Wall clock time and date at job start Tue Mar 9 2021 14:15:22 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 * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS WATER ******************************************************************************* 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 1.45203 * 1 3 3 C 1.34229 * 116.99579 * 2 1 4 4 O 1.20824 * 120.00177 * 0.02562 * 3 2 1 5 5 C 1.50703 * 119.99682 * 179.97438 * 3 2 1 6 6 H 1.09001 * 109.46980 * 299.99944 * 5 3 2 7 7 C 1.53006 * 109.47126 * 59.99713 * 5 3 2 8 8 C 1.52997 * 109.47127 * 179.97438 * 7 5 3 9 9 C 1.53000 * 109.47060 * 300.00449 * 8 7 5 10 10 F 1.39904 * 109.47059 * 299.99554 * 9 8 7 11 11 C 1.53001 * 109.46886 * 180.02562 * 9 8 7 12 12 N 1.46500 * 109.47299 * 179.97438 * 11 9 8 13 13 C 1.34777 * 120.00376 * 179.97438 * 12 11 9 14 14 O 1.21591 * 119.99538 * 359.97438 * 13 12 11 15 15 C 1.47519 * 120.00020 * 179.97438 * 13 12 11 16 16 C 1.39776 * 120.06765 * 179.97438 * 15 13 12 17 17 C 1.37629 * 119.93453 * 179.97438 * 16 15 13 18 18 C 1.50692 * 119.97213 * 179.97438 * 17 16 15 19 19 O 1.42898 * 109.47046 * 255.00571 * 18 17 16 20 20 Si 1.86303 * 109.46891 * 15.00133 * 18 17 16 21 21 C 1.39205 * 120.06569 * 0.02562 * 17 16 15 22 22 N 1.39047 * 119.93044 * 180.02562 * 21 17 16 23 23 C 1.46899 * 111.00057 * 120.00194 * 22 21 17 24 24 C 1.46897 * 110.99634 * 243.94823 * 22 21 17 25 25 C 1.39246 * 120.13682 * 359.97088 * 21 17 16 26 26 C 1.37589 * 120.06912 * 359.77039 * 25 21 17 27 27 C 1.52996 * 109.47328 * 60.00126 * 9 8 7 28 28 C 1.52997 * 109.47084 * 179.97438 * 5 3 2 29 29 H 1.09000 * 109.47246 * 60.00167 * 1 2 3 30 30 H 1.09001 * 109.46940 * 180.02562 * 1 2 3 31 31 H 1.09003 * 109.47120 * 299.99507 * 1 2 3 32 32 H 1.08998 * 109.46505 * 59.99690 * 7 5 3 33 33 H 1.08996 * 109.46884 * 300.00571 * 7 5 3 34 34 H 1.09002 * 109.47153 * 180.02562 * 8 7 5 35 35 H 1.09001 * 109.46832 * 60.00321 * 8 7 5 36 36 H 1.09001 * 109.47109 * 299.99380 * 11 9 8 37 37 H 1.09002 * 109.47508 * 59.99571 * 11 9 8 38 38 H 0.97003 * 119.99983 * 359.97438 * 12 11 9 39 39 H 1.07997 * 120.03685 * 0.03025 * 16 15 13 40 40 H 1.08997 * 109.47406 * 135.00233 * 18 17 16 41 41 H 0.96698 * 113.99817 * 299.99281 * 19 18 17 42 42 H 1.48505 * 109.99943 * 298.67975 * 20 18 17 43 43 H 1.48501 * 110.00073 * 60.00067 * 20 18 17 44 44 H 1.09001 * 109.47406 * 59.99512 * 23 22 21 45 45 H 1.08998 * 109.47126 * 180.02562 * 23 22 21 46 46 H 1.09000 * 109.46910 * 299.99698 * 23 22 21 47 47 H 1.09007 * 109.47235 * 60.00048 * 24 22 21 48 48 H 1.08998 * 109.47139 * 179.97438 * 24 22 21 49 49 H 1.08997 * 109.47749 * 300.00386 * 24 22 21 50 50 H 