Wall clock time and date at job start Sat Apr 11 2020 06:09:41 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 1.53001 * 1 3 3 C 1.53005 * 109.47069 * 2 1 4 4 N 1.46496 * 109.47501 * 120.00000 * 2 1 3 5 5 C 1.46497 * 119.99978 * 113.48887 * 4 2 1 6 6 C 1.50707 * 109.47055 * 87.81954 * 5 4 2 7 7 H 1.07999 * 119.99189 * 359.97438 * 6 5 4 8 8 C 1.37871 * 120.00300 * 180.02562 * 6 5 4 9 9 N 1.31518 * 119.99906 * 359.97438 * 8 6 5 10 10 Si 1.86800 * 120.00188 * 179.97438 * 8 6 5 11 11 H 1.48507 * 109.46942 * 59.99642 * 10 8 6 12 12 H 1.48503 * 109.47366 * 179.97438 * 10 8 6 13 13 H 1.48497 * 109.46895 * 300.00126 * 10 8 6 14 14 C 1.34778 * 120.00241 * 293.49993 * 4 2 1 15 15 O 1.21280 * 119.99889 * 4.61511 * 14 4 2 16 16 C 1.50696 * 120.00316 * 184.61846 * 14 4 2 17 17 H 1.09004 * 109.50999 * 44.16412 * 16 14 4 18 18 C 1.53303 * 109.51070 * 284.06730 * 16 14 4 19 19 N 1.47169 * 108.37359 * 187.82411 * 18 16 14 20 20 C 1.34770 * 120.94097 * 230.47119 * 19 18 16 21 21 O 1.21277 * 120.00395 * 5.12776 * 20 19 18 22 22 C 1.50697 * 119.99943 * 185.12830 * 20 19 18 23 23 C 1.53000 * 109.47074 * 172.28668 * 22 20 19 24 24 C 1.53006 * 109.47308 * 292.28784 * 22 20 19 25 25 C 1.53002 * 109.47219 * 52.28685 * 22 20 19 26 26 C 1.47152 * 118.07277 * 50.45298 * 19 18 16 27 27 C 1.53294 * 108.38537 * 309.49331 * 26 19 18 28 28 O 1.42958 * 109.22321 * 52.30930 * 27 26 19 29 29 H 1.08995 * 109.46843 * 297.98779 * 1 2 3 30 30 H 1.09004 * 109.46849 * 57.98572 * 1 2 3 31 31 H 1.08998 * 109.46742 * 177.98836 * 1 2 3 32 32 H 1.09006 * 109.46979 * 240.00201 * 2 1 3 33 33 H 1.09006 * 109.46666 * 184.36516 * 3 2 1 34 34 H 1.09001 * 109.47020 * 304.36259 * 3 2 1 35 35 H 1.08997 * 109.47072 * 64.36553 * 3 2 1 36 36 H 1.08996 * 109.47567 * 207.81758 * 5 4 2 37 37 H 1.09001 * 109.47517 * 327.82074 * 5 4 2 38 38 H 0.97003 * 119.99340 * 179.97438 * 9 8 6 39 39 H 1.08998 * 109.67599 * 307.49290 * 18 16 14 40 40 H 1.08994 * 109.68047 * 68.04965 * 18 16 14 41 41 H 1.09001 * 109.47058 * 60.00137 * 23 22 20 42 42 H 1.09004 * 109.47138 * 179.97438 * 23 22 20 43 43 H 1.08996 * 109.47417 * 299.99450 * 23 22 20 44 44 H 1.08991 * 109.46983 * 56.52941 * 24 22 20 45 45 H 1.08995 * 109.47123 * 176.53578 * 24 22 20 46 46 H 1.09004 * 109.46743 * 296.53170 * 24 22 20 47 47 H 1.09003 * 109.46974 * 67.29386 * 25 22 20 48 48 H 1.08998 * 109.46953 * 187.29237 * 25 22 20 49 49 H 1.08992 * 109.46923 * 307.29009 * 25 22 20 50 50 H 1.09006 * 109.67979 * 189.77481 * 26 19 18 51 51 H 1.08995 * 109.68777 * 69.22314 * 26 19 18 52 52 H 1.08996 * 109.51159 * 292.38128 * 27 26 19 53 53 H 1.09002 * 109.50916 * 172.23031 * 27 26 19 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 2.0400 1.4425 0.0000 4 7 2.0184 -0.6906 1.1961 5 6 2.7394 -1.9593 1.0664 6 6 4.2088 -1.6847 0.8751 7 1 4.5694 -0.6669 0.8521 8 6 5.0926 -2.7327 0.7285 9 7 4.6534 -3.9721 0.7561 10 14 6.9139 -2.3924 0.4908 11 1 7.4350 -1.6449 1.6635 12 1 7.6448 -3.6784 0.3594 13 1 7.1098 -1.5832 -0.7388 14 6 1.8043 -0.1589 2.4159 15 8 1.1359 0.8466 2.5303 16 6 2.3956 -0.8136 3.6377 17 1 