Wall clock time and date at job start Tue Mar 31 2020 23:26:09 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 1.52999 * 1 3 3 H 1.09000 * 112.85203 * 2 1 4 4 C 1.53783 * 113.69072 * 228.72946 * 2 1 3 5 5 C 1.53774 * 87.08441 * 220.01246 * 4 2 1 6 6 C 1.53780 * 87.08295 * 25.42908 * 5 4 2 7 7 H 1.09007 * 113.68350 * 89.12897 * 6 5 4 8 8 N 1.46496 * 113.61905 * 220.01919 * 6 5 4 9 9 C 1.34776 * 120.00101 * 252.50369 * 8 6 5 10 10 O 1.21279 * 120.00265 * 359.97438 * 9 8 6 11 11 C 1.50705 * 120.00005 * 180.02562 * 9 8 6 12 12 H 1.09002 * 109.46640 * 299.99587 * 11 9 8 13 13 C 1.53000 * 109.47153 * 59.99392 * 11 9 8 14 14 C 1.53004 * 109.46988 * 184.99960 * 13 11 9 15 15 C 1.50699 * 109.46843 * 180.02562 * 14 13 11 16 16 H 1.08002 * 120.00516 * 359.97438 * 15 14 13 17 17 C 1.37884 * 119.99783 * 180.02562 * 15 14 13 18 18 N 1.31514 * 119.99707 * 0.02562 * 17 15 14 19 19 Si 1.86796 * 119.99956 * 180.27458 * 17 15 14 20 20 H 1.48497 * 109.47172 * 179.72730 * 19 17 15 21 21 H 1.48506 * 109.47132 * 299.72429 * 19 17 15 22 22 H 1.48501 * 109.47173 * 59.72550 * 19 17 15 23 23 N 1.46501 * 109.46995 * 179.97438 * 11 9 8 24 24 C 1.34773 * 120.00315 * 85.00036 * 23 11 9 25 25 O 1.21517 * 119.99450 * 359.97438 * 24 23 11 26 26 O 1.34638 * 120.00276 * 179.97438 * 24 23 11 27 27 C 1.45195 * 117.00027 * 179.97438 * 26 24 23 28 28 C 1.53006 * 109.47082 * 59.99867 * 27 26 24 29 29 C 1.52997 * 109.47196 * 179.97438 * 27 26 24 30 30 C 1.52995 * 109.47472 * 300.00372 * 27 26 24 31 31 H 1.09004 * 109.47257 * 288.80175 * 1 2 3 32 32 H 1.08993 * 109.47216 * 48.80085 * 1 2 3 33 33 H 1.09001 * 109.47095 * 168.80424 * 1 2 3 34 34 H 1.09006 * 113.61211 * 334.55936 * 4 2 1 35 35 H 1.08999 * 113.61408 * 105.45513 * 4 2 1 36 36 H 1.09006 * 113.60968 * 270.88654 * 5 4 2 37 37 H 1.08998 * 113.61778 * 139.98382 * 5 4 2 38 38 H 0.96993 * 119.99886 * 72.49803 * 8 6 5 39 39 H 1.09006 * 109.46826 * 65.00308 * 13 11 9 40 40 H 1.08997 * 109.47123 * 305.00243 * 13 11 9 41 41 H 1.09001 * 109.46361 * 60.00532 * 14 13 11 42 42 H 1.08997 * 109.46991 * 300.00423 * 14 13 11 43 43 H 0.97005 * 119.99656 * 179.97438 * 18 17 15 44 44 H 0.97002 * 119.99651 * 264.99298 * 23 11 9 45 45 H 1.09008 * 109.46837 * 59.99939 * 28 27 26 46 46 H 1.08998 * 109.47013 * 179.97438 * 28 27 26 47 47 H 1.08998 * 109.47369 * 300.00408 * 28 27 26 48 48 H 1.09002 * 109.46848 * 60.00574 * 29 27 26 49 49 H 1.08998 * 109.47365 * 180.02562 * 29 27 26 50 50 H 1.08999 * 109.47581 * 300.00389 * 29 27 26 51 51 H 1.08998 * 109.47421 * 59.99728 * 30 27 26 52 52 H 1.08998 * 109.47373 * 180.02562 * 30 27 26 53 53 H 1.09002 * 109.46913 * 299.99635 * 30 27 26 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 1 1.9533 1.0045 0.0000 4 6 2.1479 -0.9289 -1.0584 5 6 3.1936 -1.3121 0.0019 6 6 2.1460 -0.9281 1.0602 7 1 1.4945 -1.7523 1.3506 8 7 2.7074 -0.2145 2.2099 9 6 2.8152 -0.8353 3.4013 10 8 2.4470 -1.9845 3.5218 11 6 3.3922 -0.1010 4.5841 12 1 4.4116 0.2105 4.3563 13 6 2.5376 1.1318 4.8855 14 6 3.1917 1.9445 6.0048 15 6 2.3496 3.1584 6.3021 16 1 1.4392 3.3331 5.7479 17 6 