Wall clock time and date at job start Wed Apr 1 2020 02:02:23 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 1.53004 * 1 3 3 C 1.52999 * 109.46841 * 2 1 4 4 C 1.52994 * 109.47320 * 120.00072 * 2 1 3 5 5 H 1.09000 * 109.47109 * 306.20664 * 4 2 1 6 6 F 1.39902 * 109.47268 * 186.20368 * 4 2 1 7 7 C 1.50706 * 109.46842 * 66.20260 * 4 2 1 8 8 O 1.21280 * 120.00034 * 44.21806 * 7 4 2 9 9 N 1.34775 * 119.99894 * 224.20745 * 7 4 2 10 10 C 1.46503 * 119.99880 * 179.97438 * 9 7 4 11 11 H 1.08999 * 109.49262 * 35.00730 * 10 9 7 12 12 C 1.53186 * 109.49876 * 274.94329 * 10 9 7 13 13 N 1.46934 * 108.78761 * 185.33311 * 12 10 9 14 14 C 1.36935 * 120.64259 * 233.69006 * 13 12 10 15 15 H 1.07997 * 120.00472 * 149.85789 * 14 13 12 16 16 C 1.38821 * 119.99942 * 329.85386 * 14 13 12 17 17 N 1.31622 * 119.99742 * 344.20160 * 16 14 13 18 18 Si 1.86795 * 119.99971 * 164.19396 * 16 14 13 19 19 H 1.48500 * 109.47030 * 90.00403 * 18 16 14 20 20 H 1.48501 * 109.47421 * 210.00057 * 18 16 14 21 21 H 1.48501 * 109.47259 * 330.00419 * 18 16 14 22 22 C 1.46940 * 118.71644 * 53.67111 * 13 12 10 23 23 C 1.53101 * 108.78209 * 306.49613 * 22 13 12 24 24 C 1.53084 * 109.47731 * 294.29650 * 23 22 13 25 25 C 1.53119 * 109.16130 * 297.02321 * 24 23 22 26 26 O 1.42897 * 109.40159 * 302.51403 * 25 24 23 27 27 C 1.42903 * 114.13901 * 61.17760 * 26 25 24 28 28 C 1.53086 * 109.46807 * 174.62737 * 23 22 13 29 29 C 1.52926 * 109.50140 * 54.46222 * 23 22 13 30 30 H 1.08997 * 109.47002 * 299.99647 * 1 2 3 31 31 H 1.09000 * 109.47623 * 59.99659 * 1 2 3 32 32 H 1.08997 * 109.47045 * 180.02562 * 1 2 3 33 33 H 1.09003 * 109.46579 * 240.00402 * 2 1 3 34 34 H 1.08997 * 109.46973 * 184.86061 * 3 2 1 35 35 H 1.08999 * 109.47083 * 304.85698 * 3 2 1 36 36 H 1.09000 * 109.47208 * 64.86074 * 3 2 1 37 37 H 0.97001 * 120.00073 * 0.02562 * 9 7 4 38 38 H 1.08996 * 109.58313 * 305.12229 * 12 10 9 39 39 H 1.08997 * 109.58438 * 65.54363 * 12 10 9 40 40 H 0.97001 * 119.99329 * 179.97438 * 17 16 14 41 41 H 1.09000 * 109.58321 * 66.28269 * 22 13 12 42 42 H 1.08997 * 109.58451 * 186.70769 * 22 13 12 43 43 H 1.09003 * 109.51926 * 56.92576 * 24 23 22 44 44 H 1.09001 * 109.52620 * 177.11554 * 24 23 22 45 45 H 1.09001 * 109.48257 * 182.53532 * 25 24 23 46 46 H 1.08996 * 109.47921 * 62.49416 * 25 24 23 47 47 H 1.08999 * 109.48876 * 178.83228 * 27 26 25 48 48 H 1.09001 * 109.48152 * 58.79142 * 27 26 25 49 49 H 1.08999 * 109.52389 * 182.87542 * 28 23 22 50 50 H 1.08993 * 109.52580 * 303.01101 * 28 23 22 51 51 H 1.08993 * 109.45816 * 178.81044 * 29 23 22 52 52 H 1.09001 * 109.45930 * 58.86351 * 29 23 22 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 2.0401 -0.7212 1.2492 5 1 1.5889 -0.2756 2.1357 6 9 3.4318 -0.5991 1.3227 7 6 1.6670 -2.1795 1.1747 8 8 1.8167 -2.7916 0.1385 9 7 1.1672 -2.8034 2.2598 10 6 0.8039 -4.2208 2.1873 11 1 1.4995 -4.7413 1.5289 12 6 -0.6194 -4.3565 1.6374 13 7 -1.0147 -5.7706 1.6911 14 6 -1.4736 -6.4101 0.5706 15 1 -1.3077 -7.4701 0.4476 16 6 -2.1521 -5.6958 -0.4074 17 7 -2.6276 -4.4986 -0.1372 18 14 -2.3900 -6.4335 -2.1069 19 1 -3.6598 -7.2028 -2.1392 20 1 -2.4449 -5.3452 -3.1158 21 1 -1.2546 -7.3391 -2.4169 22 6 -0.9077 -6.4855 2.9704 23 6 0.5168 -6.3237 3.5078 24 6 1.4989 -7.0333 2.5722 25 6 1.1878 -8.5325 2.5603 26 8 1.2639 -9.0436 3.8926 27 6 0.3331 -8.4504 4.8002 28 6 0.6098 -6.9479 4.9026 29 6 0.8669 -4.8372 3.5869 30 1 -0.3633 0.5138 0.8900 31 1 -0.3634 0.5139 -0.8899 32 1 -0.3633 -1.0276 0.0005 33 1 1.8933 -0.5138 -0.8901 34 1 3.1264 1.4438 -0.0871 35 1 1.6073 1.9808 -0.8433 36 1 1.7495 1.9306 0.9303 37 1 1.0472 -2.3138 3.0885 38 1 -1.3034 -3.7626 2.2436 39 1 -0.6468 -4.0084 0.6048 40 1 -3.1014 -3.9993 -0.8207 41 1 -1.6171 -6.0660 3.6837 42 1 -1.1225 -7.5430 2.8171 43 1 1.3961 -6.6319 1.5640 44 1 2.5178 -6.8755 2.9260 45 1 1.9124 -9.0491 1.9308 46 1 0.1843 -8.6923 2.1663 47 1 0.4419 -8.9079 5.7834 48 1 -0.6818 -8.6091 4.4355 49 1 1.6093 -6.7884 5.3071 50 1 -0.1270 -6.4848 5.5588 51 1 1.8732 -4.7221 3.9894 52 1 0.1552 -4.3307 4.2389 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) 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. 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 ZINC001099588771.mol2 52 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 02:02:23 Heat of formation + Delta-G solvation = -126.805127 kcal Electronic energy + Delta-G solvation = -32970.411106 eV Core-core repulsion = 28691.178381 eV Total energy + Delta-G solvation = -4279.232725 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 342.211 amu Computer time = 1.09 seconds Orbital eigenvalues (eV) -47.85231 -40.20311 -39.19840 -36.98612 -35.43215 -34.26527 -33.79235 -31.11133 -30.62439 -30.06968 -27.62464 -27.04106 -26.63973 -25.45256 -23.47014 -23.12554 -21.97905 -21.28217 -20.10774 -20.02298 -18.09121 -17.50760 -16.77550 -16.51524 -16.03694 -15.71178 -15.65033 -15.04690 -14.93583 -14.55452 -14.51496 -14.33341 -14.06987 -13.88432 -13.64002 -13.41614 -13.01524 -12.85249 -12.66835 -12.41962 -12.38271 -12.26342 -12.13333 -12.08428 -11.82461 -11.23773 -11.13049 -11.11520 -11.06075 -10.94248 -10.80430 -10.73692 -10.64152 -10.48296 -10.31900 -10.17221 -10.09597 -9.75530 -9.47155 -9.42051 -8.97193 -8.67291 -8.48803 -6.69687 -5.83262 -3.28685 2.74801 3.21974 3.37364 3.44950 3.47059 4.18156 4.34435 4.45933 4.54964 4.67807 4.81386 4.93767 5.08330 5.11937 5.13902 5.34980 5.38154 5.39316 5.47699 5.52329 5.55827 5.59969 5.61831 5.66571 5.77339 5.78080 5.85444 5.87463 5.90418 6.00835 6.02938 6.08359 6.14885 6.19558 6.22934 6.26726 6.34538 6.37706 6.48317 6.63885 6.70194 6.73276 6.82010 6.83606 7.18016 7.51296 7.61536 7.71770 7.78119 8.39460 8.43905 9.15358 9.78435 10.34332 11.24713 Molecular weight = 342.21amu Principal moments of inertia in cm(-1) A = 0.009315 B = 0.004575 C = 0.003376 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3005.034201 B = 6118.148898 C = 8291.982390 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.150 4.150 2 C -0.113 4.113 3 C -0.146 4.146 4 C 0.086 3.914 5 H 0.095 0.905 6 F -0.194 7.194 7 C 0.491 3.509 8 O -0.513 6.513 9 N -0.713 5.713 10 C 0.112 3.888 11 H 0.087 0.913 12 C 0.169 3.831 13 N -0.582 5.582 14 C -0.258 4.258 15 H 0.064 0.936 16 C 0.011 3.989 17 N -0.897 5.897 18 Si 0.900 3.100 19 H -0.287 1.287 20 H -0.289 1.289 21 H -0.278 1.278 22 C 0.152 3.848 23 C -0.072 4.072 24 C -0.136 4.136 25 C 0.061 3.939 26 O -0.391 6.391 27 C 0.061 3.939 28 C -0.140 4.140 29 C -0.104 4.104 30 H 0.056 0.944 31 H 0.064 0.936 32 H 0.069 0.931 33 H 0.094 0.906 34 H 0.060 0.940 35 H 0.063 0.937 36 H 0.056 0.944 37 H 0.394 0.606 38 H 0.018 0.982 39 H 0.092 0.908 40 H 0.254 0.746 41 H 0.019 0.981 42 H 0.058 0.942 43 H 0.090 0.910 44 H 0.055 0.945 45 H 0.086 0.914 46 H 0.060 0.940 47 H 0.085 0.915 48 H 0.053 0.947 49 H 0.064 0.936 50 H 0.069 0.931 51 H 0.053 0.947 52 H 0.061 0.939 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 7.162 6.169 8.937 13.009 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 -0.207 4.207 2 C -0.132 4.132 3 C -0.203 4.203 4 C 0.046 3.954 5 H 0.113 0.887 6 F -0.175 7.175 7 C 0.274 3.726 8 O -0.387 6.387 9 N -0.363 5.363 10 C 0.008 3.992 11 H 0.105 0.895 12 C 0.042 3.958 13 N -0.303 5.303 14 C -0.387 4.387 15 H 0.082 0.918 16 C -0.188 4.188 17 N -0.540 5.540 18 Si 0.729 3.271 19 H -0.214 1.214 20 H -0.215 1.215 21 H -0.203 1.203 22 C 0.025 3.975 23 C -0.074 4.074 24 C -0.174 4.174 25 C -0.016 4.016 26 O -0.310 6.310 27 C -0.015 4.015 28 C -0.178 4.178 29 C -0.142 4.142 30 H 0.075 0.925 31 H 0.084 0.916 32 H 0.088 0.912 33 H 0.113 0.887 34 H 0.079 0.921 35 H 0.082 0.918 36 H 0.075 0.925 37 H 0.227 0.773 38 H 0.036 0.964 39 H 0.110 0.890 40 H 0.064 0.936 41 H 0.037 0.963 42 H 0.076 0.924 43 H 0.108 0.892 44 H 0.074 0.926 45 H 0.104 0.896 46 H 0.078 0.922 47 H 0.103 0.897 48 H 0.071 0.929 49 H 0.083 0.917 50 H 0.088 0.912 51 H 0.072 0.928 52 H 0.079 0.921 Dipole moment (debyes) X Y Z Total from point charges 7.316 5.669 8.092 12.294 hybrid contribution -0.363 0.310 -0.451 0.656 sum 6.954 5.978 7.641 11.937 Atomic orbital electron populations 1.21814 0.93088 1.03582 1.02253 1.21588 0.97584 0.96636 0.97427 1.21809 1.01557 0.94744 1.02182 1.21742 0.77325 0.94509 1.01793 0.88711 1.92844 1.30237 1.96735 1.97699 1.20730 0.78562 0.88860 0.84483 1.90765 1.52226 1.66542 1.29181 1.46145 1.64293 1.12777 1.13118 1.22117 1.01537 0.78514 0.97077 0.89511 1.21058 0.87406 0.85529 1.01801 1.43859 1.74055 1.07838 1.04593 1.19052 1.29867 0.93656 0.96125 0.91794 1.25067 0.96966 0.97213 0.99596 1.70001 1.38248 1.12925 1.32801 0.86348 0.77980 0.78301 0.84449 1.21391 1.21521 1.20324 1.21084 0.91060 0.96722 0.88622 1.20996 0.98799 0.93550 0.94086 1.22132 0.97886 0.95538 1.01844 1.22634 1.01865 0.93987 0.83069 1.87841 1.59550 1.63329 1.20265 1.22534 0.92961 0.92670 0.93373 1.22170 1.02011 0.96364 0.97305 1.21682 1.00447 0.95698 0.96387 0.92453 0.91649 0.91185 0.88737 0.92083 0.91833 0.92518 0.77323 0.96405 0.88963 0.93646 0.96345 0.92353 0.89205 0.92621 0.89620 0.92165 0.89691 0.92859 0.91719 0.91222 0.92823 0.92060 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -1.92 9.02 37.16 0.34 -1.58 16 2 C -0.11 -1.44 2.61 -90.62 -0.24 -1.67 16 3 C -0.15 -1.44 8.93 37.16 0.33 -1.11 16 4 C 0.09 1.13 3.35 -27.88 -0.09 1.03 16 5 H 0.10 0.93 8.00 -51.93 -0.42 0.51 16 6 F -0.19 -2.78 16.40 2.25 0.04 -2.74 16 7 C 0.49 8.31 6.19 -10.98 -0.07 8.24 16 8 O -0.51 -11.09 16.03 5.56 0.09 -11.00 16 9 N -0.71 -10.98 5.08 -53.68 -0.27 -11.26 16 10 C 0.11 2.05 2.27 -67.80 -0.15 1.90 16 11 H 0.09 1.83 5.87 -51.93 -0.30 1.52 16 12 C 0.17 3.83 4.86 -3.71 -0.02 3.81 16 13 N -0.58 -13.62 2.39 -172.36 -0.41 -14.03 16 14 C -0.26 -6.78 9.57 -15.06 -0.14 -6.93 16 15 H 0.06 1.66 7.88 -52.49 -0.41 1.24 16 16 C 0.01 0.31 4.93 -17.43 -0.09 0.22 16 17 N -0.90 -25.40 11.28 55.49 0.63 -24.77 16 18 Si 0.90 21.79 29.58 -169.99 -5.03 16.76 16 19 H -0.29 -6.89 7.11 56.52 0.40 -6.48 16 20 H -0.29 -7.13 7.11 56.52 0.40 -6.73 16 21 H -0.28 -6.66 7.11 56.52 0.40 -6.26 16 22 C 0.15 2.93 4.60 -3.75 -0.02 2.91 16 23 C -0.07 -1.14 0.52 -154.41 -0.08 -1.22 16 24 C -0.14 -2.27 4.37 -26.63 -0.12 -2.38 16 25 C 0.06 0.97 6.57 37.22 0.24 1.21 16 26 O -0.39 -6.11 10.76 -35.23 -0.38 -6.49 16 27 C 0.06 0.82 6.57 37.22 0.24 1.07 16 28 C -0.14 -1.86 4.92 -26.63 -0.13 -1.99 16 29 C -0.10 -1.59 4.19 -26.74 -0.11 -1.70 16 30 H 0.06 0.62 8.14 -51.93 -0.42 0.19 16 31 H 0.06 0.77 8.14 -51.93 -0.42 0.35 16 32 H 0.07 1.14 7.42 -51.93 -0.39 0.75 16 33 H 0.09 1.40 7.70 -51.93 -0.40 1.00 16 34 H 0.06 0.61 7.82 -51.93 -0.41 0.21 16 35 H 0.06 0.57 8.14 -51.93 -0.42 0.14 16 36 H 0.06 0.49 8.14 -51.93 -0.42 0.06 16 37 H 0.39 4.63 8.50 -40.82 -0.35 4.28 16 38 H 0.02 0.42 8.14 -51.93 -0.42 0.00 16 39 H 0.09 2.49 6.18 -51.93 -0.32 2.17 16 40 H 0.25 7.03 8.31 -40.82 -0.34 6.69 16 41 H 0.02 0.37 8.14 -51.93 -0.42 -0.06 16 42 H 0.06 1.14 4.84 -51.93 -0.25 0.88 16 43 H 0.09 1.75 6.11 -51.93 -0.32 1.43 16 44 H 0.06 0.88 8.14 -51.93 -0.42 0.45 16 45 H 0.09 1.26 8.14 -51.93 -0.42 0.83 16 46 H 0.06 1.04 6.48 -51.93 -0.34 0.70 16 47 H 0.08 0.94 8.14 -51.93 -0.42 0.52 16 48 H 0.05 0.73 6.74 -51.93 -0.35 0.38 16 49 H 0.06 0.82 8.14 -51.93 -0.42 0.40 16 50 H 0.07 0.84 8.14 -51.93 -0.42 0.42 16 51 H 0.05 0.74 8.14 -51.93 -0.42 0.32 16 52 H 0.06 0.88 8.14 -51.93 -0.42 0.46 16 LS Contribution 394.00 15.07 5.94 5.94 Total: -1.00 -31.00 394.00 -8.38 -39.38 By element: Atomic # 1 Polarization: 15.29 SS G_CDS: -8.88 Total: 6.41 kcal Atomic # 6 Polarization: 1.91 SS G_CDS: -0.10 Total: 1.81 kcal Atomic # 7 Polarization: -50.00 SS G_CDS: -0.06 Total: -50.06 kcal Atomic # 8 Polarization: -17.21 SS G_CDS: -0.29 Total: -17.50 kcal Atomic # 9 Polarization: -2.78 SS G_CDS: 0.04 Total: -2.74 kcal Atomic # 14 Polarization: 21.79 SS G_CDS: -5.03 Total: 16.76 kcal Total LS contribution 5.94 Total: 5.94 kcal Total: -31.00 -8.38 -39.38 kcal The number of atoms in the molecule is 52 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. ZINC001099588771.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 -87.423 kcal (2) G-P(sol) polarization free energy of solvation -31.001 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -118.424 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.381 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.382 kcal (6) G-S(sol) free energy of system = (1) + (5) -126.805 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.09 seconds