Wall clock time and date at job start Wed Apr 1 2020 02:08:41 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 1.50695 * 1 3 3 C 1.38261 * 120.00130 * 2 1 4 4 C 1.38218 * 119.99827 * 180.27648 * 3 2 1 5 5 C 1.38252 * 119.99895 * 359.74721 * 4 3 2 6 6 C 1.38214 * 120.00145 * 359.97438 * 5 4 3 7 7 C 1.38216 * 120.00141 * 179.74985 * 2 1 3 8 8 C 1.50703 * 119.99728 * 359.97438 * 7 2 1 9 9 C 1.50706 * 109.46796 * 84.73168 * 8 7 2 10 10 O 1.21270 * 119.99907 * 359.97438 * 9 8 7 11 11 N 1.34782 * 119.99586 * 179.97438 * 9 8 7 12 12 C 1.46496 * 119.99681 * 180.02562 * 11 9 8 13 13 H 1.08997 * 109.26680 * 34.50722 * 12 11 9 14 14 C 1.51202 * 109.26924 * 274.99944 * 12 11 9 15 15 C 1.49307 * 116.94576 * 272.63132 * 14 12 11 16 16 C 1.49195 * 121.14020 * 359.73419 * 15 14 12 17 17 H 1.09004 * 108.41754 * 122.31777 * 16 15 14 18 18 C 1.54192 * 111.21869 * 240.34280 * 16 15 14 19 19 N 1.46883 * 106.35537 * 154.09867 * 18 16 15 20 20 C 1.36940 * 125.36346 * 162.42126 * 19 18 16 21 21 H 1.08002 * 119.99515 * 179.69295 * 20 19 18 22 22 C 1.38806 * 120.00496 * 359.69663 * 20 19 18 23 23 N 1.31624 * 119.99614 * 359.97438 * 22 20 19 24 24 Si 1.86801 * 120.00280 * 180.02562 * 22 20 19 25 25 H 1.48497 * 109.47229 * 59.99501 * 24 22 20 26 26 H 1.48501 * 109.47144 * 179.97438 * 24 22 20 27 27 H 1.48495 * 109.46816 * 299.99327 * 24 22 20 28 28 C 1.46796 * 109.26747 * 342.15529 * 19 18 16 29 29 C 1.52595 * 116.85318 * 359.63570 * 16 15 14 30 30 H 1.08998 * 110.47160 * 91.64206 * 29 16 15 31 31 C 1.52798 * 110.38428 * 328.35482 * 29 16 15 32 32 H 1.08998 * 109.47213 * 270.25278 * 1 2 3 33 33 H 1.08997 * 109.47249 * 30.25715 * 1 2 3 34 34 H 1.09006 * 109.47184 * 150.25041 * 1 2 3 35 35 H 1.07992 * 119.99744 * 0.04200 * 3 2 1 36 36 H 1.07996 * 119.99798 * 179.77093 * 4 3 2 37 37 H 1.08004 * 119.99959 * 180.02562 * 5 4 3 38 38 H 1.08002 * 119.99440 * 179.97438 * 6 5 4 39 39 H 1.08990 * 109.47287 * 324.72835 * 8 7 2 40 40 H 1.09004 * 109.47100 * 204.72732 * 8 7 2 41 41 H 0.97000 * 120.00014 * 0.02562 * 11 9 8 42 42 H 1.08996 * 107.95342 * 150.74239 * 14 12 11 43 43 H 1.09001 * 107.92192 * 34.48889 * 14 12 11 44 44 H 1.08995 * 107.08034 * 236.73644 * 15 14 12 45 45 H 1.09000 * 107.07991 * 122.73317 * 15 14 12 46 46 H 1.08997 * 110.07417 * 34.87086 * 18 16 15 47 47 H 1.09001 * 110.07285 * 273.32314 * 18 16 15 48 48 H 0.97002 * 119.99788 * 180.02562 * 23 22 20 49 49 H 1.09004 * 109.83067 * 120.55245 * 28 19 18 50 50 H 1.08997 * 109.82969 * 