Wall clock time and date at job start Tue Mar 31 2020 23:41:31 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 1.53005 * 1 3 3 H 1.08995 * 109.70163 * 2 1 4 4 C 1.53196 * 109.58300 * 120.35438 * 2 1 3 5 5 C 1.53043 * 109.31173 * 174.42133 * 4 2 1 6 6 H 1.08996 * 109.46077 * 178.62665 * 5 4 2 7 7 N 1.46502 * 109.45892 * 58.65280 * 5 4 2 8 8 C 1.34779 * 119.99958 * 154.97558 * 7 5 4 9 9 O 1.21280 * 119.99697 * 0.02562 * 8 7 5 10 10 C 1.50702 * 120.00133 * 179.97438 * 8 7 5 11 11 C 1.52994 * 109.47103 * 179.97438 * 10 8 7 12 12 O 1.42908 * 109.46941 * 179.97438 * 11 10 8 13 13 C 1.42898 * 113.99887 * 179.97438 * 12 11 10 14 14 C 1.53172 * 109.54603 * 210.00547 * 13 12 11 15 15 C 1.53087 * 109.16502 * 183.06798 * 14 13 12 16 16 O 1.42897 * 109.41822 * 57.60450 * 15 14 13 17 17 C 1.42901 * 114.10000 * 298.84535 * 16 15 14 18 18 C 1.53093 * 109.41460 * 61.15547 * 17 16 15 19 19 C 1.53042 * 109.52560 * 298.64467 * 5 4 2 20 20 C 1.53154 * 109.33154 * 61.36805 * 19 5 4 21 21 N 1.46926 * 108.77031 * 305.35626 * 20 19 5 22 22 C 1.36935 * 120.63298 * 233.58636 * 21 20 19 23 23 H 1.08001 * 119.99630 * 150.18027 * 22 21 20 24 24 C 1.38810 * 120.00085 * 330.17941 * 22 21 20 25 25 N 1.31619 * 120.00246 * 344.49341 * 24 22 21 26 26 Si 1.86798 * 120.00072 * 164.48991 * 24 22 21 27 27 H 1.48505 * 109.47278 * 60.00052 * 26 24 22 28 28 H 1.48501 * 109.47220 * 180.02562 * 26 24 22 29 29 H 1.48504 * 109.47274 * 300.00366 * 26 24 22 30 30 H 1.09002 * 109.46860 * 299.64994 * 1 2 3 31 31 H 1.08999 * 109.46936 * 59.64476 * 1 2 3 32 32 H 1.09002 * 109.47037 * 179.64846 * 1 2 3 33 33 H 1.08999 * 109.50051 * 54.47029 * 4 2 1 34 34 H 1.08998 * 109.52174 * 294.38468 * 4 2 1 35 35 H 0.97005 * 120.00368 * 334.97114 * 7 5 4 36 36 H 1.09000 * 109.46864 * 59.99825 * 10 8 7 37 37 H 1.08999 * 109.46965 * 300.00391 * 10 8 7 38 38 H 1.09000 * 109.47158 * 60.00306 * 11 10 8 39 39 H 1.08999 * 109.47775 * 300.00195 * 11 10 8 40 40 H 1.09001 * 109.54485 * 330.18216 * 13 12 11 41 41 H 1.09002 * 109.52448 * 63.15408 * 14 13 12 42 42 H 1.09000 * 109.57091 * 302.99976 * 14 13 12 43 43 H 1.09002 * 109.47730 * 297.62002 * 15 14 13 44 44 H 1.09009 * 109.47915 * 177.59062 * 15 14 13 45 45 H 1.09000 * 109.48367 * 181.14135 * 17 16 15 46 46 H 1.09001 * 109.47557 * 301.17291 * 17 16 15 47 47 H 1.09000 * 109.51773 * 182.48887 * 18 17 16 48 48 H 1.08999 * 109.57503 * 62.32840 * 18 17 16 49 49 H 1.09005 * 109.49803 * 181.30890 * 19 5 4 50 50 H 