Wall clock time and date at job start Sat Apr 11 2020 06:09:22 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= -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 C 1.53000 * 109.47180 * 2 1 4 4 H 1.08999 * 109.47182 * 56.05961 * 3 2 1 5 5 O 1.42903 * 109.47380 * 296.05629 * 3 2 1 6 6 C 1.42896 * 114.00158 * 151.98659 * 5 3 2 7 7 C 1.54266 * 110.03715 * 270.70302 * 6 5 3 8 8 C 1.54884 * 104.19906 * 217.10753 * 7 6 5 9 9 C 1.54885 * 102.75059 * 37.93770 * 8 7 6 10 10 C 1.53876 * 110.03284 * 153.53473 * 6 5 3 11 11 C 1.50697 * 109.47231 * 176.05488 * 3 2 1 12 12 O 1.21289 * 120.00055 * 115.00081 * 11 3 2 13 13 N 1.34777 * 120.00311 * 295.00394 * 11 3 2 14 14 C 1.46496 * 120.00120 * 179.97438 * 13 11 3 15 15 C 1.53005 * 109.47224 * 179.97438 * 14 13 11 16 16 O 1.42900 * 110.64033 * 61.85452 * 15 14 13 17 17 C 1.55155 * 110.71919 * 184.99699 * 15 14 13 18 18 C 1.54920 * 101.57949 * 153.86564 * 17 15 14 19 19 N 1.47424 * 104.83157 * 322.99081 * 18 17 15 20 20 C 1.36930 * 125.64876 * 204.09206 * 19 18 17 21 21 H 1.08011 * 120.00136 * 168.07351 * 20 19 18 22 22 C 1.38812 * 120.00333 * 348.07585 * 20 19 18 23 23 N 1.31621 * 119.99351 * 323.69598 * 22 20 19 24 24 Si 1.86792 * 120.00535 * 143.69142 * 22 20 19 25 25 H 1.48512 * 109.47020 * 0.02562 * 24 22 20 26 26 H 1.48499 * 109.47127 * 119.99830 * 24 22 20 27 27 H 1.48494 * 109.47524 * 240.00175 * 24 22 20 28 28 C 1.47026 * 108.70053 * 24.35480 * 19 18 17 29 29 H 1.09000 * 109.47267 * 305.17385 * 1 2 3 30 30 H 1.09004 * 109.47019 * 65.17027 * 1 2 3 31 31 H 1.08992 * 109.47483 * 185.17089 * 1 2 3 32 32 H 1.09000 * 109.46839 * 240.00039 * 2 1 3 33 33 H 1.08999 * 109.46916 * 119.99984 * 2 1 3 34 34 H 1.09007 * 110.01702 * 32.14785 * 6 5 3 35 35 H 1.09002 * 110.48454 * 335.78371 * 7 6 5 36 36 H 1.09006 * 110.48456 * 98.42584 * 7 6 5 37 37 H 1.09008 * 110.75523 * 279.62771 * 8 7 6 38 38 H 1.08993 * 110.75954 * 156.25590 * 8 7 6 39 39 H 1.08997 * 110.49058 * 203.38359 * 9 8 7 40 40 H 1.09004 * 110.48519 * 80.73417 * 9 8 7 41 41 H 1.09002 * 110.03387 * 238.57014 * 10 6 5 42 42 H 1.09001 * 110.02743 * 359.95413 * 10 6 5 43 43 H 0.96997 * 119.99510 * 359.97438 * 13 11 3 44 44 H 1.08998 * 109.47842 * 59.99729 * 14 13 11 45 45 H 1.09004 * 109.47216 * 299.99614 * 14 13 11 46 46 H 0.96696 * 114.00142 * 303.14459 * 16 15 14 47 47 H 1.08994 * 111.00430 * 35.79520 * 17 15 14 48 48 H 1.08997 * 111.00489 * 271.93670 * 17 15 14 49 49 H 1.08996 * 110.36794 * 204.15230 * 18 17 15 50 50 H 1.08999 * 110.36356 * 81.82625 * 18 17 15 51 51 H 0.96993 * 120.00307 * 354.35070 * 23 22 20 52 52 H 1.09010 * 109.87979 * 118.13563 * 28 19 18 53 53 H 1.09003 * 109.88391 * 239.28949 * 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 6 2.0400 1.4425 0.0000 4 1 1.6201 1.9763 0.8526 5 8 1.6408 2.0889 -1.2103 6 6 1.4805 3.5036 -1.0882 7 6 0.0342 3.8372 -0.6677 8 6 -0.2979 5.1346 -1.4458 9 6 0.3935 4.9005 -2.8118 10 6 1.7089 4.1797 -2.4515 11 6 3.5438 1.4436 0.0978 12 8 4.2110 1.8661 -0.8228 13 7 4.1473 0.9752 1.2080 14 6 5.6092 0.9758 1.3028 15 6 6.0330 0.3973 2.6544 16 8 5.5976 -0.9579 