Wall clock time and date at job start Sun Mar 7 2021 00:10:11 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 * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS WATER ******************************************************************************* 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 O 2 2 C 1.42901 * 1 3 3 Si 1.86299 * 109.47045 * 2 1 4 4 C 1.50697 * 109.47524 * 120.00435 * 2 1 3 5 5 C 1.38241 * 119.93922 * 245.02713 * 4 2 1 6 6 C 1.38189 * 120.07642 * 179.76619 * 5 4 2 7 7 C 1.38671 * 119.95680 * 0.45464 * 6 5 4 8 8 O 1.35923 * 120.06147 * 179.79022 * 7 6 5 9 9 C 1.42902 * 116.99920 * 359.73029 * 8 7 6 10 10 C 1.52993 * 109.47220 * 179.97438 * 9 8 7 11 11 N 1.46502 * 109.47276 * 179.97438 * 10 9 8 12 12 C 1.34816 * 126.59316 * 124.95293 * 11 10 9 13 13 C 1.36602 * 106.83847 * 180.02562 * 12 11 10 14 14 C 1.47523 * 125.76914 * 180.26109 * 13 12 11 15 15 O 1.21593 * 119.99812 * 359.71778 * 14 13 12 16 16 N 1.34778 * 119.99693 * 179.71404 * 14 13 12 17 17 C 1.46496 * 119.99756 * 180.02562 * 16 14 13 18 18 H 1.09005 * 112.84986 * 23.80664 * 17 16 14 19 19 C 1.53785 * 113.61366 * 155.00167 * 17 16 14 20 20 C 1.53786 * 87.07965 * 139.98132 * 19 17 16 21 21 H 1.08997 * 113.61550 * 89.11743 * 20 19 17 22 22 C 1.53001 * 113.61334 * 219.93474 * 20 19 17 23 23 N 1.46502 * 109.47133 * 185.00013 * 22 20 19 24 24 C 1.34426 * 126.82045 * 124.70807 * 23 22 20 25 25 N 1.30833 * 108.07794 * 179.89436 * 24 23 22 26 26 C 1.33245 * 109.82585 * 0.38421 * 25 24 23 27 27 N 1.30712 * 108.94766 * 359.76199 * 26 25 24 28 28 C 1.53783 * 87.08222 * 334.56842 * 20 19 17 29 29 N 1.34404 * 108.45542 * 359.97438 * 13 12 11 30 30 N 1.28755 * 109.52541 * 0.02562 * 29 13 12 31 31 C 1.38862 * 119.87974 * 359.52091 * 7 6 5 32 32 Cl 1.73599 * 120.03782 * 180.27358 * 31 7 6 33 33 C 1.38210 * 119.92152 * 0.25194 * 31 7 6 34 34 H 0.96696 * 113.99603 * 299.99835 * 1 2 3 35 35 H 1.09009 * 109.47103 * 240.00467 * 2 1 3 36 36 H 1.48502 * 110.00236 * 300.00206 * 3 2 1 37 37 H 1.48499 * 110.00112 * 61.32174 * 3 2 1 38 38 H 1.07994 * 119.95941 * 359.97438 * 5 4 2 39 39 H 1.07993 * 120.02493 * 180.25137 * 6 5 4 40 40 H 1.09010 * 109.47308 * 59.99565 * 9 8 7 41 41 H 1.09000 * 109.47027 * 299.99743 * 9 8 7 42 42 H 1.09003 * 109.47538 * 59.99982 * 10 9 8 43 43 H 1.09000 * 109.47334 * 300.00074 * 10 9 8 44 44 H 1.07999 * 126.58413 * 0.02562 * 12 11 10 45 45 H 0.96999 * 120.00021 * 0.02562 * 16 14 13 46 46 H 1.08997 * 113.61405 * 254.52804 * 19 17 16 47 47 H 1.08997 * 113.61304 * 25.43586 * 19 17 16 48 48 H 1.09003 * 109.46876 * 305.00407 * 22 20 19 49 49 H 1.08997 * 109.47110 * 65.00004 * 22 20 19 50 50 