Wall clock time and date at job start Tue Mar 31 2020 05:11:43 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 1.32562 * 1 3 3 C 1.50709 * 119.99567 * 2 1 4 4 C 1.47806 * 120.00454 * 180.02562 * 2 1 3 5 5 C 1.39561 * 120.14161 * 245.02095 * 4 2 1 6 6 C 1.37946 * 119.85287 * 179.97438 * 5 4 2 7 7 C 1.38364 * 120.14928 * 359.97438 * 6 5 4 8 8 C 1.38320 * 120.28194 * 0.04543 * 7 6 5 9 9 C 1.50707 * 119.93131 * 179.97438 * 8 7 6 10 10 C 1.52999 * 109.46823 * 324.68627 * 9 8 7 11 11 C 1.52998 * 109.47044 * 84.68395 * 9 8 7 12 12 N 1.46496 * 109.47234 * 204.68729 * 9 8 7 13 13 C 1.34779 * 120.00063 * 181.12238 * 12 9 8 14 14 O 1.21592 * 119.99769 * 0.02562 * 13 12 9 15 15 N 1.34776 * 120.00377 * 179.97438 * 13 12 9 16 16 C 1.46492 * 120.00095 * 180.02562 * 15 13 12 17 17 C 1.50708 * 109.47189 * 90.00099 * 16 15 13 18 18 H 1.08001 * 120.00041 * 359.97438 * 17 16 15 19 19 C 1.37876 * 119.99938 * 180.02562 * 17 16 15 20 20 N 1.31510 * 120.00255 * 359.97438 * 19 17 16 21 21 Si 1.86801 * 119.99602 * 180.02562 * 19 17 16 22 22 H 1.48502 * 109.47283 * 90.00085 * 21 19 17 23 23 H 1.48506 * 109.46990 * 209.99295 * 21 19 17 24 24 H 1.48491 * 109.47339 * 329.99613 * 21 19 17 25 25 C 1.46505 * 119.99620 * 0.02562 * 15 13 12 26 26 C 1.52999 * 109.46986 * 90.00021 * 25 15 13 27 27 C 1.47196 * 109.46903 * 179.97438 * 26 25 15 28 28 N 6.06163 * 102.06426 * 282.62213 * 2 1 3 29 29 C 1.38000 * 120.14677 * 359.95399 * 8 7 6 30 30 H 1.07994 * 120.00678 * 359.97438 * 1 2 3 31 31 H 1.08004 * 119.99543 * 179.97438 * 1 2 3 32 32 H 1.08992 * 109.47064 * 270.00219 * 3 2 1 33 33 H 1.08999 * 109.46834 * 30.00069 * 3 2 1 34 34 H 1.09002 * 109.46844 * 149.99571 * 3 2 1 35 35 H 1.07997 * 120.07223 * 359.95644 * 5 4 2 36 36 H 1.08005 * 119.92656 * 179.97438 * 6 5 4 37 37 H 1.07998 * 119.86006 * 179.97438 * 7 6 5 38 38 H 1.09010 * 109.46954 * 60.00023 * 10 9 8 39 39 H 1.09003 * 109.47119 * 179.97438 * 10 9 8 40 40 H 1.08998 * 109.47388 * 299.99795 * 10 9 8 41 41 H 1.09001 * 109.46789 * 60.00378 * 11 9 8 42 42 H 1.09003 * 109.47525 * 180.02562 * 11 9 8 43 43 H 1.09000 * 109.47337 * 300.00571 * 11 9 8 44 44 H 0.96998 * 120.00036 * 1.12517 * 12 9 8 45 45 H 1.08997 * 109.47585 * 209.99838 * 16 15 13 46 46 H 1.09002 * 109.47363 * 330.00037 * 16 15 13 47 47 H 0.96997 * 120.00000 * 179.97438 * 20 19 17 48 48 H 1.08995 * 109.46492 * 209.99861 * 25 15 13 49 49 H 1.09001 * 109.47320 * 329.99747 * 25 15 13 50 50 H 1.08999 * 109.47063 * 299.99984 * 26 25 15 51 51 H 