1.08001 * 119.96568 * 180.02562 * 25 21 17 51 51 H 1.08002 * 120.03507 * 180.24919 * 26 25 21 52 52 H 1.08992 * 109.47554 * 59.99639 * 27 9 8 53 53 H 1.09004 * 109.47108 * 179.97438 * 27 9 8 54 54 H 1.09002 * 109.47045 * 60.00033 * 28 5 3 55 55 H 1.09001 * 109.47375 * 299.99958 * 28 5 3 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 1.4520 0.0000 0.0000 3 6 2.0613 1.1960 0.0000 4 8 1.4032 2.2093 0.0005 5 6 3.5663 1.2749 0.0006 6 1 3.9556 0.7810 0.8908 7 6 4.1139 0.5810 -1.2483 8 6 5.6417 0.6617 -1.2480 9 6 6.0750 2.1291 -1.2485 10 9 5.5748 2.7627 -2.3911 11 6 7.6028 2.2097 -1.2488 12 7 8.0178 3.6147 -1.2498 13 6 9.3280 3.9305 -1.2498 14 8 10.1657 3.0492 -1.2485 15 6 9.7457 5.3453 -1.2514 16 6 11.1042 5.6744 -1.2508 17 6 11.4908 6.9953 -1.2528 18 6 12.9552 7.3510 -1.2516 19 8 13.3340 7.8047 0.0494 20 14 13.9597 5.8481 -1.7021 21 6 10.5305 8.0030 -1.2549 22 7 10.9243 9.3366 -1.2575 23 6 10.4159 10.0334 -2.4465 24 6 10.4956 10.0144 -0.0267 25 6 9.1764 7.6784 -1.2555 26 6 8.7836 6.3598 -1.2589 27 6 5.5275 2.8229 0.0004 28 6 4.0001 2.7421 -0.0002 29 1 -0.3634 0.5138 -0.8900 30 1 -0.3633 -1.0277 0.0005 31 1 -0.3633 0.5138 0.8900 32 1 3.7244 1.0749 -2.1385 33 1 3.8047 -0.4642 -1.2482 34 1 6.0318 0.1677 -2.1380 35 1 6.0314 0.1680 -0.3578 36 1 7.9929 1.7160 -0.3588 37 1 7.9926 1.7155 -2.1387 38 1 7.3495 4.3178 -1.2505 39 1 11.8497 4.8930 -1.2497 40 1 13.1376 8.1416 -1.9795 41 1 12.8503 8.5863 0.3497 42 1 13.7442 4.7740 -0.6995 43 1 13.5751 5.3664 -3.0532 44 1 9.3267 9.9905 -2.4549 45 1 10.7388 11.0742 -2.4236 46 1 10.8052 9.5523 -3.3438 47 1 10.9429 9.5195 0.8354 48 1 10.8168 11.0556 -0.0546 49 1 9.4094 9.9708 0.0527 50 1 8.4337 8.4625 -1.2576 51 1 7.7332 6.1086 -1.2635 52 1 5.9171 2.3293 0.8906 53 1 5.8365 3.8682 0.0003 54 1 3.6099 3.2368 0.8893 55 1 3.6107 3.2357 -0.8907 There are 74 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 74 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) F: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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=0 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=WATER s_22_16738318_13422196.mol2 55 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 9 2021 14:15:22 Heat of formation + Delta-G solvation = -163.779138 kcal Electronic energy + Delta-G solvation = -38052.086176 eV Core-core repulsion = 32970.170862 eV Total energy + Delta-G solvation = -5081.915314 eV No. of doubly occupied orbitals = 74 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 395.199 amu Computer time = 1.94 seconds Orbital eigenvalues (eV) -48.88886 -41.88017 -41.75955 -40.63815 -38.97480 -37.74227 -37.57211 -37.39688 -36.22829 -33.31425 -32.49874 -32.08721 -31.38738 -29.06932 -28.59339 -27.66670 -26.97177 -25.88927 -24.20342 -23.91354 -23.24405 -22.89666 -21.77914 -21.27204 -20.77503 -19.44355 -18.71099 -18.25646 -18.03352 -17.84151 -17.69900 -17.54161 -17.07113 -16.79916 -16.50243 -16.45397 -16.22576 -16.02188 -15.97245 -15.57753 -15.14101 -15.08928 -14.96106 -14.91591 -14.68690 -14.52686 -14.19469 -14.13256 -14.02128 -13.88003 -13.69301 -13.55755 -13.33912 -13.19764 -13.14788 -13.10078 -13.03275 -12.81315 -12.75703 -12.66824 -12.34902 -12.19672 -11.98886 -11.89592 -11.71115 -11.52501 -11.40886 -11.26850 -11.18737 -11.01907 -10.48076 -10.26184 -9.92608 -9.66436 -4.92358 -0.56476 -0.01351 1.05757 1.31083 1.46210 1.58126 1.66948 1.79670 1.91694 2.45940 2.66229 3.09455 3.25550 3.37655 3.41605 3.43482 3.48729 3.53763 3.66350 3.75891 3.81904 3.90288 3.95956 4.02050 4.09309 4.12310 4.17043 4.24468 4.25629 4.32355 4.34601 4.35919 4.39965 4.41450 4.47896 4.55814 4.58309 4.60900 4.63889 4.67408 4.69034 4.84684 4.87701 4.92713 4.96477 4.97142 4.97842 4.98461 5.04060 5.06587 5.09506 5.12247 5.26268 5.34190 5.38156 5.74121 6.12065 6.18037 6.61328 6.65175 6.87815 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.027 3.973 2 O -0.361 6.361 3 C 0.462 3.538 4 O -0.541 6.541 5 C -0.078 4.078 6 H 0.139 0.861 7 C -0.107 4.107 8 C -0.133 4.133 9 C 0.113 3.887 10 F -0.214 7.214 11 C 0.099 3.901 12 N -0.708 5.708 13 C 0.559 3.441 14 O -0.578 6.578 15 C -0.150 4.150 16 C -0.079 4.079 17 C -0.112 4.112 18 C -0.064 4.064 19 O -0.543 6.543 20 Si 0.795 3.205 21 C 0.134 3.866 22 N -0.522 5.522 23 C 0.024 3.976 24 C 0.022 3.978 25 C -0.148 4.148 26 C -0.059 4.059 27 C -0.135 4.135 28 C -0.102 4.102 29 H 0.058 0.942 30 H 0.129 0.871 31 H 0.061 0.939 32 H 0.059 0.941 33 H 0.097 0.903 34 H 0.089 0.911 35 H 0.115 0.885 36 H 0.100 0.900 37 H 0.073 0.927 38 H 0.413 0.587 39 H 0.114 0.886 40 H 0.096 0.904 41 H 0.374 0.626 42 H -0.299 1.299 43 H -0.276 1.276 44 H 0.043 0.957 45 H 0.092 0.908 46 H 0.065 0.935 47 H 0.071 0.929 48 H 0.093 0.907 49 H 0.041 0.959 50 H 0.157 0.843 51 H 0.159 0.841 52 H 0.110 0.890 53 H 0.086 0.914 54 H 0.078 0.922 55 H 0.060 0.940 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.796 2.810 1.378 4.197 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 -0.066 4.066 2 O -0.277 6.277 3 C 0.306 3.694 4 O -0.431 6.431 5 C -0.097 4.097 6 H 0.157 0.843 7 C -0.144 4.144 8 C -0.171 4.171 9 C 0.094 3.906 10 F -0.195 7.195 11 C -0.025 4.025 12 N -0.361 5.361 13 C 0.347 3.653 14 O -0.459 6.459 15 C -0.153 4.153 16 C -0.098 4.098 17 C -0.113 4.113 18 C -0.173 4.173 19 O -0.350 6.350 20 Si 0.700 