Wall clock time and date at job start Sat Mar 6 2021 15:34:47 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 O 1.45202 * 1 3 3 C 1.34228 * 116.99753 * 2 1 4 4 O 1.20816 * 120.00264 * 0.02562 * 3 2 1 5 5 C 1.50701 * 119.99812 * 180.02562 * 3 2 1 6 6 H 1.08998 * 112.84814 * 48.80913 * 5 3 2 7 7 C 1.53785 * 113.61514 * 180.02562 * 5 3 2 8 8 C 1.53779 * 87.08098 * 140.06729 * 7 5 3 9 9 H 1.08997 * 113.61464 * 89.20172 * 8 7 5 10 10 N 1.46507 * 113.61137 * 220.02116 * 8 7 5 11 11 C 1.34777 * 119.99613 * 205.00042 * 10 8 7 12 12 O 1.21284 * 120.00465 * 359.97438 * 11 10 8 13 13 C 1.50702 * 119.99896 * 180.02562 * 11 10 8 14 14 N 1.46503 * 109.47132 * 179.97438 * 13 11 10 15 15 C 1.35030 * 125.92495 * 124.98108 * 14 13 11 16 16 C 1.35096 * 107.97521 * 179.75983 * 15 14 13 17 17 C 1.50697 * 126.07733 * 180.25852 * 16 15 14 18 18 O 1.42897 * 109.47174 * 104.02027 * 17 16 15 19 19 Si 1.86305 * 109.47033 * 344.01909 * 17 16 15 20 20 C 1.40847 * 107.84391 * 0.43098 * 16 15 14 21 21 C 1.48414 * 126.03702 * 179.82605 * 20 16 15 22 22 C 1.39355 * 120.06226 * 43.65131 * 21 20 16 23 23 C 1.37929 * 119.93254 * 180.25284 * 22 21 20 24 24 C 1.38813 * 120.06384 * 359.45444 * 23 22 21 25 25 O 1.35888 * 119.93379 * 180.26953 * 24 23 22 26 26 C 1.42906 * 116.99736 * 180.02562 * 25 24 23 27 27 C 1.38818 * 120.12988 * 0.29832 * 24 23 22 28 28 C 1.37922 * 120.06331 * 359.97438 * 27 24 23 29 29 N 1.31625 * 107.92513 * 359.56544 * 20 16 15 30 30 C 1.53783 * 87.08385 * 334.56569 * 8 7 5 31 31 H 1.09003 * 109.47024 * 59.99771 * 1 2 3 32 32 H 1.09004 * 109.47092 * 179.97438 * 1 2 3 33 33 H 1.08999 * 109.47104 * 299.99265 * 1 2 3 34 34 H 1.09001 * 113.61080 * 25.51326 * 7 5 3 35 35 H 1.08998 * 113.61306 * 254.61491 * 7 5 3 36 36 H 0.96999 * 119.99916 * 24.99973 * 10 8 7 37 37 H 1.08998 * 109.47382 * 59.99732 * 13 11 10 38 38 H 1.09006 * 109.46483 * 299.99617 * 13 11 10 39 39 H 1.08000 * 126.01549 * 0.05217 * 15 14 13 40 40 H 1.09004 * 109.47287 * 224.02241 * 17 16 15 41 41 H 0.96697 * 113.99872 * 299.99582 * 18 17 16 42 42 H 1.48498 * 109.99729 * 179.97438 * 19 17 16 43 43 H 1.48495 * 110.00105 * 301.31845 * 19 17 16 44 44 H 1.07997 * 120.03666 * 359.97438 * 22 21 20 45 45 H 1.07996 * 119.96141 * 179.72905 * 23 22 21 46 46 H 1.08994 * 109.47183 * 60.00376 * 26 25 24 47 47 H 1.08998 * 109.46827 * 180.02562 * 26 25 24 48 48 H 1.08999 * 109.47093 * 300.00361 * 26 25 24 49 49 H 1.08003 * 119.96844 * 179.97438 * 27 24 23 50 50 H 1.07999 * 120.03543 * 179.97438 * 28 27 24 51 51 H 1.08996 * 113.61535 * 139.98003 * 30 8 7 52 52 H 1.08994 * 113.61467 * 270.88821 * 30 8 7 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 8 1.4520 0.0000 0.0000 3 6 2.0614 1.1960 0.0000 4 8 1.4033 2.2093 0.0005 5 6 3.5663 1.2749 -0.0006 6 1 4.0233 0.6366 -0.7568 7 6 4.1077 2.7143 0.0001 8 6 5.1828 2.2257 0.9852 9 1 6.0823 1.8490 0.4983 10 7 5.4738 3.1808 2.0574 11 6 6.6729 3.1587 2.6723 12 8 7.5109 2.3480 2.3384 13 6 6.9720 4.1407 3.7756 14 7 8.3294 3.9128 4.2774 15 6 9.3104 4.8373 4.3566 16 6 10.4056 4.2398 4.8750 17 6 11.7332 4.9001 5.1440 18 8 11.8711 5.1386 6.5462 19 14 11.8184 6.5197 4.2272 20 6 10.0872 2.8891 5.1155 21 6 11.0003 1.8637 5.6790 22 6 11.8109 2.1743 6.7691 23 6 12.6624 1.2209 7.2874 24 6 12.7039 -0.0503 6.7314 25 8 13.5398 -0.9892 7.2476 26 6 13.5322 -2.2762 6.6265 27 6 11.8938 -0.3641 5.6487 28 6 11.0445 0.5868 5.1226 29 7 8.8350 2.6981 4.7575 30 6 4.1937 1.1219 1.3952 31 1 -0.3633 0.5139 -0.8900 32 1 -0.3633 -1.0277 -0.0005 33 1 -0.3633 0.5137 0.8900 34 1 3.4180 3.4400 0.4311 35 1 4.5091 3.0303 -0.9628 36 1 4.8034 3.8289 2.3247 37 1 6.2573 4.0042 4.5872 38 1 6.8930 5.1568 3.3889 39 1 9.2318 5.8735 4.0623 40 1 12.5385 4.2482 4.8054 41 1 11.1868 5.7126 6.9167 42 1 13.1227 7.1811 4.4848 43 1 11.6444 6.2887 2.7707 44 1 11.7759 3.1618 7.2049 45 1 13.2940 1.4625 8.1294 46 1 13.8159 -2.1758 5.5790 47 1 14.2422 -2.9289 7.1346 48 1 12.5326 -2.7057 6.6927 49 1 11.9286 -1.3539 5.2178 50 1 10.4147 0.3423 4.2800 51 1 4.6643 0.1525 1.5584 52 1 3.5275 1.4123 2.2075 There are 74 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 74 No. of singly occupied orbitals= 1 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 s_22_10970304_12622750.mol2 52 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Mar 6 2021 15:34:47 Heat of formation + Delta-G solvation = -40.866206 kcal Electronic energy + Delta-G solvation = -37014.816731 eV Core-core repulsion = 31949.974011 eV Total energy + Delta-G solvation = -5064.842720 eV No. of doubly occupied orbitals = 74 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 402.172 amu Computer time = 1.53 seconds Orbital eigenvalues (eV) -42.42947 -42.00207 -40.90639 -40.69922 -39.23796 -38.24795 -37.61611 -37.37521 -34.82701 -34.39742 -32.15213 -31.66114 -31.14857 -29.60692 -28.85668 -27.98844 -27.02172 -26.87388 -25.69143 -23.99107 -23.25832 -22.62636 -21.85546 -21.50990 -20.99064 -20.64290 -19.08159 -18.96329 -18.57650 -18.40814 -17.97499 -17.46584 -17.31433 -16.89564 -16.78391 -16.66120 -16.55509 -16.24916 -16.13848 -15.99788 -15.54216 -15.38651 -15.04945 -14.69170 -14.61448 -14.46807 -14.35784 -14.29325 -14.18619 -13.92368 -13.82098 -13.73360 -13.45827 -13.36137 -13.08722 -12.91704 -12.69344 -12.64712 -12.45523 -12.35368 -12.07925 -11.97445 -11.95905 -11.84687 -11.72495 -11.45740 -11.43074 -11.12074 -10.34747 -10.26564 -10.23084 -9.76906 -9.55034 -8.76627 -5.05571 0.33246 0.61159 0.86078 1.07556 1.22429 1.38074 1.38543 1.59306 1.66879 1.86802 2.03706 2.05206 2.45177 3.01182 3.06873 3.13182 3.30126 3.45298 3.48759 3.58912 3.60341 3.66162 3.77087 3.84782 3.89662 4.00846 4.10802 4.12330 4.18267 4.22394 4.28519 4.30963 4.31131 4.37915 4.44607 4.50761 4.54061 4.57672 4.61548 4.62872 4.64895 4.71671 4.84730 4.89286 4.91781 4.97944 5.25710 5.28726 5.29730 5.33051 5.51400 5.72071 5.80365 5.87032 5.97656 6.23628 6.56219 6.65814 6.68998 6.75078 6.99515 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.034 3.966 2 O -0.357 6.357 3 C 0.473 3.527 4 O -0.505 6.505 5 C -0.110 4.110 6 H 0.132 0.868 7 C -0.126 4.126 8 C 0.128 3.872 9 H 0.124 0.876 10 N -0.719 5.719 11 C 0.501 3.499 12 O -0.503 6.503 13 C 0.116 3.884 14 N -0.360 5.360 15 C 0.064 3.936 16 C -0.252 4.252 17 C -0.025 4.025 18 O -0.541 6.541 19 Si 0.683 3.317 20 C 0.140 3.860 21 C -0.061 4.061 22 C -0.051 4.051 23 C -0.156 4.156 24 C 0.135 3.865 25 O -0.317 6.317 26 C 0.026 3.974 27 C -0.214 4.214 28 C -0.049 4.049 29 N -0.252 5.252 30 C -0.133 4.133 31 H 0.064 0.936 32 H 0.104 0.896 33 H 0.064 0.936 34 H 0.104 0.896 35 H 0.089 0.911 36 H 0.404 0.596 37 H 0.119 0.881 38 H 0.130 0.870 39 H 0.180 0.820 40 H 0.113 0.887 41 H 0.376 0.624 42 H -0.254 1.254 43 H -0.258 1.258 44 H 0.154 0.846 45 H 0.134 0.866 46 H 0.056 0.944 47 H 0.101 0.899 48 H 0.056 0.944 49 H 0.130 0.870 50 H 0.127 0.873 51 H 0.090 0.910 52 H 0.092 0.908 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.971 3.117 -0.717 5.911 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 -0.060 4.060 2 O -0.273 6.273 3 C 0.315 3.685 4 O -0.393 6.393 5 C -0.129 4.129 6 H 0.149 0.851 7 C -0.164 4.164 8 C 0.023 3.977 9 H 0.142 0.858 10 N -0.372 5.372 11 C 0.284 3.716 12 O -0.375 6.375 13 C -0.010 4.010 14 N -0.141 5.141 15 C -0.081 4.081 16 C -0.264 4.264 17 C -0.137 4.137 18 O -0.346 6.346 19 Si 0.585 3.415 20 C -0.027 4.027 21 C -0.063 4.063 22 C -0.070 4.070 23 C -0.175 4.175 24 C 0.089 3.911 25 O -0.230 6.230 26 C -0.069 4.069 27 C -0.233 4.233 28 C -0.068 4.068 29 N -0.072 5.072 30 C -0.172 4.172 31 H 0.083 0.917 32 H 0.122 0.878 33 H 0.083 0.917 34 H 0.122 0.878 35 H 0.108 0.892 36 H 0.239 0.761 37 H 0.137 0.863 38 H 0.148 0.852 39 H 0.197 0.803 40 H 0.130 0.870 41 H 0.224 0.776 42 H -0.179 1.179 43 H -0.182 1.182 44 H 0.172 0.828 45 H 0.152 0.848 46 H 0.075 0.925 47 H 0.119 0.881 48 H 0.075 0.925 49 H 0.147 0.853 50 H 0.145 0.855 51 H 0.109 0.891 52 H 0.111 0.889 Dipole moment (debyes) X Y Z Total from point charges -4.626 2.130 -1.660 5.357 hybrid contribution -0.227 -0.003 -0.303 0.379 sum -4.853 2.127 -1.963 5.651 Atomic orbital electron populations 1.23336 0.75838 1.04095 1.02716 1.86523 1.23796 1.33233 1.83712 1.23444 0.91535 0.81451 0.72050 1.90679 1.66982 1.36428 1.45163 1.22308 0.87793 1.00975 1.01853 0.85052 1.23383 0.97052 0.94989 1.00966 1.22434 0.97814 0.89525 0.87942 0.85826 1.45857 1.16088 1.37480 1.37824 1.20615 0.82354 0.85375 0.83220 1.90828 1.46064 1.37534 1.63120 1.21511 0.81795 1.00471 0.97199 1.47829 1.09649 1.07314 1.49341 1.22211 0.88301 0.96037 1.01511 1.20445 0.97709 0.94449 1.13778 1.24267 0.94513 1.07243 0.87682 1.86448 1.54726 1.72082 1.21317 0.95429 0.86538 0.79834 0.79697 1.20536 0.91550 0.92588 0.97979 1.17658 0.98389 0.91983 0.98249 1.21440 0.92167 0.99907 0.93439 1.20398 1.03086 0.90783 1.03187 1.19214 0.89943 0.89445 0.92450 1.86083 1.58981 1.21499 1.56455 1.23090 1.02778 0.82387 0.98648 1.21148 1.01389 1.01131 0.99632 1.21009 0.96044 0.91421 0.98359 1.77813 1.10318 1.01696 1.17399 1.23450 0.97890 1.01262 0.94622 0.91686 0.87786 0.91742 0.87780 0.89245 0.76067 0.86328 0.85243 0.80315 0.86985 0.77622 1.17874 1.18245 0.82837 0.84807 0.92534 0.88078 0.92512 0.85252 0.85501 0.89139 0.88940 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 0.03 -0.04 10.56 101.05 1.07 1.03 16 2 O -0.36 -0.33 10.57 -39.25 -0.41 -0.75 16 3 C 0.47 0.44 7.49 36.01 0.27 0.71 16 4 O -0.51 -1.75 15.65 -18.74 -0.29 -2.04 16 5 C -0.11 0.21 4.26 -90.95 -0.39 -0.18 16 6 H 0.13 -0.44 8.14 -51.93 -0.42 -0.86 16 7 C -0.13 0.34 7.16 -25.92 -0.19 0.16 16 8 C 0.13 -0.27 4.24 -67.11 -0.28 -0.56 16 9 H 0.12 -0.09 7.46 -51.93 -0.39 -0.48 16 10 N -0.72 2.13 5.35 -53.01 -0.28 1.85 16 11 C 0.50 -0.09 7.86 -10.98 -0.09 -0.17 16 12 O -0.50 -2.52 15.30 5.55 0.08 -2.43 16 13 C 0.12 -0.35 6.99 -5.19 -0.04 -0.39 16 14 N -0.36 -0.37 3.40 -62.58 -0.21 -0.58 16 15 C 0.06 -0.04 9.96 -17.26 -0.17 -0.21 16 16 C -0.25 -0.37 5.34 -104.75 -0.56 -0.93 16 17 C -0.02 -0.01 2.18 36.00 0.08 0.07 16 18 O -0.54 0.18 10.43 -35.23 -0.37 -0.18 16 19 Si 0.68 -0.87 30.76 -169.99 -5.23 -6.10 16 20 C 0.14 0.59 6.66 -82.78 -0.55 0.04 16 21 C -0.06 -0.27 5.73 -104.87 -0.60 -0.87 16 22 C -0.05 -0.18 9.04 -39.28 -0.35 -0.53 16 23 C -0.16 -0.58 9.97 -39.48 -0.39 -0.97 16 24 C 0.14 0.55 6.69 -39.15 -0.26 0.29 16 25 O -0.32 -1.17 10.49 -19.39 -0.20 -1.37 16 26 C 0.03 0.00 9.81 101.05 0.99 0.99 16 27 C -0.21 -0.74 9.02 -39.48 -0.36 -1.10 16 28 C -0.05 -0.22 9.77 -39.28 -0.38 -0.60 16 29 N -0.25 -1.21 11.67 33.43 0.39 -0.82 16 30 C -0.13 0.27 7.43 -25.91 -0.19 0.08 16 31 H 0.06 -0.06 8.13 -51.93 -0.42 -0.49 16 32 H 0.10 -0.34 8.14 -51.93 -0.42 -0.76 16 33 H 0.06 -0.07 8.13 -51.93 -0.42 -0.49 16 34 H 0.10 -0.24 7.41 -51.93 -0.38 -0.63 16 35 H 0.09 -0.29 8.14 -51.93 -0.42 -0.71 16 36 H 0.40 -2.39 8.73 -40.82 -0.36 -2.75 16 37 H 0.12 -0.59 8.14 -51.93 -0.42 -1.01 16 38 H 0.13 -0.94 8.07 -51.93 -0.42 -1.36 16 39 H 0.18 -0.90 6.43 -52.49 -0.34 -1.24 16 40 H 0.11 0.22 7.96 -51.93 -0.41 -0.20 16 41 H 0.38 -1.63 8.70 45.56 0.40 -1.23 16 42 H -0.25 -0.54 7.11 56.52 0.40 -0.14 16 43 H -0.26 -0.43 7.11 56.52 0.40 -0.02 16 44 H 0.15 0.39 5.36 -52.49 -0.28 0.11 16 45 H 0.13 0.33 8.06 -52.49 -0.42 -0.10 16 46 H 0.06 -0.03 7.65 -51.93 -0.40 -0.43 16 47 H 0.10 -0.16 8.14 -51.93 -0.42 -0.59 16 48 H 0.06 -0.03 7.65 -51.93 -0.40 -0.43 16 49 H 0.13 0.19 6.28 -52.48 -0.33 -0.14 16 50 H 0.13 0.57 8.06 -52.49 -0.42 0.15 16 51 H 0.09 -0.15 8.14 -51.93 -0.42 -0.57 16 52 H 0.09 -0.18 8.10 -51.93 -0.42 -0.60 16 LS Contribution 439.03 15.07 6.62 6.62 Total: 0.00 -14.45 439.03 -9.47 -23.91 By element: Atomic # 1 Polarization: -7.81 SS G_CDS: -7.15 Total: -14.97 kcal Atomic # 6 Polarization: -0.74 SS G_CDS: -2.40 Total: -3.14 kcal Atomic # 7 Polarization: 0.56 SS G_CDS: -0.11 Total: 0.45 kcal Atomic # 8 Polarization: -5.58 SS G_CDS: -1.19 Total: -6.78 kcal Atomic # 14 Polarization: -0.87 SS G_CDS: -5.23 Total: -6.10 kcal Total LS contribution 6.62 Total: 6.62 kcal Total: -14.45 -9.47 -23.91 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. s_22_10970304_12622750.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 -16.952 kcal (2) G-P(sol) polarization free energy of solvation -14.447 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -31.398 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.468 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -23.915 kcal (6) G-S(sol) free energy of system = (1) + (5) -40.866 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.53 seconds