Wall clock time and date at job start Sat Apr 11 2020 06:10:13 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 O 1.42902 * 109.47022 * 2 1 4 4 C 1.42903 * 113.99539 * 184.76999 * 3 2 1 5 5 H 1.08993 * 109.47662 * 6.68416 * 4 3 2 6 6 C 1.50703 * 109.46520 * 126.68296 * 4 3 2 7 7 O 1.21280 * 120.00156 * 11.97730 * 6 4 3 8 8 N 1.34776 * 119.99873 * 191.97993 * 6 4 3 9 9 C 1.46925 * 120.63030 * 356.01641 * 8 6 4 10 10 C 1.53188 * 108.77711 * 126.41453 * 9 8 6 11 11 C 1.53044 * 109.30893 * 54.63911 * 10 9 8 12 12 C 1.53037 * 109.53830 * 298.63208 * 11 10 9 13 13 H 1.09004 * 109.50084 * 301.38533 * 12 11 10 14 14 N 1.46500 * 109.50138 * 181.31835 * 12 11 10 15 15 C 1.36936 * 119.99908 * 85.00185 * 14 12 11 16 16 H 1.07997 * 120.00023 * 359.72371 * 15 14 12 17 17 C 1.38812 * 119.99872 * 179.72828 * 15 14 12 18 18 N 1.31616 * 120.00256 * 359.97438 * 17 15 14 19 19 Si 1.86800 * 119.99888 * 179.97438 * 17 15 14 20 20 H 1.48493 * 109.47285 * 60.00022 * 19 17 15 21 21 H 1.48504 * 109.47060 * 180.02562 * 19 17 15 22 22 H 1.48504 * 109.47276 * 299.99891 * 19 17 15 23 23 C 1.46923 * 120.63536 * 176.04831 * 8 6 4 24 24 C 1.52992 * 109.47017 * 246.67723 * 4 3 2 25 25 C 1.53184 * 109.54358 * 62.72748 * 24 4 3 26 26 C 1.53098 * 109.15648 * 183.23718 * 25 24 4 27 27 O 1.42902 * 109.49052 * 57.47651 * 26 25 24 28 28 C 1.42906 * 114.09730 * 298.88925 * 27 26 25 29 29 C 1.53087 * 109.41491 * 61.15167 * 28 27 26 30 30 H 1.09007 * 109.47192 * 59.99917 * 1 2 3 31 31 H 1.08997 * 109.47204 * 180.02562 * 1 2 3 32 32 H 1.08994 * 109.47247 * 299.99897 * 1 2 3 33 33 H 1.09007 * 109.46927 * 239.99961 * 2 1 3 34 34 H 1.08994 * 109.46948 * 120.00231 * 2 1 3 35 35 H 1.09008 * 109.58590 * 6.62880 * 9 8 6 36 36 H 1.08998 * 109.70893 * 246.27286 * 9 8 6 37 37 H 1.08994 * 109.49889 * 294.68880 * 10 9 8 38 38 H 1.09003 * 109.50286 * 174.58483 * 10 9 8 39 39 H 1.08999 * 109.45920 * 178.61673 * 11 10 9 40 40 H 1.08991 * 109.44962 * 58.64981 * 11 10 9 41 41 H 0.96998 * 119.99939 * 264.72658 * 14 12 11 42 42 H 0.96996 * 120.00309 * 179.97438 * 18 17 15 43 43 H 1.08995 * 109.59651 * 113.79309 * 23 8 6 44 44 H 1.09007 * 109.58457 * 353.36734 * 23 8 6 45 45 H 1.09005 * 109.54363 * 182.90276 * 24 4 3 46 46 H 1.08992 * 109.52218 * 303.05737 * 25 24 4 47 47 H 1.08999 * 109.51970 * 63.24211 * 25 24 4 48 48 H 1.08998 * 109.41103 * 297.48737 * 26 25 24 49 49 H 1.09002 * 109.48769 * 177.50983 * 26 25 24 50 50 H 1.09001 * 109.47557 * 301.17493 * 28 27 26 51 51 H 1.08995 * 109.48775 * 181.14250 * 28 27 26 52 52 H 1.08997 * 109.52097 * 182.48969 * 29 28 27 53 53 H 1.09003 * 109.52247 * 62.30099 * 29 28 27 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 8 2.0063 1.3473 0.0000 4 6 3.4266 1.4616 -0.1086 5 1 3.8576 0.4770 -0.2899 6 6 3.7706 2.3791 -1.2536 7 8 2.9054 3.0528 -1.7717 8 7 5.0396 2.4509 -1.7017 9 6 6.1141 1.7078 -1.0294 10 6 6.8490 0.8553 -2.0686 11 6 7.3260 1.7523 -3.2131 12 6 6.1182 2.4042 -3.8901 13 1 5.4489 1.6295 -4.2645 14 7 6.5736 3.2379 -5.0053 15 6 6.7933 2.6763 -6.2348 16 1 6.6353 1.6181 -6.3811 17 6 7.2194 3.4673 -7.2929 18 7 7.4116 4.7571 -7.1147 19 14 7.5199 2.7012 -8.9698 20 1 6.2625 2.0859 -9.4654 21 1 7.9662 3.7508 -9.9208 22 1 8.5704 1.6577 -8.8563 23 6 5.3751 3.2742 -2.8714 24 6 3.9930 2.0346 1.1920 25 6 3.7032 1.0700 2.3461 26 6 4.2015 1.6884 3.6550 27 8 3.5703 2.9548 3.8546 28 6 3.8461 3.9122 2.8300 29 6 3.3316 3.3841 1.4884 30 1 -0.3634 0.5139 -0.8900 31 1 -0.3633 -1.0276 0.0005 32 1 -0.3633 0.5138 0.8899 33 1 1.8933 -0.5139 -0.8900 34 1 1.8933 -0.5138 0.8899 35 1 5.6870 1.0614 -0.2626 36 1 6.8129 2.4069 -0.5702 37 1 6.1726 0.0953 -2.4597 38 1 7.7080 0.3731 -1.6020 39 1 7.8706 1.1521 -3.9420 40 1 7.9826 2.5271 -2.8175 41 1 6.7155 4.1884 -4.8739 42 1 7.7097 5.3098 -7.8540 43 1 6.0130 4.1029 -2.5643 44 1 4.4602 3.6615 -3.3201 45 1 5.0699 2.1705 1.0921 46 1 2.6296 0.8944 2.4131 47 1 4.2173 0.1253 2.1690 48 1 5.2817 1.8247 3.6030 49 1 3.9583 1.0261 4.4858 50 1 4.9216 4.0776 2.7672 51 1 3.3469 4.8518 3.0665 52 1 3.5803 4.0928 0.6985 53 1 2.2502 3.2567 1.5376 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 ZINC001208807816.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 06:10:13 Heat of formation + Delta-G solvation = -122.436297 kcal Electronic energy + Delta-G solvation = -31980.404480 eV Core-core repulsion = 27852.132985 eV Total energy + Delta-G solvation = -4128.271495 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.83 seconds Orbital eigenvalues (eV) -40.83403 -39.27512 -38.10970 -37.01288 -34.82347 -34.15577 -32.19569 -31.51034 -31.32600 -31.21625 -29.01543 -27.60798 -25.35133 -24.09011 -23.94099 -23.29252 -22.85496 -22.12128 -20.42411 -20.15511 -19.04249 -17.35805 -17.22340 -16.86957 -16.68147 -16.19933 -15.75028 -15.58849 -15.03486 -15.00437 -14.58517 -14.49860 -14.18468 -14.07952 -13.95809 -13.72694 -13.51643 -13.04209 -12.90216 -12.80766 -12.66764 -12.49998 -12.36821 -12.21259 -11.99359 -11.64402 -11.51782 -11.27874 -11.08907 -11.01623 -10.95757 -10.91691 -10.69913 -10.53013 -10.45767 -10.38096 -10.19619 -10.11899 -9.84101 -9.72121 -9.19494 -8.93526 -8.43984 -7.01804 -5.79899 -3.09810 2.66731 2.80145 3.42057 3.46643 3.47581 3.59464 3.62466 4.20467 4.30680 4.46570 4.56109 4.64407 4.67506 4.77686 4.83334 4.84812 4.96768 4.98320 5.05499 5.12405 5.17687 5.19164 5.26100 5.31930 5.37536 5.40398 5.45426 5.48124 5.52452 5.61630 5.62941 5.69648 5.70700 5.76377 5.77374 5.89619 5.94076 5.97494 6.11542 6.17170 6.19665 6.33910 6.49699 6.63165 6.81210 6.93160 6.93373 7.00330 7.52559 7.66160 8.29347 8.38157 9.49102 10.04084 10.39163 11.42485 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.016263 B = 0.002723 C = 0.002568 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1721.244831 B =10278.998611 C =10902.396285 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.150 4.150 2 C 0.053 3.947 3 O -0.349 6.349 4 C 0.082 3.918 5 H 0.086 0.914 6 C 0.505 3.495 7 O -0.519 6.519 8 N -0.604 5.604 9 C 0.103 3.897 10 C -0.134 4.134 11 C -0.137 4.137 12 C 0.169 3.831 13 H 0.049 0.951 14 N -0.721 5.721 15 C -0.241 4.241 16 H 0.070 0.930 17 C -0.011 4.011 18 N -0.932 5.932 19 Si 