Wall clock time and date at job start Sat Apr 11 2020 06:11:31 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 1.52998 * 1 3 3 C 1.53000 * 109.47279 * 2 1 4 4 N 1.46504 * 109.47176 * 119.99722 * 2 1 3 5 5 C 1.46488 * 120.00062 * 296.60299 * 4 2 1 6 6 C 1.52997 * 109.47496 * 269.99860 * 5 4 2 7 7 N 1.46497 * 109.47650 * 180.02562 * 6 5 4 8 8 C 1.46504 * 120.00217 * 89.99995 * 7 6 5 9 9 C 1.36945 * 120.00109 * 270.00295 * 7 6 5 10 10 H 1.08001 * 119.99688 * 24.97617 * 9 7 6 11 11 C 1.38806 * 120.00170 * 204.97877 * 9 7 6 12 12 N 1.31620 * 120.00019 * 12.35745 * 11 9 7 13 13 Si 1.86798 * 120.00100 * 192.35568 * 11 9 7 14 14 H 1.48497 * 109.47273 * 0.02562 * 13 11 9 15 15 H 1.48509 * 109.47036 * 120.00050 * 13 11 9 16 16 H 1.48500 * 109.47121 * 240.00171 * 13 11 9 17 17 C 1.34774 * 119.99578 * 116.60442 * 4 2 1 18 18 O 1.21290 * 119.99957 * 184.29254 * 17 4 2 19 19 C 1.50703 * 120.00572 * 4.29162 * 17 4 2 20 20 H 1.09000 * 109.96096 * 307.07771 * 19 17 4 21 21 O 1.45177 * 110.46223 * 185.25479 * 19 17 4 22 22 C 1.43992 * 110.19851 * 240.70089 * 21 19 17 23 23 C 1.53992 * 104.53372 * 336.41306 * 22 21 19 24 24 H 1.09001 * 109.69821 * 281.28128 * 23 22 21 25 25 C 1.49773 * 111.45924 * 159.25677 * 23 22 21 26 26 O 1.42683 * 112.03564 * 293.08009 * 25 23 22 27 27 C 1.43267 * 112.51930 * 300.44345 * 26 25 23 28 28 C 1.52720 * 108.26092 * 65.61339 * 27 26 25 29 29 C 1.53117 * 110.62146 * 299.80647 * 28 27 26 30 30 H 1.09004 * 112.27856 * 283.01523 * 29 28 27 31 31 H 1.09000 * 109.47078 * 299.99973 * 1 2 3 32 32 H 1.09001 * 109.46537 * 59.99961 * 1 2 3 33 33 H 1.08998 * 109.46778 * 180.02562 * 1 2 3 34 34 H 1.09006 * 109.47440 * 239.99909 * 2 1 3 35 35 H 1.09005 * 109.47775 * 172.48772 * 3 2 1 36 36 H 1.09002 * 109.47355 * 292.48724 * 3 2 1 37 37 H 1.09005 * 109.47112 * 52.48401 * 3 2 1 38 38 H 1.09003 * 109.47277 * 29.99943 * 5 4 2 39 39 H 1.09004 * 109.47133 * 149.99851 * 5 4 2 40 40 H 1.09001 * 109.47344 * 300.00619 * 6 5 4 41 41 H 1.09004 * 109.46937 * 59.99871 * 6 5 4 42 42 H 1.08993 * 109.47110 * 89.16447 * 8 7 6 43 43 H 1.08996 * 109.46796 * 209.16591 * 8 7 6 44 44 H 1.08998 * 109.46435 * 329.15795 * 8 7 6 45 45 H 0.97002 * 120.00316 * 179.97438 * 12 11 9 46 46 H 1.08991 * 110.42136 * 217.64533 * 22 21 19 47 47 H 1.09003 * 110.52127 * 95.22080 * 22 21 19 48 48 H 1.09002 * 108.47034 * 172.69235 * 25 23 22 49 49 H 1.08990 * 109.30939 * 54.02935 * 25 23 22 50 50 H 1.09003 * 109.70309 * 185.30215 * 27 26 25 51 51 H 1.08993 * 109.70742 * 305.87650 * 27 26 25 52 52 H 1.09003 * 109.24818 * 60.10134 * 28 27 26 53 53 H 1.08998 * 109.24176 * 179.54966 * 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 2.0400 1.4425 0.0000 4 7 2.0183 -0.6906 1.1962 5 6 1.7269 -0.1481 2.5254 6 6 2.8414 0.8151 2.9389 7 7 2.5503 1.3571 4.2684 8 6 3.0390 0.6662 5.4642 9 6 1.8212 2.5096 4.3934 10 1 1.1348 2.8017 3.6124 11 6 1.9645 3.3023 5.5238 12 7 2.9616 3.0881 6.3557 13 14 0.7421 4.6732 5.8642 14 1 -0.2779 4.7061 4.7855 15 1 0.0751 4.4291 7.1684 16 1 1.4572 5.9740 5.9097 17 6 2.7358 -1.8249 1.0737 18 8 3.0736 -2.4387 2.0638 19 6 3.1183 -2.3307 -0.2934 20 1 2.2317 -2.4091 -0.9226 21 8 3.7757 -3.6211 -0.1915 22 6 5.1121 -3.5415 -0.7216 23 6 5.0725 -2.3459 -1.6914 24 1 4.6082 -2.6492 -2.6298 25 6 6.4449 -1.8054 -1.9512 26 8 7.0156 -1.2110 -0.7864 27 6 6.2291 -0.1242 -0.2836 28 6 4.8944 -0.6844 0.2031 29 6 4.1442 -1.3649 -0.9452 30 1 3.6745 -0.6453 -1.6158 31 1 -0.3633 0.5138 0.8900 32 1 -0.3632 0.5139 -0.8900 33 1 -0.3633 -1.0277 0.0005 34 1 1.8934 -0.5139 -0.8900 35 1 3.1218 1.4455 0.1344 36 1 1.7906 1.9161 -0.9495 37 1 1.5711 1.9937 0.8152 38 1 0.7766 0.3853 2.4998 39 1 1.6662 -0.9641 3.2456 40 1 3.7917 0.2818 2.9644 41 1 2.9021 1.6311 2.2187 42 1 4.0327 1.0361 5.7169 43 1 2.3593 0.8537 6.2954 44 1 3.0885 -0.4052 5.2700 45 1 3.0620 3.6423 7.1455 46 1 5.3642 -4.4570 -1.2566 47 1 5.8301 -3.3590 0.0779 48 1 6.3768 -1.0530 -2.7369 49 1 7.0923 -2.6139 -2.2908 50 1 6.7509 0.3545 0.5451 51 1 6.0560 0.6023 -1.0775 52 1 5.0769 -1.4118 0.9941 53 1 4.2855 0.1294 0.5970 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 ZINC001700973075.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 06:11:31 Heat of formation + Delta-G solvation = -91.135444 kcal Electronic energy + Delta-G solvation = -33267.530522 eV Core-core repulsion = 29140.616334 eV Total energy + Delta-G solvation = -4126.914188 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.79 seconds Orbital eigenvalues (eV) -41.47687 -39.37935 -37.66653 -36.57777 -35.41395 -33.35269 -32.23383 -32.01515 -31.06462 -29.59899 -27.78936 -27.18751 -25.78978 -25.67433 -24.18473 -23.65933 -22.81893 -21.52437 -20.46629 -19.84199 -18.62063 -17.66077 -17.00628 -16.54212 -16.50886 -16.17634 -15.70887 -15.42711 -15.10380 -14.94666 -14.50077 -14.20375 -14.09131 -13.76021 -13.59545 -13.34540 -13.18916 -13.11635 -12.91169 -12.65636 -12.30876 -12.24290 -12.19629 -12.15172 -11.89605 -11.77190 -11.50104 -11.22793 -11.06297 -10.98420 -10.85909 -10.83369 -10.73924 -10.50202 -10.44379 -10.23963 -10.12949 -9.91531 -9.75376 -9.70076 -9.17399 -8.65247 -8.36290 -6.67654 -5.72567 -3.20101 2.73251 2.96801 3.36430 3.43310 3.45198 3.63961 3.66670 3.91957 4.24776 4.34972 4.50355 4.64059 4.68654 4.71033 4.77115 4.95854 4.96663 5.05618 5.07332 5.15011 5.25986 5.28477 5.31876 5.38121 5.43597 5.51385 5.54229 5.56265 5.64952 5.71724 5.74155 5.78010 5.79841 5.84116 5.93388 6.07652 6.10544 6.23201 6.32564 6.37662 6.52992 6.67158 6.75012 6.89406 6.93639 7.00451 7.43441 7.64187 7.74340 7.81145 8.39221 8.44596 9.24561 9.88157 10.39530 11.33207 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.015231 B = 0.003456 C = 0.003284 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1837.931030 B = 8100.919412 C = 8523.995959 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.165 4.165 2 C 0.127 3.873 3 C -0.170 4.170 4 N -0.601 5.601 5 C 0.092 3.908 6 C 0.140 3.860 7 N -0.598 5.598 8 C 0.162 3.838 9 C -0.257 4.257 10 H 0.066 0.934 11 C 0.004 3.996 12 N -0.904 5.904 13 Si 0.902 3.098 14 H -0.278 1.278 15 H -0.289 1.289 16 H -0.290 1.290 17 C 0.507 3.493 18 O -0.520 6.520 19 C 0.066 