Wall clock time and date at job start Sat Apr 11 2020 06:11:43 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 1.53007 * 1 3 3 O 1.42902 * 109.46981 * 2 1 4 4 C 1.42903 * 113.99704 * 179.41693 * 3 2 1 5 5 H 1.09002 * 109.46701 * 19.72905 * 4 3 2 6 6 C 1.52997 * 109.47497 * 259.72379 * 4 3 2 7 7 C 1.53001 * 109.46947 * 63.49994 * 6 4 3 8 8 N 1.46501 * 109.46723 * 177.65014 * 7 6 4 9 9 C 1.34777 * 119.99850 * 179.97438 * 8 7 6 10 10 O 1.21348 * 120.00159 * 0.02562 * 9 8 7 11 11 C 1.49455 * 120.00056 * 180.02562 * 9 8 7 12 12 O 1.21340 * 119.99641 * 5.16468 * 11 9 8 13 13 N 1.34778 * 119.99620 * 185.16663 * 11 9 8 14 14 C 1.46502 * 119.99633 * 184.92152 * 13 11 9 15 15 C 1.52994 * 109.47051 * 184.93078 * 14 13 11 16 16 C 1.50701 * 115.55347 * 65.28459 * 15 14 13 17 17 H 1.07996 * 119.99941 * 271.35218 * 16 15 14 18 18 C 1.37879 * 119.99881 * 91.35597 * 16 15 14 19 19 N 1.31515 * 120.00272 * 353.36536 * 18 16 15 20 20 Si 1.86794 * 119.99859 * 173.37173 * 18 16 15 21 21 H 1.48498 * 109.47386 * 59.99762 * 20 18 16 22 22 H 1.48504 * 109.47381 * 179.97438 * 20 18 16 23 23 H 1.48498 * 109.47164 * 299.99901 * 20 18 16 24 24 C 1.53001 * 117.49807 * 279.61276 * 15 14 13 25 25 C 1.53008 * 117.49747 * 210.95733 * 15 14 13 26 26 C 1.52998 * 109.46743 * 139.71949 * 4 3 2 27 27 C 1.53000 * 109.47703 * 294.42706 * 26 4 3 28 28 C 1.53000 * 109.47163 * 54.42952 * 26 4 3 29 29 H 1.08999 * 109.46930 * 60.00181 * 1 2 3 30 30 H 1.08995 * 109.46943 * 180.02562 * 1 2 3 31 31 H 1.08998 * 109.46727 * 300.00180 * 1 2 3 32 32 H 1.08999 * 109.46930 * 119.99819 * 2 1 3 33 33 H 1.08998 * 109.46727 * 239.99820 * 2 1 3 34 34 H 1.08988 * 109.47385 * 183.50575 * 6 4 3 35 35 H 1.08997 * 109.46600 * 303.50697 * 6 4 3 36 36 H 1.08994 * 109.47363 * 297.65539 * 7 6 4 37 37 H 1.08994 * 109.46974 * 57.65868 * 7 6 4 38 38 H 0.97000 * 120.00375 * 0.02562 * 8 7 6 39 39 H 0.96993 * 120.00279 * 4.92413 * 13 11 9 40 40 H 1.09004 * 109.47025 * 304.92730 * 14 13 11 41 41 H 1.08998 * 109.47032 * 64.92320 * 14 13 11 42 42 H 0.96991 * 120.00229 * 185.01211 * 19 18 16 43 43 H 1.09004 * 117.49579 * 359.97438 * 24 15 14 44 44 H 1.08998 * 117.50188 * 145.01855 * 24 15 14 45 45 H 1.09001 * 117.49747 * 214.97934 * 25 15 14 46 46 H 1.09000 * 117.49909 * 359.97040 * 25 15 14 47 47 H 1.09001 * 109.46908 * 174.42567 * 26 4 3 48 48 H 1.08998 * 109.47067 * 65.09111 * 27 26 4 49 49 H 1.08994 * 109.47354 * 185.09520 * 27 26 4 50 50 H 1.09006 * 