3.4300 -1.0925 3.4367 18 6 1.5863 -2.0674 3.9890 19 7 2.0625 -2.5791 5.2840 20 6 2.3997 -3.8751 5.4354 21 8 2.4020 -4.6172 4.4761 22 6 2.7738 -4.4024 6.7966 23 6 2.9231 -5.9237 6.7309 24 6 4.0991 -3.7785 7.2386 25 6 1.6792 -4.0403 7.8024 26 6 2.1601 -1.6347 6.4083 27 6 2.9421 -0.4028 5.9384 28 8 2.3520 0.0993 4.7370 29 1 -0.3633 0.4823 0.9074 30 1 -0.3633 0.5448 -0.8714 31 1 -0.3633 -1.0270 -0.0361 32 1 1.8933 -0.5138 -0.8901 33 1 3.1273 1.4435 -0.0782 34 1 1.6142 1.9784 -0.8483 35 1 1.7420 1.9333 0.9265 36 1 2.5952 -2.5531 1.9689 37 1 2.3573 -2.5080 0.2056 38 1 5.2752 -4.7093 0.6526 39 1 0.5289 -1.8132 4.0618 40 1 1.7302 -2.8249 3.2186 41 1 3.7030 -6.1816 6.0144 42 1 3.1941 -6.3050 7.7155 43 1 1.9789 -6.3682 6.4162 44 1 4.0114 -2.6922 7.2261 45 1 4.3389 -4.1121 8.2482 46 1 4.8913 -4.0869 6.5564 47 1 0.7682 -4.5879 7.5607 48 1 2.0069 -4.3059 8.8074 49 1 1.4826 -2.9693 7.7555 50 1 2.6836 -2.1066 7.2398 51 1 1.1607 -1.3363 6.7250 52 1 3.9784 -0.6809 5.7465 53 1 2.9077 0.3663 6.7100 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 ZINC001361691887.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 06:09:41 Heat of formation + Delta-G solvation = -93.516454 kcal Electronic energy + Delta-G solvation = -33248.048112 eV Core-core repulsion = 29121.030676 eV Total energy + Delta-G solvation = -4127.017436 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.68 seconds Orbital eigenvalues (eV) -40.80475 -39.51472 -37.94670 -35.86594 -35.36586 -34.41525 -33.32246 -32.07143 -30.62634 -27.93808 -27.52253 -27.37131 -26.96094 -26.62742 -24.72559 -23.39516 -22.81473 -21.66877 -20.74418 -18.98799 -18.19058 -16.76275 -16.55477 -16.47474 -16.15519 -15.95717 -15.44197 -15.06792 -14.82237 -14.57941 -14.31184 -14.19074 -14.04280 -13.91117 -13.71467 -13.06769 -12.79080 -12.68428 -12.61544 -12.44831 -12.33121 -12.27498 -12.08470 -11.85639 -11.76923 -11.65910 -11.50404 -11.35414 -11.20172 -11.03361 -10.97829 -10.93224 -10.72185 -10.65757 -10.45870 -10.34888 -10.09845 -9.85431 -9.65364 -9.37796 -8.76826 -8.53060 -8.32149 -7.71210 -6.13229 -4.22241 2.81926 2.93728 3.24056 3.24309 3.30103 3.33718 3.50440 4.28713 4.34961 4.43338 4.65095 4.75269 4.83268 4.92737 5.00228 5.13744 5.17707 5.24888 5.28710 5.36947 5.48890 5.51605 5.52786 5.58330 5.65081 5.69000 5.71363 5.75543 5.80959 5.83419 5.87718 5.94469 6.03381 6.12243 6.12691 6.16236 6.21300 6.28036 6.36527 6.45306 6.52264 6.75599 6.80408 6.88571 7.16324 7.31033 7.51931 7.61546 7.78156 8.06772 8.31751 8.38938 8.80693 8.98680 9.45009 10.92363 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.009320 B = 0.005119 C = 0.003918 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3003.430521 B = 5468.553207 C = 7145.433348 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.165 4.165 2 C 0.150 3.850 3 C -0.170 4.170 4 N -0.586 5.586 5 C 0.226 3.774 6 C -0.545 4.545 7 H 0.060 0.940 8 C 0.068 3.932 9 N -0.879 5.879 10 Si 0.893 3.107 11 H -0.277 1.277 12 H -0.286 1.286 13 H -0.275 1.275 14 C 0.529 3.471 15 O -0.547 6.547 16 C 0.063 3.937 17 H 0.104 0.896 18 C 