Wall clock time and date at job start Tue Mar 31 2020 21:09:46 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 N 2 2 C 1.31619 * 1 3 3 Si 1.86806 * 119.99589 * 2 1 4 4 H 1.48500 * 109.46843 * 240.00251 * 3 2 1 5 5 H 1.48493 * 109.47415 * 0.02562 * 3 2 1 6 6 H 1.48496 * 109.46896 * 120.00480 * 3 2 1 7 7 C 1.38807 * 120.00516 * 180.02562 * 2 1 3 8 8 H 1.07995 * 120.00619 * 163.08552 * 7 2 1 9 9 N 1.36942 * 119.99517 * 343.08150 * 7 2 1 10 10 C 1.46920 * 120.63105 * 331.82867 * 9 7 2 11 11 C 1.53194 * 108.77567 * 233.58874 * 10 9 7 12 12 C 1.53046 * 109.31317 * 305.36317 * 11 10 9 13 13 C 1.52994 * 109.46019 * 181.38660 * 12 11 10 14 14 N 1.46501 * 115.54967 * 325.55564 * 13 12 11 15 15 C 1.34777 * 120.00237 * 179.91091 * 14 13 12 16 16 O 1.21288 * 119.99625 * 359.72945 * 15 14 13 17 17 C 1.50694 * 120.00633 * 179.72812 * 15 14 13 18 18 H 1.09003 * 109.47260 * 60.00148 * 17 15 14 19 19 C 1.52995 * 109.47478 * 180.02562 * 17 15 14 20 20 C 1.53004 * 109.47101 * 180.02562 * 19 17 15 21 21 C 1.53005 * 109.46770 * 299.99312 * 20 19 17 22 22 C 1.52994 * 109.47099 * 60.00339 * 21 20 19 23 23 H 1.08997 * 109.47105 * 59.99592 * 22 21 20 24 24 F 1.39898 * 109.47120 * 179.97438 * 22 21 20 25 25 C 1.52997 * 109.47123 * 299.99965 * 22 21 20 26 26 C 1.53000 * 117.51987 * 111.26130 * 13 12 11 27 27 C 1.53001 * 60.00153 * 107.48023 * 26 13 12 28 28 C 1.53044 * 109.52345 * 61.37426 * 12 11 10 29 29 C 1.46933 * 120.62917 * 151.81227 * 9 7 2 30 30 H 0.96992 * 120.00154 * 359.97438 * 1 2 3 31 31 H 1.09002 * 109.58570 * 113.80678 * 10 9 7 32 32 H 1.09000 * 109.58923 * 353.37361 * 10 9 7 33 33 H 1.09005 * 109.49564 * 185.41637 * 11 10 9 34 34 H 1.08995 * 109.50131 * 65.31782 * 11 10 9 35 35 H 1.08998 * 109.46293 * 301.36225 * 12 11 10 36 36 H 0.96995 * 120.00258 * 359.64552 * 14 13 12 37 37 H 1.09005 * 109.46903 * 299.99622 * 19 17 15 38 38 H 1.08997 * 109.47389 * 59.99970 * 19 17 15 39 39 H 1.08997 * 109.47250 * 59.99608 * 20 19 17 40 40 H 1.09002 * 109.46943 * 179.97438 * 20 19 17 41 41 H 1.09001 * 109.46872 * 180.02562 * 21 20 19 42 42 H 1.08997 * 109.47475 * 300.00158 * 21 20 19 43 43 H 1.09003 * 109.47251 * 299.99855 * 25 22 21 44 44 H 1.09003 * 109.47545 * 179.97438 * 25 22 21 45 45 H 1.09003 * 117.49749 * 214.97456 * 26 13 12 46 46 H 1.08994 * 117.49514 * 359.97438 * 26 13 12 47 47 H 1.08994 * 117.49724 * 252.51456 * 27 26 13 48 48 H 1.08999 * 117.49800 * 107.48780 * 27 26 13 49 49 H 1.09000 * 109.49896 * 58.57536 * 28 12 11 50 50 H 1.08999 * 109.49511 * 178.67375 * 28 12 11 51 51 H 1.09001 * 109.57856 * 246.19949 * 29 9 7 52 52 H 1.09003 * 109.58551 * 6.47631 * 29 9 7 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 7 0.0000 0.0000 0.0000 2 6 1.3162 0.0000 0.0000 3 14 2.2501 1.6179 0.0000 4 1 3.1038 1.6965 -1.2126 5 1 1.2851 2.7465 0.0006 6 1 3.1039 1.6965 1.2124 7 6 2.0103 -1.2020 -0.0005 8 1 3.0552 -1.2222 -0.2726 9 7 1.3701 -2.3625 0.3441 10 6 0.2263 -2.3410 1.2659 11 6 0.4977 -3.3213 2.4114 12 6 0.8121 -4.7025 1.8319 13 6 1.0498 -5.6923 2.9740 14 7 1.6988 -5.1388 4.1651 15 6 1.9496 -5.9315 5.2258 16 8 1.6335 -7.1021 5.1961 17 6 2.6226 -5.3637 6.4487 18 1 2.0117 -4.5598 6.8595 19 6 2.7889 -6.4653 7.4973 20 6 3.4717 -5.8885 8.7391 21 6 4.8468 -5.3378 8.3555 22 6 4.6806 -4.2362 7.3069 23 1 4.0691 -3.4329 7.7177 24 9 5.9378 -3.7324 6.9566 25 6 3.9977 -4.8130 6.0652 26 6 0.0078 -6.7927 3.1842 27 6 1.3782 -7.1387 2.5984 28 6 2.0676 -4.6179 0.9608 29 6 1.8138 -3.6527 -0.2013 30 1 -0.4850 0.8400 0.0004 31 1 -0.6769 -2.6411 0.7346 32 1 0.0995 -1.3357 1.6676 33 1 -0.3829 -3.3868 3.0506 34 1 1.3475 -2.9704 2.9969 35 1 -0.0281 -5.0419 1.2261 36 1 1.9515 -4.2026 4.1889 37 1 1.8093 -6.8573 7.7709 38 1 3.4001 -7.2688 7.0864 39 1 2.8602 -5.0851 9.1499 40 1 3.5898 -6.6732 9.4863 41 1 5.3334 -4.9273 9.2403 42 1 5.4583 -6.1412 7.9448 43 1 4.6092 -5.6164 5.6544 44 1 3.8789 -4.0281 5.3182 45 1 -0.1950 -7.1047 4.2088 46 1 -0.8476 -6.8113 2.5090 47 1 1.4244 -7.3851 1.5377 48 1 2.0770 -7.6784 3.2376 49 1 2.9024 -4.2546 1.5601 50 1 2.3045 -5.6064 0.5674 51 1 1.0400 -4.0595 -0.8524 52 1 2.7331 -3.5123 -0.7699 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) 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=-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 ZINC001000150300.mol2 52 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 21:09:46 Heat of formation + Delta-G solvation = -63.339368 kcal Electronic energy + Delta-G solvation = -31078.498427 eV Core-core repulsion = 26992.473835 eV Total energy + Delta-G solvation = -4086.024592 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 338.211 amu Computer time = 1.11 seconds Orbital eigenvalues (eV) -47.84872 -40.74882 -38.69788 -37.37003 -35.88854 -33.27843 -32.77500 -31.11079 -30.45411 -30.37978 -29.65435 -25.64102 -24.38479 -23.05733 -22.70976 -22.50566 -21.69009 -21.01308 -20.11270 -19.81003 -18.85650 -17.69220 -16.81870 -16.22611 -16.02744 -15.64330 -15.51033 -15.09317 -14.85131 -14.32945 -14.22813 -14.01633 -13.93233 -13.66446 -13.52940 -13.44257 -13.05606 -12.97754 -12.81824 -12.69837 -12.32076 -12.01821 -11.66652 -11.51591 -11.40788 -11.21221 -11.12219 -11.05893 -10.97235 -10.87179 -10.73224 -10.73000 -10.59144 -10.40185 -10.27585 -10.14034 -9.90627 -9.64775 -9.52822 -9.31269 -8.51568 -8.41588 -6.68640 -5.80951 -3.23460 2.50646 3.06943 3.36688 3.42671 3.43791 4.05272 4.11425 4.12726 4.23980 4.47967 4.48892 4.63814 4.69592 4.77938 4.84686 4.90697 4.96877 5.12899 5.15833 5.21084 5.26038 5.34485 5.41734 5.48326 5.59373 5.61076 5.62800 5.68605 5.74740 5.77050 5.80749 5.87231 5.89809 5.97150 6.03460 6.08511 6.17364 6.29547 6.46678 6.49367 6.54541 6.56055 6.71486 6.74271 6.80691 6.98457 7.31570 7.54187 7.61929 7.77511 8.20492 8.43349 9.19714 9.83081 10.39999 11.27513 Molecular weight = 338.21amu Principal moments of inertia in cm(-1) A = 0.010808 B = 0.003382 C = 0.002769 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2590.145355 B = 8276.574785 C =10108.487219 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 N -0.903 5.903 2 C 0.003 3.997 3 Si 0.901 3.099 4 H -0.283 1.283 5 H -0.291 1.291 6 H -0.284 1.284 7 C -0.253 4.253 8 H 0.064 0.936 9 N -0.592 5.592 10 C 0.172 3.828 11 C -0.133 4.133 12 C -0.042 4.042 13 C 0.108 3.892 14 N -0.687 5.687 15 C 0.517 3.483 16 O -0.537 6.537 17 C -0.104 4.104 18 H 0.100 0.900 19 C -0.101 4.101 20 C -0.117 4.117 21 C -0.147 4.147 22 C 0.094 3.906 23 H 0.086 0.914 24 F -0.212 7.212 25 C -0.139 4.139 26 C -0.179 4.179 27 C -0.177 4.177 28 C -0.124 4.124 29 C 0.144 3.856 30 H 0.254 0.746 31 H 0.018 0.982 32 H 0.088 0.912 33 H 0.051 0.949 34 H 0.051 0.949 35 H 0.078 0.922 36 H 0.407 0.593 37 H 0.074 0.926 38 H 0.073 0.927 39 H 0.067 0.933 40 H 0.073 0.927 41 H 0.075 0.925 42 H 0.075 0.925 43 H 0.081 0.919 44 H 0.082 0.918 45 H 0.104 0.896 46 H 0.090 0.910 47 H 0.091 0.909 48 H 0.103 0.897 49 H 0.057 0.943 50 H 0.052 0.948 51 H 0.017 0.983 52 H 0.053 0.947 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 4.652 -12.226 15.887 20.579 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 N -0.548 5.548 2 C -0.195 4.195 3 Si 0.731 3.269 4 H -0.209 1.209 5 H -0.216 1.216 6 H -0.210 1.210 7 C -0.383 4.383 8 H 0.082 0.918 9 N -0.315 5.315 10 C 0.046 3.954 11 C -0.173 4.173 12 C -0.061 4.061 13 C 0.021 3.979 14 N -0.337 5.337 15 C 0.303 3.697 16 O -0.415 6.415 17 C -0.126 4.126 18 H 0.118 0.882 19 C -0.139 4.139 20 C -0.154 4.154 21 C -0.185 4.185 22 C 0.058 3.942 23 H 0.104 0.896 24 F -0.193 7.193 25 C -0.177 4.177 26 C -0.217 4.217 27 C -0.215 4.215 28 