Wall clock time and date at job start Thu Mar 4 2021 13:40:52 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= 0 * 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 1.50701 * 1 3 3 C 1.38505 * 119.84877 * 2 1 4 4 C 1.38100 * 120.38732 * 180.02562 * 3 2 1 5 5 C 1.50703 * 119.95566 * 179.97438 * 4 3 2 6 6 O 1.42907 * 109.47059 * 104.99566 * 5 4 3 7 7 Si 1.86300 * 109.47125 * 344.99791 * 5 4 3 8 8 H 1.48504 * 109.47035 * 59.99834 * 7 5 4 9 9 H 1.48503 * 109.47066 * 179.97438 * 7 5 4 10 10 H 1.48497 * 109.47189 * 299.99870 * 7 5 4 11 11 C 1.38661 * 120.08411 * 359.73568 * 4 3 2 12 12 O 1.35660 * 120.14970 * 180.25833 * 11 4 3 13 13 C 1.40170 * 119.70236 * 0.53330 * 11 4 3 14 14 C 1.47543 * 120.19536 * 179.74430 * 13 11 4 15 15 O 1.21586 * 119.99843 * 359.72630 * 14 13 11 16 16 N 1.34775 * 120.00203 * 179.72349 * 14 13 11 17 17 C 1.46499 * 119.99864 * 180.02562 * 16 14 13 18 18 C 1.52583 * 108.90617 * 155.00013 * 17 16 14 19 19 C 1.54367 * 109.20507 * 198.48394 * 18 17 16 20 20 Si 1.85204 * 107.13613 * 303.23312 * 19 18 17 21 21 C 1.87766 * 111.37599 * 278.87668 * 20 19 18 22 22 C 1.56399 * 98.96833 * 221.41613 * 21 20 19 23 23 C 1.53785 * 109.77909 * 39.36773 * 22 21 20 24 24 C 1.55689 * 111.39582 * 312.19180 * 23 22 21 25 25 C 1.85448 * 109.90127 * 42.80999 * 20 19 18 26 26 C 1.52600 * 108.90584 * 277.82178 * 17 16 14 27 27 C 1.37829 * 119.85130 * 180.02562 * 2 1 3 28 28 H 1.09004 * 109.47155 * 269.98562 * 1 2 3 29 29 H 1.09000 * 109.47090 * 29.97983 * 1 2 3 30 30 H 1.09001 * 109.47099 * 149.98109 * 1 2 3 31 31 H 1.07998 * 119.80639 * 359.97252 * 3 2 1 32 32 H 1.08993 * 109.46943 * 224.99637 * 5 4 3 33 33 H 0.96697 * 114.00109 * 300.00120 * 6 5 4 34 34 H 0.96704 * 113.99856 * 270.27502 * 12 11 4 35 35 H 0.96998 * 119.99670 * 0.02562 * 16 14 13 36 36 H 1.09001 * 108.88854 * 36.36644 * 17 16 14 37 37 H 1.09004 * 109.51844 * 78.56930 * 18 17 16 38 38 H 1.08997 * 109.56170 * 318.42834 * 18 17 16 39 39 H 1.09002 * 109.93461 * 62.66657 * 19 18 17 40 40 H 1.09000 * 109.93538 * 183.80228 * 19 18 17 41 41 H 1.08996 * 111.49312 * 338.85761 * 21 20 19 42 42 H 1.09000 * 111.49563 * 103.97491 * 21 20 19 43 43 H 1.09003 * 109.41964 * 279.27343 * 22 21 20 44 44 H 1.08998 * 109.42027 * 159.46271 * 22 21 20 45 45 H 1.09007 * 109.09901 * 191.67786 * 23 22 21 46 46 H 1.09001 * 109.10093 * 72.70316 * 23 22 21 47 47 H 1.09002 * 111.14320 * 270.09108 * 24 23 22 48 48 H 1.09002 * 111.18143 * 145.90531 * 24 23 22 49 49 H 1.09005 * 109.91382 * 197.80574 * 25 20 19 50 50 H 1.08995 * 109.99877 * 76.63942 * 25 20 19 51 51 H 1.08997 * 109.51084 * 281.43254 * 26 17 16 52 52 H 1.08994 * 109.51319 * 41.54069 * 26 17 16 53 53 H 1.08001 * 120.04469 * 0.02855 * 27 2 1 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 1.5070 0.0000 0.0000 3 6 2.1964 1.2013 0.0000 4 6 3.5773 1.2143 -0.0005 5 6 4.3175 2.5270 -0.0011 6 8 4.8556 2.7710 1.3001 7 14 3.1445 3.9012 -0.4556 8 1 2.0393 3.9564 0.5348 9 1 3.8738 5.1948 -0.4556 10 1 2.5853 3.6477 -1.8077 11 6 4.2836 0.0211 0.0045 12 8 5.6402 0.0323 0.0092 13 6 3.5897 -1.1968 -0.0013 14 6 4.3304 -2.4729 -0.0017 15 8 5.5462 -2.4701 -0.0022 16 7 3.6592 -3.6416 -0.0016 17 6 4.3947 -4.9086 -0.0015 18 6 3.5114 -5.9929 0.6086 19 6 4.3942 -7.1831 1.0413 20 14 5.3230 -7.7472 -0.4585 21 6 4.2634 -8.8546 -1.5432 22 6 5.3366 -9.9293 -1.9164 23 6 6.2158 -10.2338 -0.6919 24 6 6.7091 -8.9253 -0.0074 25 6 5.9519 -6.2790 -1.4008 26 6 4.8128 -5.2377 -1.4318 27 6 2.1931 -1.1954 -0.0005 28 1 -0.3634 -0.0003 1.0277 29 1 -0.3633 0.8902 -0.5135 30 1 -0.3633 -0.8898 -0.5141 31 1 1.6508 2.1333 -0.0004 32 1 5.1286 2.4864 -0.7280 33 1 4.1888 2.8197 1.9987 34 1 6.0366 0.0379 -0.8728 35 1 2.6892 -3.6438 -0.0016 36 1 5.2900 -4.7968 0.6100 37 1 2.7841 -6.3289 -0.1305 38 1 2.9892 -5.5922 1.4774 39 1 5.0940 -6.8651 1.8141 40 1 3.7685 -7.9926 1.4172 41 1 3.4382 -9.2923 -0.9816 42 1 3.9053 -8.3246 -2.4258 43 1 5.9612 -9.5519 -2.7261 44 1 4.8376 -10.8426 -2.2403 45 1 7.0796 -10.8179 -1.0094 46 1 5.6382 -10.8161 0.0260 47 1 7.6586 -8.5950 -0.4288 48 1 6.7835 -9.0499 1.0729 49 1 6.2131 -6.5742 -2.4170 50 1 6.8246 -5.8604 -0.8997 51 1 3.9608 -5.6460 -1.9753 52 1 5.1604 -4.3312 -1.9272 53 1 1.6514 -2.1298 -0.0014 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=0 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 m_22_15739290_13422088.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Thu Mar 4 2021 13:40:52 Heat of formation + Delta-G solvation = -140.086374 kcal Electronic energy + Delta-G solvation = -31034.302821 eV Core-core repulsion = 26993.383116 eV Total energy + Delta-G solvation = -4040.919705 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 363.182 amu Computer time = 1.25 seconds Orbital eigenvalues (eV) -41.73029 -40.24709 -38.07641 -37.82035 -37.36950 -36.20457 -34.18999 -33.09848 -32.43164 -32.15192 -29.76641 -27.71126 -27.20246 -26.76963 -25.02221 -24.40134 -23.66760 -22.11798 -21.65739 -21.20421 -20.90981 -19.58239 -18.32671 -18.08955 -17.42908 -16.80061 -16.70638 -16.28084 -16.05902 -16.01402 -15.84813 -15.68006 -15.53730 -15.16859 -14.95866 -14.86054 -14.65074 -14.52563 -14.26394 -13.79641 -13.69761 -13.46126 -13.42652 -13.27325 -13.15881 -13.08069 -12.86024 -12.62873 -12.43312 -12.30097 -12.26215 -12.19132 -12.16121 -12.00626 -11.79736 -11.77829 -11.63635 -11.40943 -10.79182 -10.41911 -10.39011 -10.35805 -10.24566 -10.16334 -9.94981 -9.52953 -0.33317 0.05059 1.06591 1.33191 1.44642 1.67237 1.77140 1.80611 1.83107 1.84525 2.13791 2.58103 2.61422 3.18944 3.35571 3.50491 3.58323 3.64606 3.72820 4.00114 4.03765 4.05467 4.08862 4.10019 4.15475 4.26872 4.27086 4.36263 4.41014 4.43906 4.52044 4.55726 4.58324 4.60119 4.63480 4.69844 4.72608 4.82653 4.90638 4.94082 5.01570 5.04472 5.07690 5.13229 5.15040 5.18595 5.25034 5.28003 5.29338 5.32984 5.39633 5.47391 5.48060 5.54688 5.58626 6.51994 6.57071 6.79111 7.29814 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.117 4.117 2 C -0.097 4.097 3 C -0.087 4.087 4 C -0.154 4.154 5 C -0.071 4.071 6 O -0.529 6.529 7 Si 0.948 3.052 8 H -0.251 1.251 9 H -0.250 1.250 10 H -0.248 1.248 11 C 0.193 3.807 12 O -0.466 6.466 13 C -0.164 4.164 14 C 0.558 3.442 15 O -0.515 6.515 16 N -0.727 5.727 17 C 0.135 3.865 18 C -0.116 4.116 19 C -0.406 4.406 20 Si 0.989 3.011 21 C -0.403 4.403 22 C -0.122 4.122 23 C -0.118 4.118 24 C -0.408 4.408 25 C -0.405 4.405 26 C -0.116 4.116 27 C -0.068 4.068 28 H 0.075 0.925 29 H 0.070 0.930 30 H 0.071 0.929 31 H 0.131 0.869 32 H 0.116 0.884 33 H 0.374 0.626 34 H 0.394 0.606 35 H 0.397 0.603 36 H 0.091 0.909 37 H 0.072 0.928 38 H 0.072 0.928 39 H 0.081 0.919 40 H 0.084 0.916 41 H 0.078 0.922 42 H 0.077 0.923 43 H 0.063 0.937 44 H 0.064 0.936 45 H 0.062 0.938 46 H 0.061 0.939 47 H 0.077 0.923 48 H 0.078 0.922 49 H 0.080 0.920 50 H 0.081 0.919 51 H 0.065 0.935 52 H 0.069 0.931 53 H 0.131 0.869 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -6.149 -0.932 -1.641 6.432 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 -0.174 4.174 2 C -0.097 4.097 3 C -0.105 4.105 4 C -0.155 4.155 5 C -0.182 4.182 6 O -0.333 6.333 7 Si 0.770 3.230 8 H -0.175 1.175 9 H -0.174 1.174 10 H -0.171 1.171 11 C 0.146 3.854 12 O -0.276 6.276 13 C -0.167 4.167 14 C 0.345 3.655 15 O -0.390 6.390 16 N -0.379 5.379 17 C 0.031 3.969 18 C -0.154 4.154 19 C -0.493 4.493 20 Si 1.184 2.816 21 C -0.490 4.490 22 C -0.159 4.159 23 C -0.156 4.156 24 C -0.494 4.494 25 C -0.492 4.492 26 C -0.154 4.154 27 C -0.086 4.086 28 