Wall clock time and date at job start Sat Apr 11 2020 06:12:51 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 1.52999 * 1 3 3 N 1.46494 * 109.47537 * 2 1 4 4 C 1.34781 * 120.00246 * 273.75350 * 3 2 1 5 5 O 1.21278 * 120.00112 * 184.97244 * 4 3 2 6 6 C 1.50699 * 119.99516 * 4.97575 * 4 3 2 7 7 C 1.53006 * 109.47059 * 180.02562 * 6 4 3 8 8 O 1.42893 * 109.47091 * 179.97438 * 7 6 4 9 9 C 1.42904 * 113.99800 * 179.97438 * 8 7 6 10 10 C 1.53184 * 109.54211 * 269.55190 * 9 8 7 11 11 C 1.53092 * 109.15982 * 183.15214 * 10 9 8 12 12 O 1.42900 * 109.41638 * 57.61242 * 11 10 9 13 13 C 1.42904 * 114.09642 * 298.83968 * 12 11 10 14 14 C 1.53093 * 109.41481 * 61.16046 * 13 12 11 15 15 C 1.46507 * 120.00083 * 93.74638 * 3 2 1 16 16 H 1.08995 * 110.91324 * 181.32747 * 15 3 2 17 17 C 1.55151 * 111.00751 * 305.23680 * 15 3 2 18 18 C 1.54323 * 102.94428 * 82.56876 * 17 15 3 19 19 N 1.47026 * 107.26983 * 22.19122 * 18 17 15 20 20 C 1.36936 * 125.64778 * 180.79023 * 19 18 17 21 21 H 1.08001 * 120.00167 * 180.02562 * 20 19 18 22 22 C 1.38813 * 119.99794 * 0.02945 * 20 19 18 23 23 N 1.31620 * 120.00388 * 359.97438 * 22 20 19 24 24 Si 1.86805 * 119.99599 * 179.97438 * 22 20 19 25 25 H 1.48494 * 109.47359 * 0.02562 * 24 22 20 26 26 H 1.48504 * 109.46956 * 120.00204 * 24 22 20 27 27 H 1.48503 * 109.46951 * 240.00115 * 24 22 20 28 28 C 1.47427 * 108.70307 * 1.06135 * 19 18 17 29 29 H 1.08998 * 109.46877 * 57.88742 * 1 2 3 30 30 H 1.08996 * 109.47436 * 177.89036 * 1 2 3 31 31 H 1.09005 * 109.46909 * 297.88767 * 1 2 3 32 32 H 1.08998 * 109.47265 * 239.99895 * 2 1 3 33 33 H 1.09004 * 109.47205 * 119.99815 * 2 1 3 34 34 H 1.09004 * 109.46875 * 299.99801 * 6 4 3 35 35 H 1.08991 * 109.47537 * 59.99982 * 6 4 3 36 36 H 1.09004 * 109.46261 * 299.99842 * 7 6 4 37 37 H 1.08999 * 109.46920 * 59.99784 * 7 6 4 38 38 H 1.08994 * 109.54589 * 29.81991 * 9 8 7 39 39 H 1.08999 * 109.52296 * 303.05951 * 10 9 8 40 40 H 1.08996 * 109.51691 * 63.24872 * 10 9 8 41 41 H 1.08996 * 109.47932 * 297.62594 * 11 10 9 42 42 H 1.09007 * 109.47545 * 177.59369 * 11 10 9 43 43 H 1.08995 * 109.47865 * 301.17507 * 13 12 11 44 44 H 1.08998 * 109.48180 * 181.13973 * 13 12 11 45 45 H 1.08999 * 109.51900 * 182.49007 * 14 13 12 46 46 H 1.08995 * 109.52571 * 62.29959 * 14 13 12 47 47 H 1.09002 * 110.71625 * 324.20681 * 17 15 3 48 48 H 1.09000 * 110.71968 * 200.93310 * 17 15 3 49 49 H 1.09001 * 109.88117 * 262.78076 * 18 17 15 50 50 H 1.08998 * 110.00996 * 141.68287 * 18 17 15 51 51 H 0.96996 * 119.99800 * 179.97438 * 23 22 20 52 52 H 1.08999 * 110.36625 * 94.70673 * 28 19 18 53 53 H 1.08997 * 110.36555 * 217.02997 * 28 19 18 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 7 2.0184 1.3811 0.0000 4 6 2.1711 2.0420 -1.1647 5 8 2.6598 3.1519 -1.1726 6 6 1.7344 1.4017 -2.4571 7 6 2.0171 2.3552 -3.6198 8 8 1.6036 1.7478 -4.8453 9 6 1.8243 2.5602 -6.0001 10 6 0.5860 3.4222 -6.2645 11 6 0.8007 4.2302 -7.5470 12 8 1.0621 3.3381 -8.6323 13 6 2.2351 2.5399 -8.4619 14 6 2.0780 1.6640 -7.2162 15 6 2.3408 2.0441 1.2661 16 1 2.6668 3.0702 1.0960 17 6 1.1347 1.9980 2.2410 18 6 1.2574 0.5971 2.8766 19 7 2.6564 0.1707 2.7265 20 6 3.1759 -1.0246 3.1468 21 1 4.2216 -1.2441 2.9896 22 6 2.3583 -1.9541 3.7749 23 7 1.0840 -1.6865 3.9669 24 14 3.0669 -3.5850 4.3475 25 1 4.5133 -3.6399 4.0162 26 1 2.8908 -3.7126 5.8165 27 1 2.3597 -4.6986 3.6656 28 6 3.4088 1.2458 2.0545 29 1 -0.3633 0.5463 -0.8704 30 1 -0.3634 -1.0269 -0.0378 31 1 -0.3633 0.4807 0.9084 32 1 1.8933 -0.5138 -0.8899 33 1 1.8934 -0.5138 0.8900 34 1 2.2854 0.4732 -2.6069 35 1 0.6666 1.1875 -2.4139 36 1 1.4663 3.2839 -3.4700 37 1 3.0851 2.5690 -3.6628 38 1 2.6889 3.2028 -5.8340 39 1 -0.2870 2.7799 -6.3804 40 1 0.4303 4.1025 -5.4272 41 1 1.6492 4.9016 -7.4158 42 1 -0.0945 4.8134 -7.7633 43 1 3.1024 3.1892 -8.3427 44 1 2.3733 1.9054 -9.3373 45 1 2.9893 1.0869 -7.0595 46 1 1.2353 0.9861 -7.3513 47 1 0.1951 2.0936 1.6967 48 1 1.2227 2.7751 3.0003 49 1 0.5993 -0.1026 2.3613 50 1 0.9951 0.6429 3.9336 51 1 0.5128 -2.3363 4.4054 52 1 3.8943 1.8864 2.7908 53 1 4.1467 0.8233 1.3726 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 ZINC001732186775.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 06:12:51 Heat of formation + Delta-G solvation = -99.925623 kcal Electronic energy + Delta-G solvation = -31091.854959 eV Core-core repulsion = 26964.559600 eV Total energy + Delta-G solvation = -4127.295359 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.08 seconds Orbital eigenvalues (eV) -40.16290 -39.82647 -37.95835 -37.34972 -34.64093 -33.26472 -32.42059 -31.51984 -30.88638 -30.28517 -29.25957 -27.04175 -25.08231 -24.51969 -24.07445 -23.59315 -22.61082 -20.84745 -20.36130 -20.11964 -18.44849 -17.59935 -17.01558 -16.87374 -16.49247 -16.21213 -15.92756 -15.54724 -15.20702 -14.87723 -14.73227 -14.43875 -13.97528 -13.92400 -13.84289 -13.51260 -13.23110 -12.91474 -12.80131 -12.61097 -12.12448 -12.05859 -11.95120 -11.89656 -11.78052 -11.70325 -11.33056 -11.21252 -11.05459 -11.00102 -10.91374 -10.75426 -10.72407 -10.45701 -10.20035 -10.14830 -10.06769 -9.93540 -9.70649 -9.68376 -9.37969 -8.71210 -8.23736 -6.86872 -5.79601 -3.13661 2.84476 3.01319 3.34515 3.41532 3.43025 3.46758 3.66978 4.36860 4.42198 4.43216 4.57522 4.71040 4.74778 4.81372 4.93905 4.96521 5.03349 5.17274 5.26662 5.28564 5.32809 5.35840 5.41022 5.44820 5.47726 5.54752 5.62555 5.67388 5.68982 5.71687 5.78961 5.81433 5.86781 5.89172 5.96310 6.18006 6.22184 6.31355 6.46420 6.51397 6.59554 6.70870 6.77556 6.79503 7.01187 7.11569 7.50474 7.54898 7.76307 7.83749 8.16953 8.43700 9.14008 9.73250 10.38647 11.31292 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.021407 B = 0.002164 C = 0.002083 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1307.671745 B =12935.764373 C =13439.817990 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.168 4.168 2 C 0.081 3.919 3 N -0.581 5.581 4 C 0.516 3.484 5 O -0.560 6.560 6 C -0.139 4.139 7 C 0.079 3.921 8 O -0.381 6.381 9 C 0.091 3.909 10 C -0.180 4.180 11 C 0.063 3.937 12 O -0.383 6.383 13 C 0.064 3.936 14 C -0.154 4.154 15 C 0.123 3.877 16 H 0.098 0.902 17 C -0.158 4.158 18 C 0.167 3.833 19 N -0.603 5.603 20 C -0.231 4.231 21 H 0.078 0.922 22 C -0.005 4.005 23 N -0.919 5.919 24 Si 0.910 3.090 25 H -0.280 1.280 26 H -0.291 1.291 27 H -0.290 1.290 28 C 0.125 3.875 29 H 0.041 0.959 30 H 0.063 0.937 31 H 0.070 0.930 32 H 0.061 0.939 33 H 0.137 0.863 34 H 0.100 0.900 35 H 0.101 0.899 36 H 0.056 0.944 37 H 0.056 0.944 38 H 0.062 0.938 39 H 0.081 0.919 40 H 0.076 0.924 41 H 0.051 0.949 42 H 0.097 0.903 43 H 0.052 0.948 44 H 0.099 0.901 45 H 0.081 0.919 46 H 0.082 0.918 47 H 0.065 0.935 48 H 0.067 0.933 49 H 0.061 0.939 50 H 0.041 0.959 51 H 0.252 0.748 52 H 0.030 0.970 53 H 0.044 0.956 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.117 8.716 -20.099 21.936 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 -0.226 4.226 2 C -0.042 4.042 3 N -0.312 5.312 4 C 0.304 3.696 5 O -0.440 6.440 6 C -0.178 4.178 7 C 0.003 3.997 8 O -0.301 6.301 9 C 0.033 3.967 10 C -0.218 4.218 11 C -0.013 4.013 12 O -0.302 6.302 13 C -0.013 4.013 14 C -0.192 4.192 15 C 0.019 3.981 16 H 0.116 0.884 17 C -0.197 4.197 18 C 0.043 3.957 19 N -0.330 5.330 20 C -0.359 4.359 21 H 0.096 0.904 22 C -0.202 4.202 23 N -0.566 5.566 24 Si 0.741 3.259 25 H -0.206 1.206 26 H -0.218 1.218 27 H -0.217 1.217 