Wall clock time and date at job start Sat Apr 11 2020 06:14:14 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 1.53009 * 109.47234 * 2 1 4 4 N 1.46899 * 109.47227 * 179.97438 * 3 2 1 5 5 C 1.46902 * 110.99838 * 293.95419 * 4 3 2 6 6 C 1.46897 * 110.99986 * 169.99948 * 4 3 2 7 7 C 1.50696 * 109.47108 * 190.00214 * 6 4 3 8 8 O 1.21282 * 120.00151 * 359.97438 * 7 6 4 9 9 N 1.34777 * 119.99919 * 180.02562 * 7 6 4 10 10 C 1.47020 * 125.64942 * 0.03694 * 9 7 6 11 11 C 1.54366 * 107.28976 * 178.87216 * 10 9 7 12 12 C 1.55157 * 102.92392 * 337.86365 * 11 10 9 13 13 H 1.08996 * 111.00484 * 277.36153 * 12 11 10 14 14 N 1.46892 * 111.00742 * 153.54291 * 12 11 10 15 15 C 1.46903 * 111.00067 * 60.53373 * 14 12 11 16 16 C 1.46902 * 111.00147 * 184.48558 * 14 12 11 17 17 C 1.50699 * 109.47373 * 170.00188 * 16 14 12 18 18 O 1.21293 * 119.99838 * 0.02562 * 17 16 14 19 19 N 1.34773 * 120.00384 * 179.97438 * 17 16 14 20 20 C 1.37095 * 120.00421 * 179.97438 * 19 17 16 21 21 H 1.08008 * 119.99893 * 0.02562 * 20 19 17 22 22 C 1.38948 * 120.00441 * 179.97438 * 20 19 17 23 23 N 1.31413 * 119.99841 * 0.02562 * 22 20 19 24 24 Si 1.86799 * 120.00293 * 180.02562 * 22 20 19 25 25 H 1.48504 * 109.47051 * 0.02562 * 24 22 20 26 26 H 1.48501 * 109.47065 * 120.00191 * 24 22 20 27 27 H 1.48503 * 109.47254 * 240.00437 * 24 22 20 28 28 C 1.47423 * 125.64874 * 179.97438 * 9 7 6 29 29 H 1.09005 * 109.46612 * 60.00198 * 1 2 3 30 30 H 1.08995 * 109.46979 * 179.97438 * 1 2 3 31 31 H 1.08996 * 109.47207 * 300.00465 * 1 2 3 32 32 H 1.09002 * 109.47609 * 239.99732 * 2 1 3 33 33 H 1.09004 * 109.47135 * 119.99825 * 2 1 3 34 34 H 1.09000 * 109.46689 * 59.99779 * 3 2 1 35 35 H 1.08995 * 109.46676 * 299.99769 * 3 2 1 36 36 H 1.08994 * 109.46873 * 296.04424 * 5 4 3 37 37 H 1.09005 * 109.47177 * 56.04781 * 5 4 3 38 38 H 1.09004 * 109.47018 * 176.04656 * 5 4 3 39 39 H 1.09005 * 109.46947 * 69.99824 * 6 4 3 40 40 H 1.09008 * 109.47001 * 310.00141 * 6 4 3 41 41 H 1.09001 * 109.88351 * 298.32482 * 10 9 7 42 42 H 1.09001 * 109.87968 * 59.33545 * 10 9 7 43 43 H 1.08998 * 110.75863 * 219.49427 * 11 10 9 44 44 H 1.08994 * 110.70501 * 96.20745 * 11 10 9 45 45 H 1.08996 * 109.47342 * 178.47818 * 15 14 12 46 46 H 1.09005 * 109.46922 * 58.47720 * 15 14 12 47 47 H 1.08995 * 109.47042 * 298.47855 * 15 14 12 48 48 H 1.09000 * 109.46986 * 290.00273 * 16 14 12 49 49 H 1.08995 * 109.46970 * 50.00243 * 16 14 12 50 50 H 0.97001 * 119.99790 * 0.02562 * 19 17 16 51 51 H 0.96996 * 119.99791 * 179.97438 * 23 22 20 52 52 H 1.08997 * 110.36767 * 85.32301 * 28 9 7 53 53 H 1.09003 * 110.46068 * 323.05129 * 28 9 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 1.5300 0.0000 0.0000 3 6 2.0400 1.4426 0.0000 4 7 3.5090 1.4426 0.0006 5 6 4.0349 0.8859 1.2543 6 6 4.0356 2.7931 -0.2375 7 6 5.5219 2.7182 -0.4743 8 8 6.0871 1.6455 -0.4468 9 7 6.2234 3.8435 -0.7155 10 6 5.6678 5.2034 -0.7748 11 6 6.8424 6.1674 -1.0468 12 6 8.0748 5.3574 -0.5647 13 1 8.2015 5.4440 0.5145 14 7 9.2918 5.7803 -1.2704 15 6 9.5749 7.2010 -1.0268 16 6 10.4378 4.9427 -0.8920 17 6 