Wall clock time and date at job start Tue Mar 31 2020 23:20:20 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 1.45205 * 1 3 3 C 1.34225 * 116.99512 * 2 1 4 4 O 1.20827 * 120.00574 * 0.02562 * 3 2 1 5 5 C 1.50704 * 119.99811 * 179.97438 * 3 2 1 6 6 C 1.53000 * 109.47046 * 180.02562 * 5 3 2 7 7 N 1.46506 * 109.47094 * 180.02562 * 6 5 3 8 8 C 1.36934 * 120.00023 * 266.71978 * 7 6 5 9 9 H 1.08005 * 119.99603 * 6.07286 * 8 7 6 10 10 C 1.38807 * 120.00078 * 186.07385 * 8 7 6 11 11 N 1.31615 * 120.00199 * 28.61370 * 10 8 7 12 12 Si 1.86803 * 119.99964 * 208.60906 * 10 8 7 13 13 H 1.48504 * 109.47014 * 90.00311 * 12 10 8 14 14 H 1.48495 * 109.47109 * 210.00404 * 12 10 8 15 15 H 1.48498 * 109.47008 * 330.00085 * 12 10 8 16 16 C 1.46498 * 119.99920 * 86.71845 * 7 6 5 17 17 C 1.50700 * 109.47052 * 90.00325 * 16 7 6 18 18 O 1.21277 * 120.00144 * 359.97438 * 17 16 7 19 19 N 1.34774 * 119.99567 * 180.02562 * 17 16 7 20 20 C 1.46500 * 120.00480 * 359.97438 * 19 17 16 21 21 C 1.46506 * 119.99639 * 180.02562 * 19 17 16 22 22 H 1.08991 * 109.47351 * 46.87424 * 21 19 17 23 23 C 1.53003 * 109.46871 * 286.87265 * 21 19 17 24 24 C 1.52998 * 109.47603 * 300.00522 * 23 21 19 25 25 C 1.53001 * 109.46880 * 300.00059 * 24 23 21 26 26 C 1.53002 * 109.47424 * 59.99633 * 25 24 23 27 27 C 1.52998 * 109.47257 * 166.87698 * 21 19 17 28 28 H 1.08995 * 109.47619 * 179.97438 * 27 21 19 29 29 C 1.53001 * 109.47155 * 300.00182 * 27 21 19 30 30 H 1.09006 * 109.47020 * 179.97438 * 1 2 3 31 31 H 1.08999 * 109.47307 * 299.99700 * 1 2 3 32 32 H 1.09001 * 109.47428 * 59.99968 * 1 2 3 33 33 H 1.09003 * 109.46738 * 60.00597 * 5 3 2 34 34 H 1.08995 * 109.47425 * 300.00423 * 5 3 2 35 35 H 1.08994 * 109.47357 * 60.00399 * 6 5 3 36 36 H 1.09002 * 109.47073 * 299.99916 * 6 5 3 37 37 H 0.96999 * 120.00567 * 180.02562 * 11 10 8 38 38 H 1.09004 * 109.47228 * 329.99756 * 16 7 6 39 39 H 1.09009 * 109.46849 * 210.00235 * 16 7 6 40 40 H 1.08996 * 109.47033 * 95.82334 * 20 19 17 41 41 H 1.09003 * 109.47253 * 215.82700 * 20 19 17 42 42 H 1.09001 * 109.46835 * 335.82283 * 20 19 17 43 43 H 1.09008 * 109.46885 * 60.00508 * 23 21 19 44 44 H 1.09003 * 109.46882 * 179.97438 * 23 21 19 45 45 H 1.08999 * 109.47272 * 59.99312 * 24 23 21 46 46 H 1.08997 * 109.47376 * 180.02562 * 24 23 21 47 47 H 1.08997 * 109.47708 * 180.02562 * 25 24 23 48 48 H 1.09007 * 109.47128 * 299.99985 * 25 24 23 49 49 H 1.08991 * 109.47011 * 60.00245 * 26 25 24 50 50 H 1.09006 * 109.46941 * 