0.088 3.912 19 N -0.612 5.612 20 C 0.521 3.479 21 O -0.514 6.514 22 C -0.084 4.084 23 C -0.126 4.126 24 C -0.153 4.153 25 C -0.160 4.160 26 C 0.052 3.948 27 C 0.044 3.956 28 O -0.355 6.355 29 H 0.070 0.930 30 H 0.055 0.945 31 H 0.050 0.950 32 H 0.086 0.914 33 H 0.054 0.946 34 H 0.052 0.948 35 H 0.080 0.920 36 H 0.048 0.952 37 H 0.037 0.963 38 H 0.266 0.734 39 H 0.071 0.929 40 H 0.123 0.877 41 H 0.066 0.934 42 H 0.059 0.941 43 H 0.060 0.940 44 H 0.069 0.931 45 H 0.068 0.932 46 H 0.066 0.934 47 H 0.060 0.940 48 H 0.066 0.934 49 H 0.075 0.925 50 H 0.115 0.885 51 H 0.077 0.923 52 H 0.057 0.943 53 H 0.106 0.894 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.405 1.459 13.373 14.156 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 -0.223 4.223 2 C 0.047 3.953 3 C -0.227 4.227 4 N -0.318 5.318 5 C 0.106 3.894 6 C -0.584 4.584 7 H 0.078 0.922 8 C -0.136 4.136 9 N -0.516 5.516 10 Si 0.720 3.280 11 H -0.202 1.202 12 H -0.211 1.211 13 H -0.201 1.201 14 C 0.315 3.685 15 O -0.426 6.426 16 C 0.002 3.998 17 H 0.122 0.878 18 C -0.035 4.035 19 N -0.347 5.347 20 C 0.308 3.692 21 O -0.388 6.388 22 C -0.088 4.088 23 C -0.184 4.184 24 C -0.210 4.210 25 C -0.217 4.217 26 C -0.070 4.070 27 C -0.034 4.034 28 O -0.273 6.273 29 H 0.089 0.911 30 H 0.074 0.926 31 H 0.070 0.930 32 H 0.105 0.895 33 H 0.073 0.927 34 H 0.071 0.929 35 H 0.098 0.902 36 H 0.065 0.935 37 H 0.055 0.945 38 H 0.076 0.924 39 H 0.089 0.911 40 H 0.140 0.860 41 H 0.085 0.915 42 H 0.078 0.922 43 H 0.079 0.921 44 H 0.087 0.913 45 H 0.087 0.913 46 H 0.085 0.915 47 H 0.079 0.921 48 H 0.085 0.915 49 H 0.093 0.907 50 H 0.132 0.868 51 H 0.095 0.905 52 H 0.076 0.924 53 H 0.124 0.876 Dipole moment (debyes) X Y Z Total from point charges -4.775 1.509 12.841 13.783 hybrid contribution 1.347 -0.236 -0.179 1.380 sum -3.428 1.273 12.662 13.180 Atomic orbital electron populations 1.22191 0.96068 1.01523 1.02527 1.20850 0.93235 0.93251 0.87987 1.22209 1.01105 0.96399 1.03019 1.48248 1.54712 1.24839 1.04001 1.19740 0.91370 0.79189 0.99065 1.21391 0.91789 0.93198 1.51980 0.92160 1.24938 0.98935 0.94912 0.94842 1.69930 1.35304 0.98220 1.48140 0.86641 0.84912 0.77530 0.78876 1.20239 1.21128 1.20090 1.19645 0.80469 0.84345 0.84027 1.90543 1.39954 1.25769 1.86352 1.22365 1.01928 0.88949 0.86600 0.87840 1.22353 0.97514 0.96788 0.86851 1.48009 1.66944 1.08565 1.11179 1.20586 0.76558 0.81259 0.90795 1.90795 1.50849 1.56136 1.40975 1.20756 0.97186 0.98045 0.92776 1.21655 1.03225 0.91876 1.01639 1.22148 0.95670 1.01054 1.02087 1.22308 0.97915 1.03176 0.98308 1.23073 1.02066 0.91291 0.90588 1.23033 0.96420 0.95869 0.88057 1.88022 1.80611 1.39839 1.18826 0.91126 0.92555 0.93040 0.89544 0.92721 0.92867 0.90171 0.93483 0.94453 0.92429 0.91075 0.85969 0.91472 0.92229 0.92114 0.91292 0.91311 0.91482 0.92057 0.91502 0.90654 0.86776 0.90511 0.92426 0.87605 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -0.16 -2.75 9.23 37.16 0.34 -2.40 16 2 C 0.15 2.84 3.26 -67.93 -0.22 2.61 16 3 C -0.17 -3.04 9.09 37.16 0.34 -2.71 16 4 N -0.59 -12.46 2.41 -167.47 -0.40 -12.87 16 5 