Wall clock time and date at job start Tue Mar 31 2020 20:28:26 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 1.52998 * 1 3 3 C 1.53004 * 109.47259 * 2 1 4 4 H 1.09000 * 109.46578 * 304.99763 * 3 2 1 5 5 C 1.52997 * 109.46950 * 184.99909 * 3 2 1 6 6 N 1.46498 * 109.46765 * 65.00122 * 3 2 1 7 7 C 1.34322 * 122.73500 * 59.89622 * 6 3 2 8 8 O 1.21225 * 125.60781 * 0.02898 * 7 6 3 9 9 C 1.51450 * 108.97596 * 179.97438 * 7 6 3 10 10 C 1.53739 * 103.50630 * 0.14302 * 9 7 6 11 11 C 1.52535 * 110.29797 * 241.24408 * 10 9 7 12 12 C 1.53228 * 109.20626 * 181.34758 * 11 10 9 13 13 C 1.53036 * 109.20028 * 56.75956 * 12 11 10 14 14 N 1.46848 * 109.62953 * 300.35558 * 13 12 11 15 15 C 1.46903 * 110.99932 * 186.23758 * 14 13 12 16 16 C 1.53004 * 109.46933 * 65.86467 * 15 14 13 17 17 C 1.52997 * 109.46990 * 180.02562 * 16 15 14 18 18 C 1.50701 * 109.47246 * 179.97438 * 17 16 15 19 19 H 1.07997 * 119.99750 * 0.02562 * 18 17 16 20 20 C 1.37877 * 119.99863 * 179.97438 * 18 17 16 21 21 N 1.31512 * 119.99657 * 180.02562 * 20 18 17 22 22 Si 1.86799 * 120.00218 * 359.97438 * 20 18 17 23 23 H 1.48498 * 109.47242 * 90.00260 * 22 20 18 24 24 H 1.48502 * 109.47127 * 210.00258 * 22 20 18 25 25 H 1.48505 * 109.47214 * 329.99803 * 22 20 18 26 26 C 1.46953 * 111.14522 * 62.18085 * 14 13 12 27 27 C 1.34056 * 122.78141 * 240.00044 * 6 3 2 28 28 O 1.21227 * 125.50011 * 0.02745 * 27 6 3 29 29 H 1.09003 * 109.47152 * 179.97438 * 1 2 3 30 30 H 1.09002 * 109.47101 * 299.99963 * 1 2 3 31 31 H 1.09003 * 109.46766 * 60.00112 * 1 2 3 32 32 H 1.09002 * 109.47101 * 240.00037 * 2 1 3 33 33 H 1.09000 * 109.47337 * 120.00367 * 2 1 3 34 34 H 1.09001 * 109.47284 * 300.00158 * 5 3 2 35 35 H 1.08999 * 109.47502 * 60.00186 * 5 3 2 36 36 H 1.09003 * 109.46835 * 180.02562 * 5 3 2 37 37 H 1.09002 * 110.64410 * 241.59018 * 9 7 6 38 38 H 1.08996 * 110.64052 * 118.68792 * 9 7 6 39 39 H 1.08991 * 109.51734 * 301.27187 * 11 10 9 40 40 H 1.09004 * 109.50716 * 61.43211 * 11 10 9 41 41 H 1.09000 * 109.51573 * 296.84354 * 12 11 10 42 42 H 1.08999 * 109.51372 * 176.68180 * 12 11 10 43 43 H 1.09005 * 109.44552 * 180.30712 * 13 12 11 44 44 H 1.09006 * 109.41925 * 60.38829 * 13 12 11 45 45 H 1.09004 * 109.46990 * 185.85691 * 15 14 13 46 46 H 1.08994 * 109.46971 * 305.86162 * 15 14 13 47 47 H 1.09004 * 109.46649 * 299.99432 * 16 15 14 48 48 H 1.08994 * 109.47541 * 60.00044 * 16 15 14 49 49 H 1.09007 * 109.47117 * 299.99660 * 17 16 15 50 50 H 1.08997 * 109.47622 * 59.99220 * 17 16 15 51 51 H 0.97001 * 120.00273 * 179.97438 * 21 20 18 52 52 H 1.08995 * 109.45256 * 179.19572 * 26 14 13 53 53 H 1.09006 * 109.45074 * 59.26954 * 26 14 13 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 1.6054 1.9815 -0.8419 5 6 3.5648 1.4443 -0.1257 6 7 1.6525 2.0974 1.2518 7 6 2.0422 1.6497 2.4568 8 8 2.7412 0.6797 2.6570 9 6 1.4680 2.5539 3.5275 10 6 0.6754 3.6000 2.7269 11 6 1.2410 4.9950 2.9735 12 6 0.4130 6.0201 2.1915 13 6 -1.0550 5.9046 2.6083 14 7 -1.5433 4.5492 2.3241 15 6 -2.9872 4.4466 2.5745 16 6 -3.7418 5.3265 1.5757 17 6 -5.2455 5.2201 1.8369 18 6 -5.9887 6.0873 