Wall clock time and date at job start Tue Mar 31 2020 19:27:57 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 1.53004 * 109.47097 * 2 1 4 4 H 1.09002 * 109.47537 * 54.97982 * 3 2 1 5 5 O 1.42895 * 109.48132 * 294.94460 * 3 2 1 6 6 C 1.42908 * 114.09611 * 178.85937 * 5 3 2 7 7 C 1.53086 * 109.41518 * 61.15553 * 6 5 3 8 8 C 1.53183 * 109.21786 * 302.42528 * 7 6 5 9 9 C 1.53093 * 109.48062 * 174.99804 * 3 2 1 10 10 H 1.08997 * 109.52120 * 57.62456 * 9 3 2 11 11 C 1.50702 * 109.52055 * 297.50088 * 9 3 2 12 12 O 1.21280 * 120.00073 * 325.28403 * 11 9 3 13 13 N 1.34784 * 119.99492 * 145.28706 * 11 9 3 14 14 C 1.47662 * 134.45190 * 174.97852 * 13 11 9 15 15 C 1.53504 * 85.97817 * 204.33507 * 14 13 11 16 16 C 1.47664 * 134.46190 * 355.00686 * 13 11 9 17 17 C 1.52668 * 113.57351 * 91.01568 * 15 14 13 18 18 C 1.53342 * 109.10860 * 73.81622 * 17 15 14 19 19 N 1.46884 * 108.76390 * 52.40740 * 18 17 15 20 20 C 1.36939 * 120.46680 * 124.46863 * 19 18 17 21 21 H 1.07993 * 120.00364 * 333.75220 * 20 19 18 22 22 C 1.38811 * 119.99645 * 153.74687 * 20 19 18 23 23 N 1.31625 * 120.00031 * 159.74400 * 22 20 19 24 24 Si 1.86801 * 120.00257 * 339.45904 * 22 20 19 25 25 H 1.48509 * 109.46695 * 92.90459 * 24 22 20 26 26 H 1.48497 * 109.47333 * 212.90276 * 24 22 20 27 27 H 1.48497 * 109.47228 * 332.90552 * 24 22 20 28 28 C 1.46877 * 119.06724 * 304.74483 * 19 18 17 29 29 C 1.52676 * 113.56609 * 222.23624 * 15 14 13 30 30 H 1.09004 * 109.47308 * 59.99707 * 1 2 3 31 31 H 1.09000 * 109.47108 * 179.97438 * 1 2 3 32 32 H 1.09000 * 109.47297 * 300.00253 * 1 2 3 33 33 H 1.09000 * 109.46989 * 240.00463 * 2 1 3 34 34 H 1.08999 * 109.47046 * 119.99896 * 2 1 3 35 35 H 1.09000 * 109.47658 * 181.13849 * 6 5 3 36 36 H 1.08998 * 109.48093 * 301.16172 * 6 5 3 37 37 H 1.09005 * 109.52449 * 62.30225 * 7 6 5 38 38 H 1.09005 * 109.52354 * 182.42030 * 7 6 5 39 39 H 1.08999 * 109.49146 * 297.05190 * 8 7 6 40 40 H 1.08991 * 109.60347 * 176.78140 * 8 7 6 41 41 H 1.09007 * 113.79110 * 90.07050 * 14 13 11 42 42 H 1.08997 * 113.90099 * 318.61997 * 14 13 11 43 43 H 1.09008 * 113.78915 * 41.39430 * 16 13 11 44 44 H 1.08996 * 113.79151 * 269.93745 * 16 13 11 45 45 H 1.08993 * 109.53437 * 313.93087 * 17 15 14 46 46 H 1.09001 * 109.59495 * 193.74112 * 17 15 14 47 47 H 1.08995 * 109.58971 * 292.62361 * 18 17 15 48 48 H 1.09001 * 109.70629 * 172.25766 * 18 17 15 49 49 H 0.96994 * 120.00467 * 180.02562 * 23 22 20 50 50 H 1.08997 * 109.59403 * 175.04196 * 28 19 18 51 51 H 1.09006 * 109.59161 * 295.47804 * 28 19 18 52 52 H 1.09003 * 109.52744 * 46.07831 * 29 15 14 53 53 H 1.09004 * 109.53340 * 166.22309 * 29 15 14 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 1.4425 0.0000 4 1 1.6051 1.9817 0.8416 5 8 1.6632 2.0812 -1.2215 6 6 2.0700 3.4480 -1.3149 7 6 3.5968 3.5306 -1.2419 8 6 4.0747 2.8880 0.0640 9 6 3.5657 1.4446 0.1258 10 1 3.9995 0.8700 -0.6926 11 6 3.9633 0.8263 1.4414 12 8 3.2691 0.9891 2.4224 13 7 5.0906 0.0925 1.5277 14 6 5.8163 -0.5619 2.6347 15 6 7.0611 -0.4452 1.7441 16 6 6.0951 -0.3787 0.5533 17 6 7.8506 0.8429 