Wall clock time and date at job start Sat Apr 11 2020 06:12:40 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 1.52997 * 1 3 3 H 1.09004 * 109.46812 * 2 1 4 4 C 1.50701 * 109.47247 * 240.00079 * 2 1 3 5 5 H 1.07995 * 120.00006 * 240.00415 * 4 2 1 6 6 C 1.37875 * 120.00190 * 59.99565 * 4 2 1 7 7 N 1.31520 * 119.99966 * 0.02562 * 6 4 2 8 8 Si 1.86800 * 120.00189 * 180.02562 * 6 4 2 9 9 H 1.48494 * 109.47195 * 359.97438 * 8 6 4 10 10 H 1.48502 * 109.47151 * 120.00429 * 8 6 4 11 11 H 1.48503 * 109.46944 * 240.00418 * 8 6 4 12 12 N 1.46498 * 109.47036 * 120.00065 * 2 1 3 13 13 C 1.34777 * 119.99828 * 274.72131 * 12 2 1 14 14 O 1.21283 * 120.00222 * 0.28168 * 13 12 2 15 15 C 1.50703 * 120.00290 * 180.27728 * 13 12 2 16 16 H 1.08998 * 109.46954 * 300.00581 * 15 13 12 17 17 C 1.53001 * 109.46771 * 60.00208 * 15 13 12 18 18 C 1.53000 * 109.46790 * 180.02562 * 17 15 13 19 19 C 1.52997 * 109.47273 * 299.99621 * 18 17 15 20 20 C 1.53008 * 109.46784 * 59.99960 * 19 18 17 21 21 C 1.52990 * 109.47398 * 180.02562 * 15 13 12 22 22 H 1.09011 * 109.47182 * 60.00188 * 21 15 13 23 23 N 1.46502 * 109.47585 * 300.00299 * 21 15 13 24 24 C 1.34775 * 120.00523 * 154.99743 * 23 21 15 25 25 O 1.21519 * 119.99708 * 0.02562 * 24 23 21 26 26 O 1.34636 * 120.00223 * 179.97438 * 24 23 21 27 27 C 1.45193 * 116.99972 * 180.02562 * 26 24 23 28 28 C 1.53007 * 109.47294 * 59.99873 * 27 26 24 29 29 C 1.52995 * 109.47282 * 180.02562 * 27 26 24 30 30 C 1.53010 * 109.47099 * 299.99960 * 27 26 24 31 31 H 1.08997 * 109.47293 * 300.00104 * 1 2 3 32 32 H 1.09003 * 109.47189 * 60.00254 * 1 2 3 33 33 H 1.09009 * 109.47238 * 180.02562 * 1 2 3 34 34 H 0.96995 * 120.00431 * 179.97438 * 7 6 4 35 35 H 0.97001 * 120.00384 * 95.00578 * 12 2 1 36 36 H 1.09008 * 109.47076 * 299.99851 * 17 15 13 37 37 H 1.08992 * 109.47503 * 60.00389 * 17 15 13 38 38 H 1.09005 * 109.46653 * 180.02562 * 18 17 15 39 39 H 1.08998 * 109.47307 * 60.00145 * 18 17 15 40 40 H 1.08998 * 109.47382 * 300.00478 * 19 18 17 41 41 H 1.08993 * 109.47703 * 180.02562 * 19 18 17 42 42 H 1.09001 * 109.46762 * 180.02562 * 20 19 18 43 43 H 1.08999 * 109.46696 * 60.00678 * 20 19 18 44 44 H 0.96998 * 119.99340 * 334.99493 * 23 21 15 45 45 H 1.08993 * 109.47138 * 60.00381 * 28 27 26 46 46 H 1.09006 * 109.46841 * 180.02562 * 28 27 26 47 47 H 1.08994 * 109.47016 * 299.99606 * 28 27 26 48 48 H 1.09002 * 109.47067 * 59.99915 * 29 27 26 49 49 H 1.08997 * 109.47522 * 179.97438 * 29 27 26 50 50 H 1.09005 * 109.47199 * 300.00016 * 29 27 26 51 51 H 1.09000 * 109.46936 * 60.00368 * 30 27 26 52 52 H 1.09001 * 109.46866 * 179.97438 * 30 27 26 53 53 H 1.08993 * 109.46373 * 300.00120 * 30 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 6 1.5300 0.0000 0.0000 3 1 1.8933 1.0277 0.0000 4 6 2.0323 -0.7104 -1.2305 5 1 2.6532 -1.5885 -1.1314 6 6 1.6992 -0.2394 -2.4827 7 7 0.9434 0.8302 -2.6034 8 14 2.3213 -1.1204 -4.0080 9 1 3.1465 -2.2869 -3.6038 10 1 1.1660 -1.5867 -4.8161 11 1 3.1466 -0.1874 -4.8165 12 7 2.0183 -0.6906 1.1962 13 6 2.1523 -0.0169 2.3557 14 8 1.8638 1.1599 2.4102 15 6 2.6605 -0.7257 3.5847 16 