109.46824 * 305.09171 * 27 26 4 51 51 H 1.08999 * 109.46922 * 59.99603 * 28 26 4 52 52 H 1.09002 * 109.47296 * 179.97438 * 28 26 4 53 53 H 1.09001 * 109.46894 * 299.99623 * 28 26 4 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 1.5301 0.0000 0.0000 3 8 2.0064 1.3473 0.0000 4 6 3.4309 1.4601 0.0133 5 1 3.8727 0.5233 -0.3262 6 6 3.9054 1.7617 1.4362 7 6 3.5517 0.5877 2.3513 8 7 4.0556 0.8520 3.7014 9 6 3.8588 -0.0506 4.6827 10 8 3.2646 -1.0823 4.4480 11 6 4.3723 0.2191 6.0601 12 8 4.8831 1.2891 6.3184 13 7 4.2680 -0.7261 7.0152 14 6 4.6720 -0.4249 8.3909 15 6 4.5706 -1.6927 9.2413 16 6 5.5169 -2.8041 8.8666 17 1 5.2258 -3.5345 8.1263 18 6 6.7542 -2.8886 9.4692 19 7 7.1615 -1.9298 10.2720 20 14 7.8521 -4.3646 9.1450 21 1 8.1535 -4.4482 7.6934 22 1 9.1190 -4.2158 9.9054 23 1 7.1568 -5.6033 9.5782 24 6 3.1857 -2.0880 9.7577 25 6 4.2307 -1.5238 10.7235 26 6 3.8613 2.5942 -0.9191 27 6 3.5100 2.2289 -2.3627 28 6 3.1326 3.8812 -0.5270 29 1 -0.3633 0.5138 -0.8900 30 1 -0.3633 -1.0276 0.0005 31 1 -0.3633 0.5139 0.8900 32 1 1.8934 -0.5138 0.8900 33 1 1.8933 -0.5139 -0.8900 34 1 4.9853 1.9093 1.4354 35 1 3.4154 2.6654 1.7986 36 1 2.4690 0.4665 2.3848 37 1 4.0076 -0.3239 1.9654 38 1 4.5302 1.6768 3.8891 39 1 3.9256 -1.6056 6.7919 40 1 5.7008 -0.0648 8.3968 41 1 4.0162 0.3422 8.8025 42 1 8.0593 -1.9526 10.6383 43 1 2.3470 -1.4446 9.4920 44 1 2.9591 -3.1519 9.8268 45 1 4.6913 -2.2168 11.4276 46 1 4.0799 -0.5094 11.0929 47 1 4.9374 2.7458 -0.8342 48 1 2.4270 2.1660 -2.4684 49 1 3.8969 2.9941 -3.0356 50 1 3.9560 1.2662 -2.6126 51 1 3.3828 4.1414 0.5014 52 1 3.4395 4.6893 -1.1910 53 1 2.0565 3.7296 -0.6119 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 ZINC001323538376.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 06:11:43 Heat of formation + Delta-G solvation = -117.318351 kcal Electronic energy + Delta-G solvation = -29896.461647 eV Core-core repulsion = 25768.412083 eV Total energy + Delta-G solvation = -4128.049564 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) -40.31527 -39.43431 -38.16172 -36.72901 -35.68076 -35.20564 -33.38215 -31.95890 -31.65790 -30.80576 -27.53499 -27.25633 -26.10838 -25.32578 -23.31562 -22.99727 -21.91052 -21.17927 -20.42223 -19.83576 -19.48920 -18.05148 -17.15639 -16.85354 -16.13686 -16.05127 -15.76801 -15.30681 -15.00862 -14.78193 -14.72073 -14.59269 -14.38844 -13.96973 -13.82544 -13.76161 -13.31690 -13.07175 -12.75819 -12.67058 -12.60976 -12.39898 -12.23494 -11.90942 -11.83524 -11.76570 -11.60244 -11.44933 -11.33451 -11.05478 -11.02891 -10.99168 -10.93003 -10.81499 -10.56166 -10.26895 -9.81461 -9.66635 -9.24269 -9.22894 -9.04944 -8.48757 -8.44209 -8.17303 -6.09507 -4.18136 1.78507 2.66600 3.27327 3.32547 3.34942 3.35105 3.60338 3.99581 4.25479 4.34956 4.44264 4.61406 4.75691 4.79089 4.82745 4.91218 4.93793 5.00059 5.09210 5.14432 5.16499 5.29429 5.34610 5.36420 5.39816 5.41105 5.55783 5.60363 5.63413 5.68392 5.77468 5.78079 5.86867 5.96415 5.97980 6.09293 6.22697 6.29319 6.38140 6.45841 6.66358 6.74087 6.94364 6.98846 7.07658 7.22182 7.36391 7.48096 7.80447 7.84314 8.13725 8.31222 8.52562 8.83116 9.48726 10.97985 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.016338 B = 0.002026 C = 0.001999 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1713.424414 B =13814.774133 C =14005.465759 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.150 4.150 2 C 0.049 3.951 3 O -0.374 6.374 4 C 0.099 3.901 5 H 0.065 0.935 6 C -0.154 4.154 7 C 0.116 3.884 8 N -0.707 5.707 9 C 0.508 3.492 10 O -0.522 6.522 11 C 0.495 3.505 12 O -0.539 6.539 13 N -0.666 5.666 14 C 0.159 3.841 15 C 0.021 3.979 16 C -0.501 4.501 17 H 0.061 0.939 18 C 0.073 3.927 19 N -0.875 5.875 20 Si 0.892 3.108 21 H -0.277 1.277 22 H -0.287 1.287 23 H -0.276 1.276 24 C -0.211 4.211 25 C -0.139 4.139 26 C -0.095 4.095 27 C -0.146 4.146 28 C -0.144 4.144 29 H 0.060 0.940 30 H 0.070 0.930 31 H 0.063 0.937 32 H 0.055 0.945 33 H 0.047 0.953 34 H 0.081 0.919 35 H 0.084 0.916 36 H 0.076 0.924 37 H 0.067 0.933 38 H 0.412 0.588 39 H 0.412 0.588 40 H 0.079 0.921 41 H 0.043 0.957 42 H 0.262 0.738 43 H 0.065 0.935 44 H 0.080 0.920 45 H 0.087 0.913 46 H 0.065 0.935 47 H 0.080 0.920 48 H 0.061 0.939 49 H 0.054 0.946 50 H 0.051 0.949 51 H 0.056 0.944 52 H 0.050 0.950 53 H 0.064 0.936 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -8.557 8.348 -22.260 25.267 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 -0.208 4.208 2 C -0.028 4.028 3 O -0.294 6.294 4 C 0.040 3.960 5 H 0.083 0.917 6 C -0.192 4.192 7 C -0.007 4.007 8 N -0.361 5.361 9 C 0.290 3.710 10 O -0.397 6.397 11 C 0.275 3.725 12 O -0.418 6.418 13 N -0.316 5.316 14 C 0.036 3.964 15 C 0.020 3.980 16 C -0.538 4.538 17 H 0.079 0.921 18 C -0.131 4.131 19 N -0.511 5.511 20 Si 0.719 3.281 21 H -0.202 1.202 22 H -0.213 1.213 23 H -0.201 1.201 24 C -0.249 4.249 25 C -0.177 4.177 26 C -0.114 4.114 27 C -0.203 4.203 28 C -0.201 