Wall clock time and date at job start Sat Apr 11 2020 06:11:33 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 1.52999 * 1 3 3 H 1.09003 * 109.47059 * 2 1 4 4 C 1.52996 * 109.47184 * 119.99986 * 2 1 3 5 5 O 1.42898 * 109.47308 * 293.77397 * 4 2 1 6 6 C 1.53003 * 109.47063 * 240.00143 * 2 1 3 7 7 H 1.09001 * 109.70291 * 53.69983 * 6 2 1 8 8 C 1.53188 * 109.58775 * 293.34545 * 6 2 1 9 9 C 1.53038 * 109.31313 * 185.58011 * 8 6 2 10 10 C 1.53041 * 109.54074 * 61.36316 * 9 8 6 11 11 C 1.53197 * 109.31087 * 298.63732 * 10 9 8 12 12 N 1.46922 * 108.77609 * 54.63162 * 11 10 9 13 13 C 1.34777 * 120.62984 * 126.11719 * 12 11 10 14 14 O 1.21348 * 120.00488 * 174.47318 * 13 12 11 15 15 C 1.49453 * 119.99782 * 354.47346 * 13 12 11 16 16 O 1.21353 * 120.00089 * 6.10847 * 15 13 12 17 17 N 1.34783 * 119.99870 * 186.11604 * 15 13 12 18 18 C 1.46502 * 119.99796 * 179.97438 * 17 15 13 19 19 C 1.52998 * 109.46793 * 179.97438 * 18 17 15 20 20 C 1.52997 * 109.47145 * 299.99645 * 19 18 17 21 21 C 1.52997 * 109.47005 * 60.00230 * 19 18 17 22 22 C 1.50702 * 109.46926 * 179.97438 * 19 18 17 23 23 H 1.08008 * 119.99809 * 359.97438 * 22 19 18 24 24 C 1.37877 * 120.00002 * 179.97438 * 22 19 18 25 25 N 1.31515 * 119.99879 * 359.97438 * 24 22 19 26 26 Si 1.86803 * 119.99824 * 180.02562 * 24 22 19 27 27 H 1.48492 * 109.47308 * 0.02562 * 26 24 22 28 28 H 1.48492 * 109.47008 * 120.00157 * 26 24 22 29 29 H 1.48504 * 109.46825 * 240.00042 * 26 24 22 30 30 H 1.09000 * 109.47233 * 305.07573 * 1 2 3 31 31 H 1.09008 * 109.47285 * 65.07353 * 1 2 3 32 32 H 1.08995 * 109.46911 * 185.06976 * 1 2 3 33 33 H 1.09001 * 109.46678 * 53.77581 * 4 2 1 34 34 H 1.08998 * 109.47266 * 173.77005 * 4 2 1 35 35 H 0.96698 * 114.00303 * 180.02562 * 5 4 2 36 36 H 1.08998 * 109.49816 * 65.62520 * 8 6 2 37 37 H 1.09006 * 109.52347 * 305.54307 * 8 6 2 38 38 H 1.09000 * 109.45959 * 301.33778 * 9 8 6 39 39 H 1.09001 * 109.46239 * 181.38704 * 9 8 6 40 40 H 1.08997 * 109.49794 * 178.68433 * 10 9 8 41 41 H 1.09006 * 109.49654 * 58.58760 * 10 9 8 42 42 H 1.09000 * 109.58508 * 294.84471 * 11 10 9 43 43 H 1.08993 * 109.69937 * 174.49323 * 11 10 9 44 44 H 0.96993 * 119.99727 * 359.97438 * 17 15 13 45 45 H 1.09003 * 109.46891 * 299.99895 * 18 17 15 46 46 H 1.09000 * 109.46981 * 59.99749 * 18 17 15 47 47 H 1.09001 * 109.47013 * 60.00514 * 20 19 18 48 48 H 1.09002 * 109.46945 * 179.97438 * 20 19 18 49 49 H 1.09000 * 109.47446 * 300.00530 * 20 19 18 50 50 H 1.09003 * 109.47446 * 60.00002 * 21 19 18 51 51 H 1.09003 * 109.46931 * 180.02562 * 21 19 18 52 52 H 1.09001 * 109.47177 * 299.99500 * 21 19 18 53 53 H 0.96997 * 119.99536 * 179.97438 * 25 24 22 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 1 1.8933 1.0277 0.0000 4 6 2.0400 -0.7212 1.2492 5 8 1.6867 0.0314 2.4114 6 6 2.0400 -0.7212 -1.2493 7 1 1.5897 -0.2795 -2.1382 8 6 1.6720 -2.2062 -1.1712 9 6 2.3034 -2.9469 -2.3522 10 6 3.8269 -2.8224 -2.2790 11 6 4.2194 -1.3443 -2.3697 12 7 3.5022 -0.5997 -1.3257 13 6 4.1734 0.1756 -0.4512 14 8 3.5645 0.8633 0.3418 15 6 5.6679 0.1883 -0.4580 16 8 6.2759 -0.4114 -1.3202 