Wall clock time and date at job start Wed Apr 1 2020 02:05:36 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 1.52997 * 1 3 3 C 1.53008 * 109.47118 * 2 1 4 4 F 1.39891 * 109.47211 * 120.00000 * 2 1 3 5 5 C 1.50702 * 109.47009 * 240.00334 * 2 1 3 6 6 O 1.21281 * 120.00120 * 4.62234 * 5 2 1 7 7 N 1.34781 * 119.99585 * 184.62453 * 5 2 1 8 8 C 1.46926 * 120.63383 * 4.81915 * 7 5 2 9 9 C 1.53619 * 108.54247 * 126.36688 * 8 7 5 10 10 C 1.53037 * 109.24018 * 54.85744 * 9 8 7 11 11 C 1.53002 * 109.45789 * 178.48748 * 10 9 8 12 12 H 1.09007 * 109.48195 * 60.09107 * 11 10 9 13 13 O 1.42902 * 109.48026 * 180.12404 * 11 10 9 14 14 C 1.42907 * 114.09651 * 181.14315 * 13 11 10 15 15 C 1.53093 * 109.41425 * 298.84171 * 14 13 11 16 16 C 1.53178 * 109.16363 * 57.60932 * 15 14 13 17 17 C 1.53089 * 109.48217 * 300.06683 * 11 10 9 18 18 H 1.09001 * 109.52384 * 62.44018 * 17 11 10 19 19 N 1.46496 * 109.52275 * 302.31393 * 17 11 10 20 20 C 1.36942 * 119.99961 * 155.00135 * 19 17 11 21 21 H 1.07996 * 120.00314 * 359.97438 * 20 19 17 22 22 C 1.38818 * 120.00131 * 180.02562 * 20 19 17 23 23 N 1.31623 * 119.99605 * 359.97438 * 22 20 19 24 24 Si 1.86791 * 119.99999 * 179.97438 * 22 20 19 25 25 H 1.48499 * 109.47233 * 60.00271 * 24 22 20 26 26 H 1.48505 * 109.46920 * 179.97438 * 24 22 20 27 27 H 1.48494 * 109.47282 * 299.99662 * 24 22 20 28 28 C 1.53041 * 109.53834 * 298.50517 * 10 9 8 29 29 C 1.46927 * 120.62624 * 185.09475 * 7 5 2 30 30 H 1.08997 * 109.47266 * 302.88259 * 1 2 3 31 31 H 1.09001 * 109.47252 * 182.88030 * 1 2 3 32 32 H 1.09004 * 109.47043 * 62.88187 * 1 2 3 33 33 H 1.09003 * 109.46795 * 60.00304 * 3 2 1 34 34 H 1.08998 * 109.46844 * 180.02562 * 3 2 1 35 35 H 1.08998 * 109.46928 * 300.00462 * 3 2 1 36 36 H 1.09001 * 109.58461 * 246.20222 * 8 7 5 37 37 H 1.09000 * 109.58207 * 6.62422 * 8 7 5 38 38 H 1.08992 * 109.63488 * 294.86142 * 9 8 7 39 39 H 1.09005 * 109.45649 * 174.73724 * 9 8 7 40 40 H 1.09000 * 109.45315 * 58.52620 * 10 9 8 41 41 H 1.09007 * 109.48033 * 178.86265 * 14 13 11 42 42 H 1.08992 * 109.49342 * 58.83028 * 14 13 11 43 43 H 1.09004 * 109.52003 * 297.70470 * 15 14 13 44 44 H 1.08996 * 109.57264 * 177.54985 * 15 14 13 45 45 H 1.09001 * 109.54179 * 183.15174 * 16 15 14 46 46 H 1.09001 * 109.54017 * 62.88879 * 16 15 14 47 47 H 0.96998 * 120.00244 * 334.99857 * 19 17 11 48 48 H 0.96998 * 119.99733 * 180.02562 * 23 22 20 49 49 H 1.08998 * 109.49904 * 301.41334 * 28 10 9 50 50 H 1.09004 * 109.51917 * 181.33185 * 28 10 9 51 51 H 1.08998 * 109.58887 * 353.38001 * 29 7 5 52 52 H 1.09007 * 109.58260 * 113.65650 * 29 7 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 6 2.0400 1.4426 0.0000 4 9 1.9963 -0.6595 1.1422 5 6 2.0323 -0.7104 -1.2305 6 8 1.2474 -1.0973 -2.0702 7 7 3.3538 -0.9156 -1.3978 8 6 4.3080 -0.5478 -0.3428 9 6 5.1706 -1.7758 -0.0145 10 6 5.8227 -2.2921 -1.2992 11 6 6.7130 -3.4926 -0.9719 12 1 6.1079 -4.2842 -0.5297 13 8 7.3244 -3.9733 -2.1708 14 6 8.1616 -5.1159 -1.9812 15 6 9.3068 -4.7556 -1.0313 16 6 8.7228 -4.2582 0.2946 17 6 7.8001 -3.0672 0.0185 18 1 7.3369 -2.7406 0.9496 19 7 8.5794 -1.9663 -0.5531 20 6 9.2345 -1.0908 0.2714 21 1 9.1763 -1.2118 1.3430 22 6 9.9726 -0.0473 -0.2702 23 7 10.0431 0.1004 -1.5762 24 14 10.8656 1.1472 0.8544 25 1 11.8487 0.4052 1.6840 26 1 11.5759 2.1617 0.0350 27 1 9.8828 1.8239 1.7382 28 6 4.7362 -2.7180 -2.2892 29 6 3.8682 -1.5058 -2.6411 30 1 -0.3633 0.5579 0.8630 31 1 -0.3634 -1.0264 0.0516 32 1 -0.3633 0.4685 -0.9147 33 1 1.6767 1.9563 0.8900 34 1 3.1300 1.4425 -0.0005 35 1 1.6766 1.9564 -0.8899 36 1 4.9436 0.2658 -0.6925 37 1 3.7644 -0.2326 0.5478 38 1 4.5454 -2.5580 0.4159 39 1 5.9452 -1.4952 0.6992 40 1 6.4280 -1.5013 -1.7422 41 1 8.5709 -5.4300 -2.9414 42 1 7.5757 -5.9288 -1.5523 43 1 9.9171 -3.9706 -1.4778 44 1 9.9222 -5.6369 -0.8505 45 1 9.5319 -3.9472 0.9555 46 1 8.1532 -5.0594 0.7655 47 1 8.6315 -1.8574 -1.5156 48 1 10.5592 0.8293 -1.9547 49 1 4.1151 -3.4914 -1.8374 50 1 5.2012 -3.1077 -3.1949 51 1 3.0343 -1.8229 -3.2674 52 1 4.4666 -0.7680 -3.1756 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 ZINC001075402669.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 02:05:36 Heat of formation + Delta-G solvation = -124.988887 kcal Electronic energy + Delta-G solvation = -32868.460308 eV Core-core repulsion = 28589.306341 eV Total energy + Delta-G solvation = -4279.153967 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 342.211 amu Computer time = 0.92 seconds Orbital eigenvalues (eV) -48.21124 -40.27274 -39.26300 -37.23003 -34.63235 -34.05341 -33.37535 -32.32119 -30.98593 -30.45427 -28.35145 -27.71178 -26.05855 -24.44932 -23.68220 -23.15615 -22.57602 -21.73681 -20.18157 -19.10268 -18.84863 -17.61528 -17.27878 -16.54695 -16.12272 -15.75662 -15.51105 -15.33108 -14.77085 -14.64088 -14.54637 -14.18332 -14.09775 -13.57734 -13.49801 -13.36279 -13.27351 -13.01406 -12.71966 -12.68360 -12.63810 -12.35920 -12.34109 -12.10196 -12.06547 -11.88444 -11.69844 -11.27790 -11.07724 -10.92593 -10.89325 -10.81076 -10.58102 -10.39743 -10.19114 -10.17612 -10.11589 -9.88036 -9.68025 -9.48621 -8.93095 -8.76482 -8.60153 -6.92008 -5.75532 -3.03387 2.34134 2.83032 3.41422 3.46946 3.47756 3.98937 4.16016 4.19724 4.37550 4.53902 4.59385 4.94906 4.97464 5.16571 5.21720 5.23825 5.31682 5.37913 5.41037 5.45550 5.47938 5.49085 5.51486 5.59378 5.65064 5.69096 5.71326 5.75296 5.81218 5.83686 5.88509 5.92182 6.01460 6.07459 6.11126 6.15208 6.17533 6.28239 6.36640 6.42964 6.55271 6.64961 6.71626 6.82651 6.91547 7.02128 7.30408 7.67628 7.76815 7.94337 8.42733 9.54861 10.13731 10.50946 11.46311 Molecular weight = 342.21amu Principal moments of inertia in cm(-1) A = 0.010690 B = 0.003899 C = 0.003181 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2618.595156 B = 7179.613386 C = 8799.340659 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.156 4.156 2 C 0.103 3.897 3 C -0.180 4.180 4 F -0.191 7.191 5 C 0.500 3.500 6 O -0.535 6.535 7 N -0.594 5.594 8 C 0.091 3.909 9 C -0.121 4.121 10 C -0.072 4.072 11 C 0.094 3.906 12 H 0.046 0.954 13 O -0.373 6.373 14 C 0.068 3.932 15 C -0.147 4.147 16 C -0.140 4.140 17 C 0.148 3.852 18 H 0.055 0.945 19 N -0.710 5.710 20 C -0.237 4.237 21 H 0.067 0.933 22 C -0.010 4.010 23 N -0.929 5.929 24 Si 0.901 3.099 25 H -0.288 1.288 26 H -0.292 1.292 27 H -0.287 1.287 28 C -0.124 4.124 29 C 0.109 3.891 30 H 0.073 0.927 31 H 0.073 0.927 32 H 0.083 0.917 33 H 0.081 0.919 34 H 0.082 0.918 35 H 0.081 0.919 36 H 0.078 0.922 37 H 0.099 0.901 38 H 0.060 0.940 39 H 0.092 0.908 40 H 0.097 0.903 41 H 0.084 0.916 42 H 0.037 0.963 43 H 0.083 0.917 44 H 0.054 0.946 45 H 0.064 0.936 46 H 0.041 0.959 47 H 0.389 0.611 48 H 0.254 0.746 49 H 0.058 0.942 50 H 0.083 0.917 51 H 0.088 0.912 52 H 0.073 0.927 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -14.879 -3.526 2.142 15.440 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 -0.214 4.214 2 C 0.081 3.919 3 C -0.238 4.238 4 F -0.171 7.171 5 C 0.286 3.714 6 O -0.412 6.412 7 N -0.326 5.326 8 C -0.031 4.031 9 C -0.159 4.159 10 C -0.091 4.091 11 C 0.036 3.964 12 H 0.064 0.936 13 O -0.292 6.292 14 C -0.009 4.009 15 C -0.185 4.185 16 C -0.180 4.180 17 C 0.037 3.963 18 H 0.073 0.927 19 N -0.352 5.352 20 C -0.368 4.368 21 H 0.085 0.915 22 C -0.206 4.206 23 N -0.577 5.577 24 Si 0.732 3.268 25 H -0.215 1.215 26 H -0.218 1.218 27 H -0.214 1.214 28 C -0.162 4.162 29 C -0.012 4.012 30 H 0.092 0.908 31 H 0.092 0.908 32 H 0.102 0.898 33 H 0.100 0.900 34 H 0.101 0.899 35 H 0.100 0.900 36 H 0.096 0.904 37 H 0.117 0.883 38 H 0.078 0.922 39 H 0.110 0.890 40 H 0.115 0.885 41 H 0.102 0.898 42 H 0.055 0.945 43 H 0.101 0.899 44 H 0.072 0.928 45 H 0.083 0.917 46 H 0.059 0.941 47 H 0.224 0.776 48 H 0.064 0.936 49 H 0.077 0.923 50 H 0.102 0.898 51 H 0.107 0.893 52 H 0.091 0.909 Dipole moment (debyes) X Y Z Total from point charges -15.226 -3.542 1.656 15.720 hybrid contribution 1.017 0.425 0.759 1.338 sum -14.209 -3.117 2.415 14.746 Atomic orbital electron populations 1.22150 0.90976 1.04356 1.03883 1.21178 0.96718 0.93132 0.80843 1.22560 1.03719 0.92903 1.04610 1.92852 1.89636 1.82747 1.51895 1.20766 0.82613 0.79900 0.88157 1.90689 1.54899 1.50665 1.44940 1.48189 1.05667 1.60480 1.18290 1.22346 0.91690 0.98293 0.90803 1.21945 0.98938 0.96839 0.98215 1.21011 0.94812 0.97840 0.95426 1.22354 0.93203 0.94628 0.86212 0.93632 1.87873 1.63426 1.46698 1.31225 1.22449 0.91376 0.87551 0.99531 1.22028 0.98323 1.01164 0.97011 1.22249 1.00624 0.98430 0.96744 1.20844 0.91165 0.89036 0.95270 0.92699 1.42286 1.57708 1.28697 1.06518 1.19158 1.23125 1.04719 0.89834 0.91544 1.24672 1.01110 0.99263 0.95545 1.69661 1.45513 1.33419 1.09115 0.86369 0.79688 0.81066 0.79634 1.21498 1.21837 1.21389 1.21905 0.96730 0.96719 1.00814 1.21728 0.98324 0.95725 0.85452 0.90763 0.90839 0.89835 0.89978 0.89945 0.90035 0.90376 0.88300 0.92160 0.88981 0.88467 0.89831 0.94495 0.89867 0.92768 0.91686 0.94065 0.77565 0.93581 0.92333 0.89840 0.89326 0.90891 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -0.16 -1.47 8.28 37.16 0.31 -1.16 16 2 C 0.10 1.14 1.20 -91.77 -0.11 1.03 16 3 C -0.18 -1.60 8.59 37.16 0.32 -1.28 16 4 F -0.19 -2.33 14.50 2.25 0.03 -2.29 16 5 C 0.50 6.91 6.79 -10.98 -0.07 6.84 16 6 O -0.53 -8.70 15.35 5.56 0.09 -8.62 16 7 N -0.59 -8.04 2.97 -172.50 -0.51 -8.56 16 8 C 0.09 1.19 4.75 -3.49 -0.02 1.17 16 9 C -0.12 -1.74 5.06 -26.39 -0.13 -1.87 16 10 C -0.07 -1.13 1.77 -90.58 -0.16 -1.29 16 11 C 0.09 1.55 1.91 -26.68 -0.05 1.50 16 12 H 0.05 0.70 8.14 -51.93 -0.42 0.28 16 13 O -0.37 -6.50 9.32 -35.23 -0.33 -6.83 16 14 C 0.07 1.03 6.84 37.21 0.25 1.28 16 15 C -0.15 -2.46 5.97 -26.59 -0.16 -2.62 16 16 C -0.14 -2.44 5.70 -26.55 -0.15 -2.59 16 17 C 0.15 2.75 2.18 -67.79 -0.15 2.60 16 18 H 0.06 1.02 6.47 -51.93 -0.34 0.69 16 19 N -0.71 -16.35 3.77 -53.29 -0.20 -16.55 16 