1.09003 * 109.49236 * 301.40125 * 19 5 4 51 51 H 1.09005 * 109.59173 * 185.57006 * 20 19 5 52 52 H 1.09000 * 109.70952 * 65.21086 * 20 19 5 53 53 H 0.96996 * 120.00421 * 179.97438 * 25 24 22 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 1 1.8975 1.0261 0.0000 4 6 2.0435 -0.7294 1.2455 5 6 3.5675 -0.8480 1.1703 6 1 3.9377 -1.3450 2.0669 7 7 4.1571 0.4897 1.0750 8 6 5.4210 0.7004 1.4928 9 8 6.0704 -0.2176 1.9472 10 6 6.0277 2.0764 1.3943 11 6 7.4595 2.0421 1.9324 12 8 8.0350 3.3468 1.8384 13 6 9.3788 3.4252 2.3180 14 6 9.6434 4.8277 2.8742 15 6 11.1062 4.9258 3.3148 16 8 11.9574 4.6305 2.2057 17 6 11.7877 3.3150 1.6739 18 6 10.3522 3.1522 1.1672 19 6 3.9566 -1.6657 -0.0636 20 6 3.4651 -0.9471 -1.3236 21 7 2.0226 -0.6997 -1.1944 22 6 1.1537 -1.1128 -2.1689 23 1 0.1397 -1.3797 -1.9104 24 6 1.5764 -1.1885 -3.4889 25 7 2.6872 -0.5878 -3.8598 26 14 0.5687 -2.1431 -4.7390 27 1 -0.7918 -1.5549 -4.8311 28 1 1.2302 -2.0717 -6.0666 29 1 0.4666 -3.5620 -4.3130 30 1 -0.3633 0.5084 0.8931 31 1 -0.3633 0.5193 -0.8868 32 1 -0.3633 -1.0277 -0.0063 33 1 1.6029 -1.7253 1.2914 34 1 1.7660 -0.1672 2.1371 35 1 3.6378 1.2239 0.7112 36 1 5.4356 2.7775 1.9825 37 1 6.0383 2.3950 0.3520 38 1 8.0519 1.3410 1.3445 39 1 7.4485 1.7237 2.9747 40 1 9.5287 2.6865 3.1054 41 1 8.9923 5.0093 3.7293 42 1 9.4453 5.5703 2.1013 43 1 11.2929 4.2114 4.1167 44 1 11.3114 5.9351 3.6719 45 1 12.4838 3.1638 0.8489 46 1 11.9834 2.5796 2.4543 47 1 10.2082 2.1355 0.8017 48 1 10.1679 3.8596 0.3587 49 1 5.0409 -1.7696 -0.1040 50 1 3.4980 -2.6528 -0.0052 51 1 3.6518 -1.5720 -2.1970 52 1 3.9901 0.0017 -1.4342 53 1 2.9828 -0.6410 -4.7821 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 ZINC001274652313.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 23:41:31 Heat of formation + Delta-G solvation = -122.867669 kcal Electronic energy + Delta-G solvation = -30568.144682 eV Core-core repulsion = 26439.854481 eV Total energy + Delta-G solvation = -4128.290201 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.21 seconds Orbital eigenvalues (eV) -40.04239 -39.72688 -37.98737 -37.41524 -34.31503 -33.23604 -32.37677 -31.63399 -31.49936 -30.66333 -29.47450 -26.43376 -25.20014 -24.81073 -24.05671 -23.49615 -22.02279 -20.88066 -20.65749 -20.28591 -18.65972 -17.64905 -16.66872 -16.47546 -16.45850 -16.15026 -15.86224 -15.40808 -15.25177 -15.08393 -14.78057 -14.33327 -14.10119 -13.83074 -13.73990 -13.60352 -13.32573 -13.12420 -12.89652 -12.68512 -12.48557 -12.07156 -11.94363 -11.75841 -11.68464 -11.44857 -11.30718 -11.22467 -11.04514 -11.01432 -10.71630 -10.71196 -10.64830 -10.44158 -10.17693 -10.11000 -10.05470 -9.71313 -9.67463 -9.61734 -9.32393 -8.63033 -8.47559 -6.65216 -5.80094 -3.24559 2.85434 3.04664 3.36267 3.42770 3.43395 3.49713 3.80635 4.38735 4.43866 4.46827 4.59411 4.71748 4.80279 4.83919 4.96546 4.98551 5.05984 5.19722 5.27104 5.29820 5.30818 5.33663 5.37440 5.46408 5.52536 5.60017 5.64072 5.65409 5.68256 5.74800 5.81679 5.90365 5.96947 6.08320 6.21770 6.28649 6.34746 6.42295 6.54823 6.59993 6.74223 6.79579 6.93418 6.99982 7.01267 7.02607 7.35226 7.65205 7.79986 7.81439 8.44332 8.47044 9.19766 9.83224 10.40128 11.28154 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.017880 B = 0.002078 C = 0.001962 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1565.647882 B =13468.162681 C =14265.307737 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.137 4.137 2 C 0.168 3.832 3 H 0.020 0.980 4 C -0.139 4.139 5 C 0.154 3.846 6 H 0.072 0.928 7 N -0.711 5.711 8 C 0.518 3.482 9 O -0.554 6.554 10 C -0.141 4.141 11 C 0.080 3.920 12 O -0.382 6.382 13 C 0.091 3.909 14 C -0.154 4.154 15 C 0.064 3.936 16 O -0.383 6.383 17 C 0.064 3.936 18 C -0.181 4.181 19 C -0.154 4.154 20 C 0.176 3.824 21 N -0.586 5.586 22 C -0.252 4.252 23 H 0.069 0.931 24 C 0.004 3.996 25 N -0.902 5.902 26 Si 0.901 3.099 27 H -0.283 1.283 28 H -0.291 1.291 29 H -0.284 1.284 30 H 0.038 0.962 31 H 0.062 0.938 32 H 0.054 0.946 33 H 0.074 0.926 34 H 0.055 0.945 35 H 0.402 0.598 36 H 0.099 0.901 37 H 0.103 0.897 38 H 0.058 0.942 39 H 0.056 0.944 40 H 0.062 0.938 41 H 0.080 0.920 42 H 0.082 0.918 43 H 0.051 0.949 44 H 0.099 0.901 45 H 0.098 0.902 46 H 0.051 0.949 47 H 0.077 0.923 48 H 0.082 0.918 49 H 0.053 0.947 50 H 0.063 0.937 51 H 0.084 0.916 52 H 0.018 0.982 53 H 0.254 0.746 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 11.977 8.755 14.656 20.854 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 -0.194 4.194 2 C 0.061 3.939 3 H 0.038 0.962 4 C -0.179 4.179 5 C 0.050 3.950 6 H 0.090 0.910 7 N -0.362 5.362 8 C 0.304 3.696 9 O -0.433 6.433 10 C -0.181 4.181 11 C 0.003 3.997 12 O -0.301 6.301 13 C 0.033 3.967 14 C -0.191 4.191 15 C -0.013 4.013 16 O -0.302 6.302 17 C -0.013 4.013 18 C -0.219 4.219 19 C -0.194 4.194 20 C 0.051 3.949 21 N -0.310 5.310 22 C -0.382 4.382 23 H 0.086 0.914 24 C -0.195 4.195 25 N -0.547 5.547 26 Si 0.731 3.269 27 H -0.209 