C -0.163 4.163 29 C 0.018 3.982 30 H 0.064 0.936 31 H 0.036 0.964 32 H 0.106 0.894 33 H 0.070 0.930 34 H 0.069 0.931 35 H 0.096 0.904 36 H 0.244 0.756 37 H 0.093 0.907 38 H 0.091 0.909 39 H 0.086 0.914 40 H 0.092 0.908 41 H 0.093 0.907 42 H 0.094 0.906 43 H 0.100 0.900 44 H 0.101 0.899 45 H 0.123 0.877 46 H 0.109 0.891 47 H 0.110 0.890 48 H 0.122 0.878 49 H 0.075 0.925 50 H 0.070 0.930 51 H 0.035 0.965 52 H 0.072 0.928 Dipole moment (debyes) X Y Z Total from point charges 4.354 -12.860 15.831 20.855 hybrid contribution 0.584 1.385 -0.050 1.504 sum 4.937 -11.475 15.781 20.127 Atomic orbital electron populations 1.70016 1.05244 1.25608 1.53885 1.25034 0.95261 0.98365 1.00889 0.86390 0.78930 0.83413 0.78163 1.20884 1.21642 1.21042 1.19147 0.92531 0.84828 1.41792 0.91779 1.44050 1.35867 1.01544 1.50017 1.20759 0.88723 0.98024 0.87899 1.22210 0.99749 0.95159 1.00149 1.20777 0.98897 0.93792 0.92674 1.20941 1.00088 0.89296 0.87596 1.45492 1.60158 1.13708 1.14353 1.20474 0.78747 0.86456 0.84005 1.90651 1.52405 1.16555 1.81862 1.21287 0.96502 1.00129 0.94640 0.88166 1.21386 1.02003 0.96832 0.93650 1.21504 0.95179 1.00926 0.97828 1.22165 0.98824 0.98553 0.98939 1.21535 0.80834 0.96465 0.95350 0.89646 1.92832 1.43915 1.88988 1.93563 1.22131 0.95471 1.02152 0.97949 1.23415 0.92824 1.02486 1.02988 1.23317 0.99597 0.97663 1.00916 1.22050 0.96675 0.99107 0.98491 1.20915 0.97615 0.86920 0.92763 0.93588 0.96381 0.89429 0.93044 0.93078 0.90367 0.75581 0.90684 0.90865 0.91416 0.90797 0.90677 0.90616 0.90027 0.89906 0.87750 0.89141 0.89042 0.87830 0.92459 0.92955 0.96548 0.92819 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 18. 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 N -0.90 -25.67 11.20 55.49 0.62 -25.05 16 2 C 0.00 0.08 4.92 -17.43 -0.09 0.00 16 3 Si 0.90 21.30 29.59 -169.99 -5.03 16.27 16 4 H -0.28 -6.64 7.11 56.52 0.40 -6.24 16 5 H -0.29 -6.93 7.11 56.52 0.40 -6.52 16 6 H -0.28 -6.63 7.11 56.52 0.40 -6.23 16 7 C -0.25 -6.79 9.58 -15.06 -0.14 -6.93 16 8 H 0.06 1.70 7.88 -52.49 -0.41 1.28 16 9 N -0.59 -14.29 2.99 -172.32 -0.52 -14.81 16 10 C 0.17 3.90 5.30 -3.71 -0.02 3.88 16 11 C -0.13 -2.33 4.83 -26.61 -0.13 -2.45 16 12 C -0.04 -0.67 2.28 -90.58 -0.21 -0.87 16 13 C 0.11 1.52 2.48 -131.82 -0.33 1.19 16 14 N -0.69 -8.72 5.28 -47.61 -0.25 -8.97 16 15 C 0.52 6.33 6.86 -10.99 -0.08 6.25 16 16 O -0.54 -7.94 11.46 5.55 0.06 -7.88 16 17 C -0.10 -0.93 2.53 -91.77 -0.23 -1.17 16 18 H 0.10 0.76 8.14 -51.93 -0.42 0.34 16 19 C -0.10 -0.84 4.49 -26.73 -0.12 -0.96 16 20 C -0.12 -0.74 5.92 -26.73 -0.16 -0.89 16 21 C -0.15 -1.03 5.66 -26.73 -0.15 -1.18 16 22 C 0.09 0.80 3.87 -26.74 -0.10 0.69 16 23 H 0.09 0.61 8.14 -51.93 -0.42 0.18 16 24 F -0.21 -2.42 17.08 2.25 0.04 -2.39 16 25 C -0.14 -1.25 4.84 -26.73 -0.13 -1.38 16 26 C -0.18 -2.49 9.36 -26.73 -0.25 -2.74 16 27 C -0.18 -2.45 8.91 -26.73 -0.24 -2.69 16 28 C -0.12 -2.06 5.22 -26.61 -0.14 -2.20 16 29 C 0.14 2.93 6.52 -3.71 -0.02 2.91 16 30 H 0.25 7.02 8.31 -40.82 -0.34 6.68 16 31 H 0.02 0.44 8.14 -51.93 -0.42 0.01 16 32 H 0.09 2.24 6.06 -51.93 -0.31 1.93 16 33 H 0.05 0.84 8.14 -51.93 -0.42 0.41 16 34 H 0.05 0.87 6.50 -51.93 -0.34 0.53 16 35 H 0.08 1.27 7.90 -51.93 -0.41 0.86 16 36 H 0.41 4.90 6.08 -40.82 -0.25 4.65 16 37 H 0.07 0.67 8.10 -51.93 -0.42 0.25 16 38 H 0.07 0.69 8.10 -51.93 -0.42 0.27 16 39 H 0.07 0.38 8.14 -51.93 -0.42 -0.05 16 40 H 0.07 0.41 8.14 -51.93 -0.42 -0.02 16 41 H 0.07 0.47 8.14 -51.93 -0.42 0.05 16 42 H 0.08 0.56 8.14 -51.93 -0.42 0.14 16 43 H 0.08 0.80 8.14 -51.93 -0.42 0.38 16 44 H 0.08 0.78 7.56 -51.93 -0.39 0.38 16 45 H 0.10 1.56 6.36 -51.93 -0.33 1.23 16 46 H 0.09 1.18 8.05 -51.93 -0.42 0.76 16 47 H 0.09 1.19 7.60 -51.93 -0.39 0.80 16 48 H 0.10 1.56 6.39 -51.93 -0.33 1.23 16 49 H 0.06 0.99 8.14 -51.93 -0.42 0.56 16 50 H 0.05 0.78 7.25 -51.93 -0.38 0.40 16 51 H 0.02 0.34 8.14 -51.93 -0.42 -0.08 16 52 H 0.05 1.08 7.93 -51.93 -0.41 0.67 16 LS Contribution 392.13 15.07 5.91 5.91 Total: -1.00 -29.90 392.13 -10.70 -40.60 By element: Atomic # 1 Polarization: 13.87 SS G_CDS: -9.01 Total: 4.86 kcal Atomic # 6 Polarization: -6.02 SS G_CDS: -2.53 Total: -8.55 kcal Atomic # 7 Polarization: -48.68 SS G_CDS: -0.15 Total: -48.83 kcal Atomic # 8 Polarization: -7.94 SS G_CDS: 0.06 Total: -7.88 kcal Atomic # 9 Polarization: -2.42 SS G_CDS: 0.04 Total: -2.39 kcal Atomic # 14 Polarization: 21.30 SS G_CDS: -5.03 Total: 16.27 kcal Total LS contribution 5.91 Total: 5.91 kcal Total: -29.90 -10.70 -40.60 kcal The number of atoms in the molecule is 52 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. ZINC001000150300.mol2 52 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 -22.740 kcal (2) G-P(sol) polarization free energy of solvation -29.896 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -52.636 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.704 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.599 kcal (6) G-S(sol) free energy of system = (1) + (5) -63.339 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.11 seconds