Wall clock time and date at job start Sat Apr 11 2020 06:09:50 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 1.53002 * 1 3 3 C 1.53005 * 109.47197 * 2 1 4 4 C 1.50696 * 109.46999 * 240.00423 * 2 1 3 5 5 H 1.07999 * 119.99822 * 239.99947 * 4 2 1 6 6 C 1.37876 * 120.00339 * 59.99801 * 4 2 1 7 7 N 1.31514 * 119.99769 * 359.97438 * 6 4 2 8 8 Si 1.86800 * 120.00300 * 179.97438 * 6 4 2 9 9 H 1.48504 * 109.47118 * 89.99838 * 8 6 4 10 10 H 1.48499 * 109.47293 * 209.99842 * 8 6 4 11 11 H 1.48504 * 109.47104 * 330.00087 * 8 6 4 12 12 C 1.52993 * 109.47392 * 119.99957 * 2 1 3 13 13 N 1.46496 * 109.47551 * 300.00334 * 12 2 1 14 14 C 1.34777 * 120.00258 * 180.02562 * 13 12 2 15 15 O 1.21579 * 119.99978 * 359.97438 * 14 13 12 16 16 N 1.34784 * 119.99908 * 179.97438 * 14 13 12 17 17 C 1.46494 * 119.99635 * 179.97438 * 16 14 13 18 18 H 1.09000 * 109.54436 * 325.17316 * 17 16 14 19 19 C 1.53173 * 109.54534 * 85.44315 * 17 16 14 20 20 C 1.53098 * 109.15813 * 176.90359 * 19 17 16 21 21 O 1.42910 * 109.40514 * 302.32639 * 20 19 17 22 22 C 1.42820 * 114.14733 * 61.03180 * 21 20 19 23 23 C 1.53103 * 109.55747 * 59.27168 * 22 21 20 24 24 C 1.53105 * 109.16538 * 63.04269 * 23 22 21 25 25 O 1.42900 * 109.42005 * 57.49835 * 24 23 22 26 26 C 1.42905 * 114.12223 * 298.83479 * 25 24 23 27 27 C 1.53113 * 109.39382 * 61.18786 * 26 25 24 28 28 C 1.53006 * 109.58405 * 299.08586 * 22 21 20 29 29 H 1.09002 * 109.47097 * 299.99802 * 1 2 3 30 30 H 1.09001 * 109.47142 * 59.99766 * 1 2 3 31 31 H 1.08996 * 109.46698 * 179.97438 * 1 2 3 32 32 H 1.08992 * 109.47061 * 180.02562 * 3 2 1 33 33 H 1.08998 * 109.47061 * 300.00893 * 3 2 1 34 34 H 1.09002 * 109.46935 * 60.00099 * 3 2 1 35 35 H 0.97005 * 120.00032 * 180.02562 * 7 6 4 36 36 H 1.09000 * 109.47250 * 180.02562 * 12 2 1 37 37 H 1.09004 * 109.46862 * 60.00135 * 12 2 1 38 38 H 0.96999 * 119.99694 * 359.97438 * 13 12 2 39 39 H 0.96995 * 120.00015 * 359.72369 * 16 14 13 40 40 H 1.08993 * 109.52625 * 296.80939 * 19 17 16 41 41 H 1.09002 * 109.52084 * 57.00303 * 19 17 16 42 42 H 1.08996 * 109.48510 * 182.34017 * 20 19 17 43 43 H 1.09005 * 109.48814 * 62.31085 * 20 19 17 44 44 H 1.09001 * 109.51696 * 182.94717 * 23 22 21 45 45 H 1.08999 * 109.52223 * 303.13412 * 23 22 21 46 46 H 1.08997 * 109.48228 * 297.51346 * 24 23 22 47 47 H 1.09002 * 109.48552 * 177.49033 * 24 23 22 48 48 H 1.08998 * 109.48660 * 301.21210 * 26 25 24 49 49 H 1.09002 * 109.49767 * 181.16585 * 26 25 24 50 50 H 