Wall clock time and date at job start Tue Mar 31 2020 23:25:31 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 O 1.45194 * 1 3 3 C 1.34234 * 117.00261 * 2 1 4 4 O 1.20827 * 119.99722 * 359.97438 * 3 2 1 5 5 C 1.50701 * 120.00114 * 179.97438 * 3 2 1 6 6 C 1.52998 * 109.46983 * 179.97438 * 5 3 2 7 7 N 1.46498 * 109.47259 * 180.02562 * 6 5 3 8 8 C 1.36940 * 119.99419 * 269.72915 * 7 6 5 9 9 H 1.08000 * 120.00037 * 149.77769 * 8 7 6 10 10 C 1.38815 * 120.00121 * 329.76734 * 8 7 6 11 11 N 1.31617 * 120.00012 * 333.84628 * 10 8 7 12 12 Si 1.86806 * 119.99671 * 153.84358 * 10 8 7 13 13 H 1.48502 * 109.47056 * 90.00168 * 12 10 8 14 14 H 1.48497 * 109.46978 * 210.00463 * 12 10 8 15 15 H 1.48501 * 109.47120 * 330.00424 * 12 10 8 16 16 C 1.46495 * 120.00289 * 89.99827 * 7 6 5 17 17 H 1.08996 * 109.47171 * 356.21404 * 16 7 6 18 18 C 1.53000 * 109.47437 * 236.20995 * 16 7 6 19 19 C 1.50704 * 109.47136 * 116.20823 * 16 7 6 20 20 O 1.21285 * 119.99763 * 9.22028 * 19 16 7 21 21 N 1.34779 * 119.99952 * 189.21906 * 19 16 7 22 22 C 1.46924 * 120.63115 * 3.28963 * 21 19 16 23 23 H 1.08999 * 109.58584 * 6.62412 * 22 21 19 24 24 C 1.52998 * 109.58536 * 246.20383 * 22 21 19 25 25 C 1.53625 * 108.54091 * 126.36946 * 22 21 19 26 26 C 1.53031 * 109.24407 * 54.85636 * 25 22 21 27 27 C 1.53043 * 109.53617 * 298.50830 * 26 25 22 28 28 C 1.46927 * 120.62683 * 183.56798 * 21 19 16 29 29 H 1.08998 * 109.58598 * 113.80000 * 28 21 19 30 30 C 1.53002 * 109.58797 * 353.51655 * 28 21 19 31 31 H 1.08996 * 109.47522 * 300.00500 * 1 2 3 32 32 H 1.09009 * 109.46967 * 60.00155 * 1 2 3 33 33 H 1.09002 * 109.47475 * 179.97438 * 1 2 3 34 34 H 1.08997 * 109.47129 * 60.00051 * 5 3 2 35 35 H 1.09000 * 109.47015 * 299.99833 * 5 3 2 36 36 H 1.09010 * 109.47104 * 59.99873 * 6 5 3 37 37 H 1.09002 * 109.47125 * 300.00390 * 6 5 3 38 38 H 0.97005 * 119.99792 * 179.97438 * 11 10 8 39 39 H 1.08999 * 109.46936 * 53.22661 * 18 16 7 40 40 H 1.08998 * 109.47275 * 173.22840 * 18 16 7 41 41 H 1.08998 * 109.46965 * 293.23068 * 18 16 7 42 42 H 1.09000 * 109.47296 * 59.99919 * 24 22 21 43 43 H 1.08997 * 109.46890 * 180.02562 * 24 22 21 44 44 H 1.09007 * 109.46814 * 299.99810 * 24 22 21 45 45 H 1.08998 * 109.63241 * 294.85955 * 25 22 21 46 46 H 1.09001 * 109.45293 * 174.74387 * 25 22 21 47 47 H 1.08997 * 109.45939 * 178.49122 * 26 25 22 48 48 H 1.09000 * 109.46463 * 58.52744 * 26 25 22 49 49 H 1.08995 * 109.49867 * 301.41388 * 27 26 25 50 50 H 1.09003 * 109.52572 * 181.33092 * 27 26 25 51 51 H 1.08997 * 109.47157 * 64.70243 * 30 28 21 52 52 H 1.09003 * 109.47110 * 184.70555 * 30 28 21 53 53 H 1.09004 * 109.47151 * 304.70543 * 30 28 21 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 8 1.4519 0.0000 0.0000 3 6 2.0614 1.1960 0.0000 4 8 1.4033 2.2093 -0.0005 5 6 3.5664 1.2748 0.0006 6 6 4.0002 2.7420 -0.0002 7 7 5.4631 2.8187 -0.0002 8 6 6.1465 2.8608 1.1857 9 1 7.1397 2.4418 1.2518 10 6 5.5627 3.4422 2.3029 11 7 4.6441 4.3732 2.1561 12 14 6.0810 2.9030 4.0148 13 1 7.2143 3.7441 4.4767 14 1 4.9373 3.0565 4.9495 15 1 6.5034 1.4798 3.9788 16 6 6.1947 2.8564 -1.2689 17 1 5.4929 2.7512 -2.0962 18 6 7.2059 1.7089 -1.3089 19 6 6.9214 4.1709 -1.3909 20 8 6.9760 4.9240 -0.4417 21 7 7.5108 4.5097 -2.5547 22 6 7.3925 3.6416 -3.7342 23 1 6.6981 2.8288 -3.5215 24 6 8.7658 3.0673 -4.0881 25 6 6.8629 4.4806 -4.9071 26 6 7.7719 5.6949 -5.1095 27 6 7.7537 6.5635 -3.8496 28 6 8.2888 5.7511 -2.6663 29 1 9.3387 5.5105 -2.8332 30 6 8.1472 6.5628 -1.3771 31 1 -0.3634 0.5139 0.8899 32 1 -0.3633 0.5139 -0.8901 33 1 -0.3634 -1.0277 -0.0005 34 1 3.9564 0.7806 -0.8891 35 1 3.9557 0.7809 0.8908 36 1 3.6100 3.2368 0.8894 37 1 3.6107 3.2356 -0.8906 38 1 4.2359 4.7793 2.9368 39 1 6.6963 0.7681 -1.1007 40 1 7.6645 1.6630 -2.2966 41 1 7.9773 1.8782 -0.5576 42 1 9.1444 2.4864 -3.2471 43 1 8.6760 2.4241 -4.9634 44 1 9.4554 3.8829 -4.3061 45 1 5.8495 4.8171 -4.6885 46 1 6.8576 3.8749 -5.8133 47 1 7.4147 6.2784 -5.9580 48 1 8.7902 5.3580 -5.3036 49 1 6.7319 6.8805 -3.6410 50 1 8.3826 7.4406 -4.0027 51 1 8.5941 6.0116 -0.5497 52 1 8.6556 7.5200 -1.4927 53 1 7.0909 6.7351 -1.1703 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 ZINC000879476114.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 23:25:31 Heat of formation + Delta-G solvation = -82.553813 kcal Electronic energy + Delta-G solvation = -32681.000127 eV Core-core repulsion = 28554.458066 eV Total energy + Delta-G solvation = -4126.542061 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.36 seconds Orbital eigenvalues (eV) -40.18293 -39.91490 -37.33289 -36.23346 -35.56018 -33.55654 -32.34974 -31.59929 -31.25316 -28.83454 -28.48630 -27.19816 -26.30904 -24.79826 -23.59504 -23.10766 -22.16520 -20.99850 -20.09547 -19.72649 -18.00970 -17.25068 -16.48847 -16.14976 -15.93362 -15.79805 -15.55131 -15.03251 -14.89824 -14.46148 -13.94880 -13.90072 -13.51135 -13.48236 -13.19559 -13.08116 -12.91174 -12.74428 -12.51669 -12.28771 -12.11168 -11.96343 -11.73789 -11.56411 -11.49528 -11.40346 -11.24394 -11.17082 -10.94869 -10.77204 -10.71952 -10.62137 -10.59342 -10.48517 -10.38881 -10.26571 -10.05811 -9.95606 -9.84428 -9.65004 -8.42009 -7.98313 -7.89466 -6.64771 -5.67448 -3.15706 2.75926 3.16010 3.43227 3.52000 3.52152 3.57156 3.71125 4.55865 4.74473 4.88750 4.92973 5.13483 5.18931 5.27435 5.29772 5.33406 5.36232 5.42596 5.47029 5.50328 5.57779 5.62464 5.70867 5.74158 5.78554 5.87345 5.91427 5.94877 5.98619 6.00096 6.04014 6.05792 6.15436 6.18339 6.23109 6.25826 6.35974 6.45149 6.46119 6.54265 6.70807 6.78668 6.89221 6.97523 7.00299 7.31920 7.78587 7.92002 8.18510 8.27098 8.52986 9.19064 9.33754 9.86729 10.36855 11.34510 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.010011 B = 0.004274 C = 0.003415 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2796.215197 B = 6550.167303 C = 8197.620705 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.035 3.965 2 O -0.370 6.370 3 C 0.460 3.540 4 O -0.507 6.507 5 C -0.128 4.128 6 C 0.153 3.847 7 N -0.554 5.554 8 C -0.243 4.243 9 H 0.066 0.934 10 C 0.015 3.985 11 N -0.870 5.870 12 Si 0.889 3.111 13 H -0.288 1.288 14 H -0.291 1.291 15 H -0.279 1.279 16 C 0.148 3.852 17 H 0.067 0.933 18 C -0.153 4.153 19 C 0.486 3.514 20 O -0.473 6.473 21 N -0.621 5.621 22 C 0.135 3.865 23 H 0.093 0.907 24 C -0.165 4.165 25 C -0.130 4.130 26 C -0.117 4.117 27 C -0.131 4.131 28 C 0.147 3.853 29 H 0.056 0.944 30 C -0.132 4.132 31 H 0.059 0.941 32 H 0.057 0.943 33 H 0.093 0.907 34 H 0.085 0.915 35 H 0.103 0.897 36 H 0.117 0.883 37 H 0.030 0.970 38 H 0.252 0.748 39 H 0.060 0.940 40 H 0.049 0.951 41 H 0.058 0.942 42 H 0.062 0.938 43 H 0.061 0.939 44 H 0.058 0.942 45 H 0.066 0.934 46 H 0.068 0.932 47 H 0.058 0.942 48 H 0.063 0.937 49 H 0.065 0.935 50 H 0.065 0.935 51 H 0.073 0.927 52 H 0.028 0.972 53 H 0.073 0.927 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 2.469 -5.087 -14.545 15.605 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 -0.060 4.060 2 O -0.287 6.287 3 C 0.303 3.697 4 O -0.394 6.394 5 C -0.168 4.168 6 C 0.026 3.974 7 N -0.272 5.272 8 C -0.372 4.372 9 H 0.083 0.917 10 C -0.186 4.186 11 N -0.511 5.511 12 Si 0.718 3.282 13 H -0.215 1.215 14 H -0.217 1.217 15 H -0.204 1.204 16 C 0.037 3.963 17 H 0.085 0.915 18 C -0.212 4.212 19 C 0.272 3.728 20 O -0.343 6.343 21 N -0.361 5.361 22 C 0.031 3.969 23 H 0.111 0.889 24 C -0.223 4.223 25 C -0.168 4.168 26 C -0.155 4.155 27 C -0.170 4.170 28 C 0.043 3.957 29 H 0.074 0.926 30 C -0.189 4.189 31 H 0.078 0.922 32 H 0.076 0.924 33 H 0.112 0.888 34 H 0.103 0.897 35 H 0.122 0.878 36 H 0.134 0.866 37 H 0.048 0.952 38 H 0.062 0.938 39 H 0.079 0.921 40 H 0.068 0.932 41 H 0.077 0.923 42 H 0.081 0.919 43 H 0.080 0.920 44 H 0.077 0.923 45 H 0.084 0.916 46 H 0.086 0.914 47 H 0.077 0.923 48 H 0.081 0.919 49 H 0.084 0.916 50 H 0.083 0.917 51 H 0.092 0.908 52 H 0.046 0.954 53 H 0.092 0.908 Dipole moment (debyes) X Y Z Total from point charges 2.145 -4.243 -13.801 14.597 hybrid contribution 0.039 -0.088 0.716 0.722 sum 2.184 -4.331 -13.085 13.956 Atomic orbital electron populations 1.23131 0.77794 1.02824 1.02202 1.86567 1.22469 1.34921 1.84752 1.24499 0.92838 0.80711 0.71615 1.90644 1.67369 1.36271 1.45080 1.22353 0.84474 1.05531 1.04486 1.20928 0.83255 0.89139 1.04092 1.43919 1.00956 1.82334 0.99959 1.18810 1.01186 1.31736 0.85450 0.91671 1.24954 0.99706 0.95469 0.98435 1.70033 1.29631 1.22866 1.28577 0.86527 0.77679 0.78711 0.85273 1.21457 1.21699 1.20433 1.20590 0.93645 0.90823 0.91262 0.91530 1.22197 0.99849 0.98667 1.00492 1.22447 0.78851 0.90089 0.81434 1.90821 1.56016 1.50114 1.37325 1.48715 1.54168 1.21948 1.11223 1.21270 0.97163 0.92790 0.85688 0.88892 1.22227 0.97481 1.00950 1.01608 1.22004 0.99762 0.97113 0.97962 1.21513 0.99930 0.96555 0.97495 1.22007 1.02042 0.97984 0.94920 1.21074 0.93961 0.84921 0.95753 0.92570 1.22182 1.03721 0.97017 0.95963 0.92249 0.92385 0.88822 0.89676 0.87840 0.86603 0.95163 0.93806 0.92103 0.93217 0.92315 0.91889 0.92046 0.92330 0.91555 0.91353 0.92331 0.91869 0.91639 0.91665 0.90839 0.95352 0.90813 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 0.03 0.43 10.56 101.05 1.07 1.50 16 2 O -0.37 -5.95 10.56 -39.27 -0.41 -6.37 16 3 C 0.46 8.67 7.96 36.01 0.29 8.96 16 4 O -0.51 -11.02 15.73 -18.75 -0.29 -11.32 16 5 C -0.13 -2.42 6.14 -27.88 -0.17 -2.59 16 6 C 0.15 3.53 4.55 -4.04 -0.02 3.51 16 7 N -0.55 -12.96 2.25 -166.98 -0.38 -13.34 16 8 C -0.24 -6.38 7.51 -15.06 -0.11 -6.50 16 9 H 0.07 1.74 6.86 -52.49 -0.36 1.38 16 10 C 0.02 0.42 4.91 -17.43 -0.09 0.33 16 11 N -0.87 -25.61 11.27 55.49 0.63 -24.99 16 12 Si 0.89 21.85 29.63 -169.99 -5.04 16.82 16 13 H -0.29 -7.23 7.11 56.52 0.40 -6.83 16 14 H -0.29 -7.22 7.11 56.52 0.40 -6.82 16 15 H -0.28 -6.63 7.11 56.52 0.40 -6.23 16 16 C 0.15 2.88 2.30 -69.08 -0.16 2.72 16 17 H 0.07 1.18 6.72 -51.93 -0.35 0.83 16 18 C -0.15 -2.51 8.63 37.16 0.32 -2.19 16 19 C 0.49 9.97 6.85 -10.98 -0.08 9.90 16 20 O -0.47 -11.94 10.64 5.55 0.06 -11.88 16 21 N -0.62 -9.95 2.68 -157.48 -0.42 -10.37 16 22 C 0.14 1.66 2.39 -67.38 -0.16 1.50 16 23 H 0.09 1.15 4.90 -51.93 -0.25 0.89 16 24 C -0.16 -1.70 8.60 37.16 0.32 -1.38 16 25 C -0.13 -1.40 5.58 -26.39 -0.15 -1.54 16 26 C -0.12 -1.21 5.68 -26.69 -0.15 -1.36 16 27 C -0.13 -1.64 5.38 -26.61 -0.14 -1.78 16 28 C 0.15 2.20 3.07 -67.60 -0.21 1.99 16 29 H 0.06 0.79 7.48 -51.93 -0.39 0.40 16 30 C -0.13 -2.36 7.60 37.16 0.28 -2.07 16 31 H 0.06 0.75 8.13 -51.93 -0.42 0.33 16 32 H 0.06 0.69 8.13 -51.92 -0.42 0.27 16 33 H 0.09 0.83 8.14 -51.93 -0.42 0.41 16 34 H 0.08 1.38 8.14 -51.93 -0.42 0.96 16 35 H 0.10 2.00 8.14 -51.93 -0.42 1.58 16 36 H 0.12 3.18 5.15 -51.92 -0.27 2.91 16 37 H 0.03 0.70 7.91 -51.93 -0.41 0.29 16 38 H 0.25 7.28 8.31 -40.82 -0.34 6.94 16 39 H 0.06 0.96 8.14 -51.93 -0.42 0.53 16 40 H 0.05 0.66 4.56 -51.93 -0.24 0.42 16 41 H 0.06 1.08 7.14 -51.93 -0.37 0.71 16 42 H 0.06 0.71 6.88 -51.93 -0.36 0.35 16 43 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 44 H 0.06 0.60 5.71 -51.93 -0.30 0.30 16 45 H 0.07 0.80 8.14 -51.93 -0.42 0.37 16 46 H 0.07 0.59 8.14 -51.93 -0.42 0.17 16 47 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 48 H 0.06 0.60 6.49 -51.93 -0.34 0.27 16 49 H 0.06 0.92 8.14 -51.93 -0.42 0.50 16 50 H 0.06 0.72 8.14 -51.93 -0.42 0.30 16 51 H 0.07 1.51 6.75 -51.93 -0.35 1.16 16 52 H 0.03 0.43 8.14 -51.93 -0.42 0.01 16 53 H 0.07 1.56 6.74 -51.93 -0.35 1.21 16 LS Contribution 399.20 15.07 6.02 6.02 Total: -1.00 -32.66 399.20 -7.96 -40.62 By element: Atomic # 1 Polarization: 12.77 SS G_CDS: -8.96 Total: 3.81 kcal Atomic # 6 Polarization: 10.16 SS G_CDS: 0.84 Total: 11.00 kcal Atomic # 7 Polarization: -48.53 SS G_CDS: -0.17 Total: -48.70 kcal Atomic # 8 Polarization: -28.92 SS G_CDS: -0.65 Total: -29.57 kcal Atomic # 14 Polarization: 21.85 SS G_CDS: -5.04 Total: 16.82 kcal Total LS contribution 6.02 Total: 6.02 kcal Total: -32.66 -7.96 -40.62 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. ZINC000879476114.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 -41.936 kcal (2) G-P(sol) polarization free energy of solvation -32.660 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -74.596 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.958 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.618 kcal (6) G-S(sol) free energy of system = (1) + (5) -82.554 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.36 seconds