3.300 21 C 0.039 3.961 22 N -0.244 5.244 23 C -0.122 4.122 24 C -0.124 4.124 25 C -0.168 4.168 26 C -0.078 4.078 27 C -0.172 4.172 28 C -0.140 4.140 29 H 0.077 0.923 30 H 0.148 0.852 31 H 0.079 0.921 32 H 0.078 0.922 33 H 0.115 0.885 34 H 0.108 0.892 35 H 0.133 0.867 36 H 0.118 0.882 37 H 0.091 0.909 38 H 0.252 0.748 39 H 0.132 0.868 40 H 0.114 0.886 41 H 0.223 0.777 42 H -0.227 1.227 43 H -0.202 1.202 44 H 0.061 0.939 45 H 0.111 0.889 46 H 0.084 0.916 47 H 0.090 0.910 48 H 0.112 0.888 49 H 0.060 0.940 50 H 0.175 0.825 51 H 0.176 0.824 52 H 0.129 0.871 53 H 0.105 0.895 54 H 0.097 0.903 55 H 0.078 0.922 Dipole moment (debyes) X Y Z Total from point charges -1.588 1.194 1.072 2.258 hybrid contribution -3.087 0.938 -0.067 3.227 sum -4.675 2.132 1.005 5.236 Atomic orbital electron populations 1.23519 0.75134 1.05629 1.02329 1.86504 1.24656 1.33046 1.83541 1.24344 0.93020 0.81016 0.70970 1.90674 1.68166 1.37515 1.46713 1.21273 0.85263 0.99609 1.03519 0.84288 1.21462 0.95302 1.02187 0.95494 1.22102 0.95562 0.92979 1.06418 1.21331 0.91173 0.94755 0.83316 1.92866 1.89006 1.84127 1.53485 1.22073 0.93382 0.82420 1.04633 1.45696 1.06488 1.09439 1.74507 1.18346 0.82718 0.88560 0.75648 1.90797 1.52696 1.50722 1.51677 1.19864 0.94219 0.92928 1.08272 1.21057 0.95583 0.95996 0.97147 1.20349 0.97416 0.91692 1.01882 1.25057 0.93281 1.09818 0.89190 1.86686 1.65533 1.50726 1.32067 0.92816 0.89137 0.72026 0.75996 1.18942 0.91092 0.90566 0.95518 1.59468 1.60789 0.98981 1.05121 1.22558 0.98666 0.99922 0.91054 1.22616 0.99484 1.00281 0.90009 1.21905 0.96390 0.97337 1.01162 1.21434 0.99642 0.91699 0.95062 1.22169 0.94912 1.02681 0.97461 1.21359 0.95344 0.93685 1.03616 0.92300 0.85237 0.92054 0.92228 0.88489 0.89211 0.86657 0.88176 0.90872 0.74795 0.86839 0.88565 0.77682 1.22700 1.20204 0.93887 0.88942 0.91628 0.90974 0.88794 0.93999 0.82546 0.82397 0.87117 0.89499 0.90292 0.92163 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 0.03 -0.04 10.56 113.37 1.20 1.16 16 2 O -0.36 -0.61 10.47 -51.41 -0.54 -1.15 16 3 C 0.46 1.45 7.26 71.24 0.52 1.97 16 4 O -0.54 -5.42 15.73 21.97 0.35 -5.08 16 5 C -0.08 0.30 2.63 -11.54 -0.03 0.27 16 6 H 0.14 -1.23 8.14 -2.39 -0.02 -1.25 16 7 C -0.11 0.52 5.01 30.60 0.15 0.68 16 8 C -0.13 0.96 5.00 30.59 0.15 1.11 16 9 C 0.11 -0.52 0.85 -10.79 -0.01 -0.53 16 10 F -0.21 -0.21 15.63 44.97 0.70 0.49 16 11 C 0.10 -0.17 4.88 86.38 0.42 0.26 16 12 N -0.71 -0.14 5.14 -466.28 -2.39 -2.54 16 13 C 0.56 4.49 7.76 86.69 0.67 5.16 16 14 O -0.58 -9.68 16.34 -4.00 -0.07 -9.75 16 15 C -0.15 -0.89 5.88 -20.08 -0.12 -1.01 16 16 C -0.08 -0.75 8.20 22.50 0.18 -0.56 16 17 C -0.11 -0.61 5.28 -19.78 -0.10 -0.71 16 18 C -0.06 -0.25 2.29 71.23 0.16 -0.09 16 19 O -0.54 -2.51 12.65 -148.98 -1.89 -4.39 16 20 Si 0.80 4.34 30.40 68.60 2.09 6.43 16 21 C 0.13 0.08 4.66 38.47 0.18 0.26 16 22 N -0.52 1.60 3.70 -745.10 -2.76 -1.16 16 23 C 0.02 -0.13 9.34 127.69 1.19 1.06 16 24 C 0.02 -0.14 9.09 127.69 1.16 1.02 16 25 C -0.15 0.34 8.53 22.36 0.19 0.53 16 26 C -0.06 0.08 9.53 22.50 0.21 0.29 16 27 C -0.13 0.95 4.83 30.58 0.15 1.10 16 28 C -0.10 0.32 4.37 30.58 0.13 0.45 16 29 H 0.06 -0.02 8.13 -2.39 -0.02 -0.04 16 30 H 0.13 -0.93 8.14 -2.39 -0.02 -0.95 16 31 H 0.06 -0.06 8.13 -2.39 -0.02 -0.07 16 32 H 0.06 -0.06 7.80 -2.39 -0.02 -0.08 16 33 H 0.10 -0.62 8.11 -2.39 -0.02 -0.63 16 34 H 0.09 -0.62 8.14 -2.39 -0.02 -0.64 16 35 H 0.12 -1.33 8.14 -2.39 -0.02 -1.35 16 36 H 0.10 -0.30 8.14 -2.39 -0.02 -0.32 16 37 H 0.07 0.09 8.14 -2.39 -0.02 0.07 16 38 H 0.41 -1.95 5.28 -92.71 -0.49 -2.43 16 39 H 0.11 1.61 4.50 -2.91 -0.01 1.59 16 40 H 0.10 0.10 7.78 -2.39 -0.02 0.08 16 41 H 0.37 -0.02 7.47 -74.06 -0.55 -0.57 16 42 H -0.30 -4.06 6.81 99.48 0.68 -3.38 16 43 H -0.28 -2.60 7.11 99.48 0.71 -1.89 16 44 H 0.04 -0.29 7.09 -2.39 -0.02 -0.31 16 45 H 0.09 -0.71 8.12 -2.39 -0.02 -0.73 16 46 H 0.06 -0.24 8.14 -2.39 -0.02 -0.26 16 47 H 0.07 -0.42 7.40 -2.38 -0.02 -0.43 16 48 H 0.09 -0.81 8.12 -2.39 -0.02 -0.83 16 49 H 0.04 -0.30 7.32 -2.39 -0.02 -0.32 16 50 H 0.16 -1.13 6.99 -2.91 -0.02 -1.15 16 51 H 0.16 -1.25 6.39 -2.91 -0.02 -1.27 16 52 H 0.11 -1.16 8.14 -2.39 -0.02 -1.18 16 53 H 0.09 -0.71 6.86 -2.38 -0.02 -0.73 16 54 H 0.08 -0.18 8.10 -2.39 -0.02 -0.20 16 55 H 0.06 0.09 7.76 -2.39 -0.02 0.07 16 Total: 0.00 -25.74 436.39 1.80 -23.93 By element: Atomic # 1 Polarization: -19.10 SS G_CDS: -0.11 Total: -19.21 kcal Atomic # 6 Polarization: 5.99 SS G_CDS: 6.42 Total: 12.41 kcal Atomic # 7 Polarization: 1.46 SS G_CDS: -5.15 Total: -3.69 kcal Atomic # 8 Polarization: -18.22 SS G_CDS: -2.14 Total: -20.36 kcal Atomic # 9 Polarization: -0.21 SS G_CDS: 0.70 Total: 0.49 kcal Atomic # 14 Polarization: 4.34 SS G_CDS: 2.09 Total: 6.43 kcal Total: -25.74 1.80 -23.93 kcal The number of atoms in the molecule is 55 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_22_16738318_13422196.mol2 55 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 -139.845 kcal (2) G-P(sol) polarization free energy of solvation -25.738 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -165.582 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy 1.803 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -23.934 kcal (6) G-S(sol) free energy of system = (1) + (5) -163.779 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.94 seconds