Wall clock time and date at job start Tue Mar 9 2021 14:41:05 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 N 1.46499 * 1 3 3 C 1.37642 * 125.68024 * 2 1 4 4 C 1.46672 * 126.22281 * 0.02562 * 3 2 1 5 5 O 1.21695 * 120.00040 * 5.31193 * 4 3 2 6 6 N 1.34778 * 120.00257 * 185.31618 * 4 3 2 7 7 C 1.46497 * 120.00361 * 185.04745 * 6 4 3 8 8 H 1.08994 * 112.84865 * 23.80313 * 7 6 4 9 9 C 1.53774 * 113.61417 * 155.00053 * 7 6 4 10 10 C 1.53782 * 87.08405 * 139.97978 * 9 7 6 11 11 H 1.08998 * 113.61093 * 89.19701 * 10 9 7 12 12 N 1.46496 * 113.61544 * 220.01722 * 10 9 7 13 13 C 1.34774 * 119.99715 * 204.99932 * 12 10 9 14 14 O 1.21512 * 120.00285 * 359.97438 * 13 12 10 15 15 O 1.34639 * 120.00008 * 180.02562 * 13 12 10 16 16 C 1.45207 * 117.00375 * 180.02562 * 15 13 12 17 17 C 1.50697 * 109.47051 * 179.97438 * 16 15 13 18 18 C 1.38236 * 119.99647 * 269.72223 * 17 16 15 19 19 C 1.38246 * 119.99287 * 179.79013 * 18 17 16 20 20 C 1.38234 * 119.99942 * 0.44448 * 19 18 17 21 21 C 1.38231 * 120.00146 * 359.81126 * 20 19 18 22 22 C 1.38228 * 120.00143 * 359.97438 * 21 20 19 23 23 C 1.53779 * 87.07931 * 334.56744 * 10 9 7 24 24 C 1.37881 * 107.55009 * 180.25581 * 3 2 1 25 25 C 1.39880 * 107.09271 * 359.74346 * 24 3 2 26 26 Br 1.89098 * 126.07106 * 179.97438 * 25 24 3 27 27 C 1.35507 * 107.85297 * 359.97438 * 25 24 3 28 28 C 1.50693 * 125.57085 * 180.02562 * 27 25 24 29 29 O 1.42898 * 109.46831 * 237.04386 * 28 27 25 30 30 Si 1.86297 * 109.47232 * 117.04069 * 28 27 25 31 31 H 1.09001 * 109.46908 * 271.24379 * 1 2 3 32 32 H 1.09002 * 109.47061 * 31.24232 * 1 2 3 33 33 H 1.09000 * 109.47499 * 151.24330 * 1 2 3 34 34 H 0.97003 * 119.99185 * 5.04727 * 6 4 3 35 35 H 1.09003 * 113.61890 * 254.53047 * 9 7 6 36 36 H 1.09007 * 113.61902 * 25.43110 * 9 7 6 37 37 H 0.96998 * 120.00610 * 24.99810 * 12 10 9 38 38 H 1.08997 * 109.47005 * 299.99861 * 16 15 13 39 39 H 1.08997 * 109.46944 * 59.99377 * 16 15 13 40 40 H 1.07989 * 120.00350 * 0.02562 * 18 17 16 41 41 H 1.07999 * 119.99656 * 180.27602 * 19 18 17 42 42 H 1.07998 * 119.99407 * 179.83316 * 20 19 18 43 43 H 1.08004 * 119.99977 * 180.02562 * 21 20 19 44 44 H 1.08003 * 119.99762 * 179.97438 * 22 21 20 45 45 H 1.08996 * 113.61411 * 270.88293 * 23 10 9 46 46 H 1.08997 * 113.61665 * 139.97921 * 23 10 9 47 47 H 1.08005 * 126.45462 * 179.77343 * 24 3 2 48 48 H 1.09003 * 109.47238 * 357.04144 * 28 27 25 49 49 H 0.96710 * 113.99818 * 179.97438 * 29 28 27 50 50 H 1.48495 * 110.00469 * 299.33950 * 30 28 27 51 51 H 1.48506 * 109.99534 * 60.65905 * 30 28 27 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 7 1.4650 0.0000 0.0000 3 6 2.2678 1.1180 0.0000 4 6 1.8122 2.5122 0.0005 5 8 0.6258 2.7646 0.0986 6 7 2.7075 3.5138 -0.1077 7 6 2.2660 4.9062 0.0038 8 1 1.3358 5.0119 0.5619 9 6 3.3734 5.8686 0.4643 10 6 2.8154 6.8743 -0.5566 11 1 2.0359 7.5199 -0.1522 12 7 3.8530 7.6172 -1.2760 13 6 3.5754 8.8284 -1.7978 14 8 2.4643 9.3040 -1.6720 15 8 4.5288 9.5110 -2.4594 16 6 4.1592 10.8094 -2.9942 17 6 5.3450 11.4199 -3.6956 18 6 6.2247 12.2231 -2.9941 19 6 7.3150 12.7795 -3.6365 20 6 7.5204 12.5403 -4.9824 21 6 6.6377 11.7415 -5.6850 22 6 5.5500 11.1814 -5.0417 23 6 2.2730 5.6637 -1.3346 24 6 3.5781 0.6890 -0.0059 25 6 3.5528 -0.7096 -0.0034 26 35 5.0609 -1.8504 -0.0098 27 6 2.2557 -1.1016 0.0043 28 6 1.7712 -2.5285 0.0098 29 8 0.9181 -2.7462 -1.1157 30 14 0.8238 -2.8566 1.5800 31 1 -0.3633 0.0223 1.0274 32 1 -0.3633 0.8786 -0.5330 33 1 -0.3634 -0.9009 -0.4944 34 1 3.6442 3.3126 -0.2593 35 1 3.2674 6.1930 1.4995 36 1 4.3795 5.5210 0.2296 37 1 4.7399 7.2375 -1.3768 38 1 3.3393 10.6905 -3.7025 39 1 3.8439 11.4615 -2.1796 40 1 6.0623 12.4127 -1.9434 41 1 8.0047 13.4034 -3.0875 42 1 8.3706 12.9773 -5.4849 43 1 6.7984 11.5542 -6.7365 44 1 4.8602 10.5576 -5.5908 45 1 2.9782 5.2600 -2.0611 46 1 1.2786 5.8226 -1.7516 47 1 4.4583 1.3149 -0.0109 48 1 2.6259 -3.2027 -0.0464 49 1 0.5688 -3.6459 -1.1762 50 1 1.7045 -2.6491 2.7575 51 1 -0.3531 -1.9545 1.6608 There are 74 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 74 No. of singly occupied orbitals= 1 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). Br: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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=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 s_22_12109458_5000100.mol2 51 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 9 2021 14:41:05 Heat of formation + Delta-G solvation = -30.143599 kcal Electronic energy + Delta-G solvation = -35978.103626 eV Core-core repulsion = 30892.590062 eV Total energy + Delta-G solvation = -5085.513564 eV No. of doubly occupied orbitals = 74 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 464.083 amu Computer time = 1.31 seconds Orbital eigenvalues (eV) -42.87555 -41.73041 -40.91176 -40.12270 -39.33018 -37.84656 -37.33707 -35.57394 -34.55389 -33.85951 -33.00431 -32.08722 -31.91116 -30.97034 -27.85198 -27.40121 -27.26014 -26.98724 -25.26563 -23.59968 -23.27343 -22.55094 -22.12755 -21.58720 -21.48465 -20.38453 -19.64521 -18.78431 -18.64860 -18.40239 -17.81291 -17.53304 -17.28222 -17.02238 -16.94291 -16.34097 -16.08064 -16.07740 -15.99937 -15.89189 -15.36500 -15.04329 -14.67189 -14.63772 -14.47617 -14.44340 -14.36032 -14.28108 -14.17760 -13.92457 -13.81105 -13.75482 -13.61369 -13.33310 -13.25961 -12.85031 -12.56924 -12.51351 -12.18765 -12.13932 -12.09573 -12.03777 -11.88067 -11.60415 -11.55152 -11.31443 -11.03714 -10.72037 -10.37479 -10.15484 -9.91892 -9.89979 -9.81165 -9.30127 -5.21577 0.10401 0.13301 0.40656 0.62028 0.89804 1.21230 1.23146 1.45264 1.50953 1.80539 1.81985 2.14011 2.21138 2.74995 3.00949 3.12081 3.25235 3.31793 3.48984 3.55235 3.65401 3.69362 3.72940 3.75197 3.77755 3.98044 4.01139 4.14451 4.19605 4.19973 4.25660 4.29275 4.38827 4.40940 4.41579 4.43469 4.50314 4.59666 4.63273 4.63440 4.65142 4.84529 4.88291 4.93594 5.02804 5.17343 5.24559 5.35015 5.37023 5.45669 5.52062 5.52771 5.58652 5.79585 5.96134 6.26710 6.33086 6.36847 6.99506 7.31537 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.057 3.943 2 N -0.386 5.386 3 C -0.034 4.034 4 C 0.594 3.406 5 O -0.537 6.537 6 N -0.705 5.705 7 C 0.131 3.869 8 H 0.124 0.876 9 C -0.152 4.152 10 C 0.144 3.856 11 H 0.126 0.874 12 N -0.697 5.697 13 C 0.648 3.352 14 O -0.569 6.569 15 O -0.365 6.365 16 C 0.130 3.870 17 C -0.102 4.102 18 C -0.093 4.093 19 C -0.123 4.123 20 C -0.107 4.107 21 C -0.123 4.123 22 C -0.093 4.093 23 C -0.166 4.166 24 C -0.110 4.110 25 C -0.159 4.159 26 Br -0.016 7.016 27 C 0.092 3.908 28 C -0.053 4.053 29 O -0.545 6.545 30 Si 0.685 3.315 31 H 0.079 0.921 32 H 0.107 0.893 33 H 0.101 0.899 34 H 0.405 0.595 35 H 0.091 0.909 36 H 0.097 0.903 37 H 0.408 0.592 38 H 0.081 0.919 39 H 0.082 0.918 40 H 0.125 0.875 41 H 0.127 0.873 42 H 0.126 0.874 43 H 0.127 0.873 44 H 0.125 0.875 45 H 0.093 0.907 46 H 0.084 0.916 47 H 0.158 0.842 48 H 0.097 0.903 49 H 0.390 0.610 50 H -0.250 1.250 51 H -0.245 1.245 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 3.031 -3.425 0.214 4.578 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 -0.083 4.083 2 N -0.059 5.059 3 C -0.149 4.149 4 C 0.382 3.618 5 O -0.415 6.415 6 N -0.356 5.356 7 C 0.025 3.975 8 H 0.142 0.858 9 C -0.191 4.191 10 C 0.039 3.961 11 H 0.144 0.856 12 N -0.356 5.356 13 C 0.401 3.599 14 O -0.458 6.458 15 O -0.279 6.279 16 C 0.056 3.944 17 C -0.103 4.103 18 C -0.112 4.112 19 C -0.141 4.141 20 C -0.125 4.125 21 C -0.141 4.141 22 C -0.111 4.111 23 C -0.206 4.206 24 C -0.137 4.137 25 C -0.245 4.245 26 Br 0.068 6.932 27 C -0.029 4.029 