1 1.9894 -1.5476 3.8337 17 6 4.0620 -1.2761 3.3129 18 6 4.5777 -1.9963 4.5604 19 6 4.6344 -1.0123 5.7306 20 6 3.2329 -0.4618 6.0023 21 6 2.7167 0.2586 4.7546 22 1 1.7180 0.6504 4.9481 23 7 3.6185 1.3637 4.4203 24 6 3.4656 2.5624 5.0171 25 8 2.5800 2.7264 5.8328 26 8 4.2947 3.5779 4.7101 27 6 4.0716 4.8401 5.3921 28 6 4.2127 4.6361 6.9019 29 6 5.1026 5.8657 4.9169 30 6 2.6637 5.3489 5.0756 31 1 -0.3634 0.5138 0.8899 32 1 -0.3634 0.5138 -0.8900 33 1 -0.3634 -1.0277 0.0005 34 1 0.7094 1.1618 -3.4844 35 1 2.2491 -1.6318 1.1526 36 1 4.0216 -1.9776 2.4795 37 1 4.7332 -0.4543 3.0639 38 1 5.5764 -2.3881 4.3670 39 1 3.9065 -2.8183 4.8091 40 1 5.3057 -0.1903 5.4820 41 1 5.0023 -1.5252 6.6192 42 1 3.2734 0.2396 6.8357 43 1 2.5617 -1.2837 6.2510 44 1 4.3256 1.2326 3.7694 45 1 5.2156 4.2738 7.1274 46 1 4.0447 5.5837 7.4138 47 1 3.4778 3.9057 7.2401 48 1 5.0016 6.0110 3.8414 49 1 4.9349 6.8135 5.4285 50 1 6.1058 5.5035 5.1420 51 1 1.9288 4.6184 5.4138 52 1 2.4960 6.2963 5.5879 53 1 2.5632 5.4942 4.0000 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 ZINC001362272041.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 06:12:40 Heat of formation + Delta-G solvation = -144.197952 kcal Electronic energy + Delta-G solvation = -32085.532264 eV Core-core repulsion = 27956.317113 eV Total energy + Delta-G solvation = -4129.215151 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.31 seconds Orbital eigenvalues (eV) -40.84812 -39.78810 -37.84286 -36.56139 -34.79986 -34.15127 -33.28900 -32.42710 -31.17523 -29.75306 -28.55566 -27.43715 -27.33008 -25.26968 -23.76834 -23.16400 -22.09775 -21.11170 -20.03376 -19.42706 -19.01761 -18.14704 -17.25753 -16.39961 -16.04187 -15.72214 -15.45322 -15.24007 -14.95928 -14.64698 -14.40168 -14.24598 -14.09556 -13.61825 -13.56790 -13.31499 -12.68978 -12.58578 -12.54742 -12.39399 -12.21939 -12.18842 -12.11933 -11.88703 -11.81739 -11.70031 -11.42956 -11.30150 -11.22575 -11.09709 -10.95062 -10.77208 -10.73770 -10.64267 -10.30383 -10.27280 -10.24994 -10.13372 -9.83384 -9.07237 -9.03452 -8.74704 -8.55706 -7.89314 -6.13343 -4.22771 2.38522 3.15998 3.22139 3.29950 3.32189 3.38108 4.00477 4.29956 4.35281 4.55033 4.72574 4.73222 4.76857 4.79475 4.91766 5.04271 5.13353 5.19082 5.29956 5.33416 5.41891 5.48310 5.53012 5.53716 5.58999 5.63075 5.66013 5.77642 5.81029 5.88950 5.93062 5.96009 5.98976 5.99853 6.10956 6.22307 6.24464 6.28076 6.40260 6.60961 6.75072 6.82331 6.96898 7.15521 7.46578 7.55736 7.67354 7.70439 7.91203 8.14762 8.66386 8.66996 8.77760 9.13718 9.45199 10.92538 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011228 B = 0.003307 C = 0.002817 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2493.127103 B = 8464.981668 C = 9937.988193 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C 0.265 3.735 3 H 0.047 0.953 4 C -0.533 4.533 5 H 0.061 0.939 6 C 0.066 3.934 7 N -0.883 5.883 8 Si 0.900 3.100 9 H -0.273 1.273 10 H -0.283 1.283 11 H -0.283 1.283 12 N -0.708 5.708 13 C 0.500 3.500 14 O -0.542 6.542 15 C -0.120 4.120 16 H 0.107 0.893 17 C -0.112 4.112 18 C -0.118 4.118 19 C -0.119 4.119 20 C -0.132 4.132 21 C 0.189 3.811 22 H 0.096 0.904 23 N -0.685 5.685 24 C 0.659 3.341 25 O -0.576 6.576 26 O -0.366 6.366 27 C 0.137 3.863 28 C -0.181 4.181 29 C -0.141 4.141 30 C -0.183 4.183 31 H 0.014 0.986 32 H 0.089 0.911 33 H 0.025 0.975 34 H 0.263 0.737 35 H 0.387 0.613 36 H 0.076 0.924 37 H 0.066 0.934 38 H 0.065 0.935 39 H 0.065 0.935 40 H 0.062 0.938 41 H 0.061 0.939 42 H 0.070 0.930 43 H 0.074 0.926 44 H 0.401 0.599 45 H 0.056 0.944 46 H 0.066 0.934 47 H 0.088 0.912 48 H 0.067 0.933 49 H 0.077 0.923 50 H 0.064 0.936 51 H 0.089 0.911 52 H 0.065 0.935 53 H 0.062 0.938 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 8.707 -0.243 17.891 19.899 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 -0.205 4.205 2 C 0.164 3.836 3 H 0.065 0.935 4 C -0.571 4.571 5 H 0.079 0.921 6 C -0.137 4.137 7 N -0.520 5.520 8 Si 0.728 3.272 9 H -0.197 1.197 10 H -0.209 1.209 11 H -0.209 1.209 12 N -0.356 5.356 13 C 0.284 3.716 14 O -0.420 6.420 15 C -0.142 4.142 16 H 0.125 0.875 17 C -0.150 4.150 18 C -0.155 4.155 19 C -0.157 4.157 20 C -0.170 4.170 21 C 0.084 3.916 22 H 0.114 0.886 23 N -0.343 5.343 24 C 0.413 3.587 25 O -0.466 6.466 26 O -0.281 6.281 27 C 0.100 3.900 28 C -0.238 4.238 29 C -0.198 4.198 30 C -0.241 4.241 31 H 0.033 0.967 32 H 0.108 0.892 33 H 0.045 0.955 34 H 0.074 0.926 35 H 0.219 0.781 36 H 0.095 0.905 37 H 0.084 0.916 38 H 0.084 0.916 39 H 0.084 0.916 40 H 0.081 0.919 41 H 0.080 0.920 42 H 0.089 0.911 43 H 0.093 0.907 44 H 0.237 0.763 45 H 0.075 0.925 46 H 0.085 0.915 47 H 0.107 0.893 48 H 0.087 0.913 49 H 0.096 0.904 50 H 0.083 0.917 51 H 0.108 0.892 52 H 0.084 0.916 53 H 0.081 0.919 Dipole moment (debyes) X Y Z Total from point charges 7.975 0.902 18.158 19.853 hybrid contribution 0.597 -0.926 -1.313 1.714 sum 8.573 -0.024 16.845 18.901 Atomic orbital electron populations 1.22071 0.98576 0.99014 1.00854 1.18711 0.90936 0.93922 0.80068 0.93486 1.21250 1.32359 1.13160 0.90353 0.92091 1.24894 0.94825 0.94948 0.99068 1.69916 1.35907 1.22447 1.23750 0.86411 0.78604 0.79523 0.82655 1.19748 1.20894 1.20894 1.46522 1.65039 1.13387 1.10627 1.20279 0.79084 0.87601 0.84643 1.90708 1.50738 1.15775 1.84799 1.21741 0.99018 0.99038 0.94437 0.87456 1.21539 0.94502 1.00438 0.98561 1.21558 1.01306 0.98078 0.94564 1.21524 0.97147 0.98884 0.98151 1.22001 0.97125 1.00146 0.97769 1.20578 0.94295 0.84328 0.92364 0.88614 1.44517 1.36110 1.08281 1.45383 1.17923 0.79941 0.80914 0.79938 1.90843 1.35457 1.82964 1.37313 1.86293 1.55654 1.20685 1.65477 1.21983 0.96430 0.79840 0.91716 1.22503 1.03162 1.03685 0.94469 1.21852 0.98260 0.97023 1.02652 1.22508 0.96644 1.02402 1.02508 0.96717 0.89240 0.95546 0.92648 0.78061 0.90526 0.91566 0.91626 0.91578 0.91908 0.92015 0.91087 0.90710 0.76298 0.92473 0.91466 0.89329 0.91350 0.90392 0.91694 0.89233 0.91573 0.91936 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 -0.15 -3.65 9.26 37.16 0.34 -3.31 16 2 C 0.27 6.64 2.56 -69.08 -0.18 6.47 16 3 H 0.05 1.38 7.57 -51.93 -0.39 0.98 16 4 C -0.53 -13.89 8.73 -34.44 -0.30 -14.19 16 5 H 0.06 1.51 7.74 -52.49 -0.41 