Wall clock time and date at job start Thu Apr 15 2021 11:27:25 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= 0 * 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 1.53000 * 1 3 3 N 1.46495 * 109.47330 * 2 1 4 4 C 1.34944 * 126.03785 * 125.28190 * 3 2 1 5 5 C 1.35322 * 107.74663 * 180.02562 * 4 3 2 6 6 C 1.50699 * 126.04046 * 180.02562 * 5 4 3 7 7 N 1.46500 * 109.46945 * 101.57894 * 6 5 4 8 8 C 1.46498 * 120.00402 * 93.21496 * 7 6 5 9 9 C 1.50696 * 109.46914 * 89.99440 * 8 7 6 10 10 C 1.38211 * 120.00542 * 270.27407 * 9 8 7 11 11 C 1.38257 * 120.00167 * 180.02562 * 10 9 8 12 12 C 1.38217 * 119.99965 * 359.97438 * 11 10 9 13 13 C 1.38251 * 119.99909 * 359.97438 * 12 11 10 14 Xx 1.81001 * 120.00153 * 179.97438 * 13 12 11 15 14 F 9.66171 * 166.51608 * 8.85203 * 5 1 2 16 15 F 1.61001 * 89.99807 * 315.00062 * 14 13 12 17 16 F 1.60998 * 90.00146 * 134.99733 * 14 13 12 18 17 F 1.61001 * 90.00065 * 44.99766 * 14 13 12 19 18 F 1.60993 * 90.00336 * 225.00120 * 14 13 12 20 19 C 1.38215 * 120.00046 * 359.81365 * 13 12 11 21 20 C 1.34780 * 119.99678 * 273.21682 * 7 6 5 22 21 O 1.21284 * 119.99476 * 184.99377 * 21 7 6 23 22 C 1.50697 * 120.00278 * 4.99011 * 21 7 6 24 23 C 1.52994 * 109.47092 * 175.94201 * 23 21 7 25 24 Si 1.86304 * 109.47330 * 179.97438 * 24 23 21 26 25 H 1.48493 * 109.47348 * 179.97438 * 25 24 23 27 26 H 1.48498 * 109.47091 * 299.99891 * 25 24 23 28 27 H 1.48502 * 109.47014 * 59.99354 * 25 24 23 29 28 C 1.39866 * 107.91992 * 0.02562 * 5 4 3 30 29 C 1.50697 * 125.89888 * 179.97438 * 29 5 4 31 30 N 1.30845 * 108.20386 * 359.71582 * 29 5 4 32 31 H 1.09002 * 109.46832 * 180.02562 * 1 2 3 33 32 H 1.09003 * 109.46804 * 299.99323 * 1 2 3 34 33 H 1.08999 * 109.47562 * 60.00197 * 1 2 3 35 34 H 1.08997 * 109.47087 * 120.00623 * 2 1 3 36 35 H 1.09001 * 109.46697 * 240.00134 * 2 1 3 37 36 H 1.07999 * 126.12657 * 359.97438 * 4 3 2 38 37 H 1.09000 * 109.47506 * 221.57630 * 6 5 4 39 38 H 1.08999 * 109.47066 * 341.58049 * 6 5 4 40 39 H 1.08993 * 109.47293 * 209.99921 * 8 7 6 41 40 H 1.09006 * 109.46755 * 330.00207 * 8 7 6 42 41 H 1.07994 * 119.99883 * 359.97438 * 10 9 8 43 42 H 1.08003 * 119.99998 * 179.97438 * 11 10 9 44 43 H 1.07994 * 119.99855 * 179.97438 * 12 11 10 45 44 H 1.08003 * 119.99919 * 180.02562 * 20 13 12 46 45 H 1.09003 * 109.47265 * 295.93933 * 23 21 7 47 46 H 1.09000 * 109.47170 * 55.93863 * 23 21 7 48 47 H 1.09000 * 109.47044 * 299.99489 * 24 23 21 49 48 H 1.08995 * 109.47629 * 60.00215 * 24 23 21 50 49 H 1.09004 * 109.47348 * 94.75581 * 30 29 5 51 50 H 1.09003 * 