Wall clock time and date at job start Sat Apr 11 2020 06:11:40 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 1.52998 * 1 3 3 O 1.42900 * 109.47017 * 2 1 4 4 C 1.42908 * 113.99938 * 184.94043 * 3 2 1 5 5 H 1.09000 * 109.47091 * 33.71515 * 4 3 2 6 6 C 1.50691 * 109.46750 * 153.71713 * 4 3 2 7 7 O 1.21279 * 120.00408 * 13.67416 * 6 4 3 8 8 N 1.34779 * 119.99645 * 193.67606 * 6 4 3 9 9 C 1.46503 * 120.00151 * 184.42855 * 8 6 4 10 10 C 1.53004 * 109.47281 * 185.26509 * 9 8 6 11 11 N 1.46495 * 110.43406 * 56.88988 * 10 9 8 12 12 C 1.36943 * 120.00023 * 63.45086 * 11 10 9 13 13 H 1.07998 * 119.99880 * 355.11307 * 12 11 10 14 14 C 1.38811 * 119.99811 * 175.11381 * 12 11 10 15 15 N 1.31616 * 120.00550 * 5.16355 * 14 12 11 16 16 Si 1.86807 * 119.99723 * 185.16117 * 14 12 11 17 17 H 1.48496 * 109.47073 * 84.99461 * 16 14 12 18 18 H 1.48492 * 109.47048 * 204.99423 * 16 14 12 19 19 H 1.48500 * 109.47150 * 324.99339 * 16 14 12 20 20 C 1.54887 * 110.48523 * 179.43403 * 10 9 8 21 21 C 1.55238 * 102.58658 * 156.67479 * 20 10 9 22 22 C 1.54262 * 104.22957 * 322.08243 * 21 20 10 23 23 C 1.53871 * 106.60068 * 23.61023 * 22 21 20 24 24 C 1.52997 * 109.46981 * 273.71446 * 4 3 2 25 25 H 1.09007 * 110.45902 * 51.43431 * 24 4 3 26 26 C 1.54515 * 110.50891 * 174.03383 * 24 4 3 27 27 C 1.54482 * 104.06071 * 118.64792 * 26 24 4 28 28 O 1.44425 * 104.80625 * 23.97671 * 27 26 24 29 29 C 1.44426 * 105.27360 * 319.49079 * 28 27 26 30 30 H 1.09000 * 109.46979 * 60.00040 * 1 2 3 31 31 H 1.08998 * 109.47367 * 179.97438 * 1 2 3 32 32 H 1.08998 * 109.47204 * 299.99668 * 1 2 3 33 33 H 1.08997 * 109.47267 * 239.99783 * 2 1 3 34 34 H 1.09000 * 109.46979 * 119.99960 * 2 1 3 35 35 H 0.97000 * 120.00162 * 4.42396 * 8 6 4 36 36 H 1.08998 * 109.47598 * 65.25967 * 9 8 6 37 37 H 1.09002 * 109.46751 * 305.26112 * 9 8 6 38 38 H 0.97000 * 120.00425 * 243.72097 * 11 10 9 39 39 H 0.96998 * 120.00259 * 180.02562 * 15 14 12 40 40 H 1.09003 * 110.75712 * 275.06449 * 20 10 9 41 41 H 1.09002 * 110.75861 * 38.43510 * 20 10 9 42 42 H 1.08999 * 110.46671 * 203.39116 * 21 20 10 43 43 H 1.09001 * 110.58459 * 80.82982 * 21 20 10 44 44 H 1.09002 * 110.03125 * 264.32523 * 22 21 20 45 45 H 1.09004 * 110.07387 * 142.92301 * 22 21 20 46 46 H 1.08994 * 110.03462 * 240.71294 * 23 22 21 47 47 H 1.09008 * 110.07229 * 119.30402 * 23 22 21 48 48 H 1.09003 * 110.50841 * 237.29159 * 26 24 4 49 49 H 1.08994 * 110.50890 * 359.86553 * 26 24 4 50 50 H 1.08996 * 110.37192 * 142.81020 * 27 26 24 51 51 H 1.08997 * 110.36859 * 265.03271 * 27 26 24 52 52 H 1.08996 * 110.37237 * 281.67473 * 29 28 27 53 53 H 1.09005 * 110.36763 * 159.34071 * 29 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 6 1.5300 0.0000 0.0000 3 8 2.0063 1.3473 0.0000 4 6 3.4263 1.4618 -0.1124 5 1 3.8073 0.6555 -0.7393 6 6 3.7755 2.7893 -0.7341 7 8 2.9336 3.6578 -0.8223 8 7 5.0235 3.0114 -1.1921 9 6 5.3902 4.3328 -1.7075 10 6 6.8081 4.2814 -2.2802 11 7 6.9025 3.2546 -3.3208 12 6 6.1651 3.3731 -4.4687 13 1 5.4556 4.1806 -4.5737 14 6 6.3296 2.4555 -5.4971 15 7 7.1178 1.4147 -5.3307 16 14 5.4321 