Wall clock time and date at job start Fri Mar 5 2021 09:18:27 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 * 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 1.17402 * 1 3 3 C 1.47193 * 179.97438 * 2 1 4 4 N 1.46496 * 109.47059 * 186.86008 * 3 2 1 5 5 C 1.34786 * 120.00187 * 276.35560 * 4 3 2 6 6 O 1.21487 * 120.00002 * 175.70627 * 5 4 3 7 7 C 1.48330 * 119.99430 * 355.70148 * 5 4 3 8 8 N 1.30978 * 126.94318 * 5.49497 * 7 5 4 9 9 O 1.20912 * 111.44067 * 179.79382 * 8 7 5 10 10 C 1.34012 * 111.84349 * 0.49172 * 9 8 7 11 11 C 1.35315 * 106.67165 * 359.70009 * 10 9 8 12 12 C 1.46495 * 120.00201 * 96.35402 * 4 3 2 13 13 C 1.53148 * 109.53664 * 119.99543 * 12 4 3 14 14 C 1.53021 * 109.25310 * 176.81332 * 13 12 4 15 15 N 1.46778 * 109.62190 * 300.04153 * 14 13 12 16 16 H 1.00900 * 109.41461 * 303.09776 * 15 14 13 17 17 C 1.46913 * 109.40524 * 183.25490 * 15 14 13 18 18 C 1.50704 * 109.46867 * 174.85286 * 17 15 14 19 19 C 1.37949 * 119.92935 * 89.99349 * 18 17 15 20 20 C 1.39560 * 119.85041 * 179.97438 * 19 18 17 21 21 C 1.43198 * 120.13497 * 179.97438 * 20 19 18 22 22 C 9.80495 * 82.74703 * 224.06144 * 2 1 3 23 23 C 1.39516 * 119.72320 * 0.02562 * 20 19 18 24 24 C 1.37998 * 119.84991 * 359.97438 * 23 20 19 25 25 C 1.50703 * 119.92342 * 179.97438 * 24 23 20 26 26 O 1.42903 * 109.47058 * 120.00038 * 25 24 23 27 27 Si 1.86302 * 109.47344 * 0.02562 * 25 24 23 28 28 H 1.48497 * 109.47062 * 60.00223 * 27 25 24 29 29 H 1.48498 * 109.46870 * 180.02562 * 27 25 24 30 30 H 1.48502 * 109.46820 * 300.00112 * 27 25 24 31 31 C 1.38325 * 120.14476 * 359.74450 * 24 23 20 32 32 C 1.46775 * 109.77779 * 63.17982 * 15 14 13 33 33 C 1.53023 * 109.61613 * 296.74516 * 32 15 14 34 34 H 4.40641 * 5.51382 * 179.97438 * 4 1 2 35 35 H 1.09008 * 109.46891 * 66.86402 * 3 2 1 36 36 H 1.09001 * 109.47702 * 306.86326 * 3 2 1 37 37 H 1.08001 * 126.66653 * 179.72653 * 10 9 8 38 38 H 1.08001 * 128.03976 * 179.97438 * 11 10 9 39 39 H 1.09001 * 109.53334 * 359.84656 * 12 4 3 40 40 H 1.09001 * 109.50138 * 56.88628 * 13 12 4 41 41 H 1.08994 * 109.54597 * 296.77568 * 13 12 4 42 42 H 1.09004 * 109.44118 * 179.97438 * 14 13 12 43 43 H 1.09002 * 109.41949 * 60.07238 * 14 13 12 44 44 H 1.08993 * 109.47207 * 54.84998 * 17 15 14 45 45 H 1.08997 * 109.46930 * 294.84688 * 17 15 14 46 46 H 1.07994 * 120.07438 * 359.96366 * 19 18 17 47 47 H 9.93701 * 83.14514 * 220.33905 * 4 1 2 48 48 H 1.07993 * 120.07116 * 179.97438 * 23 20 19 49 49 H 1.09002 * 109.46917 * 239.99485 * 25 24 23 50 50 H 0.96703 * 113.99843 * 300.00293 * 26 25 24 51 51 H 1.07996 * 119.85722 * 180.25045 * 31 24 23 52 52 H 1.08996 * 109.44650 * 