241.53186 * 28 19 18 51 51 H 1.09003 * 109.83975 * 183.67583 * 31 29 16 52 52 H 1.08991 * 109.84426 * 304.65173 * 31 29 16 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 1.5070 0.0000 0.0000 3 6 2.1983 1.1974 0.0000 4 6 3.5805 1.1973 -0.0058 5 6 4.2716 0.0000 -0.0063 6 6 3.5805 -1.1970 -0.0005 7 6 2.1981 -1.1970 0.0052 8 6 1.4445 -2.5021 0.0115 9 6 1.0798 -2.8783 -1.4015 10 8 1.3999 -2.1574 -2.3227 11 7 0.3980 -4.0159 -1.6413 12 6 0.0440 -4.3819 -3.0149 13 1 0.8368 -4.0580 -3.6891 14 6 -1.2477 -3.6952 -3.3972 15 6 -2.5171 -4.4041 -3.0577 16 6 -2.5011 -5.7321 -2.3778 17 1 -3.0645 -5.6499 -1.4483 18 6 -3.1857 -6.8098 -3.2422 19 7 -2.5964 -8.0951 -2.8443 20 6 -3.1353 -9.3275 -3.1011 21 1 -2.6239 -10.2198 -2.7715 22 6 -4.3389 -9.4300 -3.7849 23 7 -4.9624 -8.3424 -4.1862 24 14 -5.0744 -11.1111 -4.1345 25 1 -5.3289 -11.8163 -2.8527 26 1 -6.3531 -10.9484 -4.8718 27 1 -4.1262 -11.9050 -4.9565 28 6 -1.3354 -7.8504 -2.1337 29 6 -1.1325 -6.3264 -2.0582 30 1 -0.8137 -6.0332 -1.0580 31 6 -0.1085 -5.9000 -3.1092 32 1 -0.3633 0.0045 1.0276 33 1 -0.3633 0.8876 -0.5178 34 1 -0.3634 -0.8923 -0.5100 35 1 1.6583 2.1326 0.0007 36 1 4.1204 2.1326 -0.0095 37 1 5.3517 -0.0001 -0.0104 38 1 4.1206 -2.1323 -0.0013 39 1 0.5366 -2.3945 0.6047 40 1 2.0714 -3.2815 0.4447 41 1 0.1418 -4.5923 -0.9044 42 1 -1.2335 -3.5284 -4.4742 43 1 -1.2664 -2.7205 -2.9095 44 1 -3.0735 -4.5269 -3.9869 45 1 -3.1022 -3.7308 -2.4313 46 1 -2.9930 -6.6206 -4.2982 47 1 -4.2591 -6.8155 -3.0523 48 1 -5.8037 -8.4140 -4.6638 49 1 -1.3912 -8.2663 -1.1277 50 1 -0.5093 -8.3070 -2.6787 51 1 0.8490 -6.3811 -2.9093 52 1 -0.4616 -6.1754 -4.1028 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 ZINC000980257805.mol2 52 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 02:08:41 Heat of formation + Delta-G solvation = 2.603866 kcal Electronic energy + Delta-G solvation = -30239.938745 eV Core-core repulsion = 26397.086840 eV Total energy + Delta-G solvation = -3842.851905 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 342.205 amu Computer time = 1.29 seconds Orbital eigenvalues (eV) -40.57994 -39.63807 -38.43434 -35.65743 -33.55723 -33.29758 -32.39517 -32.12933 -30.67240 -29.34006 -28.07954 -26.84120 -26.24519 -25.00046 -22.71879 -22.27480 -21.66785 -20.89308 -20.52345 -19.98805 -17.68311 -17.20068 -16.82874 -16.56891 -16.18457 -15.71200 -15.63240 -15.08851 -14.81998 -14.41570 -14.26853 -13.96693 -13.66404 -13.56650 -13.36134 -13.16965 -13.11314 -12.65915 -12.57314 -12.38558 -12.17364 -12.15454 -12.08598 -11.88091 -11.48818 -11.27270 -11.16903 -11.12742 -10.96306 -10.93065 -10.70177 -10.45347 -10.05841 -9.96113 -9.85963 -9.78429 -9.39417 -9.30655 -8.95252 -8.91697 -8.72485 -8.59920 -6.81211 -5.67457 -3.05688 1.16465 1.24329 2.64880 3.18722 3.39909 3.44217 3.45491 3.67196 4.43115 4.49429 4.59267 4.76157 4.80524 4.83062 4.96400 5.01934 5.03203 5.06681 5.13312 5.23885 5.35335 5.37501 5.40625 5.43949 5.49352 5.51957 5.52622 5.64074 5.72503 5.81989 5.88075 5.88282 5.96047 5.99218 6.04992 6.23811 6.29556 6.32044 6.33765 6.39336 6.44576 6.47029 6.58199 6.65529 6.72422 6.79617 6.84768 6.91208 6.98023 7.54916 7.56653 7.66000 7.86704 8.25985 8.34136 9.23774 9.84604 10.49020 11.38981 Molecular weight = 342.20amu Principal moments of inertia in cm(-1) A = 0.031900 B = 0.002116 C = 0.002064 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 877.534980 B =13228.498314 C =13565.191996 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.118 4.118 2 C -0.068 4.068 3 C -0.122 4.122 4 C -0.119 4.119 5 C -0.127 4.127 6 C -0.104 4.104 7 C -0.063 4.063 8 C -0.107 4.107 9 C 0.513 3.487 10 O -0.534 6.534 11 N -0.722 5.722 12 C 0.153 3.847 13 H 0.084 0.916 14 C -0.115 4.115 15 C -0.099 4.099 16 C -0.104 4.104 17 H 0.056 0.944 18 C 0.172 3.828 19 N -0.604 5.604 20 C -0.225 4.225 21 H 0.076 0.924 22 C -0.011 4.011 23 N -0.922 5.922 24 Si 0.913 3.087 25 H -0.285 1.285 26 H -0.290 1.290 27 H -0.286 1.286 28 C 0.140 3.860 29 C -0.086 4.086 30 H 0.062 0.938 31 C -0.113 4.113 32 H 0.070 0.930 33 H 0.067 0.933 34 H 0.066 0.934 35 H 0.120 0.880 36 H 0.119 0.881 37 H 0.120 0.880 38 H 0.119 0.881 39 H 0.103 0.897 40 H 0.101 0.899 41 H 0.400 0.600 42 H 0.062 0.938 43 H 0.057 0.943 44 H 0.061 0.939 45 H 0.045 0.955 46 H 0.015 0.985 47 H 0.087 0.913 48 H 0.252 0.748 49 H 0.019 0.981 50 H 0.023 0.977 51 H 0.065 0.935 52 H 0.085 0.915 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 14.340 16.896 10.349 24.459 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 -0.174 4.174 2 C -0.068 4.068 3 C -0.140 4.140 4 C -0.137 4.137 5 C -0.145 4.145 6 C -0.122 4.122 7 C -0.064 4.064 8 C -0.147 4.147 9 C 0.298 3.702 10 O -0.411 6.411 11 N -0.376 5.376 12 C 0.049 3.951 13 H 0.102 0.898 14 C -0.154 4.154 15 C -0.137 4.137 16 C -0.124 4.124 17 H 0.074 0.926 18 C 0.047 3.953 19 N -0.330 5.330 20 C -0.353 4.353 21 H 0.094 0.906 22 C -0.206 4.206 23 N -0.571 5.571 24 Si 0.744 3.256 25 H -0.212 1.212 26 H -0.216 1.216 