Wall clock time and date at job start Tue Mar 31 2020 21:04:44 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 1.53003 * 1 3 3 C 1.53005 * 109.47266 * 2 1 4 4 C 1.52990 * 109.47436 * 180.02562 * 3 2 1 5 5 H 1.09003 * 109.47076 * 305.00085 * 4 3 2 6 6 C 1.53004 * 109.47429 * 64.99713 * 4 3 2 7 7 C 1.52990 * 109.47429 * 180.02562 * 6 4 3 8 8 C 1.53003 * 109.47483 * 300.00580 * 7 6 4 9 9 C 1.52996 * 109.46890 * 59.99567 * 8 7 6 10 10 C 1.52995 * 109.47464 * 185.00478 * 4 3 2 11 11 H 1.09003 * 109.46653 * 299.99866 * 10 4 3 12 12 N 1.46495 * 109.47367 * 59.99336 * 10 4 3 13 13 C 1.34777 * 120.00025 * 205.00072 * 12 10 4 14 14 O 1.21349 * 120.00176 * 0.02562 * 13 12 10 15 15 C 1.49449 * 119.99491 * 180.02562 * 13 12 10 16 16 O 1.21348 * 120.00408 * 355.00947 * 15 13 12 17 17 N 1.34778 * 119.99670 * 175.00625 * 15 13 12 18 18 C 1.46503 * 120.00179 * 185.77639 * 17 15 13 19 19 C 1.52996 * 109.47410 * 183.69603 * 18 17 15 20 20 C 1.50702 * 115.55125 * 306.42245 * 19 18 17 21 21 H 1.08003 * 120.00450 * 145.10888 * 20 19 18 22 22 C 1.37874 * 119.99777 * 325.10610 * 20 19 18 23 23 N 1.31515 * 120.00079 * 349.44093 * 22 20 19 24 24 Si 1.86801 * 120.00345 * 169.44193 * 22 20 19 25 25 H 1.48499 * 109.47154 * 89.99828 * 24 22 20 26 26 H 1.48495 * 109.47373 * 210.00178 * 24 22 20 27 27 H 1.48498 * 109.46709 * 330.00377 * 24 22 20 28 28 C 1.52996 * 117.50009 * 160.74732 * 19 18 17 29 29 C 1.52997 * 117.49770 * 92.08591 * 19 18 17 30 30 H 1.08997 * 109.46881 * 59.99825 * 1 2 3 31 31 H 1.08998 * 109.47029 * 179.97438 * 1 2 3 32 32 H 1.08998 * 109.47132 * 299.99688 * 1 2 3 33 33 H 1.08998 * 109.47132 * 240.00312 * 2 1 3 34 34 H 1.08997 * 109.46881 * 120.00175 * 2 1 3 35 35 H 1.08999 * 109.46757 * 300.00668 * 3 2 1 36 36 H 1.09007 * 109.46772 * 59.99879 * 3 2 1 37 37 H 1.09001 * 109.47104 * 300.00506 * 6 4 3 38 38 H 1.09003 * 109.46687 * 60.00134 * 6 4 3 39 39 H 1.09006 * 109.47359 * 180.02562 * 7 6 4 40 40 H 1.09003 * 109.47076 * 60.00372 * 7 6 4 41 41 H 1.09003 * 109.46795 * 299.99965 * 8 7 6 42 42 H 1.08998 * 109.47193 * 180.02562 * 8 7 6 43 43 H 1.09001 * 109.46732 * 180.02562 * 9 8 7 44 44 H 1.09003 * 109.47077 * 60.00570 * 9 8 7 45 45 H 0.96999 * 120.00050 * 25.00891 * 12 10 4 46 46 H 0.97001 * 120.00175 * 5.78242 * 17 15 13 47 47 H 1.08998 * 109.47503 * 303.70180 * 18 17 15 48 48 H 1.09003 * 109.46643 * 63.69949 * 18 17 15 49 49 H 0.96999 * 119.99970 * 185.03347 * 23 22 20 50 50 H 1.09003 * 117.50216 * 0.02562 * 28 19 18 51 51 H 1.09005 * 117.50222 * 145.02161 * 28 19 18 52 52 H 1.09005 * 117.50348 * 214.98125 * 29 19 18 53 53 H 1.09000 * 117.50386 * 359.97438 * 29 19 18 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 2.0401 1.4425 0.0000 4 6 3.5700 1.4426 -0.0006 5 1 3.9337 0.8530 0.8409 6 6 4.0795 0.8331 -1.3083 7 6 5.6094 0.8326 -1.3086 8 6 6.1201 2.2693 -1.1825 9 6 5.6106 2.8787 0.1251 10 6 4.0801 2.8795 0.1252 11 1 3.7164 3.4691 -0.7164 12 7 3.5922 3.4630 1.3772 13 6 3.4636 4.7997 1.4926 14 8 3.7515 5.5198 0.5593 15 6 2.9664 5.3949 2.7701 16 8 2.5930 4.6728 3.6711 17 7 2.9329 6.7337 2.9216 18 6 2.5665 7.3157 4.2152 19 6 2.5161 8.8399 4.0928 20 6 3.7570 9.4887 3.5359 21 1 3.6738 10.3642 2.9089 22 6 4.9987 8.9647 3.8267 23 7 5.1204 8.0345 4.7485 24 14 6.5082 9.5758 2.9117 25 1 7.0976 10.7266 3.6420 26 1 7.5086 8.4822 2.8210 27 1 6.1182 10.0046 1.5445 28 6 1.7353 9.6089 5.1605 29 6 1.1691 9.4764 3.7445 30 1 -0.3633 0.5139 -0.8900 31 1 -0.3633 -1.0277 -0.0005 32 1 -0.3633 0.5138 0.8900 33 1 1.8934 -0.5138 -0.8900 34 1 1.8933 -0.5139 0.8900 35 1 1.6766 1.9563 -0.8899 36 1 1.6767 1.9564 0.8900 37 1 3.7161 -0.1907 -1.3978 38 1 3.7158 1.4227 -2.1499 39 1 5.9725 0.3987 -2.2405 40 1 5.9728 0.2427 -0.4671 41 1 5.7567 2.8592 -2.0241 42 1 7.2101 2.2689 -1.1833 43 1 5.9740 3.9024 0.2147 44 1 5.9739 2.2888 0.9666 45 1 3.3618 2.8874 2.1232 46 1 3.1512 7.3120 2.1740 47 1 1.5879 6.9428 4.5173 48 1 3.3087 7.0356 4.9628 49 1 6.0007 7.7180 5.0048 50 1 1.2578 9.0289 5.9503 51 1 2.1189 10.5842 5.4599 52 1 1.1805 10.3647 3.1128 53 1 0.3189 8.8093 3.6020 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 ZINC001323158997.