Wall clock time and date at job start Tue Mar 9 2021 13:25:09 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 C 2 2 C 1.50706 * 1 3 3 C 1.34803 * 125.90347 * 2 1 4 4 C 1.40994 * 107.48641 * 179.70022 * 3 2 1 5 5 C 1.50699 * 126.25881 * 180.22855 * 4 3 2 6 6 O 1.42899 * 109.46800 * 255.02339 * 5 4 3 7 7 Si 1.86302 * 109.46949 * 15.02369 * 5 4 3 8 8 C 1.34816 * 107.48274 * 0.26118 * 4 3 2 9 9 C 1.50696 * 125.90034 * 179.97438 * 8 4 3 10 10 N 1.36644 * 108.19366 * 0.02562 * 8 4 3 11 11 C 1.39672 * 125.67885 * 180.02562 * 10 8 4 12 12 C 1.40201 * 120.15165 * 269.99561 * 11 10 8 13 13 C 1.47578 * 120.19427 * 359.97438 * 12 11 10 14 14 O 1.21577 * 119.99740 * 0.02562 * 13 12 11 15 15 N 1.34780 * 120.00062 * 179.97438 * 13 12 11 16 16 C 1.46504 * 119.99863 * 180.02562 * 15 13 12 17 17 H 1.08997 * 112.85030 * 25.33077 * 16 15 13 18 18 C 1.53777 * 113.61131 * 156.52909 * 16 15 13 19 19 C 1.53782 * 87.08062 * 139.97709 * 18 16 15 20 20 H 1.09000 * 113.61589 * 89.19875 * 19 18 16 21 21 C 1.52998 * 113.61467 * 220.01912 * 19 18 16 22 22 N 1.46503 * 109.46865 * 184.99986 * 21 19 18 23 23 C 1.35318 * 125.86732 * 124.71533 * 22 21 19 24 24 C 1.35350 * 106.17599 * 179.90604 * 23 22 21 25 25 N 1.33775 * 106.49507 * 0.35086 * 24 23 22 26 26 N 1.28634 * 108.88562 * 359.77448 * 25 24 23 27 27 C 1.53780 * 113.60951 * 254.13504 * 16 15 13 28 28 C 1.39657 * 119.61426 * 180.02562 * 12 11 10 29 29 C 1.37832 * 119.91699 * 0.02562 * 28 12 11 30 30 C 1.38535 * 120.30885 * 0.02562 * 29 28 12 31 31 C 1.38067 * 120.39134 * 359.67482 * 30 29 28 32 32 H 1.08993 * 109.46730 * 90.02308 * 1 2 3 33 33 H 1.08997 * 109.47417 * 210.02651 * 1 2 3 34 34 H 1.08995 * 109.46693 * 330.02648 * 1 2 3 35 35 H 1.08002 * 126.26078 * 359.96695 * 3 2 1 36 36 H 1.08997 * 109.47172 * 135.02650 * 5 4 3 37 37 H 0.96702 * 113.99939 * 179.97438 * 6 5 4 38 38 H 1.48493 * 110.00191 * 299.99983 * 7 5 4 39 39 H 1.48495 * 109.99742 * 61.32190 * 7 5 4 40 40 H 1.08997 * 109.47617 * 90.02707 * 9 8 4 41 41 H 1.09004 * 109.47345 * 210.02986 * 9 8 4 42 42 H 1.09010 * 109.47266 * 330.02508 * 9 8 4 43 43 H 0.97001 * 119.99552 * 0.02562 * 15 13 12 44 44 H 1.09003 * 113.61662 * 254.52828 * 18 16 15 45 45 H 1.09002 * 113.61484 * 25.34895 * 18 16 15 46 46 H 1.09002 * 109.47075 * 304.99393 * 21 19 18 47 47 H 1.08996 * 109.47741 * 65.00333 * 21 19 18 48 48 H 1.07996 * 126.90966 * 0.02562 * 23 22 21 49 49 H 1.08000 * 126.75627 * 180.12200 * 24 23 22 50 50 H 1.09004 * 113.61839 * 334.56567 * 27 16 15 51 51 H 1.08999 * 113.61343 * 105.47608 * 27 16 15 52 52 H 1.08008 * 120.04389 * 179.97438 * 28 12 11 53 53 