17 7 6.3404 0.8657 0.4936 18 6 7.8053 0.8778 0.4872 19 6 8.3135 1.7128 1.6642 20 6 7.7913 3.1452 1.5364 21 6 7.8142 1.1029 2.9755 22 6 9.8205 1.7247 1.6580 23 1 10.3616 1.1897 0.8915 24 6 10.5084 2.4185 2.6309 25 7 9.8495 3.0703 3.5639 26 14 12.3764 2.4337 2.6228 27 1 12.8730 1.6315 1.4762 28 1 12.8594 3.8320 2.4941 29 1 12.8816 1.8503 3.8916 30 1 -0.3634 0.5906 0.8410 31 1 -0.3634 0.4331 -0.9320 32 1 -0.3633 -1.0236 0.0908 33 1 1.5885 -1.7117 1.3066 34 1 3.1243 -0.8188 1.1952 35 1 1.9794 -0.3674 3.2423 36 1 0.5882 -2.3150 -1.2109 37 1 2.0457 -2.6255 -0.2370 38 1 1.9478 -2.5114 -3.2860 39 1 2.0227 -3.9994 -2.3127 40 1 4.2769 -3.3697 -3.1073 41 1 4.1808 -3.2355 -1.3344 42 1 3.9468 -0.9534 -3.3500 43 1 5.2940 -1.2397 -2.2205 44 1 5.8544 1.3453 1.1825 45 1 8.1774 -0.1428 0.5778 46 1 8.1610 1.3126 -0.4468 47 1 6.7013 3.1363 1.5411 48 1 8.1530 3.7400 2.3752 49 1 8.1470 3.5797 0.6022 50 1 8.1864 0.0824 3.0665 51 1 8.1759 1.6981 3.8140 52 1 6.7243 1.0940 2.9802 53 1 10.3335 3.5580 4.2485 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 ZINC000597342548.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 06:11:33 Heat of formation + Delta-G solvation = -87.875721 kcal Electronic energy + Delta-G solvation = -32348.883961 eV Core-core repulsion = 28222.111125 eV Total energy + Delta-G solvation = -4126.772836 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.80 seconds Orbital eigenvalues (eV) -41.41586 -39.23880 -37.62780 -36.90564 -36.44909 -34.09712 -33.60757 -32.78808 -30.94047 -29.65631 -26.94960 -26.23242 -25.75043 -25.57157 -24.99346 -24.09475 -22.76216 -20.90183 -20.56876 -19.41350 -18.74787 -17.58282 -17.27608 -16.58084 -16.21569 -15.98292 -15.45501 -15.34872 -14.93620 -14.79450 -14.69693 -14.37816 -14.14808 -13.74559 -13.63237 -13.43584 -13.10271 -12.95867 -12.72482 -12.62533 -12.57458 -12.25359 -12.07700 -11.87204 -11.57538 -11.43575 -11.24082 -11.18214 -11.03882 -10.92154 -10.81242 -10.68119 -10.54621 -10.43334 -10.22182 -9.84398 -9.71812 -9.68671 -9.43729 -8.84242 -8.73828 -8.63718 -8.51834 -8.40276 -6.05122 -4.16076 1.60242 2.47747 3.25258 3.34155 3.37816 3.39486 3.69651 4.20477 4.36741 4.49539 4.53001 4.69592 4.70699 4.87451 4.99455 5.05529 5.15551 5.21705 5.23978 5.36323 5.44142 5.53431 5.55914 5.65180 5.70594 5.75796 5.78791 5.83953 5.95699 6.00394 6.06663 6.13166 6.15557 6.18935 6.23880 6.43680 6.58802 6.70633 6.82209 6.86403 6.94461 6.97224 7.13912 7.30532 7.52350 7.59082 7.67495 7.74980 7.97390 7.98649 8.10546 8.29904 8.38277 8.84417 9.50149 10.96274 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.017921 B = 0.002903 C = 0.002624 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1562.063780 B = 9643.105049 C =10668.055060 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.145 4.145 2 C -0.105 4.105 3 H 0.129 0.871 4 C 0.097 3.903 5 O -0.564 6.564 6 C 0.150 3.850 7 H 0.080 0.920 8 C -0.136 4.136 9 C -0.122 4.122 10 C -0.132 4.132 11 C 0.041 3.959 12 N -0.579 5.579 13 C 0.500 3.500 14 O -0.500 6.500 15 C 0.496 3.504 16 O -0.525 6.525 17 N -0.675 5.675 18 C 