0.8536 19 1 -5.4431 6.6569 0.1159 20 6 -7.3653 6.1525 0.8951 21 7 -8.0139 6.9089 0.0367 22 14 -8.3092 5.1656 2.1697 23 1 -8.4815 5.9808 3.3989 24 1 -9.6424 4.8018 1.6261 25 1 -7.5542 3.9295 2.4972 26 6 -0.8018 3.5451 3.0996 27 6 0.8784 3.1912 1.2894 28 8 0.4150 3.7592 0.3238 29 1 -0.3633 -1.0277 -0.0005 30 1 -0.3633 0.5138 0.8900 31 1 -0.3633 0.5138 -0.8900 32 1 1.8933 -0.5138 -0.8900 33 1 1.8934 -0.5139 0.8899 34 1 3.9994 0.9052 0.7161 35 1 3.8532 0.9570 -1.0571 36 1 3.9282 2.4720 -0.1252 37 1 2.2662 3.0299 4.0971 38 1 0.8067 1.9943 4.1889 39 1 1.1935 5.2242 4.0379 40 1 2.2775 5.0320 2.6381 41 1 0.5048 5.8237 1.1233 42 1 0.7759 7.0243 2.4104 43 1 -1.6487 6.6287 2.0503 44 1 -1.1456 6.1066 3.6757 45 1 -3.3036 3.4101 2.4569 46 1 -3.2046 4.7800 3.5891 47 1 -3.4254 6.3629 1.6933 48 1 -3.5244 4.9931 0.5611 49 1 -5.5623 4.1837 1.7197 50 1 -5.4627 5.5538 2.8516 51 1 -8.9824 6.9546 0.0656 52 1 -1.1952 2.5528 2.8789 53 1 -0.9155 3.7518 4.1638 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 ZINC001274040986.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 20:28:26 Heat of formation + Delta-G solvation = -79.040493 kcal Electronic energy + Delta-G solvation = -31124.273370 eV Core-core repulsion = 27188.339710 eV Total energy + Delta-G solvation = -3935.933660 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.86 seconds Orbital eigenvalues (eV) -42.54955 -39.41953 -38.22025 -36.47931 -35.92910 -34.27925 -32.93884 -31.90222 -31.21929 -30.23842 -27.99210 -27.06959 -24.85717 -24.31259 -23.96519 -22.84172 -22.43787 -21.32249 -20.10318 -19.80434 -18.84650 -17.38043 -16.86361 -16.72769 -16.27574 -15.73576 -15.30973 -15.16545 -14.64621 -14.48096 -14.42640 -14.27066 -14.22852 -14.02347 -13.79321 -13.64804 -13.43882 -13.24015 -12.81552 -12.76248 -12.59652 -12.44535 -12.30370 -12.15619 -11.82713 -11.61569 -11.57459 -11.39616 -11.36097 -11.17345 -11.00923 -10.84544 -10.66551 -10.54532 -10.24353 -9.91322 -9.88006 -9.81798 -9.62155 -9.52922 -9.13147 -8.50577 -8.11352 -6.00740 -3.98174 1.38166 2.28861 2.54959 3.31761 3.39237 3.42895 3.64551 3.83387 4.01594 4.17291 4.31809 4.40669 4.47728 4.64710 4.70596 4.72577 4.87971 4.96797 5.02893 5.07799 5.09792 5.18650 5.29300 5.29439 5.31378 5.33101 5.38987 5.47461 5.50771 5.54872 5.57409 5.61288 5.65829 5.72074 5.76412 5.79068 5.91726 5.92621 6.04096 6.07729 6.18749 6.31052 6.58695 6.59558 6.69910 6.94181 7.16856 7.22229 7.26684 7.40783 7.50307 7.70666 7.83982 8.59151 9.05529 9.61939 11.12974 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.015828 B = 0.002790 C = 0.002625 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1768.541663 B =10032.260393 C =10665.352467 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.152 4.152 2 C -0.138 4.138 3 C 0.125 3.875 4 H 0.105 0.895 5 C -0.166 4.166 6 N -0.572 5.572 7 C 0.532 3.468 8 O -0.486 6.486 9 C -0.155 4.155 10 C -0.090 4.090 11 C -0.099 4.099 12 C -0.125 4.125 13 C 0.055 3.945 14 N -0.528 5.528 15 C 0.056 3.944 16 C -0.096 4.096 17 C -0.013 4.013 18 C -0.517 4.517 19 H 0.072 0.928 20 C 0.065 3.935 21 