Wall clock time and date at job start Sat Apr 11 2020 06:10:27 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 C 1.53004 * 109.47088 * 2 1 4 4 C 1.52999 * 109.47181 * 174.11877 * 3 2 1 5 5 C 1.52995 * 109.47059 * 200.58454 * 4 3 2 6 6 C 1.52998 * 109.47128 * 294.11815 * 3 2 1 7 7 H 1.09003 * 109.47654 * 83.64019 * 6 3 2 8 8 C 1.50701 * 109.47197 * 203.63750 * 6 3 2 9 9 O 1.21287 * 119.99935 * 100.96103 * 8 6 3 10 10 N 1.34768 * 120.00208 * 280.96413 * 8 6 3 11 11 C 1.47586 * 134.49476 * 175.49867 * 10 8 6 12 12 C 1.53941 * 86.11729 * 155.36120 * 11 10 8 13 13 O 1.42900 * 113.73861 * 269.15422 * 12 11 10 14 14 C 1.50699 * 113.74106 * 137.95559 * 12 11 10 15 15 H 1.08005 * 119.99915 * 359.97438 * 14 12 11 16 16 C 1.37878 * 119.99945 * 179.97438 * 14 12 11 17 17 N 1.31513 * 120.00163 * 359.97438 * 16 14 12 18 18 Si 1.86798 * 119.99817 * 179.97438 * 16 14 12 19 19 H 1.48501 * 109.46994 * 179.97438 * 18 16 14 20 20 H 1.48500 * 109.47098 * 300.00048 * 18 16 14 21 21 H 1.48506 * 109.47445 * 59.99814 * 18 16 14 22 22 C 1.47582 * 134.49463 * 355.50411 * 10 8 6 23 23 N 1.46904 * 109.47559 * 323.64029 * 6 3 2 24 24 C 1.47011 * 110.99597 * 303.63395 * 23 6 3 25 25 C 1.53096 * 109.25819 * 177.60420 * 24 23 6 26 26 O 1.43023 * 109.25887 * 56.84541 * 25 24 23 27 27 C 1.43013 * 113.73419 * 301.33277 * 26 25 24 28 28 C 1.47010 * 111.00378 * 179.97438 * 23 6 3 29 29 H 1.08998 * 109.47856 * 65.10535 * 1 2 3 30 30 H 1.09002 * 109.46847 * 185.10909 * 1 2 3 31 31 H 1.09009 * 109.47005 * 305.10428 * 1 2 3 32 32 H 1.09002 * 109.46577 * 240.00815 * 2 1 3 33 33 H 1.08990 * 109.47288 * 120.00308 * 2 1 3 34 34 H 1.09003 * 109.46886 * 54.11610 * 3 2 1 35 35 H 1.09000 * 109.46726 * 320.58141 * 4 3 2 36 36 H 1.08996 * 109.47272 * 80.58340 * 4 3 2 37 37 H 1.08996 * 109.47443 * 284.70992 * 5 4 3 38 38 H 1.09006 * 109.46952 * 44.70935 * 5 4 3 39 39 H 1.09006 * 109.47192 * 164.70375 * 5 4 3 40 40 H 1.09008 * 113.76563 * 41.05743 * 11 10 8 41 41 H 1.08999 * 113.87200 * 269.67629 * 11 10 8 42 42 H 0.96703 * 113.99928 * 178.07608 * 13 12 11 43 43 H 0.96993 * 119.99704 * 179.97438 * 17 16 14 44 44 H 1.08997 * 113.77358 * 90.33593 * 22 10 8 45 45 H 1.09003 * 113.76547 * 318.93623 * 22 10 8 46 46 H 1.09007 * 109.50578 * 297.53798 * 24 23 6 47 47 H 1.08997 * 109.51099 * 57.67039 * 24 23 6 48 48 H 1.08995 * 109.50896 * 296.91449 * 25 24 23 49 49 H 1.09001 * 109.54551 * 176.79975 * 25 24 23 50 50 H 1.08999 * 109.50857 * 298.72961 * 27 26 25 51 51 H 1.09005 * 109.53923 * 178.62206 * 27 26 25 52 52 H 1.08998 * 109.50857 * 302.33093 * 28 23 6 53 53 H 1.09004 * 109.50722 * 62.41517 * 28 23 6 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 6 2.0400 1.4425 0.0000 4 6 3.5628 1.4451 0.1478 5 6 4.0236 2.8128 0.6554 6 6 1.6543 2.1198 -1.3166 7 1 0.6334 2.4954 -1.2466 8 6 2.5940 3.2668 -1.5856 9 8 3.5047 3.1322 -2.3754 10 7 2.4227 4.4420 -0.9487 11 6 3.1731 5.7120 -0.9015 12 6 1.8338 6.3681 -0.5199 13 8 1.0803 6.8322 -1.6419 14 6 1.9524 7.3974 0.5744 15 1 2.9163 7.6114 1.0123 16 6 0.8305 8.0659 1.0166 17 7 -0.3430 7.8056 