1.11 16 6 C 0.07 1.76 5.30 -17.82 -0.09 1.66 16 7 N -0.88 -24.82 11.32 55.43 0.63 -24.20 16 8 Si 0.90 20.46 29.54 -169.99 -5.02 15.44 16 9 H -0.27 -6.03 7.11 56.52 0.40 -5.63 16 10 H -0.28 -6.41 7.11 56.52 0.40 -6.00 16 11 H -0.28 -6.46 7.11 56.52 0.40 -6.06 16 12 N -0.71 -14.02 4.96 -54.93 -0.27 -14.29 16 13 C 0.50 9.34 6.96 -10.98 -0.08 9.26 16 14 O -0.54 -12.50 14.86 5.55 0.08 -12.42 16 15 C -0.12 -1.57 2.32 -91.77 -0.21 -1.78 16 16 H 0.11 1.19 8.14 -51.93 -0.42 0.77 16 17 C -0.11 -1.21 4.93 -26.73 -0.13 -1.34 16 18 C -0.12 -1.00 5.92 -26.73 -0.16 -1.16 16 19 C -0.12 -1.08 5.77 -26.73 -0.15 -1.23 16 20 C -0.13 -1.38 5.60 -26.71 -0.15 -1.53 16 21 C 0.19 2.56 1.78 -67.91 -0.12 2.43 16 22 H 0.10 1.56 7.54 -51.92 -0.39 1.17 16 23 N -0.69 -10.13 3.03 -58.71 -0.18 -10.31 16 24 C 0.66 10.83 8.02 54.05 0.43 11.27 16 25 O -0.58 -10.24 11.54 -19.29 -0.22 -10.47 16 26 O -0.37 -5.66 9.94 -40.31 -0.40 -6.06 16 27 C 0.14 1.76 1.13 -90.61 -0.10 1.65 16 28 C -0.18 -2.06 8.37 37.16 0.31 -1.75 16 29 C -0.14 -1.40 8.85 37.16 0.33 -1.07 16 30 C -0.18 -2.47 8.37 37.16 0.31 -2.16 16 31 H 0.01 0.34 8.14 -51.93 -0.42 -0.08 16 32 H 0.09 2.43 6.07 -51.93 -0.32 2.12 16 33 H 0.03 0.61 8.14 -51.92 -0.42 0.18 16 34 H 0.26 7.03 8.31 -40.82 -0.34 6.69 16 35 H 0.39 6.59 7.96 -40.82 -0.32 6.27 16 36 H 0.08 0.81 7.56 -51.92 -0.39 0.42 16 37 H 0.07 0.76 6.51 -51.93 -0.34 0.43 16 38 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 39 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 40 H 0.06 0.62 7.61 -51.93 -0.40 0.22 16 41 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 42 H 0.07 0.83 8.14 -51.93 -0.42 0.40 16 43 H 0.07 0.67 8.14 -51.93 -0.42 0.25 16 44 H 0.40 5.70 6.98 -40.82 -0.28 5.42 16 45 H 0.06 0.60 8.14 -51.93 -0.42 0.18 16 46 H 0.07 0.62 8.14 -51.93 -0.42 0.20 16 47 H 0.09 1.20 5.88 -51.93 -0.31 0.90 16 48 H 0.07 0.71 8.14 -51.93 -0.42 0.29 16 49 H 0.08 0.60 8.14 -51.93 -0.42 0.18 16 50 H 0.06 0.60 8.14 -51.93 -0.42 0.17 16 51 H 0.09 1.44 5.88 -51.93 -0.31 1.13 16 52 H 0.07 0.71 8.14 -51.93 -0.42 0.29 16 53 H 0.06 0.89 8.14 -51.93 -0.42 0.47 16 LS Contribution 408.14 15.07 6.15 6.15 Total: -1.00 -31.73 408.14 -8.51 -40.25 By element: Atomic # 1 Polarization: 22.01 SS G_CDS: -9.33 Total: 12.69 kcal Atomic # 6 Polarization: 3.17 SS G_CDS: 0.05 Total: 3.22 kcal Atomic # 7 Polarization: -48.97 SS G_CDS: 0.18 Total: -48.79 kcal Atomic # 8 Polarization: -28.41 SS G_CDS: -0.54 Total: -28.95 kcal Atomic # 14 Polarization: 20.46 SS G_CDS: -5.02 Total: 15.44 kcal Total LS contribution 6.15 Total: 6.15 kcal Total: -31.73 -8.51 -40.25 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. ZINC001362272041.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 -103.953 kcal (2) G-P(sol) polarization free energy of solvation -31.733 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -135.685 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.512 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.245 kcal (6) G-S(sol) free energy of system = (1) + (5) -144.198 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.31 seconds