 -51.93 -0.42 -0.45 16 38 H 0.09 0.01 7.64 -51.93 -0.40 -0.38 16 39 H 0.07 -0.13 8.14 -51.93 -0.42 -0.56 16 40 H 0.42 -1.55 8.84 -34.47 -0.30 -1.85 16 41 H 0.15 -0.26 7.62 -52.48 -0.40 -0.66 16 42 H 0.14 -0.43 4.88 -52.48 -0.26 -0.68 16 43 H 0.12 -0.13 7.96 -51.93 -0.41 -0.54 16 44 H 0.38 -1.65 8.70 45.56 0.40 -1.26 16 45 H -0.25 -0.35 7.11 56.52 0.40 0.06 16 46 H -0.26 -0.03 7.11 56.52 0.40 0.37 16 47 H 0.14 -0.15 8.06 -52.48 -0.42 -0.57 16 48 H 0.14 -0.17 7.62 -52.49 -0.40 -0.57 16 49 H 0.07 -0.25 8.14 -51.93 -0.42 -0.67 16 50 H 0.08 -0.23 8.14 -51.93 -0.42 -0.65 16 51 H 0.07 -0.10 8.14 -51.93 -0.42 -0.53 16 52 H 0.07 -0.07 8.14 -51.92 -0.42 -0.50 16 LS Contribution 414.62 15.07 6.25 6.25 Total: 0.00 -9.12 414.62 -12.90 -22.02 By element: Atomic # 1 Polarization: -6.42 SS G_CDS: -8.60 Total: -15.02 kcal Atomic # 6 Polarization: 1.03 SS G_CDS: -2.13 Total: -1.10 kcal Atomic # 7 Polarization: 2.07 SS G_CDS: -0.03 Total: 2.05 kcal Atomic # 8 Polarization: -6.91 SS G_CDS: -2.72 Total: -9.63 kcal Atomic # 14 Polarization: -1.34 SS G_CDS: -5.06 Total: -6.41 kcal Atomic # 16 Polarization: 2.45 SS G_CDS: -0.61 Total: 1.84 kcal Total LS contribution 6.25 Total: 6.25 kcal Total: -9.12 -12.90 -22.02 kcal The number of atoms in the molecule is 52 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. s_40_15739438_13421422.mol2 52 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 -114.305 kcal (2) G-P(sol) polarization free energy of solvation -9.122 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -123.426 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -12.898 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -22.020 kcal (6) G-S(sol) free energy of system = (1) + (5) -136.324 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 2.79 seconds