1.08998 * 109.46860 * 59.99901 * 26 25 15 52 52 H 1.07997 * 120.07683 * 180.29844 * 29 8 7 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 1.3256 0.0000 0.0000 3 6 2.0791 1.3052 0.0000 4 6 2.0648 -1.2800 -0.0006 5 6 2.8566 -1.6325 1.0933 6 6 3.5434 -2.8288 1.0867 7 6 3.4483 -3.6787 -0.0010 8 6 2.6655 -3.3351 -1.0884 9 6 2.5680 -4.2665 -2.2691 10 6 3.9146 -4.9604 -2.4838 11 6 1.4894 -5.3181 -2.0014 12 7 2.2168 -3.5007 -3.4675 13 6 2.0518 -4.1325 -4.6466 14 8 2.1941 -5.3381 -4.7155 15 7 1.7281 -3.4281 -5.7491 16 6 1.5483 -4.1148 -7.0306 17 6 0.1074 -4.5303 -7.1800 18 1 -0.6033 -4.3056 -6.3984 19 6 -0.3034 -5.1981 -8.3142 20 7 0.5620 -5.4722 -9.2657 21 14 -2.0896 -5.7124 -8.4997 22 1 -2.8513 -4.6250 -9.1650 23 1 -2.1667 -6.9459 -9.3230 24 1 -2.6710 -5.9751 -7.1588 25 6 1.5561 -1.9755 -5.6660 26 6 2.8965 -1.2872 -5.9314 27 6 2.7236 0.1722 -5.8485 28 7 2.5926 1.2953 -5.7845 29 6 1.9733 -2.1412 -1.0944 30 1 -0.5401 0.9352 0.0004 31 1 -0.5399 -0.9354 -0.0004 32 1 2.2607 1.6199 -1.0276 33 1 1.4899 2.0648 0.5138 34 1 3.0315 1.1749 0.5139 35 1 2.9316 -0.9700 1.9429 36 1 4.1569 -3.1026 1.9324 37 1 3.9883 -4.6140 -0.0014 38 1 4.1760 -5.5302 -1.5920 39 1 3.8440 -5.6345 -3.3375 40 1 4.6831 -4.2113 -2.6745 41 1 0.5301 -4.8237 -1.8485 42 1 1.4191 -5.9921 -2.8551 43 1 1.7507 -5.8878 -1.1096 44 1 2.1029 -2.5390 -3.4125 45 1 1.8188 -3.4422 -7.8445 46 1 2.1863 -4.9981 -7.0621 47 1 0.2730 -5.9424 -10.0634 48 1 0.8283 -1.6528 -6.4103 49 1 1.2011 -1.7080 -4.6707 50 1 3.6244 -1.6101 -5.1871 51 1 3.2515 -1.5547 -6.9267 52 1 1.3587 -1.8762 -1.9419 RHF calculation, no. of doubly occupied orbitals= 67 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 ZINC000003204513.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 05:11:43 Heat of formation + Delta-G solvation = 43.932613 kcal Electronic energy + Delta-G solvation = -32191.143233 eV Core-core repulsion = 28156.431425 eV Total energy + Delta-G solvation = -4034.711808 eV No. of doubly occupied orbitals = 67 Molecular weight (most abundant/longest-lived isotopes) = 355.200 amu Computer time = 0.91 seconds Orbital eigenvalues (eV) -40.53846 -39.25328 -37.13993 -36.50604 -35.28348 -34.73169 -32.91507 -31.50724 -30.80782 -30.69477 -29.32554 -27.45076 -27.06812 -27.00496 -24.11957 -23.79698 -22.82357 -22.72113 -20.64599 -19.05325 -18.73001 -17.84820 -17.35900 -16.59432 -16.41754 -15.95784 -15.35931 -15.26046 -14.86293 -14.62238 -14.57423 -14.33124 -14.13265 -13.97249 -13.76071 -13.64187 -13.35527 -13.26619 -13.02962 -12.66891 -12.49046 -12.44472 -12.31855 -12.18092 -12.09678 -11.93985 -11.82309 -11.66310 -11.55166 -11.24143 -11.13932 -11.07392 -10.94461 -10.85970 -10.71144 -10.57217 -10.13673 -9.66887 -9.55582 -9.11751 -9.03355 -8.76609 -8.54018 -8.43415 -7.74031 -6.04871 -4.08759 1.02134 1.19865 1.96752 2.75864 2.83716 3.21911 3.30455 3.37714 3.42444 3.56440 3.87414 4.01194 4.35062 4.42978 4.49374 4.60753 4.73504 4.83172 4.94219 5.02813 5.13802 5.15846 5.19155 5.23840 5.30027 5.31528 5.35419 5.41307 5.43922 5.53013 5.68804 5.70641 5.80141 5.81325 5.84517 5.89596 6.00281 6.07444 6.13815 6.15259 6.27222 6.34750 6.38089 6.51836 6.53933 6.61756 6.75554 6.82315 6.98395 7.34056 7.49953 7.58096 7.71113 7.94086 8.22932 8.64122 8.92893 9.32761 9.57435 11.02987 Molecular weight = 355.20amu Principal moments of inertia in cm(-1) A = 0.009633 B = 0.003190 C = 0.002833 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2906.119998 B = 8774.636545 C = 9882.447951 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.178 4.178 2 C -0.093 4.093 3 C -0.115 4.115 4 C -0.047 4.047 5 C -0.114 4.114 6 C -0.115 4.115 7 C -0.110 4.110 8 C -0.073 4.073 9 C 0.235 3.765 10 C -0.161 4.161 11 C -0.159 4.159 12 N -0.753 5.753 13 C 0.706 3.294 14 O -0.573 6.573 15 N -0.611 5.611 16 C 0.261 3.739 17 C -0.525 4.525 18 H 0.057 0.943 19 C 0.062 3.938 20 N -0.895 5.895 21 Si 0.895 3.105 22 H -0.281 1.281 23 H -0.286 1.286 24 H -0.275 1.275 25 C 0.121 3.879 26 C -0.053 4.053 27 C 0.217 3.783 28 N -0.444 5.444 29 C -0.106 4.106 30 H 0.103 0.897 31 H 0.100 0.900 32 H 0.070 0.930 33 H 0.065 0.935 34 H 0.063 0.937 35 H 0.120 0.880 36 H 0.123 0.877 37 H 0.128 0.872 38 H 0.059 0.941 39 H 0.088 0.912 40 H 0.053 0.947 41 H 0.052 0.948 42 H 0.093 0.907 43 H 0.057 0.943 44 H 0.388 0.612 45 H 0.034 0.966 46 H 0.047 0.953 47 H 0.263 0.737 48 H 0.095 0.905 49 H 0.065 0.935 50 H 0.105 0.895 51 H 0.118 0.882 52 H 0.122 0.878 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 6.522 8.724 19.869 22.659 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 -0.215 4.215 2 C -0.093 4.093 3 C -0.171 4.171 4 C -0.047 4.047 5 C -0.132 4.132 6 C -0.133 4.133 7 C -0.128 4.128 8 C -0.073 4.073 9 C 0.148 3.852 10 C -0.219 4.219 11 C -0.217 4.217 12 N -0.413 5.413 13 C 0.408 3.592 14 O -0.449 6.449 15 N -0.346 5.346 16 C 0.141 3.859 17 C -0.564 4.564 18 H 0.075 0.925 19 C -0.140 4.140 20 N -0.534 5.534 21 Si 0.723 3.277 22 H -0.208 1.208 23 H -0.212 1.212 24 H -0.199 1.199 25 C -0.006 4.006 26 C -0.095 4.095 27 C -0.101 4.101 28 N -0.122 5.122 29 C -0.124 4.124 30 H 0.122 0.878 31 H 0.119 0.881 32 H 0.089 0.911 33 H 0.084 0.916 34 H 0.082 0.918 35 H 0.138 0.862 36 H 0.141 0.859 37 H 0.145 0.855 38 H 0.078 0.922 39 H 0.107 0.893 40 H 0.072 0.928 41 H 0.071 0.929 42 H 0.111 0.889 43 H 0.076 0.924 44 H 0.225 0.775 45 H 0.051 0.949 46 H 0.065 0.935 47 H 0.072 0.928 48 H 0.114 0.886 49 H 0.083 0.917 50 H 0.123 0.877 51 H 0.136 0.864 52 H 0.140 0.860 Dipole moment (debyes) X Y Z Total from point charges 6.440 9.384 19.676 22.730 hybrid contribution -1.098 -0.160 -0.173 1.123 sum 5.342 9.224 19.503 22.226 Atomic orbital electron populations 1.24162 0.94633 1.02235 1.00459 1.20501 0.94498 0.93231 1.01099 1.20838 1.00044 0.93759 1.02495 1.18906 0.97525 0.93900 0.94404 1.21166 0.97101 0.97092 0.97801 1.21048 0.99559 0.94383 0.98314 1.21086 0.98576 1.00075 0.93071 1.19902 0.96904 0.94732 0.95775 1.18800 0.95671 0.89612 0.81114 1.22298 0.94957 1.01201 1.03417 1.22254 0.97248 0.99002 1.03187 1.45642 1.77837 1.10235 1.07579 1.15855 0.78089 0.85441 0.79802 1.90837 1.57828 1.12061 1.84193 1.47540 1.71815 1.04861 1.10395 1.19237 0.97218 0.92881 0.76519 1.21456 0.94551 1.37105 1.03322 0.92470 1.24896 0.97667 0.95649 0.95752 1.69914 1.34069 1.41157 1.08228 0.86546 0.84998 0.78076 0.78077 1.20751 1.21166 1.19947 1.21179 0.94452 0.82397 1.02540 1.19951 1.01736 0.81260 1.06558 1.28989 0.93187 0.95071 0.92881 1.81053 1.08641 1.13173 1.09309 1.21056 0.99654 0.93721 0.98000 0.87826 0.88142 0.91135 0.91634 0.91753 0.86171 0.85875 0.85454 0.92171 0.89340 0.92783 0.92922 0.88873 0.92443 0.77497 0.94856 0.93453 0.92752 0.88650 0.91702 0.87679 0.86367 0.86016 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 -0.18 -1.60 13.95 28.82 0.40 -1.19 16 2 C -0.09 -0.87 5.44 -102.61 -0.56 -1.43 16 3 C -0.11 -0.90 10.02 36.01 0.36 -0.54 16 4 C -0.05 -0.48 5.31 -105.01 -0.56 -1.04 16 5 C -0.11 -1.04 9.70 -39.20 -0.38 -1.42 16 6 C -0.12 -1.00 10.03 -39.64 -0.40 -1.40 16 7 C -0.11 -1.07 9.14 -39.50 -0.36 -1.43 16 8 C -0.07 -0.81 4.80 -104.68 -0.50 -1.31 16 9 C 0.23 3.05 0.89 -132.97 -0.12 2.93 16 10 C -0.16 -2.04 7.86 37.16 0.29 -1.75 16 11 C -0.16 -2.25 8.37 37.16 0.31 -1.94 16 12 N -0.75 -10.65 4.74 -53.50 -0.25 -10.91 16 13 C 0.71 13.09 7.70 -86.92 -0.67 12.42 16 14 O -0.57 -12.85 12.13 5.28 0.06 -12.79 16 15 N -0.61 -11.25 2.46 -180.80 -0.44 -11.69 16 16 C 0.26 6.14 5.16 -5.19 -0.03 6.12 16 17 C -0.53 -14.00 9.39 -34.44 -0.32 -14.32 16 18 H 0.06 1.54 7.81 -52.49 -0.41 1.13 16 19 C 0.06 1.71 5.46 -17.82 -0.10 1.61 16 20 N -0.89 -25.49 13.29 55.43 0.74 -24.75 16 21 Si 0.90 21.30 29.54 -169.99 -5.02 16.28 16 22 H -0.28 -6.55 7.11 56.52 0.40 -6.15 16 23 H -0.29 -6.79 7.11 56.52 0.40 -6.39 16 24 H -0.27 -6.55 7.11 56.52 0.40 -6.15 16 25 C 0.12 1.66 5.13 -4.04 -0.02 1.64 16 26 C -0.05 -0.58 6.03 -29.52 -0.18 -0.76 16 27 C 0.22 2.68 15.42 -20.87 -0.32 2.36 16 28 N -0.44 -6.56 18.51 42.02 0.78 -5.78 16 29 C -0.11 -1.17 8.68 -39.19 -0.34 -1.51 16 30 H 0.10 0.79 8.05 -52.49 -0.42 0.36 16 31 H 0.10 0.93 8.05 -52.48 -0.42 0.51 16 32 H 0.07 0.58 8.14 -51.93 -0.42 0.16 16 33 H 0.06 0.44 8.07 -51.93 -0.42 0.02 16 34 H 0.06 0.47 8.03 -51.93 -0.42 0.05 16 35 H 0.12 0.90 8.06 -52.49 -0.42 0.48 16 36 H 0.12 0.79 8.06 -52.48 -0.42 0.37 16 37 H 0.13 1.07 6.32 -52.49 -0.33 0.74 16 38 H 0.06 0.62 6.51 -51.92 -0.34 0.29 16 39 H 0.09 1.40 6.25 -51.93 -0.32 1.07 16 40 H 0.05 0.65 8.14 -51.93 -0.42 0.22 16 41 H 0.05 0.75 8.14 -51.93 -0.42 0.33 16 42 H 0.09 1.63 6.08 -51.93 -0.32 1.31 16 43 H 0.06 0.69 8.14 -51.93 -0.42 0.27 16 44 H 0.39 4.72 4.13 -40.82 -0.17 4.55 16 45 H 0.03 0.78 8.07 -51.93 -0.42 0.36 16 46 H 0.05 1.28 7.42 -51.93 -0.39 0.89 16 47 H 0.26 7.14 8.31 -40.82 -0.34 6.80 16 48 H 0.10 1.39 8.07 -51.93 -0.42 0.97 16 49 H 0.06 0.77 6.36 -51.93 -0.33 0.44 16 50 H 0.11 1.01 8.14 -51.93 -0.42 0.59 16 51 H 0.12 1.28 8.14 -51.93 -0.42 0.86 16 52 H 0.12 1.34 6.42 -52.49 -0.34 1.01 16 LS Contribution 429.36 15.07 6.47 6.47 Total: -1.00 -31.92 429.36 -9.13 -41.06 By element: Atomic # 1 Polarization: 13.06 SS G_CDS: -7.98 Total: 5.08 kcal Atomic # 6 Polarization: 0.51 SS G_CDS: -3.49 Total: -2.98 kcal Atomic # 7 Polarization: -53.94 SS G_CDS: 0.82 Total: -53.13 kcal Atomic # 8 Polarization: -12.85 SS G_CDS: 0.06 Total: -12.79 kcal Atomic # 14 Polarization: 21.30 SS G_CDS: -5.02 Total: 16.28 kcal Total LS contribution 6.47 Total: 6.47 kcal Total: -31.92 -9.13 -41.06 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. ZINC000003204513.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 84.988 kcal (2) G-P(sol) polarization free energy of solvation -31.921 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 53.067 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.134 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.056 kcal (6) G-S(sol) free energy of system = (1) + (5) 43.933 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.91 seconds