Wall clock time and date at job start Tue Mar 31 2020 23:20:42 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 O 1.45197 * 1 3 3 C 1.34226 * 117.00584 * 2 1 4 4 O 1.20824 * 119.99735 * 359.72264 * 3 2 1 5 5 C 1.50696 * 120.00246 * 180.02562 * 3 2 1 6 6 C 1.53002 * 109.47143 * 179.97438 * 5 3 2 7 7 N 1.46506 * 109.47079 * 179.97438 * 6 5 3 8 8 C 1.36939 * 119.99991 * 264.95669 * 7 6 5 9 9 H 1.07999 * 119.99398 * 149.75833 * 8 7 6 10 10 C 1.38810 * 119.99975 * 329.76228 * 8 7 6 11 11 N 1.31624 * 120.00358 * 332.47049 * 10 8 7 12 12 Si 1.86803 * 119.99965 * 152.47384 * 10 8 7 13 13 H 1.48501 * 109.46807 * 84.99481 * 12 10 8 14 14 H 1.48491 * 109.47156 * 204.99469 * 12 10 8 15 15 H 1.48500 * 109.47134 * 324.99872 * 12 10 8 16 16 C 1.46496 * 119.99839 * 84.95841 * 7 6 5 17 17 H 1.09002 * 109.46945 * 0.02562 * 16 7 6 18 18 C 1.52995 * 109.47400 * 239.99958 * 16 7 6 19 19 C 1.50699 * 109.47202 * 119.99771 * 16 7 6 20 20 O 1.21286 * 119.99888 * 0.02562 * 19 16 7 21 21 N 1.34772 * 120.00325 * 179.97438 * 19 16 7 22 22 C 1.46501 * 120.00369 * 180.02562 * 21 19 16 23 23 H 1.08998 * 109.46890 * 325.00687 * 22 21 19 24 24 C 1.53001 * 109.47056 * 85.00219 * 22 21 19 25 25 C 1.52995 * 109.46981 * 180.02562 * 24 22 21 26 26 C 1.53003 * 109.47431 * 299.99829 * 25 24 22 27 27 C 1.53001 * 109.46898 * 60.00120 * 26 25 24 28 28 C 1.53001 * 109.47173 * 205.00175 * 22 21 19 29 29 H 1.08994 * 109.47166 * 299.99944 * 28 22 21 30 30 C 1.52997 * 109.47239 * 60.00394 * 28 22 21 31 31 H 1.09001 * 109.46923 * 59.99815 * 1 2 3 32 32 H 1.08993 * 109.47739 * 179.97438 * 1 2 3 33 33 H 1.08999 * 109.46893 * 300.00434 * 1 2 3 34 34 H 1.09008 * 109.46771 * 299.99356 * 5 3 2 35 35 H 1.08998 * 109.47470 * 59.99589 * 5 3 2 36 36 H 1.09000 * 109.47093 * 299.99766 * 6 5 3 37 37 H 1.09006 * 109.46961 * 59.99831 * 6 5 3 38 38 H 0.96991 * 120.00043 * 179.97438 * 11 10 8 39 39 H 1.09007 * 109.47096 * 59.99975 * 18 16 7 40 40 H 1.08998 * 109.47561 * 179.97438 * 18 16 7 41 41 H 1.09009 * 109.47144 * 300.00399 * 18 16 7 42 42 H 0.97003 * 120.00215 * 0.02562 * 21 19 16 43 43 H 1.08999 * 109.47263 * 300.00297 * 24 22 21 44 44 H 1.09001 * 109.46593 * 60.00050 * 24 22 21 45 45 H 1.09001 * 109.47559 * 60.00466 * 25 24 22 46 46 H 1.09009 * 109.46715 * 180.02562 * 25 24 22 47 47 H 1.08997 * 109.47349 * 180.02562 * 26 25 24 48 48 H 1.08997 * 109.46805 * 300.00700 * 26 25 24 49 49 H 1.08998 * 109.46890 * 59.99863 * 27 26 25 50 50 H 1.08999 * 109.47263 * 180.02562 * 27 26 25 51 51 H 1.09006 * 109.47371 * 59.99340 * 30 28 22 52 52 H 1.08999 * 109.47409 * 179.97438 * 30 28 22 53 53 H 1.09007 * 109.47274 * 299.99939 * 30 28 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 8 1.4520 0.0000 0.0000 3 6 2.0615 1.1959 0.0000 4 8 1.4035 2.2092 -0.0051 5 6 3.5664 1.2747 -0.0006 6 6 4.0003 2.7419 -0.0011 7 7 5.4633 2.8185 -0.0011 8 6 6.1416 2.9588 1.1803 9 1 7.1342 2.5465 1.2852 10 6 5.5532 3.6309 2.2428 11 7 4.6551 4.5656 2.0141 12 14 6.0360 3.2088 3.9973 13 1 7.2528 3.9726 4.3731 14 1 4.9248 3.5649 4.9157 15 1 6.3143 1.7536 4.0977 16 6 6.2007 2.7449 -1.2648 17 1 5.4971 