20 C -0.24 -6.12 9.93 -15.05 -0.15 -6.27 16 21 H 0.07 1.68 7.83 -52.49 -0.41 1.27 16 22 C -0.01 -0.26 5.50 -17.43 -0.10 -0.36 16 23 N -0.93 -26.87 13.06 55.49 0.72 -26.15 16 24 Si 0.90 21.60 29.55 -169.99 -5.02 16.57 16 25 H -0.29 -6.89 7.11 56.52 0.40 -6.49 16 26 H -0.29 -7.15 7.11 56.52 0.40 -6.75 16 27 H -0.29 -6.75 7.11 56.52 0.40 -6.35 16 28 C -0.12 -1.73 5.23 -26.61 -0.14 -1.87 16 29 C 0.11 1.49 6.44 -3.71 -0.02 1.47 16 30 H 0.07 0.54 8.14 -51.93 -0.42 0.12 16 31 H 0.07 0.75 8.14 -51.93 -0.42 0.32 16 32 H 0.08 0.77 7.96 -51.93 -0.41 0.35 16 33 H 0.08 0.59 8.14 -51.93 -0.42 0.17 16 34 H 0.08 0.77 5.72 -51.93 -0.30 0.48 16 35 H 0.08 0.66 8.14 -51.93 -0.42 0.24 16 36 H 0.08 1.07 8.12 -51.93 -0.42 0.65 16 37 H 0.10 1.19 3.96 -51.93 -0.21 0.98 16 38 H 0.06 0.83 8.14 -51.93 -0.42 0.40 16 39 H 0.09 1.45 6.41 -51.93 -0.33 1.12 16 40 H 0.10 1.84 7.30 -51.93 -0.38 1.46 16 41 H 0.08 1.15 8.14 -51.92 -0.42 0.72 16 42 H 0.04 0.50 8.14 -51.93 -0.42 0.08 16 43 H 0.08 1.67 7.76 -51.93 -0.40 1.27 16 44 H 0.05 0.79 8.14 -51.93 -0.42 0.36 16 45 H 0.06 1.24 8.14 -51.93 -0.42 0.82 16 46 H 0.04 0.62 8.14 -51.93 -0.42 0.20 16 47 H 0.39 9.92 7.13 -40.82 -0.29 9.63 16 48 H 0.25 7.24 8.31 -40.82 -0.34 6.90 16 49 H 0.06 0.82 8.14 -51.93 -0.42 0.40 16 50 H 0.08 1.19 7.65 -51.93 -0.40 0.79 16 51 H 0.09 1.23 7.00 -51.93 -0.36 0.87 16 52 H 0.07 0.98 8.14 -51.92 -0.42 0.56 16 LS Contribution 393.46 15.07 5.93 5.93 Total: -1.00 -29.67 393.46 -8.71 -38.37 By element: Atomic # 1 Polarization: 20.43 SS G_CDS: -8.88 Total: 11.54 kcal Atomic # 6 Polarization: -2.90 SS G_CDS: -0.53 Total: -3.43 kcal Atomic # 7 Polarization: -51.27 SS G_CDS: 0.01 Total: -51.26 kcal Atomic # 8 Polarization: -15.20 SS G_CDS: -0.24 Total: -15.44 kcal Atomic # 9 Polarization: -2.33 SS G_CDS: 0.03 Total: -2.29 kcal Atomic # 14 Polarization: 21.60 SS G_CDS: -5.02 Total: 16.57 kcal Total LS contribution 5.93 Total: 5.93 kcal Total: -29.67 -8.71 -38.37 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. ZINC001075402669.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 -86.615 kcal (2) G-P(sol) polarization free energy of solvation -29.667 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -116.282 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.707 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.374 kcal (6) G-S(sol) free energy of system = (1) + (5) -124.989 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.92 seconds