Wall clock time and date at job start Tue Mar 31 2020 20:00:11 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 1.52998 * 1 3 3 C 1.52995 * 109.47387 * 2 1 4 4 H 1.08994 * 109.47272 * 54.99792 * 3 2 1 5 5 C 1.53005 * 109.46970 * 294.99767 * 3 2 1 6 6 C 1.53000 * 109.47416 * 174.99885 * 3 2 1 7 7 H 1.09008 * 109.46747 * 55.74955 * 6 3 2 8 8 C 1.53000 * 109.47393 * 175.75008 * 6 3 2 9 9 N 1.46502 * 109.47074 * 295.75672 * 6 3 2 10 10 C 1.34770 * 120.00086 * 118.83081 * 9 6 3 11 11 O 1.21350 * 120.00441 * 4.58395 * 10 9 6 12 12 C 1.49452 * 119.99845 * 184.57786 * 10 9 6 13 13 O 1.21349 * 119.99863 * 3.49312 * 12 10 9 14 14 N 1.34771 * 120.00065 * 183.49076 * 12 10 9 15 15 C 1.46504 * 120.00284 * 184.97058 * 14 12 10 16 16 C 1.53001 * 109.47360 * 184.80536 * 15 14 12 17 17 C 1.50700 * 115.54688 * 304.47643 * 16 15 14 18 18 H 1.07995 * 119.99551 * 144.42885 * 17 16 15 19 19 C 1.37873 * 120.00013 * 324.42388 * 17 16 15 20 20 N 1.31513 * 120.00484 * 351.76514 * 19 17 16 21 21 Si 1.86802 * 119.99789 * 171.77118 * 19 17 16 22 22 H 1.48501 * 109.47094 * 359.97438 * 21 19 17 23 23 H 1.48500 * 109.47332 * 119.99694 * 21 19 17 24 24 H 1.48501 * 109.46823 * 240.00136 * 21 19 17 25 25 C 1.53000 * 117.49419 * 158.80548 * 16 15 14 26 26 C 1.53000 * 117.49596 * 90.14758 * 16 15 14 27 27 C 1.46503 * 119.99690 * 298.83020 * 9 6 3 28 28 C 1.53000 * 117.49848 * 71.24739 * 27 9 6 29 29 C 1.53005 * 117.49831 * 2.59165 * 27 9 6 30 30 H 1.08996 * 109.47233 * 300.00220 * 1 2 3 31 31 H 1.09003 * 109.46947 * 59.99998 * 1 2 3 32 32 H 1.08997 * 109.47483 * 179.97438 * 1 2 3 33 33 H 1.09006 * 109.47128 * 239.99925 * 2 1 3 34 34 H 1.09003 * 109.46947 * 120.00002 * 2 1 3 35 35 H 1.09002 * 109.47013 * 55.23959 * 5 3 2 36 36 H 1.09004 * 109.47063 * 175.23071 * 5 3 2 37 37 H 1.09000 * 109.47383 * 295.23428 * 5 3 2 38 38 H 1.09000 * 109.46912 * 57.01969 * 8 6 3 39 39 H 1.08994 * 109.47144 * 177.01326 * 8 6 3 40 40 H 1.08999 * 109.47309 * 297.02078 * 8 6 3 41 41 H 0.97001 * 120.00278 * 4.96784 * 14 12 10 42 42 H 1.08999 * 109.46734 * 304.80822 * 15 14 12 43 43 H 1.09007 * 109.47100 * 64.79842 * 15 14 12 44 44 H 0.96998 * 120.00170 * 185.00586 * 20 19 17 45 45 H 1.08997 * 117.50334 * 0.02562 * 25 16 15 46 46 H 1.09007 * 117.49157 * 145.02320 * 25 16 15 47 47 H 1.08999 * 117.49326 * 214.97544 * 26 16 15 48 48 H 1.08992 * 117.50129 * 359.97438 * 26 16 15 49 49 H 1.08998 * 115.55158 * 216.92054 * 27 9 6 50 50 H 1.09004 * 117.49633 * 0.02562 * 28 27 9 51 51 H 1.09001 * 117.49535 * 145.01899 * 28 27 9 52 52 H 1.09001 * 117.50004 * 214.97865 * 29 27 9 53 53 H 1.09007 * 117.49732 * 0.02562 * 29 27 9 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 6 2.0400 1.4424 0.0000 4 1 1.6054 1.9815 0.8417 5 6 1.6353 2.1265 -1.3074 6 6 3.5648 1.4443 0.1257 7 1 3.9960 0.8418 -0.6739 8 6 4.0837 2.8797 0.0194 9 7 3.9486 0.8810 1.4226 10 6 4.7033 -0.2342 1.4762 11 8 5.1346 -0.7248 0.4535 12 6 5.0092 -0.8668 2.7952 13 8 4.5263 -0.4135 3.8120 14 7 5.8214 -1.9406 2.8554 15 6 6.0350 -2.6269 4.1320 16 6 7.0826 -3.7272 3.9505 17 6 6.7838 -4.7377 2.8731 18 1 