56.86685 * 32 15 14 53 53 H 1.09003 * 109.44492 * 176.76983 * 32 15 14 54 54 H 1.09000 * 109.56870 * 300.14035 * 33 32 15 55 55 H 1.09006 * 109.54643 * 179.97438 * 33 32 15 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 1.1740 0.0000 0.0000 3 6 2.6460 0.0007 0.0000 4 7 3.1336 1.3722 0.1650 5 6 3.2361 2.1844 -0.9058 6 8 3.5657 3.3445 -0.7589 7 6 2.9465 1.6618 -2.2634 8 7 2.4877 0.4734 -2.5681 9 8 2.3506 0.3455 -3.7626 10 6 2.7168 1.4499 -4.4276 11 6 3.1169 2.3481 -3.4980 12 6 3.5100 1.8610 1.4937 13 6 4.9833 2.2788 1.4874 14 6 5.3483 2.8619 2.8542 15 7 4.5073 4.0325 3.1312 16 1 4.6194 4.7088 2.3909 17 6 4.9140 4.6347 4.4081 18 6 4.1386 5.9072 4.6329 19 6 2.9313 5.8689 5.2993 20 6 2.2149 7.0484 5.5071 21 6 0.9608 7.0156 6.1977 22 6 -0.0639 6.9894 6.7641 23 6 2.7250 8.2593 5.0383 24 6 3.9339 8.2839 4.3731 25 6 4.4862 9.5909 3.8655 26 8 5.7543 9.8410 4.4751 27 14 3.3094 10.9705 4.2933 28 1 3.1452 11.0417 5.7675 29 1 3.8535 12.2582 3.7926 30 1 1.9914 10.7108 3.6604 31 6 4.6419 7.1121 4.1755 32 6 3.0995 3.6250 3.2106 33 6 2.6473 3.0731 1.8569 34 1 -1.0503 -0.0004 -0.0002 35 1 3.0094 -0.4030 -0.9451 36 1 3.0097 -0.6157 0.8222 37 1 2.6962 1.5950 -5.4976 38 1 3.4813 3.3523 -3.6564 39 1 3.3585 1.0708 2.2291 40 1 5.1448 3.0315 0.7157 41 1 5.6081 1.4092 1.2840 42 1 6.3968 3.1600 2.8532 43 1 5.1863 2.1082 3.6248 44 1 5.9803 4.8589 4.3807 45 1 4.7102 3.9367 5.2201 46 1 2.5415 4.9283 5.6593 47 1 -0.9861 6.9661 7.2699 48 1 2.1751 9.1753 5.1956 49 1 4.6073 9.5385 2.7835 50 1 5.7221 9.9002 5.4398 51 1 5.5894 7.1373 3.6579 52 1 2.9871 2.8548 3.9736 53 1 2.4863 4.4872 3.4729 54 1 2.7603 3.8422 1.0928 55 1 1.6019 2.7704 1.9172 RHF calculation, no. of doubly occupied orbitals= 75 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=WATER m_275030_14114070_12658636_16591380.mol2 55 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Fri Mar 5 2021 09:18:27 Heat of formation + Delta-G solvation = 256.447461 kcal Electronic energy + Delta-G solvation = -39197.708498 eV Core-core repulsion = 34371.132750 eV Total energy + Delta-G solvation = -4826.575748 eV No. of doubly occupied orbitals = 75 Molecular weight (most abundant/longest-lived isotopes) = 408.188 amu Computer time = 2.02 seconds Orbital eigenvalues (eV) -46.13451 -43.17460 -41.38536 -40.56681 -37.90874 -37.60932 -35.99307 -35.04917 -34.59513 -33.66364 -33.08140 -32.68895 -32.26040 -31.52360 -28.49356 -27.95281 -27.10074 -26.36304 -25.13551 -24.68725 -24.15540 -24.01777 -23.07404 -22.06413 -20.99851 -19.89293 -19.84743 -18.95156 -18.75629 -18.58710 -18.21190 -17.95377 -17.72525 -17.51200 -17.41016 -17.30080 -16.71846 -16.38510 -16.27700 -16.05752 -15.82655 -15.55817 -15.23475 -15.04279 -14.89956 -14.85363 -14.82205 -14.58259 -14.41208 -14.25001 -14.10890 -13.84013 -13.67659 -13.41170 -13.23031 -12.93586 -12.85219 -12.63666 -12.58172 -12.44743 -12.32182 -12.28235 -12.17997 -12.17072 -11.89973 -11.66236 -11.62247 -11.58559 -11.20237 -11.11404 -10.74385 -10.60283 -10.21954 -10.11588 -9.68472 -0.33388 -0.14133 -0.05110 0.67681 0.95693 1.06872 1.14884 1.27160 1.33843 1.62252 1.77683 1.80803 1.82636 1.85504 1.93455 2.24901 2.61875 2.69491 2.74361 2.91649 3.02489 3.16926 3.28132 3.30248 3.37260 3.47261 3.49232 3.56029 3.57500 3.80191 3.85094 3.87663 3.92090 3.96375 4.01774 4.03656 4.07304 4.15691 4.16981 4.17370 4.38526 4.40554 4.44213 4.48667 4.52374 4.56846 4.59401 4.64976 4.72181 4.74109 4.82143 4.89008 4.91392 4.97304 4.98409 5.10255 5.11302 5.17897 5.23386 5.36573 5.65455 5.80817 6.43138 6.56722 6.60112 6.60437 6.95163 Molecular weight = 408.19amu Principal moments of inertia in cm(-1) A = 0.009216 B = 0.001955 C = 0.001859 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3037.508512 B =14322.257737 C =15054.970284 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.195 4.195 2 C -0.220 4.220 3 C 0.209 3.791 4 N -0.585 5.585 5 C 0.608 3.392 6 O -0.528 6.528 7 C -0.054 4.054 8 N -0.341 5.341 9 O 0.102 5.898 10 C -0.031 4.031 11 C -0.208 4.208 12 C 0.131 3.869 13 C -0.165 4.165 14 C 0.014 3.986 15 N -0.376 5.376 16 H 0.430 0.570 17 C 0.054 3.946 18 C -0.127 4.127 19 C -0.062 4.062 20 C -0.001 4.001 21 C -0.201 4.201 22 C -0.158 4.158 23 C -0.104 4.104 24 C -0.120 4.120 25 C -0.051 4.051 26 O -0.544 6.544 27 Si 0.939 3.061 28 H -0.266 1.266 29 H -0.283 1.283 30 H -0.267 1.267 31 C -0.048 4.048 32 C 0.004 3.996 33 C -0.164 4.164 34 H 0.226 0.774 35 H 0.110 0.890 36 H 0.142 0.858 37 H 0.261 0.739 38 H 0.191 0.809 39 H 0.137 0.863 40 H 0.083 0.917 41 H 0.112 0.888 42 H 0.163 0.837 43 H 0.162 0.838 44 H 0.174 0.826 45 H 0.169 0.831 46 H 0.165 0.835 47 H 0.243 0.757 48 H 0.106 0.894 49 H 0.143 0.857 50 H 0.391 0.609 51 H 0.170 0.830 52 H 0.164 0.836 53 H 0.125 0.875 54 H 0.085 0.915 55 H 0.086 0.914 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 7.972 -7.628 5.869 12.498 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 -0.221 4.221 3 C 0.088 3.912 4 N -0.316 5.316 5 C 0.395 3.605 6 O -0.404 6.404 7 C -0.213 4.213 8 N -0.045 5.045 9 O 0.031 5.969 10 C -0.111 4.111 11 C -0.231 4.231 12 C 0.030 3.970 13 C -0.203 4.203 14 C -0.107 4.107 15 N 0.046 4.954 16 H 0.267 0.733 17 C -0.065 4.065 18 C -0.128 4.128 19 C -0.080 4.080 20 C -0.001 4.001 21 C -0.201 4.201 22 C -0.174 4.174 23 C -0.123 