H 1.08005 * 119.84253 * 179.97438 * 29 28 12 54 54 H 1.08002 * 119.79811 * 179.97438 * 30 29 28 55 55 H 1.08001 * 119.95977 * 180.32540 * 31 30 29 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 1.5071 0.0000 0.0000 3 6 2.2976 1.0919 0.0000 4 6 3.6353 0.6465 0.0070 5 6 4.8648 1.5178 0.0144 6 8 5.4618 1.5101 -1.2838 7 14 4.3880 3.2607 0.4684 8 6 3.6133 -0.7015 0.0052 9 6 4.8194 -1.6049 0.0104 10 7 2.3084 -1.1069 -0.0033 11 6 1.8671 -2.4321 -0.0071 12 6 1.6521 -3.0992 -1.2214 13 6 1.8902 -2.4052 -2.5018 14 8 2.2744 -1.2517 -2.5058 15 7 1.6828 -3.0504 -3.6668 16 6 1.9197 -2.3616 -4.9379 17 1 2.6420 -1.5499 -4.8513 18 6 2.2014 -3.3143 -6.1116 19 6 1.3342 -2.3821 -6.9740 20 1 1.8958 -1.5760 -7.4461 21 6 0.4233 -3.1247 -7.9537 22 7 -0.2694 -2.1557 -8.8067 23 6 -0.2591 -2.1407 -10.1597 24 6 -1.0236 -1.0872 -10.5309 25 7 -1.4520 -0.5122 -9.4016 26 7 -0.9878 -1.1690 -8.3978 27 6 0.6287 -1.9617 -5.6717 28 6 1.2103 -4.4240 -1.2121 29 6 0.9882 -5.0662 -0.0130 30 6 1.2007 -4.4035 1.1849 31 6 1.6433 -3.0958 1.1907 32 1 -0.3632 -0.0004 -1.0276 33 1 -0.3634 -0.8897 0.5142 34 1 -0.3632 0.8902 0.5134 35 1 1.9668 2.1200 -0.0005 36 1 5.5776 1.1343 0.7444 37 1 6.2599 2.0517 -1.3530 38 1 3.4165 3.7951 -0.5193 39 1 3.7950 3.2867 1.8295 40 1 5.1046 -1.8245 1.0392 41 1 4.5796 -2.5342 -0.5064 42 1 5.6467 -1.1096 -0.4982 43 1 1.3766 -3.9708 -3.6636 44 1 3.2488 -3.3387 -6.4126 45 1 1.7761 -4.3091 -5.9783 46 1 1.0232 -3.7909 -8.5738 47 1 -0.3100 -3.7082 -7.3972 48 1 0.2540 -2.8316 -10.8121 49 1 -1.2415 -0.7706 -11.5402 50 1 -0.2286 -2.5855 -5.4186 51 1 0.4083 -0.8956 -5.6180 52 1 1.0420 -4.9444 -2.1435 53 1 0.6461 -6.0907 -0.0072 54 1 1.0237 -4.9146 2.1197 55 1 1.8117 -2.5875 2.1286 There are 75 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 75 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). 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_14928172_12335856.mol2 55 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 9 2021 13:25:09 Heat of formation + Delta-G solvation = 154.089366 kcal Electronic energy + Delta-G solvation = -39496.145161 eV Core-core repulsion = 34697.423584 eV Total energy + Delta-G solvation = -4798.721577 eV No. of doubly occupied orbitals = 75 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 408.195 amu Computer time = 1.83 seconds Orbital eigenvalues (eV) -44.18408 -42.98669 -41.37922 -40.17172 -39.06765 -37.65865 -35.87793 -34.68365 -34.20009 -33.74541 -32.31280 -31.95422 -30.57522 -30.24534 -29.49961 -27.33662 -26.82469 -25.75972 -24.71415 -24.33751 -23.58791 -23.42137 -22.42335 -21.70375 -21.25607 -20.82747 -20.02625 -18.90775 -18.62673 -18.30185 -17.93084 -17.60440 -17.15576 -16.74461 -16.33749 -16.24279 -16.13025 -15.99596 -15.78981 -15.62103 -15.35114 -15.24006 -15.17950 -14.86342 -14.72669 -14.39780 -14.34228 -14.25017 -13.86522 -13.77281 -13.74283 -13.55486 -13.52535 -13.25215 -13.19973 -13.15856 -13.01772 -12.68174 -12.65299 -12.51845 -12.38209 -12.33604 -12.05423 -11.95879 -11.95309 -11.48509 -11.09449 -10.99704 -10.34353 -10.33748 -10.23039 -10.13529 -10.02574 -9.70027 -8.83454 -4.99392 -0.46877 -0.00462 0.67383 1.05061 1.37072 1.49429 1.59067 1.61433 1.70553 1.75014 1.81428 1.99513 2.09054 2.55886 3.23499 3.35834 3.44447 3.56702 3.58365 3.60656 3.65059 3.71813 3.78494 3.91933 3.93268 3.96467 4.10027 4.12280 4.13810 4.16504 4.19449 4.20598 4.26871 4.31407 4.33459 4.37279 4.45976 4.50445 4.53414 4.59144 4.61434 4.61845 4.67455 4.72251 4.79507 4.81113 4.88843 4.89805 4.97726 5.00980 5.07701 5.09169 5.15336 5.24237 5.25652 5.25951 5.45560 5.59966 5.70796 5.91802 6.08545 6.40110 6.51421 7.01210 7.12017 7.53187 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.076 4.076 2 C 0.035 3.965 3 C -0.226 4.226 4 C -0.184 4.184 5 C -0.039 4.039 6 O -0.568 6.568 7 Si 0.790 3.210 8 C 0.062 3.938 9 C -0.074 4.074 10 N -0.388 5.388 11 C 0.137 3.863 12 C -0.144 4.144 13 C 0.540 3.460 14 O -0.551 6.551 15 N -0.699 5.699 16 C 0.118 3.882 17 H 0.079 0.921 18 C -0.105 4.105 19 C -0.113 4.113 20 H 0.083 0.917 21 C 0.120 3.880 22 N -0.287 5.287 23 C -0.033 4.033 24 C -0.074 4.074 25 N -0.326 5.326 26 N -0.124 5.124 27 C -0.140 4.140 28 C -0.072 4.072 29 C -0.103 4.103 30 C -0.075 4.075 31 C -0.122 4.122 32 H 0.059 0.941 33 H 0.074 0.926 34 H 0.087 0.913 35 H 0.118 0.882 36 H 0.083 0.917 37 H 0.395 0.605 38 H -0.314 1.314 39 H -0.295 1.295 40 H 0.086 0.914 41 H 0.056 0.944 42 H 0.083 0.917 43 H 0.416 0.584 44 H 0.093 0.907 45 H 0.128 0.872 46 H 0.153 0.847 47 H 0.116 0.884 48 H 0.238 0.762 49 H 0.210 0.790 50 H 0.098 0.902 51 H 0.036 0.964 52 H 0.167 0.833 53 H 0.174 0.826 54 H 0.166 0.834 55 H 0.134 0.866 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 4.039 -14.559 -0.776 15.128 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 -0.133 4.133 2 C -0.075 4.075 3 C -0.250 4.250 4 C -0.190 4.190 5 C -0.149 4.149 6 O -0.377 6.377 7 Si 0.698 3.302 8 C -0.048 4.048 9 C -0.131 4.131 10 N -0.062 5.062 11 C 0.047 3.953 12 C -0.148 4.148 13 C 0.327 3.673 14 O -0.429 6.429 15 N -0.352 5.352 16 C 0.013 3.987 17 H 0.097 0.903 18 C -0.144 4.144 19 C -0.133 4.133 20 H 0.101 0.899 21 C 0.001 3.999 22 N -0.081 5.081 23 C -0.185 4.185 24 C -0.232 4.232 