Wall clock time and date at job start Sat Apr 11 2020 06:09:49 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 1.53001 * 1 3 3 C 1.53004 * 109.46721 * 2 1 4 4 C 1.50701 * 109.47285 * 240.00088 * 2 1 3 5 5 H 1.08001 * 119.99758 * 239.99464 * 4 2 1 6 6 C 1.37875 * 119.99947 * 60.00186 * 4 2 1 7 7 N 1.31511 * 119.99968 * 359.97438 * 6 4 2 8 8 Si 1.86801 * 119.99926 * 180.02562 * 6 4 2 9 9 H 1.48507 * 109.47131 * 59.99411 * 8 6 4 10 10 H 1.48498 * 109.47075 * 179.97438 * 8 6 4 11 11 H 1.48502 * 109.46979 * 299.99719 * 8 6 4 12 12 C 1.53004 * 109.47201 * 119.99573 * 2 1 3 13 13 N 1.46494 * 109.47041 * 300.00418 * 12 2 1 14 14 C 1.34780 * 119.99486 * 179.97438 * 13 12 2 15 15 O 1.21587 * 120.00133 * 355.01327 * 14 13 12 16 16 N 1.34777 * 119.99955 * 175.01807 * 14 13 12 17 17 C 1.47161 * 120.98001 * 5.73132 * 16 14 13 18 18 C 1.53294 * 108.37997 * 129.48981 * 17 16 14 19 19 O 1.42956 * 109.23051 * 52.30242 * 18 17 16 20 20 C 1.42967 * 114.16362 * 297.42270 * 19 18 17 21 21 C 1.47153 * 120.98582 * 185.75545 * 16 14 13 22 22 H 1.08996 * 109.68113 * 110.74722 * 21 16 14 23 23 C 1.53003 * 109.67789 * 350.23456 * 21 16 14 24 24 C 1.53000 * 109.46984 * 180.49801 * 23 21 16 25 25 H 1.09000 * 110.55322 * 309.15823 * 24 23 21 26 26 C 1.54995 * 110.61655 * 186.27548 * 24 23 21 27 27 C 1.54817 * 102.09178 * 204.47914 * 26 24 23 28 28 C 1.54103 * 104.18647 * 20.87824 * 27 26 24 29 29 O 1.43747 * 107.42074 * 1.95884 * 28 27 26 30 30 H 1.08999 * 109.47142 * 299.99844 * 1 2 3 31 31 H 1.09001 * 109.47077 * 60.00493 * 1 2 3 32 32 H 1.08997 * 109.46701 * 180.02562 * 1 2 3 33 33 H 1.09002 * 109.46784 * 179.97438 * 3 2 1 34 34 H 1.08992 * 109.47178 * 299.99491 * 3 2 1 35 35 H 1.08999 * 109.47185 * 60.00183 * 3 2 1 36 36 H 0.97007 * 120.00238 * 180.02562 * 7 6 4 37 37 H 1.09001 * 109.46778 * 180.02562 * 12 2 1 38 38 H 1.08998 * 109.46436 * 60.00476 * 12 2 1 39 39 H 0.96993 * 120.00269 * 0.02562 * 13 12 2 40 40 H 1.08994 * 109.67855 * 249.20741 * 17 16 14 41 41 H 1.08997 * 109.67984 * 9.76739 * 17 16 14 42 42 H 1.09001 * 109.51289 * 172.22614 * 18 17 16 43 43 H 1.09001 * 109.51604 * 292.37289 * 18 17 16 44 44 H 1.09000 * 109.50644 * 302.64964 * 20 19 18 45 45 H 1.09004 * 109.51068 * 182.50101 * 20 19 18 46 46 H 1.09002 * 109.47281 * 60.50297 * 23 21 16 47 47 H 1.08994 * 109.47315 * 300.50270 * 23 21 16 48 48 H 1.08999 * 110.90572 * 86.28281 * 26 24 23 49 49 H 1.08999 * 110.94000 * 322.68642 * 26 24 23 50 50 H 1.09001 * 110.48611 * 262.21004 * 27 26 24 51 51 H 1.08992 * 110.48791 * 139.55813 * 27 26 24 52 52 H 1.09008 * 109.87404 * 121.45258 * 28 27 26 53 53 H 1.08995 * 109.88177 * 242.45538 * 28 27 26 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 2.0399 1.4426 0.0000 4 6 2.0324 -0.7104 -1.2305 5 1 2.6534 -1.5884 -1.1313 6 6 1.6994 -0.2393 -2.4827 7 7 0.9429 0.8297 -2.6034 8 14 2.3215 -1.1203 -4.0079 9 1 1.8260 -2.5202 -4.0077 10 1 1.8261 -0.4205 -5.2204 11 1 3.8065 -1.1208 -4.0081 12 6 2.0400 -0.7212 1.2493 13 7 1.5516 -0.0305 2.4454 14 6 1.8769 -0.4913 3.6695 15 8 2.4987 -1.5300 3.7827 16 7 1.5127 0.1992 