Wall clock time and date at job start Tue Mar 31 2020 21:12:26 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 N 2 2 C 1.31616 * 1 3 3 Si 1.86805 * 120.00281 * 2 1 4 4 H 1.48492 * 109.47249 * 266.09277 * 3 2 1 5 5 H 1.48504 * 109.46904 * 26.09233 * 3 2 1 6 6 H 1.48497 * 109.47193 * 146.09189 * 3 2 1 7 7 C 1.38814 * 120.00161 * 179.97438 * 2 1 3 8 8 H 1.07997 * 119.99539 * 339.48657 * 7 2 1 9 9 N 1.36937 * 120.00201 * 159.48021 * 7 2 1 10 10 C 1.47417 * 125.64956 * 147.45084 * 9 7 2 11 11 C 1.54905 * 104.83421 * 204.16414 * 10 9 7 12 12 C 1.55403 * 101.66618 * 323.07406 * 11 10 9 13 13 C 1.47026 * 125.64672 * 327.48911 * 9 7 2 14 14 H 1.09002 * 109.88135 * 59.33193 * 13 9 7 15 15 C 1.53000 * 109.88095 * 298.32122 * 13 9 7 16 16 H 1.08998 * 109.59012 * 53.21340 * 15 13 9 17 17 C 1.53189 * 109.58719 * 292.92039 * 15 13 9 18 18 C 1.53044 * 109.31048 * 185.43780 * 17 15 13 19 19 C 1.53037 * 109.54110 * 61.36783 * 18 17 15 20 20 C 1.53192 * 109.31195 * 298.63850 * 19 18 17 21 21 N 1.46923 * 108.77818 * 54.63102 * 20 19 18 22 22 C 1.34773 * 120.62810 * 126.41797 * 21 20 19 23 23 O 1.21287 * 119.99554 * 183.27549 * 22 21 20 24 24 C 1.50696 * 120.00411 * 3.27444 * 22 21 20 25 25 C 1.52998 * 115.54891 * 279.71511 * 24 22 21 26 26 C 1.53005 * 109.46974 * 293.86393 * 25 24 22 27 27 F 1.39901 * 109.47209 * 184.77117 * 26 25 24 28 28 C 1.52998 * 117.50126 * 134.00213 * 24 22 21 29 29 C 1.53003 * 117.49976 * 65.37730 * 24 22 21 30 30 H 0.97003 * 119.99486 * 0.02562 * 1 2 3 31 31 H 1.09005 * 110.36792 * 323.00164 * 10 9 7 32 32 H 1.08994 * 110.37098 * 85.21182 * 10 9 7 33 33 H 1.09001 * 111.00663 * 81.05999 * 11 10 9 34 34 H 1.08995 * 111.00977 * 204.87388 * 11 10 9 35 35 H 1.09007 * 110.69252 * 277.04631 * 12 11 10 36 36 H 1.09000 * 110.85499 * 153.69740 * 12 11 10 37 37 H 1.08999 * 109.49803 * 65.49136 * 17 15 13 38 38 H 1.09001 * 109.50026 * 305.39021 * 17 15 13 39 39 H 1.08999 * 109.45961 * 301.34686 * 18 17 15 40 40 H 1.09003 * 109.44845 * 181.38266 * 18 17 15 41 41 H 1.09002 * 109.49315 * 58.58321 * 19 18 17 42 42 H 1.09001 * 109.49944 * 178.67911 * 19 18 17 43 43 H 1.08996 * 109.58336 * 174.42284 * 20 19 18 44 44 H 1.09011 * 109.58340 * 294.84392 * 20 19 18 45 45 H 1.08992 * 109.47569 * 53.86516 * 25 24 22 46 46 H 1.09006 * 109.47166 * 173.87205 * 25 24 22 47 47 H 1.08995 * 109.47464 * 304.77521 * 26 25 24 48 48 H 1.09002 * 109.46795 * 64.77373 * 26 25 24 49 49 H 1.08999 * 117.49916 * 0.02562 * 28 24 22 50 50 H 1.09000 * 117.49948 * 145.01846 * 28 