Wall clock time and date at job start Tue Mar 31 2020 19:26:03 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 1.53000 * 109.47186 * 2 1 4 4 H 1.09001 * 110.43683 * 52.01134 * 3 2 1 5 5 C 1.54809 * 110.48987 * 289.32175 * 3 2 1 6 6 C 1.54997 * 102.09371 * 220.44492 * 5 3 2 7 7 O 1.44574 * 103.58758 * 36.94291 * 6 5 3 8 8 C 1.43743 * 106.86613 * 320.12239 * 7 6 5 9 9 H 1.09004 * 109.87915 * 266.82782 * 8 7 6 10 10 C 1.50698 * 109.87745 * 145.82967 * 8 7 6 11 11 O 1.21283 * 120.00217 * 343.28095 * 10 8 7 12 12 N 1.34781 * 120.00309 * 163.28705 * 10 8 7 13 13 C 1.48113 * 127.84696 * 184.78524 * 12 10 8 14 14 C 1.54309 * 104.71708 * 140.23808 * 13 12 10 15 15 C 1.53002 * 112.07709 * 145.85924 * 14 13 12 16 16 C 1.54080 * 108.90226 * 271.75643 * 14 13 12 17 17 N 1.47203 * 106.24223 * 131.02694 * 16 14 13 18 18 C 1.36939 * 126.70524 * 148.58577 * 17 16 14 19 19 H 1.07995 * 119.99727 * 345.51547 * 18 17 16 20 20 C 1.38811 * 119.99979 * 165.51790 * 18 17 16 21 21 N 1.31616 * 120.00189 * 351.03032 * 20 18 17 22 22 Si 1.86799 * 119.99908 * 171.02827 * 20 18 17 23 23 H 1.48502 * 109.47233 * 89.99934 * 22 20 18 24 24 H 1.48495 * 109.47404 * 210.00223 * 22 20 18 25 25 H 1.48503 * 109.47007 * 330.00107 * 22 20 18 26 26 C 1.47208 * 106.59121 * 328.32015 * 17 16 14 27 27 C 1.53764 * 106.40491 * 31.59931 * 26 17 16 28 28 C 1.52996 * 112.06550 * 103.40486 * 27 26 17 29 29 C 1.48110 * 127.84421 * 4.80837 * 12 10 8 30 30 H 1.08996 * 109.46887 * 59.99862 * 1 2 3 31 31 H 1.09001 * 109.46961 * 179.97438 * 1 2 3 32 32 H 1.09002 * 109.47255 * 300.00157 * 1 2 3 33 33 H 1.09004 * 109.47275 * 240.00391 * 2 1 3 34 34 H 1.09001 * 109.47286 * 119.99922 * 2 1 3 35 35 H 1.09005 * 110.90840 * 338.64075 * 5 3 2 36 36 H 1.09000 * 110.90663 * 102.24281 * 5 3 2 37 37 H 1.08995 * 110.61801 * 155.52513 * 6 5 3 38 38 H 1.09008 * 110.61453 * 278.36395 * 6 5 3 39 39 H 1.09008 * 110.38568 * 21.42911 * 13 12 10 40 40 H 1.08998 * 110.38624 * 259.05580 * 13 12 10 41 41 H 1.08997 * 109.46930 * 302.41464 * 15 14 13 42 42 H 1.09006 * 109.46545 * 62.41456 * 15 14 13 43 43 H 1.09001 * 109.47383 * 182.41419 * 15 14 13 44 44 H 1.08997 * 110.22709 * 11.80322 * 16 14 13 45 45 H 1.09000 * 110.07691 * 250.17014 * 16 14 13 46 46 H 0.97000 * 120.00184 * 180.02562 * 21 20 18 47 47 H 1.09007 * 110.06587 * 150.83331 * 26 17 16 48 48 H 1.08997 * 110.07017 * 272.36282 * 26 17 16 49 49 H 1.08999 * 109.47296 * 61.01428 * 28 27 26 50 50 H 1.09001 * 109.46880 * 181.01130 * 28 27 26 51 51 H 1.09004 * 109.47599 * 301.01259 * 28 27 26 52 52 H 1.08992 * 110.39002 * 100.95285 * 29 12 10 53 53 H 1.09002 * 110.38745 * 338.56727 * 29 12 10 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 1 1.5742 2.0109 0.8050 5 6 1.7683 2.1133 -1.3685 6 6 3.0721 2.9189 -1.5998 7 8 4.1028 2.0578 -1.0648 8 6 3.5746 1.4721 0.1369 9 1 3.8582 2.0756 0.9992 10 6 4.1018 0.0695 0.2979 11 8 4.5982 -0.5041 -0.6484 12 7 4.0215 -0.5476 1.4935 13 6 4.5658 -1.8725 1.8706 14 6 5.1140 -1.6786 3.3000 15 6 4.9466 -2.9360 4.1555 16 6 6.5749 -1.1966 3.2132 17 7 6.6779 -0.0317 4.1072 18 6 