0.4831 18 14 0.9775 9.3412 2.3736 19 1 -0.3625 9.9115 2.6640 20 1 1.5194 8.7003 3.5986 21 1 1.8926 10.4261 1.9364 22 6 1.4093 4.9760 -0.0181 23 7 1.7436 1.1461 -2.4129 24 6 3.0871 0.5532 -2.4826 25 6 3.1187 -0.4961 -3.5970 26 8 2.7315 0.1144 -4.8310 27 6 1.4277 0.7014 -4.7986 28 6 1.3786 1.7628 -3.6965 29 1 -0.3635 0.4326 -0.9321 30 1 -0.3633 -1.0236 0.0915 31 1 -0.3633 0.5910 0.8408 32 1 1.8932 -0.5137 -0.8901 33 1 1.8933 -0.5138 0.8899 34 1 1.5932 1.9859 0.8326 35 1 3.8601 0.6745 0.8591 36 1 4.0221 1.2430 -0.8198 37 1 3.9759 3.5372 -0.1576 38 1 3.3740 3.1363 1.4688 39 1 5.0494 2.7395 1.0170 40 1 3.5584 6.0308 -1.8701 41 1 3.9229 5.7522 -0.1113 42 1 0.2250 7.2185 -1.4086 43 1 -1.1322 8.2757 0.7944 44 1 1.6403 4.7984 1.0322 45 1 0.3862 4.7073 -0.2813 46 1 3.8183 1.3329 -2.6961 47 1 3.3261 0.0800 -1.5303 48 1 2.4261 -1.3028 -3.3570 49 1 4.1275 -0.8982 -3.6907 50 1 0.6860 -0.0705 -4.5936 51 1 1.2131 1.1660 -5.7611 52 1 0.3707 2.1724 -3.6299 53 1 2.0818 2.5625 -3.9291 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 ZINC000186812947.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 06:10:27 Heat of formation + Delta-G solvation = -58.928516 kcal Electronic energy + Delta-G solvation = -33711.827496 eV Core-core repulsion = 29586.309905 eV Total energy + Delta-G solvation = -4125.517591 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.69 seconds Orbital eigenvalues (eV) -41.17943 -39.09381 -37.81527 -36.54209 -34.39814 -33.81693 -32.24477 -31.89792 -31.10237 -29.79393 -28.23187 -26.31428 -25.65710 -25.32451 -24.19124 -23.48118 -22.01130 -20.80518 -20.17653 -19.64674 -18.35858 -17.49314 -16.71007 -16.62329 -16.11107 -15.70084 -15.36632 -15.20047 -14.96330 -14.84963 -14.33836 -14.13204 -13.85356 -13.78228 -13.69256 -13.21984 -12.85720 -12.74393 -12.55529 -12.44859 -12.26835 -12.08298 -11.95345 -11.71825 -11.59438 -11.47693 -11.24456 -11.17059 -11.08089 -10.98220 -10.77643 -10.67849 -10.57721 -10.40101 -10.29398 -10.25027 -10.04780 -9.87468 -9.46293 -9.34898 -8.81635 -8.51520 -7.97591 -7.73043 -6.43110 -4.53604 3.07771 3.13094 3.19377 3.21541 3.50409 3.81295 3.99660 4.15161 4.70369 4.76725 4.83081 4.87160 5.04177 5.10508 5.14855 5.24438 5.31442 5.42445 5.42933 5.48541 5.55573 5.56642 5.58763 5.61935 5.67921 5.72859 5.86125 5.88842 5.92783 6.05474 6.06436 6.08082 6.13343 6.15140 6.21203 6.29743 6.32167 6.32300 6.44555 6.49612 6.50287 6.57856 6.62257 6.65872 6.97286 7.02875 7.06231 7.21383 7.59229 7.77961 8.43272 8.49080 8.67311 9.17741 9.41347 10.63244 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.016425 B = 0.003625 C = 0.003441 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1704.268867 B = 7721.718044 C = 8134.629506 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 -0.113 4.113 3 C -0.073 4.073 4 C -0.147 4.147 5 C -0.176 4.176 6 C 0.076 3.924 7 H 0.099 0.901 8 C 0.516 3.484 9 O -0.561 6.561 10 N -0.627 5.627 11 C 0.108 3.892 12 C 0.241 3.759 13 O -0.574 6.574 14 C -0.538 4.538 15 H 0.070 0.930 16 C 0.074 3.926 17 N -0.898 5.898 18 Si 0.907 3.093 