Wall clock time and date at job start Sat Apr 11 2020 06:13:58 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 1.53002 * 1 3 3 N 1.46900 * 109.47063 * 2 1 4 4 C 1.46904 * 110.99924 * 287.97449 * 3 2 1 5 5 C 1.50698 * 109.46891 * 84.95658 * 4 3 2 6 6 O 1.21288 * 120.00289 * 7.13480 * 5 4 3 7 7 N 1.34785 * 119.99886 * 187.14441 * 5 4 3 8 8 C 1.37090 * 120.00234 * 180.02562 * 7 5 4 9 9 H 1.08000 * 120.00063 * 359.97438 * 8 7 5 10 10 C 1.38947 * 120.00083 * 179.97438 * 8 7 5 11 11 N 1.31414 * 120.00045 * 179.97438 * 10 8 7 12 12 Si 1.86802 * 120.00010 * 359.97438 * 10 8 7 13 13 H 1.48501 * 109.46843 * 90.00469 * 12 10 8 14 14 H 1.48503 * 109.47159 * 210.00037 * 12 10 8 15 15 H 1.48500 * 109.47119 * 330.00433 * 12 10 8 16 16 C 1.46901 * 110.99922 * 164.02045 * 3 2 1 17 17 H 1.08998 * 109.46630 * 178.94946 * 16 3 2 18 18 C 1.53002 * 109.47139 * 58.95458 * 16 3 2 19 19 C 1.52996 * 109.46927 * 298.95133 * 16 3 2 20 20 N 1.46501 * 109.47491 * 304.99855 * 19 16 3 21 21 C 1.34775 * 120.00035 * 180.02562 * 20 19 16 22 22 O 1.21283 * 119.99951 * 359.97438 * 21 20 19 23 23 C 1.50696 * 119.99795 * 180.02562 * 21 20 19 24 24 H 1.08999 * 110.33510 * 320.79565 * 23 21 20 25 25 C 1.54905 * 110.37673 * 83.16913 * 23 21 20 26 26 C 1.55145 * 101.65476 * 155.89630 * 25 23 21 27 27 C 1.54315 * 103.01688 * 324.34972 * 26 25 23 28 28 N 1.47436 * 107.23780 * 22.28166 * 27 26 25 29 29 C 1.46907 * 111.00091 * 123.25350 * 28 27 26 30 30 H 1.09000 * 109.46651 * 68.73190 * 1 2 3 31 31 H 1.08999 * 109.47462 * 308.73296 * 1 2 3 32 32 H 1.08996 * 109.47065 * 188.72597 * 1 2 3 33 33 H 1.09004 * 109.46369 * 119.99487 * 2 1 3 34 34 H 1.08998 * 109.47610 * 239.99500 * 2 1 3 35 35 H 1.08990 * 109.46886 * 204.95587 * 4 3 2 36 36 H 1.08995 * 109.46731 * 324.95407 * 4 3 2 37 37 H 0.97006 * 119.99448 * 359.97438 * 7 5 4 38 38 H 0.97003 * 119.99929 * 179.97438 * 11 10 8 39 39 H 1.09002 * 109.46837 * 300.00045 * 18 16 3 40 40 H 1.09001 * 109.47194 * 59.99820 * 18 16 3 41 41 H 1.08994 * 109.46972 * 179.97438 * 18 16 3 42 42 H 1.08995 * 109.47231 * 65.00408 * 19 16 3 43 43 H 1.09000 * 109.46770 * 185.00137 * 19 16 3 44 44 H 0.96994 * 119.99562 * 0.02562 * 20 19 16 45 45 H 1.08996 * 110.99472 * 273.99399 * 25 23 21 46 46 H 1.09001 * 110.98730 * 37.80979 * 25 23 21 47 47 H 1.09003 * 110.70192 * 205.96438 * 26 25 23 48 48 H 1.08999 * 110.84974 * 82.80689 * 26 25 23 49 49 H 1.08997 * 109.88764 * 262.87035 * 27 26 25 50 50 H 1.09003 * 109.88352 * 141.68883 * 27 26 25 51 51 H 1.08994 * 109.47187 * 299.15896 * 29 28 27 52 52 H 1.08996 * 109.46828 * 59.16146 * 29 28 27 53 53 H 1.08998 * 109.46622 * 179.15778 * 29 28 27 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 7 2.0197 1.3850 0.0000 4 6 1.7961 2.0224 -1.3045 5 6 0.3986 2.5837 -1.3564 6 8 -0.2937 2.5805 -0.3604 7 7 -0.0823 3.0892 -2.5096 8 6 -1.3535 3.6004 -2.5567 9 1 -1.9698 3.5976 -1.6699 10 6 -1.8489 4.1220 -3.7455 11 7 -3.0676 4.6115 -3.7907 12 14 -0.7826 4.1274 -5.2792 13 1 -0.9945 2.8661 -6.0338 14 1 -1.1518 5.2839 -6.1346 15 1 0.6459 4.2366 -4.8886 16 6 3.4382 1.4418 0.3776 17 1 3.7798 2.4766 0.3514 18 6 4.2616 0.6079 -0.6061 19 6 3.6125 0.8826 1.7909 20 7 2.7331 1.6046 2.7138 21 6 2.7177 1.2811 4.0220 22 8 3.4317 0.3920 4.4353 23 6 1.8127 2.0234 4.9711 24 1 1.7904 3.0842 4.7217 25 6 0.3834 1.4274 4.9307 26 6 -0.1671 1.8388 6.3216 27 6 1.0735 1.7293 7.2328 28 7 2.2622 1.8321 6.3666 29 6 3.1321 2.9356 6.7953 30 1 -0.3632 0.3728 -0.9577 31 1 -0.3634 0.6430 0.8016 32 1 -0.3633 -1.0157 0.1559 33 1 1.8932 -0.5138 0.8901 34 1 1.8934 -0.5139 -0.8899 35 1 2.5167 2.8282 -1.4433 36 1 1.9205 1.2834 -2.0960 37 1 0.4715 3.0920 -3.3061 38 1 -3.4134 4.9760 -4.6205 39 1 3.9198 -0.4268 -0.5801 40 1 4.1373 1.0064 -1.6131 41 1 5.3141 0.6505 -0.3262 42 1 3.3548 -0.1764 1.7970 43 1 4.6489 1.0061 2.1052 44 1 2.1619 2.3154 2.3831 45 1 -0.2042 1.8760 4.1299 46 1 0.4155 0.3426 4.8288 47 1 -0.9463 1.1494 6.6469 48 1 -0.5428 2.8618 6.3031 49 1 1.0718 0.7686 7.7477 50 1 1.0727 2.5419 7.9594 51 1 2.5850 3.8760 6.7301 52 1 3.4484 2.7698 7.8251 53 1 4.0085 2.9794 6.1487 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 ZINC001152386654.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 06:13:58 Heat of formation + Delta-G solvation = -47.635454 kcal Electronic energy + Delta-G solvation = -31404.089348 eV Core-core repulsion = 27311.354213 eV Total energy + Delta-G solvation = -4092.735136 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.76 seconds Orbital eigenvalues (eV) -40.24908 -39.34446 -38.11374 -37.30146 -34.38719 -33.82034 -32.29962 -31.83819 -31.66199 -30.14757 -29.49195 -26.85061 -26.19209 -25.75436 -24.04551 -22.76024 -22.15808 -21.24030 -20.01287 -19.56569 -19.17724 -18.26491 -17.33364 -16.63825 -16.26539 -15.80875 -15.67804 -15.39016 -15.04095 -14.90819 -14.53291 -14.36763 -14.16335 -13.57125 -13.52775 -13.35997 -13.17403 -13.03241 -12.80217 -12.73105 -12.48274 -12.44178 -12.31358 -12.20146 -11.92754 -11.86099 -11.67047 -11.45532 -11.41027 -11.31978 -11.19408 -10.95344 -10.92064 -10.76437 -10.61174 -10.37564 -9.97879 -9.65688 -9.48334 -8.89373 -8.57145 -8.47862 -8.14651 -8.00509 -6.30954 -3.81769 2.75985 3.00920 3.05310 3.08570 3.13978 3.74754 3.80531 3.98668 4.09822 4.40996 4.49308 4.62727 4.75549 4.78234 4.93619 4.98336 5.03652 5.13421 5.16743 5.17789 5.19446 5.23606 5.31622 5.44012 5.46213 5.50436 5.56597 5.62240 5.65072 5.67225 5.68172 5.74919 5.77647 5.80987 5.86460 5.92626 5.94831 6.03286 6.04393 6.23422 6.52389 6.55389 6.66526 6.81839 6.95016 7.11312 7.29506 7.59574 7.73025 8.15500 8.42481 8.62001 8.97012 9.43987 9.86974 10.82434 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.013541 B = 0.002802 C = 0.002497 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2067.271698 B = 9989.687690 C =11212.431313 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.139 4.139 2 C 0.054 3.946 3 N -0.506 5.506 4 C 0.042 3.958 5 C 0.456 3.544 6 O -0.549 6.549 7 N -0.597 5.597 8 C -0.301 4.301 9 H 0.119 0.881 10 C 0.040 3.960 11 N -0.884 5.884 12 Si 0.878 3.122 13 H -0.272 1.272 14 H -0.278 1.278 15 H -0.270 1.270 16 C 0.066 3.934 17 H 0.090 0.910 18 C -0.184 4.184 19 C 0.133 3.867 20 N -0.717 5.717 21 C 0.521 3.479 22 O -0.530 6.530 23 C 0.055 3.945 24 H 0.076 0.924 25 C -0.115 4.115 26 C -0.141 4.141 27 C 0.044 3.956 28 N -0.513 5.513 29 C 0.022 3.978 30 H 0.057 0.943 31 H 0.078 0.922 32 H 0.038 0.962 33 H 0.071 0.929 34 H 0.029 0.971 35 H 0.085 0.915 36 H 0.053 0.947 37 H 0.368 0.632 38 H 0.272 0.728 39 H 0.061 0.939 40 H 0.062 0.938 41 H 0.062 0.938 42 H 0.066 0.934 43 H 0.067 0.933 44 H 0.412 0.588 45 H 0.089 0.911 46 H 0.080 0.920 47 H 0.079 0.921 48 H 0.071 0.929 49 H 0.079 0.921 50 H 0.057 0.943 51 H 0.027 0.973 52 H 0.070 0.930 53 H 0.066 0.934 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 13.429 -5.397 12.964 19.431 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 -0.196 4.196 2 C -0.073 4.073 3 N -0.230 5.230 4 C -0.090 4.090 5 C 0.241 3.759 6 O -0.430 6.430 7 N -0.238 5.238 8 C -0.429 4.429 9 H 0.137 0.863 10 C -0.162 4.162 11 N -0.525 5.525 12 Si 0.705 3.295 13 H -0.198 1.198 14 H -0.203 1.203 15 H -0.196 1.196 16 C -0.044 4.044 17 H 0.108 0.892 18 C -0.244 4.244 19 C 0.008 3.992 20 N -0.370 5.370 21 C 0.306 3.694 22 O -0.406 6.406 23 C -0.057 4.057 24 H 0.094 0.906 25 C -0.154 4.154 26 C -0.180 4.180 27 C -0.084 