28 C -0.163 4.163 29 O -0.352 6.352 30 Si 0.584 3.416 31 H 0.098 0.902 32 H 0.126 0.874 33 H 0.119 0.881 34 H 0.241 0.759 35 H 0.109 0.891 36 H 0.115 0.885 37 H 0.244 0.756 38 H 0.100 0.900 39 H 0.100 0.900 40 H 0.143 0.857 41 H 0.145 0.855 42 H 0.144 0.856 43 H 0.145 0.855 44 H 0.143 0.857 45 H 0.111 0.889 46 H 0.102 0.898 47 H 0.176 0.824 48 H 0.115 0.885 49 H 0.239 0.761 50 H -0.174 1.174 51 H -0.169 1.169 Dipole moment (debyes) X Y Z Total from point charges 1.614 -2.331 0.973 2.997 hybrid contribution 1.027 0.332 -0.500 1.190 sum 2.641 -1.999 0.473 3.346 Atomic orbital electron populations 1.22621 0.74787 1.06537 1.04380 1.43787 1.07348 1.03910 1.50829 1.20051 0.89795 0.87880 1.17169 1.16842 0.85695 0.83187 0.76103 1.90839 1.15967 1.84600 1.50056 1.45521 1.11273 1.05216 1.73630 1.22278 0.99199 0.78350 0.97643 0.85783 1.23818 0.99476 0.95165 1.00670 1.22309 0.90599 0.90860 0.92334 0.85619 1.44595 1.16193 1.16631 1.58165 1.18180 0.82649 0.81603 0.77443 1.91030 1.22255 1.69509 1.62955 1.86310 1.41311 1.33037 1.67286 1.21750 0.94981 0.79857 0.97769 1.19496 0.97129 0.99497 0.94129 1.21122 0.93808 0.96390 0.99833 1.21213 0.97746 1.00181 0.94993 1.21309 0.99079 0.97566 0.94536 1.21210 0.94813 0.97791 1.00315 1.21121 0.97601 0.98489 0.93933 1.24060 1.03382 0.95416 0.97767 1.21209 0.95168 0.92939 1.04426 1.20767 0.91065 0.94473 1.18207 1.96673 1.35444 1.62898 1.98161 1.19563 0.89016 0.87943 1.06366 1.24349 0.99659 0.91546 1.00728 1.86452 1.66165 1.36356 1.46219 0.95624 0.80836 0.90064 0.75114 0.90208 0.87436 0.88073 0.75912 0.89077 0.88489 0.75631 0.90021 0.90016 0.85694 0.85540 0.85641 0.85542 0.85706 0.88852 0.89771 0.82437 0.88545 0.76143 1.17387 1.16888 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 0.06 0.10 8.60 59.85 0.51 0.62 16 2 N -0.39 -1.11 3.12 -115.59 -0.36 -1.47 16 3 C -0.03 -0.08 6.88 -81.98 -0.56 -0.64 16 4 C 0.59 1.33 7.77 -12.86 -0.10 1.23 16 5 O -0.54 -2.78 14.41 5.19 0.07 -2.70 16 6 N -0.71 0.86 5.33 -54.33 -0.29 0.57 16 7 C 0.13 -0.21 4.21 -67.12 -0.28 -0.49 16 8 H 0.12 -0.03 7.53 -51.93 -0.39 -0.42 16 9 C -0.15 0.54 7.58 -25.92 -0.20 0.35 16 10 C 0.14 -0.20 4.24 -67.12 -0.28 -0.48 16 11 H 0.13 0.01 7.46 -51.93 -0.39 -0.38 16 12 N -0.70 0.47 5.36 -57.94 -0.31 0.16 16 13 C 0.65 1.77 8.75 54.05 0.47 2.25 16 14 O -0.57 -3.37 15.73 -19.28 -0.30 -3.68 16 15 O -0.37 -0.82 10.25 -40.32 -0.41 -1.24 16 16 C 0.13 0.18 5.60 36.00 0.20 0.38 16 17 C -0.10 -0.12 5.52 -104.63 -0.58 -0.70 16 18 C -0.09 -0.06 9.70 -39.58 -0.38 -0.45 16 