28 C -0.002 4.002 29 H 0.060 0.940 30 H 0.082 0.918 31 H 0.089 0.911 32 H 0.080 0.920 33 H 0.155 0.845 34 H 0.118 0.882 35 H 0.120 0.880 36 H 0.074 0.926 37 H 0.075 0.925 38 H 0.080 0.920 39 H 0.100 0.900 40 H 0.095 0.905 41 H 0.070 0.930 42 H 0.115 0.885 43 H 0.070 0.930 44 H 0.118 0.882 45 H 0.099 0.901 46 H 0.100 0.900 47 H 0.084 0.916 48 H 0.085 0.915 49 H 0.079 0.921 50 H 0.060 0.940 51 H 0.063 0.937 52 H 0.048 0.952 53 H 0.062 0.938 Dipole moment (debyes) X Y Z Total from point charges -1.129 8.883 -20.133 22.035 hybrid contribution 0.487 -0.749 0.848 1.232 sum -0.642 8.134 -19.285 20.940 Atomic orbital electron populations 1.22328 0.96339 1.02143 1.01817 1.22140 0.94312 0.81756 1.05966 1.47824 1.63597 1.14502 1.05246 1.20313 0.78385 0.85596 0.85279 1.90646 1.45632 1.20486 1.87261 1.21540 1.04447 1.00381 0.91460 1.22188 0.99350 0.95360 0.82848 1.87869 1.84645 1.43331 1.14218 1.22047 0.96492 0.92173 0.85999 1.22745 1.00104 1.00160 0.98769 1.22566 1.01428 0.91378 0.85965 1.87941 1.45281 1.54426 1.42529 1.22586 0.87692 0.93214 0.97821 1.22305 1.03985 0.99186 0.93689 1.22234 0.96593 0.96689 0.82582 0.88359 1.23306 0.97269 1.01121 0.98030 1.21397 0.86392 0.89104 0.98834 1.44620 1.05294 1.14591 1.68462 1.19085 0.94190 0.90655 1.31936 0.90404 1.24783 0.95854 0.98686 1.00873 1.69966 1.03969 1.34988 1.47700 0.86076 0.78059 0.83596 0.78212 1.20556 1.21800 1.21716 1.21910 0.93505 0.90894 0.93925 0.93956 0.91756 0.91102 0.92033 0.84523 0.88216 0.88047 0.92597 0.92530 0.91987 0.89994 0.90491 0.93038 0.88469 0.92995 0.88249 0.90070 0.89980 0.91627 0.91474 0.92133 0.94040 0.93735 0.95236 0.93812 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 -0.17 -2.56 9.25 37.16 0.34 -2.22 16 2 C 0.08 1.35 4.90 -4.05 -0.02 1.33 16 3 N -0.58 -9.79 2.53 -163.68 -0.41 -10.20 16 4 C 0.52 8.32 7.64 -10.98 -0.08 8.23 16 5 O -0.56 -10.43 15.38 5.56 0.09 -10.34 16 6 C -0.14 -1.77 4.74 -27.88 -0.13 -1.91 16 7 C 0.08 0.96 5.04 37.16 0.19 1.15 16 8 O -0.38 -4.46 10.00 -35.23 -0.35 -4.81 16 9 C 0.09 0.85 2.70 -26.54 -0.07 0.78 16 10 C -0.18 -1.53 5.76 -26.59 -0.15 -1.69 16 11 C 0.06 0.48 6.84 37.20 0.25 0.73 16 12 O -0.38 -3.50 10.77 -35.23 -0.38 -3.88 16 13 C 0.06 0.45 6.84 37.21 0.25 0.71 16 14 C -0.15 -1.25 5.79 -26.59 -0.15 -1.40 16 15 C 0.12 2.23 3.66 -65.78 -0.24 1.99 16 16 H 0.10 1.77 7.03 -51.93 -0.36 1.40 16 17 C -0.16 -2.88 5.98 -24.90 -0.15 -3.03 16 18 C 0.17 3.73 4.15 -3.06 -0.01 3.72 16 19 N -0.60 -14.21 