11.5995 5.2385 -1.8051 18 8 11.4843 6.0660 -2.6844 19 7 12.7668 4.5844 -1.6442 20 6 13.8235 4.8531 -2.4753 21 1 13.7207 5.5894 -3.2588 22 6 15.0271 4.1791 -2.3090 23 7 15.1524 3.2836 -1.3554 24 14 16.4671 4.5458 -3.4409 25 1 16.0716 5.5864 -4.4238 26 1 17.6160 5.0355 -2.6376 27 1 16.8586 3.3074 -4.1610 28 6 7.6751 3.9148 -0.9623 29 1 -0.3633 0.5138 -0.8901 30 1 -0.3633 -1.0276 -0.0005 31 1 -0.3633 0.5139 0.8899 32 1 1.8934 -0.5139 -0.8899 33 1 1.8933 -0.5138 0.8900 34 1 1.6766 1.9564 0.8900 35 1 1.6767 1.9563 -0.8900 36 1 3.7435 1.5265 2.0866 37 1 3.6292 -0.1143 1.4061 38 1 5.1223 0.8326 1.2002 39 1 3.8372 3.4190 0.6326 40 1 3.5494 3.2235 -1.1131 41 1 4.9380 5.2708 -1.5816 42 1 5.1943 5.4521 0.1750 43 1 6.7323 7.0838 -0.4669 44 1 6.9196 6.3901 -2.1109 45 1 10.4955 7.4811 -1.5388 46 1 9.6887 7.3704 0.0440 47 1 8.7506 7.8057 -1.4047 48 1 10.7212 5.1587 0.1382 49 1 10.1644 3.8913 -0.9808 50 1 12.8590 3.9228 -0.9408 51 1 15.9925 2.8128 -1.2396 52 1 7.8898 3.7387 -2.0163 53 1 8.2030 3.1902 -0.3422 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 ZINC001193623047.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 06:14:14 Heat of formation + Delta-G solvation = -48.444724 kcal Electronic energy + Delta-G solvation = -29914.959998 eV Core-core repulsion = 25822.189770 eV Total energy + Delta-G solvation = -4092.770228 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.69 seconds Orbital eigenvalues (eV) -40.41190 -38.97407 -38.04489 -37.17355 -35.45450 -33.81884 -33.52804 -31.30642 -31.09642 -29.59630 -28.04213 -27.83415 -27.29311 -24.96837 -24.33579 -23.15346 -22.73188 -21.10018 -20.28077 -19.43297 -19.01887 -17.83165 -17.45007 -16.87788 -16.18384 -16.07708 -15.72921 -15.44727 -15.12444 -14.65437 -14.64661 -14.53282 -14.22342 -13.97859 -13.84579 -13.65452 -13.37849 -13.24008 -13.06476 -12.77225 -12.69837 -12.39681 -12.19214 -12.10545 -12.02699 -11.84603 -11.66303 -11.51902 -11.43944 -11.38105 -11.27443 -11.07337 -10.97093 -10.92972 -10.77109 -10.32851 -10.20929 -9.86745 -9.47330 -8.78746 -8.63220 -8.47279 -7.98672 -7.89462 -6.40112 -3.80973 2.50837 2.63535 3.17638 3.28243 3.35208 3.59906 3.89991 3.94200 4.16576 4.23769 4.46287 4.49213 4.60812 4.64113 4.76953 4.87664 4.90456 5.00615 5.05811 5.09247 5.12849 5.14481 5.18608 5.26977 5.27888 5.32739 5.37808 5.40511 5.58774 5.63720 5.64875 5.69379 5.76686 5.78064 5.84265 5.88692 5.90548 5.92999 5.98123 6.05090 6.12696 6.28919 6.50791 6.59171 6.71766 7.18692 7.31107 7.38978 7.56956 8.07402 8.07933 8.62978 9.19593 9.55897 10.07319 10.77650 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.018556 B = 0.001881 C = 0.001752 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1508.559316 B =14883.355598 C =15981.304436 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 0.056 3.944 4 N -0.526 5.526 5 C 0.016 3.984 6 C 0.043 3.957 7 C 0.528 3.472 8 O -0.519 6.519 9 N -0.620 5.620 10 C 0.102 3.898 11 C -0.122 4.122 12 C 0.069 3.931 13 H 0.054 0.946 14 N -0.507 5.507 15 C 0.024 3.976 16 C 0.042 3.958 17 C 0.445 3.555 18 O -0.578 6.578 