19 H -0.284 1.284 20 H -0.274 1.274 21 H -0.273 1.273 22 C 0.078 3.922 23 N -0.499 5.499 24 C -0.028 4.028 25 C 0.066 3.934 26 O -0.386 6.386 27 C 0.071 3.929 28 C 0.003 3.997 29 H 0.062 0.938 30 H 0.046 0.954 31 H 0.047 0.953 32 H 0.081 0.919 33 H 0.053 0.947 34 H 0.080 0.920 35 H 0.060 0.940 36 H 0.086 0.914 37 H 0.082 0.918 38 H 0.053 0.947 39 H 0.045 0.955 40 H 0.068 0.932 41 H 0.085 0.915 42 H 0.392 0.608 43 H 0.274 0.726 44 H 0.081 0.919 45 H 0.065 0.935 46 H 0.096 0.904 47 H 0.097 0.903 48 H 0.050 0.950 49 H 0.091 0.909 50 H 0.054 0.946 51 H 0.093 0.907 52 H 0.079 0.921 53 H 0.064 0.936 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.146 -14.596 -1.017 14.676 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 -0.204 4.204 2 C -0.151 4.151 3 C -0.092 4.092 4 C -0.184 4.184 5 C -0.233 4.233 6 C -0.036 4.036 7 H 0.117 0.883 8 C 0.306 3.694 9 O -0.443 6.443 10 N -0.360 5.360 11 C -0.014 4.014 12 C 0.199 3.801 13 O -0.386 6.386 14 C -0.576 4.576 15 H 0.088 0.912 16 C -0.129 4.129 17 N -0.539 5.539 18 Si 0.734 3.266 19 H -0.210 1.210 20 H -0.199 1.199 21 H -0.199 1.199 22 C -0.044 4.044 23 N -0.223 5.223 24 C -0.154 4.154 25 C -0.011 4.011 26 O -0.304 6.304 27 C -0.006 4.006 28 C -0.125 4.125 29 H 0.081 0.919 30 H 0.065 0.935 31 H 0.066 0.934 32 H 0.100 0.900 33 H 0.072 0.928 34 H 0.098 0.902 35 H 0.079 0.921 36 H 0.104 0.896 37 H 0.101 0.899 38 H 0.072 0.928 39 H 0.065 0.935 40 H 0.087 0.913 41 H 0.103 0.897 42 H 0.248 0.752 43 H 0.084 0.916 44 H 0.099 0.901 45 H 0.084 0.916 46 H 0.114 0.886 47 H 0.115 0.885 48 H 0.068 0.932 49 H 0.109 0.891 50 H 0.072 0.928 51 H 0.111 0.889 52 H 0.098 0.902 53 H 0.082 0.918 Dipole moment (debyes) X Y Z Total from point charges 1.711 -15.394 -1.928 15.608 hybrid contribution -0.277 1.603 1.368 2.125 sum 1.433 -13.791 -0.560 13.877 Atomic orbital electron populations 1.21716 0.95791 1.00843 1.02018 1.21649 0.96313 0.95157 1.01959 1.21252 0.96039 0.96940 0.94952 1.22215 0.95096 0.98208 1.02886 1.22382 1.00339 0.97935 1.02683 1.21784 0.99408 0.89535 0.92903 0.88280 1.21144 0.85521 0.82655 0.80074 1.90537 1.35044 1.81657 1.37043 1.50406 1.28680 1.12043 1.44881 1.23460 0.97141 0.80013 1.00803 1.19808 0.86552 0.88983 0.84726 1.86059 1.37213 1.81674 1.33672 1.21475 0.95030 1.22243 1.18842 0.91187 1.25045 0.94824 0.96381 0.96622 1.69299 0.99086 1.42483 1.43002 0.86408 0.77521 0.81222 0.81495 1.20981 1.19893 1.19859 1.24301 0.91399 0.95898 0.92836 1.62777 1.26433 1.30007 1.03100 1.23769 0.92273 0.99492 0.99908 1.22668 1.00158 0.94368 0.83905 1.87962 1.33816 1.74722 1.33919 1.22557 0.84817 0.94804 0.98396 1.22908 1.02011 0.97709 0.89853 0.91886 0.93477 0.93419 0.90028 0.92830 0.90183 0.92118 0.89559 0.89938 0.92770 0.93544 0.91346 0.89720 0.75187 0.91578 0.90075 0.91606 0.88627 0.88494 0.93161 0.89071 0.92790 0.88870 0.90235 0.91753 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 -1.57 9.64 37.16 0.36 -1.21 16 2 C -0.11 -1.25 4.73 -26.73 -0.13 -1.38 16 3 C -0.07 -0.95 2.01 -90.62 -0.18 -1.13 16 4 C -0.15 -1.97 4.29 -26.73 -0.11 -2.08 16 