C 0.23 5.43 4.73 -5.19 -0.02 5.40 16 6 C -0.55 -14.28 8.89 -34.44 -0.31 -14.58 16 7 H 0.06 1.60 7.81 -52.49 -0.41 1.19 16 8 C 0.07 1.83 5.46 -17.82 -0.10 1.73 16 9 N -0.88 -24.85 13.29 55.43 0.74 -24.12 16 10 Si 0.89 20.89 29.54 -169.99 -5.02 15.87 16 11 H -0.28 -6.42 7.11 56.52 0.40 -6.02 16 12 H -0.29 -6.65 7.11 56.52 0.40 -6.25 16 13 H -0.28 -6.38 7.11 56.52 0.40 -5.98 16 14 C 0.53 11.26 6.39 -10.99 -0.07 11.19 16 15 O -0.55 -12.28 12.78 -13.81 -0.18 -12.46 16 16 C 0.06 1.24 2.36 -27.73 -0.07 1.17 16 17 H 0.10 2.26 7.17 -51.93 -0.37 1.89 16 18 C 0.09 1.61 5.65 -3.52 -0.02 1.59 16 19 N -0.61 -9.56 3.01 -172.27 -0.52 -10.07 16 20 C 0.52 8.65 6.49 -10.99 -0.07 8.58 16 21 O -0.51 -11.05 15.45 5.56 0.09 -10.97 16 22 C -0.08 -1.00 0.75 -155.66 -0.12 -1.12 16 23 C -0.13 -1.51 7.80 37.16 0.29 -1.22 16 24 C -0.15 -1.55 8.17 37.16 0.30 -1.24 16 25 C -0.16 -1.44 8.09 37.16 0.30 -1.14 16 26 C 0.05 0.60 4.13 -3.53 -0.01 0.59 16 27 C 0.04 0.57 6.98 37.31 0.26 0.83 16 28 O -0.36 -6.38 9.97 -54.60 -0.54 -6.93 16 29 H 0.07 1.28 6.46 -51.93 -0.34 0.95 16 30 H 0.06 0.79 8.14 -51.93 -0.42 0.37 16 31 H 0.05 0.84 8.14 -51.93 -0.42 0.41 16 32 H 0.09 1.63 7.88 -51.93 -0.41 1.22 16 33 H 0.05 1.02 8.14 -51.93 -0.42 0.60 16 34 H 0.05 0.80 8.14 -51.93 -0.42 0.38 16 35 H 0.08 1.58 5.74 -51.93 -0.30 1.28 16 36 H 0.05 1.19 4.19 -51.93 -0.22 0.97 16 37 H 0.04 0.95 8.03 -51.93 -0.42 0.53 16 38 H 0.27 7.24 8.31 -40.82 -0.34 6.91 16 39 H 0.07 1.25 8.14 -51.93 -0.42 0.83 16 40 H 0.12 2.60 4.51 -51.93 -0.23 2.37 16 41 H 0.07 0.93 8.01 -51.93 -0.42 0.51 16 42 H 0.06 0.55 8.14 -51.93 -0.42 0.12 16 43 H 0.06 0.76 8.14 -51.93 -0.42 0.34 16 44 H 0.07 0.64 5.08 -51.93 -0.26 0.37 16 45 H 0.07 0.53 8.14 -51.93 -0.42 0.10 16 46 H 0.07 0.80 8.14 -51.93 -0.42 0.38 16 47 H 0.06 0.58 8.14 -51.93 -0.42 0.16 16 48 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 49 H 0.07 0.62 4.20 -51.93 -0.22 0.40 16 50 H 0.11 1.01 2.80 -51.93 -0.15 0.87 16 51 H 0.08 0.80 7.84 -51.93 -0.41 0.39 16 52 H 0.06 0.75 8.14 -51.93 -0.42 0.33 16 53 H 0.11 1.02 8.14 -51.93 -0.42 0.59 16 LS Contribution 399.10 15.07 6.01 6.01 Total: -1.00 -32.21 399.10 -7.77 -39.98 By element: Atomic # 1 Polarization: 15.03 SS G_CDS: -8.77 Total: 6.26 kcal Atomic # 6 Polarization: 8.46 SS G_CDS: 0.83 Total: 9.29 kcal Atomic # 7 Polarization: -46.87 SS G_CDS: -0.18 Total: -47.06 kcal Atomic # 8 Polarization: -29.72 SS G_CDS: -0.63 Total: -30.35 kcal Atomic # 14 Polarization: 20.89 SS G_CDS: -5.02 Total: 15.87 kcal Total LS contribution 6.01 Total: 6.01 kcal Total: -32.21 -7.77 -39.98 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. ZINC001361691887.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 -53.539 kcal (2) G-P(sol) polarization free energy of solvation -32.206 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -85.745 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.772 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.977 kcal (6) G-S(sol) free energy of system = (1) + (5) -93.516 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.68 seconds