4.7682 17 6 0.6541 1.3899 4.6644 18 6 -0.5064 1.2367 5.6542 19 8 0.0171 0.9426 6.9516 20 6 0.7380 -0.2897 7.0262 21 6 1.9622 -0.2148 6.1068 22 1 2.6716 0.5146 6.4977 23 6 2.6294 -1.5892 6.0240 24 6 3.0837 -2.0205 7.4199 25 1 3.6677 -1.2311 7.8931 26 6 3.9017 -3.3349 7.3458 27 6 3.7088 -3.9175 8.7671 28 6 2.4374 -3.2221 9.2910 29 8 1.9463 -2.3740 8.2394 30 1 -0.3633 0.5138 0.8900 31 1 -0.3633 0.5138 -0.8900 32 1 -0.3632 -1.0277 0.0005 33 1 3.1299 1.4426 0.0005 34 1 1.6767 1.9563 -0.8900 35 1 1.6766 1.9564 0.8900 36 1 0.7082 1.1610 -3.4844 37 1 3.1301 -0.7207 1.2495 38 1 1.6767 -1.7488 1.2492 39 1 0.9937 0.7578 2.3564 40 1 1.2313 2.2811 4.9105 41 1 0.2632 1.4733 3.6504 42 1 -1.0763 2.1651 5.6935 43 1 -1.1559 0.4234 5.3307 44 1 0.0929 -1.1086 6.7077 45 1 1.0633 -0.4596 8.0526 46 1 3.4933 -1.5345 5.3616 47 1 1.9172 -2.3159 5.6330 48 1 4.9537 -3.1278 7.1497 49 1 3.4921 -4.0066 6.5913 50 1 4.5638 -3.6748 9.3981 51 1 3.5619 -4.9965 8.7205 52 1 1.6853 -3.9686 9.5468 53 1 2.6778 -2.6225 10.1689 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 ZINC000895301180.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 06:09:49 Heat of formation + Delta-G solvation = -104.876811 kcal Electronic energy + Delta-G solvation = -31876.608533 eV Core-core repulsion = 27749.098474 eV Total energy + Delta-G solvation = -4127.510058 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.63 seconds Orbital eigenvalues (eV) -40.71329 -39.40853 -38.35256 -36.53771 -34.64365 -34.15731 -32.62801 -32.28583 -30.70214 -29.96300 -27.72907 -25.91494 -25.73977 -25.57603 -24.76539 -23.33284 -22.01712 -21.65390 -21.10619 -19.57731 -18.78761 -17.85936 -16.80358 -16.53489 -16.09041 -15.91723 -15.69179 -15.60448 -15.26708 -14.96826 -14.87234 -14.61275 -14.09441 -13.84545 -13.74182 -13.42188 -12.91072 -12.88985 -12.65884 -12.52447 -12.23003 -12.15970 -11.89067 -11.74166 -11.51847 -11.40477 -11.20072 -11.14884 -11.00144 -10.87378 -10.83588 -10.73225 -10.59862 -10.39786 -10.20974 -10.16490 -9.84642 -9.63922 -9.35077 -9.01023 -8.80530 -8.54191 -8.39597 -8.12101 -6.02868 -4.12920 2.79567 3.29550 3.33892 3.37605 3.52995 3.62677 3.85541 4.23824 4.41118 4.42108 4.56491 4.67635 4.74610 4.87284 4.91472 4.98484 5.04870 5.10136 5.17144 5.23923 5.33321 5.41743 5.47020 5.50980 5.53316 5.61744 5.62962 5.77018 5.78328 5.88799 5.97710 6.15152 6.18604 6.35245 6.39227 6.49300 6.68034 6.78956 6.79571 6.80521 6.90380 7.01842 7.05453 7.09845 7.22822 7.37143 7.54691 7.68730 7.99930 8.11121 8.35202 8.40274 8.86523 8.99718 9.52867 10.98582 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.016272 B = 0.002718 C = 0.002402 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1720.373467 B =10300.216613 C =11653.731708 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.130 4.130 2 C 0.057 3.943 3 C -0.130 4.130 4 C -0.506 4.506 5 H 0.057 0.943 6 C 0.067 3.933 7 N -0.887 5.887 8 Si 0.894 3.106 9 H -0.277 1.277 10 H -0.288 1.288 11 H -0.277 1.277 12 C 0.150 3.850 13 N -0.733 5.733 14 C 0.703 3.297 15 O -0.589 6.589 16 N -0.637 5.637 17 C 0.078 3.922 