0.126 3.874 19 C 0.056 3.944 20 C -0.134 4.134 21 C -0.133 4.133 22 C -0.508 4.508 23 H 0.059 0.941 24 C 0.067 3.933 25 N -0.884 5.884 26 Si 0.894 3.106 27 H -0.273 1.273 28 H -0.284 1.284 29 H -0.284 1.284 30 H 0.063 0.937 31 H 0.050 0.950 32 H 0.048 0.952 33 H 0.027 0.973 34 H 0.045 0.955 35 H 0.373 0.627 36 H 0.076 0.924 37 H 0.070 0.930 38 H 0.062 0.938 39 H 0.063 0.937 40 H 0.074 0.926 41 H 0.064 0.936 42 H 0.062 0.938 43 H 0.168 0.832 44 H 0.412 0.588 45 H 0.062 0.938 46 H 0.063 0.937 47 H 0.009 0.991 48 H 0.087 0.913 49 H 0.027 0.973 50 H 0.027 0.973 51 H 0.087 0.913 52 H 0.008 0.992 53 H 0.260 0.740 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -17.141 -10.215 -8.607 21.731 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 -0.203 4.203 2 C -0.123 4.123 3 H 0.146 0.854 4 C 0.019 3.981 5 O -0.368 6.368 6 C 0.048 3.952 7 H 0.098 0.902 8 C -0.174 4.174 9 C -0.160 4.160 10 C -0.170 4.170 11 C -0.079 4.079 12 N -0.313 5.313 13 C 0.284 3.716 14 O -0.376 6.376 15 C 0.277 3.723 16 O -0.406 6.406 17 N -0.325 5.325 18 C 0.005 3.995 19 C 0.055 3.945 20 C -0.191 4.191 21 C -0.190 4.190 22 C -0.546 4.546 23 H 0.077 0.923 24 C -0.135 4.135 25 N -0.522 5.522 26 Si 0.722 3.278 27 H -0.197 1.197 28 H -0.210 1.210 29 H -0.211 1.211 30 H 0.082 0.918 31 H 0.069 0.931 32 H 0.067 0.933 33 H 0.045 0.955 34 H 0.063 0.937 35 H 0.218 0.782 36 H 0.095 0.905 37 H 0.088 0.912 38 H 0.081 0.919 39 H 0.082 0.918 40 H 0.093 0.907 41 H 0.083 0.917 42 H 0.080 0.920 43 H 0.183 0.817 44 H 0.250 0.750 45 H 0.081 0.919 46 H 0.081 0.919 47 H 0.028 0.972 48 H 0.106 0.894 49 H 0.046 0.954 50 H 0.046 0.954 51 H 0.106 0.894 52 H 0.027 0.973 53 H 0.070 0.930 Dipole moment (debyes) X Y Z Total from point charges -17.232 -9.727 -9.059 21.762 hybrid contribution 0.886 -0.348 0.602 1.127 sum -16.345 -10.076 -8.457 20.981 Atomic orbital electron populations 1.21880 0.95273 1.01366 1.01763 1.21863 0.94999 1.04158 0.91321 0.85375 1.22341 0.98175 0.91932 0.85612 1.86464 1.81838 1.52443 1.16072 1.21440 0.79218 0.95795 0.98797 0.90241 1.22104 1.01038 0.94721 0.99524 1.21569 0.95908 1.00247 0.98242 1.21883 0.95596 0.96862 1.02640 1.23477 1.04708 0.90177 0.89575 1.47988 1.06788 1.45329 1.31226 1.20303 0.88761 0.81180 0.81398 1.90809 1.67534 1.40656 1.38612 1.20217 0.88208 0.80819 0.83084 1.90179 1.69113 1.44351 1.36916 1.46262 1.09671 1.48438 1.28134 1.21978 0.74955 1.01190 1.01406 1.18379 0.95561 0.91210 0.89300 1.21855 0.95458 0.99752 1.02068 1.21850 0.95385 0.99682 1.02122 1.20986 0.89732 1.31749 1.12162 0.92293 1.24884 0.98370 0.94984 0.95246 1.69817 1.34840 1.32661 1.14873 0.86505 0.85602 0.77767 0.77947 1.19749 1.21043 1.21051 0.91757 0.93057 0.93343 0.95496 0.93652 0.78155 0.90529 0.91165 0.91878 0.91837 0.90723 0.91709 0.92009 0.81658 0.75030 0.91922 0.91882 0.97237 0.89432 0.95350 0.95402 0.89439 0.97337 0.92971 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -0.15 -1.45 8.72 37.16 0.32 -1.12 16 2 C -0.11 -1.26 1.86 -90.62 -0.17 -1.43 16 3 H 0.13 1.92 5.60 -53.63 -0.30 1.62 16 4 C 0.10 1.21 4.51 37.16 0.17 1.38 16 5 O -0.56 -7.49 13.34 -36.28 -0.48 -7.97 16 6 C 0.15 1.58 2.65 -67.60 -0.18 1.40 16 7 H 0.08 0.77 8.14 -51.93 -0.42 0.35 16 8 C -0.14 -1.17 4.67 -26.61 -0.12 -1.29 16 9 C -0.12 -0.96 5.88 -26.69 -0.16 -1.11 16 10 C -0.13 -1.21 6.08 -26.61 -0.16 -1.38 16 11 C 0.04 0.46 6.29 -3.71 -0.02 0.44 16 12 N -0.58 -7.16 2.93 -165.73 -0.49 -7.64 16 13 C 0.50 7.47 6.24 -11.58 -0.07 7.40 16 14 O -0.50 -8.08 10.47 4.45 0.05 -8.03 16 15 C 0.50 8.28 7.81 -11.58 -0.09 8.19 16 16 O -0.52 -9.21 13.02 5.49 0.07 -9.14 16 17 N -0.67 -12.00 4.95 -60.72 -0.30 -12.30 16 18 C 0.13 2.55 4.50 -4.04 -0.02 2.53 16 19 C 0.06 1.27 0.50 -155.66 -0.08 1.20 16 20 C -0.13 -3.02 8.08 37.16 0.30 -2.72 16 21 C -0.13 -2.96 8.08 37.16 0.30 -2.66 16 22 C -0.51 -12.95 8.01 -34.44 -0.28 -13.23 16 23 H 0.06 1.51 7.74 -52.48 -0.41 1.10 16 24 C 0.07 1.73 5.15 -17.82 -0.09 1.63 16 25 N -0.88 -23.33 9.35 55.43 0.52 -22.81 16 26 Si 0.89 20.36 29.54 -169.99 -5.02 15.34 16 27 H -0.27 -6.19 7.11 56.52 0.40 -5.78 16 28 H -0.28 -6.50 7.11 56.52 0.40 -6.10 16 29 H -0.28 -6.49 7.11 56.52 0.40 -6.09 16 30 H 0.06 0.72 7.99 -51.93 -0.41 0.30 16 31 H 0.05 0.45 8.14 -51.92 -0.42 0.02 16 32 H 0.05 0.42 7.01 -51.93 -0.36 0.06 16 33 H 0.03 0.30 6.60 -51.93 -0.34 -0.05 16 34 H 0.05 0.64 5.25 -51.93 -0.27 0.37 16 35 H 0.37 3.52 9.12 45.56 0.42 3.94 16 36 H 0.08 0.56 7.03 -51.93 -0.36 0.20 16 37 H 0.07 0.67 6.17 -51.93 -0.32 0.35 16 38 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 39 H 0.06 0.44 8.14 -51.93 -0.42 0.02 16 40 H 0.07 0.60 8.14 -51.93 -0.42 0.17 16 41 H 0.06 0.66 8.14 -51.93 -0.42 0.24 16 42 H 0.06 0.63 8.14 -51.93 -0.42 0.21 16 43 H 0.17 2.27 3.69 -57.23 -0.21 2.06 16 44 H 0.41 7.31 5.65 -40.82 -0.23 7.08 16 45 H 0.06 1.29 8.14 -51.93 -0.42 0.86 16 46 H 0.06 1.30 8.14 -51.93 -0.42 0.88 16 47 H 0.01 0.18 6.86 -51.93 -0.36 -0.18 16 48 H 0.09 2.19 6.07 -51.93 -0.32 1.88 16 49 H 0.03 0.63 8.14 -51.93 -0.42 0.20 16 50 H 0.03 0.60 8.14 -51.93 -0.42 0.18 16 51 H 0.09 2.17 6.07 -51.93 -0.32 1.86 16 52 H 0.01 0.16 6.86 -51.93 -0.36 -0.20 16 53 H 0.26 6.63 8.31 -40.82 -0.34 6.29 16 LS Contribution 389.54 15.07 5.87 5.87 Total: -1.00 -27.51 389.54 -8.07 -35.59 By element: Atomic # 1 Polarization: 19.81 SS G_CDS: -7.94 Total: 11.87 kcal Atomic # 6 Polarization: -0.43 SS G_CDS: -0.35 Total: -0.78 kcal Atomic # 7 Polarization: -42.49 SS G_CDS: -0.27 Total: -42.75 kcal Atomic # 8 Polarization: -24.77 SS G_CDS: -0.37 Total: -25.14 kcal Atomic # 14 Polarization: 20.36 SS G_CDS: -5.02 Total: 15.34 kcal Total LS contribution 5.87 Total: 5.87 kcal Total: -27.51 -8.07 -35.59 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. ZINC000597342548.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 -52.287 kcal (2) G-P(sol) polarization free energy of solvation -27.514 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -79.801 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.074 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -35.589 kcal (6) G-S(sol) free energy of system = (1) + (5) -87.876 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.80 seconds