Wall clock time and date at job start Tue Mar 31 2020 20:33:03 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 1.52997 * 1 3 3 H 1.08997 * 109.47282 * 2 1 4 4 O 1.42903 * 109.47159 * 240.00025 * 2 1 3 5 5 C 1.42899 * 113.99960 * 90.00369 * 4 2 1 6 6 C 1.52995 * 109.47329 * 179.97438 * 5 4 2 7 7 C 1.53002 * 117.50146 * 243.62257 * 6 5 4 8 8 C 1.52996 * 117.50324 * 174.99609 * 6 5 4 9 9 C 1.50702 * 109.47191 * 120.00173 * 2 1 3 10 10 O 1.21283 * 119.99954 * 103.90530 * 9 2 1 11 11 N 1.34777 * 119.99901 * 283.90630 * 9 2 1 12 12 C 1.47489 * 125.66286 * 4.01620 * 11 9 2 13 13 C 1.55281 * 104.77744 * 155.87910 * 12 11 9 14 14 C 1.54472 * 101.42156 * 36.67365 * 13 12 11 15 15 C 1.47185 * 125.66142 * 184.31305 * 11 9 2 16 16 C 1.52240 * 110.29068 * 206.45834 * 14 13 12 17 17 C 1.53170 * 109.64906 * 177.99908 * 16 14 13 18 18 C 1.53193 * 109.26936 * 60.18862 * 17 16 14 19 19 N 1.46927 * 108.92593 * 304.77122 * 18 17 16 20 20 C 1.36937 * 120.70407 * 234.14066 * 19 18 17 21 21 H 1.07994 * 120.00145 * 151.73205 * 20 19 18 22 22 C 1.38816 * 119.99548 * 331.72414 * 20 19 18 23 23 N 1.31623 * 119.99634 * 159.80388 * 22 20 19 24 24 Si 1.86792 * 120.00291 * 339.80973 * 22 20 19 25 25 H 1.48498 * 109.47143 * 95.08706 * 24 22 20 26 26 H 1.48509 * 109.47102 * 215.08508 * 24 22 20 27 27 H 1.48499 * 109.47160 * 335.08210 * 24 22 20 28 28 C 1.47084 * 118.59922 * 54.16142 * 19 18 17 29 29 H 1.09002 * 109.46917 * 174.68603 * 1 2 3 30 30 H 1.08998 * 109.47125 * 294.68961 * 1 2 3 31 31 H 1.09005 * 109.47027 * 54.68315 * 1 2 3 32 32 H 1.09002 * 109.46910 * 299.99906 * 5 4 2 33 33 H 1.09000 * 109.47112 * 59.99408 * 5 4 2 34 34 H 1.09006 * 115.54884 * 29.32361 * 6 5 4 35 35 H 1.09001 * 117.49453 * 359.97438 * 7 6 5 36 36 H 1.09002 * 117.49965 * 145.01736 * 7 6 5 37 37 H 1.09002 * 117.50273 * 214.97890 * 8 6 5 38 38 H 1.09004 * 117.49392 * 0.02562 * 8 6 5 39 39 H 1.09001 * 110.34825 * 274.84534 * 12 11 9 40 40 H 1.08996 * 110.35019 * 37.12535 * 12 11 9 41 41 H 1.08999 * 111.23549 * 278.57151 * 13 12 11 42 42 H 1.09007 * 110.89609 * 154.62441 * 13 12 11 43 43 H 1.08992 * 109.91393 * 300.90627 * 15 11 9 44 44 H 1.09000 * 109.90801 * 61.98800 * 15 11 9 45 45 H 1.08991 * 109.44448 * 298.05421 * 16 14 13 46 46 H 1.09000 * 109.43785 * 57.99014 * 16 14 13 47 47 H 1.09000 * 109.50643 * 180.12229 * 17 16 14 48 48 H 1.09002 * 109.50996 * 300.24655 * 17 16 14 49 49 H 1.08991 * 109.56384 * 64.60771 * 18 17 16 50 50 H 1.09006 * 109.55894 * 184.94623 * 18 17 16 51 51 H 0.97000 * 119.99619 * 179.97438 * 23 22 20 52 52 H 1.09000 * 109.57801 * 187.74769 * 28 19 18 53 53 H 1.08993 * 109.57721 * 67.34979 * 28 19 18 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 1 1.8933 1.0276 0.0000 4 8 2.0063 -0.6736 -1.1668 5 6 2.2001 0.1829 -2.2941 6 6 2.7091 -0.6405 -3.4788 7 6 4.1061 -0.3196 -4.0140 8 6 2.8681 0.0763 -4.8211 9 6 2.0323 -0.7104 1.2304 10 8 2.4724 -1.8372 1.1429 11 7 1.9925 -0.0937 2.4282 12 6 1.4097 1.2352 2.6920 13 6 1.0490 1.2167 4.2023 14 6 2.2214 0.3981 4.7868 15 6 2.5288 -0.6319 3.6887 16 6 1.7915 -0.2965 6.0715 17 6 2.9483 -1.1429 6.6113 18 6 4.1466 -0.2341 6.9027 19 7 4.4820 0.5173 5.6855 20 6 5.7519 0.4890 5.1739 21 1 5.9104 0.6261 4.1145 22 6 6.8354 0.2842 6.0171 23 7 7.9818 -0.1358 5.5254 24 14 6.6665 0.6045 7.8496 25 1 6.3393 -0.6656 8.5460 26 1 7.9455 1.1434 8.3779 27 1 5.5805 1.5904 8.0818 28 6 3.4250 1.3011 5.0283 29 1 -0.3633 -1.0233 -0.0952 30 1 -0.3633 0.4292 0.9337 31 1 -0.3633 0.5941 -0.8386 32 1 1.2538 0.6547 -2.5588 33 1 2.9320 0.9514 -2.0449 34 1 2.3890 -1.6823 -3.4994 35 1 4.6624 0.4784 -3.5222 36 1 4.7054 -1.1504 -4.3867 37 1 2.6529 -0.4939 -5.7248 38 1 2.6104 1.1347 -4.8600 39 1 2.1396 2.0174 2.4833 40 1 0.5129 1.3821 2.0903 41 1 0.0972 0.7144 4.3747 42 1 1.0356 2.2271 4.6112 43 1 2.0450 -1.5800 3.9232 44 1 3.6057 -0.7762 3.6023 45 1 1.5129 0.4522 6.8130 46 1 0.9362 -0.9404 5.8669 47 1 2.6373 -1.6408 7.5297 48 1 3.2300 -1.8899 5.8691 49 1 3.8914 0.4612 7.7022 50 1 5.0005 -0.8413 7.2035 51 1 8.7390 -0.2786 6.1146 52 1 3.7922 1.6829 4.0757 53 1 3.1347 2.1329 5.6700 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001699697979.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 20:33:03 Heat of formation + Delta-G solvation = -27.309773 kcal Electronic energy + Delta-G solvation = -30747.939403 eV Core-core repulsion = 26814.248955 eV Total energy + Delta-G solvation = -3933.690448 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.08 seconds Orbital eigenvalues (eV) -40.48278 -39.12515 -38.04926 -36.62782 -35.96474 -33.28778 -31.99464 -31.01024 -30.88706 -29.00998 -27.32661 -26.32906 -25.38800 -24.06917 -22.91405 -22.61860 -21.93309 -21.04967 -20.99649 -19.34582 -18.34465 -17.46297 -16.75419 -16.62120 -16.10500 -15.98770 -15.37386 -15.34814 -14.91289 -14.41561 -14.21756 -14.03577 -13.74590 -13.58550 -13.44322 -13.18522 -12.96752 -12.85661 -12.74351 -12.53303 -12.21574 -12.07947 -11.91277 -11.81214 -11.71890 -11.61755 -11.41338 -11.23703 -11.12371 -10.80536 -10.71186 -10.54619 -10.51218 -10.41147 -10.03632 -9.88851 -9.83936 -9.64999 -9.42620 -9.34760 -8.61079 -8.41873 -6.97016 -5.93469 -3.31013 2.67149 2.82381 3.33074 3.44891 3.48278 3.50870 3.75685 4.36041 4.53198 4.55735 4.56628 4.62371 4.70761 4.76860 4.77842 4.89735 4.97094 5.05614 5.06527 5.16175 5.23304 5.29497 5.35258 5.37679 5.38622 5.45169 5.45841 5.50809 5.59407 5.66393 5.69499 5.82753 5.85363 5.89555 5.91684 5.96263 5.98283 6.07049 6.20959 6.28771 6.33094 6.38913 6.46020 6.54627 6.63212 6.68018 6.71702 6.92687 6.97458 7.67342 7.96715 8.33781 8.34727 8.94009 9.72480 10.09708 11.22330 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.013691 B = 0.003033 C = 0.002640 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2044.678344 B = 9231.068249 C =10605.203783 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.171 4.171 2 C 0.077 3.923 3 H 0.082 0.918 4 O -0.353 6.353 5 C 0.091 3.909 6 C -0.152 4.152 7 C -0.176 4.176 8 C -0.175 4.175 9 C 0.527 3.473 10 O -0.518 6.518 11 N -0.615 5.615 12 C 0.093 3.907 13 C -0.123 4.123 14 C -0.085 4.085 15 C 0.127 3.873 16 C -0.092 4.092 17 C -0.139 4.139 18 C 0.126 3.874 19 N -0.603 5.603 20 C -0.260 4.260 21 H 0.083 0.917 22 C 0.025 3.975 23 N -0.907 5.907 24 Si 0.883 3.117 25 H -0.289 1.289 26 H -0.304 1.304 27 H -0.270 1.270 28 C 0.164 3.836 29 H 0.072 0.928 30 H 0.074 0.926 31 H 0.068 0.932 32 H 0.054 0.946 33 H 0.052 0.948 34 H 0.115 0.885 35 H 0.096 0.904 36 H 0.097 0.903 37 H 0.097 0.903 38 H 0.094 0.906 39 H 0.072 0.928 40 H 0.074 0.926 41 H 0.074 0.926 42 H 0.084 0.916 43 H 0.060 0.940 44 H 0.089 0.911 45 H 0.061 0.939 46 H 0.054 0.946 47 H 0.055 0.945 48 H 0.066 0.934 49 H 0.025 0.975 50 H 0.070 0.930 51 H 0.262 0.738 52 H 0.062 0.938 53 H 0.026 0.974 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -18.488 5.020 -11.895 22.550 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 -0.229 4.229 2 C 0.016 3.984 3 H 0.100 0.900 4 O -0.272 6.272 5 C 0.014 3.986 6 C -0.170 4.170 7 C -0.213 4.213 8 C -0.212 4.212 9 C 0.314 3.686 10 O -0.392 6.392 11 N -0.351 5.351 12 C -0.030 4.030 13 C -0.161 4.161 14 C -0.087 4.087 15 C 0.005 3.995 16 C -0.130 4.130 17 C -0.179 4.179 18 C 0.000 4.000 19 N -0.326 5.326 20 C -0.388 4.388 21 H 0.101 0.899 22 C -0.174 4.174 23 N -0.549 5.549 24 Si 0.714 3.286 25 H -0.217 1.217 26 H -0.233 1.233 27 H -0.195 1.195 28 C 