Wall clock time and date at job start Sat Apr 11 2020 06:11:49 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 1.42902 * 1 3 3 C 1.42895 * 114.00370 * 2 1 4 4 C 1.52997 * 109.47503 * 179.97438 * 3 2 1 5 5 C 1.53000 * 109.47060 * 180.02562 * 4 3 2 6 6 C 1.50706 * 109.46735 * 180.02562 * 5 4 3 7 7 O 1.21273 * 120.00140 * 359.97438 * 6 5 4 8 8 N 1.34779 * 119.99767 * 180.02562 * 6 5 4 9 9 C 1.46931 * 120.58974 * 359.71835 * 8 6 5 10 10 C 1.52849 * 108.94846 * 234.16934 * 9 8 6 11 11 C 1.52434 * 109.48737 * 306.49321 * 10 9 8 12 12 C 1.53601 * 110.44289 * 296.88589 * 11 10 9 13 13 O 1.43877 * 107.11578 * 239.50354 * 12 11 10 14 14 C 1.44423 * 107.00292 * 26.36625 * 13 12 11 15 15 H 1.09004 * 110.60757 * 78.92432 * 14 13 12 16 16 C 1.52999 * 110.60943 * 201.74051 * 14 13 12 17 17 N 1.46499 * 109.47182 * 298.54309 * 16 14 13 18 18 C 1.36934 * 120.00233 * 179.97438 * 17 16 14 19 19 H 1.08000 * 119.99872 * 0.02562 * 18 17 16 20 20 C 1.38804 * 120.00203 * 180.02562 * 18 17 16 21 21 N 1.31622 * 120.00124 * 0.02562 * 20 18 17 22 22 Si 1.86804 * 120.00250 * 180.02562 * 20 18 17 23 23 H 1.48493 * 109.47469 * 89.99861 * 22 20 18 24 24 H 1.48499 * 109.47165 * 210.00509 * 22 20 18 25 25 H 1.48503 * 109.46765 * 329.99749 * 22 20 18 26 26 C 1.54320 * 110.03963 * 181.80881 * 11 10 9 27 27 C 1.52424 * 110.97815 * 59.74580 * 11 10 9 28 28 C 1.46930 * 120.58997 * 179.97438 * 8 6 5 29 29 H 1.08998 * 109.46946 * 179.97438 * 1 2 3 30 30 H 1.08999 * 109.46857 * 300.00103 * 1 2 3 31 31 H 1.09001 * 109.46918 * 59.99989 * 1 2 3 32 32 H 1.09002 * 109.46880 * 59.99856 * 3 2 1 33 33 H 1.08998 * 109.47064 * 300.00681 * 3 2 1 34 34 H 1.09002 * 109.47153 * 60.00043 * 4 3 2 35 35 H 1.09001 * 109.46832 * 300.00234 * 4 3 2 36 36 H 1.09001 * 109.47194 * 299.99650 * 5 4 3 37 37 H 1.08992 * 109.47399 * 59.99823 * 5 4 3 38 38 H 1.09010 * 109.59676 * 353.97695 * 9 8 6 39 39 H 1.08994 * 109.59870 * 114.43826 * 9 8 6 40 40 H 1.09010 * 109.54789 * 186.43204 * 10 9 8 41 41 H 1.09001 * 109.34964 * 66.44336 * 10 9 8 42 42 H 1.08995 * 109.90847 * 358.88031 * 12 11 10 43 43 H 1.08999 * 109.90601 * 119.94465 * 12 11 10 44 44 H 1.08995 * 109.47101 * 58.54518 * 16 14 13 45 45 H 1.09002 * 109.47374 * 178.54586 * 16 14 13 46 46 H 0.97004 * 120.00244 * 0.02562 * 17 16 14 47 47 H 0.97002 * 119.99846 * 180.02562 * 21 20 18 48 48 H 1.08993 * 110.92795 * 216.20917 * 26 11 10 49 49 H 1.08998 * 110.92943 * 339.87587 * 26 11 10 50 50 H 1.09000 * 109.47697 * 180.16667 * 27 11 10 51 51 H 1.08997 * 109.48388 * 60.14135 * 27 11 10 52 52 H 1.09006 * 109.59258 * 245.57899 * 28 8 6 53 53 H 1.08999 * 109.58914 * 6.02487 * 28 8 6 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 1.4290 0.0000 0.0000 3 6 2.0103 1.3054 0.0000 4 6 3.5355 1.1846 0.0006 5 6 4.1578 2.5823 0.0013 6 6 5.6601 2.4632 0.0013 7 8 6.1817 1.3684 0.0013 8 7 6.4241 3.5736 0.0023 9 6 5.8059 4.9065 -0.0027 10 6 6.3697 5.7106 -1.1740 11 6 7.8925 5.7081 -1.1064 12 6 8.3739 6.4084 0.1731 13 8 9.1963 7.5163 -0.2343 14 6 8.7553 7.9073 -1.5528 15 1 7.8468 8.5065 -1.4914 16 6 9.8576 8.6767 -2.2833 17 7 