18 C 0.048 3.952 19 O -0.384 6.384 20 C 0.055 3.945 21 C 0.135 3.865 22 H 0.072 0.928 23 C -0.098 4.098 24 C 0.066 3.934 25 H 0.067 0.933 26 C -0.145 4.145 27 C -0.157 4.157 28 C 0.046 3.954 29 O -0.374 6.374 30 H 0.003 0.997 31 H 0.085 0.915 32 H 0.027 0.973 33 H 0.026 0.974 34 H 0.085 0.915 35 H 0.004 0.996 36 H 0.260 0.740 37 H 0.051 0.949 38 H 0.053 0.947 39 H 0.392 0.608 40 H 0.075 0.925 41 H 0.089 0.911 42 H 0.104 0.896 43 H 0.055 0.945 44 H 0.056 0.944 45 H 0.116 0.884 46 H 0.112 0.888 47 H 0.085 0.915 48 H 0.078 0.922 49 H 0.081 0.919 50 H 0.072 0.928 51 H 0.075 0.925 52 H 0.079 0.921 53 H 0.055 0.945 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 0.804 -1.077 21.613 21.655 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 -0.187 4.187 2 C 0.056 3.944 3 C -0.187 4.187 4 C -0.545 4.545 5 H 0.075 0.925 6 C -0.135 4.135 7 N -0.525 5.525 8 Si 0.722 3.278 9 H -0.203 1.203 10 H -0.213 1.213 11 H -0.203 1.203 12 C 0.027 3.973 13 N -0.389 5.389 14 C 0.405 3.595 15 O -0.469 6.469 16 N -0.376 5.376 17 C -0.046 4.046 18 C -0.030 4.030 19 O -0.302 6.302 20 C -0.022 4.022 21 C 0.031 3.969 22 H 0.090 0.910 23 C -0.135 4.135 24 C 0.008 3.992 25 H 0.085 0.915 26 C -0.183 4.183 27 C -0.194 4.194 28 C -0.031 4.031 29 O -0.294 6.294 30 H 0.022 0.978 31 H 0.104 0.896 32 H 0.046 0.954 33 H 0.046 0.954 34 H 0.104 0.896 35 H 0.023 0.977 36 H 0.071 0.929 37 H 0.070 0.930 38 H 0.071 0.929 39 H 0.229 0.771 40 H 0.093 0.907 41 H 0.107 0.893 42 H 0.122 0.878 43 H 0.074 0.926 44 H 0.074 0.926 45 H 0.133 0.867 46 H 0.130 0.870 47 H 0.104 0.896 48 H 0.097 0.903 49 H 0.099 0.901 50 H 0.091 0.909 51 H 0.093 0.907 52 H 0.098 0.902 53 H 0.073 0.927 Dipole moment (debyes) X Y Z Total from point charges 0.952 -1.534 21.607 21.682 hybrid contribution 0.291 -0.257 -1.083 1.150 sum 1.242 -1.790 20.524 20.640 Atomic orbital electron populations 1.21822 0.97837 0.99168 0.99902 1.18351 0.92739 0.92735 0.90563 1.21822 0.98585 0.98392 0.99933 1.20944 1.31535 1.12116 0.89870 0.92464 1.24873 0.94851 0.94915 0.98832 1.69791 1.36613 1.22768 1.23334 0.86632 0.79230 0.79807 0.82174 1.20276 1.21337 1.20281 1.21587 0.97731 0.95542 0.82432 1.45761 1.55389 1.33104 1.04667 1.16011 0.79925 0.83106 0.80445 1.90866 1.47130 1.23943 1.84941 1.47362 1.54479 1.30127 1.05673 1.22302 0.92766 0.88700 1.00861 1.22948 0.94601 1.01878 0.83603 1.87942 1.72044 1.40725 1.29518 1.23244 0.92078 0.85754 1.01164 1.21740 0.96193 0.97321 0.81633 0.91037 1.22223 1.03842 0.94962 0.92522 1.23530 0.87001 0.96152 0.92512 0.91523 1.23079 1.01092 0.97225 0.96924 1.22932 0.98313 1.01202 0.96990 1.23091 0.95773 0.93367 0.90902 1.88953 1.31582 1.67451 1.41399 0.97757 0.89596 0.95423 0.95446 0.89615 0.97700 0.92947 0.93027 0.92884 0.77131 0.90671 0.89311 0.87827 0.92634 0.92569 0.86673 0.87003 0.89606 0.90283 0.90061 0.90942 0.90668 0.90234 0.92686 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 -0.13 -2.91 8.08 37.16 0.30 -2.61 16 2 C 0.06 1.31 0.50 -155.65 -0.08 1.23 16 3 C -0.13 -2.90 8.08 37.16 0.30 -2.60 16 4 C -0.51 -13.18 8.01 -34.44 -0.28 -13.45 