H 1.08006 * 125.96370 * 0.04234 * 24 23 22 51 51 H 1.08001 * 125.52838 * 179.72718 * 26 25 24 52 52 H 1.08998 * 113.61337 * 270.88240 * 28 20 19 53 53 H 1.08995 * 113.61262 * 139.98264 * 28 20 19 54 54 H 1.08005 * 119.97813 * 179.97438 * 33 31 7 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 8 0.0000 0.0000 0.0000 2 6 1.4290 0.0000 0.0000 3 14 2.0500 1.7565 0.0000 4 6 1.9314 -0.7105 1.2304 5 6 2.6383 -0.0110 2.1907 6 6 3.0961 -0.6586 3.3223 7 6 2.8544 -2.0137 3.4902 8 8 3.3075 -2.6538 4.6004 9 6 4.0310 -1.8699 5.5513 10 6 4.4562 -2.7554 6.7242 11 7 5.1984 -1.9519 7.6988 12 6 4.9193 -1.8206 9.0112 13 6 5.8631 -0.9831 9.5345 14 6 5.9529 -0.5589 10.9446 15 8 5.1364 -0.9577 11.7525 16 7 6.9400 0.2705 11.3372 17 6 7.0295 0.6913 12.7376 18 1 6.5468 -0.0073 13.4211 19 6 8.4491 1.0948 13.1701 20 6 7.7973 2.2406 13.9620 21 1 7.5239 1.9668 14.9810 22 6 8.5748 3.5562 13.8887 23 7 7.9437 4.5460 14.7651 24 6 8.5333 5.2369 15.7561 25 7 7.6342 6.0184 16.2969 26 6 6.4620 5.8490 15.6863 27 7 6.6009 4.9571 14.7410 28 6 6.6276 2.1578 12.9671 29 7 6.6997 -0.6158 8.5488 30 7 6.3355 -1.1716 7.4459 31 6 2.1437 -2.7145 2.5247 32 17 1.8326 -4.4095 2.7341 33 6 1.6840 -2.0608 1.3971 34 1 -0.3932 0.4417 0.7651 35 1 1.7924 -0.5138 -0.8901 36 1 1.5614 2.4679 -1.2085 37 1 1.5879 2.4585 1.2242 38 1 2.8299 1.0435 2.0579 39 1 3.6447 -0.1105 4.0739 40 1 3.3947 -1.0638 5.9170 41 1 4.9158 -1.4470 5.0755 42 1 5.0922 -3.5617 6.3589 43 1 3.5712 -3.1780 7.1999 44 1 4.1058 -2.2878 9.5462 45 1 7.5912 0.5888 10.6926 46 1 8.9410 0.3534 13.7997 47 1 9.0763 1.4351 12.3462 48 1 9.6028 3.3890 14.2103 49 1 8.5704 3.9241 12.8627 50 1 9.5692 5.1619 16.0524 51 1 5.5456 6.3645 15.9329 52 1 6.7569 2.7887 12.0878 53 1 5.6491 2.2746 13.4329 54 1 1.1316 -2.6050 0.6453 There are 81 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 81 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). Cl: (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=WATER s_22_14644236_7143556.mol2 54 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sun Mar 7 2021 00:10:11 Heat of formation + Delta-G solvation = 146.990424 kcal Electronic energy + Delta-G solvation = -40419.025178 eV Core-core repulsion = 34810.661961 eV Total energy + Delta-G solvation = -5608.363217 eV No. of doubly occupied orbitals = 81 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 460.146 amu Computer time = 2.44 seconds Orbital eigenvalues (eV) -43.37466 -42.95096 -41.53657 -41.07489 -39.53401 -39.39793 -37.81537 -37.18990 -36.18398 -35.43342 -33.99155 -32.56193 -32.13415 -32.05891 -31.94747 -30.69758 -28.99599 -26.77749 -26.70745 -25.80924 -25.53127 -24.05833 -23.73090 -22.85947 -22.83403 -22.50500 -22.23705 -21.50794 -20.73126 -19.81611 -18.92740 -18.56148 -18.30547 -17.73073 -17.44136 -17.42886 -17.25794 -17.00464 -16.72059 -16.69873 -16.22435 -16.18283 -15.91623 -15.86770 -15.72179 -15.56802 -15.34879 -15.05305 -15.00138 -14.92215 -14.80099 -14.59569 -14.43713 -13.82561 -13.67917 -13.66319 -13.53043 -13.43792 -13.20318 -13.15511 -12.86778 -12.61284 -12.59669 -12.36502 -12.29424 -12.22849 -12.08989 -11.99474 -11.90427 -11.66235 -11.49915 -11.41753 -11.24684 -10.95360 -10.76557 -10.66856 -10.55032 -10.51992 -10.04594 -10.04475 -9.37447 -4.93954 -0.05068 -0.00185 0.05515 0.51400 0.70143 0.73750 1.04629 1.31492 1.48541 1.56656 1.94010 1.96452 2.03737 2.07250 2.13714 2.35551 3.07779 3.19814 3.32848 3.37733 3.45456 3.47624 3.56417 3.56593 3.62708 3.70419 3.71413 3.75117 3.77637 3.86285 3.95987 3.96517 4.03476 4.07650 4.14701 4.21258 4.27419 4.34295 4.41737 4.43639 4.56410 4.59418 4.61540 4.65547 4.73791 4.76695 4.81565 4.82129 4.96655 4.99735 5.06454 5.17167 5.19299 5.23146 5.36619 5.43638 5.48747 5.53256 5.98200 5.99221 6.35033 6.46484 6.78689 7.06901 7.16603 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 O -0.548 6.548 2 C -0.078 4.078 3 Si 0.767 3.233 4 C -0.140 4.140 5 C -0.070 4.070 6 C -0.189 4.189 7 C 0.138 3.862 8 O -0.306 6.306 9 C 0.046 3.954 10 C 0.123 3.877 11 N -0.350 5.350 12 C 0.117 3.883 13 C -0.123 4.123 14 C 0.605 3.395 15 O -0.571 6.571 16 N -0.695 5.695 17 C 0.114 3.886 18 H 0.099 0.901 19 C -0.115 4.115 20 C -0.110 4.110 21 H 0.088 0.912 22 C 0.134 3.866 23 N -0.378 5.378 24 C 0.256 3.744 25 N -0.587 5.587 26 C 0.183 3.817 27 N -0.344 5.344 28 C -0.135 4.135 29 N -0.213 5.213 30 N -0.079 5.079 31 C -0.082 4.082 32 Cl -0.062 7.062 33 C -0.052 4.052 34 H 0.387 0.613 35 H 0.128 0.872 36 H -0.304 1.304 37 H -0.278 1.278 38 H 0.155 0.845 39 H 0.159 0.841 40 H 0.081 0.919 41 H 0.085 0.915 42 H 0.124 0.876 43 H 0.147 0.853 44 H 0.235 0.765 45 H 0.417 0.583 46 H 0.093 0.907 47 H 0.115 0.885 48 H 0.145 0.855 49 H 0.098 0.902 50 H 0.260 0.740 51 H 0.229 0.771 52 H 0.089 0.911 53 H 0.049 0.951 54 H 0.144 0.856 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 6.363 -0.504 -1.362 6.527 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 O -0.356 6.356 2 C -0.187 4.187 3 Si 0.672 3.328 4 C -0.141 4.141 5 C -0.088 4.088 6 C -0.208 4.208 7 C 0.091 3.909 8 O -0.218 6.218 9 C -0.030 4.030 10 C 0.003 3.997 11 N -0.136 5.136 12 C -0.041 4.041 13 C -0.263 4.263 14 C 0.390 3.610 15 O -0.449 6.449 16 N -0.345 5.345 17 C 0.010 3.990 18 H 0.117 0.883 19 C -0.154 4.154 20 C -0.130 4.130 21 H 0.106 0.894 22 C 0.014 3.986 23 N -0.169 