7.7812 0.3597 4.8177 19 1 8.6119 -0.3190 4.9423 20 6 7.8317 1.6289 5.3777 21 7 6.9056 2.5161 5.0819 22 14 9.2141 2.0775 6.5512 23 1 10.3524 2.6421 5.7825 24 1 8.7275 3.0854 7.5271 25 1 9.6616 0.8616 7.2769 26 6 5.3652 0.6340 4.0832 27 6 4.3205 -0.4737 3.8685 28 6 3.5825 -0.8261 5.1615 29 6 3.3686 -0.0551 2.7283 30 1 -0.3633 0.5138 -0.8899 31 1 -0.3633 -1.0277 -0.0005 32 1 -0.3634 0.5139 0.8900 33 1 1.8934 -0.5138 -0.8900 34 1 1.8934 -0.5138 0.8900 35 1 1.6303 1.3643 -2.1483 36 1 0.9057 2.7773 -1.3117 37 1 3.2316 3.0937 -2.6638 38 1 3.0409 3.8638 -1.0572 39 1 5.3686 -2.1604 1.1918 40 1 3.7755 -2.6231 1.8654 41 1 3.8929 -3.2120 4.1934 42 1 5.5207 -3.7525 3.7174 43 1 5.3072 -2.7392 5.1652 44 1 6.8157 -0.9058 2.1907 45 1 7.2495 -1.9851 3.5470 46 1 6.9412 3.4030 5.4729 47 1 5.1848 1.1395 5.0319 48 1 5.3242 1.3508 3.2631 49 1 3.0532 0.0531 5.5290 50 1 2.8674 -1.6251 4.9655 51 1 4.3010 -1.1574 5.9113 52 1 2.3936 -0.5251 2.8557 53 1 3.2672 1.0298 2.6974 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) 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 ZINC000982300077.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 19:26:03 Heat of formation + Delta-G solvation = -48.520522 kcal Electronic energy + Delta-G solvation = -32493.580531 eV Core-core repulsion = 28558.970316 eV Total energy + Delta-G solvation = -3934.610215 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.12 seconds Orbital eigenvalues (eV) -40.91654 -39.67476 -37.65805 -35.15210 -34.55819 -32.89597 -31.69503 -30.75987 -30.44326 -29.53305 -26.88701 -25.80328 -25.75772 -24.90972 -23.77596 -22.83161 -22.15791 -20.93596 -20.03703 -18.86576 -17.84188 -17.08542 -16.72293 -16.50774 -15.98509 -15.59519 -14.71848 -14.64725 -14.61199 -14.39885 -14.08646 -13.85497 -13.76522 -13.45824 -13.34189 -13.09662 -12.69272 -12.68501 -12.25620 -12.07533 -12.00321 -11.77254 -11.71737 -11.52469 -11.43679 -11.38817 -11.32109 -11.19797 -10.85563 -10.83470 -10.79873 -10.73793 -10.63491 -10.07627 -10.03105 -9.95475 -9.85966 -9.73485 -9.53665 -9.22103 -8.61056 -8.39432 -6.80330 -5.77648 -3.10075 2.75241 3.06629 3.38705 3.44561 3.45840 3.99207 4.26118 4.45527 4.48844 4.56641 4.77760 4.85455 5.00351 5.03668 5.09551 5.18356 5.21247 5.30146 5.33110 5.40193 5.50380 5.52594 5.55296 5.58144 5.60233 5.65267 5.70437 5.73419 5.82075 5.83921 5.87922 5.88570 5.93221 5.97665 6.02666 6.05411 6.15998 6.20412 6.32277 6.35502 6.42796 6.48342 6.63371 6.72400 6.78289 6.86099 6.99510 7.39243 7.55062 7.74313 7.80840 8.25516 8.42575 9.17033 9.78999 10.52195 11.36480 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.013257 B = 0.004126 C = 0.003623 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2111.581400 B = 6784.943830 C = 7725.733410 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C -0.134 4.134 3 C -0.108 4.108 4 H 0.093 0.907 5 C -0.147 4.147 6 C 0.043 3.957 7 O -0.347 6.347 8 C 0.065 3.935 9 H 0.095 0.905 10 C 0.548 3.452 11 O -0.531 6.531 12 N -0.614 5.614 13 C 0.120 3.880 14 C -0.083 4.083 15 C -0.121 4.121 16 C 0.144 3.856 17 N -0.591 5.591 