Wall clock time and date at job start Sat Apr 11 2020 06:11:28 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 1.53003 * 1 3 3 C 1.53001 * 109.47253 * 2 1 4 4 H 1.08992 * 109.47423 * 176.78590 * 3 2 1 5 5 C 1.50705 * 109.47111 * 296.78901 * 3 2 1 6 6 O 1.21276 * 120.00144 * 91.31061 * 5 3 2 7 7 N 1.34780 * 119.99317 * 271.30612 * 5 3 2 8 8 C 1.46491 * 120.00212 * 3.99198 * 7 5 3 9 9 C 1.46502 * 119.99603 * 183.98543 * 7 5 3 10 10 C 1.53782 * 113.61342 * 123.95640 * 9 7 5 11 11 C 1.53776 * 87.08268 * 140.06847 * 10 9 7 12 12 N 1.46895 * 113.61418 * 219.93919 * 11 10 9 13 13 C 1.46900 * 111.00108 * 203.46824 * 12 11 10 14 14 C 1.50697 * 109.47453 * 179.97438 * 13 12 11 15 15 O 1.21293 * 119.99796 * 0.02562 * 14 13 12 16 16 N 1.34778 * 120.00118 * 180.02562 * 14 13 12 17 17 C 1.37099 * 119.99893 * 180.02562 * 16 14 13 18 18 H 1.08002 * 120.00496 * 359.97438 * 17 16 14 19 19 C 1.38950 * 120.00091 * 179.97438 * 17 16 14 20 20 N 1.31420 * 119.99822 * 359.97438 * 19 17 16 21 21 Si 1.86802 * 120.00362 * 179.97438 * 19 17 16 22 22 H 1.48500 * 109.46767 * 0.02562 * 21 19 17 23 23 H 1.48501 * 109.47065 * 119.99563 * 21 19 17 24 24 H 1.48496 * 109.47147 * 239.99936 * 21 19 17 25 25 C 1.53777 * 113.69453 * 221.49315 * 9 7 5 26 26 N 1.46903 * 109.46999 * 56.78631 * 3 2 1 27 27 C 1.46897 * 111.00154 * 56.22175 * 26 3 2 28 28 C 1.46895 * 111.00053 * 180.18304 * 26 3 2 29 29 H 1.08996 * 109.47056 * 185.54010 * 1 2 3 30 30 H 1.09002 * 109.46674 * 305.53676 * 1 2 3 31 31 H 1.08995 * 109.47159 * 65.53619 * 1 2 3 32 32 H 1.09005 * 109.46800 * 240.00574 * 2 1 3 33 33 H 1.08998 * 109.47284 * 120.00174 * 2 1 3 34 34 H 1.09007 * 109.46854 * 183.14732 * 8 7 5 35 35 H 1.08997 * 109.47575 * 303.14554 * 8 7 5 36 36 H 1.09000 * 109.47493 * 63.15457 * 8 7 5 37 37 H 1.09004 * 112.85143 * 352.76628 * 9 7 5 38 38 H 1.09004 * 113.61201 * 25.51673 * 10 9 7 39 39 H 1.09006 * 113.61695 * 254.61842 * 10 9 7 40 40 H 1.09000 * 113.61795 * 89.11472 * 11 10 9 41 41 H 1.00907 * 111.00496 * 79.51706 * 12 11 10 42 42 H 1.08997 * 109.47042 * 300.00061 * 13 12 11 43 43 H 1.09004 * 109.47011 * 59.99693 * 13 12 11 44 44 H 0.97000 * 120.00303 * 359.97438 * 16 14 13 45 45 H 0.96998 * 119.99578 * 179.97438 * 20 19 17 46 46 H 1.09001 * 113.61369 * 105.46114 * 25 9 7 47 47 H 1.09002 * 113.61375 * 334.55865 * 25 9 7 48 48 H 1.09008 * 109.46815 * 61.97993 * 27 26 3 49 49 H 1.08998 * 109.47026 * 181.97776 * 27 26 3 50 50 H 1.08995 * 109.47002 * 301.98215 * 27 26 3 51 51 H 1.09004 * 109.47558 * 66.01904 * 28 26 3 52 52 H 1.09002 * 109.47369 * 186.01795 * 28 26 3 53 53 H 1.09001 * 109.47238 * 306.01944 * 28 26 3 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 2.0401 1.4425 0.0000 4 1 3.1285 1.4431 0.0576 5 6 1.6038 2.1296 -1.2684 6 8 0.5555 2.7387 -1.2983 7 7 2.3787 2.0672 -2.3693 8 6 3.6010 1.2598 -2.3599 9 6 1.9986 2.8067 -3.5755 10 6 3.0871 3.7712 -4.0754 11 6 2.7127 3.3303 -5.5003 12 7 3.8715 3.1587 -6.3867 13 6 3.4801 3.2910 -7.7964 14 6 4.6921 3.1100 -8.6734 15 8 5.7754 2.8916 -8.1733 16 7 4.5725 3.1906 -10.0134 17 6 5.6751 