Wall clock time and date at job start Sat Apr 11 2020 06:11:33 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 1.52995 * 1 3 3 O 1.45204 * 109.47004 * 2 1 4 4 C 1.34233 * 116.99847 * 179.97438 * 3 2 1 5 5 O 1.20827 * 119.99776 * 359.97438 * 4 3 2 6 6 C 1.50699 * 119.99906 * 180.02562 * 4 3 2 7 7 H 1.09002 * 109.46959 * 299.99818 * 6 4 3 8 8 C 1.52997 * 109.47078 * 59.99730 * 6 4 3 9 9 C 1.53000 * 109.47083 * 179.97438 * 6 4 3 10 10 C 1.53954 * 113.74039 * 156.67226 * 9 6 4 11 11 N 1.47574 * 86.11744 * 222.05136 * 10 9 6 12 12 C 1.34775 * 134.49162 * 204.64327 * 11 10 9 13 13 O 1.21598 * 119.99982 * 179.97438 * 12 11 10 14 14 N 1.34770 * 120.00120 * 359.97438 * 12 11 10 15 15 C 1.46499 * 120.00310 * 180.02562 * 14 12 11 16 16 C 1.53000 * 109.47345 * 180.02562 * 15 14 12 17 17 C 1.52994 * 109.47130 * 299.99792 * 16 15 14 18 18 C 1.52996 * 109.47011 * 60.00092 * 16 15 14 19 19 C 1.53000 * 109.47235 * 179.97438 * 16 15 14 20 20 C 1.50696 * 109.47454 * 179.97438 * 19 16 15 21 21 H 1.08001 * 119.99732 * 0.02562 * 20 19 16 22 22 C 1.37877 * 120.00262 * 180.02562 * 20 19 16 23 23 N 1.31506 * 119.99904 * 359.97438 * 22 20 19 24 24 Si 1.86802 * 119.99888 * 180.02562 * 22 20 19 25 25 H 1.48502 * 109.47175 * 90.00167 * 24 22 20 26 26 H 1.48500 * 109.47060 * 210.00095 * 24 22 20 27 27 H 1.48504 * 109.47261 * 330.00221 * 24 22 20 28 28 C 1.47585 * 91.01633 * 24.64091 * 11 10 9 29 29 H 1.09002 * 109.46953 * 60.00228 * 1 2 3 30 30 H 1.09005 * 109.47031 * 179.97438 * 1 2 3 31 31 H 1.08989 * 109.47526 * 300.00073 * 1 2 3 32 32 H 1.08997 * 109.47813 * 239.99906 * 2 1 3 33 33 H 1.09002 * 109.46953 * 119.99772 * 2 1 3 34 34 H 1.08998 * 109.47533 * 179.97438 * 8 6 4 35 35 H 1.08996 * 109.47853 * 300.00179 * 8 6 4 36 36 H 1.09002 * 109.47153 * 60.00207 * 8 6 4 37 37 H 1.08999 * 112.94811 * 288.40930 * 9 6 4 38 38 H 1.08996 * 113.76731 * 336.35316 * 10 9 6 39 39 H 1.08993 * 113.76563 * 107.74431 * 10 9 6 40 40 H 0.97000 * 119.99860 * 0.02562 * 14 12 11 41 41 H 1.09004 * 109.46977 * 299.99625 * 15 14 12 42 42 H 1.09000 * 109.47306 * 59.99733 * 15 14 12 43 43 H 1.09000 * 109.46773 * 60.00031 * 17 16 15 44 44 H 1.09006 * 109.47289 * 179.97438 * 17 16 15 45 45 H 1.08995 * 109.47316 * 300.00213 * 17 16 15 46 46 H 1.09004 * 109.47650 * 60.00191 * 18 16 15 47 47 H 1.09004 * 109.47479 * 179.97438 * 18 16 15 48 48 H 1.09000 * 109.47132 * 300.00116 * 18 16 15 49 49 H 1.08996 * 109.47221 * 300.00385 * 19 16 15 50 50 H 1.09000 * 109.47089 * 59.99909 * 19 16 15 51 51 H 0.97007 * 120.00088 * 179.97438 * 23 22 20 52 52 H 1.09004 * 113.77038 * 221.05983 * 28 11 10 53 53 H 1.08999 * 113.77067 * 89.66191 * 28 11 10 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 8 2.0139 1.3690 0.0000 4 6 3.3447 1.5449 0.0005 5 8 4.0807 0.5866 0.0015 6 6 3.9207 2.9374 0.0012 7 1 3.5851 3.4698 -0.8888 8 6 3.4486 3.6840 1.2504 9 6 5.4486 2.8574 0.0023 10 6 6.1357 4.1173 -0.5550 11 7 7.0495 3.1896 -1.2495 12 6 8.3081 3.2811 -1.7226 13 8 8.8240 2.3241 -2.2671 14 7 8.9950 4.4333 -1.5922 15 6 10.3629 4.5329 -2.1070 16 6 10.9106 5.9348 -1.8318 17 6 10.0274 6.9729 -2.5269 18 6 10.9129 6.1945 -0.3241 19 6 12.3395 6.0387 -2.3689 20 6 12.8787 7.4196 -2.0985 21 1 12.2639 8.1500 -1.5936 22 6 14.1569 7.7506 -2.4955 23 7 14.9057 6.8610 -3.1098 24 14 14.8255 9.4622 -2.1596 25 1 15.4991 9.4796 -0.8363 26 1 15.8019 9.8285 -3.2169 27 1 13.7071 10.4392 -2.1586 28 6 6.0315 2.1215 -1.2178 29 1 -0.3633 0.5138 -0.8900 30 1 -0.3633 -1.0277 -0.0005 31 1 -0.3634 0.5138 0.8899 32 1 1.8934 -0.5138 -0.8899 33 1 1.8933 -0.5138 0.8900 34 1 3.8655 4.6911 1.2511 35 1 2.3601 3.7411 1.2501 36 1 3.7842 3.1517 2.1404 37 1 5.8557 2.5185 0.9550 38 1 5.5063 4.6997 -1.2278 39 1 6.6227 4.7255 0.2071 40 1 8.5836 5.1966 -1.1575 41 1 10.9924 3.7937 -1.6115 42 1 10.3614 4.3474 -3.1811 43 1 9.0096 6.8987 -2.1438 44 1 10.4173 7.9717 -2.3305 45 1 10.0257 6.7878 -3.6010 46 1 11.5423 5.4550 0.1711 47 1 11.3035 7.1931 -0.1279 48 1 9.8951 6.1204 0.0589 49 1 12.9685 5.2991 -1.8735 50 1 12.3383 5.8534 -3.4431 51 1 15.8049 7.0940 -3.3896 52 1 6.4356 1.1363 -0.9848 53 1 5.3715 2.1177 -2.0852 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 ZINC000875582861.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 06:11:33 Heat of formation + Delta-G solvation = -103.400262 kcal Electronic energy + Delta-G solvation = -29921.297852 eV Core-core repulsion = 25793.851822 eV Total energy + Delta-G solvation = -4127.446030 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) -41.30500 -40.21709 -38.56464 -37.08564 -36.73313 -34.17686 -33.47306 -32.11428 -31.96484 -29.04471 -27.04535 -26.61773 -26.49180 -25.97158 -25.13984 -23.66857 -22.76497 -21.95369 -20.40196 -19.64906 -18.50272 -18.08316 -17.47893 -17.19966 -16.87270 -16.32934 -15.87494 -15.73108 -15.04405 -14.63849 -14.54276 -14.33515 -14.08046 -13.79639 -13.58271 -13.48310 -13.27525 -12.98738 -12.92321 -12.73545 -12.71512 -12.53807 -12.38037 -12.09873 -12.05226 -12.02707 -11.89276 -11.52696 -11.14076 -11.12524 -10.99973 -10.97428 -10.84003 -10.61915 -10.61018 -10.37223 -10.23338 -9.91881 -9.85214 -9.18076 -8.91467 -8.90214 -8.42176 -8.34286 -5.98194 -3.99540 1.80893 2.16542 2.54374 3.31805 3.38783 3.40387 3.41492 3.87379 3.98485 4.18162 4.27185 4.44384 4.46608 4.48667 4.56704 4.66538 4.78558 4.82717 5.00768 5.12623 5.14785 5.18213 5.24314 5.27737 5.37256 5.38088 5.45465 5.47625 5.59444 5.60619 5.67194 5.67961 5.77602 5.89252 6.04591 6.19950 6.26063 6.33101 6.44215 6.63238 6.64693 6.84724 7.08601 7.09580 7.16136 7.31596 7.34813 7.66642 7.79174 8.00499 8.20809 8.42446 8.83918 9.05244 9.63405 11.13241 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.033540 B = 0.001734 C = 0.001680 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 834.627474 B =16147.364268 C =16664.343443 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.153 4.153 2 C 0.061 3.939 3 O -0.358 6.358 4 C 0.464 3.536 5 O -0.499 6.499 6 C -0.074 4.074 7 H 0.114 0.886 8 C -0.144 4.144 9 C -0.108 4.108 10 C 0.109 3.891 11 N -0.668 5.668 12 C 0.724 3.276 13 O -0.590 6.590 14 N -0.734 5.734 15 C 0.147 3.853 16 C -0.073 4.073 17 C -0.125 4.125 18 C -0.125 4.125 19 C 0.036 3.964 20 C -0.511 4.511 21 H 0.059 0.941 22 C 0.056 3.944 23 N -0.894 5.894 24 Si 0.889 3.111 25 H -0.282 1.282 26 H -0.288 1.288 27 H -0.275 1.275 28 C 0.143 3.857 29 H 0.067 0.933 30 H 0.079 0.921 31 H 0.066 0.934 32 H 0.071 0.929 33 H 0.070 0.930 34 H 0.076 0.924 35 H 0.071 0.929 36 H 0.062 0.938 37 H 0.111 0.889 38 H 0.085 0.915 39 H 0.084 0.916 40 H 0.393 0.607 41 H 0.061 0.939 42 H 0.061 0.939 43 H 0.027 0.973 44 H 0.066 0.934 45 H 0.047 0.953 46 H 0.047 0.953 47 H 0.066 0.934 48 H 0.027 0.973 49 H 0.019 0.981 50 H 0.019 0.981 51 H 0.260 0.740 52 H 0.087 0.913 53 H 0.075 0.925 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -31.268 -7.817 9.253 33.532 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 -0.210 4.210 2 C -0.013 4.013 3 O -0.275 6.275 4 C 0.306 3.694 5 O -0.385 6.385 6 C -0.094 4.094 7 H 0.132 0.868 8 C -0.201 4.201 9 C -0.128 4.128 10 C -0.015 4.015 11 N -0.409 5.409 12 C 0.427 3.573 13 O -0.468 6.468 14 N -0.388 5.388 15 C 0.023 3.977 16 C -0.073 4.073 17 C -0.182 4.182 18 C -0.182 4.182 19 C -0.001 4.001 20 C -0.549 4.549 21 H 0.077 0.923 22 C -0.145 4.145 23 N -0.533 5.533 24 Si 0.717 3.283 25 H -0.208 1.208 26 H -0.214 1.214 27 H -0.200 1.200 28 C 0.019 3.981 29 H 0.086 0.914 30 H 0.098 0.902 31 H 0.085 0.915 32 H 0.089 0.911 33 H 0.088 0.912 34 H 0.095 0.905 35 H 0.090 0.910 36 H 0.082 0.918 37 H 0.130 0.870 38 H 0.103 0.897 39 H 0.102 0.898 40 H 0.227 0.773 41 H 0.080 0.920 42 H 0.080 0.920 43 H 0.046 0.954 44 H 0.085 0.915 45 H 0.066 0.934 46 H 0.066 0.934 47 H 0.085 0.915 48 H 0.046 0.954 49 H 0.037 0.963 50 H 0.037 0.963 51 H 0.069 0.931 52 H 0.106 0.894 53 H 0.093 0.907 Dipole moment (debyes) X Y Z Total from point charges -30.239 -8.860 8.663 32.680 hybrid contribution 0.314 1.096 0.245 1.166 sum -29.926 -7.764 8.908 32.174 Atomic orbital electron populations 1.21809 0.92553 1.03075 1.03548 1.23047 0.95398 0.80094 1.02756 1.86497 1.24546 1.32509 1.83996 1.23708 0.80612 0.92621 0.72440 1.90710 1.60283 1.43013 1.44508 1.21095 0.94945 0.90357 1.02971 0.86762 1.21768 1.02361 1.00712 0.95301 1.23134 0.91425 0.97466 1.00739 1.23179 0.90068 0.93371 0.94854 1.49047 1.11477 1.16833 1.63586 1.15506 0.79335 0.83825 0.78615 1.90926 1.68640 1.37935 1.49285 1.45314 1.16811 1.12829 1.63888 1.21505 0.79249 0.98323 0.98583 1.20918 0.99306 0.91280 0.95810 1.21741 0.96358 1.00372 0.99765 1.21744 0.98522 1.02781 0.95203 1.19086 0.87475 0.97336 0.96227 1.21181 0.98612 0.97656 1.37494 0.92273 1.25014 0.97187 0.96899 0.95402 1.69967 1.09361 1.34001 1.39999 0.86646 0.78853 0.84921 0.77853 1.20798 1.21354 1.19977 1.22921 0.86472 0.93314 0.95350 0.91423 0.90189 0.91457 0.91103 0.91173 0.90484 0.91015 0.91841 0.87049 0.89694 0.89800 0.77265 0.92030 0.92032 0.95405 0.91477 0.93378 0.93365 0.91483 0.95401 0.96301 0.96302 0.93053 0.89408 0.90700 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 -0.55 10.29 37.16 0.38 -0.17 16 2 C 0.06 0.36 6.19 37.16 0.23 0.59 16 3 O -0.36 -2.60 10.12 -39.27 -0.40 -3.00 16 4 C 0.46 3.72 7.06 36.01 0.25 3.98 16 5 O -0.50 -5.49 14.66 -18.75 -0.27 -5.77 16 6 C -0.07 -0.40 2.60 -91.77 -0.24 -0.64 16 7 H 0.11 0.45 7.94 -51.93 -0.41 0.04 16 8 C -0.14 -0.55 9.12 37.16 0.34 -0.21 16 9 C -0.11 -0.80 2.90 -89.69 -0.26 -1.06 16 10 C 0.11 0.82 8.00 -2.97 -0.02 0.80 16 11 N -0.67 -8.47 3.61 -184.11 -0.66 -9.14 16 12 C 0.72 12.44 8.76 -86.93 -0.76 11.68 16 13 O -0.59 -12.85 17.07 5.28 0.09 -12.76 16 14 N -0.73 -11.63 4.96 -65.22 -0.32 -11.95 16 15 C 0.15 2.75 4.56 -4.04 -0.02 2.73 16 16 C -0.07 -1.41 0.54 -154.51 -0.08 -1.49 16 17 C -0.13 -2.22 8.05 37.15 0.30 -1.92 16 18 C -0.13 -2.23 8.05 37.16 0.30 -1.93 16 19 C 0.04 0.90 4.04 -27.88 -0.11 0.79 16 20 C -0.51 -13.64 7.65 -34.44 -0.26 -13.90 16 21 H 0.06 1.51 5.68 -52.49 -0.30 1.21 16 22 C 0.06 1.57 5.46 -17.82 -0.10 1.47 16 23 N -0.89 -26.57 13.29 55.43 0.74 -25.84 16 24 Si 0.89 21.25 29.54 -169.99 -5.02 16.23 16 25 H -0.28 -6.68 7.11 56.52 0.40 -6.28 16 26 H -0.29 -6.90 7.11 56.52 0.40 -6.49 16 27 H -0.27 -6.39 7.11 56.52 0.40 -5.99 16 28 C 0.14 1.55 6.92 -2.97 -0.02 1.53 16 29 H 0.07 0.24 8.14 -51.93 -0.42 -0.18 16 30 H 0.08 0.18 8.14 -51.93 -0.42 -0.24 16 31 H 0.07 0.23 8.14 -51.94 -0.42 -0.19 16 32 H 0.07 0.44 8.13 -51.93 -0.42 0.01 16 33 H 0.07 0.42 8.13 -51.93 -0.42 0.00 16 34 H 0.08 0.20 8.14 -51.93 -0.42 -0.22 16 35 H 0.07 0.25 8.11 -51.93 -0.42 -0.17 16 36 H 0.06 0.27 8.14 -51.93 -0.42 -0.15 16 37 H 0.11 0.87 8.14 -51.93 -0.42 0.45 16 38 H 0.09 0.48 7.96 -51.93 -0.41 0.07 16 39 H 0.08 0.54 8.14 -51.93 -0.42 0.12 16 40 H 0.39 5.24 5.77 -40.82 -0.24 5.01 16 41 H 0.06 1.24 8.14 -51.93 -0.42 0.82 16 42 H 0.06 1.24 8.14 -51.93 -0.42 0.81 16 43 H 0.03 0.40 6.86 -51.93 -0.36 0.04 16 44 H 0.07 1.27 6.62 -51.93 -0.34 0.93 16 45 H 0.05 0.88 8.14 -51.93 -0.42 0.46 16 46 H 0.05 0.88 8.14 -51.93 -0.42 0.46 16 47 H 0.07 1.27 6.62 -51.93 -0.34 0.92 16 48 H 0.03 0.40 6.86 -51.93 -0.36 0.05 16 49 H 0.02 0.51 8.14 -51.93 -0.42 0.08 16 50 H 0.02 0.50 8.14 -51.93 -0.42 0.08 16 51 H 0.26 7.34 8.31 -40.82 -0.34 7.00 16 52 H 0.09 1.14 8.06 -51.93 -0.42 0.72 16 53 H 0.07 0.74 8.10 -51.93 -0.42 0.32 16 LS Contribution 423.75 15.07 6.39 6.39 Total: -1.00 -34.90 423.75 -9.04 -43.94 By element: Atomic # 1 Polarization: 9.17 SS G_CDS: -9.49 Total: -0.33 kcal Atomic # 6 Polarization: 2.31 SS G_CDS: -0.08 Total: 2.24 kcal Atomic # 7 Polarization: -46.67 SS G_CDS: -0.25 Total: -46.93 kcal Atomic # 8 Polarization: -20.95 SS G_CDS: -0.58 Total: -21.53 kcal Atomic # 14 Polarization: 21.25 SS G_CDS: -5.02 Total: 16.23 kcal Total LS contribution 6.39 Total: 6.39 kcal Total: -34.90 -9.04 -43.94 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. ZINC000875582861.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 -59.461 kcal (2) G-P(sol) polarization free energy of solvation -34.900 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -94.361 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.039 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.940 kcal (6) G-S(sol) free energy of system = (1) + (5) -103.400 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.71 seconds