Wall clock time and date at job start Tue Mar 31 2020 20:31:31 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 1.50699 * 1 3 3 O 1.20762 * 119.99940 * 2 1 4 4 C 1.50701 * 119.99655 * 179.97438 * 2 1 3 5 5 H 1.09001 * 109.47142 * 319.99456 * 4 2 1 6 6 C 1.52997 * 109.47039 * 80.00207 * 4 2 1 7 7 N 1.46501 * 109.46692 * 200.00092 * 4 2 1 8 8 C 1.34776 * 119.99949 * 154.99981 * 7 4 2 9 9 O 1.21280 * 120.00121 * 359.97438 * 8 7 4 10 10 C 1.50703 * 119.99853 * 179.97438 * 8 7 4 11 11 H 1.08995 * 115.55955 * 300.78371 * 10 8 7 12 12 C 1.53048 * 117.50167 * 155.03223 * 10 8 7 13 13 C 1.52735 * 59.94919 * 252.53121 * 12 10 8 14 14 C 1.53214 * 117.85035 * 252.26385 * 13 12 10 15 15 C 1.53262 * 108.62936 * 162.99696 * 14 13 12 16 16 N 1.46803 * 109.44109 * 55.58876 * 15 14 13 17 17 C 1.46898 * 111.00047 * 170.79828 * 16 15 14 18 18 C 1.53006 * 109.47072 * 294.69918 * 17 16 15 19 19 C 1.52993 * 109.47122 * 179.97438 * 18 17 16 20 20 C 1.50707 * 109.47032 * 180.02562 * 19 18 17 21 21 H 1.07997 * 120.00030 * 359.97438 * 20 19 18 22 22 C 1.37875 * 120.00067 * 180.02562 * 20 19 18 23 23 N 1.31522 * 119.99946 * 0.02562 * 22 20 19 24 24 Si 1.86795 * 120.00004 * 179.97438 * 22 20 19 25 25 H 1.48497 * 109.47036 * 60.00241 * 24 22 20 26 26 H 1.48510 * 109.47064 * 179.97438 * 24 22 20 27 27 H 1.48492 * 109.47569 * 299.99990 * 24 22 20 28 28 C 1.46811 * 111.58063 * 295.17085 * 16 15 14 29 29 C 1.53219 * 117.84496 * 107.73965 * 13 12 10 30 30 H 1.08999 * 109.47285 * 179.97438 * 1 2 3 31 31 H 1.09005 * 109.47610 * 300.00036 * 1 2 3 32 32 H 1.09000 * 109.47033 * 59.99906 * 1 2 3 33 33 H 1.09000 * 109.47344 * 299.99346 * 6 4 2 34 34 H 1.09001 * 109.47050 * 59.99841 * 6 4 2 35 35 H 1.09008 * 109.46538 * 179.97438 * 6 4 2 36 36 H 0.96997 * 120.00355 * 334.99813 * 7 4 2 37 37 H 1.09001 * 117.50185 * 145.06149 * 12 10 8 38 38 H 1.09001 * 117.50768 * 0.02562 * 12 10 8 39 39 H 1.09002 * 109.60835 * 282.73990 * 14 13 12 40 40 H 1.09005 * 109.61062 * 43.24935 * 14 13 12 41 41 H 1.08997 * 109.47212 * 175.57807 * 15 14 13 42 42 H 1.08999 * 109.47349 * 295.59610 * 15 14 13 43 43 H 1.08993 * 109.47378 * 54.69904 * 17 16 15 44 44 H 1.08997 * 109.47310 * 174.70277 * 17 16 15 45 45 H 1.08993 * 109.47007 * 300.00213 * 18 17 16 46 46 H 1.08997 * 109.46759 * 60.00022 * 18 17 16 47 47 H 1.08993 * 109.47534 * 300.00112 * 19 18 17 48 48 H 1.09002 * 109.47514 * 60.00230 * 19 18 17 49 49 H 0.97001 * 120.00061 * 180.02562 * 23 22 20 50 50 H 