Wall clock time and date at job start Tue Mar 31 2020 23:38:29 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 1.53004 * 1 3 3 H 1.09000 * 109.52214 * 2 1 4 4 C 1.53043 * 109.49623 * 239.91481 * 2 1 3 5 5 C 1.53031 * 109.53788 * 301.41289 * 4 2 1 6 6 C 1.53195 * 109.31701 * 298.64013 * 5 4 2 7 7 N 1.46919 * 108.77565 * 54.63360 * 6 5 4 8 8 C 1.34773 * 120.63217 * 126.41968 * 7 6 5 9 9 O 1.21684 * 120.00219 * 185.12702 * 8 7 6 10 10 C 1.46374 * 120.00031 * 5.12653 * 8 7 6 11 11 H 1.08007 * 119.99423 * 345.67657 * 10 8 7 12 12 C 1.40050 * 120.00125 * 165.67730 * 10 8 7 13 13 N 1.30674 * 119.99877 * 166.66575 * 12 10 8 14 14 Si 1.86789 * 120.00111 * 346.66881 * 12 10 8 15 15 H 1.48499 * 109.47323 * 84.79828 * 14 12 10 16 16 H 1.48504 * 109.47130 * 204.79967 * 14 12 10 17 17 H 1.48506 * 109.47038 * 324.79771 * 14 12 10 18 18 C 1.46933 * 118.73908 * 306.39396 * 7 6 5 19 19 H 1.09003 * 109.58359 * 293.82426 * 18 7 6 20 20 C 1.53002 * 109.58715 * 173.39772 * 18 7 6 21 21 C 1.52999 * 109.47240 * 179.20859 * 20 18 7 22 22 N 1.46493 * 109.47100 * 180.02562 * 21 20 18 23 23 C 1.34776 * 120.00002 * 179.97438 * 22 21 20 24 24 O 1.21519 * 119.99830 * 0.02562 * 23 22 21 25 25 O 1.34640 * 120.00254 * 180.02562 * 23 22 21 26 26 C 1.45198 * 116.99964 * 179.97438 * 25 23 22 27 27 C 1.53003 * 109.46937 * 60.00264 * 26 25 23 28 28 C 1.53002 * 109.47018 * 179.97438 * 26 25 23 29 29 C 1.52995 * 109.47467 * 300.00068 * 26 25 23 30 30 H 1.08999 * 109.47124 * 299.92799 * 1 2 3 31 31 H 1.09002 * 109.46791 * 59.92136 * 1 2 3 32 32 H 1.08993 * 109.47054 * 179.97438 * 1 2 3 33 33 H 1.09000 * 109.45218 * 181.39521 * 4 2 1 34 34 H 1.08992 * 109.45742 * 61.44173 * 4 2 1 35 35 H 1.09001 * 109.49909 * 178.68058 * 5 4 2 36 36 H 1.09004 * 109.49746 * 58.59029 * 5 4 2 37 37 H 1.09007 * 109.58114 * 294.84320 * 6 5 4 38 38 H 1.09002 * 109.70676 * 174.49587 * 6 5 4 39 39 H 0.96997 * 119.99999 * 179.97438 * 13 12 10 40 40 H 1.08998 * 109.47247 * 299.21054 * 20 18 7 41 41 H 1.08998 * 109.46926 * 59.21016 * 20 18 7 42 42 H 1.09006 * 109.46667 * 300.02223 * 21 20 18 43 43 H 1.09005 * 109.46913 * 60.01849 * 21 20 18 44 44 H 0.97001 * 120.00152 * 359.97438 * 22 21 20 45 45 H 1.08999 * 109.47288 * 59.99509 * 27 26 25 46 46 H 1.09000 * 109.47029 * 179.97438 * 27 26 25 47 47 H 1.09005 * 109.47210 * 299.99617 * 27 26 25 48 48 H 1.09004 * 109.46946 * 60.00533 * 28 26 25 49 49 H 1.08999 * 109.47052 * 179.97438 * 28 26 25 50 50 H 1.08999 * 109.47217 * 300.00497 * 28 26 25 51 51 H 1.09005 * 109.47059 * 60.00151 * 29 26 25 52 52 H 1.08999 * 109.47465 * 180.02562 * 29 26 25 53 53 H 1.08995 * 109.47138 * 300.00048 * 29 26 25 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 1.8943 1.0273 0.0000 4 6 2.0408 -0.7232 -1.2483 5 6 1.5030 -2.1558 -1.2658 6 6 2.0139 -2.9040 -0.0305 7 7 1.6514 -2.1381 1.1697 8 6 0.9747 -2.7219 2.1785 9 8 0.5989 -2.0557 3.1248 10 6 0.6917 -4.1574 2.1357 11 1 0.8122 -4.7042 1.2121 12 6 0.2648 -4.8217 3.2923 13 7 -0.2346 -6.0263 3.2072 14 14 0.4093 -3.9860 4.9566 15 1 -0.7775 -3.1222 5.1814 16 1 0.4806 -5.0166 6.0234 17 1 1.6396 -3.1550 4.9880 18 6 2.0413 -0.7237 1.2496 19 1 3.1275 -0.6462 1.2981 20 6 1.4228 -0.0909 2.4979 21 6 1.8464 1.3764 2.5891 22 7 1.2548 1.9820 3.7846 23 6 1.4924 3.2772 4.0719 24 8 2.1971 3.9427 3.3389 25 8 0.9491 3.8337 5.1709 26 6 1.2484 5.2329 5.4179 27 6 0.7517 6.0760 4.2418 28 6 0.5482 5.6854 6.7008 29 6 2.7601 5.4117 5.5712 30 1 -0.3633 0.5127 0.8906 31 1 -0.3633 0.5151 -0.8893 32 1 -0.3633 -1.0276 -0.0005 33 1 3.1305 -0.7445 -1.2351 34 1 1.6989 -0.1959 -2.1388 35 1 1.8480 -2.6629 -2.1669 36 1 0.4133 -2.1355 -1.2540 37 1 3.0979 -3.0044 -0.0865 38 1 1.5574 -3.8928 0.0152 39 1 -0.5300 -6.4866 4.0083 40 1 0.3363 -0.1523 2.4361 41 1 1.7670 -0.6242 3.3840 42 1 2.9330 1.4377 2.6506 43 1 1.5019 1.9097 1.7031 44 1 0.6919 1.4509 4.3695 45 1 -0.3253 5.9486 4.1326 46 1 0.9760 7.1264 4.4274 47 1 1.2502 5.7538 3.3275 48 1 0.9017 5.0848 7.5390 49 1 0.7733 6.7356 6.8865 50 1 -0.5288 5.5580 6.5913 51 1 3.2587 5.0894 4.6569 52 1 2.9848 6.4620 5.7571 53 1 3.1140 4.8111 6.4090 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 ZINC000846440858.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 23:38:29 Heat of formation + Delta-G solvation = -126.247611 kcal Electronic energy + Delta-G solvation = -31835.247459 eV Core-core repulsion = 27706.810693 eV Total energy + Delta-G solvation = -4128.436766 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.10 seconds Orbital eigenvalues (eV) -40.71267 -39.81290 -37.46601 -36.59654 -35.14806 -34.13276 -33.03701 -32.70229 -31.99853 -28.94238 -27.57382 -27.52165 -27.16459 -26.14799 -24.37315 -23.36679 -22.06058 -20.94877 -20.13053 -19.88380 -18.21775 -17.89046 -16.78359 -16.59056 -16.26430 -15.79854 -15.51121 -15.24584 -14.82072 -14.56281 -14.46218 -14.36705 -13.90010 -13.77352 -13.45223 -13.22628 -13.15041 -12.67317 -12.47240 -12.37820 -12.28891 -12.13794 -12.04068 -12.02600 -11.98164 -11.61105 -11.54970 -11.43550 -11.31433 -11.15537 -11.03025 -10.72449 -10.69794 -10.44289 -10.37046 -10.22463 -10.13862 -10.01633 -9.93671 -9.45122 -9.02826 -8.95711 -7.51212 -7.46755 -6.66765 -4.85814 2.25600 2.93318 3.40386 3.45232 3.64183 4.08620 4.15365 4.26931 4.48400 4.56899 4.60955 4.75188 5.02171 5.08656 5.12285 5.28500 5.34466 5.36252 5.38334 5.49027 5.51189 5.52781 5.55920 5.60500 5.64535 5.70178 5.74956 5.80850 5.84917 5.87852 5.95862 5.99551 6.08965 6.14153 6.14274 6.18800 6.21671 6.35252 6.39005 6.43890 6.50263 6.55327 6.60854 6.72887 6.85191 7.00842 7.11078 7.58530 7.62410 7.88025 8.29041 8.48432 8.69904 9.10835 10.01360 10.34202 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011712 B = 0.003317 C = 0.002706 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2390.172662 B = 8439.979310 C =10345.115724 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.144 4.144 2 C -0.107 4.107 3 H 0.071 0.929 4 C -0.110 4.110 5 C -0.138 4.138 6 C 0.120 3.880 7 N -0.625 5.625 8 C 0.557 3.443 9 O -0.611 6.611 10 C -0.536 4.536 11 H 0.089 0.911 12 C 0.104 3.896 13 N -0.826 5.826 14 Si 0.966 3.034 15 H -0.276 1.276 16 H -0.323 1.323 17 H -0.269 1.269 18 C 0.166 3.834 19 H 0.055 0.945 20 C -0.118 4.118 21 C 0.124 3.876 22 N -0.702 5.702 23 C 0.647 3.353 24 O -0.576 6.576 25 O -0.367 6.367 26 C 0.136 3.864 27 C -0.183 4.183 28 C -0.141 4.141 29 C -0.183 4.183 30 H 0.055 0.945 31 H 0.043 0.957 32 H 0.065 0.935 33 H 0.058 0.942 34 H 0.056 0.944 35 H 0.062 0.938 36 H 0.068 0.932 37 H 0.047 0.953 38 H 0.097 0.903 39 H 0.282 0.718 40 H 0.091 0.909 41 H 0.100 0.900 42 H 0.061 0.939 43 H 0.065 0.935 44 H 0.409 0.591 45 H 0.059 0.941 46 H 0.068 0.932 47 H 0.088 0.912 48 H 0.066 0.934 49 H 0.078 0.922 50 H 0.066 0.934 51 H 0.088 0.912 52 H 0.068 0.932 53 H 0.059 0.941 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 3.451 17.420 -1.195 17.799 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 -0.201 4.201 2 C -0.127 4.127 3 H 0.089 0.911 4 C -0.148 4.148 5 C -0.177 4.177 6 C -0.003 4.003 7 N -0.358 5.358 8 C 0.367 3.633 9 O -0.504 6.504 10 C -0.571 4.571 11 H 0.107 0.893 12 C -0.114 4.114 13 N -0.456 5.456 14 Si 0.798 3.202 15 H -0.202 1.202 16 H -0.254 1.254 17 H -0.195 1.195 18 C 0.061 3.939 19 H 0.073 0.927 20 C -0.156 4.156 21 C 0.001 3.999 22 N -0.361 5.361 23 C 0.400 3.600 24 O -0.466 6.466 25 O -0.282 6.282 26 C 0.099 3.901 27 C -0.240 4.240 