4.201 29 H 0.079 0.921 30 H 0.089 0.911 31 H 0.082 0.918 32 H 0.073 0.927 33 H 0.065 0.935 34 H 0.100 0.900 35 H 0.103 0.897 36 H 0.094 0.906 37 H 0.085 0.915 38 H 0.248 0.752 39 H 0.248 0.752 40 H 0.097 0.903 41 H 0.061 0.939 42 H 0.072 0.928 43 H 0.084 0.916 44 H 0.098 0.902 45 H 0.105 0.895 46 H 0.083 0.917 47 H 0.098 0.902 48 H 0.080 0.920 49 H 0.073 0.927 50 H 0.070 0.930 51 H 0.075 0.925 52 H 0.069 0.931 53 H 0.083 0.917 Dipole moment (debyes) X Y Z Total from point charges -8.625 8.531 -22.034 25.153 hybrid contribution 1.004 -1.042 -0.091 1.450 sum -7.620 7.489 -22.125 24.570 Atomic orbital electron populations 1.21727 0.93744 1.02327 1.02967 1.22680 0.95746 0.83945 1.00382 1.87930 1.20313 1.26197 1.94936 1.22055 0.81875 0.98534 0.93510 0.91697 1.22375 1.02364 0.99204 0.95246 1.21533 1.00060 0.98161 0.80978 1.45749 1.58190 1.22927 1.09211 1.20511 0.80318 0.83725 0.86488 1.90739 1.40334 1.25555 1.83057 1.19910 0.81377 0.85521 0.85714 1.90714 1.44099 1.25001 1.81955 1.45856 1.61110 1.15167 1.09426 1.21243 0.99877 0.97097 0.78152 1.19030 0.92546 0.93794 0.92594 1.20315 0.99747 1.10187 1.23568 0.92118 1.24991 0.97848 0.95997 0.94240 1.69969 1.17920 1.31912 1.31333 0.86671 0.79752 0.83290 0.78379 1.20220 1.21262 1.20122 1.23088 0.93179 0.99907 1.08709 1.22447 1.01471 0.99428 0.94330 1.21288 1.00160 0.95099 0.94821 1.21799 1.02258 1.00961 0.95282 1.21770 1.01404 0.95849 1.01085 0.92066 0.91122 0.91792 0.92669 0.93502 0.89996 0.89734 0.90613 0.91460 0.75175 0.75201 0.90287 0.93906 0.92767 0.91607 0.90164 0.89465 0.91655 0.90185 0.92014 0.92659 0.93032 0.92526 0.93076 0.91676 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 -0.15 -1.08 10.28 37.16 0.38 -0.70 16 2 C 0.05 0.38 6.01 37.16 0.22 0.61 16 3 O -0.37 -3.23 8.47 -35.23 -0.30 -3.53 16 4 C 0.10 0.72 1.97 -26.73 -0.05 0.67 16 5 H 0.06 0.45 7.69 -51.93 -0.40 0.05 16 6 C -0.15 -1.19 4.73 -26.73 -0.13 -1.32 16 7 C 0.12 1.20 4.58 -4.04 -0.02 1.18 16 8 N -0.71 -8.98 5.55 -60.73 -0.34 -9.32 16 9 C 0.51 8.38 7.89 -11.58 -0.09 8.28 16 10 O -0.52 -9.52 16.50 5.50 0.09 -9.43 16 11 C 0.50 9.39 7.88 -11.58 -0.09 9.29 16 12 O -0.54 -11.08 16.47 5.51 0.09 -10.98 16 13 N -0.67 -13.38 5.44 -60.73 -0.33 -13.71 16 14 C 0.16 3.53 5.53 -4.04 -0.02 3.51 16 15 C 0.02 0.50 1.47 -155.66 -0.23 0.27 16 16 C -0.50 -13.01 8.75 -34.44 -0.30 -13.32 16 17 H 0.06 1.57 7.82 -52.49 -0.41 1.16 16 18 C 0.07 1.95 5.36 -17.82 -0.10 1.86 16 19 N -0.88 -24.12 12.64 