109.47014 * 214.75215 * 30 29 5 52 51 H 1.08997 * 109.47468 * 334.75329 * 30 29 5 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 1.3812 0.0000 4 6 2.8773 1.9195 0.8908 5 6 3.0739 3.2128 0.5444 6 6 3.9608 4.1978 1.2615 7 7 5.2202 4.3450 0.5278 8 6 5.3688 5.4110 -0.4660 9 6 5.9057 6.6500 0.2029 10 6 5.0339 7.5795 0.7379 11 6 5.5265 8.7165 1.3512 12 6 6.8909 8.9234 1.4296 13 6 7.7629 7.9932 0.8953 14 9 11.1401 8.5032 1.0892 15 9 9.3429 9.7957 0.5451 16 9 9.7562 6.7331 1.4498 17 9 9.3955 8.6993 2.5399 18 9 9.7038 7.8296 -0.5450 19 6 7.2705 6.8544 0.2862 20 6 6.2423 3.4996 0.7671 21 8 7.3140 3.6758 0.2274 22 6 6.0534 2.3355 1.7054 23 6 7.3236 1.4829 1.7224 24 14 7.0905 0.0443 2.8829 25 1 8.3232 -0.7836 2.8989 26 1 6.8166 0.5515 4.2514 27 1 5.9456 -0.7822 2.4230 28 6 2.3085 3.4738 -0.5968 29 6 2.2269 4.7914 -1.3237 30 7 1.6798 2.3750 -0.9274 31 1 -0.3633 -1.0277 0.0005 32 1 -0.3633 0.5137 0.8901 33 1 -0.3634 0.5138 -0.8900 34 1 1.8933 -0.5139 0.8899 35 1 1.8933 -0.5138 -0.8900 36 1 3.3265 1.4098 1.7302 37 1 3.4589 5.1637 1.3192 38 1 4.1671 3.8348 2.2684 39 1 6.0612 5.0888 -1.2437 40 1 4.3984 5.6302 -0.9115 41 1 3.9679 7.4181 0.6763 42 1 4.8453 9.4431 1.7689 43 1 7.2757 9.8118 1.9082 44 1 7.9518 6.1275 -0.1308 45 1 5.8521 2.7075 2.7100 46 1 5.2132 1.7290 1.3674 47 1 7.5249 1.1109 0.7178 48 1 8.1639 2.0894 2.0604 49 1 2.9411 4.7969 -2.1472 50 1 1.2191 4.9282 -1.7159 51 1 2.4615 5.6021 -0.6340 RHF calculation, no. of doubly occupied orbitals= 76 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) F: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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. SCF OSCILLATION -- NSTAR INDEX INCREASED BY ONE SCF OSCILLATION -- NSTAR INDEX INCREASED BY ONE CHARGE=0 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 m_275550_18161096_17777120_13179792.mol2 52 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Thu Apr 15 2021 11:27:25 Heat of formation + Delta-G solvation = 444.560461 kcal Electronic energy + Delta-G solvation = -41126.610145 eV Core-core repulsion = 35198.449580 eV Total energy + Delta-G solvation = -5928.160566 eV No. of doubly occupied orbitals = 76 Molecular weight (most abundant/longest-lived isotopes) = 409.166 amu Computer time = 31.43 seconds Orbital eigenvalues (eV) -43.70364 -43.56946 -43.46031 -43.38444 -43.15737 -42.64371 -41.71157 -40.61516 -37.39082 -35.82158 -34.60590 -33.25820 -32.74214 -32.57361 -31.59317 -29.25363 -28.17017 -27.08945 -24.90595 -24.25768 -23.97483 -22.90149 -22.12336 -20.95131 -20.00523 -18.58428 -18.51188 -17.82125 -17.64018 -17.20472 -16.99882 -16.58844 -16.28086 -15.80128 -15.71091 -15.50432 -15.33953 -15.18361 -14.93352 -14.85380 -14.69182 -14.51523 -14.47937 -14.25472 -14.10939 -14.08102 -13.85774 -13.76116 -13.69786 -13.57304 -13.49152 -13.46107 -13.41378 -13.33643 -13.25656 -13.16835 -13.13522 -13.08241 -12.98476 -12.89977 -12.80256 -12.57478 -12.47900 -12.06085 -11.79531 -11.73241 -11.63025 -11.59070 -11.22755 -11.15156 -11.06142 -10.71129 -10.64106 -10.37126 -10.13686 -9.59942 -4.63701 -4.13797 -3.18750 -0.92289 -0.76876 0.68211 1.22741 1.31341 1.38726 1.48369 1.49998 1.51710 1.61606 1.94496 2.17178 2.54758 2.75340 3.02645 3.18610 3.21705 3.23627 3.42774 3.48427 3.64110 3.66707 3.74150 3.80007 3.83921 3.88201 3.95113 4.01409 4.03500 4.05528 4.09303 4.21862 4.28232 4.35391 4.37395 4.42420 4.45375 4.47452 4.53396 4.55185 4.67296 4.70494 4.73109 4.80507 4.84934 4.99522 5.12168 5.29056 5.49644 5.82256 6.08058 6.58407 7.02120 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.166 4.166 2 C 0.127 3.873 3 N -0.365 5.365 4 C 0.071 3.929 5 C -0.267 4.267 6 C 0.187 3.813 7 N -0.609 5.609 8 C 0.149 3.851 9 C -0.054 4.054 10 C -0.092 4.092 11 C -0.064 4.064 12 C -0.109 4.109 13 C 0.376 3.624 14 F -0.128 7.128 15 F -0.177 7.177 16 F -0.156 7.156 17 F -0.178 7.178 18 F -0.169 7.169 19 C -0.093 4.093 20 C 0.520 3.480 21 O -0.523 6.523 22 C -0.134 4.134 23 C -0.336 4.336 24 Si 0.960 3.040 25 H -0.257 1.257 26 H -0.259 1.259 27 H -0.263 1.263 28 C 0.087 3.913 29 C -0.080 4.080 30 N -0.287 5.287 31 H 0.077 0.923 32 H 0.061 0.939 33 H 0.071 0.929 34 H 0.098 0.902 35 H 0.087 0.913 36 H 0.174 0.826 37 H 0.091 0.909 38 H 0.090 0.910 39 H 0.106 0.894 40 H 0.112 0.888 41 H 0.165 0.835 42 H 0.179 0.821 43 H 0.183 0.817 44 H 0.189 0.811 45 H 0.098 0.902 46 H 0.094 0.906 47 H 0.090 0.910 48 H 0.093 0.907 49 H 0.079 0.921 50 H 0.078 0.922 51 H 0.076 0.924 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -15.787 -3.426 2.151 16.297 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 -0.223 4.223 2 C 0.007 3.993 3 N -0.146 5.146 4 C -0.077 4.077 5 C -0.280 4.280 6 C 0.064 3.936 7 N -0.343 5.343 8 C 0.026 3.974 9 C -0.056 4.056 10 C -0.110 4.110 11 C -0.082 4.082 12 C -0.126 4.126 13 C 0.370 3.630 14 F -0.128 7.128 15 F -0.176 7.176 16 F -0.154 7.154 17 F -0.176 7.176 18 F -0.167 7.167 19 C -0.111 4.111 20 C 0.309 3.691 21 O -0.398 6.398 22 C -0.174 4.174 23 C -0.429 4.429 24 Si 0.786 3.214 25 H -0.181 1.181 26 H -0.183 1.183 27 H -0.187 1.187 28 C -0.080 4.080 29 C -0.138 4.138 30 N -0.109 