Wall clock time and date at job start Sat Apr 11 2020 06:13:12 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 N 1.46903 * 1 3 3 C 1.46904 * 110.99689 * 2 1 4 4 C 1.52996 * 109.46785 * 66.04859 * 3 2 1 5 5 C 1.53006 * 109.46610 * 179.97438 * 4 3 2 6 6 N 1.46507 * 109.46865 * 179.97438 * 5 4 3 7 7 C 1.46501 * 119.99714 * 269.99673 * 6 5 4 8 8 C 1.34772 * 119.99748 * 90.00311 * 6 5 4 9 9 O 1.21282 * 120.00239 * 359.97438 * 8 6 5 10 10 C 1.50698 * 119.99775 * 179.97438 * 8 6 5 11 11 H 1.09004 * 110.46136 * 42.40992 * 10 8 6 12 12 C 1.54381 * 110.41376 * 279.99816 * 10 8 6 13 13 C 1.54257 * 105.14978 * 217.42278 * 12 10 8 14 14 C 1.54377 * 105.06382 * 359.94367 * 13 12 10 15 15 N 1.48567 * 104.59159 * 23.85582 * 14 13 12 16 16 C 1.46900 * 110.99718 * 200.95714 * 15 14 13 17 17 C 1.46900 * 111.00014 * 236.04826 * 2 1 3 18 18 C 1.50706 * 109.47028 * 293.95014 * 17 2 1 19 19 O 1.21289 * 119.99672 * 0.02562 * 18 17 2 20 20 N 1.34776 * 120.00051 * 180.02562 * 18 17 2 21 21 C 1.37094 * 120.00170 * 180.02562 * 20 18 17 22 22 H 1.08006 * 119.99929 * 0.02562 * 21 20 18 23 23 C 1.38950 * 120.00247 * 179.97438 * 21 20 18 24 24 N 1.31415 * 119.99589 * 0.02562 * 23 21 20 25 25 Si 1.86796 * 119.99840 * 180.02562 * 23 21 20 26 26 H 1.48498 * 109.47520 * 90.00395 * 25 23 21 27 27 H 1.48512 * 109.46909 * 209.99825 * 25 23 21 28 28 H 1.48497 * 109.47260 * 329.99611 * 25 23 21 29 29 H 1.09000 * 109.47320 * 60.00286 * 1 2 3 30 30 H 1.08999 * 109.46685 * 179.97438 * 1 2 3 31 31 H 1.08997 * 109.47293 * 299.99430 * 1 2 3 32 32 H 1.08999 * 109.46911 * 306.04438 * 3 2 1 33 33 H 1.09005 * 109.46706 * 186.04638 * 3 2 1 34 34 H 1.08999 * 109.47740 * 60.00087 * 4 3 2 35 35 H 1.09000 * 109.47053 * 299.99010 * 4 3 2 36 36 H 1.08997 * 109.47375 * 59.99862 * 5 4 3 37 37 H 1.08997 * 109.47168 * 299.99967 * 5 4 3 38 38 H 1.08993 * 109.47159 * 270.00049 * 7 6 5 39 39 H 1.09001 * 109.47432 * 30.00665 * 7 6 5 40 40 H 1.09004 * 109.46372 * 150.00235 * 7 6 5 41 41 H 1.09002 * 110.32526 * 98.47097 * 12 10 8 42 42 H 1.08998 * 110.32190 * 336.36738 * 12 10 8 43 43 H 1.08995 * 110.32672 * 118.84838 * 13 12 10 44 44 H 1.09009 * 110.32136 * 241.05045 * 13 12 10 45 45 H 1.08999 * 110.41555 * 142.63458 * 14 13 12 46 46 H 1.09001 * 110.41672 * 265.07801 * 14 13 12 47 47 H 1.08996 * 109.47114 * 59.87964 * 16 15 14 48 48 H 1.09007 * 109.46598 * 179.87369 * 16 15 14 49 49 H 1.08998 * 109.47517 * 299.87570 * 16 15 14 50 50 H 1.08992 * 109.47305 * 53.95107 * 17 2 1 51 51 H 1.09000 * 109.46969 * 173.95451 * 17 2 1 52 52 H 0.97002 * 119.99552 * 0.02562 * 20 18 17 53 53 H 0.96999 * 119.99422 * 180.02562 * 24 23 21 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 7 1.4690 0.0000 0.0000 3 6 1.9954 1.3715 0.0000 4 6 1.6314 2.0574 1.3183 5 6 2.1802 3.4856 1.3185 6 7 1.8312 4.1427 2.5806 7 6 0.5746 4.8871 2.6958 8 6 2.6661 4.0623 3.6355 9 8 3.7061 3.4458 3.5402 10 6 2.3073 4.7386 4.9335 11 1 1.2533 4.5843 5.1650 12 6 2.6273 6.2472 4.8611 13 6 3.1522 6.6157 6.2641 14 6 3.1045 5.2992 7.0689 15 7 3.1607 4.2292 6.0398 16 6 2.6374 2.9624 6.5684 17 6 1.9955 -0.7659 -1.1376 18 6 1.6370 -2.2204 -0.9729 19 8 1.0048 -2.5831 -0.0034 20 7 2.0190 -3.1181 -1.9027 21 6 1.6924 -4.4412 -1.7532 22 1 1.1287 -4.7641 -0.8903 23 6 2.0858 -5.3666 -2.7121 24 7 2.7712 -4.9736 -3.7622 25 14 1.6402 -7.1692 -2.5085 26 1 0.3282 -7.4307 -3.1531 27 1 2.6825 -8.0120 -3.1480 28 1 1.5559 -7.4981 -1.0629 29 1 -0.3634 0.5138 -0.8900 30 1 -0.3633 -1.0277 -0.0005 31 1 -0.3634 0.5137 0.8900 32 1 1.5610 1.9273 -0.8309 33 1 3.0797 1.3444 -0.1083 34 1 2.0658 1.5015 2.1492 35 1 0.5471 2.0845 1.4265 36 1 1.7462 4.0418 0.4876 37 1 3.2645 3.4582 1.2104 38 1 0.7405 5.9261 2.4116 39 1 -0.1717 4.4446 2.0360 40 1 0.2202 4.8442 3.7257 41 1 1.7253 6.8151 4.6331 42 1 3.3931 6.4360 4.1088 43 1 4.1761 6.9838 6.2006 44 1 2.5077 7.3646 6.7247 45 1 3.9635 5.2303 7.7363 46 1 2.1756 5.2333 7.6354 47 1 1.6011 3.0982 6.8777 48 1 2.6881 2.1970 5.7940 49 1 3.2347 2.6520 7.4257 50 1 1.5611 -0.3872 -2.0627 51 1 3.0798 -0.6610 -1.1756 52 1 2.5249 -2.8280 -2.6778 53 1 3.0455 -5.6196 -4.4318 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 ZINC001717205900.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 06:13:12 Heat of formation + Delta-G solvation = -47.873022 kcal Electronic energy + Delta-G solvation = -29876.537758 eV Core-core repulsion = 25783.792320 eV Total energy + Delta-G solvation = -4092.745438 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 1.30 seconds Orbital eigenvalues (eV) -40.64830 -38.70784 -38.34595 -36.76916 -35.72163 -33.85164 -32.69828 -32.18401 -31.18843 -29.77613 -27.91327 -27.30145 -26.31098 -25.88750 -24.77591 -23.32612 -21.81315 -21.40876 -20.68484 -19.30238 -19.06820 -17.79469 -17.70603 -16.66123 -16.30786 -15.91960 -15.54468 -15.51593 -15.03628 -14.78250 -14.59080 -14.48483 -14.18462 -14.14287 -13.69575 -13.64055 -13.36924 -13.23243 -13.20512 -12.80619 -12.72245 -12.37130 -12.23494 -12.04084 -11.88921 -11.85250 -11.77811 -11.57761 -11.49334 -11.41938 -11.20096 -11.16025 -11.09969 -10.87819 -10.50788 -10.35894 -10.17853 -9.86700 -9.43610 -8.90886 -8.82293 -8.38453 -7.92873 -7.77837 -6.37618 -3.78146 2.43475 2.63786 3.20553 3.28897 3.35261 3.61820 3.95837 4.04538 4.09190 4.14160 4.29970 4.42214 4.47134 4.64789 4.79099 4.87804 4.96165 4.98309 5.04065 5.08677 5.11881 5.18029 5.20055 5.26107 5.28511 5.31096 5.32608 5.39851 5.43186 5.54141 5.58377 5.66364 5.67177 5.72032 5.77728 5.79065 5.99328 6.04376 6.11758 6.15490 6.32022 6.35151 6.41740 6.56618 6.60966 7.14009 7.35266 7.48036 7.59231 8.05337 8.11093 8.66843 9.22604 9.59414 10.11723 10.80267 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.022603 B = 0.001739 C = 0.001678 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1238.482972 B =16101.625445 C =16681.613903 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.022 3.978 2 N -0.519 5.519 3 C 0.059 3.941 4 C -0.128 4.128 5 C 0.118 3.882 6 N -0.619 5.619 7 C 0.077 3.923 8 C 0.521 3.479 9 O -0.508 6.508 10 C 0.042 3.958 11 H 0.074 0.926 12 C -0.111 4.111 13 C -0.123 4.123 14 C 0.031 3.969 15 N -0.492 5.492 16 C 0.014 3.986 17 C 0.046 3.954 18 C 0.445 3.555 19 O -0.577 6.577 20 N -0.566 5.566 21 C -0.298 4.298 22 H 0.103 0.897 23 C 0.021 3.979 24 N -0.903 5.903 25 Si 0.930 3.070 26 H -0.279 1.279 27 H -0.284 1.284 28 H -0.270 1.270 29 H 0.012 0.988 30 H 0.094 0.906 31 H 0.059 0.941 32 H 0.029 0.971 33 H 0.074 0.926 34 H 0.076 0.924 35 H 0.063 0.937 36 H 0.075 0.925 37 H 0.085 0.915 38 H 0.057 0.943 39 H 0.074 0.926 40 H 0.069 0.931 41 H 0.076 0.924 42 H 0.076 0.924 43 H 0.076 0.924 44 H 0.072 0.928 45 H 0.086 0.914 46 H 0.046 0.954 47 H 0.027 0.973 48 H 0.075 0.925 49 H 0.074 0.926 50 H 0.046 0.954 51 H 0.088 0.912 52 H 0.392 0.608 53 H 0.271 0.729 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.378 27.647 14.854 31.566 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 -0.125 4.125 2 N -0.243 5.243 3 C -0.070 4.070 4 C -0.167 4.167 5 C -0.005 4.005 6 N -0.354 5.354 7 C -0.067 4.067 8 C 0.307 3.693 9 O -0.381 6.381 10 C -0.069 4.069 11 H 0.092 0.908 12 C -0.149 4.149 13 C -0.161 4.161 14 C -0.096 4.096 15 N -0.216 5.216 16 C -0.135 4.135 17 C -0.085 4.085 18 C 0.230 3.770 19 O -0.461 6.461 20 N -0.202 5.202 21 C -0.427 4.427 22 H 0.121 0.879 23 C -0.180 4.180 24 N -0.544 5.544 25 Si 0.757 3.243 26 H -0.205 1.205 27 H -0.209 