Wall clock time and date at job start Wed Apr 1 2020 00:19:56 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 O 1.42899 * 1 3 3 C 1.42910 * 113.99942 * 2 1 4 4 C 1.52998 * 109.46996 * 179.97438 * 3 2 1 5 5 C 1.52996 * 109.46981 * 299.99579 * 4 3 2 6 6 C 1.53001 * 109.47298 * 59.99917 * 4 3 2 7 7 C 1.50705 * 109.46771 * 180.02562 * 4 3 2 8 8 O 1.21280 * 119.99950 * 0.61403 * 7 4 3 9 9 N 1.34774 * 119.99844 * 180.61458 * 7 4 3 10 10 C 1.47157 * 121.07609 * 354.96751 * 9 7 4 11 11 C 1.53279 * 108.56699 * 128.75919 * 10 9 7 12 12 H 1.08999 * 109.51157 * 293.05136 * 11 10 9 13 13 C 1.53008 * 109.50946 * 172.95252 * 11 10 9 14 14 O 1.43125 * 109.23020 * 52.97897 * 11 10 9 15 15 C 1.41897 * 114.36529 * 299.10534 * 14 11 10 16 16 C 1.54344 * 110.76244 * 183.36955 * 15 14 11 17 17 C 1.54469 * 102.87212 * 83.67818 * 16 15 14 18 18 N 1.47083 * 107.29623 * 21.47596 * 17 16 15 19 19 C 1.36935 * 125.62891 * 181.04127 * 18 17 16 20 20 H 1.07997 * 120.00293 * 179.97438 * 19 18 17 21 21 C 1.38817 * 119.99904 * 359.95900 * 19 18 17 22 22 N 1.31619 * 120.00112 * 0.02562 * 21 19 18 23 23 Si 1.86802 * 120.00027 * 180.02562 * 21 19 18 24 24 H 1.48493 * 109.46878 * 0.02562 * 23 21 19 25 25 H 1.48501 * 109.47146 * 120.00135 * 23 21 19 26 26 H 1.48496 * 109.46947 * 240.00362 * 23 21 19 27 27 C 1.47565 * 108.74635 * 1.00847 * 18 17 16 28 28 C 1.47330 * 121.07424 * 174.68610 * 9 7 4 29 29 H 1.08998 * 109.47120 * 60.00703 * 1 2 3 30 30 H 1.08995 * 109.47053 * 300.00162 * 1 2 3 31 31 H 1.09004 * 109.46673 * 180.02562 * 1 2 3 32 32 H 1.09000 * 109.46463 * 300.00283 * 3 2 1 33 33 H 1.08994 * 109.47101 * 59.99636 * 3 2 1 34 34 H 1.09000 * 109.47319 * 69.86695 * 5 4 3 35 35 H 1.09011 * 109.46914 * 189.86247 * 5 4 3 36 36 H 1.08995 * 109.47711 * 309.86632 * 5 4 3 37 37 H 1.09002 * 109.46699 * 44.56296 * 6 4 3 38 38 H 1.09004 * 109.46588 * 164.56049 * 6 4 3 39 39 H 1.08999 * 109.47054 * 284.56072 * 6 4 3 40 40 H 1.09001 * 109.62276 * 248.48653 * 10 9 7 41 41 H 1.09000 * 109.61963 * 9.03915 * 10 9 7 42 42 H 1.08994 * 109.46789 * 60.00243 * 13 11 10 43 43 H 1.09004 * 109.46736 * 180.02562 * 13 11 10 44 44 H 1.08998 * 109.47174 * 300.00090 * 13 11 10 45 45 H 1.09001 * 110.73244 * 202.02064 * 16 15 14 46 46 H 1.09004 * 110.73536 * 325.33519 * 16 15 14 47 47 H 1.08998 * 109.87935 * 262.05584 * 17 16 15 48 48 H 1.08997 * 110.00635 * 140.97613 * 17 16 15 49 49 H 0.96998 * 120.00467 * 179.97438 * 22 21 19 50 50 H 1.08998 * 110.37955 * 217.86134 * 27 18 17 51 51 H 1.09000 * 110.47408 * 95.54923 * 27 18 17 52 52 H 1.09001 * 109.67517 * 348.94848 * 28 9 7 53 53 H 1.08998 * 109.67826 * 109.49159 * 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 8 1.4290 0.0000 0.0000 3 6 2.0102 1.3055 0.0000 4 6 3.5354 1.1847 0.0006 5 6 3.9863 0.4258 1.2502 6 6 3.9874 0.4252 -1.2483 7 6 4.1483 2.5615 0.0013 8 8 3.4355 3.5426 0.0125 9 7 5.4886 2.7025 -0.0106 10 6 6.3763 1.5328 0.0862 11 6 7.3961 1.5980 -1.0562 12 1 6.8841 1.4645 -2.0092 13 6 8.4370 0.4912 -0.8759 14 8 8.0449 2.8736 -1.0367 15 6 7.1714 3.9775 -1.2155 16 6 7.9647 5.3005 -1.2645 17 