25 N -0.191 5.191 26 N -0.103 5.103 27 C -0.179 4.179 28 C -0.091 4.091 29 C -0.120 4.120 30 C -0.094 4.094 31 C -0.141 4.141 32 H 0.078 0.922 33 H 0.092 0.908 34 H 0.106 0.894 35 H 0.135 0.865 36 H 0.101 0.899 37 H 0.245 0.755 38 H -0.243 1.243 39 H -0.223 1.223 40 H 0.105 0.895 41 H 0.075 0.925 42 H 0.101 0.899 43 H 0.255 0.745 44 H 0.111 0.889 45 H 0.147 0.853 46 H 0.171 0.829 47 H 0.134 0.866 48 H 0.254 0.746 49 H 0.226 0.774 50 H 0.117 0.883 51 H 0.056 0.944 52 H 0.184 0.816 53 H 0.192 0.808 54 H 0.184 0.816 55 H 0.152 0.848 Dipole moment (debyes) X Y Z Total from point charges 2.528 -13.182 0.570 13.434 hybrid contribution -0.244 -0.348 -1.015 1.100 sum 2.284 -13.530 -0.445 13.728 Atomic orbital electron populations 1.20265 0.87103 1.03829 1.02139 1.20397 0.93962 0.85064 1.08061 1.20467 0.93606 0.96958 1.14012 1.18813 0.93600 0.92746 1.13866 1.24109 0.94021 1.08554 0.88203 1.86535 1.46803 1.74048 1.30276 0.95233 0.84325 0.75912 0.74777 1.20383 0.84628 0.93744 1.06064 1.20273 0.92923 0.96856 1.03043 1.40981 1.05179 1.03061 1.56933 1.17893 1.00517 0.83067 0.93823 1.20254 1.06246 0.96596 0.91723 1.18586 0.77631 0.86180 0.84914 1.90961 1.45833 1.18266 1.87806 1.45689 1.68242 1.17025 1.04279 1.22404 0.97595 0.96824 0.81878 0.90252 1.23275 1.01457 0.98579 0.91061 1.22524 0.97355 0.99524 0.93884 0.89863 1.22589 0.95812 0.88261 0.93255 1.47888 1.32211 1.20803 1.07216 1.24450 1.05512 1.03840 0.84672 1.24247 1.01982 0.96997 0.99977 1.75098 1.21663 1.24448 0.97909 1.78286 1.10024 0.99416 1.22588 1.23523 0.97888 1.01025 0.95438 1.21655 0.95237 0.90964 1.01213 1.21736 0.97387 1.02026 0.90893 1.21709 0.94396 0.92417 1.00841 1.21463 1.00044 0.96387 0.96246 0.92245 0.90752 0.89387 0.86467 0.89921 0.75488 1.24316 1.22307 0.89512 0.92525 0.89863 0.74509 0.88889 0.85346 0.82912 0.86571 0.74573 0.77368 0.88313 0.94450 0.81586 0.80831 0.81648 0.84839 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 -0.08 -0.75 10.09 71.24 0.72 -0.03 16 2 C 0.03 0.54 6.03 41.02 0.25 0.79 16 3 C -0.23 -4.28 9.27 22.16 0.21 -4.07 16 4 C -0.18 -3.05 5.39 -19.98 -0.11 -3.16 16 5 C -0.04 -0.37 2.48 71.24 0.18 -0.19 16 6 O -0.57 -5.62 12.86 -148.98 -1.92 -7.53 16 7 Si 0.79 5.89 30.84 68.60 2.12 8.00 16 8 C 0.06 0.88 6.00 41.02 0.25 1.13 16 9 C -0.07 -0.57 9.87 71.23 0.70 0.13 16 10 N -0.39 -4.96 1.43 -319.54 -0.46 -5.42 16 11 C 0.14 0.87 4.52 38.49 0.17 1.05 16 12 C -0.14 -0.46 5.89 -19.99 -0.12 -0.57 16 13 C 0.54 4.23 7.77 86.71 0.67 4.90 16 14 O -0.55 -10.35 13.33 -3.96 -0.05 -10.40 16 15 N -0.70 0.70 5.31 -443.16 -2.35 -1.65 16 16 C 0.12 0.03 4.21 45.52 0.19 0.23 