1.08993 * 109.52268 * 182.54967 * 27 26 25 51 51 H 1.08999 * 109.52514 * 62.35457 * 27 26 25 52 52 H 1.08994 * 109.51299 * 297.44654 * 28 22 21 53 53 H 1.09001 * 109.51194 * 177.28359 * 28 22 21 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 2.0401 1.4425 0.0000 4 6 2.0323 -0.7103 -1.2305 5 1 2.6532 -1.5884 -1.1314 6 6 1.6992 -0.2392 -2.4827 7 7 0.9427 0.8297 -2.6033 8 14 2.3224 -1.1193 -4.0080 9 1 1.3448 -2.1614 -4.4125 10 1 2.4871 -0.1400 -5.1121 11 1 3.6309 -1.7563 -3.7121 12 6 2.0401 -0.7212 1.2492 13 7 1.5518 -0.0307 2.4454 14 6 1.8779 -0.4909 3.6695 15 8 2.5769 -1.4794 3.7809 16 7 1.4290 0.1447 4.7700 17 6 1.7830 -0.3559 6.1005 18 1 1.8339 -1.4444 6.0788 19 6 3.1421 0.2143 6.5176 20 6 3.4676 -0.2517 7.9391 21 8 2.4280 0.1670 8.8258 22 6 1.1417 -0.3689 8.5125 23 6 1.1993 -1.8982 8.5560 24 6 1.5392 -2.3482 9.9794 25 8 0.5643 -1.8305 10.8869 26 6 0.5007 -0.4033 10.9240 27 6 0.1181 0.1248 9.5387 28 6 0.7229 0.0875 7.1135 29 1 -0.3633 0.5138 0.8900 30 1 -0.3633 0.5139 -0.8900 31 1 -0.3632 -1.0277 -0.0005 32 1 3.1300 1.4425 -0.0005 33 1 1.6766 1.9564 -0.8899 34 1 1.6767 1.9563 0.8900 35 1 0.7080 1.1610 -3.4844 36 1 3.1301 -0.7208 1.2494 37 1 1.6767 -1.7489 1.2491 38 1 0.9944 0.7581 2.3564 39 1 0.8746 0.9356 4.6810 40 1 3.9119 -0.1408 5.8326 41 1 3.1038 1.3034 6.4911 42 1 4.4143 0.1848 8.2570 43 1 3.5444 -1.3389 7.9567 44 1 0.2315 -2.3074 8.2659 45 1 1.9669 -2.2535 7.8685 46 1 2.5256 -1.9739 10.2531 47 1 1.5377 -3.4372 10.0265 48 1 1.4735 -0.0033 11.2097 49 1 -0.2486 -0.0914 11.6516 50 1 0.1132 1.2146 9.5530 51 1 -0.8727 -0.2415 9.2701 52 1 0.6344 1.1737 7.0962 53 1 -0.2367 -0.3610 6.8563 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 ZINC000591856958.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 06:09:50 Heat of formation + Delta-G solvation = -135.134881 kcal Electronic energy + Delta-G solvation = -31213.450871 eV Core-core repulsion = 27084.628724 eV Total energy + Delta-G solvation = -4128.822147 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.63 seconds Orbital eigenvalues (eV) -41.13623 -39.58036 -38.08877 -36.55109 -35.08625 -33.58637 -33.30902 -31.80541 -31.35072 -30.44968 -28.97272 -25.73432 -25.70551 -25.12103 -24.24092 -24.02089 -23.58472 -21.28084 -20.51565 -19.65425 -18.79378 -18.13701 -17.11982 -16.49672 -16.27180 -15.87718 -15.85479 -15.58893 -15.29937 -14.94045 -14.89648 -14.73769 -14.25412 -13.97505 -13.80102 -13.39068 -13.08845 -12.88891 -12.86827 -12.79143 -12.68386 -12.27057 -12.18578 -11.74614 -11.71331 -11.43892 -11.38939 -11.20686 -11.13124 -10.87172 -10.78160 -10.69949 -10.48529 -10.38835 -10.21975 -9.99145 -9.86246 -9.64011 -9.56903 -9.30804 -9.02114 -8.79955 -8.42494 -8.21825 -6.02919 -4.12793 2.99440 3.27699 3.34713 3.37084 3.39146 3.58126 3.59529 4.16910 4.35159 4.36171 4.40645 4.58689 4.63029 4.64395 4.82462 4.89561 4.93305 5.04442 5.05894 5.08852 5.23904 5.25087 5.34214 5.36646 5.43704 5.44649 5.57981 5.62086 5.64373 5.70566 5.81262 5.91894 6.05144 6.20634 6.35349 6.49610 6.62228 6.78551 6.81723 6.88291 6.89523 6.92514 7.02092 7.08156 7.28755 7.40086 7.55020 7.69118 8.00307 8.11678 8.37281 8.46273 8.87015 9.01794 9.52950 10.98514 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.030479 B = 0.002003 C = 0.001990 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 918.443506 B =13974.923343 C =14064.281058 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.130 4.130 2 C 0.056 3.944 3 C -0.130 4.130 4 C -0.505 4.505 5 H 0.058 0.942 6 C 0.065 3.935 7 N -0.886 5.886 8 Si 0.894 3.106 9 H -0.281 1.281 10 H -0.287 1.287 11 H -0.274 1.274 12 C 0.151 3.849 13 N -0.733 5.733 14 C 0.698 3.302 15 O -0.600 6.600 16 N -0.750 5.750 17 C 0.166 3.834 18 H 0.089 0.911 19 C -0.168 4.168 20 C 0.061 3.939 21 O -0.371 6.371 22 C 0.124 3.876 23 C -0.187 4.187 24 C 0.066 3.934 25 O -0.385 6.385 26 C 0.063 3.937 27 C -0.139 4.139 28 C -0.149 4.149 29 H 0.005 0.995 30 H 0.085 0.915 31 H 0.026 0.974 32 H 0.026 0.974 33 H 0.085 0.915 34 H 0.005 0.995 35 H 0.260 0.740 36 H 0.052 0.948 37 H 0.052 0.948 38 H 0.393 0.607 39 H 0.393 0.607 40 H 0.082 0.918 41 H 0.072 0.928 42 H 0.097 0.903 43 H 0.055 0.945 44 H 0.084 0.916 45 H 0.084 0.916 46 H 0.055 0.945 47 H 0.093 0.907 48 H 0.059 0.941 49 H 0.093 0.907 50 H 0.082 0.918 51 H 0.085 0.915 52 H 0.078 0.922 53 H 0.080 0.920 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.530 1.398 24.923 25.009 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 -0.187 4.187 2 C 0.055 3.945 3 C -0.187 4.187 4 C -0.543 4.543 5 H 0.076 0.924 6 C -0.136 4.136 7 N -0.525 5.525 8 Si 0.722 3.278 9 H -0.207 1.207 10 H -0.213 1.213 11 H -0.199 1.199 12 C 0.028 3.972 13 N -0.387 5.387 14 C 0.398 3.602 15 O -0.479 6.479 16 N -0.405 5.405 17 C 0.060 3.940 18 H 0.107 0.893 19 C -0.207 4.207 20 C -0.016 4.016 21 O -0.290 6.290 22 C 0.084 3.916 23 C -0.224 4.224 24 C -0.011 4.011 25 O -0.303 6.303 26 C -0.014 4.014 27 C -0.177 4.177 28 C -0.187 4.187 29 H 0.024 0.976 30 H 0.104 0.896 31 H 0.045 0.955 32 H 0.045 0.955 33 H 0.103 0.897 34 H 0.024 0.976 35 H 0.070 0.930 36 H 0.070 0.930 37 H 0.070 0.930 38 H 0.228 0.772 39 H 0.226 0.774 40 H 0.100 0.900 41 H 0.091 0.909 42 H 0.115 0.885 43 H 0.074 0.926 44 H 0.102 0.898 45 H 0.102 0.898 46 H 0.074 0.926 47 H 0.111 0.889 48 H 0.077 0.923 49 H 0.111 0.889 50 H 0.101 0.899 51 H 0.104 0.896 52 H 0.097 0.903 53 H 0.099 0.901 Dipole moment (debyes) X Y Z Total from point charges -1.044 0.582 25.083 25.112 hybrid contribution -0.035 0.385 -1.581 1.628 sum -1.079 0.968 23.502 23.547 Atomic orbital electron populations 1.21820 0.97792 0.99148 0.99985 1.18365 0.92786 0.92778 0.90577 1.21816 0.98565 0.98364 0.99980 1.20980 1.31423 1.12062 0.89853 0.92424 1.24884 0.94903 0.94929 0.98865 1.69806 1.36724 1.22764 1.23202 0.86567 0.79333 0.79373 0.82570 1.20717 1.21283 1.19900 1.21578 0.97833 0.95397 0.82412 1.45521 1.55545 1.32991 1.04618 1.16085 0.80470 0.82947 0.80698 1.90870 1.43111 1.27843 1.86081 1.45190 1.57625 1.33103 1.04587 1.20707 0.92933 0.99657 0.80696 0.89261 1.22649 0.98779 1.01987 0.97252 1.22598 0.90683 0.99420 0.88866 1.87924 1.16276 1.71596 1.53216 1.21312 0.84472 0.92264 0.93535 1.22868 1.04274 0.96304 0.98997 1.22494 0.91814 0.98973 0.87796 1.87913 1.59252 1.20683 1.62476 1.22531 1.01747 0.81029 0.96044 1.22189 0.98031 1.02202 0.95266 1.22461 0.99484 1.02579 0.94192 0.97581 0.89644 0.95465 0.95466 0.89652 0.97584 0.93028 0.93002 0.92995 0.77212 0.77370 0.89952 0.90943 0.88518 0.92637 0.89781 0.89772 0.92646 0.88874 0.92281 0.88920 0.89892 0.89607 0.90341 0.90109 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 -0.13 -2.91 8.08 37.16 0.30 -2.61 16 2 C 0.06 1.29 0.50 -155.66 -0.08 1.21 16 3 C -0.13 -2.90 8.08 37.16 0.30 -2.60 16 4 C -0.50 -13.19 8.01 -34.44 -0.28 -13.46 16 5 H 0.06 1.52 7.74 -52.49 -0.41 1.12 16 6 C 0.07 1.71 5.15 -17.82 -0.09 1.62 16 7 N -0.89 -23.53 9.35 55.43 0.52 -23.01 16 8 Si 0.89 20.70 29.54 -169.99 -5.02 15.68 16 9 H -0.28 -6.51 7.11 56.52 0.40 -6.11 16 10 H -0.29 -6.62 7.11 56.52 0.40 -6.22 16 11 H -0.27 -6.36 7.11 56.52 0.40 -5.95 16 12 C 0.15 3.22 4.50 -4.05 -0.02 3.20 16 13 N -0.73 -12.99 4.96 -65.23 -0.32 -13.32 16 14 C 0.70 12.12 8.54 -86.91 -0.74 11.38 16 15 O -0.60 -12.67 16.00 5.30 0.08 -12.58 16 16 N -0.75 -9.47 5.09 -58.50 -0.30 -9.77 16 17 C 0.17 1.84 2.24 -67.75 -0.15 1.69 16 18 H 0.09 1.16 6.16 -51.93 -0.32 0.84 16 