Wall clock time and date at job start Sat Mar 6 2021 00:49:33 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= 0 * 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 N 1.46497 * 1 3 3 C 1.34963 * 125.63683 * 2 1 4 4 C 1.35482 * 108.98527 * 180.26735 * 3 2 1 5 5 C 1.50701 * 126.07909 * 179.70952 * 4 3 2 6 6 O 1.42898 * 109.47484 * 300.00463 * 5 4 3 7 7 Si 1.86303 * 109.47117 * 180.02562 * 5 4 3 8 8 C 1.39803 * 107.84431 * 359.73831 * 4 3 2 9 9 C 1.37699 * 125.63788 * 179.80904 * 2 1 3 10 10 C 1.46496 * 126.25662 * 359.97438 * 9 2 1 11 11 O 1.21627 * 119.99805 * 179.71512 * 10 9 2 12 12 O 1.34886 * 120.00360 * 359.72045 * 10 9 2 13 13 C 1.45200 * 117.00268 * 179.97438 * 12 10 9 14 14 C 1.52995 * 109.47432 * 180.02562 * 13 12 10 15 15 H 1.08995 * 109.47210 * 180.02562 * 14 13 12 16 16 O 1.42968 * 109.46737 * 299.99822 * 14 13 12 17 17 C 1.43091 * 113.77035 * 178.79414 * 16 14 13 18 18 C 1.53255 * 108.94329 * 302.03139 * 17 16 14 19 19 H 1.09001 * 109.67936 * 294.65045 * 18 17 16 20 20 N 1.46500 * 109.57547 * 174.33102 * 18 17 16 21 21 C 1.34532 * 124.46187 * 120.63894 * 20 18 17 22 22 O 1.21444 * 125.70665 * 0.22677 * 21 20 18 23 23 C 1.47816 * 108.57928 * 179.97438 * 21 20 18 24 24 C 1.40943 * 105.87967 * 0.02562 * 23 21 20 25 25 C 1.38567 * 119.81285 * 179.97438 * 24 23 21 26 26 C 1.38614 * 119.72393 * 359.97438 * 25 24 23 27 27 C 1.38231 * 120.46047 * 359.97438 * 26 25 24 28 28 C 1.38572 * 134.29157 * 179.97438 * 23 21 20 29 29 C 1.34529 * 124.46147 * 300.59893 * 20 18 17 30 30 O 1.21439 * 125.70507 * 0.03486 * 29 20 18 31 31 C 1.53259 * 108.84856 * 54.52240 * 18 17 16 32 32 O 1.42967 * 109.47570 * 59.99431 * 14 13 12 33 33 H 1.09000 * 109.46757 * 270.19424 * 1 2 3 34 34 H 1.09004 * 109.46940 * 30.19414 * 1 2 3 35 35 H 1.08998 * 109.47308 * 150.19219 * 1 2 3 36 36 H 1.07999 * 125.50816 * 0.02562 * 3 2 1 37 37 H 1.09002 * 109.47143 * 60.00528 * 5 4 3 38 38 H 0.96704 * 114.00048 * 300.00216 * 6 5 4 39 39 H 1.48506 * 109.99960 * 180.02562 * 7 5 4 40 40 H 1.48498 * 109.99897 * 301.31767 * 7 5 4 41 41 H 1.08003 * 126.51555 * 179.97438 * 8 4 3 42 42 H 1.08996 * 109.47369 * 59.99399 * 13 12 10 43 43 H 1.09005 * 109.46986 * 299.99814 * 13 12 10 44 44 H 1.09001 * 109.56372 * 182.18954 * 17 16 14 45 45 H 1.09000 * 109.55839 * 61.86906 * 17 16 14 46 46 H 1.08007 * 120.14183 * 180.02562 * 25 24 23 47 47 H 1.08001 * 119.77214 * 180.02562 * 26 25 24 48 48 H 1.07997 * 119.77548 * 180.02562 * 27 26 25 49 49 H 1.08002 * 120.14186 * 0.02562 * 28 23 21 50 50 H 1.08998 * 109.55588 * 65.31325 * 31 18 17 51 51 H 1.08995 * 109.56292 * 185.63856 * 31 18 17 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 7 1.4650 0.0000 0.0000 3 6 2.2513 1.0969 0.0000 4 6 3.5493 0.7087 -0.0060 5 6 4.7486 1.6213 -0.0142 6 8 4.7136 2.4434 -1.1825 7 14 6.3064 0.5995 -0.0210 8 6 3.5784 -0.6891 -0.0038 9 6 2.2673 -1.1191 0.0037 10 6 1.8120 -2.5115 0.0089 11 8 2.6242 -3.4169 0.0066 12 8 0.4922 -2.7896 0.0161 13 6 0.1138 -4.1914 0.0203 14 6 -1.4117 -4.3080 0.0276 15 1 -1.6957 -5.3603 0.0312 16 8 -1.9327 -3.6702 1.1963 17 6 -3.3607 -3.7014 1.2823 18 6 -3.9489 -3.0283 0.0374 19 1 -3.6859 -1.9705 0.0332 20 7 -5.4068 -3.1716 0.0446 21 6 -6.2729 -2.1422 0.0407 22 8 -5.9747 -0.9651 0.0270 23 6 -7.6483 -2.6839 0.0497 24 6 -7.5103 -4.0865 0.0596 25 6 -8.6393 -4.8897 0.0703 26 6 -9.8972 -4.3073 0.0716 27 6 -10.0324 -2.9317 0.0630 28 6 -8.9121 -2.1156 0.0510 29 6 -6.0559 -4.3500 0.0551 30 8 -5.5340 -5.4465 0.0607 31 6 -3.3725 -3.7057 -1.2107 32 8 -1.9438 -3.6742 -1.1383 33 1 -0.3633 0.0035 1.0277 34 1 -0.3633 0.8883 -0.5169 35 1 -0.3634 -0.8917 -0.5108 36 1 1.9023 2.1189 0.0004 37 1 4.7313 2.2520 0.8746 38 1 4.7265 1.9478 -2.0128 39 1 7.4964 1.4879 -0.0285 40 1 6.3399 -0.2834 1.1725 41 1 4.4596 -1.3135 -0.0077 42 1 0.5198 -4.6747 0.9089 43 1 0.5107 -4.6776 -0.8710 44 1 -3.6844 -3.1652 2.1744 45 1 -3.7007 -4.7358 1.3329 46 1 -8.5398 -5.9652 0.0783 47 1 -10.7777 -4.9326 0.0803 48 1 -11.0178 -2.4896 0.0646 49 1 -9.0237 -1.0414 0.0440 50 1 -3.7129 -4.7402 -1.2545 51 1 -3.7045 -3.1726 -2.1015 There are 78 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 78 No. of singly occupied orbitals= 1 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=0 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 s_1458_10804114_13594054.mol2 51 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Mar 6 2021 00:49:33 Heat of formation + Delta-G solvation = -139.411448 kcal Electronic energy + Delta-G solvation = -41977.624850 eV Core-core repulsion = 36391.193371 eV Total energy + Delta-G solvation = -5586.431479 eV No. of doubly occupied orbitals = 78 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 429.144 amu Computer time = 1.68 seconds Orbital eigenvalues (eV) -43.75777 -42.58632 -41.43446 -40.69974 -39.89805 -39.65685 -37.66573 -37.49609 -37.11867 -37.06763 -34.65195 -34.02479 -32.42781 -31.98182 -30.91029 -29.80730 -28.50641 -27.50377 -26.42095 -26.01728 -25.48959 -24.58649 -23.64205 -23.49271 -22.41190 -21.16575 -21.03710 -20.94779 -19.14187 -19.12460 -19.01452 -18.83180 -18.20507 -17.76868 -17.69238 -17.29936 -17.26199 -17.21934 -16.86888 -16.52380 -16.32010 -16.19187 -16.16239 -15.93749 -15.67839 -15.59274 -15.30429 -15.25009 -15.18027 -14.77541 -14.77065 -14.69847 -14.43654 -14.24810 -14.03505 -13.86682 -13.81426 -13.59673 -13.40667 -13.18625 -12.98236 -12.90792 -12.80793 -12.46362 -12.20132 -12.06323 -11.82536 -11.78243 -11.75620 -11.68646 -11.56097 -10.96879 -10.85368 -10.51378 -10.49000 -10.32553 -9.72132 -9.28084 -4.84710 -1.23532 -0.32252 0.26500 0.73931 0.83269 1.45042 1.48546 1.55791 1.59230 1.76473 1.87815 2.12634 2.15839 2.19492 2.22674 2.30794 2.31715 2.99014 3.11072 3.20334 3.30086 3.43430 3.51774 3.61741 3.63629 3.67935 3.80583 3.82549 3.85958 3.89038 3.94990 4.03528 4.05145 4.10019 4.10119 4.18063 4.19267 4.27024 4.30120 4.39854 4.44372 4.48114 4.54475 4.63263 4.65335 4.69818 4.83192 4.87627 4.93493 5.08038 5.25369 5.28136 5.34062 5.41849 5.65093 5.71201 5.89863 5.89918 6.12824 6.34053 6.74138 6.78199 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.063 3.937 2 N -0.412 5.412 3 C 0.066 3.934 4 C -0.219 4.219 5 C -0.031 4.031 6 O -0.546 6.546 7 Si 0.691 3.309 8 C -0.091 4.091 9 C -0.044 4.044 10 C 0.539 3.461 11 O -0.499 6.499 12 O -0.341 6.341 13 C 0.087 3.913 14 C 0.244 3.756 15 H 0.089 0.911 16 O -0.370 6.370 17 C 0.047 3.953 18 C 0.075 3.925 19 H 0.129 0.871 20 N -0.571 5.571 21 C 0.577 3.423 22 O -0.454 6.454 23 C -0.141 4.141 24 C -0.143 4.143 25 C -0.041 4.041 26 C -0.093 4.093 27 C -0.092 4.092 28 C -0.042 4.042 29 C 0.576 3.424 30 O -0.458 6.458 31 C 0.047 3.953 32 O -0.371 6.371 33 H 0.081 0.919 34 H 0.088 0.912 35 H 0.105 0.895 36 H 0.175 0.825 37 H 0.110 0.890 38 H 0.378 0.622 39 H -0.257 1.257 40 H -0.257 1.257 41 H 0.156 0.844 42 H 0.100 0.900 43 H 0.100 0.900 44 H 0.109 0.891 45 H 0.076 0.924 46 H 0.144 0.856 47 H 0.145 0.855 48 H 0.146 0.854 49 H 0.145 0.855 50 H 0.075 0.925 51 H 0.110 0.890 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.669 -1.583 -1.611 9.929 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 -0.078 4.078 2 N -0.085 5.085 3 C -0.073 4.073 4 C -0.225 4.225 5 C -0.143 4.143 6 O -0.351 6.351 7 Si 0.593 3.407 8 C -0.117 4.117 9 C -0.153 4.153 10 C 0.385 3.615 11 O -0.387 6.387 12 O -0.258 6.258 13 C 0.013 3.987 14 C 0.149 3.851 15 H 0.106 0.894 16 O -0.290 6.290 17 C -0.030 4.030 18 C -0.027 4.027 19 H 0.146 0.854 20 N -0.316 5.316 21 C 0.366 3.634 22 O -0.324 6.324 23 C -0.144 4.144 24 C -0.146 4.146 25 C -0.060 4.060 26 C -0.111 4.111 27 C -0.110 4.110 