Wall clock time and date at job start Sat Apr 11 2020 06:11:51 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 1.52994 * 1 3 3 C 1.52998 * 109.47294 * 2 1 4 4 C 1.52998 * 109.47398 * 120.00267 * 2 1 3 5 5 N 1.46498 * 109.47172 * 174.47303 * 4 2 1 6 6 C 1.46502 * 120.00218 * 275.81969 * 5 4 2 7 7 C 1.50709 * 109.47062 * 272.91659 * 6 5 4 8 8 O 1.21289 * 119.99502 * 4.98172 * 7 6 5 9 9 N 1.34768 * 119.99915 * 184.98712 * 7 6 5 10 10 C 1.37100 * 119.99785 * 179.97438 * 9 7 6 11 11 H 1.08007 * 119.99651 * 136.54824 * 10 9 7 12 12 C 1.38945 * 120.00082 * 316.54794 * 10 9 7 13 13 N 1.31408 * 120.00043 * 335.96280 * 12 10 9 14 14 Si 1.86801 * 119.99892 * 155.96311 * 12 10 9 15 15 H 1.48496 * 109.47225 * 180.02562 * 14 12 10 16 16 H 1.48501 * 109.47067 * 300.00125 * 14 12 10 17 17 H 1.48493 * 109.47372 * 59.99897 * 14 12 10 18 18 C 1.46504 * 120.00242 * 359.97438 * 9 7 6 19 19 C 1.52998 * 117.49814 * 183.20782 * 18 9 7 20 20 C 1.52996 * 117.50075 * 114.58366 * 18 9 7 21 21 C 1.34769 * 120.00113 * 95.81922 * 5 4 2 22 22 O 1.21513 * 120.00321 * 180.02562 * 21 5 4 23 23 O 1.34644 * 120.00049 * 359.97438 * 21 5 4 24 24 C 1.45198 * 116.99838 * 180.02562 * 23 21 5 25 25 C 1.52994 * 109.47343 * 60.00212 * 24 23 21 26 26 C 1.53003 * 109.46694 * 180.02562 * 24 23 21 27 27 C 1.53000 * 109.47357 * 299.99890 * 24 23 21 28 28 H 1.09001 * 109.47216 * 299.99747 * 1 2 3 29 29 H 1.08998 * 109.47276 * 59.99635 * 1 2 3 30 30 H 1.09001 * 109.47547 * 180.02562 * 1 2 3 31 31 H 1.09005 * 109.46748 * 240.00172 * 2 1 3 32 32 H 1.09003 * 109.47090 * 305.83075 * 3 2 1 33 33 H 1.08998 * 109.47255 * 65.82865 * 3 2 1 34 34 H 1.08997 * 109.47334 * 185.82640 * 3 2 1 35 35 H 1.09004 * 109.46983 * 54.47326 * 4 2 1 36 36 H 1.08992 * 109.46976 * 294.47440 * 4 2 1 37 37 H 1.08997 * 109.47909 * 152.91255 * 6 5 4 38 38 H 1.09003 * 109.46989 * 32.90943 * 6 5 4 39 39 H 0.97000 * 119.99988 * 353.78378 * 13 12 10 40 40 H 1.08999 * 115.54923 * 328.90926 * 18 9 7 41 41 H 1.09002 * 117.50128 * 359.97438 * 19 18 9 42 42 H 1.09000 * 117.49748 * 145.01858 * 19 18 9 43 43 H 1.08995 * 117.50320 * 214.98097 * 20 18 9 44 44 H 1.09004 * 117.49553 * 359.97438 * 20 18 9 45 45 H 1.09006 * 109.47256 * 59.99571 * 25 24 23 46 46 H 1.09005 * 109.47148 * 179.97438 * 25 24 23 47 47 H 1.08999 * 109.46989 * 299.99922 * 25 24 23 48 48 H 1.08992 * 109.47253 * 60.00036 * 26 24 23 49 49 H 1.09005 * 109.47231 * 180.02562 * 26 24 23 50 50 H 1.09006 * 109.46867 * 299.99794 * 26 24 23 51 51 H 1.08999 * 109.46871 * 60.00141 * 27 24 23 52 52 H 1.08995 * 109.46906 * 180.02562 * 27 24 23 53 53 H 1.09004 * 109.46927 * 300.00606 * 27 24 23 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 1.5299 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 6 2.0400 -0.7213 1.2492 5 7 3.4989 -0.8375 1.1845 6 6 4.1137 -1.9432 0.4456 7 6 4.2479 -3.1398 1.3518 8 8 3.7864 -3.1061 2.4730 9 7 4.8807 -4.2472 0.9165 10 6 5.0032 -5.3356 1.7411 11 1 4.8270 -6.3286 1.3545 12 6 5.3541 -5.1612 3.0742 13 7 6.0124 -4.0861 3.4451 14 14 4.8901 -6.4551 4.3391 15 1 5.3756 -6.0349 5.6780 16 1 3.4132 -6.6063 