1.9640 18 6 8.6037 0.7488 3.2964 19 7 9.3812 -0.4974 3.3127 20 6 10.7320 -0.4701 3.5360 21 1 11.3028 0.4122 3.2871 22 6 11.3675 -1.5767 4.0824 23 7 12.6670 -1.7276 3.9373 24 14 10.3798 -2.8476 5.0303 25 1 9.9565 -3.9330 4.1094 26 1 11.2184 -3.4178 6.1151 27 1 9.1793 -2.2024 5.6200 28 6 8.6904 -1.7725 3.0800 29 6 7.9369 -1.6958 1.7522 30 1 -0.3634 0.5139 -0.8900 31 1 -0.3633 -1.0277 -0.0005 32 1 -0.3634 0.5139 0.8899 33 1 1.8933 -0.5138 -0.8900 34 1 1.8933 -0.5138 0.8900 35 1 1.7282 3.8650 -2.2622 36 1 1.6354 4.0137 -0.4908 37 1 4.0313 2.9992 -2.0886 38 1 3.9069 4.5753 -1.2697 39 1 3.6814 3.4500 0.9111 40 1 5.1642 2.8921 0.0963 41 1 5.5026 -1.5894 2.8195 42 1 5.8682 0.0371 3.5439 43 1 6.3678 0.3677 -0.1929 44 1 5.8642 -1.3515 0.1194 45 1 7.1653 1.6900 1.9919 46 1 8.5639 0.9777 1.1509 47 1 7.8900 0.7450 4.1202 48 1 9.2763 1.6004 3.3994 49 1 13.1110 -2.5009 4.3188 50 1 9.4200 -2.5811 3.0380 51 1 7.9827 -1.9576 3.8882 52 1 7.3104 -2.5801 1.6354 53 1 8.6523 -1.6451 0.9314 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 ZINC001050541482.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 19:27:57 Heat of formation + Delta-G solvation = -36.214074 kcal Electronic energy + Delta-G solvation = -31109.942487 eV Core-core repulsion = 27175.865919 eV Total energy + Delta-G solvation = -3934.076567 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.08 seconds Orbital eigenvalues (eV) -41.09470 -39.95824 -38.11865 -36.19439 -34.31858 -33.92242 -32.49780 -31.00031 -30.58550 -30.17943 -27.36303 -26.49885 -25.70649 -24.42295 -23.79967 -22.97305 -21.62052 -21.21364 -20.81405 -19.21402 -18.19073 -17.44212 -16.81936 -16.51527 -16.24277 -15.76827 -15.55059 -15.26570 -14.85599 -14.64958 -14.26478 -14.09759 -13.92363 -13.83359 -13.61996 -13.42814 -13.29475 -13.01096 -12.90098 -12.41065 -12.38650 -12.19693 -12.00976 -11.91103 -11.78682 -11.68423 -11.54032 -11.46250 -11.20994 -11.06584 -10.86821 -10.62697 -10.53760 -10.50700 -10.11293 -10.01368 -9.95322 -9.77144 -9.53650 -9.35702 -8.71637 -8.63326 -7.02227 -5.97213 -3.32855 2.51756 2.72416 3.27976 3.45980 3.46862 3.48923 4.17308 4.27377 4.40686 4.47887 4.49665 4.55042 4.68631 4.83956 4.87133 4.88047 4.92430 5.04071 5.09816 5.11832 5.18137 5.29317 5.32546 5.34144 5.39778 5.43580 5.44621 5.48349 5.54849 5.60780 5.66979 5.70569 5.74806 5.77810 5.81226 5.85521 5.90828 5.96003 5.98671 6.09041 6.11452 6.24215 6.29518 6.37529 6.56021 6.60922 6.62561 6.86979 6.91419 7.67542 7.92728 8.08479 8.29762 8.91302 9.69398 10.05880 11.18737 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.023624 B = 0.002745 C = 0.002585 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1184.937066 B =10196.559820 C =10827.222734 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 -0.117 4.117 3 C 0.109 3.891 4 H 0.072 0.928 5 O -0.374 6.374 6 C 0.058 3.942 7 C -0.153 4.153 8 C -0.110 4.110 9 C -0.131 4.131 10 H 0.094 0.906 11 C 0.543 3.457 12 O -0.545 6.545 13 N -0.637 5.637 14 C 0.114 3.886 15 C -0.076 4.076 16 C 0.104 3.896 17 C -0.108 4.108 18 C 0.150 3.850 19 