N -0.905 5.905 22 Si 0.880 3.120 23 H -0.278 1.278 24 H -0.288 1.288 25 H -0.266 1.266 26 C 0.075 3.925 27 C 0.538 3.462 28 O -0.439 6.439 29 H 0.058 0.942 30 H 0.049 0.951 31 H 0.059 0.941 32 H 0.079 0.921 33 H 0.079 0.921 34 H 0.072 0.928 35 H 0.073 0.927 36 H 0.058 0.942 37 H 0.121 0.879 38 H 0.120 0.880 39 H 0.078 0.922 40 H 0.067 0.933 41 H 0.087 0.913 42 H 0.070 0.930 43 H 0.088 0.912 44 H 0.030 0.970 45 H 0.068 0.932 46 H 0.029 0.971 47 H 0.053 0.947 48 H 0.063 0.937 49 H 0.014 0.986 50 H 0.008 0.992 51 H 0.262 0.738 52 H 0.077 0.923 53 H 0.049 0.951 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 25.391 -10.813 7.167 28.513 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 -0.209 4.209 2 C -0.176 4.176 3 C 0.024 3.976 4 H 0.123 0.877 5 C -0.224 4.224 6 N -0.316 5.316 7 C 0.321 3.679 8 O -0.358 6.358 9 C -0.195 4.195 10 C -0.094 4.094 11 C -0.136 4.136 12 C -0.163 4.163 13 C -0.073 4.073 14 N -0.252 5.252 15 C -0.070 4.070 16 C -0.134 4.134 17 C -0.051 4.051 18 C -0.555 4.555 19 H 0.090 0.910 20 C -0.136 4.136 21 N -0.544 5.544 22 Si 0.708 3.292 23 H -0.204 1.204 24 H -0.214 1.214 25 H -0.191 1.191 26 C -0.054 4.054 27 C 0.325 3.675 28 O -0.306 6.306 29 H 0.077 0.923 30 H 0.068 0.932 31 H 0.078 0.922 32 H 0.097 0.903 33 H 0.097 0.903 34 H 0.091 0.909 35 H 0.092 0.908 36 H 0.077 0.923 37 H 0.139 0.861 38 H 0.138 0.862 39 H 0.096 0.904 40 H 0.086 0.914 41 H 0.105 0.895 42 H 0.088 0.912 43 H 0.106 0.894 44 H 0.048 0.952 45 H 0.086 0.914 46 H 0.047 0.953 47 H 0.072 0.928 48 H 0.082 0.918 49 H 0.033 0.967 50 H 0.026 0.974 51 H 0.072 0.928 52 H 0.095 0.905 53 H 0.067 0.933 Dipole moment (debyes) X Y Z Total from point charges 25.395 -11.054 6.132 28.368 hybrid contribution -0.824 -0.352 1.468 1.720 sum 24.571 -11.406 7.599 28.136 Atomic orbital electron populations 1.21750 0.94986 1.01901 1.02267 1.21931 0.96786 0.95077 1.03801 1.21445 0.96147 0.94376 0.85632 0.87714 1.22152 0.93989 1.02688 1.03534 1.47097 1.47174 1.28380 1.08969 1.20816 0.78566 0.84245 0.84247 1.90723 1.35097 1.25910 1.84094 1.22629 1.02013 0.96847 0.97987 1.21150 0.98162 0.97474 0.92595 1.21476 0.99194 0.91408 1.01567 1.21737 0.94354 0.97942 1.02263 1.22121 0.95634 0.90972 0.98568 1.61955 1.04120 1.03448 1.55685 1.22296 0.85285 1.01195 0.98272 1.21465 0.95880 0.97860 0.98193 1.19550 0.91889 0.96981 0.96640 1.21154 0.91547 1.26590 1.16202 0.91006 1.25043 0.97784 0.95120 0.95661 1.69919 1.08018 1.39766 1.36737 0.86773 0.79242 0.81261 0.81955 1.20404 1.21448 1.19056 1.21860 0.89656 0.97623 0.96228 1.20350 0.76431 0.78835 0.91852 1.90782 1.45152 1.54177 1.40465 0.92318 0.93189 0.92157 0.90276 0.90283 0.90905 0.90770 0.92270 0.86137 0.86199 0.90356 0.91428 0.89455 0.91185 0.89415 0.95225 0.91365 0.95293 0.92800 0.91846 0.96744 0.97376 0.92809 0.90501 0.93300 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 -0.15 -1.48 9.80 37.16 0.36 -1.11 16 2 C -0.14 -1.22 5.34 -26.73 -0.14 -1.36 16 3 C 0.13 1.17 2.70 -67.93 -0.18 0.99 16 4 H 0.10 1.06 7.42 -51.93 -0.39 0.68 16 5 C -0.17 -1.32 9.17 37.16 0.34 -0.98 16 6 N -0.57 -5.71 1.94 -108.23 -0.21 -5.92 16 7 C 0.53 5.03 7.42 -10.82 -0.08 4.95 16 8 O -0.49 -5.62 14.83 5.60 0.08 -5.54 16 9 C -0.15 -1.04 6.29 -27.13 -0.17 -1.21 16 10 C -0.09 -0.81 0.69 -155.74 -0.11 -0.91 16 11 C -0.10 -0.80 4.59 -26.85 -0.12 -0.92 16 12 C -0.13 -1.31 5.81 -26.59 -0.15 -1.47 16 13 C 0.05 0.69 5.28 -3.83 -0.02 0.67 16 14 N -0.53 -7.28 4.03 -234.95 -0.95 -8.23 16 15 C 0.06 0.90 4.96 -3.82 -0.02 0.88 16 16 C -0.10 -1.93 5.08 -26.73 -0.14 -2.06 16 17 C -0.01 -0.30 4.04 -27.88 -0.11 -0.42 16 18 C -0.52 -14.99 9.66 -34.44 -0.33 -15.33 16 19 H 0.07 2.25 7.99 -52.49 -0.42 1.83 16 20 C 0.06 1.91 5.47 -17.82 -0.10 1.82 16 21 N -0.91 -28.35 13.96 55.43 0.77 -27.58 16 22 Si 0.88 21.95 27.47 -169.99 -4.67 17.28 16 23 H -0.28 -6.78 7.11 56.52 0.40 -6.38 16 24 H -0.29 -7.13 7.11 56.52 0.40 -6.73 16 25 H -0.27 -6.35 6.54 56.52 0.37 -5.98 16 26 C 0.08 0.79 4.00 -4.08 -0.02 0.77 16 27 C 0.54 6.14 6.52 -11.25 -0.07 6.06 16 28 O -0.44 -6.52 14.77 5.60 0.08 -6.44 16 29 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 30 H 0.05 0.54 7.75 -51.93 -0.40 0.14 16 31 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 32 H 0.08 0.58 8.14 -51.93 -0.42 0.15 16 33 H 0.08 0.79 6.50 -51.93 -0.34 0.45 16 34 H 0.07 0.66 6.66 -51.93 -0.35 0.31 16 35 H 0.07 0.47 8.14 -51.93 -0.42 0.05 16 36 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 37 H 0.12 0.57 7.72 -51.93 -0.40 0.17 16 38 H 0.12 0.65 7.72 -51.93 -0.40 0.25 16 39 H 0.08 0.50 8.14 -51.93 -0.42 0.08 16 40 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 41 H 0.09 1.13 6.26 -51.93 -0.32 0.80 16 42 H 0.07 0.62 8.14 -51.93 -0.42 0.20 16 43 H 0.09 1.26 6.20 -51.93 -0.32 0.94 16 44 H 0.03 0.34 8.14 -51.93 -0.42 -0.08 16 45 H 0.07 1.07 8.00 -51.93 -0.42 0.66 16 46 H 0.03 0.44 8.12 -51.93 -0.42 0.02 16 47 H 0.05 1.08 6.42 -51.93 -0.33 0.74 16 48 H 0.06 1.36 8.14 -51.93 -0.42 0.94 16 49 H 0.01 0.35 7.20 -51.92 -0.37 -0.03 16 50 H 0.01 0.19 7.57 -51.93 -0.39 -0.20 16 51 H 0.26 7.67 8.31 -40.82 -0.34 7.33 16 52 H 0.08 0.81 8.04 -51.93 -0.42 0.39 16 53 H 0.05 0.44 8.14 -51.93 -0.42 0.02 16 LS Contribution 402.03 15.07 6.06 6.06 Total: -1.00 -33.45 402.03 -9.40 -42.86 By element: Atomic # 1 Polarization: 6.65 SS G_CDS: -9.51 Total: -2.87 kcal Atomic # 6 Polarization: -8.57 SS G_CDS: -1.06 Total: -9.64 kcal Atomic # 7 Polarization: -41.34 SS G_CDS: -0.38 Total: -41.72 kcal Atomic # 8 Polarization: -12.14 SS G_CDS: 0.17 Total: -11.97 kcal Atomic # 14 Polarization: 21.95 SS G_CDS: -4.67 Total: 17.28 kcal Total LS contribution 6.06 Total: 6.06 kcal Total: -33.45 -9.40 -42.86 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. ZINC001274040986.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 -36.184 kcal (2) G-P(sol) polarization free energy of solvation -33.453 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -69.636 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.404 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.857 kcal (6) G-S(sol) free energy of system = (1) + (5) -79.040 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.87 seconds