H 0.094 0.906 29 H 0.089 0.911 30 H 0.090 0.910 31 H 0.149 0.851 32 H 0.133 0.867 33 H 0.221 0.779 34 H 0.252 0.748 35 H 0.232 0.768 36 H 0.109 0.891 37 H 0.091 0.909 38 H 0.091 0.909 39 H 0.099 0.901 40 H 0.102 0.898 41 H 0.096 0.904 42 H 0.096 0.904 43 H 0.082 0.918 44 H 0.083 0.917 45 H 0.081 0.919 46 H 0.080 0.920 47 H 0.096 0.904 48 H 0.097 0.903 49 H 0.098 0.902 50 H 0.100 0.900 51 H 0.084 0.916 52 H 0.088 0.912 53 H 0.149 0.851 Dipole moment (debyes) X Y Z Total from point charges -5.306 -0.230 -1.582 5.541 hybrid contribution -0.633 -0.564 -0.126 0.857 sum -5.938 -0.794 -1.708 6.230 Atomic orbital electron populations 1.20838 0.90086 1.03449 1.02990 1.19775 0.96716 0.92296 1.00919 1.21134 0.92999 0.98516 0.97897 1.20695 0.93888 0.96047 1.04861 1.24863 1.05043 0.98457 0.89839 1.86597 1.36761 1.94145 1.15808 0.85751 0.77781 0.78304 0.81180 1.17472 1.17368 1.17148 1.18197 0.83994 0.89594 0.93647 1.84813 1.13936 1.95854 1.33016 1.20437 0.93932 0.93620 1.08744 1.18020 0.87367 0.83313 0.76756 1.90838 1.12907 1.87232 1.48063 1.46076 1.10175 1.05522 1.76147 1.21124 0.96099 0.82317 0.97340 1.21579 0.98004 0.94815 1.01031 1.26146 1.06946 1.01814 1.14367 0.79811 0.67910 0.66760 0.67142 1.26647 1.04225 1.08248 1.09867 1.22025 0.96546 0.99303 0.98041 1.21842 0.99154 0.97665 0.96947 1.26497 1.11450 1.07967 1.03536 1.26175 1.02406 1.11556 1.09069 1.21678 0.98168 0.99775 0.95802 1.21133 0.92203 0.98242 0.97057 0.90586 0.91094 0.90984 0.85104 0.86652 0.77939 0.74787 0.76782 0.89112 0.90949 0.90931 0.90063 0.89755 0.90355 0.90383 0.91842 0.91693 0.91946 0.92027 0.90377 0.90283 0.90151 0.90028 0.91613 0.91221 0.85097 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 -0.12 0.37 10.00 36.01 0.36 0.73 16 2 C -0.10 0.10 5.87 -104.67 -0.61 -0.51 16 3 C -0.09 0.04 8.30 -39.53 -0.33 -0.29 16 4 C -0.15 -0.11 5.27 -104.51 -0.55 -0.66 16 5 C -0.07 0.00 2.37 36.01 0.09 0.08 16 6 O -0.53 -0.84 12.88 -35.23 -0.45 -1.30 16 7 Si 0.95 -0.90 25.49 -169.99 -4.33 -5.24 16 8 H -0.25 0.33 6.73 56.52 0.38 0.71 16 9 H -0.25 -0.16 7.11 56.52 0.40 0.24 16 10 H -0.25 0.15 7.11 56.52 0.40 0.55 16 11 C 0.19 0.47 6.69 -38.70 -0.26 0.21 16 12 O -0.47 -1.66 10.91 -40.55 -0.44 -2.10 16 13 C -0.16 -0.28 5.89 -104.84 -0.62 -0.90 16 14 C 0.56 1.67 7.48 -12.47 -0.09 1.57 16 15 O -0.51 -3.35 14.77 -16.58 -0.24 -3.60 16 16 N -0.73 0.02 4.99 -55.26 -0.28 -0.25 16 17 C 0.14 0.00 1.96 -68.35 -0.13 -0.14 16 18 C -0.12 0.22 5.11 -26.23 -0.13 0.09 16 19 C -0.41 0.76 4.95 