N -0.605 5.605 20 C -0.260 4.260 21 H 0.086 0.914 22 C 0.022 3.978 23 N -0.909 5.909 24 Si 0.884 3.116 25 H -0.289 1.289 26 H -0.304 1.304 27 H -0.270 1.270 28 C 0.126 3.874 29 C -0.120 4.120 30 H 0.061 0.939 31 H 0.053 0.947 32 H 0.053 0.947 33 H 0.068 0.932 34 H 0.076 0.924 35 H 0.095 0.905 36 H 0.051 0.949 37 H 0.074 0.926 38 H 0.078 0.922 39 H 0.072 0.928 40 H 0.075 0.925 41 H 0.082 0.918 42 H 0.082 0.918 43 H 0.080 0.920 44 H 0.086 0.914 45 H 0.055 0.945 46 H 0.069 0.931 47 H 0.022 0.978 48 H 0.065 0.935 49 H 0.263 0.737 50 H 0.074 0.926 51 H 0.025 0.975 52 H 0.058 0.942 53 H 0.072 0.928 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -20.864 6.559 -12.290 25.087 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 -0.203 4.203 2 C -0.155 4.155 3 C 0.051 3.949 4 H 0.090 0.910 5 O -0.293 6.293 6 C -0.018 4.018 7 C -0.191 4.191 8 C -0.148 4.148 9 C -0.153 4.153 10 H 0.113 0.887 11 C 0.333 3.667 12 O -0.423 6.423 13 N -0.372 5.372 14 C -0.007 4.007 15 C -0.077 4.077 16 C -0.019 4.019 17 C -0.148 4.148 18 C 0.024 3.976 19 N -0.328 5.328 20 C -0.388 4.388 21 H 0.103 0.897 22 C -0.177 4.177 23 N -0.552 5.552 24 Si 0.715 3.285 25 H -0.217 1.217 26 H -0.233 1.233 27 H -0.195 1.195 28 C 0.000 4.000 29 C -0.160 4.160 30 H 0.080 0.920 31 H 0.072 0.928 32 H 0.072 0.928 33 H 0.087 0.913 34 H 0.095 0.905 35 H 0.113 0.887 36 H 0.069 0.931 37 H 0.092 0.908 38 H 0.097 0.903 39 H 0.090 0.910 40 H 0.093 0.907 41 H 0.101 0.899 42 H 0.101 0.899 43 H 0.098 0.902 44 H 0.104 0.896 45 H 0.074 0.926 46 H 0.088 0.912 47 H 0.040 0.960 48 H 0.083 0.917 49 H 0.072 0.928 50 H 0.092 0.908 51 H 0.043 0.957 52 H 0.077 0.923 53 H 0.091 0.909 Dipole moment (debyes) X Y Z Total from point charges -21.360 6.603 -11.859 25.308 hybrid contribution -0.163 -0.743 0.680 1.020 sum -21.523 5.860 -11.179 24.951 Atomic orbital electron populations 1.21675 0.94903 1.01555 1.02206 1.21573 0.97178 0.94052 1.02658 1.21934 0.90746 0.94810 0.87410 0.91006 1.87936 1.78215 1.24636 1.38515 1.22599 0.93781 0.83266 1.02182 1.22188 0.96986 1.01840 0.98067 1.21512 1.01621 0.93149 0.98509 1.21902 0.98735 0.98292 0.96381 0.88731 1.20009 0.78553 0.78154 0.90024 1.90697 1.51028 1.61655 1.38885 1.50108 1.23544 1.50981 1.12581 1.23293 0.87642 0.97485 0.92318 1.21982 0.93383 0.98272 0.94047 1.23450 0.85115 0.99384 0.93965 1.21755 0.98100 0.93831 1.01075 1.20895 0.93750 0.89862 0.93065 1.44312 1.05338 1.00345 1.82820 1.18932 0.80927 1.02919 1.36016 0.89661 1.25254 0.95180 0.98121 0.99131 1.69826 1.08801 1.29854 1.46738 0.86960 0.79869 0.81451 0.80247 1.21672 1.23267 1.19538 1.21246 0.95249 0.90109 0.93358 1.21883 0.98249 0.94539 1.01334 0.91991 0.92759 0.92780 0.91294 0.90517 0.88686 0.93063 0.90756 0.90298 0.90972 0.90655 0.89944 0.89918 0.90151 0.89591 0.92612 0.91197 0.95963 0.91652 0.92764 0.90761 0.95683 0.92317 0.90894 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -1.35 9.81 37.16 0.36 -0.98 16 2 C -0.12 -1.22 5.50 -26.73 -0.15 -1.36 16 3 C 0.11 1.18 1.86 -26.68 -0.05 1.13 16 4 H 0.07 0.87 7.77 -51.93 -0.40 0.47 16 5 O -0.37 -3.83 9.94 -35.23 -0.35 -4.18 16 6 C 0.06 0.45 6.84 37.20 0.25 0.71 16 7 C -0.15 -1.12 6.13 -26.59 -0.16 -1.28 16 8 C -0.11 -1.03 5.30 -26.54 -0.14 -1.17 16 9 C -0.13 -1.40 2.12 -91.63 -0.19 -1.59 16 10 H 0.09 0.93 7.67 -51.93 -0.40 0.53 16 11 C 0.54 7.36 5.98 -10.98 -0.07 7.30 16 12 O -0.54 -9.28 16.61 5.56 0.09 -9.18 16 13 N -0.64 -8.17 3.44 -180.26 -0.62 -8.79 16 14 C 0.11 1.59 7.63 -3.15 -0.02 1.57 16 15 C -0.08 -1.04 0.77 -154.43 -0.12 -1.15 16 16 C 0.10 1.12 7.41 -3.17 -0.02 1.10 16 17 C -0.11 -1.62 5.22 -26.72 -0.14 -1.75 16 18 C 0.15 2.80 6.38 -3.66 -0.02 2.77 16 19 N -0.60 -13.60 2.76 -172.51 -0.48 -14.07 16 20 C -0.26 -7.02 10.03 -15.06 -0.15 -7.17 16 21 H 0.09 2.47 8.05 -52.49 -0.42 2.04 16 22 C 0.02 0.62 5.25 -17.43 -0.09 0.53 16 23 N -0.91 -27.38 13.97 55.49 0.78 -26.60 16 24 Si 0.88 21.90 24.34 -169.99 -4.14 17.77 16 25 H -0.29 -6.83 6.59 56.52 0.37 -6.46 16 26 H -0.30 -7.76 7.11 56.52 0.40 -7.36 16 27 H -0.27 -6.59 6.63 56.52 0.37 -6.22 16 28 C 0.13 2.55 4.05 -3.91 -0.02 2.54 16 29 C -0.12 -1.86 5.24 -26.97 -0.14 -2.00 16 30 H 0.06 0.56 7.83 -51.93 -0.41 0.16 16 31 H 0.05 0.44 8.14 -51.93 -0.42 0.02 16 32 H 0.05 0.51 8.14 -51.93 -0.42 0.08 16 33 H 0.07 0.67 8.14 -51.93 -0.42 0.25 16 34 H 0.08 0.90 6.89 -51.93 -0.36 0.54 16 35 H 0.10 0.57 8.14 -51.93 -0.42 0.15 16 36 H 0.05 0.38 8.14 -51.93 -0.42 -0.04 16 37 H 0.07 0.54 8.14 -51.93 -0.42 0.11 16 38 H 0.08 0.47 8.14 -51.93 -0.42 0.04 16 39 H 0.07 0.74 8.14 -51.93 -0.42 0.31 16 40 H 0.07 0.69 8.14 -51.93 -0.42 0.27 16 41 H 0.08 1.08 8.07 -51.92 -0.42 0.66 16 42 H 0.08 1.26 7.41 -51.93 -0.38 0.88 16 43 H 0.08 0.77 8.09 -51.92 -0.42 0.35 16 44 H 0.09 0.81 8.09 -51.93 -0.42 0.39 16 45 H 0.06 0.77 8.01 -51.93 -0.42 0.35 16 46 H 0.07 1.06 8.14 -51.93 -0.42 0.64 16 47 H 0.02 0.41 7.49 -51.93 -0.39 0.02 16 48 H 0.06 1.23 7.92 -51.93 -0.41 0.82 16 49 H 0.26 7.52 8.31 -40.82 -0.34 7.19 16 50 H 0.07 1.68 4.18 -51.93 -0.22 1.46 16 51 H 0.03 0.51 7.13 -51.93 -0.37 0.14 16 52 H 0.06 0.77 8.12 -51.93 -0.42 0.35 16 53 H 0.07 1.17 8.14 -51.93 -0.42 0.74 16 LS Contribution 397.51 15.07 5.99 5.99 Total: -1.00 -31.71 397.51 -9.30 -41.01 By element: Atomic # 1 Polarization: 8.60 SS G_CDS: -9.70 Total: -1.10 kcal Atomic # 6 Polarization: 0.04 SS G_CDS: -0.87 Total: -0.83 kcal Atomic # 7 Polarization: -49.15 SS G_CDS: -0.32 Total: -49.47 kcal Atomic # 8 Polarization: -13.11 SS G_CDS: -0.26 Total: -13.36 kcal Atomic # 14 Polarization: 21.90 SS G_CDS: -4.14 Total: 17.77 kcal Total LS contribution 5.99 Total: 5.99 kcal Total: -31.71 -9.30 -41.01 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. ZINC001050541482.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 4.795 kcal (2) G-P(sol) polarization free energy of solvation -31.712 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -26.917 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.297 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.009 kcal (6) G-S(sol) free energy of system = (1) + (5) -36.214 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.08 seconds