2.6978 -7.1174 17 1 6.2219 3.6032 -7.9902 18 1 5.2626 1.3851 -7.7905 19 1 4.0984 3.2979 -6.8597 20 6 7.2150 5.6649 -2.8453 21 6 8.7656 5.6064 -2.7993 22 6 9.0779 4.8530 -1.4899 23 6 7.8333 4.0106 -1.1598 24 6 4.0572 1.3682 1.2783 25 1 3.6937 0.4845 1.8029 26 6 5.5985 1.3392 1.1727 27 6 6.0509 2.6029 1.9375 28 8 4.9679 2.8903 2.8487 29 6 3.7608 2.6459 2.0943 30 1 -0.3633 0.5138 -0.8900 31 1 -0.3634 -1.0276 -0.0005 32 1 -0.3633 0.5138 0.8900 33 1 1.8933 -0.5138 -0.8899 34 1 1.8933 -0.5138 0.8900 35 1 5.6788 2.2964 -1.1805 36 1 5.3514 5.0621 -0.8984 37 1 4.6918 4.6234 -2.4923 38 1 7.4843 2.4887 -3.1951 39 1 7.2330 0.7737 -6.0495 40 1 6.8606 5.7834 -3.8693 41 1 6.8395 6.4673 -2.2102 42 1 9.1842 6.6124 -2.7698 43 1 9.1540 5.0576 -3.6572 44 1 9.2710 5.5643 -0.6868 45 1 9.9423 4.2036 -1.6289 46 1 7.4225 4.3129 -0.1966 47 1 8.0928 2.9520 -1.1391 48 1 5.9969 0.4424 1.6473 49 1 5.9108 1.3891 0.1297 50 1 6.9690 2.4036 2.4901 51 1 6.1976 3.4326 1.2460 52 1 3.5543 3.4828 1.4272 53 1 2.9197 2.4797 2.7674 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 ZINC001698799915.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 06:11:40 Heat of formation + Delta-G solvation = -121.660902 kcal Electronic energy + Delta-G solvation = -32824.852814 eV Core-core repulsion = 28696.614943 eV Total energy + Delta-G solvation = -4128.237871 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.92 seconds Orbital eigenvalues (eV) -40.66303 -38.77848 -38.21412 -37.42375 -34.22051 -33.45911 -33.00364 -31.14719 -30.58385 -29.41401 -28.27657 -28.16709 -26.31321 -24.22525 -23.48367 -23.24840 -22.56178 -21.08218 -20.34181 -19.63315 -18.69784 -17.44003 -17.00517 -16.89208 -16.44496 -16.16984 -15.60274 -15.28681 -15.15182 -14.88577 -14.64677 -14.44181 -14.16605 -13.93782 -13.64480 -13.43980 -13.05246 -12.94299 -12.67547 -12.55564 -12.49357 -12.27771 -11.87583 -11.71805 -11.47745 -11.40430 -11.20533 -11.11436 -11.05217 -10.90099 -10.83214 -10.75302 -10.65956 -10.52274 -10.32175 -10.01961 -9.90700 -9.82538 -9.73201 -9.68302 -9.23099 -8.93556 -8.50999 -7.06149 -5.85329 -3.13347 2.90503 3.08528 3.39765 3.46108 3.47529 3.87614 3.96129 4.42594 4.52809 4.58903 4.73558 4.83216 4.93394 4.97686 5.06547 5.09547 5.10908 5.17767 5.23712 5.24897 5.31267 5.39759 5.54340 5.54673 5.58335 5.61306 5.67775 5.76387 5.80298 5.83165 5.84572 5.91725 5.92159 5.95407 6.02245 6.11824 6.17681 6.23596 6.31733 6.42315 6.52964 6.60304 6.71724 6.75416 6.81849 6.91367 7.00847 7.07865 7.68147 7.94116 8.33316 8.60425 9.45725 9.98866 10.34278 11.36766 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.009252 B = 0.004688 C = 0.003482 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3025.619255 B = 5970.971300 C = 8040.350688 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 0.052 3.948 3 O -0.354 6.354 4 C 0.080 3.920 5 H 0.087 0.913 6 C 0.515 3.485 7 O -0.530 6.530 8 N -0.698 5.698 9 C 0.117 3.883 10 C 0.188 3.812 11 N -0.707 5.707 12 C -0.232 4.232 13 H 0.070 0.930 14 C -0.008 4.008 15 N -0.931 5.931 16 Si 0.899 3.101 17 H -0.289 1.289 18 H -0.293 