Wall clock time and date at job start Wed Apr 1 2020 02:02:50 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 1.52996 * 109.47091 * 2 1 4 4 C 1.52998 * 109.47149 * 119.99610 * 2 1 3 5 5 N 1.46506 * 109.47233 * 300.00362 * 4 2 1 6 6 C 1.36931 * 119.99939 * 179.97438 * 5 4 2 7 7 H 1.08000 * 120.00644 * 359.97438 * 6 5 4 8 8 C 1.38815 * 119.99715 * 179.97438 * 6 5 4 9 9 N 1.31611 * 120.00107 * 0.02562 * 8 6 5 10 10 Si 1.86805 * 119.99746 * 179.72150 * 8 6 5 11 11 H 1.48500 * 109.46781 * 90.00854 * 10 8 6 12 12 H 1.48496 * 109.47225 * 210.00413 * 10 8 6 13 13 H 1.48494 * 109.47296 * 330.00424 * 10 8 6 14 14 C 1.52996 * 109.47350 * 239.99530 * 2 1 3 15 15 C 1.53035 * 109.46469 * 180.02562 * 14 2 1 16 16 C 1.53190 * 109.31620 * 178.60188 * 15 14 2 17 17 N 1.46928 * 108.76280 * 54.65664 * 16 15 14 18 18 C 1.34780 * 120.63090 * 126.40830 * 17 16 15 19 19 O 1.21274 * 119.99866 * 179.97438 * 18 17 16 20 20 C 1.50705 * 119.99666 * 359.97131 * 18 17 16 21 21 F 1.39895 * 110.45706 * 54.30435 * 20 18 17 22 22 C 1.54508 * 110.50748 * 176.90485 * 20 18 17 23 23 C 1.54474 * 104.06396 * 118.64656 * 22 20 18 24 24 O 1.44428 * 104.80049 * 23.97929 * 23 22 20 25 25 C 1.44640 * 105.37116 * 319.56468 * 24 23 22 26 26 C 1.46918 * 118.73811 * 306.38168 * 17 16 15 27 27 C 1.53043 * 109.45979 * 59.97183 * 14 2 1 28 28 H 1.09002 * 109.47144 * 300.00258 * 1 2 3 29 29 H 1.08995 * 109.46867 * 60.00300 * 1 2 3 30 30 H 1.09002 * 109.47360 * 180.02562 * 1 2 3 31 31 H 1.09000 * 109.47163 * 180.02562 * 3 2 1 32 32 H 1.09005 * 109.47109 * 299.99759 * 3 2 1 33 33 H 1.08992 * 109.47604 * 59.99388 * 3 2 1 34 34 H 1.09001 * 109.47671 * 180.02562 * 4 2 1 35 35 H 1.09006 * 109.47297 * 60.00006 * 4 2 1 36 36 H 0.97000 * 119.99307 * 359.97438 * 5 4 2 37 37 H 0.97000 * 120.00330 * 179.97438 * 9 8 6 38 38 H 1.08995 * 109.46097 * 300.00426 * 14 2 1 39 39 H 1.09009 * 109.49764 * 298.57324 * 15 14 2 40 40 H 1.09003 * 109.49792 * 58.65880 * 15 14 2 41 41 H 1.08998 * 109.59959 * 294.86878 * 16 15 14 42 42 H 1.09003 * 109.58223 * 174.43687 * 16 15 14 43 43 H 1.09000 * 110.51700 * 237.29094 * 22 20 18 44 44 H 1.09002 * 110.51437 * 0.02562 * 22 20 18 45 45 H 1.09002 * 110.37767 * 142.80630 * 23 22 20 46 46 H 1.09001 * 110.37633 * 265.15271 * 23 22 20 47 47 H 1.09003 * 110.34089 * 281.59614 * 25 24 23 48 48 H 1.08996 * 110.51145 * 159.18309 * 25 24 23 49 49 H 1.09000 * 109.59032 * 293.82196 * 26 17 16 50 50 H 1.09000 * 109.58694 * 173.39846 * 26 17 16 51 51 H 1.08998 * 109.49900 * 301.33973 * 27 14 2 52 52 H 1.09004 * 109.49745 * 61.43266 * 27 14 2 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 6 2.0400 -0.7212 1.2493 5 7 1.5516 -0.0305 2.4455 6 6 1.8820 -0.4986 3.6891 7 1 2.5023 -1.3771 3.7884 8 6 1.4196 0.1561 4.8225 9 7 0.6633 1.2265 4.7017 10 14 1.8639 -0.4869 6.5192 11 1 3.1285 0.1458 6.9728 12 1 0.7754 -0.1576 7.4740 13 1 2.0411 -1.9601 6.4594 14 6 2.0401 -0.7213 -1.2491 15 6 3.5704 -0.7218 -1.2486 16 6 4.0773 -1.4750 -2.4825 17 7 3.4748 -0.8771 -3.6817 18 6 4.2483 -0.4585 -4.7030 19 8 3.7388 0.0329 -5.6877 20 6 5.7464 -0.6009 -4.6211 21 9 6.0971 -1.9273 -4.3476 22 6 6.4079 -0.1257 -5.9340 23 6 7.3053 1.0532 -5.4969 24 8 7.5725 0.8145 -4.0978 25 6 6.3220 0.3444 -3.5434 26 6 2.0130 -0.7450 -3.7468 27 6 1.5292 -0.0002 -2.4986 28 1 -0.3633 0.5139 0.8900 29 1 -0.3633 0.5138 -0.8900 30 1 -0.3634 -1.0277 0.0005 31 1 3.1300 1.4425 -0.0005 32 1 1.6767 1.9563 -0.8900 33 1 1.6766 1.9564 0.8898 34 1 3.1300 -0.7208 1.2496 35 1 1.6767 -1.7489 1.2494 36 1 0.9942 0.7583 2.3563 37 1 0.3399 1.6838 5.4936 38 1 1.6766 -1.7489 -1.2489 39 1 3.9345 0.3054 -1.2740 40 1 3.9338 -1.2147 -0.3469 41 1 3.7904 -2.5243 -2.4137 42 1 5.1628 -1.3938 -2.5396 43 1 7.0102 -0.9233 -6.3688 44 1 5.6515 0.2127 -6.6422 45 1 8.2349 1.0539 -6.0660 46 1 6.7792 1.9991 -5.6267 47 1 5.6450 1.1813 -3.3721 48 1 6.4963 -0.1999 -2.6153 49 1 1.5577 -1.7347 -3.7812 50 1 1.7363 -0.1821 -4.6383 51 1 0.4395 0.0205 -2.4868 52 1 1.9127 1.0201 -2.5122 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) F: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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 ZINC001101567100.mol2 52 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 02:02:50 Heat of formation + Delta-G solvation = -117.304592 kcal Electronic energy + Delta-G solvation = -32228.253837 eV Core-core repulsion = 27949.433086 eV Total energy + Delta-G solvation = -4278.820751 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 342.211 amu Computer time = 0.91 seconds Orbital eigenvalues (eV) -48.44296 -40.82981 -39.47627 -38.57184 -36.40163 -33.85096 -32.46085 -31.64131 -31.39000 -30.09802 -29.38049 -26.93777 -26.07440 -25.57727 -23.92148 -23.59512 -22.68722 -22.36469 -20.88111 -19.55999 -18.48224 -17.93499 -17.35403 -17.15373 -16.59679 -16.39949 -15.74140 -15.36065 -15.16482 -14.81199 -14.71220 -14.52570 -14.47430 -14.16168 -13.92490 -13.86448 -13.59595 -13.20360 -12.96453 -12.83004 -12.71194 -12.64016 -12.39558 -12.19374 -11.89140 -11.77751 -11.71529 -11.54684 -11.44148 -11.20283 -10.99292 -10.89314 -10.81714 -10.73524 -10.33710 -10.26481 -10.17218 -10.16142 -9.99220 -9.70367 -9.55420 -8.97393 -8.84918 -6.88721 -5.76217 -3.03524 1.96847 2.41679 3.30267 3.43236 3.47570 3.48605 3.50047 3.81677 3.97700 4.14035 4.52243 4.57167 4.57931 4.63200 4.70888 4.73796 4.89551 5.01186 5.07560 5.11239 5.21241 5.22654 5.29853 5.37055 5.41097 5.44742 5.46320 5.53128 5.57533 5.61538 5.72340 5.82574 5.88411 5.95472 6.02547 6.07743 6.12462 6.14746 6.27030 6.30977 6.34734 6.35747 6.56761 6.70239 6.74396 6.92015 6.93894 6.96288 7.57885 7.70320 8.43607 9.54733 10.14368 10.48555 11.46893 Molecular weight = 342.21amu Principal moments of inertia in cm(-1) A = 0.017265 B = 0.002593 C = 0.002417 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1621.367080 B =10797.616179 C =11582.259108 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.138 4.138 2 C -0.065 4.065 3 C -0.138 4.138 4 C 0.162 3.838 5 N -0.729 5.729 6 C -0.237 4.237 7 H 0.069 0.931 8 C -0.015 4.015 9 N -0.934 5.934 10 Si 0.905 3.095 11 H -0.290 1.290 12 H -0.292 1.292 13 H -0.283 1.283 14 C -0.072 4.072 15 C -0.137 4.137 16 C 0.095 3.905 17 N -0.593 5.593 18 C 0.508 3.492 19 O -0.525 6.525 20 C 0.072 3.928 21 F -0.180 7.180 22 C -0.171 4.171 23 C 0.045 3.955 24 O -0.361 6.361 25 C 0.033 3.967 26 C 0.110 3.890 27 C -0.132 4.132 28 H 0.066 0.934 29 H 0.046 0.954 30 H 0.049 0.951 31 H 0.051 0.949 32 H 0.044 0.956 33 H 0.065 0.935 34 H 0.020 0.980 35 H 0.015 0.985 36 H 0.384 0.616 37 H 0.254 0.746 38 H 0.072 0.928 39 H 0.072 0.928 40 H 0.089 0.911 41 H 0.077 0.923 42 H 0.087 0.913 43 H 0.097 0.903 44 H 0.115 0.885 45 H 0.103 0.897 46 H 0.070 0.930 47 H 0.084 0.916 48 H 0.118 0.882 49 H 0.071 0.929 50 H 0.091 0.909 51 H 0.082 0.918 52 H 0.071 0.929 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 8.642 -2.790 -22.857 24.595 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 -0.195 4.195 2 C -0.065 4.065 3 C -0.196 4.196 4 C 0.035 3.965 5 N -0.374 5.374 6 C -0.368 4.368 7 H 0.087 0.913 8 C -0.210 4.210 9 N -0.583 5.583 10 Si 0.736 3.264 11 H -0.218 1.218 12 H -0.218 1.218 13 H -0.208 1.208 14 C -0.091 4.091 15 C -0.175 4.175 16 C -0.027 4.027 17 N -0.325 5.325 18 C 0.293 3.707 19 O -0.402 6.402 20 C 0.050 3.950 21 F -0.161 7.161 22 C -0.209 4.209 23 C -0.032 4.032 24 O -0.279 6.279 25 C -0.045 4.045 26 C -0.012 4.012 27 C -0.170 4.170 28 H 0.085 0.915 29 H 0.065 0.935 30 H 0.068 0.932 31 H 0.070 0.930 32 H 0.063 0.937 33 H 0.084 0.916 34 H 0.037 0.963 35 H 0.033 0.967 36 H 0.219 0.781 37 H 0.064 0.936 38 H 0.090 0.910 39 H 0.091 0.909 40 H 0.107 0.893 41 H 0.096 0.904 42 H 0.105 0.895 43 H 0.116 0.884 44 H 0.133 0.867 45 H 0.121 0.879 46 H 0.088 0.912 47 H 0.103 0.897 48 H 0.136 0.864 49 H 0.089 0.911 50 H 0.110 0.890 51 H 0.100 0.900 52 H 0.090 0.910 Dipole moment (debyes) X Y Z Total from point charges 8.623 -2.643 -23.114 24.811 hybrid contribution -0.153 -0.357 1.048 1.117 sum 8.471 -3.000 -22.066 23.826 Atomic orbital electron populations 1.21849 0.94594 1.01473 1.01562 1.20685 0.95774 0.95767 0.94268 1.21892 1.00604 0.95581 1.01476 1.20730 0.95915 0.94135 0.85730 1.42427 1.61349 1.33354 1.00301 1.19225 1.25428 1.08441 0.83703 0.91349 1.24711 1.00614 0.97993 0.97729 1.69646 1.39446 1.20964 1.28290 0.86216 0.77409 0.78100 0.84629 1.21792 1.21840 1.20838 1.21102 0.94300 0.99626 0.94092 1.22174 0.96661 1.01455 0.97187 1.22166 0.98632 0.97905 0.84037 1.48134 1.07600 1.59394 1.17394 1.20371 0.88213 0.78887 0.83252 1.90695 1.73962 1.44505 1.31046 1.22497 0.93066 0.80312 0.99165 1.92931 1.92909 1.35545 1.94701 1.23564 1.00766 1.00329 0.96212 1.23511 1.00173 0.97068 0.82432 1.89249 1.30065 1.86354 1.22251 1.24175 0.87198 0.96811 0.96281 1.21771 0.78130 1.01291 1.00002 1.22106 1.01598 0.99924 0.93347 0.91486 0.93533 0.93171 0.93008 0.93665 0.91579 0.96265 0.96699 0.78056 0.93574 0.90990 0.90943 0.89275 0.90446 0.89470 0.88447 0.86662 0.87891 0.91212 0.89741 0.86434 0.91084 0.89018 0.89975 0.91026 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -2.05 7.95 37.16 0.30 -1.75 16 2 C -0.06 -0.94 0.33 -154.51 -0.05 -0.99 16 3 C -0.14 -2.06 7.60 37.16 0.28 -1.78 16 4 C 0.16 3.06 4.80 -4.04 -0.02 3.04 16 5 N -0.73 -17.71 5.00 -59.90 -0.30 -18.01 16 6 C -0.24 -6.50 9.99 -15.06 -0.15 -6.65 16 7 H 0.07 1.83 7.83 -52.49 -0.41 1.42 16 8 C -0.01 -0.42 5.50 -17.43 -0.10 -0.51 16 9 N -0.93 -27.91 13.06 55.49 0.72 -27.19 16 10 Si 0.91 22.26 29.55 -169.99 -5.02 17.23 16 11 H -0.29 -7.12 7.11 56.52 0.40 -6.72 16 12 H -0.29 -7.25 7.11 56.52 0.40 -6.85 16 13 H -0.28 -6.77 7.11 56.52 0.40 -6.37 16 14 C -0.07 -0.81 1.51 -90.58 -0.14 -0.95 16 15 C -0.14 -1.42 4.65 -26.62 -0.12 -1.54 16 16 C 0.09 0.87 5.64 -3.71 -0.02 0.84 16 17 N -0.59 -6.02 2.97 -172.77 -0.51 -6.53 16 18 C 0.51 5.68 6.72 -10.98 -0.07 5.61 16 19 O -0.53 -7.10 14.70 5.56 0.08 -7.02 16 20 C 0.07 0.69 1.17 -90.20 -0.11 0.59 16 21 F -0.18 -1.89 15.10 2.25 0.03 -1.85 16 22 C -0.17 -1.41 6.52 -25.17 -0.16 -1.57 16 23 C 0.04 0.34 7.64 37.93 0.29 0.63 16 24 O -0.36 -3.63 11.65 -35.23 -0.41 -4.04 16 25 C 0.03 0.30 6.09 37.93 0.23 0.53 16 26 C 0.11 1.07 6.43 -3.72 -0.02 1.04 16 27 C -0.13 -1.32 4.65 -26.61 -0.12 -1.44 16 28 H 0.07 1.20 6.86 -51.93 -0.36 0.85 16 29 H 0.05 0.58 6.40 -51.93 -0.33 0.25 16 30 H 0.05 0.73 8.14 -51.93 -0.42 0.31 16 31 H 0.05 0.74 6.46 -51.93 -0.34 0.41 16 32 H 0.04 0.58 6.46 -51.93 -0.34 0.25 16 33 H 0.07 1.19 6.86 -51.93 -0.36 0.83 16 34 H 0.02 0.37 6.40 -51.93 -0.33 0.03 16 35 H 0.02 0.29 8.14 -51.93 -0.42 -0.13 16 36 H 0.38 9.81 5.36 -40.82 -0.22 9.59 16 37 H 0.25 7.38 8.31 -40.82 -0.34 7.04 16 38 H 0.07 0.81 8.14 -51.93 -0.42 0.39 16 39 H 0.07 0.77 6.51 -51.92 -0.34 0.43 16 40 H 0.09 0.98 6.36 -51.93 -0.33 0.65 16 41 H 0.08 0.67 8.14 -51.93 -0.42 0.25 16 42 H 0.09 0.74 3.55 -51.93 -0.18 0.55 16 43 H 0.10 0.71 8.06 -51.93 -0.42 0.29 16 44 H 0.12 1.02 6.51 -51.93 -0.34 0.68 16 45 H 0.10 0.57 8.14 -51.93 -0.42 0.15 16 46 H 0.07 0.48 8.14 -51.93 -0.42 0.05 16 47 H 0.08 0.73 7.86 -51.93 -0.41 0.32 16 48 H 0.12 0.95 6.71 -51.93 -0.35 0.60 16 49 H 0.07 0.63 8.14 -51.93 -0.42 0.21 16 50 H 0.09 0.96 7.01 -51.93 -0.36 0.59 16 51 H 0.08 0.79 6.36 -51.93 -0.33 0.46 16 52 H 0.07 0.77 6.51 -51.93 -0.34 0.43 16 LS Contribution 383.89 15.07 5.79 5.79 Total: -1.00 -31.80 383.89 -7.78 -39.58 By element: Atomic # 1 Polarization: 15.12 SS G_CDS: -8.17 Total: 6.95 kcal Atomic # 6 Polarization: -4.92 SS G_CDS: 0.01 Total: -4.91 kcal Atomic # 7 Polarization: -51.64 SS G_CDS: -0.09 Total: -51.73 kcal Atomic # 8 Polarization: -10.73 SS G_CDS: -0.33 Total: -11.06 kcal Atomic # 9 Polarization: -1.89 SS G_CDS: 0.03 Total: -1.85 kcal Atomic # 14 Polarization: 22.26 SS G_CDS: -5.02 Total: 17.23 kcal Total LS contribution 5.79 Total: 5.79 kcal Total: -31.80 -7.78 -39.58 kcal The number of atoms in the molecule is 52 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. ZINC001101567100.mol2 52 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 -77.720 kcal (2) G-P(sol) polarization free energy of solvation -31.802 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -109.522 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.782 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.584 kcal (6) G-S(sol) free energy of system = (1) + (5) -117.305 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.91 seconds