Wall clock time and date at job start Sat Apr 11 2020 06:10:46 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 1.46897 * 1 3 3 C 1.46897 * 111.00008 * 2 1 4 4 C 1.46895 * 111.00291 * 123.95688 * 2 1 3 5 5 C 1.52996 * 109.47285 * 169.99855 * 4 2 1 6 6 C 1.53009 * 109.47280 * 179.97438 * 5 4 2 7 7 N 1.46497 * 109.47037 * 179.97438 * 6 5 4 8 8 C 1.46495 * 120.00335 * 270.00052 * 7 6 5 9 9 C 1.50701 * 109.47234 * 273.52280 * 8 7 6 10 10 H 1.08005 * 119.99998 * 359.97438 * 9 8 7 11 11 C 1.37880 * 120.00334 * 180.02562 * 9 8 7 12 12 N 1.31517 * 119.99564 * 359.97438 * 11 9 8 13 13 Si 1.86801 * 120.00250 * 179.97438 * 11 9 8 14 14 H 1.48493 * 109.46872 * 89.99785 * 13 11 9 15 15 H 1.48496 * 109.46851 * 210.00065 * 13 11 9 16 16 H 1.48499 * 109.46681 * 329.99692 * 13 11 9 17 17 C 1.34778 * 119.99377 * 90.00487 * 7 6 5 18 18 O 1.21279 * 120.00420 * 4.97697 * 17 7 6 19 19 C 1.50705 * 119.99517 * 184.97370 * 17 7 6 20 20 H 1.08996 * 109.47046 * 32.29486 * 19 17 7 21 21 C 1.52997 * 109.47447 * 272.29366 * 19 17 7 22 22 C 1.52999 * 109.47463 * 180.02562 * 21 19 17 23 23 C 1.53003 * 109.46768 * 60.00167 * 22 21 19 24 24 C 1.53007 * 109.47006 * 299.99992 * 23 22 21 25 25 H 1.09001 * 109.46907 * 299.99935 * 24 23 22 26 26 C 1.50701 * 109.46656 * 180.02562 * 24 23 22 27 27 O 1.20827 * 119.99767 * 239.99939 * 26 24 23 28 28 O 1.34225 * 120.00188 * 60.00269 * 26 24 23 29 29 C 1.52999 * 109.46979 * 60.00417 * 24 23 22 30 30 H 1.09002 * 109.47057 * 296.04414 * 1 2 3 31 31 H 1.09003 * 109.47151 * 56.04265 * 1 2 3 32 32 H 1.08997 * 109.47157 * 176.04384 * 1 2 3 33 33 H 1.09004 * 109.47389 * 183.95465 * 3 2 1 34 34 H 1.09007 * 109.47199 * 303.95674 * 3 2 1 35 35 H 1.08999 * 109.47090 * 63.95738 * 3 2 1 36 36 H 1.09004 * 109.46853 * 49.99584 * 4 2 1 37 37 H 1.09003 * 109.46799 * 290.00178 * 4 2 1 38 38 H 1.09004 * 109.47396 * 60.00062 * 5 4 2 39 39 H 1.08997 * 109.47047 * 299.99955 * 5 4 2 40 40 H 1.09004 * 109.46679 * 59.99839 * 6 5 4 41 41 H 1.09003 * 109.46978 * 300.00430 * 6 5 4 42 42 H 1.09000 * 109.47255 * 33.51572 * 8 7 6 43 43 H 1.08999 * 109.47148 * 153.52223 * 8 7 6 44 44 H 0.96997 * 119.99723 * 179.97438 * 12 11 9 45 45 H 1.09002 * 109.46877 * 60.00009 * 21 19 17 46 46 H 1.09007 * 109.47230 * 300.00549 * 21 19 17 47 47 H 1.08996 * 109.47037 * 300.00123 * 22 21 19 48 48 H 1.09001 * 109.46980 * 179.97438 * 22 21 19 49 49 H 1.09001 * 109.46948 * 180.02562 * 23 22 21 50 50 H 1.08996 * 109.47377 * 60.00165 * 23 22 21 51 51 H 0.96706 * 117.00125 * 180.02562 * 28 26 24 52 52 H 1.08996 * 109.47265 * 59.99912 * 29 24 23 53 53 H 1.09001 * 109.46609 * 180.02562 * 29 24 23 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 1.3714 0.0000 4 6 1.9955 -0.7660 1.1375 5 6 3.5044 -0.9554 0.9702 6 6 4.0529 -1.7527 2.1553 7 7 5.4977 -1.9345 1.9948 8 6 6.0139 -3.1061 1.2828 9 6 6.1541 -4.2573 2.2452 10 1 5.8858 -4.1289 3.2835 11 6 6.6257 -5.4742 1.8006 12 7 6.9528 -5.6304 0.5363 13 14 6.8001 -6.9010 2.9937 14 1 5.5367 -7.6808 3.0206 15 1 7.9147 -7.7790 2.5557 16 1 7.0876 -6.3770 4.3531 17 6 6.3519 -1.0238 