1.209 28 H -0.194 1.194 29 H 0.030 0.970 30 H 0.113 0.887 31 H 0.077 0.923 32 H 0.047 0.953 33 H 0.093 0.907 34 H 0.094 0.906 35 H 0.081 0.919 36 H 0.093 0.907 37 H 0.104 0.896 38 H 0.075 0.925 39 H 0.093 0.907 40 H 0.087 0.913 41 H 0.095 0.905 42 H 0.095 0.905 43 H 0.095 0.905 44 H 0.091 0.909 45 H 0.105 0.895 46 H 0.064 0.936 47 H 0.046 0.954 48 H 0.093 0.907 49 H 0.093 0.907 50 H 0.064 0.936 51 H 0.106 0.894 52 H 0.225 0.775 53 H 0.081 0.919 Dipole moment (debyes) X Y Z Total from point charges -2.442 26.585 15.563 30.902 hybrid contribution -1.146 -0.258 -1.008 1.548 sum -3.589 26.328 14.556 30.297 Atomic orbital electron populations 1.22549 0.87009 1.04299 0.98683 1.61524 1.08536 1.11474 1.42723 1.22033 1.00340 0.88796 0.95832 1.21908 1.01127 0.94700 0.98992 1.21457 1.01964 0.92790 0.84292 1.47860 1.21110 1.53576 1.12859 1.21841 0.85880 0.96168 1.02786 1.20250 0.83825 0.80614 0.84592 1.90737 1.24041 1.40676 1.82694 1.22723 0.96724 0.95741 0.91758 0.90811 1.22219 1.01874 0.92198 0.98642 1.22290 1.02299 0.96948 0.94543 1.23169 1.01295 0.90758 0.94420 1.65089 1.47736 1.02680 1.06069 1.22556 0.97491 0.92231 1.01205 1.21863 1.00722 0.94122 0.91827 1.19761 0.85341 0.86696 0.85164 1.90478 1.43885 1.80176 1.31611 1.41869 1.49483 1.07356 1.21530 1.19697 1.32787 0.82339 1.07899 0.87948 1.25256 0.96877 1.00532 0.95357 1.69618 1.38128 1.35722 1.10939 0.85859 0.77956 0.81813 0.78660 1.20489 1.20946 1.19431 0.96954 0.88732 0.92261 0.95257 0.90731 0.90553 0.91875 0.90677 0.89642 0.92466 0.90747 0.91275 0.90489 0.90493 0.90529 0.90897 0.89521 0.93610 0.95398 0.90664 0.90708 0.93559 0.89388 0.77501 0.91935 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 0.02 0.38 8.96 60.07 0.54 0.91 16 2 N -0.52 -9.13 4.50 -244.37 -1.10 -10.23 16 3 C 0.06 0.79 4.96 -3.82 -0.02 0.77 16 4 C -0.13 -1.55 5.46 -26.73 -0.15 -1.70 16 5 C 0.12 1.17 5.41 -4.04 -0.02 1.15 16 6 N -0.62 -5.76 2.87 -181.57 -0.52 -6.28 16 7 C 0.08 0.42 10.06 59.85 0.60 1.02 16 8 C 0.52 6.05 6.64 -10.99 -0.07 5.98 16 9 O -0.51 -8.23 16.15 5.56 0.09 -8.14 16 10 C 0.04 0.37 1.84 -67.13 -0.12 0.24 16 11 H 0.07 0.53 6.26 -51.93 -0.32 0.20 16 12 C -0.11 -0.71 6.29 -25.35 -0.16 -0.87 16 13 C -0.12 -0.69 7.00 -25.35 -0.18 -0.87 16 14 C 0.03 0.22 6.50 -2.18 -0.01 0.20 16 15 N -0.49 -4.90 4.92 -231.58 -1.14 -6.04 16 16 C 0.01 0.13 9.42 60.06 0.57 0.69 16 17 C 0.05 0.86 5.45 -4.97 -0.03 0.84 16 18 C 0.44 10.84 7.48 -10.98 -0.08 10.76 16 19 O -0.58 -15.97 