0.038 3.962 29 H 0.091 0.909 30 H 0.093 0.907 31 H 0.087 0.913 32 H 0.072 0.928 33 H 0.070 0.930 34 H 0.133 0.867 35 H 0.115 0.885 36 H 0.115 0.885 37 H 0.116 0.884 38 H 0.113 0.887 39 H 0.090 0.910 40 H 0.092 0.908 41 H 0.093 0.907 42 H 0.103 0.897 43 H 0.079 0.921 44 H 0.107 0.893 45 H 0.080 0.920 46 H 0.073 0.927 47 H 0.073 0.927 48 H 0.084 0.916 49 H 0.043 0.957 50 H 0.088 0.912 51 H 0.072 0.928 52 H 0.081 0.919 53 H 0.044 0.956 Dipole moment (debyes) X Y Z Total from point charges -17.985 4.121 -12.029 22.025 hybrid contribution 0.039 0.464 1.092 1.188 sum -17.945 4.585 -10.936 21.509 Atomic orbital electron populations 1.22277 0.93700 1.03943 1.02942 1.21817 0.94966 0.96065 0.85568 0.90023 1.88053 1.86480 1.33902 1.18717 1.22117 0.99130 0.92037 0.85311 1.22096 1.00707 1.01069 0.93175 1.23089 0.90824 1.03714 1.03637 1.22976 1.02780 1.00992 0.94429 1.19902 0.79280 0.86444 0.82983 1.90734 1.45223 1.18222 1.85059 1.48514 1.59190 1.19295 1.08090 1.22568 0.97885 0.85319 0.97240 1.22823 0.98421 1.01288 0.93608 1.21606 0.96390 0.96228 0.94516 1.21987 1.00752 0.95944 0.80788 1.21270 0.97480 0.98546 0.95729 1.22087 0.96528 0.98869 1.00387 1.21327 0.96064 0.93326 0.89249 1.44344 1.07256 1.52476 1.28561 1.18864 0.80598 1.46012 0.93312 0.89899 1.25291 0.95067 0.99346 0.97714 1.69848 1.02828 1.46895 1.35363 0.86920 0.76221 0.78262 0.87197 1.21703 1.23274 1.19471 1.20807 0.87164 0.91277 0.96962 0.90907 0.90722 0.91346 0.92800 0.92954 0.86704 0.88509 0.88470 0.88435 0.88730 0.90999 0.90798 0.90736 0.89704 0.92125 0.89320 0.92026 0.92740 0.92661 0.91551 0.95690 0.91151 0.92780 0.91911 0.95601 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -0.17 -1.58 9.35 37.16 0.35 -1.24 16 2 C 0.08 0.96 2.48 -27.88 -0.07 0.89 16 3 H 0.08 0.84 7.54 -51.93 -0.39 0.45 16 4 O -0.35 -5.02 9.57 -54.61 -0.52 -5.54 16 5 C 0.09 0.94 6.03 37.15 0.22 1.17 16 6 C -0.15 -1.52 6.06 -90.62 -0.55 -2.07 16 7 C -0.18 -1.62 10.18 -26.73 -0.27 -1.89 16 8 C -0.17 -1.33 10.25 -26.73 -0.27 -1.61 16 9 C 0.53 8.80 7.13 -10.98 -0.08 8.73 16 10 O -0.52 -11.21 16.91 -13.82 -0.23 -11.45 16 11 N -0.61 -9.26 3.33 -170.52 -0.57 -9.83 16 12 C 0.09 1.00 6.14 -2.29 -0.01 0.99 16 13 C -0.12 -1.32 6.01 -24.75 -0.15 -1.47 16 14 C -0.09 -1.27 0.54 -154.09 -0.08 -1.35 16 15 C 0.13 2.18 5.05 -3.32 -0.02 2.17 16 16 C -0.09 -1.33 4.52 -27.03 -0.12 -1.45 16 17 C -0.14 -2.40 5.92 -26.54 -0.16 -2.56 16 18 C 0.13 2.67 4.18 -3.71 -0.02 2.66 16 19 N -0.60 -13.83 2.38 -172.68 -0.41 -14.25 16 20 C -0.26 -7.18 10.04 -15.06 -0.15 -7.33 16 21 H 0.08 2.49 8.06 -52.49 -0.42 2.07 16 22 C 0.02 0.72 5.23 -17.43 -0.09 0.63 16 23 N -0.91 -28.05 13.97 55.49 0.78 -27.27 16 24 Si 0.88 22.31 24.38 -169.99 -4.14 18.17 16 25 H -0.29 -7.11 6.72 56.52 0.38 -6.73 16 26 H -0.30 -7.87 7.11 56.52 0.40 -7.47 16 27 H -0.27 -6.60 6.50 56.52 0.37 -6.23 16 28 C 0.16 3.00 4.97 -4.03 -0.02 2.98 16 29 H 0.07 0.77 8.14 -51.93 -0.42 0.34 16 30 H 0.07 0.59 5.82 -51.93 -0.30 0.28 16 31 H 0.07 0.49 8.00 -51.93 -0.42 0.07 16 32 H 0.05 0.44 8.00 -51.93 -0.42 0.03 16 33 H 0.05 0.52 7.82 -51.93 -0.41 0.11 16 34 H 0.11 1.24 8.14 -51.93 -0.42 0.81 16 35 H 0.10 0.89 8.03 -51.93 -0.42 0.47 16 36 H 0.10 0.85 8.14 -51.93 -0.42 0.43 16 37 H 0.10 0.64 8.14 -51.93 -0.42 0.22 16 38 H 0.09 0.62 8.14 -51.93 -0.42 0.19 16 39 H 0.07 0.76 7.89 -51.93 -0.41 0.35 16 40 H 0.07 0.59 5.49 -51.93 -0.28 0.31 16 41 H 0.07 0.72 8.02 -51.93 -0.42 0.30 16 42 H 0.08 0.79 7.98 -51.92 -0.41 0.38 16 43 H 0.06 1.07 7.61 -51.93 -0.40 0.67 16 44 H 0.09 1.93 7.56 -51.93 -0.39 1.53 16 45 H 0.06 0.83 8.14 -51.93 -0.42 0.41 16 46 H 0.05 0.69 8.11 -51.93 -0.42 0.27 16 47 H 0.05 0.83 8.14 -51.93 -0.42 0.41 16 48 H 0.07 1.23 7.28 -51.93 -0.38 0.85 16 49 H 0.03 0.52 7.02 -51.93 -0.36 0.16 16 50 H 0.07 1.67 4.59 -51.93 -0.24 1.43 16 51 H 0.26 7.71 8.31 -40.82 -0.34 7.37 16 52 H 0.06 1.18 7.48 -51.93 -0.39 0.79 16 53 H 0.03 0.46 8.11 -51.93 -0.42 0.03 16 LS Contribution 400.65 15.07 6.04 6.04 Total: -1.00 -34.55 400.65 -10.00 -44.55 By element: Atomic # 1 Polarization: 9.77 SS G_CDS: -9.45 Total: 0.33 kcal Atomic # 6 Polarization: 0.74 SS G_CDS: -1.49 Total: -0.75 kcal Atomic # 7 Polarization: -51.14 SS G_CDS: -0.20 Total: -51.34 kcal Atomic # 8 Polarization: -16.23 SS G_CDS: -0.76 Total: -16.99 kcal Atomic # 14 Polarization: 22.31 SS G_CDS: -4.14 Total: 18.17 kcal Total LS contribution 6.04 Total: 6.04 kcal Total: -34.55 -10.00 -44.55 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. ZINC001699697979.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 17.239 kcal (2) G-P(sol) polarization free energy of solvation -34.547 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -17.307 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.002 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.549 kcal (6) G-S(sol) free energy of system = (1) + (5) -27.310 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.08 seconds