Wall clock time and date at job start Sat Apr 11 2020 06:09:11 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= -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 1.52997 * 109.47269 * 2 1 4 4 N 1.46503 * 109.46989 * 119.99754 * 2 1 3 5 5 C 1.46497 * 119.99770 * 119.20931 * 4 2 1 6 6 C 1.50701 * 109.47411 * 270.00304 * 5 4 2 7 7 H 1.08002 * 119.99979 * 359.97438 * 6 5 4 8 8 C 1.37875 * 120.00284 * 180.02562 * 6 5 4 9 9 N 1.31520 * 120.00082 * 359.97438 * 8 6 5 10 10 Si 1.86801 * 120.00087 * 180.02562 * 8 6 5 11 11 H 1.48498 * 109.47292 * 59.99623 * 10 8 6 12 12 H 1.48506 * 109.46953 * 179.97438 * 10 8 6 13 13 H 1.48501 * 109.46844 * 299.99489 * 10 8 6 14 14 C 1.34769 * 120.00137 * 299.20900 * 4 2 1 15 15 O 1.21281 * 120.00013 * 5.31602 * 14 4 2 16 16 C 1.50698 * 119.99904 * 185.30513 * 14 4 2 17 17 C 1.53005 * 109.47100 * 177.93740 * 16 14 4 18 18 C 1.53941 * 113.74335 * 86.26430 * 17 16 14 19 19 N 1.47921 * 85.99981 * 138.00530 * 18 17 16 20 20 C 1.34773 * 134.50335 * 155.35637 * 19 18 17 21 21 O 1.21515 * 119.99930 * 180.02562 * 20 19 18 22 22 O 1.34634 * 120.00115 * 0.02562 * 20 19 18 23 23 C 1.45200 * 117.00273 * 179.97438 * 22 20 19 24 24 C 1.53008 * 109.46535 * 60.00204 * 23 22 20 25 25 C 1.52997 * 109.47492 * 180.02562 * 23 22 20 26 26 C 1.52996 * 109.47449 * 300.00532 * 23 22 20 27 27 C 1.47589 * 91.00577 * 335.35955 * 19 18 17 28 28 H 1.09002 * 109.47597 * 306.62068 * 1 2 3 29 29 H 1.09008 * 109.47377 * 66.61593 * 1 2 3 30 30 H 1.09003 * 109.47383 * 186.61777 * 1 2 3 31 31 H 1.08998 * 109.47080 * 240.00102 * 2 1 3 32 32 H 1.08998 * 109.47394 * 173.88538 * 3 2 1 33 33 H 1.08998 * 109.47208 * 293.88728 * 3 2 1 34 34 H 1.09003 * 109.47129 * 53.88133 * 3 2 1 35 35 H 1.09007 * 109.47097 * 29.99880 * 5 4 2 36 36 H 1.08998 * 109.47093 * 149.99946 * 5 4 2 37 37 H 0.96991 * 119.99894 * 180.02562 * 9 8 6 38 38 H 1.09003 * 109.47135 * 57.94393 * 16 14 4 39 39 H 1.09000 * 109.47687 * 297.93743 * 16 14 4 40 40 H 1.09004 * 112.94266 * 314.67189 * 17 16 14 41 41 H 1.08998 * 113.76837 * 252.36083 * 18 17 16 42 42 H 1.08997 * 113.76786 * 23.75390 * 18 17 16 43 43 H 1.08993 * 109.46979 * 60.00252 * 24 23 22 44 44 H 1.09005 * 109.46582 * 180.02562 * 24 23 22 45 45 H 1.08999 * 109.47485 * 299.99494 * 24 23 22 46 46 H 1.09004 * 109.47135 * 60.00103 * 25 23 22 47 47 H 1.09002 * 109.47232 * 180.02562 * 25 23 22 48 48 H 1.09001 * 109.47100 * 300.00358 * 25 23 22 49 49 H 1.09004 * 109.47340 * 59.99515 * 26 23 22 50 50 H 1.09002 * 109.47223 * 179.97438 * 26 23 22 51 51 H 1.08997 * 109.47065 * 299.99799 * 26 23 22 52 52 H 1.09003 * 113.76792 * 270.33750 * 27 19 18 53 53 H 1.08991 * 113.76787 * 138.94112 * 27 19 18 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 7 2.0183 -0.6906 1.1962 5 6 2.8461 -1.8917 1.0619 6 6 1.9608 -3.1108 1.0271 7 1 0.8887 -3.0018 1.0984 8 6 2.5196 -4.3653 0.9053 9 7 3.8252 -4.4982 0.8190 10 14 1.4221 -5.8763 0.8614 11 1 0.4961 -5.7821 -0.2956 12 1 2.2614 -7.0939 0.7254 13 1 0.6365 -5.9541 2.1192 14 6 1.7059 -0.2209 2.4202 15 8 0.9428 0.7149 2.5341 16 6 2.3046 -0.8586 3.6473 