0.908 3.092 20 H -0.286 1.286 21 H -0.291 1.291 22 H -0.286 1.286 23 C 0.107 3.893 24 C -0.100 4.100 25 C -0.151 4.151 26 C 0.063 3.937 27 O -0.383 6.383 28 C 0.062 3.938 29 C -0.146 4.146 30 H 0.066 0.934 31 H 0.070 0.930 32 H 0.063 0.937 33 H 0.049 0.951 34 H 0.049 0.951 35 H 0.077 0.923 36 H 0.070 0.930 37 H 0.062 0.938 38 H 0.069 0.931 39 H 0.066 0.934 40 H 0.057 0.943 41 H 0.385 0.615 42 H 0.257 0.743 43 H 0.065 0.935 44 H 0.092 0.908 45 H 0.088 0.912 46 H 0.080 0.920 47 H 0.072 0.928 48 H 0.050 0.950 49 H 0.093 0.907 50 H 0.049 0.951 51 H 0.095 0.905 52 H 0.074 0.926 53 H 0.085 0.915 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -6.160 -10.436 23.604 26.533 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 -0.208 4.208 2 C -0.024 4.024 3 O -0.267 6.267 4 C 0.020 3.980 5 H 0.103 0.897 6 C 0.292 3.708 7 O -0.393 6.393 8 N -0.340 5.340 9 C -0.020 4.020 10 C -0.173 4.173 11 C -0.177 4.177 12 C 0.058 3.942 13 H 0.067 0.933 14 N -0.362 5.362 15 C -0.372 4.372 16 H 0.088 0.912 17 C -0.207 4.207 18 N -0.579 5.579 19 Si 0.739 3.261 20 H -0.212 1.212 21 H -0.216 1.216 22 H -0.213 1.213 23 C -0.015 4.015 24 C -0.118 4.118 25 C -0.189 4.189 26 C -0.014 4.014 27 O -0.302 6.302 28 C -0.015 4.015 29 C -0.183 4.183 30 H 0.085 0.915 31 H 0.089 0.911 32 H 0.082 0.918 33 H 0.067 0.933 34 H 0.068 0.932 35 H 0.095 0.905 36 H 0.089 0.911 37 H 0.081 0.919 38 H 0.087 0.913 39 H 0.085 0.915 40 H 0.076 0.924 41 H 0.218 0.782 42 H 0.066 0.934 43 H 0.084 0.916 44 H 0.111 0.889 45 H 0.106 0.894 46 H 0.099 0.901 47 H 0.091 0.909 48 H 0.068 0.932 49 H 0.111 0.889 50 H 0.067 0.933 51 H 0.113 0.887 52 H 0.093 0.907 53 H 0.103 0.897 Dipole moment (debyes) X Y Z Total from point charges -6.886 -9.945 23.313 26.264 hybrid contribution 0.806 -0.491 -1.331 1.632 sum -6.081 -10.436 21.982 25.081 Atomic orbital electron populations 1.21720 0.93432 1.02140 1.03459 1.22674 0.96091 0.83707 0.99936 1.88044 1.18605 1.26129 1.93889 1.21941 0.83924 0.98684 0.93431 0.89659 1.20611 0.82271 0.83617 0.84338 1.90720 1.47051 1.43375 1.58177 1.48101 1.06872 1.48108 1.30890 1.21888 0.89846 0.95122 0.95119 1.21952 0.99813 0.98434 0.97099 1.22280 1.00334 0.98728 0.96405 1.20470 0.92887 0.93079 0.87796 0.93323 1.42297 1.79946 1.07899 1.06026 1.19149 1.38065 0.93175 0.86801 0.91237 1.24748 1.02221 0.95581 0.98177 1.69645 1.52627 1.04052 1.31611 0.86264 0.77970 0.77861 0.84054 1.21220 1.21640 1.21265 1.22006 1.01321 0.93178 0.85010 1.21650 1.00389 0.96577 0.93234 1.22268 1.03317 0.98396 0.94901 1.22529 0.96352 0.85386 0.97130 1.87933 1.73001 1.22511 1.46729 1.22609 0.99620 0.92007 0.87239 1.22132 1.02589 0.95917 0.97697 0.91530 0.91143 0.91799 0.93297 0.93244 0.90482 0.91136 0.91906 0.91268 0.91511 0.92404 0.78165 0.93365 0.91639 0.88937 0.89397 0.90133 0.90909 0.93199 0.88877 0.93263 0.88730 0.90688 0.89652 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -1.28 10.28 37.16 0.38 -0.89 16 2 C 0.05 0.49 6.10 37.16 0.23 0.72 16 3 O -0.35 -4.38 8.15 -54.85 -0.45 -4.82 16 4 C 0.08 0.93 1.51 -27.89 -0.04 0.88 16 5 H 0.09 0.79 6.67 -51.93 -0.35 0.44 16 6 C 0.51 7.72 6.00 -10.98 -0.07 7.65 16 7 O -0.52 -10.27 15.97 -14.06 -0.22 -10.49 16 8 N -0.60 -8.65 2.97 -172.77 -0.51 -9.16 16 9 C 0.10 1.10 5.20 -3.71 -0.02 1.08 16 10 C -0.13 -1.59 6.08 -26.61 -0.16 -1.75 16 11 C -0.14 -2.25 5.46 -26.69 -0.15 -2.39 16 12 C 0.17 3.30 2.92 -67.81 -0.20 3.10 16 13 H 0.05 1.03 8.08 -51.93 -0.42 0.61 16 14 N -0.72 -17.83 5.13 -53.31 -0.27 -18.11 16 15 C -0.24 -6.62 9.93 -15.06 -0.15 -6.77 16 16 H 0.07 1.86 7.83 -52.49 -0.41 1.45 16 17 C -0.01 -0.31 5.50 -17.43 -0.10 -0.41 16 18 N -0.93 -27.98 13.06 55.49 0.72 -27.25 16 19 Si 0.91 22.31 29.55 -169.99 -5.02 17.29 16 20 H -0.29 -6.95 7.11 56.52 0.40 -6.55 16 21 H -0.29 -7.20 7.11 56.52 0.40 -6.80 16 22 H -0.29 -6.88 7.11 56.52 0.40 -6.47 16 23 C 0.11 1.89 5.89 -3.71 -0.02 1.87 16 24 C -0.10 -0.92 1.73 -90.44 -0.16 -1.08 16 25 C -0.15 -1.12 5.04 -26.59 -0.13 -1.25 16 26 C 0.06 0.47 6.84 37.21 0.25 0.72 16 27 O -0.38 -3.90 10.77 -35.23 -0.38 -4.28 16 28 C 0.06 0.58 6.84 37.20 0.25 0.83 16 29 C -0.15 -1.57 5.02 -26.59 -0.13 -1.71 16 30 H 0.07 0.65 8.14 -51.92 -0.42 0.23 16 31 H 0.07 0.45 8.14 -51.93 -0.42 0.02 16 32 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 33 H 0.05 0.45 8.10 -51.93 -0.42 0.03 16 34 H 0.05 0.36 7.28 -51.93 -0.38 -0.02 16 35 H 0.08 0.62 4.72 -51.92 -0.25 0.37 16 36 H 0.07 0.69 8.14 -51.93 -0.42 0.27 16 37 H 0.06 0.76 8.14 -51.93 -0.42 0.34 16 38 H 0.07 0.67 8.14 -51.93 -0.42 0.25 16 39 H 0.07 1.21 8.14 -51.93 -0.42 0.79 16 40 H 0.06 0.96 8.14 -51.93 -0.42 0.53 16 41 H 0.38 10.10 7.80 -40.82 -0.32 9.78 16 42 H 0.26 7.48 8.31 -40.82 -0.34 7.14 16 43 H 0.07 1.12 8.14 -51.93 -0.42 0.70 16 44 H 0.09 1.87 7.03 -51.93 -0.36 1.51 16 45 H 0.09 0.73 5.95 -51.93 -0.31 0.42 16 46 H 0.08 0.68 6.88 -51.93 -0.36 0.32 16 47 H 0.07 0.40 8.14 -51.93 -0.42 -0.03 16 48 H 0.05 0.32 8.14 -51.93 -0.42 -0.10 16 49 H 0.09 0.55 8.14 -51.93 -0.42 0.13 16 50 H 0.05 0.41 8.14 -51.93 -0.42 -0.01 16 51 H 0.09 0.81 8.14 -51.93 -0.42 0.39 16 52 H 0.07 0.94 7.44 -51.93 -0.39 0.55 16 53 H 0.08 1.06 7.52 -51.93 -0.39 0.67 16 LS Contribution 404.88 15.07 6.10 6.10 Total: -1.00 -33.41 404.88 -9.64 -43.06 By element: Atomic # 1 Polarization: 16.47 SS G_CDS: -9.40 Total: 7.07 kcal Atomic # 6 Polarization: 0.82 SS G_CDS: -0.21 Total: 0.61 kcal Atomic # 7 Polarization: -54.46 SS G_CDS: -0.06 Total: -54.52 kcal Atomic # 8 Polarization: -18.54 SS G_CDS: -1.05 Total: -19.60 kcal Atomic # 14 Polarization: 22.31 SS G_CDS: -5.02 Total: 17.29 kcal Total LS contribution 6.10 Total: 6.10 kcal Total: -33.41 -9.64 -43.06 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. ZINC001208807816.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 -79.381 kcal (2) G-P(sol) polarization free energy of solvation -33.412 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -112.793 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.643 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.055 kcal (6) G-S(sol) free energy of system = (1) + (5) -122.436 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.83 seconds