7.5882 -5.1529 2.2843 19 6 5.4835 -5.1321 2.6393 20 7 4.5247 -4.7543 3.4564 21 14 5.0837 -6.2032 1.1621 22 1 6.3293 -6.4875 0.4052 23 1 4.4826 -7.4799 1.6245 24 1 4.1214 -5.4931 0.2818 25 6 7.8105 -4.2227 5.2017 26 6 8.5479 -3.3523 4.1809 27 6 3.5118 1.5302 2.6612 28 6 2.0298 1.4284 3.0276 29 6 2.6070 2.7575 2.5345 30 1 -0.3633 0.5138 0.8899 31 1 -0.3633 0.5139 -0.8900 32 1 -0.3634 -1.0276 -0.0005 33 1 1.8933 -0.5139 -0.8900 34 1 1.8933 -0.5139 0.8900 35 1 0.5558 2.0507 -1.4381 36 1 1.9241 3.1770 -1.2724 37 1 2.1376 1.6392 -2.1431 38 1 3.6120 3.4942 0.7862 39 1 5.1643 2.8869 0.1619 40 1 3.8443 3.2805 -0.9656 41 1 6.2645 -2.2592 2.0535 42 1 6.3852 -1.9108 4.8753 43 1 5.0972 -3.0697 4.4678 44 1 3.6230 -5.0903 3.3342 45 1 7.5429 -3.7651 6.1541 46 1 8.0738 -5.2796 5.2453 47 1 9.2959 -3.8370 3.5535 48 1 8.7657 -2.3219 4.4613 49 1 4.2340 1.5195 3.4776 50 1 1.3799 0.8780 2.3473 51 1 1.7770 1.3509 4.0851 52 1 2.7337 3.5541 3.2677 53 1 2.3364 3.0817 1.5295 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) 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 ZINC001327748481.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 20:00:11 Heat of formation + Delta-G solvation = -2.641761 kcal Electronic energy + Delta-G solvation = -31618.113210 eV Core-core repulsion = 27685.492447 eV Total energy + Delta-G solvation = -3932.620762 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.88 seconds Orbital eigenvalues (eV) -40.88316 -38.92264 -37.60147 -36.72025 -35.81160 -33.58057 -32.97490 -32.19574 -31.39349 -28.45749 -26.80056 -25.78556 -25.43532 -23.49708 -22.59527 -22.39717 -21.33051 -21.09119 -20.09457 -19.48494 -19.11044 -17.49898 -16.55880 -16.24510 -15.74628 -15.35137 -15.05948 -14.79817 -14.70039 -14.47062 -14.21316 -13.93187 -13.68298 -13.57615 -13.35354 -13.00510 -12.82390 -12.69531 -12.62122 -12.27356 -11.87751 -11.77747 -11.73939 -11.51856 -11.49938 -11.36765 -11.06679 -11.00987 -10.80218 -10.77957 -10.63851 -10.51340 -10.49226 -10.36508 -10.28703 -10.13765 -9.61563 -9.14506 -8.87720 -8.75065 -8.44331 -8.29817 -7.98182 -6.08487 -4.19876 1.99922 2.70862 3.23738 3.34370 3.36691 3.72676 3.92751 4.02820 4.31146 4.51286 4.71685 4.76724 4.87821 4.91057 5.03505 5.06992 5.16686 5.24727 5.29754 5.32330 5.34199 5.46275 5.47647 5.47936 5.56386 5.65388 5.78258 5.84098 5.90092 5.93888 5.94488 5.97043 6.03375 6.09964 6.14881 6.19415 6.26197 6.28743 6.42335 6.50304 6.56700 6.57359 6.65178 6.84593 7.01540 7.23057 7.28827 7.40860 7.51391 7.89521 8.00130 8.28363 8.41598 8.79092 8.84846 9.42842 10.87558 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.013025 B = 0.003915 C = 0.003443 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2149.137804 B = 7149.861111 C = 8129.678893 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C -0.122 4.122 3 C -0.123 4.123 4 H 0.095 0.905 5 C -0.147 4.147 6 C 0.137 3.863 7 H 0.102 0.898 8 C -0.175 4.175 9 N -0.559 5.559 10 C 0.511 3.489 11 O -0.520 6.520 12 C 0.494 3.506 13 O -0.538 6.538 14 N -0.651 5.651 15 C 0.157 3.843 16 C 0.035 3.965 17 C -0.497 4.497 18 H 0.063 0.937 