24 22 51 51 H 1.08997 * 117.50319 * 214.97826 * 29 24 22 52 52 H 1.09002 * 117.49504 * 359.97438 * 29 24 22 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 7 0.0000 0.0000 0.0000 2 6 1.3162 0.0000 0.0000 3 14 2.2503 1.6177 0.0000 4 1 2.5804 1.9987 -1.3967 5 1 1.4088 2.6751 0.6158 6 1 3.5040 1.4654 0.7810 7 6 2.0103 -1.2021 0.0005 8 1 1.5216 -2.1076 0.3287 9 7 3.3145 -1.2400 -0.4151 10 6 4.3562 -2.1441 0.1050 11 6 5.6930 -1.4175 -0.1852 12 6 5.4009 -0.7603 -1.5628 13 6 3.9079 -0.3850 -1.4536 14 1 3.8088 0.6634 -1.1720 15 6 3.2100 -0.6321 -2.7925 16 1 2.1331 -0.5166 -2.6701 17 6 3.5224 -2.0502 -3.2805 18 6 2.9353 -2.2445 -4.6804 19 6 3.5783 -1.2483 -5.6480 20 6 3.2667 0.1790 -5.1868 21 7 3.6981 0.3296 -3.7904 22 6 4.5255 1.3312 -3.4317 23 8 4.9218 1.4101 -2.2881 24 6 4.9582 2.3530 -4.4513 25 6 6.0947 1.9191 -5.3791 26 6 7.3769 1.7370 -4.5643 27 9 8.4399 1.4466 -5.4262 28 6 4.9028 3.8263 -4.0425 29 6 3.8804 3.2688 -5.0350 30 1 -0.4849 0.8401 -0.0004 31 1 4.2296 -2.2914 1.1777 32 1 4.3220 -3.1013 -0.4151 33 1 5.8982 -0.6598 0.5711 34 1 6.5165 -2.1280 -0.2568 35 1 5.5612 -1.4734 -2.3715 36 1 6.0129 0.1303 -1.7055 37 1 3.0810 -2.7756 -2.5970 38 1 4.6024 -2.1932 -3.3158 39 1 1.8587 -2.0771 -4.6491 40 1 3.1350 -3.2609 -5.0199 41 1 4.6578 -1.3989 -5.6609 42 1 3.1768 -1.4029 -6.6495 43 1 3.8033 0.8909 -5.8139 44 1 2.1943 0.3605 -5.2595 45 1 5.8323 0.9763 -5.8589 46 1 6.2536 2.6826 -6.1407 47 1 7.5931 2.6545 -4.0171 48 1 7.2459 0.9159 -3.8594 49 1 4.5537 4.0565 -3.0359 50 1 5.6763 4.4868 -4.4344 51 1 3.9814 3.5626 -6.0798 52 1 2.8584 3.1319 -4.6818 RHF calculation, no. of doubly occupied orbitals= 65 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) F: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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 ZINC001491280982.mol2 52 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 21:12:26 Heat of formation + Delta-G solvation = -4.559631 kcal Electronic energy + Delta-G solvation = -33588.847312 eV Core-core repulsion = 29505.371600 eV Total energy + Delta-G solvation = -4083.475711 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 338.211 amu Computer time = 0.97 seconds Orbital eigenvalues (eV) -47.70584 -40.90437 -38.41914 -36.84225 -36.48428 -32.57810 -32.40023 -31.47122 -31.18220 -29.80626 -27.53439 -25.27247 -24.34754 -24.10351 -23.06168 -22.66943 -21.98944 -20.91034 -19.81362 -19.63069 -18.12252 -17.19453 -16.56811 -16.27277 -15.78733 -15.57819 -15.46020 -15.19516 -14.92439 -14.74840 -14.30590 -14.14017 -14.00581 -13.50990 -13.37544 -13.30946 -12.93637 -12.80963 -12.67571 -12.30412 -11.87539 -11.84770 -11.70827 -11.57664 -11.40672 -11.36787 -11.03822 -10.93655 -10.80430 -10.73604 -10.66480 -10.51564 -10.37002 -10.18266 -10.10523 -10.07030 -9.73361 -9.63804 -9.35533 -8.76629 -8.34837 -7.99063 -6.67312 -5.93455 -3.29970 2.83146 3.15291 3.47290 3.51264 3.56287 3.70983 4.22949 4.48150 4.56953 4.60309 4.63230 4.83487 4.91323 4.95457 5.01356 5.03952 5.14564 5.22138 5.24711 5.34408 5.45156 5.46873 5.49875 5.57997 5.59348 5.66916 5.67782 5.78988 5.80648 5.82428 5.86476 5.91459 5.98956 6.01675 6.02441 6.18280 6.30404 6.33454 6.37730 6.44356 6.57334 6.65087 6.73242 6.80950 6.99798 7.01805 7.06254 7.41140 7.76712 8.00535 8.39270 8.56584 8.98013 9.76124 10.36368 11.22272 Molecular weight = 338.21amu Principal moments of inertia in cm(-1) A = 0.011533 B = 0.005586 C = 0.005338 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2427.240315 B = 5010.928860 C = 5244.566157 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 N -0.907 5.907 2 C 0.033 3.967 3 Si 0.886 3.114 4 H -0.278 1.278 5 H -0.312 1.312 6 H -0.275 1.275 7 C -0.243 4.243 8 H 0.082 0.918 9 N -0.607 5.607 10 C 0.130 3.870 11 C -0.139 4.139 12 C -0.129 4.129 13 C 0.147 3.853 14 H 0.089 0.911 15 C 0.137 3.863 16 H 0.084 0.916 17 C -0.123 4.123 18 C -0.121 4.121 19 C -0.132 4.132 20 C 0.106 3.894 21 N -0.595 5.595 22 C 0.534 3.466 23 O -0.509 6.509 24 C -0.157 4.157 25 C -0.104 4.104 26 C 0.062 3.938 27 F -0.221 7.221 28 C -0.146 4.146 29 C -0.160 4.160 30 H 0.261 0.739 31 H 0.044 0.956 32 H 0.022 0.978 33 H 0.060 0.940 34 H 0.056 0.944 35 H 0.059 0.941 36 H 0.087 0.913 37 H 0.082 0.918 38 H 0.063 0.937 39 H 0.064 0.936 40 H 0.059 0.941 41 H 0.063 0.937 42 H 0.069 0.931 43 H 0.083 0.917 44 H 0.066 0.934 45 H 0.082 0.918 46 H 0.082 0.918 47 H 0.078 0.922 48 H 0.078 0.922 49 H 0.103 0.897 50 H 0.102 0.898 51 H 0.103 0.897 52 H 0.101 0.899 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 10.968 2.763 -14.968 18.761 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 N -0.549 5.549 2 C -0.166 4.166 3 Si 0.718 3.282 4 H -0.205 1.205 5 H -0.241 1.241 6 H -0.201 1.201 7 C -0.371 4.371 8 H 0.099 0.901 9 N -0.333 5.333 10 C 0.004 3.996 11 C -0.177 4.177 12 C -0.166 4.166 13 C 0.042 3.958 14 H 0.105 0.895 15 C 0.034 3.966 16 H 0.102 0.898 17 C -0.161 4.161 18 C -0.158 4.158 19 C -0.170 4.170 20 C -0.018 4.018 21 N -0.328 5.328 22 C 0.321 3.679 23 O -0.386 6.386 24 C -0.161 