180.02562 * 26 25 24 51 51 H 1.08997 * 109.47056 * 36.03312 * 29 27 21 52 52 H 1.08999 * 109.47440 * 156.03603 * 29 27 21 53 53 H 1.09000 * 109.46409 * 276.03173 * 29 27 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 8 1.4521 0.0000 0.0000 3 6 2.0613 1.1960 0.0000 4 8 1.4033 2.2094 0.0005 5 6 3.5663 1.2750 0.0006 6 6 4.0000 2.7422 0.0011 7 7 5.4630 2.8190 0.0011 8 6 6.1433 2.9222 1.1850 9 1 5.6109 2.8484 2.1218 10 6 7.5170 3.1216 1.1811 11 7 8.0876 3.7523 0.1766 12 14 8.5558 2.4950 2.6016 13 1 9.0062 1.1098 2.3121 14 1 9.7396 3.3745 2.7747 15 1 7.7472 2.5025 3.8471 16 6 6.1983 2.7853 -1.2656 17 6 6.3761 4.1903 -1.7807 18 8 5.9320 5.1275 -1.1519 19 7 7.0277 4.4053 -2.9407 20 6 7.5637 3.2732 -3.7006 21 6 7.2011 5.7712 -3.4412 22 1 7.5477 6.4135 -2.6317 23 6 5.8641 6.2940 -3.9704 24 6 5.3775 5.3923 -5.1066 25 6 6.4091 5.3943 -6.2366 26 6 7.7462 4.8716 -5.7075 27 6 8.2327 5.7733 -4.5711 28 1 8.3614 6.7895 -4.9438 29 6 9.5697 5.2504 -4.0421 30 1 -0.3633 -1.0277 -0.0005 31 1 -0.3634 0.5138 0.8900 32 1 -0.3634 0.5138 -0.8900 33 1 3.9563 0.7808 -0.8892 34 1 3.9557 0.7810 0.8907 35 1 3.6100 3.2361 0.8910 36 1 3.6106 3.2365 -0.8889 37 1 9.0475 3.8913 0.1737 38 1 5.6391 2.1989 -1.9948 39 1 7.1759 2.3302 -1.1063 40 1 6.8500 2.9825 -4.4714 41 1 8.5053 3.5622 -4.1675 42 1 7.7347 2.4326 -3.0280 43 1 5.1291 6.2926 -3.1653 44 1 5.9930 7.3105 -4.3423 45 1 5.2486 4.3761 -4.7343 46 1 4.4253 5.7650 -5.4839 47 1 6.0624 4.7524 -7.0463 48 1 6.5381 6.4107 -6.6090 49 1 7.6173 3.8554 -5.3351 50 1 8.4812 4.8735 -6.5125 51 1 9.3881 4.4614 -3.3124 52 1 10.1571 4.8522 -4.8693 53 1 10.1163 6.0654 -3.5676 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 ZINC000879474331.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 23:20:20 Heat of formation + Delta-G solvation = -62.050797 kcal Electronic energy + Delta-G solvation = -32488.578135 eV Core-core repulsion = 28362.925152 eV Total energy + Delta-G solvation = -4125.652983 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.56 seconds Orbital eigenvalues (eV) -40.26533 -40.12258 -37.49636 -36.35451 -35.23950 -33.67755 -32.22104 -32.14893 -30.69863 -29.87706 -27.64075 -26.81715 -26.47354 -25.30645 -24.35458 -22.30670 -21.42089 -21.00356 -20.16684 -19.53007 -18.05099 -17.36679 -16.65893 -16.28661 -16.24441 -15.89214 -15.47280 -14.82282 -14.69282 -14.59559 -14.05955 -14.03535 -13.69975 -13.41275 -13.34534 -13.18118 -12.96987 -12.54743 -12.46197 -12.13986 -12.08253 -11.89569 -11.79165 -11.75483 -11.57676 -11.43500 -11.24602 -11.21141 -10.99902 -10.84656 -10.65576 -10.47437 -10.39425 -10.28154 -10.15197 -10.00759 -9.90801 -9.83338 -9.69488 -9.53165 -8.75664 -8.14204 -7.57824 -7.00148 -5.85230 -3.07950 2.54408 2.98885 3.39211 3.48086 3.48691 3.97359 4.29408 4.52513 4.87551 4.96319 5.02134 5.10275 5.15062 5.20899 5.29043 5.32906 5.42095 5.47108 5.56784 5.62520 5.65127 5.67258 5.69493 5.72991 5.80391 5.83239 5.86614 5.92119 6.00573 6.05481 6.13386 6.18109 6.20891 6.26511 6.29840 6.34865 6.45853 6.49818 6.54876 6.57018 6.62382 6.65018 6.73268 6.75168 6.96693 7.11026 7.60620 7.78222 8.05620 8.20287 8.61136 9.11509 9.71171 9.86898 10.22191 11.24450 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.008696 B = 0.004375 C = 0.003153 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3218.968339 B = 6398.030821 C = 8877.559427 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.035 3.965 2 O -0.367 6.367 3 C 0.462 3.538 4 O -0.512 6.512 5 C -0.133 4.133 6 C 0.166 3.834 7 N -0.570 5.570 8 C -0.253 4.253 9 H 0.080 0.920 10 C 0.004 3.996 11 N -0.887 5.887 12 Si 0.895 3.105 13 H -0.289 1.289 14 H -0.295 1.295 15 H -0.281 1.281 16 C 0.161 3.839 17 C 0.533 3.467 18 O -0.526 6.526 19 N -0.618 5.618 20 C 0.061 3.939 21 C 0.163 3.837 22 H 0.072 0.928 23 C -0.129 4.129 24 C -0.114 4.114 25 C -0.114 4.114 26 C -0.162 4.162 27 C -0.093 4.093 28 H 0.070 0.930 29 C -0.160 4.160 30 H 0.095 0.905 31 H 0.059 0.941 32 H 0.059 0.941 33 H 0.096 0.904 34 H 0.106 0.894 35 H 0.060 0.940 36 H 0.044 0.956 37 H 0.253 0.747 38 H 0.035 0.965 39 H 0.105 0.895 40 H 0.044 0.956 41 H 0.087 0.913 42 H 0.066 0.934 43 H 0.071 0.929 44 H 0.057 0.943 45 H 0.064 0.936 46 H 0.051 0.949 47 H 0.054 0.946 48 H 0.053 0.947 49 H 0.109 0.891 50 H 0.053 0.947 51 H 0.081 0.919 52 H 0.050 0.950 53 H 0.050 0.950 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.479 -4.597 -12.097 13.400 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 -0.060 4.060 2 O -0.284 6.284 3 C 0.305 3.695 4 O -0.399 6.399 5 C -0.174 4.174 6 C 0.038 3.962 7 N -0.288 5.288 8 C -0.382 4.382 9 H 0.098 0.902 10 C -0.194 4.194 11 N -0.532 5.532 12 Si 0.726 3.274 13 H -0.216 1.216 14 H -0.222 1.222 15 H -0.207 1.207 16 C 0.031 3.969 17 C 0.321 3.679 18 O -0.399 6.399 19 N -0.356 5.356 20 C -0.082 4.082 21 C 0.059 3.941 22 H 0.090 0.910 23 C -0.168 4.168 24 C -0.151 4.151 25 C -0.151 4.151 26 C -0.198 4.198 27 C -0.112 4.112 28 H 0.089 0.911 29 C -0.217 