4.084 28 N -0.237 5.237 29 C -0.126 4.126 30 H 0.076 0.924 31 H 0.097 0.903 32 H 0.057 0.943 33 H 0.089 0.911 34 H 0.047 0.953 35 H 0.103 0.897 36 H 0.071 0.929 37 H 0.200 0.800 38 H 0.083 0.917 39 H 0.080 0.920 40 H 0.081 0.919 41 H 0.081 0.919 42 H 0.085 0.915 43 H 0.086 0.914 44 H 0.248 0.752 45 H 0.108 0.892 46 H 0.099 0.901 47 H 0.098 0.902 48 H 0.089 0.911 49 H 0.098 0.902 50 H 0.075 0.925 51 H 0.046 0.954 52 H 0.089 0.911 53 H 0.085 0.915 Dipole moment (debyes) X Y Z Total from point charges 13.329 -6.133 14.237 20.445 hybrid contribution 0.533 0.828 -2.383 2.578 sum 13.862 -5.306 11.854 18.995 Atomic orbital electron populations 1.21829 0.93611 0.99793 1.04389 1.22196 0.97316 0.87953 0.99855 1.61762 1.14555 1.17703 1.28968 1.21963 0.97731 0.98958 0.90327 1.19632 0.88226 0.83860 0.84197 1.90541 1.59396 1.58853 1.34177 1.42245 1.15180 1.56424 1.09911 1.19390 0.88661 1.35468 0.99412 0.86314 1.25019 0.96054 0.97350 0.97808 1.69619 1.15127 1.40066 1.27653 0.86701 0.80251 0.78777 0.83792 1.19775 1.20297 1.19583 1.22082 0.88316 1.00383 0.93575 0.89238 1.22436 1.00791 1.01094 1.00043 1.21344 0.93996 0.96499 0.87337 1.45872 1.44361 1.39640 1.07121 1.20289 0.82866 0.83931 0.82343 1.90664 1.41700 1.30924 1.77275 1.22502 0.94655 0.98961 0.89608 0.90627 1.22647 0.92578 1.02088 0.98047 1.22795 0.97981 1.02170 0.95021 1.22852 0.88217 1.02026 0.95265 1.63091 1.17016 1.43271 1.00323 1.22547 0.97220 0.91221 1.01630 0.92369 0.90318 0.94277 0.91109 0.95324 0.89704 0.92911 0.79956 0.91710 0.91985 0.91879 0.91874 0.91541 0.91435 0.75163 0.89199 0.90096 0.90222 0.91055 0.90240 0.92503 0.95400 0.91111 0.91475 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 -0.14 -2.26 8.41 37.16 0.31 -1.95 16 2 C 0.05 0.73 4.57 -3.82 -0.02 0.72 16 3 N -0.51 -6.82 3.46 -228.09 -0.79 -7.61 16 4 C 0.04 0.62 4.41 -4.97 -0.02 0.60 16 5 C 0.46 9.43 6.22 -10.98 -0.07 9.36 16 6 O -0.55 -13.10 13.09 5.55 0.07 -13.03 16 7 N -0.60 -13.46 5.09 -10.97 -0.06 -13.52 16 8 C -0.30 -8.17 10.16 -14.94 -0.15 -8.32 16 9 H 0.12 3.69 7.39 -52.49 -0.39 3.31 16 10 C 0.04 1.08 5.50 -17.47 -0.10 0.98 16 11 N -0.88 -25.41 13.96 55.50 0.77 -24.64 16 12 Si 0.88 19.00 27.74 -169.99 -4.71 14.29 16 13 H -0.27 -5.81 7.11 56.52 0.40 -5.41 16 14 H -0.28 -6.07 7.11 56.52 0.40 -5.67 16 15 H -0.27 -5.31 6.52 56.52 0.37 -4.94 16 16 C 0.07 0.69 2.41 -67.71 -0.16 0.53 16 17 H 0.09 0.91 7.93 -51.93 -0.41 0.50 16 18 C -0.18 -1.66 8.61 37.16 0.32 -1.34 16 19 