4.3736 17 1 5.5119 -7.7524 3.9712 18 6 5.4376 -4.2880 -0.4379 19 6 6.0776 -5.5988 -0.8994 20 6 6.9581 -4.3907 -0.5738 21 6 4.2756 0.0726 1.8046 22 8 5.4857 -0.0235 1.7506 23 8 3.7107 1.0891 2.4833 24 6 4.6085 2.0321 3.1260 25 6 5.5002 2.6882 2.0700 26 6 3.7901 3.1078 3.8430 27 6 5.4811 1.2935 4.1429 28 1 -0.3634 0.5138 0.8900 29 1 -0.3634 0.5139 -0.8899 30 1 -0.3634 -1.0276 0.0005 31 1 1.8932 -0.5138 -0.8901 32 1 1.5939 1.9856 -0.8332 33 1 1.7644 1.9253 0.9375 34 1 3.1249 1.4442 -0.1043 35 1 1.5981 -1.7164 1.3000 36 1 1.7597 -0.1536 2.1364 37 1 5.1002 -1.6413 0.0939 38 1 3.4873 -2.2024 -0.4080 39 1 6.3321 -3.4588 2.7778 40 1 4.9044 -3.6981 -1.1835 41 1 6.0847 -6.4308 -0.1952 42 1 5.9654 -5.8716 -1.9488 43 1 7.4252 -3.8686 -1.4088 44 1 7.5441 -4.4274 0.3446 45 1 4.8786 3.2143 1.3455 46 1 6.1739 3.3964 2.5525 47 1 6.0832 1.9216 1.5596 48 1 3.1552 2.6401 4.5953 49 1 4.4641 3.8160 4.3251 50 1 3.1682 3.6340 3.1187 51 1 6.0641 0.5269 3.6325 52 1 6.1547 2.0015 4.6256 53 1 4.8458 0.8261 4.8952 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 ZINC001323870864.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 06:11:51 Heat of formation + Delta-G solvation = -84.310964 kcal Electronic energy + Delta-G solvation = -33103.115193 eV Core-core repulsion = 28976.496937 eV Total energy + Delta-G solvation = -4126.618256 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.14 seconds Orbital eigenvalues (eV) -40.55762 -38.88781 -37.55914 -36.20991 -36.01529 -33.84686 -33.47646 -32.72373 -30.89088 -28.02549 -27.32378 -27.25478 -27.04048 -25.89164 -24.33337 -21.92199 -21.66643 -21.23613 -20.34170 -19.58167 -18.68459 -17.61078 -16.85308 -16.46109 -16.35943 -15.58324 -15.20352 -14.92515 -14.48645 -14.34012 -14.17846 -14.06342 -13.76758 -13.66933 -13.49954 -13.31501 -12.93688 -12.54812 -12.43749 -12.22945 -12.12539 -12.03749 -11.83664 -11.72998 -11.66109 -11.60515 -11.26822 -11.15279 -11.05799 -10.96188 -10.86014 -10.73771 -10.65095 -10.61874 -10.25280 -10.07211 -10.04426 -9.83575 -9.64883 -9.58358 -8.91179 -8.47500 -7.88429 -7.26311 -6.32005 -3.84316 2.47633 3.31948 3.43799 3.54345 3.68936 3.89070 4.12102 4.40059 4.66812 4.82522 4.86419 4.87860 4.90414 4.96800 5.06171 5.11119 5.28984 5.46755 5.50101 5.53041 5.55804 5.62989 5.64424 5.65722 5.69239 5.72517 5.76116 5.77625 5.84659 5.87041 5.88743 5.94335 5.98761 6.03059 6.05060 6.09283 6.10625 6.23234 6.29573 6.35365 6.38294 6.43724 6.64134 6.73339 6.77196 6.84230 6.91738 7.78129 7.93708 8.44694 8.76965 8.87641 9.21639 9.60120 10.11399 10.96136 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.010506 B = 0.004378 C = 0.003914 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2664.526162 B = 6393.954177 C = 7152.715296 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.143 4.143 2 C -0.115 4.115 3 C -0.139 4.139 4 C 0.124 3.876 5 N -0.569 5.569 6 C 0.117 3.883 7 C 0.446 3.554 8 O -0.528 6.528 9 N -0.428 5.428 10 C -0.433 4.433 11 H 0.071 0.929 12 C 0.041 3.959 13 N -0.838 5.838 14 Si 1.073 2.927 15 H -0.283 1.283 16 H -0.286 1.286 17 H -0.290 1.290 18 C 