Wall clock time and date at job start Tue Mar 31 2020 20:25:22 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 1.50691 * 109.47212 * 2 1 4 4 C 1.50710 * 120.00201 * 264.94924 * 3 2 1 5 5 C 1.32997 * 120.00142 * 84.95743 * 3 2 1 6 6 C 1.47093 * 119.99647 * 352.73507 * 5 3 2 7 7 O 1.21617 * 120.00452 * 353.22952 * 6 5 3 8 8 N 1.34776 * 120.00083 * 173.22634 * 6 5 3 9 9 C 1.47152 * 120.98967 * 355.19734 * 8 6 5 10 10 C 1.53297 * 108.37515 * 230.57675 * 9 8 6 11 11 O 1.42965 * 109.23340 * 307.65127 * 10 9 8 12 12 C 1.42900 * 114.20971 * 62.48086 * 11 10 9 13 13 C 1.52954 * 109.57096 * 177.75240 * 12 11 10 14 14 C 1.53003 * 109.50812 * 299.58016 * 13 12 11 15 15 C 1.53011 * 109.46343 * 300.04987 * 14 13 12 16 16 N 1.46499 * 109.47266 * 180.02562 * 15 14 13 17 17 C 1.36935 * 119.99500 * 85.03400 * 16 15 14 18 18 H 1.08002 * 120.00327 * 359.97438 * 17 16 15 19 19 C 1.38820 * 119.99789 * 179.97438 * 17 16 15 20 20 N 1.31616 * 119.99737 * 359.97438 * 19 17 16 21 21 Si 1.86796 * 120.00158 * 179.97438 * 19 17 16 22 22 H 1.48504 * 109.47061 * 89.99906 * 21 19 17 23 23 H 1.48497 * 109.47348 * 210.00262 * 21 19 17 24 24 H 1.48500 * 109.47172 * 330.00395 * 21 19 17 25 25 C 1.53002 * 109.44162 * 60.06666 * 15 14 13 26 26 C 1.52950 * 109.58157 * 57.50549 * 12 11 10 27 27 C 1.47156 * 120.99330 * 175.17188 * 8 6 5 28 28 H 1.09002 * 109.47307 * 59.99739 * 1 2 3 29 29 H 1.09003 * 109.47785 * 179.97438 * 1 2 3 30 30 H 1.09002 * 109.47173 * 300.00096 * 1 2 3 31 31 H 1.09005 * 109.46687 * 240.00024 * 2 1 3 32 32 H 1.08995 * 109.47015 * 120.00495 * 2 1 3 33 33 H 1.08997 * 109.46909 * 270.00390 * 4 3 2 34 34 H 1.09000 * 109.46497 * 30.00236 * 4 3 2 35 35 H 1.09001 * 109.47125 * 150.00220 * 4 3 2 36 36 H 1.07998 * 120.00185 * 172.74022 * 5 3 2 37 37 H 1.09001 * 109.68654 * 110.85457 * 9 8 6 38 38 H 1.09003 * 109.68263 * 350.29380 * 9 8 6 39 39 H 1.09007 * 109.50746 * 67.57310 * 10 9 8 40 40 H 1.08999 * 109.51350 * 187.72167 * 10 9 8 41 41 H 1.09005 * 109.46116 * 59.58641 * 13 12 11 42 42 H 1.08999 * 109.46831 * 179.56234 * 13 12 11 43 43 H 1.09007 * 109.47061 * 180.02562 * 14 13 12 44 44 H 1.08993 * 109.47508 * 60.05499 * 14 13 12 45 45 H 1.08994 * 109.47569 * 300.07725 * 15 14 13 46 46 H 0.96996 * 120.00122 * 265.02537 * 16 15 14 47 47 H 0.97004 * 119.99732 * 179.97438 * 20 19 17 48 48 H 1.08996 * 109.47047 * 179.97438 * 25 15 14 49 49 H 1.08998 * 109.46731 * 59.94952 * 25 15 14 50 50 H 1.09005 * 109.45947 * 180.43961 * 26 12 11 51 51 H 1.08994 * 109.46689 * 300.41414 * 26 12 11 52 52 H 1.08994 * 109.67702 * 9.80262 * 27 8 6 53 53 H 1.09002 * 109.67914 * 249.26637 * 27 8 6 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 2.0323 1.4207 0.0000 4 6 2.3919 2.0929 -1.3001 5 6 2.1586 2.0814 1.1473 6 6 1.6599 1.4870 2.3970 7 8 1.0240 0.4508 2.3662 8 7 1.9078 2.0906 3.5762 9 6 2.7623 3.2863 3.6505 10 6 3.8213 3.0569 4.7348 11 8 3.1756 2.6627 5.9479 12 6 2.4587 1.4299 5.8563 13 6 1.8598 1.0829 7.2203 14 6 2.9831 0.9325 8.2482 15 6 3.9312 -0.1847 7.8076 16 7 5.0064 -0.3293 8.7920 17 6 4.8176 -1.1076 9.9027 