5 C -0.18 -2.67 9.03 37.16 0.34 -2.33 16 6 C 0.08 1.14 1.53 -68.86 -0.11 1.03 16 7 H 0.10 1.54 7.93 -51.93 -0.41 1.13 16 8 C 0.52 9.45 3.38 -10.99 -0.04 9.41 16 9 O -0.56 -11.53 12.02 5.55 0.07 -11.46 16 10 N -0.63 -12.16 2.18 -178.31 -0.39 -12.54 16 11 C 0.11 2.25 7.47 -2.97 -0.02 2.23 16 12 C 0.24 5.54 1.44 -90.85 -0.13 5.41 16 13 O -0.57 -14.38 13.48 -35.23 -0.48 -14.86 16 14 C -0.54 -13.08 8.62 -34.44 -0.30 -13.37 16 15 H 0.07 1.66 7.81 -52.48 -0.41 1.25 16 16 C 0.07 1.79 5.40 -17.82 -0.10 1.69 16 17 N -0.90 -22.13 11.08 55.43 0.61 -21.52 16 18 Si 0.91 19.06 29.54 -169.99 -5.02 14.04 16 19 H -0.28 -5.97 7.11 56.52 0.40 -5.57 16 20 H -0.27 -5.69 7.11 56.52 0.40 -5.29 16 21 H -0.27 -5.80 7.11 56.52 0.40 -5.40 16 22 C 0.08 1.58 7.97 -2.98 -0.02 1.56 16 23 N -0.50 -6.92 3.45 -227.72 -0.79 -7.71 16 24 C -0.03 -0.38 2.94 -3.71 -0.01 -0.39 16 25 C 0.07 0.81 7.01 37.21 0.26 1.07 16 26 O -0.39 -5.56 10.83 -35.23 -0.38 -5.94 16 27 C 0.07 0.90 7.01 37.20 0.26 1.16 16 28 C 0.00 0.05 5.27 -3.72 -0.02 0.03 16 29 H 0.06 0.73 7.23 -51.93 -0.38 0.36 16 30 H 0.05 0.45 8.14 -51.93 -0.42 0.03 16 31 H 0.05 0.51 8.14 -51.92 -0.42 0.09 16 32 H 0.08 0.92 4.95 -51.93 -0.26 0.66 16 33 H 0.05 0.54 8.01 -51.93 -0.42 0.13 16 34 H 0.08 1.09 7.73 -51.93 -0.40 0.68 16 35 H 0.06 0.71 7.88 -51.93 -0.41 0.30 16 36 H 0.09 1.24 3.74 -51.93 -0.19 1.05 16 37 H 0.08 1.46 3.02 -51.93 -0.16 1.30 16 38 H 0.05 0.81 7.78 -51.93 -0.40 0.41 16 39 H 0.05 0.65 8.14 -51.93 -0.42 0.23 16 40 H 0.07 1.49 8.14 -51.92 -0.42 1.07 16 41 H 0.08 1.64 7.89 -51.93 -0.41 1.23 16 42 H 0.39 9.95 6.45 45.56 0.29 10.25 16 43 H 0.27 6.47 8.31 -40.82 -0.34 6.13 16 44 H 0.08 1.58 8.09 -51.93 -0.42 1.16 16 45 H 0.07 1.34 8.14 -51.93 -0.42 0.92 16 46 H 0.10 1.63 4.74 -51.93 -0.25 1.39 16 47 H 0.10 1.19 3.67 -51.93 -0.19 1.00 16 48 H 0.05 0.55 8.14 -51.93 -0.42 0.13 16 49 H 0.09 0.97 8.14 -51.93 -0.42 0.55 16 50 H 0.05 0.61 8.14 -51.93 -0.42 0.19 16 51 H 0.09 1.04 8.14 -51.93 -0.42 0.62 16 52 H 0.08 1.09 8.14 -51.93 -0.42 0.67 16 53 H 0.06 1.16 6.13 -51.93 -0.32 0.84 16 LS Contribution 384.43 15.07 5.79 5.79 Total: -1.00 -26.38 384.43 -8.62 -35.00 By element: Atomic # 1 Polarization: 25.59 SS G_CDS: -8.09 Total: 17.50 kcal Atomic # 6 Polarization: 1.65 SS G_CDS: 0.05 Total: 1.70 kcal Atomic # 7 Polarization: -41.21 SS G_CDS: -0.56 Total: -41.77 kcal Atomic # 8 Polarization: -31.48 SS G_CDS: -0.79 Total: -32.27 kcal Atomic # 14 Polarization: 19.06 SS G_CDS: -5.02 Total: 14.04 kcal Total LS contribution 5.79 Total: 5.79 kcal Total: -26.38 -8.62 -35.00 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. ZINC000186812947.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 -23.928 kcal (2) G-P(sol) polarization free energy of solvation -26.383 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -50.311 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.618 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -35.001 kcal (6) G-S(sol) free energy of system = (1) + (5) -58.929 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.69 seconds