Wall clock time and date at job start Tue Mar 31 2020 20:49:06 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 O 1.42898 * 1 3 3 C 1.42900 * 114.00343 * 2 1 4 4 C 1.52996 * 109.47636 * 180.02562 * 3 2 1 5 5 C 1.53000 * 109.47041 * 300.00765 * 3 2 1 6 6 N 1.46901 * 109.46769 * 299.99294 * 5 3 2 7 7 C 1.46906 * 110.99793 * 180.02562 * 6 5 3 8 8 C 1.52995 * 109.46978 * 180.02562 * 7 6 5 9 9 H 1.09002 * 109.47639 * 60.00040 * 8 7 6 10 10 O 1.42900 * 109.47121 * 299.99679 * 8 7 6 11 11 C 1.53007 * 109.47182 * 180.02562 * 8 7 6 12 12 N 1.46897 * 109.47064 * 184.99687 * 11 8 7 13 13 C 1.46906 * 111.00056 * 66.04842 * 12 11 8 14 14 C 1.46899 * 110.99585 * 189.99888 * 12 11 8 15 15 C 1.50706 * 109.46964 * 170.00465 * 14 12 11 16 16 H 1.08001 * 120.00068 * 359.97438 * 15 14 12 17 17 C 1.37873 * 120.00076 * 180.02562 * 15 14 12 18 18 N 1.31516 * 119.99851 * 359.97438 * 17 15 14 19 19 Si 1.86800 * 119.99934 * 179.97438 * 17 15 14 20 20 H 1.48496 * 109.47215 * 60.00010 * 19 17 15 21 21 H 1.48505 * 109.46934 * 179.97438 * 19 17 15 22 22 H 1.48500 * 109.47278 * 299.99966 * 19 17 15 23 23 C 1.50703 * 109.46869 * 60.00304 * 3 2 1 24 24 C 1.38235 * 120.00136 * 209.72888 * 23 3 2 25 25 C 1.38228 * 119.99890 * 179.78601 * 24 23 3 26 26 C 1.38231 * 120.00295 * 0.44182 * 25 24 23 27 27 C 1.38234 * 120.00053 * 359.81230 * 26 25 24 28 28 C 1.38232 * 119.99684 * 359.97438 * 27 26 25 29 29 H 1.09006 * 109.46986 * 299.99277 * 1 2 3 30 30 H 1.08995 * 109.47308 * 59.99708 * 1 2 3 31 31 H 1.09002 * 109.47309 * 179.97438 * 1 2 3 32 32 H 1.08992 * 109.47554 * 179.97438 * 4 3 2 33 33 H 1.09004 * 109.47108 * 300.00231 * 4 3 2 34 34 H 1.09000 * 109.46870 * 60.00125 * 4 3 2 35 35 H 1.09002 * 109.47398 * 59.99589 * 5 3 2 36 36 H 1.09001 * 109.47194 * 179.97438 * 5 3 2 37 37 H 1.00899 * 111.00283 * 303.95539 * 6 5 3 38 38 H 1.08995 * 109.47087 * 299.99901 * 7 6 5 39 39 H 1.09002 * 109.46903 * 59.99922 * 7 6 5 40 40 H 0.96701 * 114.00644 * 300.00239 * 10 8 7 41 41 H 1.08998 * 109.46492 * 304.99755 * 11 8 7 42 42 H 1.09000 * 109.46532 * 64.99742 * 11 8 7 43 43 H 1.08999 * 109.46897 * 59.99268 * 13 12 11 44 44 H 1.08994 * 109.47118 * 179.97438 * 13 12 11 45 45 H 1.08997 * 109.46542 * 299.99800 * 13 12 11 46 46 H 1.09002 * 109.47221 * 289.99957 * 14 12 11 47 47 H 1.09000 * 109.47505 * 50.00272 * 14 12 11 48 48 H 0.97003 * 119.99678 * 179.97438 * 18 17 15 49 49 H 1.08000 * 119.99506 * 0.02562 * 24 23 3 50 50 H 1.08010 * 119.99821 * 