4.123 24 C -0.121 4.121 25 C -0.165 4.165 26 O -0.351 6.351 27 Si 0.768 3.232 28 H -0.190 1.190 29 H -0.209 1.209 30 H -0.192 1.192 31 C -0.066 4.066 32 C -0.119 4.119 33 C -0.203 4.203 34 H 0.243 0.757 35 H 0.127 0.873 36 H 0.160 0.840 37 H 0.276 0.724 38 H 0.208 0.792 39 H 0.155 0.845 40 H 0.102 0.898 41 H 0.130 0.870 42 H 0.181 0.819 43 H 0.180 0.820 44 H 0.192 0.808 45 H 0.187 0.813 46 H 0.183 0.817 47 H 0.260 0.740 48 H 0.123 0.877 49 H 0.160 0.840 50 H 0.240 0.760 51 H 0.188 0.812 52 H 0.181 0.819 53 H 0.143 0.857 54 H 0.104 0.896 55 H 0.104 0.896 Dipole moment (debyes) X Y Z Total from point charges 7.456 -7.589 6.534 12.485 hybrid contribution -1.391 1.562 -0.458 2.141 sum 6.065 -6.027 6.076 10.490 Atomic orbital electron populations 1.25630 0.97037 0.97639 1.01050 1.23723 0.95438 1.02382 1.00557 1.18974 0.83139 0.82615 1.06507 1.47819 1.63384 1.12944 1.07446 1.16947 0.76631 0.84880 0.82066 1.90687 1.48134 1.16335 1.85250 1.23879 1.06710 0.92535 0.98158 1.74341 1.16042 1.19023 0.95100 1.84819 1.61470 1.37433 1.13195 1.26862 0.97733 0.84089 1.02450 1.23051 1.06689 1.03873 0.89438 1.21825 0.94536 0.98037 0.82625 1.22472 0.95210 1.04773 0.97862 1.23862 0.98730 0.88293 0.99843 1.45523 1.14731 1.17589 1.17568 0.73329 1.22804 1.04163 0.93481 0.86075 1.19626 0.95358 0.95107 1.02696 1.21551 0.93389 0.97561 0.95503 1.16006 0.90465 0.94571 0.99062 1.20426 0.95487 1.03357 1.00809 1.25775 0.97182 0.97188 0.97281 1.21365 0.96250 0.97585 0.97062 1.20183 0.94540 0.97446 0.99916 1.24477 0.91565 0.97606 1.02869 1.86532 1.27836 1.94194 1.26508 0.85822 0.78137 0.79080 0.80132 1.19038 1.20873 1.19218 1.21419 0.99641 0.89791 0.95764 1.23779 0.80528 1.06643 1.00921 1.22418 1.01709 0.99213 0.96927 0.75712 0.87291 0.83996 0.72353 0.79185 0.84488 0.89803 0.87000 0.81918 0.82025 0.80825 0.81297 0.81718 0.74018 0.87650 0.83965 0.76004 0.81238 0.81862 0.85654 0.89612 0.89562 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 18. 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 -0.20 3.89 19.25 74.32 1.43 5.32 16 2 C -0.22 4.80 12.75 31.12 0.40 5.20 16 3 C 0.21 -5.95 5.52 84.57 0.47 -5.49 16 4 N -0.59 18.68 2.41 -810.63 -1.96 16.73 16 5 C 0.61 -14.96 7.03 86.93 0.61 -14.35 16 6 O -0.53 12.64 13.13 -3.68 -0.05 12.59 16 7 C -0.05 1.08 6.85 42.96 0.29 1.38 16 8 N -0.34 6.11 8.05 -49.51 -0.40 5.71 16 9 O 0.10 -1.90 11.18 71.91 0.80 -1.10 16 10 C -0.03 0.75 12.28 67.14 0.82 1.58 16 11 C -0.21 4.54 11.00 22.60 0.25 4.79 16 12 C 0.13 -5.72 2.64 45.09 0.12 -5.60 16 13 C -0.16 8.08 5.27 30.65 0.16 8.24 16 14 C 0.01 -0.83 5.12 86.33 0.44 -0.39 16 15 N -0.38 22.79 0.39 -901.33 -0.35 22.44 