C 0.13 1.49 4.75 -4.04 -0.02 1.47 16 20 N -0.72 -8.68 5.39 -60.30 -0.32 -9.01 16 21 C 0.52 7.10 7.11 -10.99 -0.08 7.02 16 22 O -0.53 -9.10 16.59 5.56 0.09 -9.00 16 23 C 0.05 0.63 2.84 -67.34 -0.19 0.44 16 24 H 0.08 0.79 7.77 -51.93 -0.40 0.39 16 25 C -0.12 -1.24 6.48 -24.59 -0.16 -1.40 16 26 C -0.14 -1.25 6.94 -24.91 -0.17 -1.43 16 27 C 0.04 0.41 6.90 -2.84 -0.02 0.39 16 28 N -0.51 -5.93 4.69 -232.99 -1.09 -7.02 16 29 C 0.02 0.21 9.12 60.07 0.55 0.76 16 30 H 0.06 1.11 6.22 -51.93 -0.32 0.78 16 31 H 0.08 1.45 7.14 -51.93 -0.37 1.08 16 32 H 0.04 0.56 8.14 -51.93 -0.42 0.14 16 33 H 0.07 0.91 5.77 -51.93 -0.30 0.61 16 34 H 0.03 0.36 6.84 -51.93 -0.35 0.01 16 35 H 0.08 1.11 7.66 -51.93 -0.40 0.72 16 36 H 0.05 0.72 7.44 -51.93 -0.39 0.34 16 37 H 0.37 7.39 5.76 -40.82 -0.24 7.15 16 38 H 0.27 7.26 8.31 -40.82 -0.34 6.92 16 39 H 0.06 0.57 6.76 -51.93 -0.35 0.22 16 40 H 0.06 0.57 7.24 -51.93 -0.38 0.19 16 41 H 0.06 0.49 8.14 -51.93 -0.42 0.06 16 42 H 0.07 0.81 6.37 -51.93 -0.33 0.48 16 43 H 0.07 0.74 8.14 -51.93 -0.42 0.31 16 44 H 0.41 5.04 8.14 -40.82 -0.33 4.70 16 45 H 0.09 0.97 8.14 -51.93 -0.42 0.55 16 46 H 0.08 0.96 8.05 -51.93 -0.42 0.54 16 47 H 0.08 0.63 8.14 -51.93 -0.42 0.21 16 48 H 0.07 0.59 8.14 -51.93 -0.42 0.17 16 49 H 0.08 0.74 8.14 -51.93 -0.42 0.32 16 50 H 0.06 0.45 7.58 -51.93 -0.39 0.06 16 51 H 0.03 0.23 8.09 -51.93 -0.42 -0.19 16 52 H 0.07 0.59 8.14 -51.93 -0.42 0.17 16 53 H 0.07 0.68 8.14 -51.93 -0.42 0.26 16 LS Contribution 408.91 15.07 6.16 6.16 Total: -1.00 -32.52 408.91 -9.02 -41.54 By element: Atomic # 1 Polarization: 23.16 SS G_CDS: -9.17 Total: 13.99 kcal Atomic # 6 Polarization: 7.82 SS G_CDS: 0.02 Total: 7.85 kcal Atomic # 7 Polarization: -60.31 SS G_CDS: -1.49 Total: -61.79 kcal Atomic # 8 Polarization: -22.20 SS G_CDS: 0.16 Total: -22.03 kcal Atomic # 14 Polarization: 19.00 SS G_CDS: -4.71 Total: 14.29 kcal Total LS contribution 6.16 Total: 6.16 kcal Total: -32.52 -9.02 -41.54 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. ZINC001152386654.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 -6.097 kcal (2) G-P(sol) polarization free energy of solvation -32.518 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -38.615 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.020 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.538 kcal (6) G-S(sol) free energy of system = (1) + (5) -47.635 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.76 seconds