19 C -0.12 -0.02 10.05 -39.58 -0.40 -0.42 16 20 C -0.11 0.00 10.05 -39.59 -0.40 -0.40 16 21 C -0.12 -0.02 10.05 -39.59 -0.40 -0.42 16 22 C -0.09 -0.07 9.70 -39.59 -0.38 -0.45 16 23 C -0.17 0.21 7.68 -25.92 -0.20 0.01 16 24 C -0.11 -0.11 10.33 -39.10 -0.40 -0.52 16 25 C -0.16 -0.35 6.53 -39.94 -0.26 -0.61 16 26 Br -0.02 -0.02 33.05 -68.01 -2.25 -2.27 16 27 C 0.09 0.22 5.16 -81.91 -0.42 -0.21 16 28 C -0.05 0.02 2.78 36.00 0.10 0.12 16 29 O -0.54 0.59 11.40 -35.23 -0.40 0.19 16 30 Si 0.69 -0.96 31.38 -169.99 -5.33 -6.29 16 31 H 0.08 0.14 7.26 -51.93 -0.38 -0.24 16 32 H 0.11 0.28 6.52 -51.93 -0.34 -0.06 16 33 H 0.10 0.07 6.07 -51.93 -0.32 -0.25 16 34 H 0.41 -1.50 7.67 -40.82 -0.31 -1.81 16 35 H 0.09 -0.34 8.14 -51.93 -0.42 -0.76 16 36 H 0.10 -0.50 8.10 -51.93 -0.42 -0.92 16 37 H 0.41 -1.20 8.84 -40.82 -0.36 -1.56 16 38 H 0.08 0.10 8.08 -51.93 -0.42 -0.32 16 39 H 0.08 0.09 8.08 -51.93 -0.42 -0.33 16 40 H 0.13 -0.09 8.06 -52.49 -0.42 -0.51 16 41 H 0.13 -0.21 8.06 -52.49 -0.42 -0.63 16 42 H 0.13 -0.23 8.06 -52.49 -0.42 -0.65 16 43 H 0.13 -0.20 8.06 -52.48 -0.42 -0.62 16 44 H 0.12 -0.07 8.06 -52.48 -0.42 -0.49 16 45 H 0.09 -0.16 8.14 -51.93 -0.42 -0.58 16 46 H 0.08 0.02 8.14 -51.93 -0.42 -0.40 16 47 H 0.16 -0.32 7.49 -52.48 -0.39 -0.71 16 48 H 0.10 -0.13 6.95 -51.93 -0.36 -0.49 16 49 H 0.39 -2.41 8.74 45.56 0.40 -2.02 16 50 H -0.25 -0.48 7.11 56.52 0.40 -0.08 16 51 H -0.24 -0.16 5.76 56.52 0.33 0.17 16 LS Contribution 447.55 15.07 6.74 6.74 Total: 0.00 -11.33 447.55 -13.56 -24.89 By element: Atomic # 1 Polarization: -7.32 SS G_CDS: -6.75 Total: -14.07 kcal Atomic # 6 Polarization: 3.12 SS G_CDS: -3.96 Total: -0.84 kcal Atomic # 7 Polarization: 0.22 SS G_CDS: -0.96 Total: -0.74 kcal Atomic # 8 Polarization: -6.38 SS G_CDS: -1.04 Total: -7.43 kcal Atomic # 14 Polarization: -0.96 SS G_CDS: -5.33 Total: -6.29 kcal Atomic # 35 Polarization: -0.02 SS G_CDS: -2.25 Total: -2.27 kcal Total LS contribution 6.74 Total: 6.74 kcal Total: -11.33 -13.56 -24.89 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. s_22_12109458_5000100.mol2 51 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 -5.249 kcal (2) G-P(sol) polarization free energy of solvation -11.335 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -16.584 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -13.560 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -24.894 kcal (6) G-S(sol) free energy of system = (1) + (5) -30.144 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.31 seconds