2.7811 17 6 7.5703 0.4994 2.8375 18 6 7.6977 0.5374 4.3810 19 7 6.5421 1.3318 4.8357 20 6 6.4625 2.0216 6.0159 21 1 5.6599 2.7264 6.1765 22 6 7.4132 1.8152 7.0060 23 7 7.9090 0.6117 7.2015 24 14 7.9892 3.2452 8.0607 25 1 7.2832 4.4836 7.6439 26 1 7.6887 2.9609 9.4869 27 1 9.4529 3.4282 7.8902 28 6 5.4867 1.2557 3.8148 29 1 -0.3634 0.5920 0.8400 30 1 -0.3633 0.4316 -0.9327 31 1 -0.3634 -1.0234 0.0926 32 1 1.8933 -0.5138 -0.8900 33 1 1.8933 -0.5138 0.8900 34 1 2.1837 3.8968 -0.3539 35 1 -0.6426 3.0340 -0.9589 36 1 -0.0199 4.0123 0.4069 37 1 0.1242 6.0051 -0.9434 38 1 -1.3749 5.2445 -1.5718 39 1 0.6016 5.8515 -3.3021 40 1 -0.2253 4.2688 -3.4493 41 1 2.5224 4.9015 -2.3786 42 1 1.9429 3.4287 -3.2060 43 1 3.6137 0.6377 1.9444 44 1 5.9788 1.9973 1.2133 45 1 6.0256 0.3671 0.5001 46 1 4.6438 -1.0761 2.6748 47 1 7.9569 1.4155 2.3910 48 1 8.0719 -0.3762 2.4256 49 1 8.6295 1.0219 4.6729 50 1 7.6492 -0.4715 4.7906 51 1 7.5522 -0.1454 6.7113 52 1 4.5962 0.7892 4.2364 53 1 5.2478 2.2558 3.4532 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 ZINC001278811309.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 06:09:22 Heat of formation + Delta-G solvation = -126.730906 kcal Electronic energy + Delta-G solvation = -31140.658993 eV Core-core repulsion = 27012.201269 eV Total energy + Delta-G solvation = -4128.457723 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.79 seconds Orbital eigenvalues (eV) -40.48133 -39.22642 -38.36572 -36.39701 -35.40039 -34.41229 -33.43838 -32.28688 -29.73572 -29.02338 -28.88668 -28.11962 -26.94828 -25.32265 -23.59308 -22.34630 -21.18296 -20.81144 -20.60294 -20.11927 -20.07475 -18.09014 -17.55597 -17.42517 -16.46092 -16.20731 -15.74213 -15.32601 -15.09446 -14.73297 -14.47407 -14.30845 -14.22259 -13.97475 -13.77368 -13.63444 -13.33394 -13.15668 -12.97823 -12.80022 -12.59860 -12.29440 -12.18915 -12.05275 -11.86176 -11.47198 -11.40523 -11.37995 -11.20929 -11.07249 -10.93637 -10.80028 -10.77768 -10.66837 -10.53845 -10.48353 -10.33085 -10.08043 -9.82866 -9.60217 -9.35067 -9.18959 -8.33642 -7.01947 -6.21176 -3.11445 2.45928 2.86865 3.40900 3.50945 3.53454 3.67833 4.24518 4.28045 4.29458 4.41690 4.50903 4.54976 4.63195 4.65264 4.77303 4.89287 5.00573 5.01983 5.13637 5.15915 5.17264 5.21415 5.22837 5.32209 5.35132 5.45080 5.47980 5.54031 5.58244 5.62388 5.69538 5.70453 5.75877 5.81523 5.85441 5.92769 5.96631 5.97562 6.01686 6.14177 6.22152 6.27928 6.39044 6.44172 6.88599 6.91898 7.05431 7.31834 7.74242 7.76747 8.07466 8.44494 8.95550 9.77566 10.33155 11.13770 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.013959 B = 0.002494 C = 0.002323 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2005.334349 B =11222.887867 C =12049.412720 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.148 4.148 2 C -0.115 4.115 3 C 0.075 3.925 4 H 0.086 0.914 5 O -0.345 6.345 6 C 0.085 3.915 7 C -0.149 4.149 8 C -0.124 4.124 9 C -0.123 4.123 10 C -0.119 4.119 11 C 0.488 3.512 12 O -0.524 6.524 13 N -0.726 5.726 14 C 0.105 3.895 15 C 0.106 3.894 16 O -0.543 6.543 17 C -0.119 4.119 18 C 0.148 3.852 