3.0254 -10.8113 18 1 6.6396 2.8309 -10.3661 19 6 5.5516 3.1080 -12.1928 20 7 4.3778 3.3441 -12.7347 21 14 7.0540 2.8836 -13.2800 22 1 8.2458 2.6302 -12.4310 23 1 6.8395 1.7287 -14.1885 24 1 7.2710 4.1127 -14.0845 25 6 2.2112 2.0167 -4.8775 26 7 1.4880 2.1570 1.1588 27 6 1.8184 1.4639 2.4110 28 6 1.9538 3.5499 1.1892 29 1 -0.3633 -1.0228 0.0992 30 1 -0.3633 0.5973 0.8363 31 1 -0.3633 0.4256 -0.9354 32 1 1.8933 -0.5138 -0.8901 33 1 1.8934 -0.5138 0.8899 34 1 4.1205 1.3759 -3.3112 35 1 4.2495 1.5915 -1.5490 36 1 3.3427 0.2111 -2.2127 37 1 1.0121 3.2640 -3.4984 38 1 4.0957 3.4822 -3.7797 39 1 2.8690 4.8195 -3.8712 40 1 1.9215 3.9306 -5.9494 41 1 4.3268 2.2739 -6.2194 42 1 2.7379 2.5310 -8.0403 43 1 3.0553 4.2808 -7.9641 44 1 3.7061 3.3649 -10.4134 45 1 4.2918 3.4022 -13.6991 46 1 1.2860 1.6485 -5.3209 47 1 2.9804 1.2481 -4.8012 48 1 2.9009 1.4372 2.5368 49 1 1.3681 1.9947 3.2498 50 1 1.4315 0.4455 2.3756 51 1 1.5459 4.0882 0.3336 52 1 1.6184 4.0251 2.1110 53 1 3.0428 3.5699 1.1455 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 ZINC001508141935.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 06:11:28 Heat of formation + Delta-G solvation = -30.821606 kcal Electronic energy + Delta-G solvation = -30152.170582 eV Core-core repulsion = 26060.164549 eV Total energy + Delta-G solvation = -4092.006033 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 1.04 seconds Orbital eigenvalues (eV) -40.92810 -39.34346 -38.11896 -37.17877 -35.27576 -34.03002 -33.41898 -32.72791 -31.20598 -28.49730 -27.61500 -27.45232 -26.62842 -25.78570 -24.47766 -23.64511 -23.27408 -21.36916 -19.82005 -19.18069 -18.97193 -17.88209 -17.58993 -16.94245 -16.24740 -16.05442 -15.81308 -15.48865 -15.05455 -14.78226 -14.74068 -14.48118 -14.07916 -14.04506 -13.64371 -13.50814 -13.29442 -13.21836 -12.99478 -12.80354 -12.71467 -12.63826 -12.49698 -12.38752 -12.07190 -11.93286 -11.75744 -11.61313 -11.56461 -11.38623 -11.20708 -11.10948 -11.08486 -10.97295 -10.72771 -10.35500 -10.23464 -9.77672 -9.53384 -8.82680 -8.69392 -8.46087 -8.04343 -7.96584 -6.43011 -3.83886 2.36598 2.63469 3.15317 3.25968 3.33097 3.54338 3.89445 4.08978 4.10192 4.29466 4.45770 4.48777 4.54907 4.56482 4.75330 4.79041 4.82290 4.85628 4.93568 4.96759 5.09859 5.15661 5.16523 5.19065 5.25117 5.26449 5.31165 5.42572 5.46022 5.52487 5.60057 5.62046 5.65699 5.68284 5.78707 5.79168 5.82776 5.93002 5.98883 6.03620 6.18242 6.26654 6.35662 6.52891 6.60168 7.15560 7.23640 7.54175 7.62815 7.99282 8.05233 8.59796 9.16623 9.53090 10.04260 10.74740 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.031750 B = 0.001686 C = 0.001683 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 881.687809 B =16604.146877 C =16628.080850 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C -0.113 4.113 3 C 0.066 3.934 4 H 0.061 0.939 5 C 0.522 3.478 6 O -0.518 6.518 7 N -0.605 5.605 8 C 0.072 3.928 9 C 0.121 3.879 10 C -0.137 4.137 11 C 0.072 3.928 12 N -0.654 5.654 13 C 0.049 3.951 14 C 0.440 3.560 15 O -0.585 6.585 16 N -0.564 5.564 17 C -0.299 4.299 18 H 