180.27706 * 25 24 23 51 51 H 1.08004 * 120.00316 * 179.83125 * 26 25 24 52 52 H 1.07996 * 120.00365 * 179.97438 * 27 26 25 53 53 H 1.08005 * 119.99929 * 179.97438 * 28 27 26 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 8 1.4290 0.0000 0.0000 3 6 2.0103 1.3054 0.0000 4 6 3.5355 1.1847 -0.0006 5 6 1.5587 2.0648 -1.2492 6 7 1.9922 1.3358 -2.4486 7 6 1.5756 2.0374 -3.6702 8 6 2.0434 1.2495 -4.8955 9 1 1.5992 0.2542 -4.8788 10 8 3.4677 1.1360 -4.8736 11 6 1.6101 1.9806 -6.1679 12 7 1.9532 1.1663 -7.3414 13 6 1.1692 -0.0757 -7.3678 14 6 1.7718 1.9299 -8.5831 15 6 2.3597 1.1592 -9.7371 16 1 2.8222 0.1985 -9.5652 17 6 2.3080 1.6811 -11.0123 18 7 1.7452 2.8512 -11.2216 19 14 3.0373 0.7261 -12.4425 20 1 2.3510 -0.5852 -12.5635 21 1 2.8538 1.4980 -13.6979 22 1 4.4863 0.5062 -12.2034 23 6 1.5657 2.0532 1.2305 24 6 1.4490 3.4303 1.1981 25 6 1.0370 4.1157 2.3255 26 6 0.7503 3.4251 3.4881 27 6 0.8720 2.0486 3.5222 28 6 1.2798 1.3627 2.3935 29 1 -0.3633 0.5138 0.8901 30 1 -0.3634 0.5138 -0.8899 31 1 -0.3634 -1.0277 -0.0005 32 1 3.9788 2.1803 -0.0011 33 1 3.8575 0.6435 0.8891 34 1 3.8567 0.6439 -0.8909 35 1 0.4721 2.1509 -1.2491 36 1 2.0017 3.0607 -1.2489 37 1 2.9900 1.1865 -2.4402 38 1 0.4892 2.1236 -3.6872 39 1 2.0194 3.0329 -3.6867 40 1 3.9303 1.9851 -4.8867 41 1 0.5331 2.1462 -6.1428 42 1 2.1240 2.9400 -6.2284 43 1 0.1071 0.1659 -7.4084 44 1 1.4426 -0.6593 -8.2468 45 1 1.3759 -0.6550 -6.4679 46 1 0.7081 2.0913 -8.7583 47 1 2.2756 2.8924 -8.4948 48 1 1.7092 3.2185 -12.1186 49 1 1.6761 3.9701 0.2907 50 1 0.9415 5.1913 2.2987 51 1 0.4310 3.9610 4.3698 52 1 0.6484 1.5090 4.4306 53 1 1.3753 0.2872 2.4202 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 ZINC000571277634.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 20:49:06 Heat of formation + Delta-G solvation = -58.158052 kcal Electronic energy + Delta-G solvation = -29338.095568 eV Core-core repulsion = 25403.067439 eV Total energy + Delta-G solvation = -3935.028129 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.87 seconds Orbital eigenvalues (eV) -40.60720 -38.46830 -37.88743 -35.90307 -34.93009 -32.97510 -32.49916 -31.26443 -30.28021 -29.44003 -27.32874 -26.78139 -26.30549 -25.25084 -23.62262 -23.11370 -22.32260 -21.28847 -20.22561 -19.98578 -17.80420 -17.08227 -16.47226 -16.18053 -16.01565 -15.62361 -15.47721 -15.10086 -14.86856 -14.82192 -14.58981 -14.45369 -14.13663 -13.84838 -13.66654 -13.32737 -13.16392 -12.99945 -12.72201 -12.65119 -12.52694 -12.21540 -12.03834 -11.89985 -11.80475 -11.63520 -11.31330 -11.29294 -11.08002 -10.86177 -10.81031 -10.74784 -10.65324 -10.26238 -10.03383 -9.80882 -9.56532 -9.27206 -9.13283 -9.08163 -8.49550 -8.41722 -7.17545 -6.01143 -4.02047 0.94195 1.03123 3.35691 3.38781 3.38960 3.42767 3.47481 3.90186 4.33030 4.44194 4.48040 4.59719 4.64291 4.69070 4.72047 4.79422 4.93490 5.07382 5.16424 5.18009 5.21805 5.25839 5.30654 5.32086 5.36692 5.39575 5.45799 5.52369 5.54270 5.66013 5.66481 5.67971 5.68842 5.75124 5.91892 6.07641 6.08994 6.14637 6.17511 6.22909 6.35493 6.43948 6.61542 6.81003 6.82222 7.03626 7.28440 7.30980 7.34523 7.81944 7.97174 8.11852 8.22636 8.57464 9.05776 9.62033 11.09780 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.029319 B = 0.001803 C = 0.001771 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 954.788979 B =15527.396126 C =15802.307175 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.027 3.973 2 O -0.357 6.357 3 C 0.161 3.839 4 C -0.139 4.139 5 C 0.035 3.965 6 N -0.673 5.673 7 C 0.028 3.972 8 C 0.115 3.885 9 H 0.105 0.895 10 O -0.545 6.545 11 C 0.025 3.975 12 N -0.530 5.530 13 C 0.036 3.964 14 C 0.193 3.807 15 C -0.505 4.505 16 H 0.064 0.936 17 C 0.054 3.946 18 N -0.901 5.901 19 Si 0.899 3.101 20 H -0.277 1.277 21 H -0.288 1.288 22 H -0.276 1.276 23 C -0.109 4.109 24 C -0.114 4.114 25 C -0.121 4.121 26 C -0.121 4.121 27 C -0.122 4.122 28 C -0.101 4.101 29 H 0.039 0.961 30 H 0.047 0.953 31 H 0.083 0.917 32 H 0.069 0.931 33 H 0.066 0.934 34 H 0.076 0.924 35 H 0.076 0.924 36 H 0.039 0.961 37 H 0.350 0.650 38 H 0.076 0.924 39 H 0.030 0.970 40 H 0.365 0.635 41 H 0.028 0.972 42 H 0.068 0.932 43 H 0.008 0.992 44 H 0.074 0.926 45 H 0.048 0.952 46 H -0.011 1.011 47 H 0.027 0.973 48 H 0.261 0.739 49 H 0.124 0.876 50 H 0.122 0.878 51 H 0.120 0.880 52 H 0.122 0.878 53 H 0.128 0.872 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.345 1.273 30.926 31.041 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 -0.069 4.069 2 O -0.275 6.275 3 C 0.121 3.879 4 C -0.196 4.196 5 C -0.094 4.094 6 N -0.307 5.307 7 C -0.103 4.103 8 C 0.055 3.945 9 H 0.122 0.878 10 O -0.349 6.349 11 C -0.104 4.104 12 N -0.254 5.254 13 C -0.113 4.113 14 C 0.068 3.932 15 C -0.544 4.544 16 H 0.082 0.918 17 C -0.147 4.147 18 N -0.541 5.541 19 Si 0.727 3.273 20 H -0.203 1.203 21 H -0.214 1.214 22 H -0.201 1.201 23 C -0.110 4.110 24 C -0.132 4.132 25 C -0.139 4.139 26 C -0.139 4.139 27 C -0.140 