4.217 30 H 0.114 0.886 31 H 0.078 0.922 32 H 0.078 0.922 33 H 0.114 0.886 34 H 0.124 0.876 35 H 0.078 0.922 36 H 0.063 0.937 37 H 0.063 0.937 38 H 0.053 0.947 39 H 0.122 0.878 40 H 0.062 0.938 41 H 0.105 0.895 42 H 0.084 0.916 43 H 0.090 0.910 44 H 0.075 0.925 45 H 0.082 0.918 46 H 0.070 0.930 47 H 0.073 0.927 48 H 0.071 0.929 49 H 0.126 0.874 50 H 0.072 0.928 51 H 0.099 0.901 52 H 0.069 0.931 53 H 0.069 0.931 Dipole moment (debyes) X Y Z Total from point charges -3.790 -3.724 -11.693 12.844 hybrid contribution 0.565 0.002 0.625 0.843 sum -3.225 -3.722 -11.068 12.114 Atomic orbital electron populations 1.23168 0.77460 1.03054 1.02269 1.86567 1.22701 1.34587 1.84518 1.24409 0.92742 0.80808 0.71514 1.90642 1.67465 1.36347 1.45457 1.22392 0.84713 1.04843 1.05426 1.20457 0.84766 0.89810 1.01161 1.43938 0.99513 1.82877 1.02498 1.19245 0.89807 1.44100 0.85002 0.90241 1.24650 0.97348 0.99616 0.97771 1.70045 1.10091 1.39774 1.33255 0.86366 0.80076 0.78674 0.82322 1.21600 1.22187 1.20652 1.20831 0.98260 0.91659 0.86195 1.21901 0.75122 0.93772 0.77111 1.90510 1.49234 1.44973 1.55215 1.47991 1.59322 1.04603 1.23730 1.22432 0.99195 0.90340 0.96197 1.20666 0.93437 0.85355 0.94684 0.91013 1.21882 0.98668 0.98037 0.98190 1.21445 0.97398 1.00752 0.95526 1.21484 0.95683 1.00480 0.97480 1.22759 0.96429 1.03171 0.97456 1.21293 0.94954 0.99608 0.95336 0.91130 1.22134 0.96044 1.02243 1.01264 0.88637 0.92190 0.92247 0.88576 0.87558 0.92202 0.93718 0.93707 0.94691 0.87774 0.93820 0.89524 0.91575 0.90997 0.92461 0.91766 0.93019 0.92719 0.92866 0.87389 0.92819 0.90072 0.93079 0.93078 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 20. 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 0.37 10.56 101.05 1.07 1.44 16 2 O -0.37 -5.26 10.57 -39.25 -0.41 -5.68 16 3 C 0.46 7.68 7.96 36.01 0.29 7.96 16 4 O -0.51 -9.86 15.73 -18.75 -0.29 -10.16 16 5 C -0.13 -2.23 6.14 -27.88 -0.17 -2.40 16 6 C 0.17 3.49 4.96 -4.04 -0.02 3.47 16 7 N -0.57 -13.53 2.02 -174.60 -0.35 -13.88 16 8 C -0.25 -6.66 9.66 -15.06 -0.15 -6.80 16 9 H 0.08 2.09 7.97 -52.48 -0.42 1.67 16 10 C 0.00 0.11 4.83 -17.43 -0.08 0.03 16 11 N -0.89 -23.95 9.21 55.49 0.51 -23.44 16 12 Si 0.90 21.06 29.64 -169.99 -5.04 16.03 16 13 H -0.29 -6.69 7.11 56.52 0.40 -6.29 16 14 H -0.30 -7.17 7.11 56.52 0.40 -6.77 16 15 H -0.28 -6.62 7.11 56.52 0.40 -6.21 16 16 C 0.16 3.52 3.91 -5.19 -0.02 3.50 16 17 C 0.53 12.08 5.61 -10.99 -0.06 12.02 16 18 O -0.53 -14.36 15.20 5.56 0.08 -14.28 