5.109 31 H 0.096 0.904 32 H 0.080 0.920 33 H 0.090 0.910 34 H 0.116 0.884 35 H 0.105 0.895 36 H 0.191 0.809 37 H 0.109 0.891 38 H 0.108 0.892 39 H 0.125 0.875 40 H 0.130 0.870 41 H 0.182 0.818 42 H 0.196 0.804 43 H 0.200 0.800 44 H 0.206 0.794 45 H 0.116 0.884 46 H 0.112 0.888 47 H 0.108 0.892 48 H 0.112 0.888 49 H 0.098 0.902 50 H 0.097 0.903 51 H 0.094 0.906 Dipole moment (debyes) X Y Z Total from point charges -16.212 -4.825 1.612 16.991 hybrid contribution 2.093 0.798 0.460 2.287 sum -14.118 -4.028 2.072 14.827 Atomic orbital electron populations 1.22055 0.93339 1.03265 1.03682 1.21796 0.96478 0.76937 1.04132 1.48694 1.34826 1.10326 1.20757 1.22459 0.94793 0.94257 0.96226 1.20171 1.09232 0.95649 1.02943 1.19794 0.81829 0.98172 0.93822 1.48203 1.14259 1.30345 1.41452 1.20616 1.03412 0.82623 0.90720 1.20554 0.86973 0.98339 0.99713 1.21747 1.02007 0.92542 0.94707 1.21439 0.89104 0.98838 0.98786 1.21981 0.89110 1.01484 1.00048 1.26726 0.33847 0.96732 1.05715 2.00000 1.99191 1.78134 1.35455 1.99921 1.93568 1.62338 1.61724 1.99922 1.95466 1.55342 1.64685 1.99919 1.92899 1.95177 1.29596 1.99922 1.96088 1.97066 1.23595 1.21978 0.95005 0.95978 0.98113 1.20866 0.83162 0.82936 0.82160 1.90744 1.25305 1.73331 1.50432 1.21560 1.00419 0.95476 0.99925 1.25048 0.99823 1.08089 1.09907 0.85150 0.80819 0.77211 0.78223 1.18078 1.18313 1.18675 1.22159 0.95475 0.95266 0.95131 1.20317 1.03899 0.90144 0.99464 1.77380 1.23814 0.96438 1.13318 0.90410 0.91989 0.90964 0.88404 0.89453 0.80915 0.89080 0.89175 0.87535 0.87047 0.81780 0.80397 0.79961 0.79424 0.88371 0.88780 0.89175 0.88844 0.90216 0.90338 0.90550 Number of geometries 1 Number of calculations of the screened coulomb radii 6 The total number of SCF iterations 424. 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 0.57 10.10 37.16 0.38 0.94 16 2 C 0.13 -0.48 7.23 -4.04 -0.03 -0.51 16 3 N -0.37 0.63 3.68 -61.37 -0.23 0.40 16 4 C 0.07 -0.26 9.89 -17.22 -0.17 -0.43 16 5 C -0.27 1.07 5.48 -105.05 -0.58 0.49 16 6 C 0.19 -1.20 5.31 -5.19 -0.03 -1.23 16 7 N -0.61 2.67 2.45 -176.44 -0.43 2.24 16 8 C 0.15 -0.78 5.48 -5.20 -0.03 -0.81 16 9 C -0.05 0.27 5.46 -104.63 -0.57 -0.30 16 10 C -0.09 0.74 9.70 -39.58 -0.38 0.35 16 11 C -0.06 0.48 10.05 -39.58 -0.40 0.08 16 12 C -0.11 0.35 8.62 -39.58 -0.34 0.01 16 13 C 0.38 0.28 4.82 -39.58 -0.19 0.09 16 14 F -0.13 -1.59 16.67 2.25 0.04 -1.55 16 15 F -0.18 -1.42 15.32 2.25 0.03 -1.39 16 16 F -0.16 -1.40 15.30 2.25 0.03 -1.36 16 17 F -0.18 -1.42 15.31 2.25 0.03 -1.39 16 18 F -0.17 -1.48 15.32 2.25 0.03 -1.44 16 19 