2.7419 4.0467 7.2809 18 7 3.8513 3.8348 7.9547 19 14 1.6942 5.5473 7.6547 20 1 2.3265 6.3336 8.7442 21 1 1.5834 6.3895 6.4366 22 1 0.3398 5.1118 8.0804 23 7 3.4008 -0.9860 5.7515 24 6 4.4272 -1.8380 5.9438 25 8 5.3453 -1.8724 5.1485 26 8 4.4353 -2.6511 7.0169 27 6 5.5722 -3.5428 7.1597 28 6 6.8576 -2.7187 7.2585 29 6 5.4062 -4.3818 8.4283 30 6 5.6514 -4.4671 5.9431 31 1 -0.3634 0.3312 0.9729 32 1 -0.3633 0.6768 -0.7732 33 1 -0.3633 -1.0081 -0.1995 34 1 1.4974 -1.7541 -1.3483 35 1 2.5670 -0.3986 -1.9135 36 1 4.0717 -0.6662 0.0025 37 1 3.4466 -2.3722 0.0025 38 1 3.0017 0.7047 2.1136 39 1 1.5426 0.8162 5.1995 40 1 2.4578 1.7466 3.9890 41 1 4.1866 2.2601 5.6907 42 1 3.2715 1.3296 6.9012 43 1 4.1275 4.4599 8.6431 44 1 2.6677 -0.9587 6.3862 45 1 6.8012 -2.0601 8.1253 46 1 7.7110 -3.3882 7.3661 47 1 6.9761 -2.1206 6.3550 48 1 4.4905 -4.9690 8.3583 49 1 6.2598 -5.0510 8.5358 50 1 5.3500 -3.7231 9.2949 51 1 5.7700 -3.8691 5.0395 52 1 6.5046 -5.1369 6.0505 53 1 4.7358 -5.0543 5.8727 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 ZINC000496202999.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 23:26:09 Heat of formation + Delta-G solvation = -122.622797 kcal Electronic energy + Delta-G solvation = -31211.441000 eV Core-core repulsion = 27083.161418 eV Total energy + Delta-G solvation = -4128.279582 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.06 seconds Orbital eigenvalues (eV) -40.64759 -40.03004 -38.59816 -36.91638 -35.22300 -33.96719 -33.38786 -33.04118 -30.98503 -29.92432 -27.74485 -27.33468 -27.25172 -25.08240 -23.81921 -23.15180 -22.18115 -20.83159 -20.25259 -19.76761 -19.53254 -17.91435 -17.17323 -16.87333 -16.29588 -16.08322 -15.61187 -15.12293 -14.87114 -14.60021 -14.40755 -14.27096 -14.17667 -13.78320 -13.63189 -13.35290 -13.31953 -12.96342 -12.74338 -12.42638 -12.28413 -12.09395 -11.97672 -11.82164 -11.78694 -11.76009 -11.66006 -11.34590 -11.30878 -11.15246 -11.00066 -10.87144 -10.71243 -10.59336 -10.44209 -10.19391 -10.09720 -10.01179 -9.73503 -9.55656 -9.22009 -8.87613 -8.63431 -8.41437 -6.06768 -4.10737 2.42576 2.86689 3.12006 3.28805 3.34374 3.35795 3.50539 4.29877 4.39155 4.45713 4.46161 4.67633 4.76359 4.82370 4.86365 4.98573 5.00906 5.23953 5.29063 5.34219 5.35389 5.51389 5.54913 5.55963 5.58383 5.60576 5.64010 5.73029 5.73890 5.74973 5.83853 5.84682 5.94400 5.97172 6.04270 6.06801 6.09099 6.23335 6.39555 6.40310 6.43202 6.62342 6.66766 6.79364 6.82568 7.56005 7.63714 7.65494 7.80097 7.90383 8.29515 8.42129 8.75848 8.95498 9.54098 11.03933 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.005253 B = 0.004817 C = 0.002650 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 5329.407963 B = 5811.617152 C =10561.688326 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.143 4.143 2 C -0.120 4.120 3 H 0.095 0.905 4 C -0.135 4.135 5 C -0.154 4.154 6 C 0.128 3.872 7 H 0.112 0.888 8 N -0.720 5.720 9 C 0.508 3.492 10 O -0.538 6.538 11 C 0.148 3.852 12 H 0.114 0.886 13 C -0.114 4.114 14 C 0.025 3.975 15 C -0.526 4.526 16 H 0.056 0.944 17 C 0.060 3.940 18 N -0.891 