28 C -0.060 4.060 29 C 0.365 3.635 30 O -0.329 6.329 31 C -0.030 4.030 32 O -0.290 6.290 33 H 0.099 0.901 34 H 0.107 0.893 35 H 0.123 0.877 36 H 0.192 0.808 37 H 0.128 0.872 38 H 0.226 0.774 39 H -0.182 1.182 40 H -0.182 1.182 41 H 0.174 0.826 42 H 0.118 0.882 43 H 0.118 0.882 44 H 0.128 0.872 45 H 0.094 0.906 46 H 0.162 0.838 47 H 0.163 0.837 48 H 0.163 0.837 49 H 0.163 0.837 50 H 0.093 0.907 51 H 0.128 0.872 Dipole moment (debyes) X Y Z Total from point charges -8.300 -1.465 -0.743 8.461 hybrid contribution -1.013 -0.048 0.399 1.090 sum -9.314 -1.513 -0.344 9.442 Atomic orbital electron populations 1.22396 0.75319 1.05641 1.04437 1.44009 1.07221 1.05221 1.52091 1.21845 0.89956 0.91830 1.03645 1.19826 0.94792 0.93601 1.14311 1.24314 1.02653 0.96711 0.90577 1.86465 1.97181 1.35913 1.15565 0.94604 0.75955 0.81367 0.88770 1.21208 0.94446 0.94111 1.01928 1.19249 0.90450 0.83880 1.21719 1.19763 0.80618 0.87996 0.73170 1.90932 1.54785 1.46278 1.46662 1.86681 1.25574 1.29040 1.84542 1.23105 0.90230 0.80540 1.04853 1.23686 0.91253 0.93885 0.76274 0.89361 1.88256 1.19380 1.79347 1.41970 1.23035 0.80859 1.01859 0.97277 1.22642 0.76452 1.04992 0.98576 0.85362 1.46452 1.07786 1.08840 1.68531 1.18412 0.85716 0.84712 0.74542 1.90850 1.82970 1.15376 1.43167 1.20462 0.93849 0.94203 1.05926 1.20453 0.93441 0.94643 1.06110 1.20866 0.90015 1.00712 0.94402 1.21567 0.97419 0.95392 0.96716 1.21569 0.99183 0.93626 0.96620 1.20873 0.89371 1.01388 0.94415 1.18457 0.87345 0.83254 0.74396 1.90819 1.74289 1.24197 1.43618 1.23036 0.80865 1.01812 0.97296 1.88246 1.19232 1.79537 1.41976 0.90087 0.89341 0.87697 0.80789 0.87248 0.77427 1.18224 1.18186 0.82640 0.88222 0.88167 0.87246 0.90615 0.83781 0.83674 0.83664 0.83749 0.90650 0.87201 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 0.06 -0.05 10.55 59.85 0.63 0.58 16 2 N -0.41 -0.54 3.15 -120.41 -0.38 -0.92 16 3 C 0.07 0.05 11.25 -17.16 -0.19 -0.14 16 4 C -0.22 -0.30 5.41 -105.02 -0.57 -0.87 16 5 C -0.03 -0.02 3.00 36.01 0.11 0.09 16 6 O -0.55 -0.48 12.87 -35.23 -0.45 -0.94 16 7 Si 0.69 0.32 30.64 -169.99 -5.21 -4.89 16 8 C -0.09 -0.22 9.15 -39.09 -0.36 -0.58 16 9 C -0.04 -0.14 6.88 -81.99 -0.56 -0.70 16 10 C 0.54 2.11 7.92 34.06 0.27 2.38 16 11 O -0.50 -2.97 16.68 -19.36 -0.32 -3.29 16 12 O -0.34 -0.83 7.46 -47.59 -0.35 -1.19 16 13 C 0.09 0.06 5.56 37.15 0.21 0.26 16 14 C 0.24 0.05 3.59 37.15 0.13 0.19 16 15 H 0.09 -0.13 8.14 -51.93 -0.42 -0.56 16 16 O -0.37 -0.41 10.44 -63.30 -0.66 -1.07 16 17 C 0.05 -0.01 6.32 37.29 0.24 0.23 16 