5.169 24 C -0.040 4.040 25 N -0.315 5.315 26 C -0.120 4.120 27 N -0.172 5.172 28 C -0.174 4.174 29 N -0.087 5.087 30 N -0.060 5.060 31 C -0.109 4.109 32 Cl -0.033 7.033 33 C -0.071 4.071 34 H 0.236 0.764 35 H 0.145 0.855 36 H -0.233 1.233 37 H -0.204 1.204 38 H 0.172 0.828 39 H 0.177 0.823 40 H 0.100 0.900 41 H 0.103 0.897 42 H 0.142 0.858 43 H 0.165 0.835 44 H 0.251 0.749 45 H 0.255 0.745 46 H 0.112 0.888 47 H 0.133 0.867 48 H 0.162 0.838 49 H 0.116 0.884 50 H 0.275 0.725 51 H 0.245 0.755 52 H 0.107 0.893 53 H 0.068 0.932 54 H 0.162 0.838 Dipole moment (debyes) X Y Z Total from point charges 6.128 -0.274 -2.629 6.674 hybrid contribution -1.830 -0.493 0.874 2.087 sum 4.298 -0.766 -1.755 4.705 Atomic orbital electron populations 1.86596 1.18461 1.80340 1.50215 1.25198 0.83456 1.11744 0.98305 0.94103 0.90216 0.71862 0.76615 1.20203 1.01934 0.93717 0.98222 1.21195 0.94757 1.00748 0.92088 1.21404 1.05790 0.92295 1.01283 1.18689 0.94406 0.91213 0.86557 1.86002 1.68909 1.37956 1.28946 1.22986 0.97158 0.94048 0.88814 1.21914 0.98400 0.91759 0.87659 1.50335 1.21333 1.33992 1.07892 1.23894 0.99926 0.96029 0.84220 1.21462 1.00222 1.08972 0.95599 1.16953 0.81149 0.78100 0.84772 1.90821 1.42256 1.58061 1.53785 1.45720 1.30067 1.47375 1.11294 1.22620 0.99179 0.95332 0.81912 0.88262 1.23311 0.94794 0.96787 1.00462 1.22496 0.96824 0.94409 0.99261 0.89384 1.22219 0.97466 0.84491 0.94464 1.50772 1.06544 1.32355 1.27225 1.26915 1.01640 0.88869 0.86552 1.70544 1.01200 1.27690 1.32039 1.26430 0.98390 0.95681 0.91467 1.78012 0.96404 1.18442 1.24379 1.23427 0.98602 0.96071 0.99331 1.74602 1.21218 1.16087 0.96805 1.81981 0.99325 1.08115 1.16534 1.20364 1.06498 0.86620 0.97402 1.98386 1.94625 1.13051 1.97268 1.20886 0.96911 0.94185 0.95111 0.76411 0.85467 1.23253 1.20442 0.82785 0.82331 0.90036 0.89652 0.85792 0.83483 0.74882 0.74536 0.88799 0.86652 0.83758 0.88385 0.72478 0.75498 0.89280 0.93228 0.83834 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 O -0.55 -0.29 12.83 -148.98 -1.91 -2.20 16 2 C -0.08 0.24 2.80 71.24 0.20 0.44 16 3 Si 0.77 -3.40 29.88 68.60 2.05 -1.35 16 4 C -0.14 0.36 5.35 -19.85 -0.11 0.26 16 5 C -0.07 0.33 8.66 22.26 0.19 0.52 16 6 C -0.19 0.79 9.04 22.36 0.20 0.99 16 7 C 0.14 -0.11 6.68 22.52 0.15 0.04 16 8 O -0.31 0.81 9.60 -92.68 -0.89 -0.08 16 9 C 0.05 -0.35 4.95 71.98 0.36 0.01 16 10 C 0.12 -1.22 6.91 86.38 0.60 -0.62 16 11 N -0.35 1.55 3.69 -347.10 -1.28 0.27 16 12 C 0.12 -0.42 11.27 83.85 0.95 0.53 16 13 C -0.12 -0.21 6.99 40.82 0.29 0.08 16 14 C 0.61 2.59 7.82 86.69 0.68 3.26 16 15 O -0.57 -5.98 16.46 -4.01 -0.07 -6.04 16 16 N -0.69 0.49 5.35 -443.20 -2.37 -1.88 16 