37.87 0.19 0.94 16 20 Si 0.99 -2.05 10.59 -169.99 -1.80 -3.85 16 21 C -0.40 0.54 5.95 38.98 0.23 0.77 16 22 C -0.12 0.06 5.97 -24.50 -0.15 -0.09 16 23 C -0.12 0.03 6.10 -24.89 -0.15 -0.12 16 24 C -0.41 0.27 5.84 38.59 0.23 0.49 16 25 C -0.41 0.22 4.96 37.87 0.19 0.41 16 26 C -0.12 0.01 5.24 -26.22 -0.14 -0.13 16 27 C -0.07 0.06 9.18 -39.20 -0.36 -0.30 16 28 H 0.08 -0.27 8.14 -51.93 -0.42 -0.69 16 29 H 0.07 -0.25 8.08 -51.93 -0.42 -0.67 16 30 H 0.07 -0.29 8.08 -51.93 -0.42 -0.71 16 31 H 0.13 -0.26 4.86 -52.49 -0.26 -0.51 16 32 H 0.12 -0.08 7.83 -51.93 -0.41 -0.48 16 33 H 0.37 -0.66 8.70 45.56 0.40 -0.26 16 34 H 0.39 -0.02 9.06 45.56 0.41 0.39 16 35 H 0.40 -1.10 6.61 -40.82 -0.27 -1.37 16 36 H 0.09 0.18 7.28 -51.93 -0.38 -0.19 16 37 H 0.07 -0.23 7.76 -51.93 -0.40 -0.63 16 38 H 0.07 -0.14 8.13 -51.93 -0.42 -0.56 16 39 H 0.08 -0.12 7.97 -51.93 -0.41 -0.53 16 40 H 0.08 -0.20 7.97 -51.93 -0.41 -0.61 16 41 H 0.08 -0.12 8.04 -51.93 -0.42 -0.53 16 42 H 0.08 -0.12 8.04 -51.93 -0.42 -0.54 16 43 H 0.06 -0.04 8.14 -51.93 -0.42 -0.47 16 44 H 0.06 -0.02 8.14 -51.93 -0.42 -0.45 16 45 H 0.06 0.00 8.14 -51.92 -0.42 -0.42 16 46 H 0.06 -0.03 8.14 -51.93 -0.42 -0.45 16 47 H 0.08 -0.03 8.03 -51.93 -0.42 -0.45 16 48 H 0.08 -0.06 8.03 -51.93 -0.42 -0.48 16 49 H 0.08 -0.06 7.97 -51.93 -0.41 -0.47 16 50 H 0.08 0.03 7.97 -51.93 -0.41 -0.38 16 51 H 0.07 -0.10 7.76 -51.93 -0.40 -0.50 16 52 H 0.07 0.14 7.82 -51.93 -0.41 -0.26 16 53 H 0.13 -0.47 6.40 -52.49 -0.34 -0.81 16 LS Contribution 410.83 15.07 6.19 6.19 Total: 0.00 -8.39 410.83 -11.17 -19.56 By element: Atomic # 1 Polarization: -4.00 SS G_CDS: -7.57 Total: -11.57 kcal Atomic # 6 Polarization: 4.41 SS G_CDS: -2.25 Total: 2.16 kcal Atomic # 7 Polarization: 0.02 SS G_CDS: -0.28 Total: -0.25 kcal Atomic # 8 Polarization: -5.86 SS G_CDS: -1.14 Total: -7.00 kcal Atomic # 14 Polarization: -2.96 SS G_CDS: -6.13 Total: -9.09 kcal Total LS contribution 6.19 Total: 6.19 kcal Total: -8.39 -11.17 -19.56 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. m_22_15739290_13422088.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 -120.527 kcal (2) G-P(sol) polarization free energy of solvation -8.386 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -128.913 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -11.173 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -19.559 kcal (6) G-S(sol) free energy of system = (1) + (5) -140.086 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.25 seconds