4.161 25 C -0.142 4.142 26 C 0.007 3.993 27 F -0.202 7.202 28 C -0.183 4.183 29 C -0.197 4.197 30 H 0.071 0.929 31 H 0.062 0.938 32 H 0.040 0.960 33 H 0.079 0.921 34 H 0.075 0.925 35 H 0.077 0.923 36 H 0.105 0.895 37 H 0.100 0.900 38 H 0.082 0.918 39 H 0.082 0.918 40 H 0.077 0.923 41 H 0.081 0.919 42 H 0.088 0.912 43 H 0.101 0.899 44 H 0.084 0.916 45 H 0.100 0.900 46 H 0.101 0.899 47 H 0.097 0.903 48 H 0.097 0.903 49 H 0.121 0.879 50 H 0.121 0.879 51 H 0.122 0.878 52 H 0.119 0.881 Dipole moment (debyes) X Y Z Total from point charges 10.941 2.862 -14.308 18.238 hybrid contribution 0.228 0.881 -0.124 0.919 sum 11.169 3.744 -14.432 18.629 Atomic orbital electron populations 1.69848 1.05775 1.26534 1.52763 1.25293 0.95049 0.97574 0.98724 0.86862 0.78977 0.84055 0.78292 1.20544 1.24055 1.20125 1.18537 0.83947 0.94230 1.40363 0.90056 1.44939 1.07048 1.42622 1.38693 1.21687 0.87711 0.93004 0.97153 1.22825 0.97494 0.99332 0.98052 1.23164 0.97295 0.99922 0.96238 1.22004 0.90381 0.97115 0.86336 0.89458 1.21961 1.00141 0.86418 0.88124 0.89767 1.21968 1.00697 0.97723 0.95734 1.21546 1.00489 0.98271 0.95533 1.21903 1.01145 0.94971 0.98975 1.21758 1.00302 0.97321 0.82408 1.48139 1.46896 1.28631 1.09122 1.19337 0.79071 0.81547 0.87930 1.90694 1.54717 1.73929 1.19227 1.21361 1.00717 0.92823 1.01152 1.21628 0.92285 1.03283 0.96990 1.21966 0.83078 1.03156 0.91112 1.92750 1.59044 1.95402 1.73053 1.23020 1.01642 0.92754 1.00873 1.23139 0.95551 1.01633 0.99387 0.92896 0.93792 0.96025 0.92085 0.92535 0.92285 0.89483 0.89980 0.91825 0.91760 0.92260 0.91868 0.91219 0.89855 0.91557 0.89975 0.89894 0.90338 0.90347 0.87904 0.87918 0.87836 0.88092 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 N -0.91 -27.86 13.97 55.49 0.78 -27.08 16 2 C 0.03 0.98 5.20 -17.43 -0.09 0.89 16 3 Si 0.89 24.11 24.84 -169.99 -4.22 19.89 16 4 H -0.28 -7.36 6.31 56.52 0.36 -7.01 16 5 H -0.31 -8.61 7.11 56.52 0.40 -8.20 16 6 H -0.28 -7.76 7.11 56.52 0.40 -7.36 16 7 C -0.24 -6.89 9.96 -15.06 -0.15 -7.04 16 8 H 0.08 2.46 8.06 -52.49 -0.42 2.04 16 9 N -0.61 -14.87 2.41 -162.58 -0.39 -15.26 16 10 C 0.13 2.72 7.24 -2.54 -0.02 2.70 16 11 C -0.14 -2.58 7.09 -24.45 -0.17 -2.75 16 12 C -0.13 -2.46 5.16 -24.76 -0.13 -2.59 16 13 C 0.15 3.26 1.10 -66.95 -0.07 3.19 16 14 H 0.09 2.18 1.12 -52.57 -0.06 2.13 16 15 C 0.14 2.72 2.70 -67.60 -0.18 2.54 16 16 H 0.08 2.01 7.58 -51.93 -0.39 1.62 16 17 C -0.12 -2.08 4.96 -26.61 -0.13 -2.22 16 18 C -0.12 -1.63 5.88 -26.69 -0.16 -1.79 16 19 C -0.13 -1.47 6.08 -26.61 -0.16 -1.64 16 20 C 0.11 1.31 5.85 -3.71 -0.02 1.29 16 21 N -0.60 -9.77 2.95 -165.22 -0.49 -10.26 16 22 C 0.53 8.87 5.92 -10.99 -0.07 8.80 16 23 O -0.51 -10.23 9.52 5.55 0.05 -10.18 16 24 C -0.16 -1.91 0.71 -155.66 -0.11 -2.02 16 25 C -0.10 -1.03 5.22 -26.73 -0.14 -1.17 16 26 C 0.06 0.69 7.37 37.16 0.27 0.96 16 27 F -0.22 -2.73 17.36 2.25 0.04 -2.69 16 28 C -0.15 -1.66 9.88 -26.73 -0.26 -1.92 16 29 C -0.16 -1.68 8.68 -26.73 -0.23 -1.91 16 30 H 0.26 7.70 8.31 -40.82 -0.34 7.37 16 31 H 0.04 0.93 8.14 -51.93 -0.42 0.51 16 32 H 0.02 0.43 8.14 -51.93 -0.42 0.01 16 33 H 0.06 1.19 8.14 -51.93 -0.42 0.77 16 34 H 0.06 0.88 8.14 -51.93 -0.42 0.46 16 35 H 0.06 1.04 5.15 -51.93 -0.27 0.77 16 36 H 0.09 1.69 5.64 -51.88 -0.29 1.40 16 37 H 0.08 1.56 7.99 -51.93 -0.42 1.15 16 38 H 0.06 1.04 5.50 -51.93 -0.29 0.75 16 39 H 0.06 0.92 8.14 -51.93 -0.42 0.50 16 40 H 0.06 0.71 8.14 -51.93 -0.42 0.29 16 41 H 0.06 0.70 8.14 -51.93 -0.42 0.28 16 42 H 0.07 0.63 8.14 -51.93 -0.42 0.21 16 43 H 0.08 0.84 4.58 -51.93 -0.24 0.60 16 44 H 0.07 0.83 8.14 -51.92 -0.42 0.41 16 45 H 0.08 0.79 7.09 -51.93 -0.37 0.42 16 46 H 0.08 0.68 8.09 -51.93 -0.42 0.26 16 47 H 0.08 0.81 8.14 -51.93 -0.42 0.39 16 48 H 0.08 0.97 7.88 -51.93 -0.41 0.56 16 49 H 0.10 1.41 8.14 -51.93 -0.42 0.99 16 50 H 0.10 0.91 8.14 -51.93 -0.42 0.49 16 51 H 0.10 0.80 8.14 -51.93 -0.42 0.38 16 52 H 0.10 1.22 8.14 -51.93 -0.42 0.80 16 LS Contribution 381.55 15.07 5.75 5.75 Total: -1.00 -32.57 381.55 -8.98 -41.55 By element: Atomic # 1 Polarization: 11.63 SS G_CDS: -8.67 Total: 2.96 kcal Atomic # 6 Polarization: -2.85 SS G_CDS: -1.83 Total: -4.68 kcal Atomic # 7 Polarization: -52.49 SS G_CDS: -0.10 Total: -52.60 kcal Atomic # 8 Polarization: -10.23 SS G_CDS: 0.05 Total: -10.18 kcal Atomic # 9 Polarization: -2.73 SS G_CDS: 0.04 Total: -2.69 kcal Atomic # 14 Polarization: 24.11 SS G_CDS: -4.22 Total: 19.89 kcal Total LS contribution 5.75 Total: 5.75 kcal Total: -32.57 -8.98 -41.55 kcal The number of atoms in the molecule is 52 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. ZINC001491280982.mol2 52 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 36.993 kcal (2) G-P(sol) polarization free energy of solvation -32.573 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 4.420 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.980 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.553 kcal (6) G-S(sol) free energy of system = (1) + (5) -4.560 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.97 seconds