17 6 1.8308 -0.1091 4.8943 18 6 0.4809 -0.6074 5.4414 19 7 1.0957 -0.4830 6.7810 20 6 0.6159 -0.3035 8.0276 21 8 1.3811 -0.2359 8.9692 22 8 -0.7111 -0.1992 8.2297 23 6 -1.1564 -0.0076 9.5984 24 6 -0.5530 1.2836 10.1549 25 6 -2.6831 0.0875 9.6294 26 6 -0.7023 -1.1925 10.4531 27 6 2.4457 -0.6344 6.2042 28 1 -0.3634 0.6130 0.8248 29 1 -0.3634 0.4079 -0.9433 30 1 -0.3634 -1.0208 0.1184 31 1 1.8933 -0.5138 -0.8900 32 1 3.1245 1.4444 0.1095 33 1 1.7688 1.9237 -0.9396 34 1 1.5900 1.9870 0.8302 35 1 3.4222 -1.8346 0.1382 36 1 3.5265 -1.9608 1.9107 37 1 4.2182 -5.3808 0.7330 38 1 3.3920 -0.8123 3.5870 39 1 1.9879 -1.8998 3.7071 40 1 1.8877 0.9741 4.7862 41 1 -0.3447 0.0831 5.2692 42 1 0.2447 -1.6335 5.1599 43 1 -0.8766 2.1277 9.5460 44 1 -0.8870 1.4272 11.1826 45 1 0.5346 1.2154 10.1330 46 1 -3.1126 -0.8326 9.2330 47 1 -3.0174 0.2318 10.6569 48 1 -3.0070 0.9315 9.0204 49 1 0.3854 -1.2608 10.4311 50 1 -1.0363 -1.0484 11.4807 51 1 -1.1321 -2.1124 10.0567 52 1 2.7853 -1.6686 6.1464 53 1 3.1874 0.0344 6.6406 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 ZINC000073227370.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 06:09:11 Heat of formation + Delta-G solvation = -91.629070 kcal Electronic energy + Delta-G solvation = -31087.346591 eV Core-core repulsion = 26960.410997 eV Total energy + Delta-G solvation = -4126.935593 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.72 seconds Orbital eigenvalues (eV) -40.82598 -39.75199 -38.73983 -36.52380 -35.36081 -34.11257 -33.32448 -31.99561 -30.78714 -27.57986 -27.52192 -27.37149 -26.78626 -26.61680 -26.15971 -23.06023 -22.45828 -21.43958 -20.04119 -19.19016 -18.14140 -17.66083 -16.74193 -16.69776 -16.29060 -16.01161 -15.48404 -15.38592 -14.83522 -14.61887 -14.45893 -14.22509 -14.02752 -13.57460 -13.29543 -12.92188 -12.81499 -12.66594 -12.50313 -12.39395 -12.31178 -12.23321 -12.03891 -12.03567 -11.88610 -11.69083 -11.58430 -11.51498 -11.40419 -11.13880 -11.03268 -10.99075 -10.89475 -10.70692 -10.51297 -10.43810 -10.40471 -10.08071 -9.95111 -9.75435 -8.82308 -8.72657 -8.58320 -7.71702 -6.22430 -4.30098 2.01641 2.90487 3.20882 3.26718 3.28082 3.41325 3.74480 3.86846 4.29109 4.51049 4.57071 4.61076 4.75094 4.97381 5.07172 5.11698 5.22597 5.29135 5.33590 5.36499 5.46702 5.51569 5.52482 5.57067 5.61303 5.68038 5.70105 5.70152 5.72577 5.80700 5.85609 5.92888 6.05462 6.07128 6.09794 6.14077 6.18691 6.21421 6.34554 6.44990 6.49044 6.51011 6.71932 6.79255 6.85029 7.14836 7.56917 7.72545 7.73409 8.01960 8.36140 8.37149 8.76262 9.02743 9.38526 10.83950 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011122 B = 0.002853 C = 0.002531 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2516.835000 B = 9811.288873 C =11062.211174 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.162 4.162 2 C 0.148 3.852 3 C -0.164 4.164 4 N -0.593 5.593 5 C 0.237 3.763 6 C -0.537 4.537 7 H 0.061 0.939 8 C 0.066 3.934 9 N -0.891 5.891 10 Si 0.895 3.105 11 H -0.276 1.276 12 H -0.286 1.286 13 H -0.275 1.275 14 C 0.520 3.480 15 O -0.570 6.570 16 C -0.130 4.130 17 C -0.100 4.100 18 C 0.116 3.884 19 N -0.633 5.633 20 C 0.672 3.328 21 O -0.576 6.576 22 O -0.361 6.361 23 C 0.135 3.865 24 C -0.183 4.183 25 C -0.140 4.140 26 C -0.183 4.183 27 C 0.134 3.866 28 H 0.073 0.927 29 H 0.048 0.952 30 H 0.056 0.944 31 H 0.081 0.919 32 H 0.049 0.951 33 H 0.053 0.947 34 H 0.071 0.929 35 H 0.033 0.967 36 H 0.039 0.961 37 H 0.266 0.734 38 H 0.096 0.904 39 H 0.108 0.892 40 H 0.110 0.890 41 H 0.086 0.914 42 H 0.089 0.911 43 H 0.059 0.941 44 H 0.068 0.932 45 H 0.087 0.913 46 H 0.066 0.934 47 H 0.079 0.921 48 H 0.066 0.934 49 H 0.087 0.913 50 H 0.068 0.932 51 H 0.059 0.941 52 H 0.092 0.908 53 H 0.084 0.916 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -6.295 8.646 11.279 15.543 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 -0.220 4.220 2 C 0.044 3.956 3 C -0.222 4.222 4 N -0.323 5.323 5 C 0.117 3.883 6 C -0.576 4.576 7 H 0.079 0.921 8 C -0.137 4.137 9 N -0.529 5.529 10 Si 0.722 3.278 11 H -0.202 1.202 12 H -0.212 1.212 13 H -0.201 1.201 14 C 0.309 3.691 15 O -0.452 6.452 16 C -0.170 4.170 17 C -0.119 4.119 18 C -0.006 4.006 19 N -0.375 5.375 20 C 0.429 3.571 21 O -0.467 6.467 22 O -0.276 6.276 23 C 0.098 3.902 24 C -0.240 4.240 25 C -0.197 4.197 26 C -0.240 4.240 27 C 0.013 3.987 28 H 0.092 0.908 29 H 0.067 0.933 30 H 0.075 0.925 31 H 0.099 0.901 32 H 0.068 0.932 33 H 0.072 0.928 34 H 0.090 0.910 35 H 0.052 0.948 36 H 0.057 0.943 37 H 0.076 0.924 38 H 0.115 0.885 39 H 0.126 0.874 40 H 0.128 0.872 41 H 0.105 0.895 42 H 0.107 0.893 43 H 0.078 0.922 44 H 0.087 0.913 45 H 0.106 0.894 46 H 0.085 0.915 47 H 0.097 0.903 48 H 0.085 0.915 49 H 0.106 0.894 50 H 0.087 0.913 51 H 0.078 0.922 52 H 0.110 0.890 53 H 0.103 0.897 Dipole moment (debyes) X Y Z Total from point charges -6.428 9.028 11.851 16.225 hybrid contribution -0.487 -1.260 -0.101 1.355 sum -6.916 7.767 11.750 15.691 Atomic orbital electron populations 1.22165 0.95668 1.02542 1.01662 1.20809 0.94247 0.92171 0.88329 1.22179 1.00816 0.97050 1.02146 1.48339 1.51225 1.28490 1.04287 1.19459 0.90045 0.80389 0.98445 1.21466 0.93752 0.90754 1.51641 0.92123 1.24933 0.95013 0.99022 0.94762 1.69905 1.09711 1.24119 1.49202 0.86608 0.80421 0.81920 0.78841 1.20158 1.21168 1.20089 1.20274 0.81109 0.82915 0.84811 1.90540 1.37153 1.30527 1.86936 1.21614 1.02351 1.01669 0.91373 1.22912 0.94907 1.01858 0.92259 1.23426 0.97891 1.01954 0.77286 1.48846 1.11059 1.74048 1.03527 1.17531 0.81062 0.76175 0.82331 1.90869 1.58363 1.57402 1.40028 1.86332 1.22912 1.85572 1.32761 1.22042 0.94522 0.96054 0.77616 1.22513 1.04309 0.96062 1.01091 1.21851 0.91702 1.03387 1.02796 1.22511 1.04806 0.97177 0.99516 1.23345 0.84084 1.02073 0.89177 0.90796 0.93324 0.92481 0.90080 0.93155 0.92769 0.90977 0.94844 0.94268 0.92448 0.88530 0.87398 0.87193 0.89523 0.89254 0.92199 0.91319 0.89385 0.91467 0.90266 0.91467 0.89402 0.91287 0.92199 0.88965 0.89713 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -2.74 9.01 37.16 0.33 -2.40 16 2 C 0.15 2.59 3.28 -67.93 -0.22 2.37 16 3 C -0.16 -2.52 9.01 37.16 0.33 -2.19 16 4 N -0.59 -11.38 2.41 -167.47 -0.40 -11.78 