10.1761 9.8979 -1.5394 18 6 11.1404 10.7514 -2.0049 19 1 11.6659 10.5245 -2.9207 20 6 11.4425 11.9082 -1.2997 21 7 10.8024 12.1846 -0.1833 22 14 12.7575 13.0730 -1.9351 23 1 12.1356 14.0794 -2.8326 24 1 13.4031 13.7629 -0.7895 25 1 13.7793 12.3023 -2.6883 26 6 8.4744 6.5547 -2.2580 27 6 8.4394 4.2870 -1.1742 28 6 7.8899 3.4726 0.0029 29 1 -0.3633 -1.0277 -0.0005 30 1 -0.3633 0.5139 0.8900 31 1 -0.3633 0.5138 -0.8900 32 1 1.6887 1.8463 0.8900 33 1 1.6886 1.8463 -0.8899 34 1 3.8575 0.6435 -0.8891 35 1 3.8567 0.6438 0.8909 36 1 3.8366 3.1234 -0.8887 37 1 3.8358 3.1230 0.8912 38 1 4.7261 4.8083 -0.1148 39 1 6.0336 5.4187 0.9320 40 1 6.0052 6.7366 -1.1211 41 1 6.0467 5.2580 -2.1115 42 1 7.5179 6.7710 0.7422 43 1 8.9554 5.7142 0.7798 44 1 10.7486 8.0531 -2.3566 45 1 9.5151 8.9399 -3.2841 46 1 9.7043 10.1016 -0.7166 47 1 11.0132 12.9932 0.3092 48 1 9.3965 6.1145 -2.6374 49 1 7.7448 6.6770 -3.0585 50 1 9.5278 4.3135 -1.1210 51 1 8.1324 3.8236 -2.1118 52 1 8.2834 3.8705 0.9384 53 1 8.1844 2.4288 -0.1054 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 ZINC001734208136.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 06:11:49 Heat of formation + Delta-G solvation = -123.853703 kcal Electronic energy + Delta-G solvation = -30083.368435 eV Core-core repulsion = 25955.035477 eV Total energy + Delta-G solvation = -4128.332958 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.78 seconds Orbital eigenvalues (eV) -41.05600 -39.63316 -38.35199 -36.99872 -34.50407 -34.18488 -33.42477 -31.71574 -31.54764 -29.65178 -28.48189 -27.15788 -26.06323 -25.32019 -23.84360 -23.77982 -22.49416 -21.96998 -20.72907 -20.09435 -18.52711 -17.54329 -17.06827 -16.83860 -16.82981 -16.17005 -16.03265 -15.80313 -15.43621 -15.28137 -14.99767 -14.67168 -14.56236 -14.04201 -13.82341 -13.73517 -13.41111 -13.16690 -13.10964 -12.88061 -12.75710 -12.51028 -12.35708 -12.19001 -12.04121 -11.82764 -11.60774 -11.50594 -11.40684 -11.35673 -11.23020 -11.02325 -10.79320 -10.59423 -10.45680 -10.41195 -10.13735 -10.05752 -9.97632 -9.63107 -9.29242 -8.91550 -8.84227 -6.85992 -5.70559 -2.99054 2.31902 2.59072 3.30758 3.46488 3.51284 3.53441 4.05899 4.09903 4.30221 4.37097 4.47981 4.53253 4.62062 4.63461 4.71557 4.77541 4.82755 4.89338 4.91891 4.94378 4.96633 4.97843 5.02891 5.10175 5.19447 5.23072 5.27469 5.30949 5.38170 5.43982 5.53579 5.61568 5.64779 5.66557 5.73981 5.77318 5.82699 5.85991 5.92586 6.02337 6.04930 6.13371 6.24468 6.35229 6.58246 6.69050 6.77568 7.06442 7.31517 7.73391 7.86183 8.47833 9.59325 10.17947 10.53716 11.52194 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.031915 B = 0.001694 C = 0.001660 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 877.117220 B =16527.374860 C =16866.003572 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.031 3.969 2 O -0.392 6.392 3 C 0.061 3.939 4 C -0.104 4.104 5 C -0.138 4.138 6 C 0.516 3.484 7 O -0.541 6.541 8 N -0.610 5.610 9 C 0.103 3.897 10 C -0.122 4.122 11 C -0.092 4.092 12 C 0.053 3.947 13 O -0.355 6.355 14 C 0.073 3.927 15 H 0.067 0.933 16 C 0.160 3.840 17 N -0.727 5.727 18 