1.92 -170.07 -0.33 -14.54 16 20 C -0.23 -6.01 9.96 -15.06 -0.15 -6.16 16 21 H 0.08 2.00 7.83 -52.49 -0.41 1.59 16 22 C -0.01 -0.14 5.49 -17.43 -0.10 -0.24 16 23 N -0.92 -25.23 10.31 55.49 0.57 -24.66 16 24 Si 0.91 21.18 29.55 -169.99 -5.02 16.15 16 25 H -0.28 -6.39 7.11 56.52 0.40 -5.99 16 26 H -0.29 -6.91 7.11 56.52 0.40 -6.51 16 27 H -0.29 -6.79 7.11 56.52 0.40 -6.39 16 28 C 0.12 2.52 6.58 -2.53 -0.02 2.51 16 29 H 0.04 0.56 6.51 -51.93 -0.34 0.22 16 30 H 0.06 0.95 8.14 -51.93 -0.42 0.53 16 31 H 0.07 1.18 4.58 -51.93 -0.24 0.94 16 32 H 0.06 0.91 6.64 -51.93 -0.34 0.56 16 33 H 0.14 2.85 4.38 -51.93 -0.23 2.62 16 34 H 0.10 1.20 7.27 -51.93 -0.38 0.83 16 35 H 0.10 1.22 6.52 -51.93 -0.34 0.88 16 36 H 0.06 0.69 7.95 -51.93 -0.41 0.28 16 37 H 0.06 0.71 8.04 -51.93 -0.42 0.29 16 38 H 0.06 0.55 7.79 -51.93 -0.40 0.15 16 39 H 0.08 0.76 8.14 -51.93 -0.42 0.34 16 40 H 0.08 0.64 7.99 -51.93 -0.42 0.22 16 41 H 0.05 0.34 8.14 -51.93 -0.42 -0.08 16 42 H 0.10 0.60 8.14 -51.93 -0.42 0.18 16 43 H 0.05 0.32 8.14 -51.93 -0.42 -0.10 16 44 H 0.10 0.56 8.14 -51.93 -0.42 0.13 16 45 H 0.08 0.60 8.14 -51.93 -0.42 0.18 16 46 H 0.08 0.73 8.14 -51.93 -0.42 0.30 16 47 H 0.07 1.12 6.60 -51.93 -0.34 0.78 16 48 H 0.07 1.15 8.14 -51.93 -0.42 0.73 16 49 H 0.06 1.42 4.42 -51.93 -0.23 1.19 16 50 H 0.04 1.06 7.48 -51.93 -0.39 0.67 16 51 H 0.25 6.79 8.31 -40.82 -0.34 6.46 16 52 H 0.03 0.60 8.14 -51.93 -0.42 0.18 16 53 H 0.04 0.90 8.14 -51.93 -0.42 0.47 16 LS Contribution 396.00 15.07 5.97 5.97 Total: -1.00 -29.61 396.00 -9.15 -38.76 By element: Atomic # 1 Polarization: 12.07 SS G_CDS: -9.04 Total: 3.04 kcal Atomic # 6 Polarization: 4.75 SS G_CDS: -0.24 Total: 4.51 kcal Atomic # 7 Polarization: -49.23 SS G_CDS: -0.17 Total: -49.40 kcal Atomic # 8 Polarization: -18.39 SS G_CDS: -0.65 Total: -19.03 kcal Atomic # 14 Polarization: 21.18 SS G_CDS: -5.02 Total: 16.15 kcal Total LS contribution 5.97 Total: 5.97 kcal Total: -29.61 -9.15 -38.76 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. ZINC001732186775.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 -61.165 kcal (2) G-P(sol) polarization free energy of solvation -29.615 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -90.779 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.147 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.761 kcal (6) G-S(sol) free energy of system = (1) + (5) -99.926 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.08 seconds