0.104 0.896 19 C 0.022 3.978 20 N -0.901 5.901 21 Si 0.930 3.070 22 H -0.268 1.268 23 H -0.282 1.282 24 H -0.281 1.281 25 C -0.181 4.181 26 N -0.522 5.522 27 C 0.021 3.979 28 C 0.020 3.980 29 H 0.048 0.952 30 H 0.072 0.928 31 H 0.056 0.944 32 H 0.069 0.931 33 H 0.074 0.926 34 H 0.086 0.914 35 H 0.061 0.939 36 H 0.061 0.939 37 H 0.120 0.880 38 H 0.089 0.911 39 H 0.072 0.928 40 H 0.100 0.900 41 H 0.350 0.650 42 H 0.045 0.955 43 H 0.086 0.914 44 H 0.392 0.608 45 H 0.271 0.729 46 H 0.072 0.928 47 H 0.089 0.911 48 H 0.025 0.975 49 H 0.072 0.928 50 H 0.074 0.926 51 H 0.077 0.923 52 H 0.071 0.929 53 H 0.023 0.977 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -7.628 -5.385 26.960 28.531 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 -0.204 4.204 2 C -0.151 4.151 3 C -0.045 4.045 4 H 0.078 0.922 5 C 0.309 3.691 6 O -0.393 6.393 7 N -0.338 5.338 8 C -0.071 4.071 9 C 0.017 3.983 10 C -0.177 4.177 11 C -0.040 4.040 12 N -0.285 5.285 13 C -0.083 4.083 14 C 0.226 3.774 15 O -0.469 6.469 16 N -0.200 5.200 17 C -0.429 4.429 18 H 0.121 0.879 19 C -0.180 4.180 20 N -0.543 5.543 21 Si 0.757 3.243 22 H -0.192 1.192 23 H -0.208 1.208 24 H -0.207 1.207 25 C -0.221 4.221 26 N -0.246 5.246 27 C -0.127 4.127 28 C -0.128 4.128 29 H 0.067 0.933 30 H 0.091 0.909 31 H 0.075 0.925 32 H 0.088 0.912 33 H 0.092 0.908 34 H 0.105 0.895 35 H 0.079 0.921 36 H 0.079 0.921 37 H 0.138 0.862 38 H 0.108 0.892 39 H 0.091 0.909 40 H 0.118 0.882 41 H 0.170 0.830 42 H 0.063 0.937 43 H 0.105 0.895 44 H 0.226 0.774 45 H 0.081 0.919 46 H 0.091 0.909 47 H 0.107 0.893 48 H 0.044 0.956 49 H 0.090 0.910 50 H 0.093 0.907 51 H 0.095 0.905 52 H 0.089 0.911 53 H 0.042 0.958 Dipole moment (debyes) X Y Z Total from point charges -7.802 -4.522 27.070 28.532 hybrid contribution 0.735 -0.857 -1.024 1.525 sum -7.067 -5.379 26.045 27.518 Atomic orbital electron populations 1.21689 0.94036 1.00969 1.03664 1.21555 0.98239 0.92712 1.02602 1.21741 0.97633 0.95201 0.89949 0.92180 1.20365 0.83969 0.80421 0.84342 1.90685 1.22567 1.42200 1.83831 1.47838 1.24584 1.48633 1.12740 1.21848 0.86660 0.94826 1.03757 1.22520 1.00026 0.93473 0.82232 1.23559 0.99333 0.99619 0.95156 1.22817 0.92795 0.95705 0.92639 1.60011 1.24502 1.41095 1.02895 1.21723 0.96413 1.01701 0.88478 1.19830 0.89903 0.84625 0.83074 1.90517 1.28272 1.54255 1.73864 1.41878 1.11398 1.62464 1.04283 1.19756 0.89971 1.45609 0.87554 0.87867 1.25273 0.98087 0.97307 0.97321 1.69624 1.22997 1.49362 1.12274 0.85797 0.81151 0.77801 0.79572 1.19229 1.20779 1.20726 1.24252 1.02512 0.98789 0.96560 1.61714 1.59326 1.02278 1.01314 1.22495 0.98761 1.00088 0.91355 1.22477 0.97467 0.89145 1.03685 0.93277 0.90904 0.92537 0.91196 0.90762 0.89489 0.92065 0.92070 0.86224 0.89202 0.90885 0.88196 0.82963 0.93738 0.89531 0.77443 0.91915 0.90913 0.89258 0.95628 0.90954 0.90714 0.90466 0.91066 0.95834 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 -1.25 9.27 37.16 0.34 -0.90 16 2 C -0.11 -0.80 5.13 -26.73 -0.14 -0.93 16 3 C 0.07 0.55 1.51 -68.86 -0.10 0.45 16 4 H 0.06 0.43 6.51 -51.93 -0.34 0.10 