18 1 3.8759 -1.6145 10.0533 19 6 5.8367 -1.2451 10.8353 20 7 6.9845 -0.6278 10.6516 21 14 5.5789 -2.3061 12.3509 22 1 5.9976 -3.7001 12.0562 23 1 6.3914 -1.7719 13.4732 24 1 4.1427 -2.2900 12.7280 25 6 4.5318 0.1651 6.4446 26 6 3.4094 0.3156 5.4158 27 6 1.3316 1.5739 4.8278 28 1 -0.3634 0.5139 -0.8900 29 1 -0.3635 -1.0276 -0.0005 30 1 -0.3633 0.5139 0.8900 31 1 1.8933 -0.5139 -0.8901 32 1 1.8933 -0.5139 0.8899 33 1 3.4436 1.9136 -1.5230 34 1 1.7759 1.6858 -2.1020 35 1 2.2160 3.1653 -1.2155 36 1 2.6271 3.0544 1.1614 37 1 2.1563 4.1553 3.9071 38 1 3.2502 3.4492 2.6895 39 1 4.5057 2.2711 4.4148 40 1 4.3774 3.9794 4.9016 41 1 1.1848 1.8794 7.5338 42 1 1.3069 0.1465 7.1466 43 1 2.5556 0.6848 9.2199 44 1 3.5352 1.8693 8.3228 45 1 3.3788 -1.1212 7.7317 46 1 5.8521 0.1261 8.6569 47 1 7.6964 -0.7235 11.3034 48 1 5.2077 -0.6303 6.1304 49 1 5.0833 1.1022 6.5203 50 1 2.8589 -0.6221 5.3391 51 1 3.8374 0.5659 4.4452 52 1 0.8734 0.6017 4.6470 53 1 0.5808 2.2703 5.2012 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 ZINC001105470854.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 20:25:22 Heat of formation + Delta-G solvation = -54.902353 kcal Electronic energy + Delta-G solvation = -30849.416084 eV Core-core repulsion = 26914.529132 eV Total energy + Delta-G solvation = -3934.886952 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.87 seconds Orbital eigenvalues (eV) -40.95163 -39.40903 -36.87055 -36.11750 -34.75252 -33.73347 -31.77790 -31.11487 -30.43916 -29.65346 -28.88035 -27.64578 -25.45902 -23.93263 -23.75538 -22.94010 -22.25101 -20.93533 -19.65952 -19.27653 -18.23759 -17.64971 -17.07482 -16.11915 -15.98869 -15.75167 -15.34267 -14.97801 -14.82436 -14.53585 -14.35542 -14.05033 -13.76402 -13.55871 -13.42450 -13.16214 -13.12580 -12.97911 -12.86664 -12.64646 -12.31955 -12.22607 -12.00836 -11.87165 -11.72047 -11.41515 -11.27481 -11.11641 -10.97299 -10.88614 -10.78793 -10.61318 -10.50641 -10.15158 -10.07142 -9.85715 -9.66759 -9.54835 -9.41104 -9.39667 -8.80582 -8.49669 -6.87552 -5.70413 -2.98115 1.09421 2.75872 3.08418 3.47067 3.52147 3.53770 3.73453 4.26069 4.41246 4.56464 4.64673 4.67447 4.82583 4.84783 4.89734 5.04616 5.05072 5.08350 5.11222 5.18364 5.36229 5.39031 5.43011 5.46072 5.46561 5.53105 5.57039 5.62738 5.70866 5.74081 5.75309 5.82380 5.91586 5.93711 5.95614 6.07993 6.12572 6.17111 6.25016 6.27036 6.33417 6.42011 6.45174 6.58290 6.73466 6.81809 7.06286 7.23985 7.27647 7.30606 7.75949 8.05915 8.48752 9.59486 10.19459 10.54162 11.52556 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.021633 B = 0.002446 C = 0.002391 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1293.985636 B =11444.760767 C =11708.827000 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.134 4.134 2 C -0.097 4.097 3 C -0.025 4.025 4 C -0.128 4.128 5 C -0.238 4.238 6 C 0.547 3.453 7 O -0.533 6.533 8 N -0.610 5.610 9 C 0.073 3.927 10 C 0.042 3.958 11 O -0.357 6.357 12 C 0.112 3.888 13 C -0.100 4.100 14 C -0.129 4.129 15 C 0.180 3.820 16 N -0.725 5.725 17 C -0.234 4.234 18 H 0.069 0.931 19 C -0.016 4.016 20 N -0.934 5.934 21 Si 0.905 3.095 22 H -0.291 1.291 23 H -0.292 1.292 24 H -0.282 1.282 25 C -0.118 4.118 26 C -0.132 4.132 27 C 0.090 3.910 28 H 0.040 0.960 29 H 0.053 0.947 30 H 0.072 0.928 31 H 0.059 0.941 32 H 0.095 0.905 33 H 0.078 0.922 34 H 0.073 0.927 35 H 0.070 0.930 36 H 0.127 0.873 37 H 0.075 0.925 38 H 0.092 0.908 39 H 0.061 0.939 40 H 0.103 0.897 41 H 0.063 0.937 42 H 0.073 0.927 43 H 0.060 0.940 44 H 0.063 0.937 45 H 0.043 0.957 46 H 0.383 0.617 47 H 0.254 0.746 48 H 0.059 0.941 49 H 0.062 0.938 50 H 0.070 0.930 51 H 0.058 0.942 52 H 0.100 0.900 53 H 0.072 0.928 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -11.064 9.698 -24.256 28.369 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 -0.191 4.191 2 C -0.134 4.134 3 C -0.027 4.027 4 C -0.184 4.184 5 C -0.259 4.259 6 C 0.339 3.661 7 O -0.413 6.413 8 N -0.344 5.344 9 C -0.050 4.050 10 C -0.036 4.036 11 O -0.276 6.276 12 C 0.072 3.928 13 C -0.139 4.139 14 C -0.169 4.169 15 C 0.070 3.930 16 N -0.365 5.365 17 C -0.365 4.365 18 H 0.087 0.913 19 C -0.212 4.212 20 N -0.583 5.583 21 Si 0.736 3.264 22 H -0.218 1.218 23 H -0.219 1.219 24 H -0.208 1.208 25 C -0.156 4.156 26 C -0.170 4.170 27 C -0.032 4.032 28 H 0.059 0.941 29 H 0.072 0.928 30 H 0.090 0.910 31 H 0.078 0.922 32 H 0.113 0.887 33 H 0.097 0.903 34 H 0.092 0.908 35 H 0.089 0.911 36 H 0.144 0.856 37 H 0.093 0.907 38 H 0.111 0.889 39 H 0.079 0.921 40 H 0.121 0.879 41 H 0.081 0.919 42 H 0.092 0.908 43 H 0.079 0.921 44 H 0.082 0.918 45 H 0.061 0.939 46 H 0.216 0.784 47 H 0.064 0.936 48 H 0.078 0.922 49 H 0.081 0.919 50 H 0.089 0.911 51 H 0.077 0.923 52 H 0.119 0.881 53 H 0.090 0.910 Dipole moment (debyes) X Y Z Total from point charges -11.446 9.136 -23.943 28.067 hybrid contribution 0.331 -0.259 0.595 0.728 sum -11.115 8.877 -23.348 27.340 Atomic orbital electron populations 1.21616 0.94043 1.01808 1.01654 1.20861 0.97287 0.92268 1.02996 1.22618 0.90034 0.95728 0.94311 1.21012 1.02404 1.00493 0.94492 1.22408 1.08526 1.02585 0.92347 1.18538 0.80093 0.83843 0.83615 1.90746 1.41113 1.22851 1.86557 1.47993 1.50009 1.29412 1.06942 1.22513 0.93564 0.87925 1.01006 1.22953 0.93985 1.01192 0.85446 1.88054 1.68331 1.39022 1.32171 1.21839 0.90727 0.84665 0.95610 1.21512 0.98700 1.01047 0.92623 1.22164 0.96199 1.01324 0.97248 1.20191 0.89911 0.95073 0.87796 1.42422 1.13517 1.57867 1.22697 1.19254 0.98522 1.20802 0.97920 0.91267 1.24730 0.96257 1.01033 0.99179 1.69666 1.04437 1.47268 1.36950 0.86214 0.77150 0.80031 0.82972 1.21838 1.21860 1.20814 1.21714 0.96968 1.01572 0.95372 1.21990 0.97812 0.98413 0.98784 1.22355 0.96075 1.01509 0.83277 0.94088 0.92790 0.90953 0.92234 0.88718 0.90340 0.90838 0.91119 0.85554 0.90699 0.88944 0.92117 0.87879 0.91869 0.90832 0.92080 0.91776 0.93949 0.78370 0.93636 0.92181 0.91889 0.91149 0.92341 0.88132 0.91026 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 -0.13 -1.29 9.31 37.16 0.35 -0.95 16 2 C -0.10 -0.92 5.34 -27.89 -0.15 -1.07 16 3 C -0.03 -0.21 5.36 -101.17 -0.54 -0.75 16 4 C -0.13 -0.67 10.02 36.01 0.36 -0.31 16 5 C -0.24 -2.11 8.82 -37.81 -0.33 -2.45 16 6 C 0.55 6.37 7.47 -12.67 -0.09 6.27 16 7 O -0.53 -7.47 10.49 5.26 0.06 -7.42 16 8 N -0.61 -6.68 2.55 -173.69 -0.44 -7.12 16 9 C 0.07 0.62 6.49 -3.53 -0.02 0.60 16 10 C 0.04 0.43 6.60 37.31 0.25 0.68 16 11 O -0.36 -4.91 8.93 -35.23 -0.31 -5.23 16 12 C 0.11 1.50 0.68 -90.54 -0.06 1.44 16 13 C -0.10 -1.45 4.94 -26.75 -0.13 -1.58 16 14 C -0.13 -2.38 5.36 -26.72 -0.14 -2.52 16 15 C 0.18 3.67 2.77 -67.92 -0.19 3.48 16 16 N -0.72 -18.59 5.12 -53.42 -0.27 -18.87 16 17 C -0.23 -6.59 9.93 -15.06 -0.15 -6.74 16 18 H 0.07 1.90 7.83 -52.49 -0.41 1.49 16 19 C -0.02 -0.48 5.50 -17.43 -0.10 -0.57 16 20 N -0.93 -28.70 13.06 55.49 0.72 -27.97 16 21 Si 0.90 22.78 29.55 -169.99 -5.02 17.75 16 22 H -0.29 -7.29 7.11 56.52 0.40 -6.89 16 23 H -0.29 -7.41 7.11 56.52 0.40 -7.01 16 24 H -0.28 -6.91 7.11 56.52 0.40 -6.51 16 25 C -0.12 -2.05 5.25 -26.73 -0.14 -2.20 16 26 C -0.13 -1.90 4.19 -26.76 -0.11 -2.02 16 27 C 0.09 1.09 5.31 -3.55 -0.02 1.07 16 28 H 0.04 0.33 8.14 -51.93 -0.42 -0.09 16 29 H 0.05 0.50 8.14 -51.93 -0.42 0.08 16 30 H 0.07 0.85 6.09 -51.93 -0.32 0.53 16 31 H 0.06 0.47 8.09 -51.93 -0.42 0.05 16 32 H 0.09 1.13 6.13 -51.93 -0.32 0.81 16 33 H 0.08 0.35 8.14 -51.93 -0.42 -0.07 16 34 H 0.07 0.34 8.12 -51.93 -0.42 -0.08 16 35 H 0.07 0.31 8.07 -51.93 -0.42 -0.11 16 36 H 0.13 0.83 6.16 -52.49 -0.32 0.50 16 37 H 0.07 0.59 8.14 -51.93 -0.42 0.16 16 38 H 0.09 0.58 5.59 -51.93 -0.29 0.29 16 39 H 0.06 0.67 6.26 -51.93 -0.33 0.34 16 40 H 0.10 0.87 8.14 -51.93 -0.42 0.44 16 41 H 0.06 0.84 8.14 -51.93 -0.42 0.42 16 42 H 0.07 0.99 8.14 -51.93 -0.42 0.57 16 43 H 0.06 1.21 8.14 -51.93 -0.42 0.79 16 44 H 0.06 1.27 7.70 -51.93 -0.40 0.87 16 45 H 0.04 0.89 8.08 -51.93 -0.42 0.47 16 46 H 0.38 10.48 7.80 -40.82 -0.32 10.16 16 47 H 0.25 7.55 8.31 -40.82 -0.34 7.21 16 48 H 0.06 1.09 8.14 -51.93 -0.42 0.67 16 49 H 0.06 1.13 7.70 -51.93 -0.40 0.73 16 50 H 0.07 1.03 8.14 -51.93 -0.42 0.61 16 51 H 0.06 0.81 6.11 -51.93 -0.32 0.49 16 52 H 0.10 1.30 7.05 -51.93 -0.37 0.93 16 53 H 0.07 0.81 8.14 -51.93 -0.42 0.39 16 LS Contribution 399.01 15.07 6.01 6.01 Total: -1.00 -32.45 399.01 -9.74 -42.19 By element: Atomic # 1 Polarization: 17.51 SS G_CDS: -9.25 Total: 8.26 kcal Atomic # 6 Polarization: -6.38 SS G_CDS: -1.23 Total: -7.61 kcal Atomic # 7 Polarization: -53.97 SS G_CDS: 0.01 Total: -53.96 kcal Atomic # 8 Polarization: -12.39 SS G_CDS: -0.26 Total: -12.65 kcal Atomic # 14 Polarization: 22.78 SS G_CDS: -5.02 Total: 17.75 kcal Total LS contribution 6.01 Total: 6.01 kcal Total: -32.45 -9.74 -42.19 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. ZINC001105470854.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 -12.708 kcal (2) G-P(sol) polarization free energy of solvation -32.450 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -45.158 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.744 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.195 kcal (6) G-S(sol) free energy of system = (1) + (5) -54.902 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.87 seconds