2.5022 18 8 5.9304 -0.1023 3.1687 19 6 7.8307 -1.1506 2.2414 20 1 7.9896 -1.5973 1.2600 21 6 8.4636 -2.0387 3.3145 22 6 9.9651 -2.1669 3.0501 23 6 10.6102 -0.7801 3.0903 24 6 9.9773 0.1081 2.0171 25 1 10.1367 -0.3385 1.0356 26 6 10.6132 1.4738 2.0564 27 8 9.9350 2.4499 2.2737 28 8 11.9329 1.6059 1.8497 29 6 8.4758 0.2362 2.2816 30 1 -0.3633 0.4512 0.9233 31 1 -0.3633 0.5740 -0.8524 32 1 -0.3633 -1.0252 -0.0709 33 1 3.0828 1.3432 -0.0709 34 1 1.5897 1.9164 -0.8525 35 1 1.7044 1.8723 0.9233 36 1 1.5089 -1.7407 1.1755 37 1 1.7975 -0.2248 2.0627 38 1 3.9910 0.0193 0.9322 39 1 3.7023 -1.4965 0.0450 40 1 3.5664 -2.7274 2.1938 41 1 3.8550 -1.2111 3.0804 42 1 5.3227 -3.3809 0.4861 43 1 6.9878 -2.8706 0.8538 44 1 7.2850 -6.4864 0.2236 45 1 8.0037 -3.0265 3.2862 46 1 8.3047 -1.5920 4.2960 47 1 10.1244 -2.6134 2.0686 48 1 10.4160 -2.7993 3.8149 49 1 11.6799 -0.8714 2.9015 50 1 10.4510 -0.3336 4.0718 51 1 12.2953 2.5018 1.8850 52 1 8.3166 0.6827 3.2631 53 1 8.0249 0.8686 1.5168 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 ZINC000830600310.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 06:10:46 Heat of formation + Delta-G solvation = -150.407672 kcal Electronic energy + Delta-G solvation = -31395.751472 eV Core-core repulsion = 27266.267048 eV Total energy + Delta-G solvation = -4129.484425 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.71 seconds Orbital eigenvalues (eV) -40.60041 -39.48273 -37.73519 -37.06868 -36.09099 -35.15150 -32.96826 -31.83827 -30.88445 -30.52051 -27.59962 -27.38616 -26.01695 -24.36527 -23.54555 -22.99668 -21.91916 -21.11726 -20.59274 -19.62928 -18.43385 -17.83085 -16.82081 -16.43001 -16.19458 -15.76445 -15.67783 -15.33951 -14.97181 -14.81652 -14.52183 -14.37456 -14.08791 -13.82748 -13.58799 -13.40795 -13.09305 -12.58789 -12.53111 -12.37619 -12.25397 -12.15354 -11.80443 -11.76875 -11.63976 -11.59226 -11.45031 -11.31827 -11.18181 -11.15660 -10.96226 -10.89156 -10.66488 -10.57455 -10.51691 -10.23427 -10.10226 -10.04364 -9.87497 -9.68842 -8.89233 -8.54117 -8.33351 -7.69845 -6.20326 -4.26658 2.21516 2.99863 3.20445 3.28529 3.30397 3.42870 3.82836 4.11965 4.31284 4.72595 4.82628 4.97579 5.09547 5.12690 5.15928 5.29339 5.31261 5.38658 5.43295 5.47515 5.55792 5.58892 5.61903 5.65763 5.69662 5.72750 5.74770 5.79987 5.82183 5.90811 5.99141 6.03765 6.13024 6.20021 6.27032 6.27682 6.42019 6.44419 6.50828 6.52976 6.64437 6.71877 6.84059 6.93502 7.05279 7.08278 7.21018 7.55634 7.74706 7.88482 8.04393 8.36808 8.78053 9.04547 9.40310 10.86084 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.006515 B = 0.004423 C = 0.002801 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 4296.911347 B = 6329.224040 C = 9992.289129 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.025 3.975 2 N -0.548 5.548 3 C 0.022 3.978 4 C 0.059 3.941 5 C -0.128 4.128 6 C 0.122 3.878 7 N -0.593 5.593 8 C 0.235 3.765 9 C -0.533 4.533 10 H 0.061 0.939 11 C 0.068 3.932 12 N -0.889 5.889 13 Si 0.892 3.108 14 H -0.280 1.280 15 H -0.285 1.285 16 H -0.272 1.272 17 C 0.522 3.478 18 O -0.573 6.573 19 C -0.098 4.098 20 H 0.098 0.902 21 C -0.117 4.117 22 C -0.113 4.113 23 C -0.109 4.109 24 C -0.078 4.078 25 H 0.111 0.889 26 C 0.482 3.518 27 O -0.513 6.513 28 O -0.518 6.518 29 C -0.084 4.084 30 H 0.022 0.978 31 H 0.065 0.935 32 H 0.068 0.932 33 H 0.073 0.927 34 H 0.063 0.937 35 H 0.024 0.976 36 H 0.075 0.925 37 H 0.033 0.967 38 H 0.061 0.939 39 H 0.073 0.927 40 H 0.077 0.923 41 H 0.069 0.931 42 H 0.034 0.966 43 H 0.043 0.957 44 H 0.265 0.735 45 H 0.104 0.896 46 H 0.057 0.943 47 H 0.071 0.929 48 H 0.068 0.932 49 H 0.072 0.928 50 H 0.065 0.935 51 H 0.405 0.595 52 H 0.080 0.920 53 H 0.068 0.932 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.634 9.446 -0.066 9.586 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 -0.123 4.123 2 N -0.272 5.272 3 C -0.126 4.126 4 C -0.069 4.069 5 C -0.167 4.167 6 C -0.003 4.003 7 N -0.322 5.322 8 C 0.115 3.885 9 C -0.572 4.572 10 H 0.079 0.921 11 C -0.135 4.135 12 N -0.527 5.527 13 Si 0.719 3.281 14 H -0.206 1.206 15 H -0.211 1.211 16 H -0.197 1.197 17 C 0.310 3.690 18 O -0.454 6.454 19 C -0.119 4.119 20 H 0.116 0.884 21 C -0.154 4.154 22 C -0.150 4.150 23 C -0.147 4.147 24 C -0.097 4.097 25 H 0.129 0.871 26 C 0.325 3.675 27 O -0.401 6.401 28 O -0.329 6.329 29 C -0.122 4.122 30 H 0.041 0.959 31 H 0.084 0.916 32 H 0.086 0.914 33 H 0.091 0.909 34 H 0.082 0.918 35 H 0.042 0.958 36 H 0.094 0.906 37 H 0.051 0.949 38 H 0.080 0.920 39 H 0.091 0.909 40 H 0.096 0.904 41 H 0.088 0.912 42 H 0.052 0.948 43 H 0.060 0.940 44 H 0.075 0.925 45 H 0.122 0.878 46 H 0.076 0.924 47 H 0.090 0.910 48 H 0.087 0.913 49 H 0.091 0.909 50 H 0.084 0.916 51 H 0.263 0.737 52 H 0.099 0.901 53 H 0.087 0.913 Dipole moment (debyes) X Y Z Total from point charges 1.274 9.397 -0.256 9.486 hybrid contribution 0.042 0.064 1.183 1.185 sum 1.316 9.461 0.926 9.596 Atomic orbital electron populations 1.22367 0.87684 1.02162 1.00117 1.61972 1.07474 1.13956 1.43760 1.22426 1.01486 0.88702 0.99997 1.22081 0.96073 0.97989 0.90793 1.21944 0.93667 1.01023 1.00093 1.21178 0.81593 1.00100 0.97406 1.48180 1.05097 1.24008 1.54957 1.19495 0.95482 0.81265 0.92224 1.21440 1.44365 0.95486 0.95906 0.92079 1.24904 0.95030 0.98476 0.95139 1.69918 1.43481 1.25163 1.14123 0.86591 0.77886 0.82256 0.81349 1.20601 1.21084 1.19717 1.20369 0.88406 0.81385 0.78826 1.90588 1.79518 1.34636 1.40706 1.21208 0.92132 0.96168 1.02389 0.88375 1.21621 0.94774 1.02132 0.96921 1.21497 0.95593 0.95095 1.02833 1.21572 0.99756 0.95856 0.97506 1.21122 0.96220 0.89142 1.03184 0.87149 1.23717 0.79641 0.92558 0.71625 1.90725 1.63478 1.41218 1.44669 1.84566 1.25711 1.38669 1.83991 1.21273 0.90374 0.96474 1.04123 0.95923 0.91640 0.91351 0.90864 0.91775 0.95788 0.90607 0.94865 0.92039 0.90862 0.90414 0.91239 0.94785 0.93967 0.92533 0.87790 0.92378 0.91022 0.91316 0.90887 0.91577 0.73675 0.90145 0.91326 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 0.27 9.57 60.06 0.57 0.84 16 2 N -0.55 -7.26 5.02 -251.26 -1.26 -8.52 16 3 C 0.02 0.27 9.32 60.06 0.56 0.83 16 4 C 0.06 0.82 4.96 -3.83 -0.02 0.80 16 5 C -0.13 -2.07 5.46 -26.73 -0.15 -2.22 16 6 C 0.12 2.21 5.46 -4.04 -0.02 2.18 16 7 N -0.59 -12.01 2.46 -175.06 -0.43 -12.44 16 8 C 0.24 5.25 4.99 -5.20 -0.03 5.23 16 9 C -0.53 -12.95 7.52 -34.44 -0.26 -13.21 16 10 H 0.06 1.53 7.81 -52.48 -0.41 1.12 16 11 C 0.07 1.69 5.46 -17.82 -0.10 1.59 16 12 N -0.89 -23.27 13.29 55.43 0.74 -22.53 16 13 Si 0.89 19.66 29.54 -169.99 -5.02 14.64 16 14 H -0.28 -6.23 7.11 56.52 0.40 -5.83 16 15 H -0.29 -6.28 7.11 56.52 0.40 -5.88 16 16 H -0.27 -5.96 7.11 56.52 0.40 -5.56 16 17 C 0.52 10.58 6.75 -10.98 -0.07 10.51 16 18 O -0.57 -12.87 15.69 5.56 0.09 -12.78 16 19 C -0.10 -1.70 1.81 -91.77 -0.17 -1.87 16 20 H 0.10 1.72 6.06 -51.93 -0.31 1.40 16 21 C -0.12 -1.96 5.17 -26.73 -0.14 -2.09 16 22 C -0.11 -1.53 5.92 -26.73 -0.16 -1.69 16 23 C -0.11 -1.31 5.14 -26.73 -0.14 -1.45 16 24 C -0.08 -1.01 2.63 -91.77 -0.24 -1.25 16 25 H 0.11 1.29 8.14 -51.93 -0.42 0.87 16 26 C 0.48 6.30 7.63 36.01 0.27 6.58 16 27 O -0.51 -8.39 16.74 -18.75 -0.31 -8.70 16 28 O -0.52 -5.11 13.33 -39.25 -0.52 -5.63 16 29 C -0.08 -1.34 3.34 -26.73 -0.09 -1.43 16 30 H 0.02 0.23 8.14 -51.93 -0.42 -0.19 16 31 H 0.06 0.62 8.12 -51.93 -0.42 0.19 16 32 H 0.07 0.69 8.12 -51.93 -0.42 0.27 16 33 H 0.07 0.96 6.47 -51.93 -0.34 0.63 16 34 H 0.06 0.68 8.12 -51.92 -0.42 0.25 16 35 H 0.02 0.28 8.14 -51.93 -0.42 -0.14 16 36 H 0.08 1.00 8.06 -51.93 -0.42 0.59 16 37 H 0.03 0.46 8.12 -51.93 -0.42 0.04 16 38 H 0.06 1.05 6.55 -51.93 -0.34 0.71 16 39 H 0.07 1.26 8.14 -51.93 -0.42 0.84 16 40 H 0.08 1.40 8.07 -51.93 -0.42 0.98 16 41 H 0.07 1.29 7.36 -51.93 -0.38 0.91 16 42 H 0.03 0.82 8.10 -51.93 -0.42 0.40 16 43 H 0.04 0.96 5.64 -51.93 -0.29 0.67 16 44 H 0.26 6.66 8.31 -40.82 -0.34 6.32 16 45 H 0.10 2.03 6.03 -51.93 -0.31 1.72 16 46 H 0.06 0.98 8.14 -51.93 -0.42 0.55 16 47 H 0.07 0.99 8.14 -51.93 -0.42 0.56 16 48 H 0.07 0.86 8.14 -51.93 -0.42 0.44 16 49 H 0.07 0.76 8.11 -51.93 -0.42 0.34 16 50 H 0.07 0.80 8.14 -51.93 -0.42 0.38 16 51 H 0.41 2.25 9.10 45.56 0.41 2.67 16 52 H 0.08 1.42 7.82 -51.93 -0.41 1.01 16 53 H 0.07 1.14 8.10 -51.93 -0.42 0.72 16 LS Contribution 417.71 15.07 6.29 6.29 Total: -1.00 -30.05 417.71 -9.28 -39.33 By element: Atomic # 1 Polarization: 15.67 SS G_CDS: -8.68 Total: 6.99 kcal Atomic # 6 Polarization: 3.52 SS G_CDS: -0.16 Total: 3.36 kcal Atomic # 7 Polarization: -42.54 SS G_CDS: -0.95 Total: -43.49 kcal Atomic # 8 Polarization: -26.37 SS G_CDS: -0.75 Total: -27.12 kcal Atomic # 14 Polarization: 19.66 SS G_CDS: -5.02 Total: 14.64 kcal Total LS contribution 6.29 Total: 6.29 kcal Total: -30.05 -9.28 -39.33 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. ZINC000830600310.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 -111.080 kcal (2) G-P(sol) polarization free energy of solvation -30.049 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -141.129 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.278 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.327 kcal (6) G-S(sol) free energy of system = (1) + (5) -150.408 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.71 seconds