16 5 C 0.52 5.65 5.14 -10.98 -0.06 5.59 16 6 O -0.52 -7.37 14.34 5.56 0.08 -7.29 16 7 N -0.60 -5.75 3.09 -173.00 -0.53 -6.29 16 8 C 0.07 0.51 8.62 59.84 0.52 1.02 16 9 C 0.12 1.24 4.23 -67.12 -0.28 0.96 16 10 C -0.14 -1.47 7.37 -25.92 -0.19 -1.66 16 11 C 0.07 0.84 4.16 -66.90 -0.28 0.57 16 12 N -0.65 -10.07 6.24 -107.14 -0.67 -10.74 16 13 C 0.05 0.85 6.02 -4.98 -0.03 0.82 16 14 C 0.44 10.28 7.82 -10.99 -0.09 10.19 16 15 O -0.58 -15.70 15.78 5.55 0.09 -15.61 16 16 N -0.56 -14.21 5.29 -10.96 -0.06 -14.27 16 17 C -0.30 -8.32 9.68 -14.93 -0.14 -8.47 16 18 H 0.10 3.01 7.16 -52.49 -0.38 2.64 16 19 C 0.02 0.58 5.50 -17.46 -0.10 0.48 16 20 N -0.90 -24.45 13.05 55.50 0.72 -23.73 16 21 Si 0.93 20.96 29.55 -169.99 -5.02 15.94 16 22 H -0.27 -6.04 7.11 56.52 0.40 -5.64 16 23 H -0.28 -6.24 7.11 56.52 0.40 -5.84 16 24 H -0.28 -6.25 7.11 56.52 0.40 -5.85 16 25 C -0.18 -1.82 7.10 -25.92 -0.18 -2.01 16 26 N -0.52 -4.53 3.65 -244.59 -0.89 -5.42 16 27 C 0.02 0.13 8.95 60.06 0.54 0.66 16 28 C 0.02 0.17 9.17 60.06 0.55 0.72 16 29 H 0.05 0.35 8.14 -51.93 -0.42 -0.07 16 30 H 0.07 0.68 7.07 -51.93 -0.37 0.32 16 31 H 0.06 0.61 7.10 -51.93 -0.37 0.24 16 32 H 0.07 0.45 6.98 -51.93 -0.36 0.09 16 33 H 0.07 0.40 6.49 -51.93 -0.34 0.07 16 34 H 0.09 0.63 5.68 -51.92 -0.30 0.34 16 35 H 0.06 0.36 7.09 -51.93 -0.37 0.00 16 36 H 0.06 0.35 6.98 -51.93 -0.36 -0.01 16 37 H 0.12 1.38 7.18 -51.93 -0.37 1.01 16 38 H 0.09 0.99 7.15 -51.93 -0.37 0.62 16 39 H 0.07 0.79 8.14 -51.93 -0.42 0.36 16 40 H 0.10 1.12 7.88 -51.93 -0.41 0.71 16 41 H 0.35 5.48 7.92 -39.29 -0.31 5.17 16 42 H 0.04 0.69 8.14 -51.93 -0.42 0.27 16 43 H 0.09 1.39 8.13 -51.93 -0.42 0.97 16 44 H 0.39 9.45 7.90 -40.82 -0.32 9.13 16 45 H 0.27 6.94 8.31 -40.82 -0.34 6.60 16 46 H 0.07 0.73 8.14 -51.93 -0.42 0.30 16 47 H 0.09 0.87 6.03 -51.93 -0.31 0.55 16 48 H 0.03 0.14 8.14 -51.92 -0.42 -0.28 16 49 H 0.07 0.39 8.09 -51.93 -0.42 -0.03 16 50 H 0.07 0.40 6.00 -51.93 -0.31 0.09 16 51 H 0.08 0.83 6.59 -51.93 -0.34 0.49 16 52 H 0.07 0.52 8.04 -51.93 -0.42 0.10 16 53 H 0.02 0.18 8.12 -51.93 -0.42 -0.24 16 LS Contribution 411.07 15.07 6.19 6.19 Total: -1.00 -32.94 411.07 -8.59 -41.54 By element: Atomic # 1 Polarization: 21.04 SS G_CDS: -8.86 Total: 12.19 kcal Atomic # 6 Polarization: 7.14 SS G_CDS: 0.36 Total: 7.50 kcal Atomic # 7 Polarization: -59.02 SS G_CDS: -1.43 Total: -60.45 kcal Atomic # 8 Polarization: -23.07 SS G_CDS: 0.17 Total: -22.90 kcal Atomic # 14 Polarization: 20.96 SS G_CDS: -5.02 Total: 15.94 kcal Total LS contribution 6.19 Total: 6.19 kcal Total: -32.94 -8.59 -41.54 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. ZINC001508141935.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 10.715 kcal (2) G-P(sol) polarization free energy of solvation -32.945 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -22.230 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.592 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.536 kcal (6) G-S(sol) free energy of system = (1) + (5) -30.822 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.04 seconds