1.08999 * 109.47469 * 304.84157 * 28 16 15 51 51 H 1.08999 * 109.48310 * 184.82212 * 28 16 15 52 52 H 1.08996 * 109.61113 * 316.74353 * 29 13 12 53 53 H 1.09001 * 109.60796 * 77.09415 * 29 13 12 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 1.5070 0.0000 0.0000 3 8 2.1108 1.0458 0.0000 4 6 2.2604 -1.3052 0.0006 5 1 1.7603 -2.0131 0.6615 6 6 2.2985 -1.8727 -1.4197 7 7 3.6286 -1.0789 0.4729 8 6 4.3235 -2.0884 1.0336 9 8 3.8161 -3.1840 1.1476 10 6 5.7312 -1.8557 1.5190 11 1 6.4401 -1.5201 0.7622 12 6 6.2583 -2.7735 2.6246 13 6 5.9085 -1.3203 2.9388 14 6 7.0625 -0.3458 3.1958 15 6 6.5327 1.0862 3.0638 16 7 5.3958 1.2724 3.9738 17 6 4.9991 2.6853 4.0384 18 6 6.1280 3.5037 4.6683 19 6 5.7150 4.9754 4.7350 20 6 6.8272 5.7816 5.3549 21 1 7.7373 5.2931 5.6702 22 6 6.6824 7.1427 5.5206 23 7 5.5735 7.7374 5.1380 24 14 8.0607 8.1418 6.2896 25 1 9.2880 8.0095 5.4642 26 1 7.6599 9.5704 6.3542 27 1 8.3300 7.6403 7.6610 28 6 4.2586 0.4233 3.5979 29 6 4.6457 -1.0504 3.7634 30 1 -0.3634 -1.0276 -0.0005 31 1 -0.3634 0.5138 0.8900 32 1 -0.3633 0.5139 -0.8900 33 1 1.2805 -2.0410 -1.7712 34 1 2.7986 -1.1647 -2.0806 35 1 2.8439 -2.8165 -1.4193 36 1 4.0344 -0.2025 0.3821 37 1 7.3143 -3.0419 2.5951 38 1 5.5871 -3.5457 3.0005 39 1 7.4543 -0.4998 4.2013 40 1 7.8523 -0.5127 2.4633 41 1 7.3232 1.7913 3.3209 42 1 6.2093 1.2609 2.0377 43 1 4.8014 3.0536 3.0318 44 1 4.0982 2.7824 4.6442 45 1 6.3257 3.1355 5.6749 46 1 7.0288 3.4066 4.0625 47 1 5.5176 5.3434 3.7283 48 1 4.8140 5.0729 5.3406 49 1 5.4717 8.6950 5.2542 50 1 3.9905 0.6141 2.5588 51 1 3.4078 0.6500 4.2403 52 1 3.8337 -1.6841 3.4071 53 1 4.8424 -1.2638 4.8141 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001274043736.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 20:31:31 Heat of formation + Delta-G solvation = -65.593184 kcal Electronic energy + Delta-G solvation = -30104.140874 eV Core-core repulsion = 26168.790333 eV Total energy + Delta-G solvation = -3935.350541 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.88 seconds Orbital eigenvalues (eV) -40.99454 -39.94088 -38.64888 -36.57511 -35.29551 -33.73203 -32.04154 -31.78218 -30.98493 -29.77773 -29.33151 -26.13736 -25.49353 -23.77907 -23.32951 -22.86787 -21.36639 -20.62845 -20.11073 -19.79149 -18.80851 -17.49800 -16.97187 -16.40718 -16.00769 -15.76635 -15.52566 -15.11849 -15.03300 -14.74880 -14.44519 -14.37947 -14.15322 -13.97836 -13.64276 -13.48031 -13.04839 -12.97259 -12.83707 -12.74181 -12.47380 -12.37563 -12.27843 -12.15653 -12.05575 -11.60827 -11.51955 -11.27246 -11.16982 -10.80109 -10.75471 -10.53256 -10.45446 -10.30947 -10.14125 -10.08213 -9.78283 -9.53214 -9.44490 -9.28062 -9.01793 -8.30477 -7.99552 -5.96012 -3.98050 1.43145 2.27843 2.66208 3.35810 3.39831 3.42567 3.48395 3.51888 4.14500 4.29544 4.46391 4.49910 4.50332 4.58008 4.60974 4.65672 4.73048 4.85488 4.92500 4.98056 5.13048 5.20191 5.23941 5.31000 5.39592 5.41298 5.46197 5.47968 5.54981 5.57831 5.65745 5.72605 5.76634 5.80736 5.88454 5.91638 6.02710 6.04847 6.07270 6.18845 6.26069 6.37057 6.75767 6.82162 6.97114 7.15262 7.17242 7.43151 7.45313 7.72657 7.88292 7.91210 8.04780 8.47937 9.09097 9.65635 11.15437 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.013045 B = 0.002572 C = 0.002242 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2145.876179 B =10883.462983 C =12487.299962 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.201 4.201 2 C 0.350 3.650 3 O -0.444 6.444 4 C 0.093 3.907 5 H 0.115 0.885 6 C -0.156 4.156 7 N -0.718 5.718 8 C 0.555 3.445 9 O -0.541 6.541 10 C -0.192 4.192 11 H 0.127 0.873 12 C -0.138 4.138 13 C -0.090 4.090 14 C -0.079 4.079 15 C 0.055 3.945 16 N -0.537 5.537 17 C 0.057 3.943 18 C -0.104 4.104 19 C 0.022 3.978 20 C -0.518 4.518 21 H 0.054 0.946 22 C 0.056 3.944 23 N -0.897 5.897 24 Si 0.892 3.108 25 H -0.277 1.277 26 H -0.288 1.288 27 H -0.277 1.277 28 C 0.060 3.940 29 C -0.081 4.081 30 H 0.084 0.916 31 H 0.098 0.902 32 H 0.096 0.904 33 H 0.074 0.926 34 H 0.062 0.938 35 H 0.075 0.925 36 H 0.409 0.591 37 H 0.103 0.897 38 H 0.104 0.896 39 H 0.082 0.918 40 H 0.068 0.932 41 H 0.086 0.914 42 H 0.028 0.972 43 H 0.028 0.972 44 H 0.068 0.932 45 H 0.055 0.945 46 H 0.047 0.953 47 H 0.013 0.987 48 H 0.015 0.985 49 H 0.260 0.740 50 H 0.030 0.970 51 H 0.072 0.928 52 H 0.062 0.938 53 H 0.081 0.919 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -7.291 -23.451 -12.270 27.453 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 -0.258 4.258 2 C 0.224 3.776 3 O -0.316 6.316 4 C -0.013 4.013 5 H 0.133 0.867 6 C -0.214 4.214 7 N -0.372 5.372 8 C 0.342 3.658 9 O -0.418 6.418 10 C -0.213 4.213 11 H 0.145 0.855 12 C -0.175 4.175 13 C -0.090 4.090 14 C -0.116 4.116 15 C -0.073 4.073 16 N -0.262 5.262 17 C -0.070 4.070 18 C -0.142 4.142 19 C -0.016 4.016 20 C -0.556 4.556 21 H 0.073 0.927 22 C -0.145 4.145 23 N -0.536 5.536 24 Si 0.720 3.280 25 H -0.203 1.203 26 H -0.213 1.213 27 H -0.202 