18 C -0.227 4.227 19 H 0.075 0.925 20 C -0.004 4.004 21 N -0.917 5.917 22 Si 0.909 3.091 23 H -0.288 1.288 24 H -0.290 1.290 25 H -0.281 1.281 26 C 0.183 3.817 27 C -0.096 4.096 28 C -0.119 4.119 29 C 0.113 3.887 30 H 0.053 0.947 31 H 0.054 0.946 32 H 0.055 0.945 33 H 0.068 0.932 34 H 0.079 0.921 35 H 0.080 0.920 36 H 0.082 0.918 37 H 0.094 0.906 38 H 0.064 0.936 39 H 0.079 0.921 40 H 0.064 0.936 41 H 0.052 0.948 42 H 0.050 0.950 43 H 0.065 0.935 44 H 0.018 0.982 45 H 0.041 0.959 46 H 0.253 0.747 47 H 0.076 0.924 48 H 0.019 0.981 49 H 0.052 0.948 50 H 0.047 0.953 51 H 0.065 0.935 52 H 0.067 0.933 53 H 0.078 0.922 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -16.021 -4.281 -6.727 17.896 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 -0.204 4.204 2 C -0.171 4.171 3 C -0.127 4.127 4 H 0.111 0.889 5 C -0.184 4.184 6 C -0.033 4.033 7 O -0.265 6.265 8 C 0.004 3.996 9 H 0.113 0.887 10 C 0.336 3.664 11 O -0.407 6.407 12 N -0.349 5.349 13 C -0.002 4.002 14 C -0.085 4.085 15 C -0.179 4.179 16 C 0.017 3.983 17 N -0.315 5.315 18 C -0.355 4.355 19 H 0.093 0.907 20 C -0.201 4.201 21 N -0.563 5.563 22 Si 0.739 3.261 23 H -0.216 1.216 24 H -0.216 1.216 25 H -0.206 1.206 26 C 0.057 3.943 27 C -0.098 4.098 28 C -0.176 4.176 29 C -0.010 4.010 30 H 0.072 0.928 31 H 0.073 0.927 32 H 0.074 0.926 33 H 0.087 0.913 34 H 0.097 0.903 35 H 0.098 0.902 36 H 0.101 0.899 37 H 0.113 0.887 38 H 0.082 0.918 39 H 0.098 0.902 40 H 0.083 0.917 41 H 0.071 0.929 42 H 0.069 0.931 43 H 0.084 0.916 44 H 0.036 0.964 45 H 0.060 0.940 46 H 0.063 0.937 47 H 0.095 0.905 48 H 0.037 0.963 49 H 0.071 0.929 50 H 0.066 0.934 51 H 0.084 0.916 52 H 0.085 0.915 53 H 0.096 0.904 Dipole moment (debyes) X Y Z Total from point charges -15.417 -4.356 -7.334 17.619 hybrid contribution 0.604 0.558 0.675 1.064 sum -14.813 -3.798 -6.659 16.679 Atomic orbital electron populations 1.21735 0.95244 1.01661 1.01730 1.21904 0.96430 0.95061 1.03709 1.22537 0.93196 0.98126 0.98856 0.88875 1.23225 0.98536 0.99813 0.96870 1.23640 0.86350 0.93429 0.99904 1.89049 1.37196 1.61221 1.39010 1.22716 0.93442 0.92827 0.90644 0.88729 1.19733 0.78457 0.87008 0.81172 1.90682 1.45086 1.66506 1.38443 1.48779 1.55998 1.20029 1.10063 1.22367 0.98139 0.84083 0.95644 1.22362 0.97733 0.95302 0.93122 1.21618 1.00681 0.95436 1.00126 1.21437 0.91960 0.91027 0.93873 1.44414 1.09065 1.27872 1.50146 1.18996 0.94986 0.96613 1.24909 0.90737 1.24830 0.98596 0.95378 1.01296 1.69919 1.35423 1.04681 1.46326 0.86170 0.81430 0.77895 0.80565 1.21554 1.21623 1.20630 1.21197 0.82117 0.90018 1.00977 1.22559 0.96065 0.97595 0.93611 1.21601 0.99345 1.00324 0.96371 1.22519 0.95278 0.99840 0.83402 0.92789 0.92702 0.92592 0.91312 0.90269 0.90176 0.89943 0.88743 0.91801 0.90228 0.91749 0.92886 0.93091 0.91556 0.96407 0.94013 0.93723 0.90528 0.96343 0.92876 0.93420 0.91623 0.91451 0.90373 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -1.24 9.80 37.16 0.36 -0.87 16 2 C -0.13 -1.48 4.17 -26.73 -0.11 -1.59 16 3 C -0.11 -1.21 2.99 -89.09 -0.27 -1.48 16 4 H 0.09 0.88 8.14 -51.93 -0.42 