13.91 5.55 0.08 -15.89 16 20 N -0.57 -14.69 5.29 -10.96 -0.06 -14.75 16 21 C -0.30 -8.45 9.68 -14.93 -0.14 -8.60 16 22 H 0.10 3.05 7.16 -52.48 -0.38 2.67 16 23 C 0.02 0.58 5.50 -17.47 -0.10 0.48 16 24 N -0.90 -24.94 13.05 55.50 0.72 -24.22 16 25 Si 0.93 21.41 29.55 -169.99 -5.02 16.39 16 26 H -0.28 -6.32 7.11 56.52 0.40 -5.92 16 27 H -0.28 -6.40 7.11 56.52 0.40 -6.00 16 28 H -0.27 -6.22 7.11 56.52 0.40 -5.82 16 29 H 0.01 0.18 8.14 -51.93 -0.42 -0.24 16 30 H 0.09 1.93 5.82 -51.93 -0.30 1.63 16 31 H 0.06 0.87 6.47 -51.93 -0.34 0.54 16 32 H 0.03 0.35 8.12 -51.93 -0.42 -0.07 16 33 H 0.07 0.99 7.93 -51.93 -0.41 0.58 16 34 H 0.08 1.16 8.14 -51.93 -0.42 0.74 16 35 H 0.06 0.73 6.55 -51.93 -0.34 0.39 16 36 H 0.07 0.58 8.07 -51.93 -0.42 0.16 16 37 H 0.09 0.99 7.42 -51.93 -0.39 0.60 16 38 H 0.06 0.23 8.14 -51.93 -0.42 -0.20 16 39 H 0.07 0.36 8.07 -51.93 -0.42 -0.06 16 40 H 0.07 0.30 6.02 -51.93 -0.31 -0.01 16 41 H 0.08 0.32 8.14 -51.93 -0.42 -0.11 16 42 H 0.08 0.59 7.85 -51.93 -0.41 0.19 16 43 H 0.08 0.44 8.14 -51.93 -0.42 0.02 16 44 H 0.07 0.28 8.14 -51.92 -0.42 -0.15 16 45 H 0.09 0.56 8.14 -51.93 -0.42 0.14 16 46 H 0.05 0.26 7.97 -51.93 -0.41 -0.15 16 47 H 0.03 0.22 7.98 -51.93 -0.41 -0.20 16 48 H 0.07 0.87 8.05 -51.93 -0.42 0.45 16 49 H 0.07 0.62 8.14 -51.93 -0.42 0.20 16 50 H 0.05 0.79 8.12 -51.93 -0.42 0.37 16 51 H 0.09 1.52 7.93 -51.93 -0.41 1.10 16 52 H 0.39 9.73 7.90 -40.82 -0.32 9.41 16 53 H 0.27 7.08 8.31 -40.82 -0.34 6.74 16 LS Contribution 419.33 15.07 6.32 6.32 Total: -1.00 -35.24 419.33 -9.39 -44.62 By element: Atomic # 1 Polarization: 16.58 SS G_CDS: -9.38 Total: 7.20 kcal Atomic # 6 Polarization: 10.39 SS G_CDS: 0.62 Total: 11.01 kcal Atomic # 7 Polarization: -59.42 SS G_CDS: -2.10 Total: -61.52 kcal Atomic # 8 Polarization: -24.20 SS G_CDS: 0.17 Total: -24.03 kcal Atomic # 14 Polarization: 21.41 SS G_CDS: -5.02 Total: 16.39 kcal Total LS contribution 6.32 Total: 6.32 kcal Total: -35.24 -9.39 -44.62 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. ZINC001717205900.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 -3.248 kcal (2) G-P(sol) polarization free energy of solvation -35.239 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -38.487 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.386 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.625 kcal (6) G-S(sol) free energy of system = (1) + (5) -47.873 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.30 seconds