19 C 0.076 3.924 20 N -0.872 5.872 21 Si 0.892 3.108 22 H -0.271 1.271 23 H -0.283 1.283 24 H -0.281 1.281 25 C -0.193 4.193 26 C -0.211 4.211 27 C 0.092 3.908 28 C -0.189 4.189 29 C -0.213 4.213 30 H 0.052 0.948 31 H 0.054 0.946 32 H 0.053 0.947 33 H 0.062 0.938 34 H 0.065 0.935 35 H 0.060 0.940 36 H 0.057 0.943 37 H 0.055 0.945 38 H 0.074 0.926 39 H 0.059 0.941 40 H 0.068 0.932 41 H 0.411 0.589 42 H 0.033 0.967 43 H 0.118 0.882 44 H 0.263 0.737 45 H 0.067 0.933 46 H 0.080 0.920 47 H 0.077 0.923 48 H 0.068 0.932 49 H 0.147 0.853 50 H 0.101 0.899 51 H 0.100 0.900 52 H 0.099 0.901 53 H 0.117 0.883 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -6.471 15.726 -5.122 17.760 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 -0.208 4.208 2 C -0.159 4.159 3 C -0.141 4.141 4 H 0.113 0.887 5 C -0.205 4.205 6 C 0.034 3.966 7 H 0.120 0.880 8 C -0.232 4.232 9 N -0.292 5.292 10 C 0.295 3.705 11 O -0.396 6.396 12 C 0.273 3.727 13 O -0.418 6.418 14 N -0.299 5.299 15 C 0.034 3.966 16 C 0.035 3.965 17 C -0.534 4.534 18 H 0.082 0.918 19 C -0.128 4.128 20 N -0.508 5.508 21 Si 0.719 3.281 22 H -0.195 1.195 23 H -0.210 1.210 24 H -0.207 1.207 25 C -0.232 4.232 26 C -0.248 4.248 27 C -0.012 4.012 28 C -0.227 4.227 29 C -0.250 4.250 30 H 0.072 0.928 31 H 0.073 0.927 32 H 0.072 0.928 33 H 0.080 0.920 34 H 0.084 0.916 35 H 0.079 0.921 36 H 0.076 0.924 37 H 0.075 0.925 38 H 0.093 0.907 39 H 0.079 0.921 40 H 0.087 0.913 41 H 0.247 0.753 42 H 0.051 0.949 43 H 0.136 0.864 44 H 0.073 0.927 45 H 0.086 0.914 46 H 0.099 0.901 47 H 0.095 0.905 48 H 0.087 0.913 49 H 0.164 0.836 50 H 0.119 0.881 51 H 0.118 0.882 52 H 0.118 0.882 53 H 0.134 0.866 Dipole moment (debyes) X Y Z Total from point charges -6.763 15.742 -4.975 17.841 hybrid contribution -0.063 -0.927 -1.024 1.383 sum -6.825 14.815 -5.999 17.380 Atomic orbital electron populations 1.21810 0.95850 1.01657 1.01477 1.21569 0.95746 0.95928 1.02704 1.22038 0.94824 0.97501 0.99781 0.88682 1.21910 1.01570 1.00177 0.96830 1.21209 0.94417 0.95247 0.85702 0.88027 1.22497 1.02031 0.95922 1.02760 1.47279 1.50477 1.25306 1.06102 1.20663 0.78727 0.80521 0.90561 1.90727 1.50844 1.61877 1.36104 1.19721 0.81605 0.82791 0.88551 1.90631 1.52587 1.63003 1.35581 1.45711 1.43136 1.26714 1.14371 1.21270 1.02589 0.90870 0.81827 1.19176 0.86978 0.95210 0.95159 1.20551 0.92589 1.23730 1.16523 0.91837 1.24956 0.96110 0.95619 0.96141 1.69783 1.01897 1.42871 1.36288 0.86525 0.78721 0.79957 0.82883 1.19537 1.20958 1.20677 1.22922 1.07896 0.98395 0.93956 1.22964 0.98579 0.98249 1.05056 1.22012 0.94028 0.97060 0.88104 1.23524 0.97471 0.99208 1.02529 1.23946 1.05125 0.92313 1.03610 0.92847 0.92659 0.92790 0.91960 0.91635 0.92135 0.92397 0.92542 0.90690 0.92142 0.91302 0.75256 0.94898 0.86428 0.92659 0.91443 0.90101 0.90489 0.91314 0.83553 0.88125 0.88199 0.88217 0.86584 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 -0.15 -1.58 9.64 37.16 0.36 -1.22 16 2 C -0.12 -1.53 4.50 -26.73 -0.12 -1.65 16 3 C -0.12 -1.29 1.20 -90.62 -0.11 -1.40 16 4 H 0.10 0.96 3.38 -51.93 -0.18 0.78 16 5 C -0.15 -1.24 