0.46 16 5 C -0.15 -1.43 6.05 -24.72 -0.15 -1.58 16 6 C 0.04 0.50 7.72 38.21 0.29 0.79 16 7 O -0.35 -5.86 10.81 -54.21 -0.59 -6.44 16 8 C 0.06 1.00 3.12 -27.31 -0.09 0.92 16 9 H 0.10 1.49 7.27 -51.93 -0.38 1.11 16 10 C 0.55 9.83 5.22 -10.98 -0.06 9.78 16 11 O -0.53 -11.44 16.90 -13.42 -0.23 -11.66 16 12 N -0.61 -9.92 2.46 -169.46 -0.42 -10.33 16 13 C 0.12 1.88 5.88 -2.47 -0.01 1.86 16 14 C -0.08 -1.37 1.09 -152.16 -0.17 -1.53 16 15 C -0.12 -1.66 7.55 37.16 0.28 -1.38 16 16 C 0.14 3.04 6.40 -3.09 -0.02 3.02 16 17 N -0.59 -14.82 3.38 -170.97 -0.58 -15.40 16 18 C -0.23 -6.26 10.28 -15.06 -0.15 -6.42 16 19 H 0.07 2.01 7.84 -52.49 -0.41 1.60 16 20 C 0.00 -0.12 5.39 -17.43 -0.09 -0.21 16 21 N -0.92 -26.42 10.84 55.49 0.60 -25.82 16 22 Si 0.91 21.90 29.56 -169.99 -5.03 16.87 16 23 H -0.29 -7.01 7.11 56.52 0.40 -6.61 16 24 H -0.29 -7.00 7.11 56.52 0.40 -6.60 16 25 H -0.28 -6.59 7.11 56.52 0.40 -6.19 16 26 C 0.18 4.16 4.76 -3.26 -0.02 4.14 16 27 C -0.10 -1.61 1.08 -152.33 -0.16 -1.77 16 28 C -0.12 -1.71 7.53 37.16 0.28 -1.43 16 29 C 0.11 1.62 4.77 -2.47 -0.01 1.60 16 30 H 0.05 0.42 7.64 -51.93 -0.40 0.02 16 31 H 0.05 0.44 8.14 -51.93 -0.42 0.02 16 32 H 0.05 0.43 8.14 -51.93 -0.42 0.01 16 33 H 0.07 0.90 7.70 -51.93 -0.40 0.50 16 34 H 0.08 0.94 4.47 -51.93 -0.23 0.71 16 35 H 0.08 0.81 7.76 -51.93 -0.40 0.40 16 36 H 0.08 0.60 8.14 -51.93 -0.42 0.17 16 37 H 0.09 0.93 8.14 -51.93 -0.42 0.51 16 38 H 0.06 0.64 8.14 -51.92 -0.42 0.22 16 39 H 0.08 1.37 7.44 -51.92 -0.39 0.98 16 40 H 0.06 0.85 7.96 -51.93 -0.41 0.44 16 41 H 0.05 0.61 7.17 -51.93 -0.37 0.24 16 42 H 0.05 0.64 8.14 -51.93 -0.42 0.22 16 43 H 0.07 0.99 7.09 -51.93 -0.37 0.62 16 44 H 0.02 0.42 7.47 -51.93 -0.39 0.04 16 45 H 0.04 0.86 7.88 -51.93 -0.41 0.45 16 46 H 0.25 7.08 8.31 -40.82 -0.34 6.74 16 47 H 0.08 1.94 6.46 -51.92 -0.34 1.61 16 48 H 0.02 0.47 7.45 -51.93 -0.39 0.08 16 49 H 0.05 0.73 8.14 -51.93 -0.42 0.31 16 50 H 0.05 0.56 7.16 -51.93 -0.37 0.19 16 51 H 0.06 1.05 7.10 -51.93 -0.37 0.68 16 52 H 0.07 0.79 7.29 -51.93 -0.38 0.41 16 53 H 0.08 1.12 6.36 -51.93 -0.33 0.79 16 LS Contribution 392.02 15.07 5.91 5.91 Total: -1.00 -33.24 392.02 -9.66 -42.91 By element: Atomic # 1 Polarization: 9.36 SS G_CDS: -9.25 Total: 0.12 kcal Atomic # 6 Polarization: 3.95 SS G_CDS: -0.09 Total: 3.86 kcal Atomic # 7 Polarization: -51.16 SS G_CDS: -0.39 Total: -51.55 kcal Atomic # 8 Polarization: -17.30 SS G_CDS: -0.81 Total: -18.11 kcal Atomic # 14 Polarization: 21.90 SS G_CDS: -5.03 Total: 16.87 kcal Total LS contribution 5.91 Total: 5.91 kcal Total: -33.24 -9.66 -42.91 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. ZINC000982300077.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 -5.614 kcal (2) G-P(sol) polarization free energy of solvation -33.245 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -38.859 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.661 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.906 kcal (6) G-S(sol) free energy of system = (1) + (5) -48.521 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.12 seconds