3.934 20 H 0.101 0.899 21 O -0.356 6.356 22 C 0.058 3.942 23 C -0.155 4.155 24 H 0.095 0.905 25 C 0.073 3.927 26 O -0.373 6.373 27 C 0.061 3.939 28 C -0.170 4.170 29 C -0.102 4.102 30 H 0.105 0.895 31 H 0.067 0.933 32 H 0.065 0.935 33 H 0.056 0.944 34 H 0.083 0.917 35 H 0.064 0.936 36 H 0.063 0.937 37 H 0.075 0.925 38 H 0.074 0.926 39 H 0.075 0.925 40 H 0.034 0.966 41 H 0.052 0.948 42 H 0.022 0.978 43 H 0.048 0.952 44 H -0.002 1.002 45 H 0.252 0.748 46 H 0.088 0.912 47 H 0.072 0.928 48 H 0.052 0.948 49 H 0.097 0.903 50 H 0.100 0.900 51 H 0.054 0.946 52 H 0.085 0.915 53 H 0.093 0.907 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 2.022 -8.240 -21.923 23.507 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 -0.223 4.223 2 C 0.023 3.977 3 C -0.227 4.227 4 N -0.336 5.336 5 C -0.032 4.032 6 C 0.011 3.989 7 N -0.321 5.321 8 C 0.017 3.983 9 C -0.386 4.386 10 H 0.084 0.916 11 C -0.194 4.194 12 N -0.548 5.548 13 Si 0.732 3.268 14 H -0.203 1.203 15 H -0.216 1.216 16 H -0.217 1.217 17 C 0.293 3.707 18 O -0.395 6.395 19 C 0.005 3.995 20 H 0.118 0.882 21 O -0.273 6.273 22 C -0.019 4.019 23 C -0.174 4.174 24 H 0.113 0.887 25 C -0.005 4.005 26 O -0.292 6.292 27 C -0.015 4.015 28 C -0.208 4.208 29 C -0.121 4.121 30 H 0.123 0.877 31 H 0.086 0.914 32 H 0.084 0.916 33 H 0.075 0.925 34 H 0.101 0.899 35 H 0.083 0.917 36 H 0.082 0.918 37 H 0.094 0.906 38 H 0.093 0.907 39 H 0.093 0.907 40 H 0.052 0.948 41 H 0.070 0.930 42 H 0.040 0.960 43 H 0.067 0.933 44 H 0.017 0.983 45 H 0.062 0.938 46 H 0.106 0.894 47 H 0.090 0.910 48 H 0.071 0.929 49 H 0.115 0.885 50 H 0.118 0.882 51 H 0.073 0.927 52 H 0.103 0.897 53 H 0.111 0.889 Dipole moment (debyes) X Y Z Total from point charges 2.341 -8.749 -21.009 22.878 hybrid contribution -0.999 1.088 0.067 1.479 sum 1.342 -7.661 -20.942 22.340 Atomic orbital electron populations 1.22192 0.94893 1.02315 1.02945 1.21229 0.94699 0.94078 0.87689 1.22384 1.02104 0.95386 1.02848 1.48167 1.53413 1.24300 1.07755 1.22473 1.01038 0.98375 0.81287 1.21162 0.94340 0.94771 0.88601 1.43818 1.62920 1.25935 0.99422 1.20767 0.98652 0.89976 0.88859 1.19165 1.15917 0.98570 1.04965 0.91629 1.25055 0.97307 0.97939 0.99143 1.70083 1.29381 1.40823 1.14556 0.86233 0.80732 0.81887 0.77934 1.20345 1.21618 1.21739 1.20527 0.78455 0.80666 0.91013 1.90734 1.53280 1.56280 1.39200 1.23227 0.96926 0.84959 0.94399 0.88164 1.88860 1.26635 1.27648 1.84204 1.23356 0.85181 0.97521 0.95836 1.22511 0.97703 0.96628 1.00529 0.88706 1.21588 0.92768 0.97964 0.88151 1.88167 1.47806 1.48842 1.44345 1.22610 0.91457 0.88473 0.98976 1.22534 0.97552 1.02643 0.98052 1.22661 0.95191 0.97019 0.97226 0.87663 0.91373 0.91557 0.92477 0.89864 0.91739 0.91830 0.90630 0.90734 0.90676 0.94776 0.93002 0.95975 0.93325 0.98297 0.93775 0.89367 0.91016 0.92945 0.88514 0.88165 0.92726 0.89667 0.88917 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -0.17 -1.64 9.23 37.16 0.34 -1.29 16 2 C 0.13 1.34 2.59 -67.93 -0.18 1.16 16 3 C -0.17 -1.80 7.74 37.16 0.29 -1.51 16 4 N -0.60 -8.64 1.70 -166.11 -0.28 -8.92 16 5 C 0.09 1.67 5.15 -4.05 -0.02 1.65 16 6 C 0.14 2.88 5.45 -4.05 -0.02 2.86 16 7 N -0.60 -15.17 2.92 -181.12 -0.53 -15.70 16 8 C 0.16 4.21 8.98 59.85 0.54 4.75 16 9 C -0.26 -6.92 9.63 -15.06 -0.15 -7.06 16 10 H 0.07 1.70 7.86 -52.49 -0.41 1.29 16 11 C 0.00 0.12 5.06 -17.43 -0.09 0.03 16 12 N -0.90 -26.54 10.84 55.49 0.60 -25.94 16 13 Si 0.90 21.58 29.57 -169.99 -5.03 16.55 16 14 H -0.28 -6.42 7.11 56.52 0.40 -6.01 16 15 H -0.29 -7.01 7.11 56.52 0.40 -6.61 16 16 H -0.29 -7.00 7.11 56.52 0.40 -6.60 16 17 C 0.51 8.05 4.85 -10.99 -0.05 8.00 16 18 O -0.52 -10.82 15.80 -13.46 -0.21 -11.04 16 19 C 0.07 0.81 2.89 -26.69 -0.08 0.73 16 20 H 0.10 1.00 7.29 -51.93 -0.38 0.62 16 21 O -0.36 -5.05 10.71 -54.24 -0.58 -5.63 16 22 C 0.06 0.62 6.73 37.68 0.25 0.88 16 23 C -0.15 -1.28 3.04 -91.02 -0.28 -1.56 16 24 H 0.09 0.59 8.14 -51.93 -0.42 0.17 16 25 C 0.07 0.57 6.05 35.56 0.22 0.79 16 26 O -0.37 -4.16 10.52 -35.23 -0.37 -4.53 16 27 C 0.06 0.65 6.82 37.01 0.25 0.90 16 28 C -0.17 -2.04 3.95 -26.81 -0.11 -2.14 16 29 C -0.10 -0.97 2.70 -88.69 -0.24 -1.21 16 30 H 0.11 0.75 7.07 -51.93 -0.37 0.38 16 31 H 0.07 0.79 6.80 -51.93 -0.35 0.44 16 32 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 33 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 34 H 0.08 0.69 4.33 -51.93 -0.22 0.46 16 35 H 0.06 0.71 5.57 -51.93 -0.29 0.42 16 36 H 0.06 0.52 8.14 -51.93 -0.42 0.09 16 37 H 0.07 0.99 6.97 -51.93 -0.36 0.63 16 38 H 0.07 1.34 6.61 -51.93 -0.34 0.99 16 39 H 0.07 1.57 7.37 -51.93 -0.38 1.18 16 40 H 0.03 0.74 8.07 -51.93 -0.42 0.32 16 41 H 0.05 1.02 5.30 -51.93 -0.28 0.74 16 42 H 0.02 0.61 7.64 -51.93 -0.40 0.21 16 43 H 0.05 1.34 7.06 -51.93 -0.37 0.97 16 44 H 0.00 -0.04 8.08 -51.93 -0.42 -0.46 16 45 H 0.25 7.16 8.31 -40.82 -0.34 6.82 16 46 H 0.09 0.75 8.14 -51.93 -0.42 0.33 16 47 H 0.07 0.91 7.44 -51.93 -0.39 0.52 16 48 H 0.05 0.34 8.13 -51.93 -0.42 -0.09 16 49 H 0.10 0.61 8.14 -51.93 -0.42 0.19 16 50 H 0.10 1.09 8.14 -51.93 -0.42 0.67 16 51 H 0.05 0.47 8.11 -51.93 -0.42 0.05 16 52 H 0.08 1.33 6.31 -51.93 -0.33 1.00 16 53 H 0.09 1.19 4.52 -51.93 -0.23 0.95 16 LS Contribution 390.07 15.07 5.88 5.88 Total: -1.00 -33.71 390.07 -8.71 -42.42 By element: Atomic # 1 Polarization: 8.81 SS G_CDS: -8.88 Total: -0.06 kcal Atomic # 6 Polarization: 6.28 SS G_CDS: 0.69 Total: 6.97 kcal Atomic # 7 Polarization: -50.35 SS G_CDS: -0.21 Total: -50.56 kcal Atomic # 8 Polarization: -20.03 SS G_CDS: -1.16 Total: -21.19 kcal Atomic # 14 Polarization: 21.58 SS G_CDS: -5.03 Total: 16.55 kcal Total LS contribution 5.88 Total: 5.88 kcal Total: -33.71 -8.71 -42.42 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. ZINC001700973075.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 -48.718 kcal (2) G-P(sol) polarization free energy of solvation -33.706 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -82.423 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.712 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.418 kcal (6) G-S(sol) free energy of system = (1) + (5) -91.135 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.79 seconds