19 C -0.17 -1.77 5.72 -26.59 -0.15 -1.93 16 20 C 0.06 0.55 6.52 37.21 0.24 0.79 16 21 O -0.37 -3.47 9.20 -35.23 -0.32 -3.79 16 22 C 0.12 1.04 0.68 -90.50 -0.06 0.98 16 23 C -0.19 -1.56 4.26 -26.62 -0.11 -1.68 16 24 C 0.07 0.55 6.70 37.21 0.25 0.80 16 25 O -0.38 -3.69 10.76 -35.23 -0.38 -4.07 16 26 C 0.06 0.48 6.70 37.22 0.25 0.73 16 27 C -0.14 -1.00 5.15 -26.61 -0.14 -1.14 16 28 C -0.15 -1.27 4.39 -26.63 -0.12 -1.39 16 29 H 0.01 0.10 6.86 -51.93 -0.36 -0.25 16 30 H 0.08 2.12 6.07 -51.93 -0.32 1.80 16 31 H 0.03 0.60 8.14 -51.93 -0.42 0.18 16 32 H 0.03 0.60 8.14 -51.93 -0.42 0.18 16 33 H 0.08 2.12 6.07 -51.93 -0.32 1.80 16 34 H 0.01 0.10 6.86 -51.93 -0.36 -0.25 16 35 H 0.26 6.66 8.31 -40.82 -0.34 6.32 16 36 H 0.05 1.17 8.14 -51.93 -0.42 0.75 16 37 H 0.05 1.17 8.14 -51.93 -0.42 0.75 16 38 H 0.39 6.25 6.18 -40.82 -0.25 6.00 16 39 H 0.39 4.00 8.62 -40.82 -0.35 3.65 16 40 H 0.08 1.04 8.14 -51.93 -0.42 0.62 16 41 H 0.07 0.75 8.14 -51.93 -0.42 0.33 16 42 H 0.10 0.74 8.14 -51.93 -0.42 0.32 16 43 H 0.06 0.48 6.30 -51.93 -0.33 0.15 16 44 H 0.08 0.70 8.14 -51.93 -0.42 0.28 16 45 H 0.08 0.74 5.03 -51.93 -0.26 0.48 16 46 H 0.06 0.46 7.82 -51.93 -0.41 0.05 16 47 H 0.09 0.67 8.14 -51.93 -0.42 0.24 16 48 H 0.06 0.47 7.82 -51.93 -0.41 0.06 16 49 H 0.09 0.55 8.14 -51.93 -0.42 0.13 16 50 H 0.08 0.54 8.14 -51.93 -0.42 0.11 16 51 H 0.09 0.57 8.14 -51.93 -0.42 0.15 16 52 H 0.08 0.63 8.14 -51.93 -0.42 0.20 16 53 H 0.08 0.66 8.14 -51.93 -0.42 0.24 16 LS Contribution 395.26 15.07 5.96 5.96 Total: -1.00 -29.82 395.26 -9.51 -39.33 By element: Atomic # 1 Polarization: 17.11 SS G_CDS: -9.13 Total: 7.98 kcal Atomic # 6 Polarization: -1.82 SS G_CDS: -0.60 Total: -2.41 kcal Atomic # 7 Polarization: -45.99 SS G_CDS: -0.10 Total: -46.09 kcal Atomic # 8 Polarization: -19.82 SS G_CDS: -0.62 Total: -20.44 kcal Atomic # 14 Polarization: 20.70 SS G_CDS: -5.02 Total: 15.68 kcal Total LS contribution 5.96 Total: 5.96 kcal Total: -29.82 -9.51 -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. ZINC000591856958.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 -95.802 kcal (2) G-P(sol) polarization free energy of solvation -29.822 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -125.624 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.511 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.333 kcal (6) G-S(sol) free energy of system = (1) + (5) -135.135 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.63 seconds