19 N -0.564 5.564 20 C -0.298 4.298 21 H 0.104 0.896 22 C 0.022 3.978 23 N -0.901 5.901 24 Si 0.929 3.071 25 H -0.268 1.268 26 H -0.282 1.282 27 H -0.281 1.281 28 C 0.114 3.886 29 H 0.055 0.945 30 H 0.056 0.944 31 H 0.052 0.948 32 H 0.072 0.928 33 H 0.063 0.937 34 H 0.033 0.967 35 H 0.074 0.926 36 H 0.019 0.981 37 H 0.071 0.929 38 H 0.089 0.911 39 H 0.062 0.938 40 H 0.103 0.897 41 H 0.071 0.929 42 H 0.066 0.934 43 H 0.081 0.919 44 H 0.092 0.908 45 H 0.098 0.902 46 H 0.014 0.986 47 H 0.062 0.938 48 H 0.048 0.952 49 H 0.089 0.911 50 H 0.392 0.608 51 H 0.271 0.729 52 H 0.083 0.917 53 H 0.078 0.922 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -27.401 0.369 7.530 28.420 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 -0.209 4.209 2 C -0.160 4.160 3 C -0.072 4.072 4 N -0.250 5.250 5 C -0.132 4.132 6 C -0.088 4.088 7 C 0.316 3.684 8 O -0.394 6.394 9 N -0.357 5.357 10 C -0.021 4.021 11 C -0.160 4.160 12 C -0.041 4.041 13 H 0.072 0.928 14 N -0.231 5.231 15 C -0.124 4.124 16 C -0.089 4.089 17 C 0.230 3.770 18 O -0.462 6.462 19 N -0.200 5.200 20 C -0.428 4.428 21 H 0.122 0.878 22 C -0.180 4.180 23 N -0.542 5.542 24 Si 0.757 3.243 25 H -0.192 1.192 26 H -0.208 1.208 27 H -0.207 1.207 28 C -0.008 4.008 29 H 0.074 0.926 30 H 0.076 0.924 31 H 0.071 0.929 32 H 0.091 0.909 33 H 0.082 0.918 34 H 0.051 0.949 35 H 0.093 0.907 36 H 0.038 0.962 37 H 0.089 0.911 38 H 0.107 0.893 39 H 0.079 0.921 40 H 0.121 0.879 41 H 0.089 0.911 42 H 0.084 0.916 43 H 0.099 0.901 44 H 0.110 0.890 45 H 0.116 0.884 46 H 0.033 0.967 47 H 0.081 0.919 48 H 0.066 0.934 49 H 0.107 0.893 50 H 0.225 0.775 51 H 0.081 0.919 52 H 0.101 0.899 53 H 0.096 0.904 Dipole moment (debyes) X Y Z Total from point charges -26.972 -0.214 6.128 27.660 hybrid contribution 0.682 0.405 1.518 1.712 sum -26.290 0.191 7.646 27.380 Atomic orbital electron populations 1.21736 0.95549 1.01875 1.01705 1.21545 0.95279 0.96137 1.03052 1.22209 0.86498 0.97756 1.00748 1.61633 1.07226 1.19791 1.36387 1.22623 1.03039 0.99465 0.88066 1.21932 0.92820 0.91514 1.02580 1.20132 0.88805 0.82655 0.76793 1.90703 1.71181 1.27428 1.50067 1.48447 1.09274 1.06579 1.71351 1.22069 0.97066 0.81670 1.01325 1.22697 0.92359 0.97314 1.03679 1.22779 0.91023 0.94272 0.96030 0.92814 1.61604 1.01391 1.03765 1.56338 1.22532 1.04132 0.87465 0.98267 1.21923 0.91340 0.98314 0.97338 1.19670 0.83828 0.85747 0.87758 1.90483 1.82931 1.36597 1.36201 1.41873 1.10135 1.36726 1.31279 1.19747 0.89400 1.21583 1.12077 0.87828 1.25266 0.99066 0.96089 0.97544 1.69623 1.27161 1.25563 1.31873 0.85802 0.80458 0.78350 0.79734 1.19219 1.20816 1.20748 1.22239 0.79701 0.96384 1.02518 0.92633 0.92447 0.92925 0.90892 0.91813 0.94868 0.90718 0.96238 0.91071 0.89273 0.92052 0.87935 0.91113 0.91558 0.90064 0.88953 0.88385 0.96741 0.91936 0.93351 0.89290 0.77483 0.91923 0.89853 0.90379 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 -0.79 9.91 37.16 0.37 -0.42 16 2 C -0.12 -0.83 5.87 -26.73 -0.16 -0.99 16 3 C 0.06 0.40 4.96 -3.82 -0.02 0.38 16 4 N -0.53 -5.15 4.50 -244.36 -1.10 -6.25 16 5 C 0.02 