2.6353 -2.0901 18 6 7.1445 1.5412 -1.2353 19 6 7.0021 4.0072 -1.4529 20 8 6.9618 4.8819 -0.6137 21 7 7.7646 4.1636 -2.5532 22 6 8.5442 5.3905 -2.7358 23 1 7.9908 6.2366 -2.3284 24 6 9.8825 5.2576 -2.0064 25 6 10.6964 6.5391 -2.1966 26 6 10.9491 6.7662 -3.6885 27 6 9.6107 6.8990 -4.4179 28 6 8.7968 5.6169 -4.2278 29 1 9.3501 4.7708 -4.6351 30 6 7.4585 5.7498 -4.9572 31 1 -0.3633 0.5139 -0.8900 32 1 -0.3634 -1.0276 -0.0005 33 1 -0.3633 0.5139 0.8899 34 1 3.9564 0.7804 0.8893 35 1 3.9558 0.7807 -0.8907 36 1 3.6103 3.2358 -0.8911 37 1 3.6108 3.2362 0.8889 38 1 4.2438 5.0349 2.7566 39 1 6.5647 0.6281 -1.0993 40 1 7.6928 1.4862 -2.1758 41 1 7.8480 1.6512 -0.4100 42 1 7.7972 3.4640 -3.2243 43 1 9.7026 5.0963 -0.9435 44 1 10.4358 4.4114 -2.4138 45 1 10.1429 7.3850 -1.7889 46 1 11.6501 6.4442 -1.6773 47 1 11.5293 7.6789 -3.8239 48 1 11.5025 5.9202 -4.0960 49 1 9.0572 7.7449 -4.0102 50 1 9.7906 7.0604 -5.4808 51 1 6.9050 6.5960 -4.5498 52 1 7.6384 5.9116 -6.0200 53 1 6.8783 4.8370 -4.8214 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 ZINC000879475184.mol2 53 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 23:20:42 Heat of formation + Delta-G solvation = -119.308287 kcal Electronic energy + Delta-G solvation = -31558.387704 eV Core-core repulsion = 27430.251850 eV Total energy + Delta-G solvation = -4128.135854 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.38 seconds Orbital eigenvalues (eV) -39.95193 -39.63626 -37.94861 -36.25582 -35.45915 -33.59458 -32.38882 -31.94789 -31.37513 -29.41578 -28.39766 -27.20691 -26.18396 -24.75043 -23.57091 -22.50443 -21.38567 -20.95134 -19.95351 -19.92878 -19.05752 -17.35786 -16.77595 -16.15365 -16.01635 -15.82495 -15.54412 -14.91047 -14.64722 -14.34453 -14.16211 -14.02368 -13.89141 -13.53729 -13.29193 -13.22028 -12.88193 -12.72662 -12.56956 -12.29476 -12.16148 -11.97603 -11.86230 -11.69571 -11.52285 -11.38560 -11.33413 -11.11652 -10.97198 -10.85432 -10.71341 -10.60689 -10.50016 -10.49250 -10.34030 -10.11167 -10.04122 -9.97900 -9.85752 -9.66323 -8.58789 -8.35135 -8.25875 -6.66194 -5.69330 -3.14442 2.74915 3.15341 3.44556 3.52130 3.52802 3.76008 3.86675 4.56458 4.66672 4.73490 4.89637 5.11038 5.19226 5.24326 5.27253 5.32997 5.42018 5.44542 5.48343 5.50488 5.51692 5.55549 5.67629 5.70248 5.74403 5.80107 5.88453 5.89709 5.96216 5.98570 6.02369 6.05216 6.15739 6.18672 6.21576 6.24623 6.30971 6.32195 6.44409 6.47349 6.55175 6.62052 6.78264 6.87980 7.01494 7.21382 7.74124 7.91792 8.24792 8.29692 8.53529 9.19691 9.35925 9.86961 10.37612 11.34508 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011669 B = 0.003299 C = 0.002785 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2398.877702 B = 8485.216392 C =10052.722689 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.035 3.965 2 O -0.370 6.370 3 C 0.460 3.540 4 O -0.506 6.506 5 C -0.130 4.130 6 C 0.158 3.842 7 N -0.554 5.554 8 C -0.248 4.248 9 H 0.065 0.935 10 C 0.017 3.983 11 N -0.866 5.866 12 Si 0.887 3.113 13 H -0.287 1.287 14 H -0.291 1.291 15 H -0.279 1.279 16 C 0.147 3.853 17 H 0.070 0.930 18 C -0.149 