19 N -0.597 5.597 20 C -0.350 4.350 21 H 0.066 0.934 22 C -0.019 4.019 23 N -0.902 5.902 24 Si 1.058 2.942 25 H -0.292 1.292 26 H -0.295 1.295 27 H -0.289 1.289 28 C 0.117 3.883 29 H 0.055 0.945 30 H 0.063 0.937 31 H 0.059 0.941 32 H 0.078 0.922 33 H 0.080 0.920 34 H 0.062 0.938 35 H 0.078 0.922 36 H 0.066 0.934 37 H 0.068 0.932 38 H 0.068 0.932 39 H 0.066 0.934 40 H 0.067 0.933 41 H 0.071 0.929 42 H 0.079 0.921 43 H 0.398 0.602 44 H 0.079 0.921 45 H 0.076 0.924 46 H 0.365 0.635 47 H 0.080 0.920 48 H 0.076 0.924 49 H 0.053 0.947 50 H 0.030 0.970 51 H 0.270 0.730 52 H 0.024 0.976 53 H 0.032 0.968 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -16.789 2.556 -18.062 24.792 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 -0.205 4.205 2 C -0.153 4.153 3 C 0.013 3.987 4 H 0.103 0.897 5 O -0.262 6.262 6 C 0.027 3.973 7 C -0.187 4.187 8 C -0.161 4.161 9 C -0.161 4.161 10 C -0.156 4.156 11 C 0.273 3.727 12 O -0.399 6.399 13 N -0.381 5.381 14 C -0.019 4.019 15 C 0.064 3.936 16 O -0.347 6.347 17 C -0.157 4.157 18 C 0.023 3.977 19 N -0.324 5.324 20 C -0.477 4.477 21 H 0.084 0.916 22 C -0.222 4.222 23 N -0.541 5.541 24 Si 0.888 3.112 25 H -0.218 1.218 26 H -0.223 1.223 27 H -0.216 1.216 28 C -0.009 4.009 29 H 0.074 0.926 30 H 0.082 0.918 31 H 0.078 0.922 32 H 0.097 0.903 33 H 0.099 0.901 34 H 0.080 0.920 35 H 0.097 0.903 36 H 0.085 0.915 37 H 0.087 0.913 38 H 0.087 0.913 39 H 0.085 0.915 40 H 0.086 0.914 41 H 0.090 0.910 42 H 0.098 0.902 43 H 0.232 0.768 44 H 0.097 0.903 45 H 0.094 0.906 46 H 0.212 0.788 47 H 0.099 0.901 48 H 0.095 0.905 49 H 0.072 0.928 50 H 0.047 0.953 51 H 0.081 0.919 52 H 0.042 0.958 53 H 0.050 0.950 Dipole moment (debyes) X Y Z Total from point charges -14.637 3.191 -17.544 23.070 hybrid contribution -1.875 -0.366 -0.529 1.983 sum -16.512 2.825 -18.073 24.643 Atomic orbital electron populations 1.21717 0.94294 1.01988 1.02533 1.21574 0.97456 0.92694 1.03590 1.22114 0.90287 0.96392 0.89870 0.89658 1.88048 1.87137 1.19822 1.31193 1.22866 0.95471 0.80884 0.98085 1.22959 0.97104 0.98540 1.00121 1.22430 1.00455 0.97315 0.95910 1.22351 0.96303 1.00217 0.97200 1.22149 0.97783 0.99333 0.96377 1.21445 0.91271 0.77725 0.82242 1.90716 1.66160 1.45360 1.37686 1.46047 1.07987 1.65063 1.18975 1.22044 0.79538 1.02338 0.97999 1.22532 0.97070 0.82014 0.91949 1.86630 1.27127 1.25896 1.95062 1.22817 0.91318 1.01869 0.99745 1.21488 0.91945 0.95386 0.88924 1.44531 1.10547 1.58998 1.18321 1.19654 1.15870 1.18849 0.93345 0.91606 1.25653 0.98379 1.01003 0.97151 1.70721 1.46779 0.98465 1.38109 0.83672 0.76609 0.75436 0.75496 1.21801 1.22259 1.21565 1.21919 0.92777 0.96461 0.89750 0.92637 0.91784 0.92208 0.90343 0.90123 0.91974 0.90313 0.91528 0.91349 0.91326 0.91488 0.91422 0.90985 0.90195 0.76779 0.90317 0.90622 0.78827 0.90102 0.90530 0.92823 0.95255 0.91896 0.95840 0.95022 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -0.15 -1.00 9.74 37.16 0.36 -0.64 16 2 C -0.12 -0.92 5.61 -26.73 -0.15 -1.07 16 3 C 0.08 0.75 2.35 -27.88 -0.07 0.69 16 4 H 0.09 0.72 7.84 -51.93 -0.41 0.31 16 5 O -0.34 -3.93 8.68 -55.09 -0.48 -4.41 16 6 C 0.08 0.86 3.12 -25.61 -0.08 0.78 16 7 C -0.15 -1.18 6.52 -25.08 -0.16 -1.35 16 8 C -0.12 -0.87 6.91 -24.74 -0.17 -1.04 16 9 C -0.12 -0.92 6.83 -25.07 -0.17 -1.09 16 10 C -0.12 -1.14 6.61 -25.61 -0.17 -1.31 16 11 C 0.49 6.32 7.04 -10.99 -0.08 6.24 16 12 O -0.52 -8.91 16.49 -14.31 -0.24 -9.14 16 13 N -0.73 -8.54 5.04 -60.29 -0.30 -8.84 16 14 C 0.10 1.47 4.74 -4.04 -0.02 1.45 16 15 C 0.11 1.73 0.93 -88.78 -0.08 1.64 16 16 O -0.54 -8.59 13.10 -35.23 -0.46 -9.05 16 17 C -0.12 -2.14 6.26 -24.58 -0.15 -2.29 16 18 C 0.15 3.45 5.39 -2.52 -0.01 3.44 16 19 N -0.60 -14.96 3.33 -170.06 -0.57 -15.52 16 20 C -0.35 -9.84 9.94 -15.06 -0.15 -9.99 16 21 H 0.07 1.85 8.04 -52.48 -0.42 1.43 16 22 C -0.02 -0.53 4.91 -17.43 -0.09 -0.62 16 23 N -0.90 -27.17 12.91 55.49 0.72 -26.45 16 24 Si 1.06 25.27 30.04 -169.99 -5.11 20.16 16 25 H -0.29 -6.64 7.11 56.52 0.40 -6.24 16 26 H -0.30 -6.98 7.11 56.52 0.40 -6.58 16 27 H -0.29 -6.85 7.11 56.52 0.40 -6.45 16 28 C 0.12 2.32 6.04 -3.06 -0.02 2.30 16 29 H 0.05 0.34 8.14 -51.93 -0.42 -0.08 16 30 H 0.06 0.48 7.93 -51.93 -0.41 0.07 16 31 H 0.06 0.35 8.14 -51.93 -0.42 -0.07 16 32 H 0.08 0.71 8.14 -51.93 -0.42 0.28 16 33 H 0.08 0.52 7.80 -51.93 -0.40 0.11 16 34 H 0.06 0.69 7.82 -51.92 -0.41 0.28 16 35 H 0.08 0.62 8.08 -51.93 -0.42 0.20 16 36 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 37 H 0.07 0.47 8.14 -51.92 -0.42 0.05 16 38 H 0.07 0.41 8.14 -51.93 -0.42 -0.01 16 39 H 0.07 0.44 8.14 -51.93 -0.42 0.02 16 40 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 41 H 0.07 0.69 8.14 -51.93 -0.42 0.26 16 42 H 0.08 0.85 7.95 -51.93 -0.41 0.44 16 43 H 0.40 3.79 7.09 -40.82 -0.29 3.50 16 44 H 0.08 1.19 8.13 -51.93 -0.42 0.77 16 45 H 0.08 1.08 8.14 -51.93 -0.42 0.66 16 46 H 0.37 4.22 8.05 45.56 0.37 4.58 16 47 H 0.08 1.35 8.04 -51.93 -0.42 0.94 16 48 H 0.08 1.26 8.14 -51.93 -0.42 0.84 16 49 H 0.05 1.35 7.87 -51.93 -0.41 0.94 16 50 H 0.03 0.75 7.11 -51.93 -0.37 0.38 16 51 H 0.27 8.25 6.68 -40.82 -0.27 7.98 16 52 H 0.02 0.46 8.07 -51.92 -0.42 0.05 16 53 H 0.03 0.63 7.82 -51.93 -0.41 0.22 16 LS Contribution 417.71 15.07 6.29 6.29 Total: -1.00 -34.48 417.71 -10.32 -44.80 By element: Atomic # 1 Polarization: 13.98 SS G_CDS: -8.97 Total: 5.01 kcal Atomic # 6 Polarization: -1.64 SS G_CDS: -1.21 Total: -2.85 kcal Atomic # 7 Polarization: -50.66 SS G_CDS: -0.15 Total: -50.82 kcal Atomic # 8 Polarization: -21.42 SS G_CDS: -1.18 Total: -22.60 kcal Atomic # 14 Polarization: 25.27 SS G_CDS: -5.11 Total: 20.16 kcal Total LS contribution 6.29 Total: 6.29 kcal Total: -34.48 -10.32 -44.80 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. ZINC001278811309.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 -81.930 kcal (2) G-P(sol) polarization free energy of solvation -34.484 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -116.414 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.317 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.801 kcal (6) G-S(sol) free energy of system = (1) + (5) -126.731 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.79 seconds