16 5 H 0.06 1.50 7.74 -52.49 -0.41 1.10 16 6 C 0.07 1.74 5.15 -17.82 -0.09 1.65 16 7 N -0.89 -23.47 9.35 55.43 0.52 -22.95 16 8 Si 0.89 20.63 29.54 -169.99 -5.02 15.61 16 9 H -0.28 -6.41 7.11 56.52 0.40 -6.01 16 10 H -0.29 -6.61 7.11 56.52 0.40 -6.21 16 11 H -0.28 -6.40 7.11 56.52 0.40 -6.00 16 12 C 0.15 3.18 4.51 -4.04 -0.02 3.16 16 13 N -0.73 -13.22 4.87 -65.23 -0.32 -13.54 16 14 C 0.70 12.43 8.23 -86.91 -0.72 11.72 16 15 O -0.59 -11.74 11.90 5.29 0.06 -11.68 16 16 N -0.64 -9.13 3.02 -170.43 -0.51 -9.64 16 17 C 0.08 0.90 6.57 -3.53 -0.02 0.88 16 18 C 0.05 0.51 6.98 37.31 0.26 0.77 16 19 O -0.38 -4.82 10.74 -35.23 -0.38 -5.20 16 20 C 0.05 0.67 5.17 37.31 0.19 0.87 16 21 C 0.14 1.75 3.20 -67.42 -0.22 1.53 16 22 H 0.07 0.88 8.14 -51.93 -0.42 0.45 16 23 C -0.10 -1.31 3.02 -26.73 -0.08 -1.39 16 24 C 0.07 0.70 3.08 -25.68 -0.08 0.62 16 25 H 0.07 0.64 8.14 -51.93 -0.42 0.22 16 26 C -0.15 -1.39 6.59 -24.72 -0.16 -1.55 16 27 C -0.16 -1.20 7.01 -25.20 -0.18 -1.38 16 28 C 0.05 0.38 7.69 37.73 0.29 0.67 16 29 O -0.37 -4.14 8.47 -35.23 -0.30 -4.44 16 30 H 0.00 0.07 6.86 -51.93 -0.36 -0.29 16 31 H 0.09 2.13 6.07 -51.93 -0.32 1.81 16 32 H 0.03 0.62 8.14 -51.93 -0.42 0.19 16 33 H 0.03 0.61 8.14 -51.93 -0.42 0.18 16 34 H 0.09 2.12 6.07 -51.93 -0.32 1.80 16 35 H 0.00 0.08 6.86 -51.93 -0.36 -0.28 16 36 H 0.26 6.68 8.31 -40.82 -0.34 6.34 16 37 H 0.05 1.15 8.14 -51.93 -0.42 0.72 16 38 H 0.05 1.19 8.14 -51.93 -0.42 0.77 16 39 H 0.39 6.47 3.73 -40.82 -0.15 6.31 16 40 H 0.08 0.80 8.14 -51.93 -0.42 0.38 16 41 H 0.09 1.00 5.79 -51.93 -0.30 0.70 16 42 H 0.10 0.85 8.14 -51.93 -0.42 0.43 16 43 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 44 H 0.06 0.75 8.14 -51.93 -0.42 0.33 16 45 H 0.12 1.33 6.23 -51.93 -0.32 1.01 16 46 H 0.11 1.71 6.31 -51.93 -0.33 1.38 16 47 H 0.09 1.37 7.24 -51.93 -0.38 0.99 16 48 H 0.08 0.68 8.14 -51.93 -0.42 0.26 16 49 H 0.08 0.88 8.06 -51.93 -0.42 0.46 16 50 H 0.07 0.47 8.14 -51.93 -0.42 0.04 16 51 H 0.07 0.53 8.14 -51.93 -0.42 0.10 16 52 H 0.08 0.60 8.14 -51.92 -0.42 0.18 16 53 H 0.05 0.40 8.14 -51.93 -0.42 -0.02 16 LS Contribution 392.47 15.07 5.91 5.91 Total: -1.00 -28.49 392.47 -9.73 -38.22 By element: Atomic # 1 Polarization: 16.69 SS G_CDS: -9.12 Total: 7.57 kcal Atomic # 6 Polarization: 0.69 SS G_CDS: -0.57 Total: 0.12 kcal Atomic # 7 Polarization: -45.82 SS G_CDS: -0.31 Total: -46.13 kcal Atomic # 8 Polarization: -20.70 SS G_CDS: -0.61 Total: -21.31 kcal Atomic # 14 Polarization: 20.63 SS G_CDS: -5.02 Total: 15.61 kcal Total LS contribution 5.91 Total: 5.91 kcal Total: -28.49 -9.73 -38.22 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. ZINC000895301180.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 -66.653 kcal (2) G-P(sol) polarization free energy of solvation -28.491 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -95.145 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.732 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.223 kcal (6) G-S(sol) free energy of system = (1) + (5) -104.877 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.63 seconds