C -0.240 4.240 19 H 0.069 0.931 20 C -0.014 4.014 21 N -0.931 5.931 22 Si 0.907 3.093 23 H -0.290 1.290 24 H -0.291 1.291 25 H -0.282 1.282 26 C -0.138 4.138 27 C -0.117 4.117 28 C 0.108 3.892 29 H 0.086 0.914 30 H 0.041 0.959 31 H 0.041 0.959 32 H 0.050 0.950 33 H 0.050 0.950 34 H 0.079 0.921 35 H 0.079 0.921 36 H 0.096 0.904 37 H 0.096 0.904 38 H 0.087 0.913 39 H 0.075 0.925 40 H 0.082 0.918 41 H 0.071 0.929 42 H 0.055 0.945 43 H 0.079 0.921 44 H 0.024 0.976 45 H 0.030 0.970 46 H 0.388 0.612 47 H 0.254 0.746 48 H 0.080 0.920 49 H 0.078 0.922 50 H 0.082 0.918 51 H 0.069 0.931 52 H 0.071 0.929 53 H 0.094 0.906 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -20.453 -22.171 0.083 30.164 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 -0.065 4.065 2 O -0.311 6.311 3 C -0.016 4.016 4 C -0.142 4.142 5 C -0.178 4.178 6 C 0.305 3.695 7 O -0.418 6.418 8 N -0.344 5.344 9 C -0.020 4.020 10 C -0.160 4.160 11 C -0.092 4.092 12 C -0.024 4.024 13 O -0.273 6.273 14 C 0.016 3.984 15 H 0.085 0.915 16 C 0.032 3.968 17 N -0.372 5.372 18 C -0.371 4.371 19 H 0.087 0.913 20 C -0.210 4.210 21 N -0.580 5.580 22 Si 0.738 3.262 23 H -0.218 1.218 24 H -0.218 1.218 25 H -0.208 1.208 26 C -0.176 4.176 27 C -0.155 4.155 28 C -0.014 4.014 29 H 0.104 0.896 30 H 0.060 0.940 31 H 0.060 0.940 32 H 0.068 0.932 33 H 0.068 0.932 34 H 0.097 0.903 35 H 0.098 0.902 36 H 0.114 0.886 37 H 0.114 0.886 38 H 0.105 0.895 39 H 0.093 0.907 40 H 0.101 0.899 41 H 0.090 0.910 42 H 0.073 0.927 43 H 0.097 0.903 44 H 0.042 0.958 45 H 0.047 0.953 46 H 0.222 0.778 47 H 0.064 0.936 48 H 0.099 0.901 49 H 0.097 0.903 50 H 0.101 0.899 51 H 0.088 0.912 52 H 0.089 0.911 53 H 0.112 0.888 Dipole moment (debyes) X Y Z Total from point charges -19.753 -22.753 0.119 30.132 hybrid contribution 0.134 1.109 -0.157 1.128 sum -19.619 -21.645 -0.039 29.213 Atomic orbital electron populations 1.22754 0.80883 1.02884 1.00011 1.87890 1.19795 1.27956 1.95419 1.22549 0.94020 0.84793 1.00227 1.21228 0.92197 0.95779 1.05027 1.21584 0.92214 0.99409 1.04562 1.20570 0.89446 0.83777 0.75746 1.90709 1.74972 1.26280 1.49824 1.48132 1.06946 1.06015 1.73335 1.21788 0.97964 0.82667 0.99561 1.21845 0.94565 1.00923 0.98648 1.21500 0.95251 0.95879 0.96596 1.23242 0.94963 0.89034 0.95201 1.89109 1.56946 1.48451 1.32832 1.23429 0.98125 0.94176 0.82692 0.91504 1.20712 0.93913 0.88511 0.93657 1.42257 1.45680 1.21046 1.28192 1.19233 1.12192 1.00185 1.05489 0.91258 1.24737 1.00195 0.98668 0.97381 1.69681 1.44429 1.26963 1.16929 0.86193 0.81415 0.81067 0.77536 1.21780 1.21776 1.20793 1.23198 1.01624 0.95530 0.97215 1.21875 1.01116 0.93837 0.98721 1.21724 0.78886 1.02180 0.98643 0.89552 0.94014 0.94019 0.93197 0.93196 0.90258 0.90249 0.88619 0.88610 0.89465 0.90669 0.89926 0.91047 0.92726 0.90257 0.95772 0.95258 0.77838 0.93593 0.90110 0.90327 0.89949 0.91229 0.91095 0.88782 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 0.03 0.16 11.01 101.05 1.11 1.28 16 2 O -0.39 -3.35 10.70 -35.23 -0.38 -3.73 16 3 C 0.06 0.39 5.94 37.16 0.22 0.61 16 4 C -0.10 -0.79 4.87 -26.73 -0.13 -0.92 16 5 C -0.14 -0.84 4.04 -27.88 -0.11 -0.95 16 6 C 0.52 4.99 7.70 -10.98 -0.08 4.91 16 7 O -0.54 -7.36 15.39 5.56 0.09 -7.27 16 8 N -0.61 -5.23 2.97 -172.89 -0.51 -5.75 16 9 C 0.10 0.67 6.02 -3.88 -0.02 0.65 16 10 C -0.12 -0.93 4.57 -27.10 -0.12 -1.06 16 11 C -0.09 -0.92 0.61 -154.09 -0.09 -1.01 16 12 C 0.05 0.66 6.16 37.47 0.23 0.89 16 13 O -0.35 -6.35 11.10 -35.23 -0.39 -6.74 16 14 C 0.07 1.20 3.42 -25.62 -0.09 1.11 16 15 H 0.07 1.08 8.14 -51.93 -0.42 0.66 16 16 C 0.16 3.28 6.02 -4.04 -0.02 3.26 16 17 N -0.73 -19.18 5.53 -59.91 -0.33 -19.51 16 18 C -0.24 -6.90 9.99 -15.06 -0.15 -7.05 16 19 H 0.07 1.92 7.83 -52.49 -0.41 1.51 16 20 C -0.01 -0.41 5.50 -17.43 -0.10 -0.50 16 21 N -0.93 -28.84 13.06 55.49 0.72 -28.12 16 22 Si 0.91 22.74 29.55 -169.99 -5.02 17.72 16 23 H -0.29 -7.20 7.11 56.52 0.40 -6.80 16 24 H -0.29 -7.35 7.11 56.52 0.40 -6.95 16 25 H -0.28 -6.88 7.11 56.52 0.40 -6.48 16 26 C -0.14 -1.63 5.67 -24.92 -0.14 -1.77 16 27 C -0.12 -1.09 4.63 -26.86 -0.12 -1.21 16 28 C 0.11 1.00 6.13 -3.64 -0.02 0.98 16 29 H 0.09 0.36 8.14 -51.93 -0.42 -0.06 16 30 H 0.04 0.18 8.14 -51.93 -0.42 -0.25 16 31 H 0.04 0.18 8.14 -51.93 -0.42 -0.25 16 32 H 0.05 0.25 8.14 -51.93 -0.42 -0.17 16 33 H 0.05 0.25 8.14 -51.93 -0.42 -0.17 16 34 H 0.08 0.72 8.10 -51.93 -0.42 0.30 16 35 H 0.08 0.72 8.10 -51.93 -0.42 0.30 16 36 H 0.10 0.41 7.69 -51.93 -0.40 0.01 16 37 H 0.10 0.41 7.94 -51.93 -0.41 0.00 16 38 H 0.09 0.37 5.92 -51.92 -0.31 0.06 16 39 H 0.08 0.49 6.90 -51.93 -0.36 0.13 16 40 H 0.08 0.63 8.14 -51.92 -0.42 0.21 16 41 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 42 H 0.05 0.62 6.61 -51.93 -0.34 0.28 16 43 H 0.08 0.93 6.44 -51.93 -0.33 0.59 16 44 H 0.02 0.51 8.13 -51.93 -0.42 0.09 16 45 H 0.03 0.58 8.14 -51.93 -0.42 0.16 16 46 H 0.39 10.89 7.62 -40.82 -0.31 10.58 16 47 H 0.25 7.58 8.31 -40.82 -0.34 7.24 16 48 H 0.08 0.98 7.75 -51.93 -0.40 0.58 16 49 H 0.08 0.81 7.83 -51.93 -0.41 0.40 16 50 H 0.08 0.79 8.14 -51.93 -0.42 0.37 16 51 H 0.07 0.65 8.14 -51.93 -0.42 0.22 16 52 H 0.07 0.63 6.80 -51.93 -0.35 0.28 16 53 H 0.09 0.98 7.00 -51.93 -0.36 0.62 16 LS Contribution 410.44 15.07 6.19 6.19 Total: -1.00 -35.71 410.44 -8.74 -44.45 By element: Atomic # 1 Polarization: 13.02 SS G_CDS: -9.45 Total: 3.56 kcal Atomic # 6 Polarization: -1.15 SS G_CDS: 0.35 Total: -0.80 kcal Atomic # 7 Polarization: -53.25 SS G_CDS: -0.12 Total: -53.37 kcal Atomic # 8 Polarization: -17.06 SS G_CDS: -0.68 Total: -17.75 kcal Atomic # 14 Polarization: 22.74 SS G_CDS: -5.02 Total: 17.72 kcal Total LS contribution 6.19 Total: 6.19 kcal Total: -35.71 -8.74 -44.45 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. ZINC001734208136.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 -79.405 kcal (2) G-P(sol) polarization free energy of solvation -35.705 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -115.110 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.743 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.449 kcal (6) G-S(sol) free energy of system = (1) + (5) -123.854 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.78 seconds