1.293 19 H -0.283 1.283 20 C -0.128 4.128 21 C -0.113 4.113 22 C -0.117 4.117 23 C -0.125 4.125 24 C -0.138 4.138 25 H 0.094 0.906 26 C -0.155 4.155 27 C 0.044 3.956 28 O -0.376 6.376 29 C 0.051 3.949 30 H 0.065 0.935 31 H 0.070 0.930 32 H 0.063 0.937 33 H 0.052 0.948 34 H 0.048 0.952 35 H 0.399 0.601 36 H 0.051 0.949 37 H 0.069 0.931 38 H 0.384 0.616 39 H 0.254 0.746 40 H 0.076 0.924 41 H 0.053 0.947 42 H 0.050 0.950 43 H 0.070 0.930 44 H 0.053 0.947 45 H 0.057 0.943 46 H 0.061 0.939 47 H 0.063 0.937 48 H 0.083 0.917 49 H 0.082 0.918 50 H 0.091 0.909 51 H 0.066 0.934 52 H 0.073 0.927 53 H 0.092 0.908 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.027 -1.714 14.580 14.820 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 -0.025 4.025 3 O -0.272 6.272 4 C 0.018 3.982 5 H 0.105 0.895 6 C 0.300 3.700 7 O -0.406 6.406 8 N -0.352 5.352 9 C -0.009 4.009 10 C 0.096 3.904 11 N -0.348 5.348 12 C -0.363 4.363 13 H 0.088 0.912 14 C -0.204 4.204 15 N -0.579 5.579 16 Si 0.731 3.269 17 H -0.217 1.217 18 H -0.219 1.219 19 H -0.208 1.208 20 C -0.168 4.168 21 C -0.150 4.150 22 C -0.155 4.155 23 C -0.163 4.163 24 C -0.157 4.157 25 H 0.113 0.887 26 C -0.193 4.193 27 C -0.033 4.033 28 O -0.295 6.295 29 C -0.026 4.026 30 H 0.084 0.916 31 H 0.089 0.911 32 H 0.082 0.918 33 H 0.070 0.930 34 H 0.067 0.933 35 H 0.237 0.763 36 H 0.070 0.930 37 H 0.088 0.912 38 H 0.218 0.782 39 H 0.064 0.936 40 H 0.095 0.905 41 H 0.071 0.929 42 H 0.069 0.931 43 H 0.089 0.911 44 H 0.072 0.928 45 H 0.076 0.924 46 H 0.080 0.920 47 H 0.082 0.918 48 H 0.101 0.899 49 H 0.100 0.900 50 H 0.110 0.890 51 H 0.085 0.915 52 H 0.091 0.909 53 H 0.111 0.889 Dipole moment (debyes) X Y Z Total from point charges -2.833 -0.824 14.601 14.896 hybrid contribution 0.150 -1.004 -1.357 1.695 sum -2.683 -1.828 13.243 13.635 Atomic orbital electron populations 1.21719 0.93497 1.02081 1.03390 1.22609 0.95893 0.83751 1.00197 1.88050 1.18708 1.26143 1.94270 1.22023 0.83421 0.97334 0.95382 0.89512 1.19994 0.82735 0.88607 0.78701 1.90692 1.47770 1.45816 1.56340 1.45931 1.11919 1.14995 1.62353 1.21941 0.98921 0.82665 0.97418 1.20623 0.90244 0.90736 0.88825 1.42375 1.52436 1.23351 1.16659 1.19075 1.15224 1.09550 0.92437 0.91209 1.24670 0.99966 0.97507 0.98217 1.69644 1.42012 1.13540 1.32739 0.86321 0.79279 0.76820 0.84517 1.21672 1.21932 1.20834 1.22890 0.95325 0.96724 1.01889 1.22242 0.96363 0.98740 0.97679 1.22033 0.97587 0.98295 0.97583 1.22424 0.95818 1.00070 0.97965 1.22977 0.95866 1.00846 0.96016 0.88738 1.23107 0.94033 0.99962 1.02166 1.23461 0.91204 0.96072 0.92549 1.89097 1.15147 1.89558 1.35716 1.23523 0.88295 0.95802 0.94989 0.91615 0.91139 0.91825 0.92997 0.93332 0.76349 0.93042 0.91238 0.78160 0.93574 0.90504 0.92860 0.93098 0.91103 0.92769 0.92406 0.91986 0.91799 0.89870 0.89954 0.89044 0.91545 0.90904 0.88947 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -1.46 10.28 37.16 0.38 -1.08 16 2 C 0.05 0.58 6.49 37.16 0.24 0.82 16 3 O -0.35 -5.26 9.50 -54.76 -0.52 -5.78 16 4 C 0.08 1.13 2.26 -27.89 -0.06 1.06 16 5 H 0.09 1.13 7.76 -51.93 -0.40 