6 8.4164 5.3765 -2.7397 18 7 7.5117 4.5176 -3.5188 19 6 7.5873 4.2957 -4.8680 20 1 6.8726 3.6445 -5.3491 21 6 8.5825 4.9080 -5.6174 22 7 9.4538 5.7015 -5.0311 23 14 8.6853 4.6059 -7.4579 24 1 7.5977 3.6825 -7.8694 25 1 8.5391 5.8952 -8.1801 26 1 10.0006 4.0003 -7.7874 27 6 6.5094 3.9337 -2.6066 28 6 6.1125 4.0321 -0.1272 29 1 -0.3633 0.5137 -0.8900 30 1 -0.3633 0.5138 0.8899 31 1 -0.3633 -1.0277 0.0005 32 1 1.6885 1.8464 -0.8900 33 1 1.6886 1.8464 0.8899 34 1 3.6905 -0.6200 1.1668 35 1 5.0706 0.4903 1.3431 36 1 3.5194 0.8662 2.1312 37 1 3.4465 0.8002 -2.1171 38 1 5.0575 0.5720 -1.3952 39 1 3.7804 -0.6375 -1.1220 40 1 6.8976 1.5471 1.0434 41 1 5.7883 0.6190 0.0002 42 1 7.9410 -0.4793 -0.8871 43 1 9.1621 0.5385 -1.6884 44 1 8.9497 0.6263 0.0765 45 1 7.3227 6.1449 -1.0136 46 1 8.8268 5.2586 -0.5987 47 1 9.4409 5.0162 -2.8327 48 1 8.3512 6.4041 -3.0972 49 1 10.1494 6.1291 -5.5546 50 1 6.2914 2.9043 -2.8909 51 1 5.5967 4.5295 -2.6114 52 1 5.3553 4.7709 -0.3898 53 1 6.5777 4.3035 0.8204 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 ZINC001131673500.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 00:19:56 Heat of formation + Delta-G solvation = -73.333969 kcal Electronic energy + Delta-G solvation = -32984.789130 eV Core-core repulsion = 28858.646872 eV Total energy + Delta-G solvation = -4126.142258 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.14 seconds Orbital eigenvalues (eV) -41.12417 -39.28120 -37.90664 -36.48942 -35.28940 -34.36776 -33.04395 -31.31912 -29.43403 -28.47614 -27.63020 -27.58239 -26.65656 -25.81522 -25.58225 -23.95223 -22.04854 -21.67297 -20.14459 -19.32965 -18.87467 -17.12162 -16.92546 -16.77905 -16.37957 -16.10069 -15.72237 -15.32299 -15.07273 -14.70287 -14.61857 -14.17744 -14.14711 -13.88305 -13.52335 -13.49462 -13.41576 -12.76613 -12.64348 -12.41078 -12.22223 -12.19989 -12.06530 -11.99235 -11.95472 -11.78262 -11.52703 -11.43363 -11.27511 -11.01763 -10.87417 -10.85973 -10.81725 -10.32855 -10.21745 -10.10703 -10.04549 -9.88323 -9.66978 -9.56149 -9.47141 -8.56260 -8.35173 -6.78540 -5.67933 -3.00634 2.54259 2.74241 3.41412 3.46692 3.49237 3.58832 3.88025 4.23620 4.50862 4.58247 4.60200 4.68445 4.85302 4.90737 5.06804 5.07428 5.10254 5.14547 5.19726 5.33538 5.35791 5.38828 5.40558 5.43796 5.48869 5.52384 5.59143 5.61546 5.62719 5.66332 5.71603 5.73281 5.84352 5.91597 5.97420 6.02372 6.11370 6.19395 6.22097 6.31654 6.43425 6.49806 6.61244 6.67009 6.89109 7.31885 7.57014 7.65239 7.71849 7.86736 8.07869 8.28862 9.25015 9.84901 10.51037 11.43937 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.013952 B = 0.003401 C = 0.003176 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2006.427318 B = 8229.776589 C = 8813.490299 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.033 3.967 2 O -0.388 6.388 3 C 0.087 3.913 4 C -0.078 4.078 5 C -0.152 4.152 6 C -0.150 4.150 7 C 0.531 3.469 8 O -0.540 6.540 9 N -0.605 5.605 10 C 0.057 3.943 11 C 0.068 3.932 12 H 0.069 0.931 13 C -0.142 4.142 14 O -0.346 6.346 15 C 0.092 3.908 16 C -0.129 4.129 17 C 0.183 3.817 18 N -0.598 5.598 19 C -0.225 4.225 20 H 0.076 0.924 21 C -0.007 4.007 22 N -0.920 5.920 23 Si 0.911 3.089 24 H -0.281 1.281 25 H -0.291 1.291 26 H -0.291 1.291 27 C 0.121 3.879 28 C 0.098 3.902 29 H 0.041 0.959 30 H 0.040 0.960 31 H 0.085 0.915 32 H 0.058 0.942 33 H 0.056 0.944 34 H 0.076 0.924 35 H 0.073 0.927 36 H 0.059 0.941 37 H 0.063 0.937 38 H 0.071 0.929 39 H 0.076 0.924 40 H 0.077 0.923 41 H 0.114 0.886 42 H 0.069 0.931 43 H 0.071 0.929 44 H 0.063 0.937 45 H 0.073 0.927 46 H 0.073 0.927 47 H 0.050 0.950 48 H 0.044 0.956 49 H 0.251 0.749 50 H 0.038 0.962 51 H 0.024 0.976 52 H 0.101 0.899 53 H 0.072 0.928 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -10.591 -12.705 14.880 22.249 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 -0.063 4.063 2 O -0.307 6.307 3 C 0.010 3.990 4 C -0.082 4.082 5 C -0.209 4.209 6 C -0.207 4.207 7 C 0.319 3.681 8 O -0.417 6.417 9 N -0.338 5.338 10 C -0.065 4.065 11 C 0.009 3.991 12 H 0.087 0.913 13 C -0.199 4.199 14 O -0.264 6.264 15 C 0.050 3.950 16 C -0.168 4.168 17 C 0.058 3.942 18 N -0.325 5.325 19 C -0.354 4.354 20 H 0.094 0.906 21 C -0.204 4.204 22 N -0.568 5.568 23 Si 0.741 3.259 24 H -0.206 1.206 25 H -0.218 1.218 26 H -0.218 1.218 27 C -0.006 4.006 28 C -0.024 4.024 29 H 0.060 0.940 30 H 0.059 0.941 31 H 0.104 0.896 32 H 0.077 0.923 33 H 0.075 0.925 34 H 0.095 0.905 35 H 0.092 0.908 36 H 0.078 0.922 37 H 0.083 0.917 38 H 0.089 0.911 39 H 0.095 0.905 40 H 0.095 0.905 41 H 0.131 0.869 42 H 0.088 0.912 43 H 0.090 0.910 44 H 0.082 0.918 45 H 0.091 0.909 46 H 0.092 0.908 47 H 0.068 0.932 48 H 0.062 0.938 49 H 0.062 0.938 50 H 0.056 0.944 51 H 0.041 0.959 52 H 0.119 0.881 53 H 0.090 0.910 Dipole moment (debyes) X Y Z Total from point charges -10.536 -12.243 14.725 21.856 hybrid contribution -0.375 0.135 -1.032 1.107 sum -10.911 -12.108 13.692 21.287 Atomic orbital electron populations 1.22720 0.80920 1.02579 1.00127 1.87799 1.19624 1.27727 1.95517 1.22253 0.90994 0.84168 1.01584 1.20640 0.95089 0.93388 0.99033 1.22202 1.02195 1.01102 0.95413 1.22131 1.02142 1.00899 0.95563 1.20268 0.81724 0.90596 0.75550 1.90691 1.60348 1.40677 1.50032 1.48049 1.05084 1.08024 1.72656 1.23146 0.93280 0.89824 1.00291 1.22497 0.93653 0.85763 0.97144 0.91312 1.21697 0.98957 0.95861 1.03399 1.87853 1.33271 1.12436 1.92868 1.22251 0.90224 0.88395 0.94102 1.22837 0.99401 0.92865 1.01686 1.21157 0.94146 0.95176 0.83715 1.44417 1.31127 1.53347 1.03567 1.19059 1.11087 1.23702 0.81517 0.90650 1.24777 0.97856 0.99637 0.98098 1.69966 1.18684 1.34318 1.33827 0.86060 0.77331 0.77344 0.85130 1.20596 1.21770 1.21758 1.21931 0.92618 0.96998 0.89013 1.22113 0.96429 0.84516 0.99373 0.94000 0.94143 0.89628 0.92343 0.92538 0.90479 0.90841 0.92166 0.91749 0.91080 0.90519 0.90475 0.86878 0.91213 0.90954 0.91837 0.90895 0.90846 0.93168 0.93797 0.93835 0.94365 0.95869 0.88076 0.90976 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 0.03 0.26 11.01 101.05 1.11 1.37 16 2 O -0.39 -4.05 9.84 -35.23 -0.35 -4.40 16 3 C 0.09 1.00 4.02 37.16 0.15 1.15 16 4 C -0.08 -0.88 0.58 -155.66 -0.09 -0.97 