4.149 19 C 0.484 3.516 20 O -0.482 6.482 21 N -0.746 5.746 22 C 0.154 3.846 23 H 0.081 0.919 24 C -0.128 4.128 25 C -0.117 4.117 26 C -0.119 4.119 27 C -0.111 4.111 28 C -0.096 4.096 29 H 0.070 0.930 30 C -0.145 4.145 31 H 0.058 0.942 32 H 0.093 0.907 33 H 0.059 0.941 34 H 0.103 0.897 35 H 0.086 0.914 36 H 0.031 0.969 37 H 0.113 0.887 38 H 0.252 0.748 39 H 0.057 0.943 40 H 0.042 0.958 41 H 0.060 0.940 42 H 0.387 0.613 43 H 0.070 0.930 44 H 0.057 0.943 45 H 0.063 0.937 46 H 0.059 0.941 47 H 0.059 0.941 48 H 0.059 0.941 49 H 0.064 0.936 50 H 0.061 0.939 51 H 0.055 0.945 52 H 0.050 0.950 53 H 0.058 0.942 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 4.981 -4.339 -13.763 15.266 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 -0.060 4.060 2 O -0.287 6.287 3 C 0.303 3.697 4 O -0.393 6.393 5 C -0.171 4.171 6 C 0.031 3.969 7 N -0.271 5.271 8 C -0.377 4.377 9 H 0.082 0.918 10 C -0.184 4.184 11 N -0.507 5.507 12 Si 0.716 3.284 13 H -0.214 1.214 14 H -0.217 1.217 15 H -0.205 1.205 16 C 0.036 3.964 17 H 0.088 0.912 18 C -0.208 4.208 19 C 0.268 3.732 20 O -0.351 6.351 21 N -0.402 5.402 22 C 0.048 3.952 23 H 0.099 0.901 24 C -0.167 4.167 25 C -0.156 4.156 26 C -0.157 4.157 27 C -0.149 4.149 28 C -0.115 4.115 29 H 0.088 0.912 30 C -0.203 4.203 31 H 0.076 0.924 32 H 0.112 0.888 33 H 0.078 0.922 34 H 0.121 0.879 35 H 0.104 0.896 36 H 0.049 0.951 37 H 0.130 0.870 38 H 0.062 0.938 39 H 0.077 0.923 40 H 0.061 0.939 41 H 0.079 0.921 42 H 0.219 0.781 43 H 0.089 0.911 44 H 0.076 0.924 45 H 0.082 0.918 46 H 0.078 0.922 47 H 0.077 0.923 48 H 0.078 0.922 49 H 0.082 0.918 50 H 0.080 0.920 51 H 0.074 0.926 52 H 0.069 0.931 53 H 0.077 0.923 Dipole moment (debyes) X Y Z Total from point charges 4.571 -3.234 -12.948 14.107 hybrid contribution 0.079 -0.395 0.583 0.708 sum 4.650 -3.628 -12.365 13.699 Atomic orbital electron populations 1.23132 0.77770 1.02833 1.02218 1.86564 1.22488 1.34910 1.84749 1.24485 0.92825 0.80729 0.71663 1.90649 1.67360 1.36261 1.45024 1.22408 0.84574 1.05585 1.04492 1.20833 0.83231 0.88856 1.03968 1.43853 1.00875 1.82042 1.00349 1.18760 1.01425 1.29836 0.87714 0.91761 1.24948 0.99786 0.94987 0.98670 1.70117 1.30209 1.20215 1.30186 0.86576 0.77665 0.78419 0.85736 1.21352 1.21659 1.20476 1.20561 0.93397 0.90971 0.91505 0.91163 1.22099 0.99882 0.98354 1.00481 1.22354 0.79464 0.90771 0.80641 1.90783 1.61566 1.42040 1.40672 1.46541 1.49257 1.19829 1.24560 1.20777 0.91627 0.89263 0.93502 0.90080 1.21911 0.95802 0.97185 1.01779 1.21501 0.99834 0.98395 0.95823 1.21553 0.97017 1.01275 0.95808 1.21562 0.95876 0.97476 0.99979 1.21387 0.96568 0.98335 0.95239 0.91160 1.21803 0.96755 1.02423 0.99286 0.92368 0.88812 0.92247 0.87890 0.89580 0.95068 0.86996 0.93783 0.92344 0.93943 0.92070 0.78053 0.91130 0.92402 0.91839 0.92179 0.92265 0.92180 0.91761 0.92003 0.92630 0.93053 0.92305 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 0.03 0.43 10.56 101.05 1.07 1.49 16 2 O -0.37 -5.90 10.56 -39.25 -0.41 -6.32 16 3 C 0.46 8.61 7.96 36.00 0.29 8.90 16 4 O -0.51 -10.99 15.73 -18.75 -0.29 -11.28 16 5 C -0.13 -2.43 6.13 -27.88 -0.17 -2.60 16 6 C 0.16 3.66 4.50 -4.04 -0.02 3.65 16 7 N -0.55 -13.02 2.22 -166.98 -0.37 -13.39 16 8 C -0.25 -6.59 7.50 -15.06 -0.11 -6.70 16 9 H 0.06 1.73 6.86 -52.49 -0.36 1.37 16 10 C 0.02 0.49 4.82 -17.43 -0.08 0.40 16 11 N -0.87 -25.84 11.43 55.49 0.63 -25.20 16 12 Si 0.89 21.92 29.63 -169.99 -5.04 16.89 16 13 H -0.29 -7.21 7.11 56.52 0.40 -6.81 16 14 H -0.29 -7.25 7.11 56.52 0.40 -6.85 16 15 H -0.28 -6.66 7.11 56.52 0.40 -6.26 16 16 C 0.15 2.84 3.17 -69.09 -0.22 2.62 16 17 H 0.07 1.21 7.86 -51.93 -0.41 0.81 16 18 C -0.15 -2.37 9.06 37.15 0.34 -2.04 16 19 C 0.48 9.85 7.00 -10.99 -0.08 9.77 16 20 O -0.48 -12.60 14.92 5.55 0.08 -12.52 16 21 N -0.75 -11.30 4.28 -53.81 -0.23 -11.53 16 22 C 0.15 2.19 1.90 -67.93 -0.13 2.06 16 23 H 0.08 1.43 7.58 -51.93 -0.39 1.03 16 24 C -0.13 -1.78 5.49 -26.73 -0.15 -1.93 16 25 C -0.12 -1.38 5.92 -26.73 -0.16 -1.54 16 26 C -0.12 -1.14 5.92 -26.73 -0.16 -1.30 16 27 C -0.11 -1.09 5.21 -26.70 -0.14 -1.22 16 28 C -0.10 -1.04 2.30 -90.59 -0.21 -1.25 16 29 H 0.07 0.69 8.14 -51.93 -0.42 0.27 16 30 C -0.15 -1.55 9.04 37.16 0.34 -1.21 16 31 H 0.06 0.69 8.13 -51.93 -0.42 0.27 16 32 H 0.09 0.83 8.14 -51.93 -0.42 0.40 16 33 H 0.06 0.75 8.14 -51.93 -0.42 0.32 16 34 H 0.10 1.95 8.14 -51.92 -0.42 1.53 16 35 H 0.09 1.38 8.14 -51.93 -0.42 0.96 16 36 H 0.03 0.73 7.98 -51.93 -0.41 0.31 16 37 H 0.11 3.07 5.24 -51.93 -0.27 2.80 16 38 H 0.25 7.35 8.31 -40.82 -0.34 7.01 16 39 H 0.06 0.88 8.14 -51.93 -0.42 0.46 16 40 H 0.04 0.53 7.56 -51.93 -0.39 0.14 16 41 H 0.06 1.11 6.96 -51.92 -0.36 0.74 16 42 H 0.39 4.69 7.81 -40.82 -0.32 4.37 16 43 H 0.07 1.22 8.14 -51.93 -0.42 0.80 16 44 H 0.06 0.73 8.14 -51.93 -0.42 0.31 16 45 H 0.06 0.80 8.14 -51.93 -0.42 0.38 16 46 H 0.06 0.66 8.14 -51.92 -0.42 0.23 16 47 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 48 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 49 H 0.06 0.68 8.14 -51.93 -0.42 0.25 16 50 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 51 H 0.05 0.66 8.14 -51.93 -0.42 0.24 16 52 H 0.05 0.46 8.14 -51.93 -0.42 0.04 16 53 H 0.06 0.64 7.45 -51.93 -0.39 0.25 16 LS Contribution 418.57 15.07 6.31 6.31 Total: -1.00 -33.71 418.57 -8.55 -42.26 By element: Atomic # 1 Polarization: 15.31 SS G_CDS: -9.63 Total: 5.68 kcal Atomic # 6 Polarization: 8.70 SS G_CDS: 0.40 Total: 9.11 kcal Atomic # 7 Polarization: -50.15 SS G_CDS: 0.03 Total: -50.12 kcal Atomic # 8 Polarization: -29.49 SS G_CDS: -0.63 Total: -30.12 kcal Atomic # 14 Polarization: 21.92 SS G_CDS: -5.04 Total: 16.89 kcal Total LS contribution 6.31 Total: 6.31 kcal Total: -33.71 -8.55 -42.26 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. ZINC000879475184.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 -77.049 kcal (2) G-P(sol) polarization free energy of solvation -33.711 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -110.760 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.548 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.259 kcal (6) G-S(sol) free energy of system = (1) + (5) -119.308 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.38 seconds