16 17 H 0.08 0.68 7.50 -2.39 -0.02 0.66 16 18 C -0.11 0.99 7.39 31.12 0.23 1.22 16 19 C -0.11 0.56 3.76 -10.21 -0.04 0.52 16 20 H 0.08 -0.04 8.14 -2.39 -0.02 -0.06 16 21 C 0.12 -1.07 6.30 86.38 0.54 -0.52 16 22 N -0.29 -0.15 3.44 -347.73 -1.20 -1.35 16 23 C -0.03 0.10 11.57 83.49 0.97 1.06 16 24 C -0.07 -0.27 12.05 83.73 1.01 0.74 16 25 N -0.33 -4.29 12.41 -58.25 -0.72 -5.01 16 26 N -0.12 -1.34 12.93 37.02 0.48 -0.86 16 27 C -0.14 -0.16 7.45 31.18 0.23 0.08 16 28 C -0.07 0.45 9.53 22.52 0.21 0.67 16 29 C -0.10 0.93 10.02 22.24 0.22 1.15 16 30 C -0.08 0.48 10.03 22.30 0.22 0.71 16 31 C -0.12 -0.06 9.96 22.35 0.22 0.16 16 32 H 0.06 0.69 8.14 -2.39 -0.02 0.67 16 33 H 0.07 0.47 7.84 -2.39 -0.02 0.45 16 34 H 0.09 0.65 8.14 -2.39 -0.02 0.63 16 35 H 0.12 2.29 6.55 -2.91 -0.02 2.27 16 36 H 0.08 0.36 7.96 -2.39 -0.02 0.34 16 37 H 0.40 -0.83 8.74 -74.06 -0.65 -1.48 16 38 H -0.31 -5.32 7.06 99.48 0.70 -4.61 16 39 H -0.30 -3.76 7.11 99.48 0.71 -3.06 16 40 H 0.09 0.30 8.14 -2.39 -0.02 0.28 16 41 H 0.06 0.43 7.83 -2.38 -0.02 0.41 16 42 H 0.08 0.67 7.87 -2.38 -0.02 0.65 16 43 H 0.42 -3.93 6.74 -92.71 -0.63 -4.55 16 44 H 0.09 -0.92 8.14 -2.39 -0.02 -0.94 16 45 H 0.13 -2.07 8.07 -2.39 -0.02 -2.09 16 46 H 0.15 -2.63 8.07 -2.39 -0.02 -2.64 16 47 H 0.12 -1.31 7.85 -2.39 -0.02 -1.33 16 48 H 0.24 -3.25 8.06 -2.91 -0.02 -3.27 16 49 H 0.21 -0.55 8.06 -2.91 -0.02 -0.57 16 50 H 0.10 -0.14 7.90 -2.39 -0.02 -0.16 16 51 H 0.04 0.37 8.14 -2.39 -0.02 0.35 16 52 H 0.17 -2.29 6.40 -2.91 -0.02 -2.30 16 53 H 0.17 -2.74 8.06 -2.91 -0.02 -2.76 16 54 H 0.17 -1.96 8.06 -2.91 -0.02 -1.99 16 55 H 0.13 0.06 8.06 -2.91 -0.02 0.03 16 Total: 0.00 -45.83 454.77 2.53 -43.30 By element: Atomic # 1 Polarization: -24.77 SS G_CDS: -0.30 Total: -25.07 kcal Atomic # 6 Polarization: -0.96 SS G_CDS: 6.94 Total: 5.98 kcal Atomic # 7 Polarization: -10.03 SS G_CDS: -4.25 Total: -14.28 kcal Atomic # 8 Polarization: -15.96 SS G_CDS: -1.97 Total: -17.93 kcal Atomic # 14 Polarization: 5.89 SS G_CDS: 2.12 Total: 8.00 kcal Total: -45.83 2.53 -43.30 kcal The number of atoms in the molecule is 55 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_14928172_12335856.mol2 55 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 197.391 kcal (2) G-P(sol) polarization free energy of solvation -45.830 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 151.560 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy 2.529 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.301 kcal (6) G-S(sol) free energy of system = (1) + (5) 154.089 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.83 seconds