1.209 28 H -0.217 1.217 29 H -0.211 1.211 30 H 0.057 0.943 31 H 0.081 0.919 32 H 0.073 0.927 33 H 0.093 0.907 34 H 0.074 0.926 35 H 0.238 0.762 36 H 0.117 0.883 37 H 0.121 0.879 38 H 0.076 0.924 39 H 0.074 0.926 40 H 0.080 0.920 41 H 0.098 0.902 42 H 0.100 0.900 43 H 0.070 0.930 44 H 0.117 0.883 45 H 0.116 0.884 46 H 0.070 0.930 47 H 0.096 0.904 48 H 0.101 0.899 49 H 0.071 0.929 50 H 0.082 0.918 51 H 0.102 0.898 52 H 0.036 0.964 53 H 0.064 0.936 Dipole moment (debyes) X Y Z Total from point charges 12.510 8.387 14.642 21.006 hybrid contribution -0.874 -0.610 -0.838 1.356 sum 11.636 7.778 13.804 19.658 Atomic orbital electron populations 1.21801 0.95839 1.01551 1.00234 1.20386 0.93178 0.93094 0.87230 0.96249 1.22369 0.93948 1.02332 0.99214 1.20885 0.93022 0.82371 0.98707 0.91035 1.46137 1.14017 1.12776 1.63269 1.20264 0.81972 0.89974 0.77439 1.90671 1.61035 1.45124 1.46478 1.21475 0.96044 0.95755 1.04840 1.22160 0.92939 0.84076 1.00508 1.87866 1.27051 1.30290 1.84890 1.22039 0.82378 0.97289 0.94955 1.22301 0.97386 0.96997 1.02460 1.22581 0.88454 1.01805 0.88470 1.87942 1.61101 1.32369 1.48752 1.22570 0.95982 0.84317 0.98452 1.22750 0.95511 1.03641 0.99974 1.22549 0.99851 0.99442 0.97530 1.20682 0.83192 0.97065 0.94003 1.44117 1.02962 1.64983 1.18920 1.19104 0.95164 1.37824 0.86060 0.91376 1.25095 0.97889 0.99524 0.97017 1.70004 1.24090 1.43747 1.16810 0.86406 0.79597 0.80247 0.80697 1.20917 1.21716 1.21074 0.94329 0.91942 0.92675 0.90695 0.92627 0.76188 0.88316 0.87875 0.92402 0.92564 0.92024 0.90151 0.89963 0.93033 0.88278 0.88408 0.93047 0.90388 0.89921 0.92866 0.91836 0.89814 0.96387 0.93644 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -0.14 -2.41 7.95 37.16 0.30 -2.11 16 2 C 0.17 3.18 3.20 -67.59 -0.22 2.97 16 3 H 0.02 0.37 6.64 -51.93 -0.34 0.03 16 4 C -0.14 -2.25 5.07 -26.61 -0.13 -2.38 16 5 C 0.15 2.61 2.78 -67.89 -0.19 2.42 16 6 H 0.07 1.22 7.58 -51.93 -0.39 0.83 16 7 N -0.71 -10.97 4.27 -53.76 -0.23 -11.20 16 8 C 0.52 7.92 7.79 -10.98 -0.09 7.83 16 9 O -0.55 -10.16 15.64 5.56 0.09 -10.07 16 10 C -0.14 -1.70 6.07 -27.88 -0.17 -1.87 16 11 C 0.08 0.96 5.04 37.15 0.19 1.14 16 12 O -0.38 -4.44 10.00 -35.23 -0.35 -4.79 16 13 C 0.09 0.87 2.69 -26.55 -0.07 0.80 16 14 C -0.15 -1.24 5.79 -26.60 -0.15 -1.39 16 15 C 0.06 0.46 6.84 37.20 0.25 0.71 16 16 O -0.38 -3.59 10.76 -35.23 -0.38 -3.97 16 17 C 0.06 0.50 6.84 37.21 0.25 0.76 16 18 C -0.18 -1.63 5.77 -26.59 -0.15 -1.78 16 19 C -0.15 -3.00 5.77 -26.63 -0.15 -3.15 16 20 C 0.18 4.07 5.02 -3.73 -0.02 4.05 16 21 N -0.59 -13.67 2.99 -164.79 -0.49 -14.16 16 22 C -0.25 -6.53 8.58 -15.06 -0.13 -6.65 16 23 H 0.07 1.72 6.23 -52.49 -0.33 1.40 16 24 C 0.00 0.10 4.94 -17.43 -0.09 0.01 16 25 N -0.90 -25.57 11.23 55.49 0.62 -24.94 16 26 Si 0.90 21.30 29.58 -169.99 -5.03 16.27 16 27 H -0.28 -6.60 7.11 56.52 0.40 -6.20 16 28 H -0.29 -7.00 7.11 56.52 0.40 -6.60 16 29 H -0.28 -6.69 7.11 56.52 0.40 -6.29 16 30 H 0.04 0.56 8.14 -51.93 -0.42 0.13 16 31 H 0.06 1.20 7.67 -51.93 -0.40 0.80 16 32 H 0.05 0.99 7.40 -51.93 -0.38 0.61 16 33 H 0.07 1.25 8.14 -51.93 -0.42 0.82 16 34 H 0.06 0.78 8.14 -51.93 -0.42 0.35 16 35 H 0.40 5.86 6.87 -40.82 -0.28 5.58 16 36 H 0.10 1.01 8.14 -51.93 -0.42 0.58 16 37 H 0.10 1.22 8.14 -51.93 -0.42 0.80 16 38 H 0.06 0.73 7.95 -51.93 -0.41 0.32 16 39 H 0.06 0.67 8.04 -51.93 -0.42 0.25 16 40 H 0.06 0.54 7.79 -51.93 -0.40 0.14 16 41 H 0.08 0.57 8.14 -51.93 -0.42 0.15 16 42 H 0.08 0.73 8.14 -51.93 -0.42 0.31 16 43 H 0.05 0.31 8.14 -51.93 -0.42 -0.11 16 44 H 0.10 0.55 8.14 -51.92 -0.42 0.13 16 45 H 0.10 0.66 8.14 -51.93 -0.42 0.24 16 46 H 0.05 0.35 8.14 -51.93 -0.42 -0.07 16 47 H 0.08 0.70 8.00 -51.93 -0.42 0.28 16 48 H 0.08 0.82 8.14 -51.93 -0.42 0.40 16 49 H 0.05 1.05 8.14 -51.93 -0.42 0.63 16 50 H 0.06 1.25 8.14 -51.93 -0.42 0.83 16 51 H 0.08 2.22 6.15 -51.93 -0.32 1.90 16 52 H 0.02 0.44 7.74 -51.93 -0.40 0.03 16 53 H 0.25 7.04 8.31 -40.82 -0.34 6.70 16 LS Contribution 406.30 15.07 6.12 6.12 Total: -1.00 -30.67 406.30 -9.77 -40.44 By element: Atomic # 1 Polarization: 14.52 SS G_CDS: -9.55 Total: 4.97 kcal Atomic # 6 Polarization: 1.90 SS G_CDS: -0.57 Total: 1.33 kcal Atomic # 7 Polarization: -50.20 SS G_CDS: -0.10 Total: -50.30 kcal Atomic # 8 Polarization: -18.19 SS G_CDS: -0.64 Total: -18.84 kcal Atomic # 14 Polarization: 21.30 SS G_CDS: -5.03 Total: 16.27 kcal Total LS contribution 6.12 Total: 6.12 kcal Total: -30.67 -9.77 -40.44 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. ZINC001274652313.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 -82.425 kcal (2) G-P(sol) polarization free energy of solvation -30.672 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -113.097 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.771 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.443 kcal (6) G-S(sol) free energy of system = (1) + (5) -122.868 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.21 seconds