28 C -0.198 4.198 29 C -0.240 4.240 30 H 0.074 0.926 31 H 0.062 0.938 32 H 0.084 0.916 33 H 0.077 0.923 34 H 0.074 0.926 35 H 0.081 0.919 36 H 0.087 0.913 37 H 0.065 0.935 38 H 0.115 0.885 39 H 0.092 0.908 40 H 0.109 0.891 41 H 0.119 0.881 42 H 0.080 0.920 43 H 0.083 0.917 44 H 0.244 0.756 45 H 0.078 0.922 46 H 0.087 0.913 47 H 0.107 0.893 48 H 0.085 0.915 49 H 0.097 0.903 50 H 0.085 0.915 51 H 0.107 0.893 52 H 0.087 0.913 53 H 0.078 0.922 Dipole moment (debyes) X Y Z Total from point charges 3.532 17.949 -1.039 18.322 hybrid contribution -0.140 0.016 0.715 0.728 sum 3.392 17.964 -0.324 18.285 Atomic orbital electron populations 1.21856 0.94917 1.02686 1.00627 1.21602 0.96793 0.98788 0.95484 0.91100 1.21499 1.00031 0.96083 0.97178 1.21999 1.01703 0.95718 0.98238 1.21503 0.98600 0.96497 0.83739 1.47663 1.60098 1.08559 1.19502 1.18197 0.76408 0.88720 0.79952 1.90227 1.59702 1.64157 1.36339 1.20821 1.46060 0.91394 0.98859 0.89285 1.25750 0.89368 0.94099 1.02216 1.69583 1.30712 1.13126 1.32130 0.85249 0.80950 0.76122 0.77842 1.20205 1.25415 1.19471 1.20782 0.97040 0.82636 0.93425 0.92733 1.22466 1.03464 0.89970 0.99658 1.21778 0.97587 0.95479 0.85025 1.44838 1.54004 1.08152 1.29066 1.18123 0.78861 0.83049 0.79924 1.90865 1.42118 1.61874 1.51734 1.86316 1.69950 1.28702 1.43184 1.22016 0.95781 0.76379 0.95947 1.22514 1.01845 0.99771 0.99880 1.21857 1.01191 1.01402 0.95345 1.22511 0.94747 1.02464 1.04304 0.92622 0.93776 0.91597 0.92336 0.92560 0.91894 0.91313 0.93518 0.88452 0.90828 0.89066 0.88138 0.92050 0.91696 0.75576 0.92232 0.91345 0.89308 0.91478 0.90295 0.91477 0.89308 0.91339 0.92217 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -0.14 -2.14 8.20 37.16 0.30 -1.84 16 2 C -0.11 -1.51 2.32 -90.50 -0.21 -1.72 16 3 H 0.07 0.92 6.79 -51.93 -0.35 0.57 16 4 C -0.11 -1.41 5.43 -26.69 -0.14 -1.56 16 5 C -0.14 -1.93 5.74 -26.61 -0.15 -2.09 16 6 C 0.12 2.05 6.32 -3.71 -0.02 2.02 16 7 N -0.62 -12.28 2.41 -166.87 -0.40 -12.68 16 8 C 0.56 13.48 7.17 -12.99 -0.09 13.39 16 9 O -0.61 -15.44 8.16 5.20 0.04 -15.40 16 10 C -0.54 -14.22 9.36 -35.63 -0.33 -14.55 16 11 H 0.09 2.37 5.93 -52.48 -0.31 2.06 16 12 C 0.10 2.84 5.52 -17.37 -0.10 2.74 16 13 N -0.83 -22.76 13.92 55.55 0.77 -21.99 16 14 Si 0.97 24.23 25.79 -169.99 -4.38 19.84 16 15 H -0.28 -7.12 7.11 56.52 0.40 -6.71 16 16 H -0.32 -7.83 7.11 56.52 0.40 -7.43 16 17 H -0.27 -6.94 6.92 56.52 0.39 -6.55 16 18 C 0.17 2.77 2.71 -67.60 -0.18 2.59 16 19 H 0.05 