18 C 0.08 -0.02 3.08 -67.66 -0.21 -0.23 16 19 H 0.13 0.00 7.59 -51.93 -0.39 -0.39 16 20 N -0.57 0.00 2.53 -110.23 -0.28 -0.28 16 21 C 0.58 0.43 8.02 -12.45 -0.10 0.33 16 22 O -0.45 -1.42 17.44 5.41 0.09 -1.32 16 23 C -0.14 0.12 6.40 -104.83 -0.67 -0.55 16 24 C -0.14 0.14 6.40 -104.84 -0.67 -0.53 16 25 C -0.04 0.12 10.09 -39.32 -0.40 -0.28 16 26 C -0.09 0.41 10.04 -39.45 -0.40 0.01 16 27 C -0.09 0.40 10.04 -39.45 -0.40 0.01 16 28 C -0.04 0.11 10.09 -39.32 -0.40 -0.28 16 29 C 0.58 0.19 7.35 -12.46 -0.09 0.10 16 30 O -0.46 -0.93 15.16 5.42 0.08 -0.85 16 31 C 0.05 -0.01 6.33 37.29 0.24 0.22 16 32 O -0.37 -0.35 10.44 -63.30 -0.66 -1.01 16 33 H 0.08 -0.09 8.14 -51.93 -0.42 -0.52 16 34 H 0.09 -0.24 8.14 -51.93 -0.42 -0.67 16 35 H 0.10 0.01 6.16 -51.93 -0.32 -0.31 16 36 H 0.17 -0.23 8.06 -52.49 -0.42 -0.66 16 37 H 0.11 0.10 7.96 -51.93 -0.41 -0.31 16 38 H 0.38 -1.01 8.70 45.56 0.40 -0.61 16 39 H -0.26 -0.86 7.11 56.52 0.40 -0.46 16 40 H -0.26 -0.82 7.11 56.52 0.40 -0.42 16 41 H 0.16 0.25 6.38 -52.48 -0.34 -0.09 16 42 H 0.10 0.00 8.14 -51.93 -0.42 -0.42 16 43 H 0.10 -0.02 8.14 -51.93 -0.42 -0.44 16 44 H 0.11 -0.10 8.14 -51.93 -0.42 -0.53 16 45 H 0.08 0.01 6.65 -51.93 -0.35 -0.34 16 46 H 0.14 -0.60 8.06 -52.48 -0.42 -1.02 16 47 H 0.15 -0.98 8.06 -52.49 -0.42 -1.40 16 48 H 0.15 -0.97 8.06 -52.49 -0.42 -1.40 16 49 H 0.14 -0.57 8.06 -52.49 -0.42 -1.00 16 50 H 0.08 0.00 6.69 -51.93 -0.35 -0.35 16 51 H 0.11 -0.12 8.14 -51.93 -0.42 -0.55 16 LS Contribution 435.90 15.07 6.57 6.57 Total: 0.00 -10.60 435.90 -10.79 -21.40 By element: Atomic # 1 Polarization: -6.40 SS G_CDS: -6.03 Total: -12.43 kcal Atomic # 6 Polarization: 3.41 SS G_CDS: -3.19 Total: 0.22 kcal Atomic # 7 Polarization: -0.53 SS G_CDS: -0.66 Total: -1.19 kcal Atomic # 8 Polarization: -7.39 SS G_CDS: -2.28 Total: -9.67 kcal Atomic # 14 Polarization: 0.32 SS G_CDS: -5.21 Total: -4.89 kcal Total LS contribution 6.57 Total: 6.57 kcal Total: -10.60 -10.79 -21.40 kcal The number of atoms in the molecule is 51 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. s_1458_10804114_13594054.mol2 51 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 -118.013 kcal (2) G-P(sol) polarization free energy of solvation -10.605 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -128.618 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.793 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -21.398 kcal (6) G-S(sol) free energy of system = (1) + (5) -139.411 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.68 seconds