5.891 19 Si 0.892 3.108 20 H -0.287 1.287 21 H -0.277 1.277 22 H -0.277 1.277 23 N -0.678 5.678 24 C 0.661 3.339 25 O -0.575 6.575 26 O -0.363 6.363 27 C 0.137 3.863 28 C -0.184 4.184 29 C -0.140 4.140 30 C -0.181 4.181 31 H 0.060 0.940 32 H 0.056 0.944 33 H 0.055 0.945 34 H 0.082 0.918 35 H 0.071 0.929 36 H 0.084 0.916 37 H 0.070 0.930 38 H 0.403 0.597 39 H 0.063 0.937 40 H 0.073 0.927 41 H 0.019 0.981 42 H 0.023 0.977 43 H 0.262 0.738 44 H 0.411 0.589 45 H 0.061 0.939 46 H 0.066 0.934 47 H 0.089 0.911 48 H 0.065 0.935 49 H 0.077 0.923 50 H 0.067 0.933 51 H 0.088 0.912 52 H 0.065 0.935 53 H 0.058 0.942 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 0.086 -12.660 -10.926 16.724 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 -0.200 4.200 2 C -0.139 4.139 3 H 0.113 0.887 4 C -0.173 4.173 5 C -0.193 4.193 6 C 0.023 3.977 7 H 0.130 0.870 8 N -0.372 5.372 9 C 0.293 3.707 10 O -0.414 6.414 11 C 0.040 3.960 12 H 0.132 0.868 13 C -0.152 4.152 14 C -0.013 4.013 15 C -0.565 4.565 16 H 0.074 0.926 17 C -0.142 4.142 18 N -0.530 5.530 19 Si 0.720 3.280 20 H -0.213 1.213 21 H -0.202 1.202 22 H -0.202 1.202 23 N -0.335 5.335 24 C 0.415 3.585 25 O -0.465 6.465 26 O -0.278 6.278 27 C 0.100 3.900 28 C -0.241 4.241 29 C -0.197 4.197 30 C -0.238 4.238 31 H 0.079 0.921 32 H 0.075 0.925 33 H 0.074 0.926 34 H 0.101 0.899 35 H 0.090 0.910 36 H 0.103 0.897 37 H 0.088 0.912 38 H 0.238 0.762 39 H 0.082 0.918 40 H 0.092 0.908 41 H 0.038 0.962 42 H 0.041 0.959 43 H 0.072 0.928 44 H 0.247 0.753 45 H 0.080 0.920 46 H 0.085 0.915 47 H 0.108 0.892 48 H 0.084 0.916 49 H 0.096 0.904 50 H 0.086 0.914 51 H 0.107 0.893 52 H 0.084 0.916 53 H 0.077 0.923 Dipole moment (debyes) X Y Z Total from point charges 0.429 -13.510 -11.002 17.428 hybrid contribution -0.614 1.312 0.480 1.526 sum -0.185 -12.198 -10.522 16.110 Atomic orbital electron populations 1.21726 0.94378 1.01805 1.02133 1.22981 0.96235 0.99045 0.95662 0.88676 1.22816 0.98379 0.99434 0.96659 1.23395 0.97862 1.02138 0.95931 1.22604 0.95542 0.95934 0.83622 0.87032 1.45970 1.64717 1.16940 1.09539 1.21448 0.77629 0.87188 0.84404 1.90648 1.48790 1.17584 1.84421 1.21084 1.03064 0.89438 0.82436 0.86804 1.22020 0.98353 0.92368 1.02483 1.19109 0.95894 0.94051 0.92203 1.21130 1.08379 1.07481 1.19462 0.92625 1.25001 0.95084 0.98098 0.96002 1.69954 1.22492 1.36974 1.23538 0.86665 0.80544 0.82857 0.77966 1.21299 1.20238 1.20228 1.44203 1.23338 1.38924 1.27004 1.17916 0.82431 0.78365 0.79791 1.90842 1.36944 1.71596 1.47147 1.86293 1.47422 1.49574 1.44494 1.21989 0.83708 0.88069 0.96251 1.22522 0.95930 1.01014 1.04633 1.21846 1.02786 0.99291 0.95801 1.22492 1.02000 0.99748 0.99595 0.92134 0.92484 0.92578 0.89945 0.91010 0.89698 0.91171 0.76184 0.91792 0.90810 0.96234 0.95894 0.92841 0.75301 0.91954 0.91530 0.89244 0.91614 0.90428 0.91379 0.89319 0.91567 0.92338 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 -1.25 9.71 37.16 0.36 -0.89 16 2 C -0.12 -1.08 4.11 -89.81 -0.37 -1.45 16 3 H 0.10 0.81 8.12 -51.93 -0.42 0.39 16 4 C -0.13 -1.11 7.64 -25.92 -0.20 -1.30 16 5 C -0.15 -1.57 7.88 -25.92 -0.20 -1.77 16 6 C 0.13 1.48 3.80 -67.12 -0.26 1.23 16 7 H 0.11 1.49 7.42 -51.93 -0.39 1.10 16 8 N -0.72 -9.35 5.22 -53.02 -0.28 -9.62 16 9 C 0.51 8.41 7.19 -10.98 -0.08 8.33 16 10 O -0.54 -10.56 15.92 5.56 0.09 -10.47 16 11 C 0.15 2.53 2.38 -69.08 -0.16 2.37 16 12 H 0.11 2.02 7.58 -51.93 -0.39 1.63 16 13 C -0.11 -2.05 4.64 -26.73 -0.12 -2.18 16 14 C 0.02 0.58 4.86 -27.88 -0.14 0.44 16 15 C -0.53 -13.86 9.11 -34.44 -0.31 -14.17 16 16 H 0.06 1.41 7.74 -52.49 -0.41 1.00 16 17 C 0.06 1.65 5.46 -17.82 -0.10 1.55 16 18 N -0.89 -25.80 13.29 55.43 0.74 -25.07 16 19 Si 0.89 20.82 29.54 -169.99 -5.02 15.80 16 20 H -0.29 -6.71 7.11 56.52 0.40 -6.31 16 21 H -0.28 -6.33 7.11 56.52 0.40 -5.93 16 22 H -0.28 -6.37 7.11 56.52 0.40 -5.97 16 23 N -0.68 -12.17 4.06 -59.86 -0.24 -12.42 16 24 C 0.66 12.43 7.89 54.05 0.43 12.85 16 25 O -0.58 -11.48 11.54 -19.29 -0.22 -11.71 16 26 O -0.36 -6.23 9.94 -40.32 -0.40 -6.63 16 27 C 0.14 1.93 1.13 -90.62 -0.10 1.82 16 28 C -0.18 -2.55 8.37 37.16 0.31 -2.24 16 29 C -0.14 -1.52 8.85 37.16 0.33 -1.19 16 30 C -0.18 -2.46 8.37 37.15 0.31 -2.14 16 31 H 0.06 0.59 8.14 -51.93 -0.42 0.16 16 32 H 0.06 0.44 8.14 -51.93 -0.42 0.01 16 33 H 0.06 0.47 7.95 -51.93 -0.41 0.05 16 34 H 0.08 0.63 7.97 -51.93 -0.41 0.22 16 35 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 36 H 0.08 0.85 8.14 -51.93 -0.42 0.42 16 37 H 0.07 0.75 8.14 -51.93 -0.42 0.33 16 38 H 0.40 4.47 8.09 -40.82 -0.33 4.14 16 39 H 0.06 1.14 8.14 -51.93 -0.42 0.72 16 40 H 0.07 1.20 7.43 -51.93 -0.39 0.81 16 41 H 0.02 0.49 8.14 -51.93 -0.42 0.07 16 42 H 0.02 0.58 7.75 -51.93 -0.40 0.17 16 43 H 0.26 7.23 8.31 -40.82 -0.34 6.89 16 44 H 0.41 7.01 8.71 -40.82 -0.36 6.66 16 45 H 0.06 0.87 8.14 -51.92 -0.42 0.45 16 46 H 0.07 0.74 8.14 -51.93 -0.42 0.32 16 47 H 0.09 1.47 5.88 -51.93 -0.31 1.16 16 48 H 0.06 0.68 8.14 -51.93 -0.42 0.26 16 49 H 0.08 0.66 8.14 -51.93 -0.42 0.23 16 50 H 0.07 0.73 8.14 -51.93 -0.42 0.31 16 51 H 0.09 1.45 5.88 -51.93 -0.31 1.14 16 52 H 0.07 0.72 8.14 -51.93 -0.42 0.30 16 53 H 0.06 0.78 8.14 -51.93 -0.42 0.36 16 LS Contribution 425.02 15.07 6.40 6.40 Total: -1.00 -32.45 425.02 -8.81 -41.25 By element: Atomic # 1 Polarization: 20.77 SS G_CDS: -9.57 Total: 11.20 kcal Atomic # 6 Polarization: 1.56 SS G_CDS: -0.30 Total: 1.26 kcal Atomic # 7 Polarization: -47.32 SS G_CDS: 0.22 Total: -47.11 kcal Atomic # 8 Polarization: -28.28 SS G_CDS: -0.53 Total: -28.81 kcal Atomic # 14 Polarization: 20.82 SS G_CDS: -5.02 Total: 15.80 kcal Total LS contribution 6.40 Total: 6.40 kcal Total: -32.45 -8.81 -41.25 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. ZINC000496202999.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 -81.368 kcal (2) G-P(sol) polarization free energy of solvation -32.445 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -113.813 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.809 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.255 kcal (6) G-S(sol) free energy of system = (1) + (5) -122.623 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.07 seconds