0.88 8.14 -51.93 -0.42 0.45 16 20 C -0.12 -2.04 2.79 -26.73 -0.07 -2.11 16 21 C 0.12 1.85 5.36 -4.05 -0.02 1.83 16 22 N -0.70 -10.45 5.56 -65.28 -0.36 -10.81 16 23 C 0.65 9.95 8.06 54.06 0.44 10.38 16 24 O -0.58 -9.64 11.88 -19.29 -0.23 -9.87 16 25 O -0.37 -5.12 9.94 -40.33 -0.40 -5.52 16 26 C 0.14 1.52 1.13 -90.62 -0.10 1.42 16 27 C -0.18 -1.96 8.37 37.16 0.31 -1.65 16 28 C -0.14 -1.19 8.85 37.16 0.33 -0.86 16 29 C -0.18 -1.98 8.37 37.15 0.31 -1.67 16 30 H 0.05 0.86 6.32 -51.93 -0.33 0.53 16 31 H 0.04 0.57 8.14 -51.93 -0.42 0.15 16 32 H 0.07 1.13 5.97 -51.93 -0.31 0.82 16 33 H 0.06 0.71 8.14 -51.93 -0.42 0.29 16 34 H 0.06 0.65 8.14 -51.93 -0.42 0.22 16 35 H 0.06 0.76 8.14 -51.93 -0.42 0.33 16 36 H 0.07 1.04 6.33 -51.93 -0.33 0.71 16 37 H 0.05 0.73 8.14 -51.93 -0.42 0.31 16 38 H 0.10 1.83 5.38 -51.93 -0.28 1.55 16 39 H 0.28 7.18 8.29 -40.82 -0.34 6.84 16 40 H 0.09 1.74 5.23 -51.93 -0.27 1.47 16 41 H 0.10 2.04 6.37 -51.93 -0.33 1.71 16 42 H 0.06 0.91 8.14 -51.93 -0.42 0.49 16 43 H 0.06 0.95 6.61 -51.93 -0.34 0.60 16 44 H 0.41 5.87 8.58 -40.82 -0.35 5.52 16 45 H 0.06 0.62 8.14 -51.93 -0.42 0.19 16 46 H 0.07 0.58 8.14 -51.93 -0.42 0.15 16 47 H 0.09 1.16 5.88 -51.93 -0.31 0.86 16 48 H 0.07 0.56 8.14 -51.93 -0.42 0.13 16 49 H 0.08 0.50 8.14 -51.93 -0.42 0.07 16 50 H 0.07 0.55 8.14 -51.93 -0.42 0.13 16 51 H 0.09 1.17 5.88 -51.93 -0.31 0.87 16 52 H 0.07 0.58 8.14 -51.93 -0.42 0.16 16 53 H 0.06 0.63 8.14 -51.93 -0.42 0.20 16 LS Contribution 392.03 15.07 5.91 5.91 Total: -1.00 -29.78 392.03 -7.68 -37.46 By element: Atomic # 1 Polarization: 15.59 SS G_CDS: -8.88 Total: 6.71 kcal Atomic # 6 Polarization: 6.08 SS G_CDS: 0.26 Total: 6.33 kcal Atomic # 7 Polarization: -45.48 SS G_CDS: 0.01 Total: -45.47 kcal Atomic # 8 Polarization: -30.19 SS G_CDS: -0.59 Total: -30.78 kcal Atomic # 14 Polarization: 24.23 SS G_CDS: -4.38 Total: 19.84 kcal Total LS contribution 5.91 Total: 5.91 kcal Total: -29.78 -7.68 -37.46 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. ZINC000846440858.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 -88.784 kcal (2) G-P(sol) polarization free energy of solvation -29.784 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -118.569 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.679 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -37.463 kcal (6) G-S(sol) free energy of system = (1) + (5) -126.248 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.11 seconds