16 16 H 0.43 -25.83 8.23 -89.69 -0.74 -26.57 16 17 C 0.05 -3.29 4.81 85.56 0.41 -2.88 16 18 C -0.13 6.08 4.72 -19.90 -0.09 5.99 16 19 C -0.06 2.50 7.48 22.52 0.17 2.67 16 20 C 0.00 0.03 5.72 -21.41 -0.12 -0.09 16 21 C -0.20 4.42 13.22 30.05 0.40 4.82 16 22 C -0.16 3.47 19.23 74.35 1.43 4.90 16 23 C -0.10 2.71 8.37 22.52 0.19 2.90 16 24 C -0.12 3.80 5.39 -19.90 -0.11 3.70 16 25 C -0.05 1.43 2.82 71.24 0.20 1.63 16 26 O -0.54 14.29 12.76 -148.98 -1.90 12.39 16 27 Si 0.94 -18.26 25.07 68.60 1.72 -16.54 16 28 H -0.27 4.53 7.11 99.48 0.71 5.24 16 29 H -0.28 3.74 7.11 99.48 0.71 4.44 16 30 H -0.27 4.49 7.11 99.48 0.71 5.20 16 31 C -0.05 1.99 9.25 22.32 0.21 2.20 16 32 C 0.00 -0.21 4.66 86.33 0.40 0.19 16 33 C -0.16 7.23 5.27 30.65 0.16 7.40 16 34 H 0.23 -5.24 7.80 -4.40 -0.03 -5.27 16 35 H 0.11 -2.65 5.34 -2.38 -0.01 -2.66 16 36 H 0.14 -5.07 7.79 -2.39 -0.02 -5.09 16 37 H 0.26 -8.37 8.06 -2.91 -0.02 -8.40 16 38 H 0.19 -4.67 8.06 -2.91 -0.02 -4.69 16 39 H 0.14 -6.72 7.72 -2.39 -0.02 -6.73 16 40 H 0.08 -3.60 6.25 -2.39 -0.01 -3.62 16 41 H 0.11 -5.30 8.14 -2.39 -0.02 -5.32 16 42 H 0.16 -10.53 8.05 -2.38 -0.02 -10.55 16 43 H 0.16 -10.64 8.09 -2.39 -0.02 -10.66 16 44 H 0.17 -11.27 7.98 -2.39 -0.02 -11.29 16 45 H 0.17 -10.96 8.05 -2.39 -0.02 -10.98 16 46 H 0.17 -7.60 7.91 -2.91 -0.02 -7.63 16 47 H 0.24 -6.56 7.82 -4.31 -0.03 -6.60 16 48 H 0.11 -2.26 4.87 -2.91 -0.01 -2.27 16 49 H 0.14 -4.42 7.96 -2.39 -0.02 -4.43 16 50 H 0.39 -12.13 8.70 -74.06 -0.64 -12.78 16 51 H 0.17 -7.91 8.06 -2.91 -0.02 -7.94 16 52 H 0.16 -9.97 8.09 -2.39 -0.02 -9.99 16 53 H 0.13 -6.57 5.68 -2.39 -0.01 -6.59 16 54 H 0.09 -3.24 5.92 -2.39 -0.01 -3.25 16 55 H 0.09 -3.33 8.14 -2.38 -0.02 -3.35 16 Total: 1.00 -81.89 445.67 6.42 -75.47 By element: Atomic # 1 Polarization: -162.10 SS G_CDS: 0.32 Total: -161.78 kcal Atomic # 6 Polarization: 25.85 SS G_CDS: 8.24 Total: 34.09 kcal Atomic # 7 Polarization: 47.58 SS G_CDS: -2.70 Total: 44.88 kcal Atomic # 8 Polarization: 25.03 SS G_CDS: -1.15 Total: 23.88 kcal Atomic # 14 Polarization: -18.26 SS G_CDS: 1.72 Total: -16.54 kcal Total: -81.89 6.42 -75.47 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. m_275030_14114070_12658636_16591380.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 331.915 kcal (2) G-P(sol) polarization free energy of solvation -81.892 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 250.023 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy 6.425 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -75.468 kcal (6) G-S(sol) free energy of system = (1) + (5) 256.447 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 2.03 seconds