0.72 16 6 C 0.52 8.96 5.38 -10.99 -0.06 8.90 16 7 O -0.53 -11.23 15.87 -13.97 -0.22 -11.45 16 8 N -0.70 -11.42 4.64 -60.29 -0.28 -11.70 16 9 C 0.12 2.04 4.38 -4.04 -0.02 2.02 16 10 C 0.19 3.23 0.52 -130.16 -0.07 3.16 16 11 N -0.71 -15.16 4.80 -45.70 -0.22 -15.38 16 12 C -0.23 -5.83 8.54 -15.06 -0.13 -5.96 16 13 H 0.07 1.79 7.14 -52.49 -0.37 1.41 16 14 C -0.01 -0.20 5.50 -17.43 -0.10 -0.30 16 15 N -0.93 -26.11 13.07 55.49 0.73 -25.39 16 16 Si 0.90 21.84 29.56 -169.99 -5.02 16.81 16 17 H -0.29 -7.03 7.11 56.52 0.40 -6.63 16 18 H -0.29 -7.23 7.11 56.52 0.40 -6.83 16 19 H -0.28 -6.87 7.11 56.52 0.40 -6.47 16 20 C -0.13 -2.15 5.90 -24.55 -0.14 -2.29 16 21 C -0.11 -1.73 6.80 -24.89 -0.17 -1.90 16 22 C -0.12 -1.59 6.80 -25.62 -0.17 -1.76 16 23 C -0.12 -1.76 5.61 -25.62 -0.14 -1.90 16 24 C -0.14 -1.60 3.12 -89.05 -0.28 -1.88 16 25 H 0.09 0.95 7.58 -51.92 -0.39 0.56 16 26 C -0.15 -1.61 6.15 -25.16 -0.15 -1.77 16 27 C 0.04 0.50 7.63 37.93 0.29 0.79 16 28 O -0.38 -5.14 11.65 -35.23 -0.41 -5.55 16 29 C 0.05 0.67 6.93 37.93 0.26 0.94 16 30 H 0.06 0.71 8.14 -51.93 -0.42 0.29 16 31 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 32 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 33 H 0.05 0.56 7.97 -51.93 -0.41 0.14 16 34 H 0.05 0.44 7.60 -51.93 -0.39 0.05 16 35 H 0.40 6.09 5.53 -40.82 -0.23 5.86 16 36 H 0.05 0.84 8.07 -51.93 -0.42 0.43 16 37 H 0.07 1.44 7.52 -51.93 -0.39 1.05 16 38 H 0.38 8.83 7.47 -40.82 -0.31 8.53 16 39 H 0.25 7.06 8.31 -40.82 -0.34 6.72 16 40 H 0.08 1.47 7.08 -51.93 -0.37 1.10 16 41 H 0.05 0.80 8.06 -51.93 -0.42 0.38 16 42 H 0.05 0.69 8.14 -51.93 -0.42 0.26 16 43 H 0.07 1.25 8.14 -51.93 -0.42 0.83 16 44 H 0.05 0.64 8.14 -51.93 -0.42 0.22 16 45 H 0.06 0.77 8.14 -51.93 -0.42 0.35 16 46 H 0.06 0.78 6.61 -51.93 -0.34 0.44 16 47 H 0.06 0.89 7.73 -51.92 -0.40 0.49 16 48 H 0.08 0.72 8.14 -51.93 -0.42 0.30 16 49 H 0.08 0.89 4.90 -51.93 -0.25 0.63 16 50 H 0.09 0.86 8.14 -51.93 -0.42 0.44 16 51 H 0.07 0.80 6.91 -51.93 -0.36 0.44 16 52 H 0.07 1.15 5.80 -51.93 -0.30 0.85 16 53 H 0.09 1.13 8.14 -51.93 -0.42 0.71 16 LS Contribution 406.19 15.07 6.12 6.12 Total: -1.00 -30.62 406.19 -9.28 -39.90 By element: Atomic # 1 Polarization: 22.69 SS G_CDS: -9.13 Total: 13.56 kcal Atomic # 6 Polarization: -0.82 SS G_CDS: -0.32 Total: -1.14 kcal Atomic # 7 Polarization: -52.69 SS G_CDS: 0.23 Total: -52.46 kcal Atomic # 8 Polarization: -21.63 SS G_CDS: -1.15 Total: -22.79 kcal Atomic # 14 Polarization: 21.84 SS G_CDS: -5.02 Total: 16.81 kcal Total LS contribution 6.12 Total: 6.12 kcal Total: -30.62 -9.28 -39.90 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. ZINC001698799915.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 -81.760 kcal (2) G-P(sol) polarization free energy of solvation -30.621 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -112.381 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.280 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.901 kcal (6) G-S(sol) free energy of system = (1) + (5) -121.661 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.93 seconds