16 19 N -0.62 -11.16 1.93 -183.36 -0.35 -11.51 16 20 C 0.06 0.87 7.00 59.85 0.42 1.29 16 21 C 0.16 2.75 2.18 -67.93 -0.15 2.60 16 22 H 0.07 1.46 7.95 -51.93 -0.41 1.05 16 23 C -0.13 -2.06 5.42 -26.73 -0.14 -2.20 16 24 C -0.11 -1.54 5.69 -26.73 -0.15 -1.70 16 25 C -0.11 -1.30 5.92 -26.73 -0.16 -1.45 16 26 C -0.16 -1.84 4.54 -26.73 -0.12 -1.97 16 27 C -0.09 -1.23 2.47 -90.62 -0.22 -1.45 16 28 H 0.07 0.89 8.14 -51.93 -0.42 0.47 16 29 C -0.16 -2.10 8.28 37.16 0.31 -1.80 16 30 H 0.10 0.72 8.14 -51.93 -0.42 0.30 16 31 H 0.06 0.65 8.13 -51.93 -0.42 0.22 16 32 H 0.06 0.63 8.13 -51.93 -0.42 0.21 16 33 H 0.10 1.46 8.14 -51.93 -0.42 1.03 16 34 H 0.11 1.75 8.14 -51.93 -0.42 1.33 16 35 H 0.06 1.35 7.97 -51.93 -0.41 0.93 16 36 H 0.04 0.97 8.05 -51.93 -0.42 0.55 16 37 H 0.25 6.75 8.31 -40.82 -0.34 6.41 16 38 H 0.04 0.66 8.04 -51.93 -0.42 0.24 16 39 H 0.10 2.43 5.53 -51.92 -0.29 2.14 16 40 H 0.04 0.55 5.93 -51.93 -0.31 0.24 16 41 H 0.09 1.10 3.08 -51.93 -0.16 0.94 16 42 H 0.07 0.98 6.24 -51.93 -0.32 0.66 16 43 H 0.07 1.38 7.18 -51.92 -0.37 1.01 16 44 H 0.06 0.82 8.14 -51.93 -0.42 0.40 16 45 H 0.06 0.95 6.56 -51.93 -0.34 0.60 16 46 H 0.05 0.66 8.14 -51.93 -0.42 0.24 16 47 H 0.05 0.56 8.14 -51.93 -0.42 0.14 16 48 H 0.05 0.59 8.14 -51.93 -0.42 0.16 16 49 H 0.11 1.24 2.81 -63.52 -0.18 1.06 16 50 H 0.05 0.55 8.12 -51.93 -0.42 0.12 16 51 H 0.08 1.24 5.31 -51.93 -0.28 0.96 16 52 H 0.05 0.56 7.91 -51.93 -0.41 0.15 16 53 H 0.05 0.69 8.14 -51.93 -0.42 0.26 16 LS Contribution 397.24 15.07 5.99 5.99 Total: -1.00 -31.97 397.24 -8.19 -40.16 By element: Atomic # 1 Polarization: 13.18 SS G_CDS: -8.94 Total: 4.24 kcal Atomic # 6 Polarization: 11.91 SS G_CDS: 0.63 Total: 12.54 kcal Atomic # 7 Polarization: -48.64 SS G_CDS: -0.20 Total: -48.84 kcal Atomic # 8 Polarization: -29.49 SS G_CDS: -0.63 Total: -30.11 kcal Atomic # 14 Polarization: 21.06 SS G_CDS: -5.04 Total: 16.03 kcal Total LS contribution 5.99 Total: 5.99 kcal Total: -31.97 -8.19 -40.16 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. ZINC000879474331.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 -21.890 kcal (2) G-P(sol) polarization free energy of solvation -31.973 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -53.864 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.187 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.160 kcal (6) G-S(sol) free energy of system = (1) + (5) -62.051 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.56 seconds