C -0.09 0.10 8.14 -39.58 -0.32 -0.22 16 20 C 0.52 -0.71 7.63 -10.99 -0.08 -0.80 16 21 O -0.52 -1.36 14.82 5.55 0.08 -1.28 16 22 C -0.13 0.46 3.68 -27.89 -0.10 0.36 16 23 C -0.34 0.62 3.75 37.15 0.14 0.76 16 24 Si 0.96 -1.93 29.30 -169.99 -4.98 -6.91 16 25 H -0.26 -0.06 7.11 56.52 0.40 0.34 16 26 H -0.26 0.34 7.11 56.52 0.40 0.75 16 27 H -0.26 0.51 7.11 56.52 0.40 0.91 16 28 C 0.09 -0.20 7.22 -82.40 -0.59 -0.79 16 29 C -0.08 0.42 8.86 36.00 0.32 0.74 16 30 N -0.29 -0.07 12.42 33.67 0.42 0.35 16 31 H 0.08 -0.36 8.14 -51.93 -0.42 -0.78 16 32 H 0.06 -0.18 8.14 -51.93 -0.42 -0.60 16 33 H 0.07 -0.11 8.14 -51.93 -0.42 -0.54 16 34 H 0.10 -0.60 8.07 -51.93 -0.42 -1.02 16 35 H 0.09 -0.33 8.14 -51.93 -0.42 -0.75 16 36 H 0.17 -1.15 7.10 -52.49 -0.37 -1.52 16 37 H 0.09 -0.79 7.50 -51.93 -0.39 -1.18 16 38 H 0.09 -0.69 6.72 -51.93 -0.35 -1.03 16 39 H 0.11 -0.37 7.44 -51.93 -0.39 -0.76 16 40 H 0.11 -0.88 4.79 -51.93 -0.25 -1.13 16 41 H 0.16 -1.89 8.05 -52.49 -0.42 -2.31 16 42 H 0.18 -1.90 8.06 -52.48 -0.42 -2.32 16 43 H 0.18 -0.63 7.40 -52.49 -0.39 -1.01 16 44 H 0.19 0.22 6.74 -52.48 -0.35 -0.14 16 45 H 0.10 -0.55 7.30 -51.93 -0.38 -0.93 16 46 H 0.09 -0.46 5.00 -51.93 -0.26 -0.72 16 47 H 0.09 -0.10 7.96 -51.93 -0.41 -0.51 16 48 H 0.09 -0.06 7.88 -51.93 -0.41 -0.47 16 49 H 0.08 -0.44 7.68 -51.93 -0.40 -0.84 16 50 H 0.08 -0.35 8.14 -51.93 -0.42 -0.77 16 51 H 0.08 -0.63 6.54 -51.93 -0.34 -0.96 16 LS Contribution 438.24 15.07 6.60 6.60 Total: 0.00 -17.09 438.24 -8.21 -25.29 By element: Atomic # 1 Polarization: -11.44 SS G_CDS: -6.86 Total: -18.30 kcal Atomic # 6 Polarization: 1.72 SS G_CDS: -2.99 Total: -1.27 kcal Atomic # 7 Polarization: 3.23 SS G_CDS: -0.24 Total: 2.99 kcal Atomic # 8 Polarization: -1.36 SS G_CDS: 0.08 Total: -1.28 kcal Atomic # 9 Polarization: -7.31 SS G_CDS: 0.18 Total: -7.14 kcal Atomic # 14 Polarization: -1.93 SS G_CDS: -4.98 Total: -6.91 kcal Total LS contribution 6.60 Total: 6.60 kcal Total: -17.09 -8.21 -25.29 kcal The number of atoms in the molecule is 51 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. m_275550_18161096_17777120_13179792.mol2 52 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 469.852 kcal (2) G-P(sol) polarization free energy of solvation -17.085 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 452.767 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.206 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -25.292 kcal (6) G-S(sol) free energy of system = (1) + (5) 444.560 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 31.43 seconds