17 C 0.11 -0.22 4.24 45.52 0.19 -0.03 16 18 H 0.10 0.23 7.46 -2.38 -0.02 0.22 16 19 C -0.12 1.05 7.39 31.12 0.23 1.28 16 20 C -0.11 0.67 3.85 -10.26 -0.04 0.63 16 21 H 0.09 -0.27 8.14 -2.39 -0.02 -0.29 16 22 C 0.13 -1.14 6.39 86.38 0.55 -0.59 16 23 N -0.38 0.28 3.69 -352.05 -1.30 -1.02 16 24 C 0.26 -0.36 12.63 180.36 2.28 1.91 16 25 N -0.59 -3.51 11.19 -204.00 -2.28 -5.79 16 26 C 0.18 1.03 13.03 180.76 2.36 3.38 16 27 N -0.34 -2.08 12.57 -61.24 -0.77 -2.85 16 28 C -0.14 0.16 7.43 31.12 0.23 0.39 16 29 N -0.21 -0.63 12.04 -49.99 -0.60 -1.24 16 30 N -0.08 -0.13 13.65 37.02 0.51 0.38 16 31 C -0.08 -0.12 6.33 22.41 0.14 0.02 16 32 Cl -0.06 -0.19 28.51 -2.72 -0.08 -0.27 16 33 C -0.05 0.00 9.46 22.28 0.21 0.21 16 34 H 0.39 -1.95 8.70 -74.06 -0.64 -2.60 16 35 H 0.13 -0.58 7.96 -2.38 -0.02 -0.60 16 36 H -0.30 -1.24 7.11 99.48 0.71 -0.53 16 37 H -0.28 0.38 7.01 99.48 0.70 1.08 16 38 H 0.16 -1.33 4.83 -2.91 -0.01 -1.34 16 39 H 0.16 -1.30 6.30 -2.91 -0.02 -1.32 16 40 H 0.08 -0.71 7.65 -2.38 -0.02 -0.73 16 41 H 0.09 -0.61 7.67 -2.39 -0.02 -0.63 16 42 H 0.12 -1.35 8.14 -2.39 -0.02 -1.37 16 43 H 0.15 -2.17 8.08 -2.39 -0.02 -2.19 16 44 H 0.23 -2.26 8.06 -2.91 -0.02 -2.29 16 45 H 0.42 -1.70 8.41 -92.71 -0.78 -2.48 16 46 H 0.09 -0.96 8.14 -2.39 -0.02 -0.98 16 47 H 0.12 -1.50 8.08 -2.39 -0.02 -1.52 16 48 H 0.14 -2.33 8.09 -2.39 -0.02 -2.35 16 49 H 0.10 -0.90 7.85 -2.39 -0.02 -0.92 16 50 H 0.26 -3.08 8.06 -2.91 -0.02 -3.11 16 51 H 0.23 0.06 8.06 -2.91 -0.02 0.03 16 52 H 0.09 -0.13 7.90 -2.39 -0.02 -0.15 16 53 H 0.05 0.23 8.14 -2.39 -0.02 0.21 16 54 H 0.14 -0.06 8.06 -2.91 -0.02 -0.08 16 Total: 0.00 -33.54 478.58 0.26 -33.28 By element: Atomic # 1 Polarization: -23.53 SS G_CDS: -0.39 Total: -23.92 kcal Atomic # 6 Polarization: 3.07 SS G_CDS: 9.65 Total: 12.72 kcal Atomic # 7 Polarization: -4.03 SS G_CDS: -8.10 Total: -12.13 kcal Atomic # 8 Polarization: -5.46 SS G_CDS: -2.87 Total: -8.33 kcal Atomic # 14 Polarization: -3.40 SS G_CDS: 2.05 Total: -1.35 kcal Atomic # 17 Polarization: -0.19 SS G_CDS: -0.08 Total: -0.27 kcal Total: -33.54 0.26 -33.28 kcal The number of atoms in the molecule is 54 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_14644236_7143556.mol2 54 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 180.274 kcal (2) G-P(sol) polarization free energy of solvation -33.545 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 146.729 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy 0.262 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -33.283 kcal (6) G-S(sol) free energy of system = (1) + (5) 146.990 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 2.45 seconds