1.202 28 C -0.069 4.069 29 C -0.119 4.119 30 H 0.103 0.897 31 H 0.117 0.883 32 H 0.115 0.885 33 H 0.093 0.907 34 H 0.081 0.919 35 H 0.094 0.906 36 H 0.246 0.754 37 H 0.122 0.878 38 H 0.122 0.878 39 H 0.100 0.900 40 H 0.086 0.914 41 H 0.105 0.895 42 H 0.047 0.953 43 H 0.046 0.954 44 H 0.086 0.914 45 H 0.074 0.926 46 H 0.065 0.935 47 H 0.031 0.969 48 H 0.033 0.967 49 H 0.070 0.930 50 H 0.048 0.952 51 H 0.090 0.910 52 H 0.081 0.919 53 H 0.100 0.900 Dipole moment (debyes) X Y Z Total from point charges -7.285 -23.631 -11.742 27.375 hybrid contribution 0.519 1.277 -0.640 1.520 sum -6.766 -22.354 -12.383 26.435 Atomic orbital electron populations 1.22236 0.93086 1.05027 1.05442 1.24865 0.92654 0.89618 0.70435 1.90477 1.71724 1.34654 1.34726 1.21444 0.84262 0.97214 0.98399 0.86685 1.22045 1.03292 1.02238 0.93860 1.45904 1.14286 1.14733 1.62266 1.19679 0.86605 0.83652 0.75837 1.90683 1.70573 1.24184 1.56311 1.22395 0.95091 1.09402 0.94389 0.85541 1.23028 1.02037 0.93427 0.98991 1.21643 0.98581 0.95634 0.93163 1.21287 0.94622 0.93030 1.02677 1.22128 0.94743 0.96482 0.93994 1.61800 1.06435 1.07559 1.50372 1.22265 0.99851 0.85544 0.99293 1.21656 0.95810 0.97182 0.99533 1.19064 0.96724 0.88824 0.96943 1.21219 1.01922 0.92527 1.39970 0.92748 1.25030 0.95686 0.98023 0.95782 1.69963 1.25715 1.10164 1.47800 0.86665 0.82447 0.79032 0.79891 1.20290 1.21341 1.20227 1.22029 0.93685 0.92425 0.98739 1.21268 0.94242 0.96007 1.00392 0.89698 0.88312 0.88524 0.90746 0.91865 0.90642 0.75367 0.87828 0.87765 0.89970 0.91374 0.89533 0.95337 0.95389 0.91364 0.92615 0.93470 0.96873 0.96675 0.93012 0.95202 0.90994 0.91946 0.90034 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 -0.20 -0.99 10.33 36.00 0.37 -0.62 16 2 C 0.35 2.88 6.51 -29.04 -0.19 2.69 16 3 O -0.44 -5.42 16.67 6.00 0.10 -5.32 16 4 C 0.09 0.73 2.82 -69.08 -0.20 0.54 16 5 H 0.12 0.89 7.58 -51.93 -0.39 0.50 16 6 C -0.16 -1.00 9.47 37.16 0.35 -0.65 16 7 N -0.72 -6.89 4.89 -54.93 -0.27 -7.16 16 8 C 0.56 6.06 5.82 -10.98 -0.06 5.99 16 9 O -0.54 -7.28 16.22 5.56 0.09 -7.19 16 10 C -0.19 -1.86 5.88 -91.86 -0.54 -2.40 16 11 H 0.13 1.06 8.14 -51.93 -0.42 0.64 16 12 C -0.14 -1.27 9.51 -26.84 -0.26 -1.53 16 13 C -0.09 -0.91 2.02 -154.54 -0.31 -1.23 16 14 C -0.08 -0.83 5.87 -26.49 -0.16 -0.99 16 15 C 0.05 0.73 5.35 -3.74 -0.02 0.71 16 16 N -0.54 -8.03 4.59 -234.45 -1.08 -9.10 16 17 C 0.06 1.03 4.96 -3.82 -0.02 1.01 16 18 C -0.10 -2.18 5.08 -26.73 -0.14 -2.32 16 19 C 0.02 