0.062 3.938 19 C -0.174 4.174 20 C -0.196 4.196 21 C 0.661 3.339 22 O -0.565 6.565 23 O -0.360 6.360 24 C 0.136 3.864 25 C -0.181 4.181 26 C -0.138 4.138 27 C -0.183 4.183 28 H 0.056 0.944 29 H 0.054 0.946 30 H 0.056 0.944 31 H 0.070 0.930 32 H 0.048 0.952 33 H 0.059 0.941 34 H 0.049 0.951 35 H 0.080 0.920 36 H 0.084 0.916 37 H 0.099 0.901 38 H 0.091 0.909 39 H 0.274 0.726 40 H 0.103 0.897 41 H 0.106 0.894 42 H 0.083 0.917 43 H 0.083 0.917 44 H 0.095 0.905 45 H 0.055 0.945 46 H 0.065 0.935 47 H 0.088 0.912 48 H 0.065 0.935 49 H 0.076 0.924 50 H 0.063 0.937 51 H 0.091 0.909 52 H 0.064 0.936 53 H 0.060 0.940 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -6.137 12.228 -7.415 15.562 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 -0.200 4.200 2 C -0.134 4.134 3 C -0.197 4.197 4 C 0.001 3.999 5 N -0.307 5.307 6 C -0.008 4.008 7 C 0.232 3.768 8 O -0.406 6.406 9 N -0.150 5.150 10 C -0.559 4.559 11 H 0.089 0.911 12 C -0.173 4.173 13 N -0.468 5.468 14 Si 0.901 3.099 15 H -0.208 1.208 16 H -0.213 1.213 17 H -0.216 1.216 18 C -0.044 4.044 19 C -0.212 4.212 20 C -0.235 4.235 21 C 0.416 3.584 22 O -0.454 6.454 23 O -0.275 6.275 24 C 0.099 3.901 25 C -0.238 4.238 26 C -0.195 4.195 27 C -0.240 4.240 28 H 0.075 0.925 29 H 0.074 0.926 30 H 0.075 0.925 31 H 0.088 0.912 32 H 0.067 0.933 33 H 0.078 0.922 34 H 0.068 0.932 35 H 0.098 0.902 36 H 0.102 0.898 37 H 0.117 0.883 38 H 0.109 0.891 39 H 0.085 0.915 40 H 0.120 0.880 41 H 0.125 0.875 42 H 0.102 0.898 43 H 0.101 0.899 44 H 0.114 0.886 45 H 0.075 0.925 46 H 0.084 0.916 47 H 0.107 0.893 48 H 0.084 0.916 49 H 0.095 0.905 50 H 0.082 0.918 51 H 0.110 0.890 52 H 0.083 0.917 53 H 0.079 0.921 Dipole moment (debyes) X Y Z Total from point charges -5.951 11.976 -5.159 14.334 hybrid contribution 0.169 0.290 -1.797 1.828 sum -5.782 12.266 -6.955 15.240 Atomic orbital electron populations 1.21748 0.94607 1.01927 1.01761 1.21558 0.95890 0.97005 0.98987 1.21777 1.00787 0.95560 1.01541 1.21616 0.79015 1.01471 0.97840 1.46120 1.06089 1.24797 1.53657 1.21337 0.99927 0.85986 0.93597 1.20493 0.82137 0.84921 0.89207 1.90612 1.49152 1.81125 1.19727 1.42976 1.47826 1.13925 1.10313 1.19760 1.55820 0.86596 0.93773 0.91088 1.26126 0.92729 1.00662 0.97775 1.70525 1.26575 1.11018 1.38717 0.83472 0.76590 0.73958 0.75922 1.20842 1.21251 1.21647 1.21861 0.92789 1.01001 0.88765 1.23059 1.04370 0.93337 1.00439 1.23212 0.95064 1.02548 1.02658 1.17790 0.84015 0.79295 0.77341 1.90889 1.12730 1.76932 1.64836 1.86282 1.40690 1.36546 1.64004 1.21962 0.88994 0.87035 0.92088 1.22497 1.00243 1.01902 0.99141 1.21828 1.00364 0.96914 1.00388 1.22496 1.00480 1.02029 0.99011 0.92502 0.92646 0.92468 0.91159 0.93254 0.92177 0.93192 0.90205 0.89758 0.88286 0.89106 0.91511 0.87952 0.87546 0.89836 0.89887 0.88648 0.92549 0.91563 0.89332 0.91556 0.90515 0.91808 0.88998 0.91728 0.92132 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -0.14 -1.41 9.19 37.15 0.34 -1.06 16 2 C -0.11 -1.37 3.12 -90.62 -0.28 -1.65 16 3 C -0.14 -1.62 8.02 37.16 0.30 -1.33 16 4 C 0.12 1.92 4.95 -4.04 -0.02 1.90 16 5 N -0.57 -10.59 