4.140 28 C -0.119 4.119 29 H 0.058 0.942 30 H 0.066 0.934 31 H 0.102 0.898 32 H 0.088 0.912 33 H 0.085 0.915 34 H 0.095 0.905 35 H 0.094 0.906 36 H 0.057 0.943 37 H 0.171 0.829 38 H 0.094 0.906 39 H 0.049 0.951 40 H 0.211 0.789 41 H 0.046 0.954 42 H 0.086 0.914 43 H 0.027 0.973 44 H 0.093 0.907 45 H 0.067 0.933 46 H 0.007 0.993 47 H 0.046 0.954 48 H 0.071 0.929 49 H 0.141 0.859 50 H 0.140 0.860 51 H 0.138 0.862 52 H 0.140 0.860 53 H 0.146 0.854 Dipole moment (debyes) X Y Z Total from point charges -2.457 0.041 30.798 30.896 hybrid contribution -0.233 1.614 -0.908 1.867 sum -2.690 1.656 29.890 30.056 Atomic orbital electron populations 1.22781 0.81460 1.02536 1.00162 1.87987 1.19546 1.25441 1.94505 1.20255 0.94423 0.83334 0.89936 1.21781 0.91462 1.02566 1.03798 1.22587 1.01294 0.95090 0.90465 1.60291 1.21499 1.48877 1.00015 1.22696 1.01288 0.95375 0.90893 1.21989 0.81651 1.00216 0.90640 0.87768 1.86620 1.17480 1.34119 1.96655 1.22712 0.98153 0.97226 0.92350 1.62028 1.55020 1.05603 1.02727 1.22262 0.93982 0.93486 1.01541 1.19737 0.94963 0.93480 0.85040 1.21140 1.36999 1.05108 0.91151 0.91820 1.24999 0.95625 0.95141 0.98968 1.69954 1.44747 1.17525 1.21843 0.86537 0.79770 0.79745 0.81217 1.20281 1.21412 1.20125 1.20427 1.00359 0.94156 0.96021 1.21131 0.99669 0.93672 0.98706 1.21155 0.99619 0.99953 0.93142 1.21192 1.00060 0.94517 0.98097 1.21173 1.00068 0.94463 0.98313 1.21036 0.98319 1.00471 0.92047 0.94225 0.93447 0.89838 0.91246 0.91456 0.90501 0.90567 0.94279 0.82900 0.90553 0.95138 0.78884 0.95401 0.91367 0.97348 0.90695 0.93317 0.99335 0.95448 0.92931 0.85851 0.86011 0.86152 0.86018 0.85428 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 0.03 0.25 10.04 101.05 1.01 1.26 16 2 O -0.36 -3.82 9.40 -35.23 -0.33 -4.16 16 3 C 0.16 1.47 0.73 -91.77 -0.07 1.40 16 4 C -0.14 -1.17 8.50 37.16 0.32 -0.86 16 5 C 0.04 0.33 3.61 -3.82 -0.01 0.31 16 6 N -0.67 -7.34 6.35 -113.78 -0.72 -8.06 16 7 C 0.03 0.32 5.39 -3.82 -0.02 0.30 16 8 C 0.11 1.66 3.20 -26.73 -0.09 1.57 16 9 H 0.10 1.66 6.34 -51.93 -0.33 1.33 16 10 O -0.55 -8.23 12.62 -35.23 -0.44 -8.67 16 11 C 0.03 0.44 4.59 -3.82 -0.02 0.42 16 12 N -0.53 -11.62 4.70 -244.36 -1.15 -12.77 16 13 C 0.04 0.73 9.15 60.07 0.55 1.27 16 14 C 0.19 5.10 4.72 -4.97 -0.02 5.08 16 15 C -0.51 -14.45 8.46 -34.44 -0.29 -14.74 16 16 H 0.06 1.81 7.12 -52.49 -0.37 1.44 16 17 C 0.05 1.54 5.46 -17.82 -0.10 1.44 16 18 N -0.90 -27.00 13.29 55.43 0.74 -26.26 16 19 Si 0.90 21.94 29.54 -169.99 -5.02 16.92 16 20 H -0.28 -6.64 7.11 56.52 0.40 -6.24 16 21 H -0.29 -6.94 7.11 56.52 0.40 -6.54 16 22 H -0.28 -6.65 7.11 56.52 0.40 -6.25 16 23 C -0.11 -0.93 4.01 -104.62 -0.42 -1.35 16 24 C -0.11 -0.90 9.14 -39.59 -0.36 -1.26 16 25 C -0.12 -0.87 10.05 -39.59 -0.40 -1.27 16 26 C -0.12 -0.83 10.05 -39.59 -0.40 -1.23 16 27 C -0.12 -0.88 10.05 -39.59 -0.40 -1.28 16 28 C -0.10 -0.83 7.77 -39.58 -0.31 -1.14 16 29 H 0.04 0.33 6.05 -51.93 -0.31 0.02 16 30 H 0.05 0.46 6.42 -51.93 -0.33 0.12 16 31 H 0.08 0.68 8.14 -51.93 -0.42 0.26 16 32 H 0.07 0.51 8.14 -51.93 -0.42 0.08 16 33 H 0.07 0.56 8.14 -51.93 -0.42 0.14 16 34 H 0.08 0.69 6.57 -51.93 -0.34 0.35 16 35 H 0.08 0.74 6.54 -51.93 -0.34 0.40 16 36 H 0.04 0.33 6.51 -51.93 -0.34 -0.01 16 37 H 0.35 3.84 6.16 -39.29 -0.24 3.59 16 38 H 0.08 0.87 8.14 -51.93 -0.42 0.45 16 39 H 0.03 0.32 8.14 -51.93 -0.42 -0.10 16 40 H 0.37 4.40 9.05 45.56 0.41 4.82 16 41 H 0.03 0.48 8.12 -51.93 -0.42 0.06 16 42 H 0.07 1.17 7.93 -51.93 -0.41 0.75 16 43 H 0.01 0.16 8.14 -51.93 -0.42 -0.26 16 44 H 0.07 1.63 6.76 -51.93 -0.35 1.28 16 45 H 0.05 0.87 6.37 -51.93 -0.33 0.54 16 46 H -0.01 -0.31 8.12 -51.93 -0.42 -0.74 16 47 H 0.03 0.77 7.93 -51.93 -0.41 0.35 16 48 H 0.26 7.41 8.31 -40.82 -0.34 7.07 16 49 H 0.12 0.86 6.17 -52.49 -0.32 0.54 16 50 H 0.12 0.66 8.06 -52.48 -0.42 0.23 16 51 H 0.12 0.59 8.06 -52.48 -0.42 0.17 16 52 H 0.12 0.64 8.06 -52.49 -0.42 0.22 16 53 H 0.13 1.04 7.40 -52.48 -0.39 0.65 16 LS Contribution 413.01 15.07 6.22 6.22 Total: -1.00 -32.18 413.01 -9.93 -42.10 By element: Atomic # 1 Polarization: 12.92 SS G_CDS: -8.20 Total: 4.72 kcal Atomic # 6 Polarization: -9.04 SS G_CDS: -1.02 Total: -10.06 kcal Atomic # 7 Polarization: -45.95 SS G_CDS: -1.13 Total: -47.08 kcal Atomic # 8 Polarization: -12.05 SS G_CDS: -0.78 Total: -12.83 kcal Atomic # 14 Polarization: 21.94 SS G_CDS: -5.02 Total: 16.92 kcal Total LS contribution 6.22 Total: 6.22 kcal Total: -32.18 -9.93 -42.10 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. ZINC000571277634.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 -16.053 kcal (2) G-P(sol) polarization free energy of solvation -32.178 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -48.231 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.927 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.105 kcal (6) G-S(sol) free energy of system = (1) + (5) -58.158 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.87 seconds