0.15 9.01 60.07 0.54 0.70 16 6 C 0.04 0.38 4.64 -4.98 -0.02 0.35 16 7 C 0.53 6.56 7.58 -10.99 -0.08 6.47 16 8 O -0.52 -8.54 14.57 5.56 0.08 -8.46 16 9 N -0.62 -7.00 3.33 -170.51 -0.57 -7.56 16 10 C 0.10 0.80 6.49 -3.04 -0.02 0.78 16 11 C -0.12 -1.12 5.32 -24.87 -0.13 -1.25 16 12 C 0.07 0.84 2.71 -65.58 -0.18 0.66 16 13 H 0.05 0.64 8.14 -51.93 -0.42 0.21 16 14 N -0.51 -8.01 4.40 -233.76 -1.03 -9.04 16 15 C 0.02 0.36 8.97 60.07 0.54 0.90 16 16 C 0.04 0.75 5.33 -4.98 -0.03 0.72 16 17 C 0.44 10.40 7.46 -10.99 -0.08 10.32 16 18 O -0.58 -15.28 13.92 5.55 0.08 -15.21 16 19 N -0.56 -14.31 5.29 -10.96 -0.06 -14.37 16 20 C -0.30 -8.32 9.68 -14.93 -0.14 -8.47 16 21 H 0.10 3.02 7.16 -52.48 -0.38 2.65 16 22 C 0.02 0.59 5.50 -17.47 -0.10 0.49 16 23 N -0.90 -24.70 13.05 55.50 0.72 -23.97 16 24 Si 0.93 21.14 29.55 -169.99 -5.02 16.12 16 25 H -0.27 -6.08 7.11 56.52 0.40 -5.68 16 26 H -0.28 -6.31 7.11 56.52 0.40 -5.90 16 27 H -0.28 -6.33 7.11 56.52 0.40 -5.93 16 28 C 0.11 1.50 5.41 -2.54 -0.01 1.49 16 29 H 0.05 0.27 8.14 -51.93 -0.42 -0.15 16 30 H 0.06 0.28 8.14 -51.93 -0.42 -0.14 16 31 H 0.05 0.25 8.14 -51.93 -0.42 -0.17 16 32 H 0.07 0.57 8.14 -51.93 -0.42 0.15 16 33 H 0.06 0.44 6.47 -51.93 -0.34 0.11 16 34 H 0.03 0.22 8.12 -51.93 -0.42 -0.21 16 35 H 0.07 0.48 7.93 -51.93 -0.41 0.06 16 36 H 0.02 0.16 8.14 -51.93 -0.42 -0.26 16 37 H 0.07 0.63 6.30 -51.93 -0.33 0.30 16 38 H 0.09 1.10 5.88 -51.93 -0.31 0.80 16 39 H 0.06 0.44 8.12 -51.93 -0.42 0.02 16 40 H 0.10 0.73 7.93 -51.92 -0.41 0.31 16 41 H 0.07 0.45 8.14 -51.93 -0.42 0.03 16 42 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 43 H 0.08 0.61 8.11 -51.93 -0.42 0.18 16 44 H 0.09 0.94 8.14 -51.93 -0.42 0.52 16 45 H 0.10 1.85 5.81 -51.93 -0.30 1.55 16 46 H 0.01 0.19 8.14 -51.93 -0.42 -0.23 16 47 H 0.06 0.80 7.22 -51.93 -0.37 0.42 16 48 H 0.05 0.79 8.12 -51.93 -0.42 0.37 16 49 H 0.09 1.49 6.75 -51.93 -0.35 1.13 16 50 H 0.39 9.59 7.90 -40.82 -0.32 9.27 16 51 H 0.27 7.02 8.31 -40.82 -0.34 6.68 16 52 H 0.08 1.24 8.14 -51.93 -0.42 0.82 16 53 H 0.08 1.11 7.68 -51.93 -0.40 0.71 16 LS Contribution 416.11 15.07 6.27 6.27 Total: -1.00 -33.21 416.11 -9.54 -42.74 By element: Atomic # 1 Polarization: 16.99 SS G_CDS: -9.39 Total: 7.60 kcal Atomic # 6 Polarization: 11.66 SS G_CDS: 0.47 Total: 12.14 kcal Atomic # 7 Polarization: -59.17 SS G_CDS: -2.03 Total: -61.20 kcal Atomic # 8 Polarization: -23.83 SS G_CDS: 0.16 Total: -23.67 kcal Atomic # 14 Polarization: 21.14 SS G_CDS: -5.02 Total: 16.12 kcal Total LS contribution 6.27 Total: 6.27 kcal Total: -33.21 -9.54 -42.74 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. ZINC001193623047.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 -5.703 kcal (2) G-P(sol) polarization free energy of solvation -33.205 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -38.908 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.537 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.742 kcal (6) G-S(sol) free energy of system = (1) + (5) -48.445 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.69 seconds