16 5 C 0.24 5.20 4.99 -5.19 -0.03 5.17 16 6 C -0.54 -13.14 9.39 -34.44 -0.32 -13.46 16 7 H 0.06 1.52 7.81 -52.49 -0.41 1.10 16 8 C 0.07 1.66 5.46 -17.82 -0.10 1.57 16 9 N -0.89 -23.55 13.29 55.43 0.74 -22.81 16 10 Si 0.89 19.87 29.54 -169.99 -5.02 14.85 16 11 H -0.28 -6.15 7.11 56.52 0.40 -5.74 16 12 H -0.29 -6.36 7.11 56.52 0.40 -5.96 16 13 H -0.28 -6.07 7.11 56.52 0.40 -5.67 16 14 C 0.52 9.42 7.08 -10.99 -0.08 9.34 16 15 O -0.57 -10.89 12.20 5.56 0.07 -10.82 16 16 C -0.13 -1.97 4.03 -27.88 -0.11 -2.09 16 17 C -0.10 -1.33 3.27 -89.69 -0.29 -1.63 16 18 C 0.12 1.60 8.45 -2.78 -0.02 1.58 16 19 N -0.63 -9.17 3.62 -183.89 -0.66 -9.84 16 20 C 0.67 10.58 8.22 54.05 0.44 11.02 16 21 O -0.58 -9.86 12.61 -19.28 -0.24 -10.10 16 22 O -0.36 -5.21 9.88 -40.31 -0.40 -5.61 16 23 C 0.13 1.54 1.13 -90.62 -0.10 1.44 16 24 C -0.18 -1.99 8.37 37.16 0.31 -1.67 16 25 C -0.14 -1.21 8.85 37.16 0.33 -0.88 16 26 C -0.18 -2.01 8.37 37.16 0.31 -1.70 16 27 C 0.13 1.68 8.40 -2.96 -0.02 1.65 16 28 H 0.07 1.32 6.27 -51.93 -0.33 1.00 16 29 H 0.05 0.70 8.14 -51.92 -0.42 0.28 16 30 H 0.06 1.04 8.14 -51.93 -0.42 0.62 16 31 H 0.08 1.43 7.79 -51.93 -0.40 1.03 16 32 H 0.05 0.76 8.14 -51.93 -0.42 0.34 16 33 H 0.05 0.71 8.14 -51.93 -0.42 0.29 16 34 H 0.07 1.20 6.47 -51.93 -0.34 0.86 16 35 H 0.03 0.79 7.91 -51.93 -0.41 0.38 16 36 H 0.04 0.87 6.39 -51.93 -0.33 0.54 16 37 H 0.27 6.75 8.31 -40.82 -0.34 6.41 16 38 H 0.10 1.38 7.48 -51.93 -0.39 0.99 16 39 H 0.11 1.76 7.83 -51.93 -0.41 1.35 16 40 H 0.11 1.54 7.77 -51.93 -0.40 1.13 16 41 H 0.09 1.21 8.14 -51.93 -0.42 0.79 16 42 H 0.09 1.21 7.92 -51.93 -0.41 0.80 16 43 H 0.06 0.63 8.14 -51.93 -0.42 0.21 16 44 H 0.07 0.59 8.14 -51.93 -0.42 0.16 16 45 H 0.09 1.17 5.88 -51.93 -0.31 0.86 16 46 H 0.07 0.58 8.14 -51.93 -0.42 0.15 16 47 H 0.08 0.51 8.14 -51.93 -0.42 0.09 16 48 H 0.07 0.57 8.14 -51.93 -0.42 0.15 16 49 H 0.09 1.18 5.88 -51.93 -0.31 0.87 16 50 H 0.07 0.60 8.14 -51.93 -0.42 0.17 16 51 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 52 H 0.09 1.08 8.10 -51.93 -0.42 0.66 16 53 H 0.08 0.99 8.14 -51.93 -0.42 0.57 16 LS Contribution 419.84 15.07 6.33 6.33 Total: -1.00 -28.68 419.84 -8.33 -37.01 By element: Atomic # 1 Polarization: 14.15 SS G_CDS: -9.49 Total: 4.66 kcal Atomic # 6 Polarization: 7.36 SS G_CDS: 0.76 Total: 8.12 kcal Atomic # 7 Polarization: -44.10 SS G_CDS: -0.33 Total: -44.43 kcal Atomic # 8 Polarization: -25.97 SS G_CDS: -0.57 Total: -26.54 kcal Atomic # 14 Polarization: 19.87 SS G_CDS: -5.02 Total: 14.85 kcal Total LS contribution 6.33 Total: 6.33 kcal Total: -28.68 -8.33 -37.01 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. ZINC000073227370.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 -54.620 kcal (2) G-P(sol) polarization free energy of solvation -28.681 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -83.301 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.328 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -37.009 kcal (6) G-S(sol) free energy of system = (1) + (5) -91.629 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.72 seconds