55.43 0.70 -23.42 16 20 Si 0.89 20.75 29.55 -169.99 -5.02 15.72 16 21 H -0.28 -6.43 7.11 56.52 0.40 -6.03 16 22 H -0.29 -6.67 7.11 56.52 0.40 -6.27 16 23 H -0.28 -6.36 7.11 56.52 0.40 -5.96 16 24 C -0.21 -4.41 9.96 -26.69 -0.27 -4.68 16 25 C -0.14 -3.14 9.06 -26.69 -0.24 -3.38 16 26 C -0.10 -0.61 2.75 -90.62 -0.25 -0.86 16 27 C -0.15 -0.89 9.04 37.16 0.34 -0.56 16 28 C -0.14 -0.98 8.75 37.16 0.33 -0.65 16 29 H 0.06 0.41 8.14 -51.93 -0.42 -0.01 16 30 H 0.07 0.43 8.14 -51.93 -0.42 0.01 16 31 H 0.06 0.51 8.14 -51.93 -0.42 0.08 16 32 H 0.06 0.47 5.86 -51.93 -0.30 0.17 16 33 H 0.05 0.32 8.12 -51.93 -0.42 -0.10 16 34 H 0.08 0.55 8.14 -51.94 -0.42 0.13 16 35 H 0.08 0.67 6.75 -51.93 -0.35 0.32 16 36 H 0.08 0.85 6.38 -51.93 -0.33 0.52 16 37 H 0.07 0.71 8.14 -51.93 -0.42 0.29 16 38 H 0.41 4.75 7.96 -40.82 -0.32 4.42 16 39 H 0.41 8.12 7.96 -40.82 -0.32 7.80 16 40 H 0.08 1.98 8.10 -51.93 -0.42 1.56 16 41 H 0.04 0.91 8.09 -51.93 -0.42 0.49 16 42 H 0.26 6.98 8.32 -40.82 -0.34 6.64 16 43 H 0.07 1.25 8.14 -51.93 -0.42 0.82 16 44 H 0.08 1.66 8.14 -51.93 -0.42 1.24 16 45 H 0.09 2.12 8.14 -51.93 -0.42 1.70 16 46 H 0.06 1.39 8.14 -51.93 -0.42 0.96 16 47 H 0.08 0.46 8.14 -51.93 -0.42 0.04 16 48 H 0.06 0.42 7.97 -51.93 -0.41 0.01 16 49 H 0.05 0.30 8.14 -51.93 -0.42 -0.12 16 50 H 0.05 0.30 8.14 -51.93 -0.42 -0.13 16 51 H 0.06 0.39 6.66 -51.93 -0.35 0.04 16 52 H 0.05 0.31 8.14 -51.93 -0.42 -0.11 16 53 H 0.06 0.51 7.55 -51.93 -0.39 0.12 16 LS Contribution 431.01 15.07 6.50 6.50 Total: -1.00 -29.51 431.01 -8.62 -38.13 By element: Atomic # 1 Polarization: 19.33 SS G_CDS: -9.49 Total: 9.84 kcal Atomic # 6 Polarization: 0.73 SS G_CDS: -0.52 Total: 0.21 kcal Atomic # 7 Polarization: -46.48 SS G_CDS: 0.03 Total: -46.45 kcal Atomic # 8 Polarization: -23.83 SS G_CDS: -0.12 Total: -23.94 kcal Atomic # 14 Polarization: 20.75 SS G_CDS: -5.02 Total: 15.72 kcal Total LS contribution 6.50 Total: 6.50 kcal Total: -29.51 -8.62 -38.13 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. ZINC001323538376.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 -79.192 kcal (2) G-P(sol) polarization free energy of solvation -29.506 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -108.698 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.621 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.126 kcal (6) G-S(sol) free energy of system = (1) + (5) -117.318 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.71 seconds