27 H -0.212 1.212 28 C 0.014 3.986 29 C -0.105 4.105 30 H 0.080 0.920 31 C -0.150 4.150 32 H 0.089 0.911 33 H 0.086 0.914 34 H 0.085 0.915 35 H 0.138 0.862 36 H 0.137 0.863 37 H 0.138 0.862 38 H 0.138 0.862 39 H 0.121 0.879 40 H 0.119 0.881 41 H 0.236 0.764 42 H 0.081 0.919 43 H 0.076 0.924 44 H 0.080 0.920 45 H 0.063 0.937 46 H 0.033 0.967 47 H 0.105 0.895 48 H 0.063 0.937 49 H 0.037 0.963 50 H 0.040 0.960 51 H 0.084 0.916 52 H 0.104 0.896 Dipole moment (debyes) X Y Z Total from point charges 14.341 17.327 9.557 24.438 hybrid contribution -0.549 -1.157 0.092 1.284 sum 13.792 16.170 9.649 23.341 Atomic orbital electron populations 1.20837 0.91347 1.03222 1.02016 1.19712 0.95941 0.92591 0.98519 1.20980 0.94287 0.97322 1.01367 1.21097 0.94306 0.97968 1.00301 1.21054 0.99704 0.92500 1.01228 1.20970 0.93402 0.98208 0.99634 1.19132 0.93403 0.93152 1.00698 1.20729 1.02098 0.96406 0.95476 1.20442 0.77728 0.81118 0.90879 1.90717 1.53714 1.50835 1.45819 1.46383 1.57280 1.23873 1.10068 1.20580 0.96601 0.95345 0.82612 0.89839 1.20765 0.94058 0.99071 1.01502 1.19821 0.96816 0.95714 1.01359 1.21068 0.95950 0.95180 1.00165 0.92573 1.21683 0.98640 0.81351 0.93623 1.44281 1.20566 1.02750 1.65389 1.19013 1.02634 0.83386 1.30294 0.90608 1.24795 0.97810 0.97351 1.00685 1.69884 1.17833 1.25549 1.43793 0.86175 0.78385 0.83185 0.77880 1.21198 1.21611 1.21227 1.21268 0.89975 0.92027 0.95298 1.21455 0.95394 0.96670 0.97020 0.91974 1.21773 0.99012 0.92866 1.01391 0.91111 0.91421 0.91476 0.86214 0.86290 0.86237 0.86250 0.87901 0.88089 0.76417 0.91899 0.92445 0.92017 0.93657 0.96675 0.89474 0.93738 0.96289 0.95964 0.91635 0.89617 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 -0.12 -1.06 9.22 36.00 0.33 -0.73 16 2 C -0.07 -0.71 5.88 -104.62 -0.62 -1.32 16 3 C -0.12 -1.18 9.70 -39.58 -0.38 -1.56 16 4 C -0.12 -1.08 10.05 -39.58 -0.40 -1.48 16 5 C -0.13 -1.18 10.05 -39.59 -0.40 -1.58 16 6 C -0.10 -1.04 9.68 -39.59 -0.38 -1.43 16 7 C -0.06 -0.67 4.37 -104.62 -0.46 -1.13 16 8 C -0.11 -0.96 5.15 -29.03 -0.15 -1.11 16 9 C 0.51 6.17 6.77 -10.98 -0.07 6.09 16 10 O -0.53 -8.53 15.68 5.57 0.09 -8.44 16 11 N -0.72 -8.15 4.90 -54.76 -0.27 -8.41 16 12 C 0.15 2.01 2.77 -68.91 -0.19 1.82 16 13 H 0.08 1.18 7.55 -51.93 -0.39 0.79 16 14 C -0.12 -1.60 5.46 -29.46 -0.16 -1.76 16 15 C -0.10 -1.53 5.40 -30.42 -0.16 -1.69 16 16 C -0.10 -1.84 2.85 -92.08 -0.26 -2.10 16 17 H 0.06 1.01 8.13 -51.93 -0.42 0.59 16 18 C 0.17 4.04 4.90 -3.21 -0.02 4.02 16 19 N -0.60 -15.11 3.39 -171.38 -0.58 -15.69 16 20 C -0.22 -6.21 10.25 -15.06 -0.15 -6.36 16 21 H 0.08 2.02 7.83 -52.49 -0.41 1.61 16 22 C -0.01 -0.30 5.48 -17.43 -0.10 -0.40 16 23 N -0.92 -26.75 10.18 55.49 0.56 -26.19 16 24 Si 0.91 21.98 29.55 -169.99 -5.02 16.96 16 25 H -0.29 -6.76 7.11 56.52 0.40 -6.36 16 26 H -0.29 -7.05 7.11 56.52 0.40 -6.65 16 27 H -0.29 -6.80 7.11 56.52 0.40 -6.39 16 28 C 0.14 2.79 6.85 -3.39 -0.02 2.77 16 29 C -0.09 -1.35 2.72 -90.44 -0.25 -1.60 16 30 H 0.06 0.81 6.16 -51.93 -0.32 0.49 16 31 C -0.11 -1.60 4.71 -26.91 -0.13 -1.72 16 32 H 0.07 0.52 8.14 -51.93 -0.42 0.09 16 33 H 0.07 0.57 8.09 -51.93 -0.42 0.15 16 34 H 0.07 0.67 6.15 -51.93 -0.32 0.35 16 35 H 0.12 0.93 8.06 -52.49 -0.42 0.50 16 36 H 0.12 0.81 8.06 -52.49 -0.42 0.39 16 37 H 0.12 0.85 8.06 -52.48 -0.42 0.43 16 38 H 0.12 1.00 8.06 -52.49 -0.42 0.58 16 39 H 0.10 0.75 7.01 -51.93 -0.36 0.39 16 40 H 0.10 0.69 8.05 -51.93 -0.42 0.27 16 41 H 0.40 3.83 6.44 -40.82 -0.26 3.56 16 42 H 0.06 0.87 8.12 -51.93 -0.42 0.45 16 43 H 0.06 0.80 7.76 -51.93 -0.40 0.40 16 44 H 0.06 1.04 7.20 -51.93 -0.37 0.67 16 45 H 0.04 0.65 8.09 -51.93 -0.42 0.23 16 46 H 0.02 0.39 7.69 -51.93 -0.40 -0.01 16 47 H 0.09 2.35 6.25 -51.93 -0.32 2.02 16 48 H 0.25 7.13 8.31 -40.82 -0.34 6.79 16 49 H 0.02 0.38 8.14 -51.93 -0.42 -0.05 16 50 H 0.02 0.44 7.71 -51.93 -0.40 0.04 16 51 H 0.06 0.85 8.14 -51.93 -0.42 0.43 16 52 H 0.09 1.40 8.14 -51.93 -0.42 0.98 16 LS Contribution 398.61 15.07 6.01 6.01 Total: -1.00 -32.52 398.61 -11.77 -44.29 By element: Atomic # 1 Polarization: 11.34 SS G_CDS: -8.59 Total: 2.75 kcal Atomic # 6 Polarization: -7.30 SS G_CDS: -3.97 Total: -11.26 kcal Atomic # 7 Polarization: -50.01 SS G_CDS: -0.28 Total: -50.29 kcal Atomic # 8 Polarization: -8.53 SS G_CDS: 0.09 Total: -8.44 kcal Atomic # 14 Polarization: 21.98 SS G_CDS: -5.02 Total: 16.96 kcal Total LS contribution 6.01 Total: 6.01 kcal Total: -32.52 -11.77 -44.29 kcal The number of atoms in the molecule is 52 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. ZINC000980257805.mol2 52 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 46.893 kcal (2) G-P(sol) polarization free energy of solvation -32.519 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 14.374 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -11.770 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.289 kcal (6) G-S(sol) free energy of system = (1) + (5) 2.604 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.30 seconds