16 5 C -0.15 -1.37 7.81 37.16 0.29 -1.08 16 6 C -0.15 -1.59 7.76 37.16 0.29 -1.30 16 7 C 0.53 7.65 6.49 -10.98 -0.07 7.58 16 8 O -0.54 -9.54 15.50 5.56 0.09 -9.45 16 9 N -0.61 -8.39 2.94 -172.95 -0.51 -8.90 16 10 C 0.06 0.65 3.31 -3.54 -0.01 0.64 16 11 C 0.07 0.95 2.96 -26.58 -0.08 0.87 16 12 H 0.07 1.08 5.59 -51.93 -0.29 0.79 16 13 C -0.14 -1.58 9.57 37.16 0.36 -1.23 16 14 O -0.35 -6.20 9.93 -35.22 -0.35 -6.55 16 15 C 0.09 1.67 0.83 -89.86 -0.07 1.59 16 16 C -0.13 -2.46 6.12 -25.26 -0.15 -2.62 16 17 C 0.18 4.53 5.39 -2.95 -0.02 4.51 16 18 N -0.60 -15.66 3.40 -170.31 -0.58 -16.23 16 19 C -0.23 -6.41 10.28 -15.06 -0.15 -6.57 16 20 H 0.08 2.09 7.83 -52.49 -0.41 1.68 16 21 C -0.01 -0.22 5.49 -17.43 -0.10 -0.31 16 22 N -0.92 -27.35 10.31 55.49 0.57 -26.78 16 23 Si 0.91 22.44 29.55 -169.99 -5.02 17.41 16 24 H -0.28 -6.71 7.11 56.52 0.40 -6.31 16 25 H -0.29 -7.20 7.11 56.52 0.40 -6.80 16 26 H -0.29 -7.18 7.11 56.52 0.40 -6.77 16 27 C 0.12 2.62 6.18 -2.87 -0.02 2.60 16 28 C 0.10 1.52 5.24 -4.12 -0.02 1.50 16 29 H 0.04 0.31 8.14 -51.93 -0.42 -0.11 16 30 H 0.04 0.28 8.14 -51.93 -0.42 -0.14 16 31 H 0.09 0.52 8.14 -51.93 -0.42 0.09 16 32 H 0.06 0.73 8.11 -51.93 -0.42 0.30 16 33 H 0.06 0.66 8.09 -51.93 -0.42 0.24 16 34 H 0.08 0.63 7.80 -51.93 -0.41 0.22 16 35 H 0.07 0.59 4.61 -51.92 -0.24 0.35 16 36 H 0.06 0.55 8.11 -51.93 -0.42 0.13 16 37 H 0.06 0.75 8.05 -51.93 -0.42 0.33 16 38 H 0.07 0.76 4.26 -51.93 -0.22 0.54 16 39 H 0.08 0.70 7.90 -51.93 -0.41 0.29 16 40 H 0.08 0.79 8.10 -51.93 -0.42 0.37 16 41 H 0.11 1.04 3.00 -51.93 -0.16 0.89 16 42 H 0.07 0.58 8.14 -51.93 -0.42 0.16 16 43 H 0.07 0.93 8.14 -51.93 -0.42 0.51 16 44 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 45 H 0.07 1.26 8.00 -51.93 -0.42 0.84 16 46 H 0.07 1.29 8.14 -51.93 -0.42 0.87 16 47 H 0.05 1.39 7.38 -51.93 -0.38 1.01 16 48 H 0.04 1.19 7.49 -51.93 -0.39 0.80 16 49 H 0.25 7.24 8.31 -40.82 -0.34 6.90 16 50 H 0.04 0.83 6.09 -51.93 -0.32 0.51 16 51 H 0.02 0.53 7.80 -51.93 -0.40 0.12 16 52 H 0.10 1.69 6.88 -51.93 -0.36 1.34 16 53 H 0.07 1.01 8.14 -51.93 -0.42 0.59 16 LS Contribution 394.36 15.07 5.94 5.94 Total: -1.00 -33.47 394.36 -7.81 -41.28 By element: Atomic # 1 Polarization: 8.95 SS G_CDS: -9.02 Total: -0.06 kcal Atomic # 6 Polarization: 6.32 SS G_CDS: 1.41 Total: 7.73 kcal Atomic # 7 Polarization: -51.40 SS G_CDS: -0.52 Total: -51.91 kcal Atomic # 8 Polarization: -19.78 SS G_CDS: -0.61 Total: -20.39 kcal Atomic # 14 Polarization: 22.44 SS G_CDS: -5.02 Total: 17.41 kcal Total LS contribution 5.94 Total: 5.94 kcal Total: -33.47 -7.81 -41.28 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. ZINC001131673500.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 -32.050 kcal (2) G-P(sol) polarization free energy of solvation -33.470 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -65.520 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.814 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.284 kcal (6) G-S(sol) free energy of system = (1) + (5) -73.334 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.14 seconds