0.58 4.97 -27.88 -0.14 0.44 16 20 C -0.52 -14.92 9.11 -34.44 -0.31 -15.24 16 21 H 0.05 1.52 7.74 -52.49 -0.41 1.11 16 22 C 0.06 1.62 5.46 -17.82 -0.10 1.53 16 23 N -0.90 -27.41 13.29 55.43 0.74 -26.67 16 24 Si 0.89 21.96 29.54 -169.99 -5.02 16.94 16 25 H -0.28 -6.69 7.11 56.52 0.40 -6.29 16 26 H -0.29 -7.00 7.11 56.52 0.40 -6.60 16 27 H -0.28 -6.69 7.11 56.52 0.40 -6.28 16 28 C 0.06 0.77 5.49 -3.73 -0.02 0.75 16 29 C -0.08 -0.92 5.52 -26.48 -0.15 -1.07 16 30 H 0.08 0.23 8.00 -51.93 -0.42 -0.18 16 31 H 0.10 0.51 8.14 -51.93 -0.42 0.08 16 32 H 0.10 0.41 8.14 -51.93 -0.42 -0.01 16 33 H 0.07 0.31 8.14 -51.93 -0.42 -0.11 16 34 H 0.06 0.42 8.14 -51.93 -0.42 0.00 16 35 H 0.07 0.58 8.14 -51.92 -0.42 0.15 16 36 H 0.41 4.11 7.47 -40.82 -0.30 3.81 16 37 H 0.10 0.79 8.14 -51.93 -0.42 0.37 16 38 H 0.10 1.05 7.89 -51.93 -0.41 0.64 16 39 H 0.08 0.91 8.14 -51.93 -0.42 0.49 16 40 H 0.07 0.61 8.08 -51.93 -0.42 0.19 16 41 H 0.09 1.26 6.07 -51.93 -0.32 0.94 16 42 H 0.03 0.38 8.12 -51.93 -0.42 -0.04 16 43 H 0.03 0.52 8.13 -51.93 -0.42 0.09 16 44 H 0.07 1.23 7.94 -51.93 -0.41 0.82 16 45 H 0.06 1.19 8.14 -51.93 -0.42 0.77 16 46 H 0.05 0.97 6.35 -51.93 -0.33 0.64 16 47 H 0.01 0.36 8.14 -51.93 -0.42 -0.06 16 48 H 0.01 0.42 8.14 -51.93 -0.42 -0.01 16 49 H 0.26 7.51 8.31 -40.82 -0.34 7.17 16 50 H 0.03 0.40 7.69 -51.93 -0.40 0.00 16 51 H 0.07 0.94 7.95 -51.93 -0.41 0.53 16 52 H 0.06 0.71 6.85 -51.93 -0.36 0.36 16 53 H 0.08 0.94 8.14 -51.93 -0.42 0.52 16 LS Contribution 422.55 15.07 6.37 6.37 Total: -1.00 -33.70 422.55 -10.57 -44.28 By element: Atomic # 1 Polarization: 9.86 SS G_CDS: -9.63 Total: 0.23 kcal Atomic # 6 Polarization: -10.51 SS G_CDS: -1.88 Total: -12.38 kcal Atomic # 7 Polarization: -42.33 SS G_CDS: -0.61 Total: -42.93 kcal Atomic # 8 Polarization: -12.69 SS G_CDS: 0.19 Total: -12.50 kcal Atomic # 14 Polarization: 21.96 SS G_CDS: -5.02 Total: 16.94 kcal Total LS contribution 6.37 Total: 6.37 kcal Total: -33.70 -10.57 -44.28 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. ZINC001274043736.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 -21.315 kcal (2) G-P(sol) polarization free energy of solvation -33.704 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -55.019 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.575 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.278 kcal (6) G-S(sol) free energy of system = (1) + (5) -65.593 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.88 seconds