1.78 -180.86 -0.32 -10.91 16 6 C 0.12 2.28 4.51 -5.19 -0.02 2.26 16 7 C 0.45 11.16 6.55 -10.99 -0.07 11.08 16 8 O -0.53 -15.49 14.33 5.55 0.08 -15.41 16 9 N -0.43 -10.63 2.59 -107.73 -0.28 -10.91 16 10 C -0.43 -11.94 8.04 -14.93 -0.12 -12.06 16 11 H 0.07 1.92 6.99 -52.48 -0.37 1.55 16 12 C 0.04 1.19 4.18 -17.47 -0.07 1.12 16 13 N -0.84 -26.15 12.39 55.50 0.69 -25.46 16 14 Si 1.07 26.15 29.98 -169.99 -5.10 21.05 16 15 H -0.28 -7.00 7.11 56.52 0.40 -6.60 16 16 H -0.29 -6.90 7.11 56.52 0.40 -6.50 16 17 H -0.29 -6.50 7.11 56.52 0.40 -6.10 16 18 C 0.06 1.22 5.78 -67.93 -0.39 0.83 16 19 C -0.17 -3.13 9.81 -26.73 -0.26 -3.40 16 20 C -0.20 -3.66 10.36 -26.73 -0.28 -3.94 16 21 C 0.66 13.05 6.45 54.05 0.35 13.40 16 22 O -0.57 -12.60 11.41 -19.28 -0.22 -12.83 16 23 O -0.36 -6.13 7.53 -40.34 -0.30 -6.43 16 24 C 0.14 1.99 1.13 -90.62 -0.10 1.89 16 25 C -0.18 -2.43 8.37 37.15 0.31 -2.12 16 26 C -0.14 -1.50 8.85 37.16 0.33 -1.17 16 27 C -0.18 -2.99 8.37 37.16 0.31 -2.68 16 28 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 29 H 0.05 0.48 8.14 -51.93 -0.42 0.05 16 30 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 31 H 0.07 0.84 8.04 -51.93 -0.42 0.42 16 32 H 0.05 0.49 8.14 -51.93 -0.42 0.07 16 33 H 0.06 0.71 7.87 -51.93 -0.41 0.30 16 34 H 0.05 0.67 7.02 -51.93 -0.36 0.30 16 35 H 0.08 1.31 8.11 -51.93 -0.42 0.89 16 36 H 0.08 1.32 7.20 -51.93 -0.37 0.95 16 37 H 0.10 1.96 7.16 -51.93 -0.37 1.59 16 38 H 0.09 1.44 7.65 -51.93 -0.40 1.04 16 39 H 0.27 8.82 7.50 -40.82 -0.31 8.52 16 40 H 0.10 1.69 7.10 -51.93 -0.37 1.32 16 41 H 0.11 2.14 6.55 -51.93 -0.34 1.80 16 42 H 0.08 1.22 8.14 -51.93 -0.42 0.80 16 43 H 0.08 1.30 8.14 -51.93 -0.42 0.87 16 44 H 0.10 2.09 8.14 -51.93 -0.42 1.67 16 45 H 0.06 0.68 8.14 -51.93 -0.42 0.26 16 46 H 0.07 0.74 8.14 -51.93 -0.42 0.32 16 47 H 0.09 1.45 5.88 -51.93 -0.31 1.14 16 48 H 0.07 0.73 8.14 -51.93 -0.42 0.31 16 49 H 0.08 0.68 8.14 -51.93 -0.42 0.26 16 50 H 0.06 0.63 8.14 -51.93 -0.42 0.20 16 51 H 0.09 1.87 5.88 -51.93 -0.31 1.57 16 52 H 0.06 0.87 8.14 -51.93 -0.42 0.44 16 53 H 0.06 1.03 8.14 -51.93 -0.42 0.61 16 LS Contribution 415.96 15.07 6.27 6.27 Total: -1.00 -34.92 415.96 -8.33 -43.26 By element: Atomic # 1 Polarization: 17.79 SS G_CDS: -9.46 Total: 8.33 kcal Atomic # 6 Polarization: 2.74 SS G_CDS: 0.31 Total: 3.05 kcal Atomic # 7 Polarization: -47.37 SS G_CDS: 0.09 Total: -47.29 kcal Atomic # 8 Polarization: -34.23 SS G_CDS: -0.44 Total: -34.67 kcal Atomic # 14 Polarization: 26.15 SS G_CDS: -5.10 Total: 21.05 kcal Total LS contribution 6.27 Total: 6.27 kcal Total: -34.92 -8.33 -43.26 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. ZINC001323870864.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 -41.055 kcal (2) G-P(sol) polarization free energy of solvation -34.921 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -75.976 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.335 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.256 kcal (6) G-S(sol) free energy of system = (1) + (5) -84.311 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.14 seconds