8.43 37.16 0.31 -0.93 16 6 C 0.14 1.70 2.13 -67.93 -0.14 1.55 16 7 H 0.10 1.46 6.91 -51.92 -0.36 1.10 16 8 C -0.17 -1.72 8.44 37.16 0.31 -1.40 16 9 N -0.56 -8.34 2.05 -159.08 -0.33 -8.67 16 10 C 0.51 9.62 7.68 -11.59 -0.09 9.53 16 11 O -0.52 -10.79 15.83 5.50 0.09 -10.71 16 12 C 0.49 10.25 7.78 -11.59 -0.09 10.16 16 13 O -0.54 -11.39 13.36 5.50 0.07 -11.32 16 14 N -0.65 -14.40 5.36 -60.73 -0.33 -14.72 16 15 C 0.16 3.64 4.78 -4.04 -0.02 3.62 16 16 C 0.04 0.84 1.98 -155.66 -0.31 0.53 16 17 C -0.50 -12.79 8.34 -34.44 -0.29 -13.08 16 18 H 0.06 1.65 7.83 -52.49 -0.41 1.24 16 19 C 0.08 1.98 5.24 -17.82 -0.09 1.88 16 20 N -0.87 -23.33 10.65 55.43 0.59 -22.74 16 21 Si 0.89 20.77 29.55 -169.99 -5.02 15.74 16 22 H -0.27 -6.25 7.11 56.52 0.40 -5.85 16 23 H -0.28 -6.57 7.11 56.52 0.40 -6.17 16 24 H -0.28 -6.68 7.11 56.52 0.40 -6.28 16 25 C -0.19 -4.19 9.96 -26.69 -0.27 -4.45 16 26 C -0.21 -4.40 9.93 -26.69 -0.27 -4.66 16 27 C 0.09 1.25 4.62 -67.93 -0.31 0.94 16 28 C -0.19 -2.32 9.67 -26.70 -0.26 -2.58 16 29 C -0.21 -2.13 7.93 -26.69 -0.21 -2.35 16 30 H 0.05 0.53 7.78 -51.93 -0.40 0.12 16 31 H 0.05 0.50 6.47 -51.93 -0.34 0.16 16 32 H 0.05 0.58 8.14 -51.93 -0.42 0.16 16 33 H 0.06 0.83 8.14 -51.93 -0.42 0.41 16 34 H 0.06 1.01 6.84 -51.93 -0.36 0.66 16 35 H 0.06 0.47 6.35 -51.93 -0.33 0.14 16 36 H 0.06 0.41 6.71 -51.93 -0.35 0.06 16 37 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 38 H 0.07 0.66 4.59 -51.93 -0.24 0.42 16 39 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 40 H 0.07 0.56 6.64 -51.93 -0.34 0.21 16 41 H 0.41 9.32 7.48 -40.82 -0.31 9.02 16 42 H 0.03 0.74 8.06 -51.93 -0.42 0.32 16 43 H 0.12 3.08 5.90 -51.93 -0.31 2.77 16 44 H 0.26 6.86 8.32 -40.82 -0.34 6.52 16 45 H 0.07 1.37 8.14 -51.93 -0.42 0.95 16 46 H 0.08 1.76 8.14 -51.92 -0.42 1.34 16 47 H 0.08 1.57 8.14 -51.93 -0.42 1.15 16 48 H 0.07 1.33 8.14 -51.93 -0.42 0.91 16 49 H 0.15 2.23 6.25 -51.93 -0.32 1.91 16 50 H 0.10 1.27 4.78 -51.93 -0.25 1.02 16 51 H 0.10 1.22 8.14 -51.93 -0.42 0.80 16 52 H 0.10 0.86 8.14 -51.93 -0.42 0.43 16 53 H 0.12 1.05 3.39 -51.93 -0.18 0.87 16 LS Contribution 399.43 15.07 6.02 6.02 Total: -1.00 -27.49 399.43 -8.94 -36.43 By element: Atomic # 1 Polarization: 23.92 SS G_CDS: -8.44 Total: 15.47 kcal Atomic # 6 Polarization: -3.92 SS G_CDS: -1.59 Total: -5.51 kcal Atomic # 7 Polarization: -46.07 SS G_CDS: -0.06 Total: -46.13 kcal Atomic # 8 Polarization: -22.18 SS G_CDS: 0.16 Total: -22.02 kcal Atomic # 14 Polarization: 20.77 SS G_CDS: -5.02 Total: 15.74 kcal Total LS contribution 6.02 Total: 6.02 kcal Total: -27.49 -8.94 -36.43 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. ZINC001327748481.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 33.785 kcal (2) G-P(sol) polarization free energy of solvation -27.490 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 6.295 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.937 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -36.427 kcal (6) G-S(sol) free energy of system = (1) + (5) -2.642 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.88 seconds