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 21:04:44 Heat of formation + Delta-G solvation = -84.631634 kcal Electronic energy + Delta-G solvation = -30335.172442 eV Core-core repulsion = 26398.996332 eV Total energy + Delta-G solvation = -3936.176110 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) -40.43678 -39.09232 -37.70623 -36.66731 -35.09864 -34.35502 -33.00853 -32.19211 -31.02311 -29.75480 -26.83532 -26.15153 -25.51207 -23.76975 -22.78623 -21.54031 -21.20466 -20.75836 -20.34880 -19.49659 -19.29925 -17.89996 -16.59719 -16.17913 -15.65749 -15.46525 -15.33907 -14.80169 -14.76701 -14.56704 -14.33722 -14.16499 -13.73124 -13.56380 -13.40301 -13.30351 -13.01411 -12.91241 -12.63389 -12.54002 -12.05489 -11.79866 -11.62588 -11.54260 -11.41197 -11.31966 -11.18270 -11.07168 -11.01448 -10.86779 -10.80447 -10.67095 -10.52011 -10.49960 -10.29020 -10.18927 -9.63699 -9.20472 -8.99875 -8.92521 -8.85908 -8.31838 -8.00136 -6.10793 -4.19910 2.02681 2.88946 3.23489 3.32773 3.36679 3.85587 4.22527 4.30365 4.31854 4.48033 4.62136 4.77466 4.88120 4.91956 4.99187 5.02650 5.07155 5.21731 5.24376 5.29497 5.33733 5.41758 5.47710 5.50387 5.53512 5.65972 5.68113 5.81260 5.85060 5.88028 5.92308 5.94911 5.96647 6.03232 6.08819 6.15693 6.19378 6.25861 6.27076 6.49233 6.52268 6.56335 6.65586 6.83996 7.00828 7.21918 7.29120 7.47405 7.49024 7.86328 8.08758 8.27722 8.40568 8.77946 8.82726 9.41625 10.86549 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.012875 B = 0.003189 C = 0.002694 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2174.269143 B = 8778.515039 C =10390.411369 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.154 4.154 2 C -0.124 4.124 3 C -0.119 4.119 4 C -0.093 4.093 5 H 0.077 0.923 6 C -0.111 4.111 7 C -0.121 4.121 8 C -0.116 4.116 9 C -0.133 4.133 10 C 0.150 3.850 11 H 0.090 0.910 12 N -0.703 5.703 13 C 0.509 3.491 14 O -0.521 6.521 15 C 0.493 3.507 16 O -0.549 6.549 17 N -0.650 5.650 18 C 0.158 3.842 19 C 0.036 3.964 20 C -0.499 4.499 21 H 0.063 0.937 22 C 0.076 3.924 23 N -0.871 5.871 24 Si 0.891 3.109 25 H -0.280 1.280 26 H -0.285 1.285 27 H -0.270 1.270 28 C -0.193 4.193 29 C -0.211 4.211 30 H 0.052 0.948 31 H 0.051 0.949 32 H 0.055 0.945 33 H 0.062 0.938 34 H 0.061 0.939 35 H 0.063 0.937 36 H 0.068 0.932 37 H 0.069 0.931 38 H 0.065 0.935 39 H 0.062 0.938 40 H 0.062 0.938 41 H 0.064 0.936 42 H 0.064 0.936 43 H 0.071 0.929 44 H 0.065 0.935 45 H 0.410 0.590 46 H 0.413 0.587 47 H 0.034 0.966 48 H 0.114 0.886 49 H 0.264 0.736 50 H 0.067 0.933 51 H 0.081 0.919 52 H 0.077 0.923 53 H 0.069 0.931 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.468 -16.755 -10.567 19.962 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 -0.211 4.211 2 C -0.161 4.161 3 C -0.157 4.157 4 C -0.112 4.112 5 H 0.095 0.905 6 C -0.149 4.149 7 C -0.159 4.159 8 C -0.154 4.154 9 C -0.171 4.171 10 C 0.046 3.954 11 H 0.108 0.892 12 N -0.357 5.357 13 C 0.291 3.709 14 O -0.396 6.396 15 C 0.273 3.727 16 O -0.429 6.429 17 N -0.299 5.299 18 C 0.036 3.964 19 C 0.035 3.965 20 C -0.536 4.536 21 H 0.082 0.918 22 C -0.129 4.129 23 N -0.507 5.507 24 Si 0.718 3.282 25 H -0.206 1.206 26 H -0.210 1.210 27 H -0.194 1.194 28 C -0.232 4.232 29 C -0.248 4.248 30 H 0.072 0.928 31 H 0.070 0.930 32 H 0.074 0.926 33 H 0.081 0.919 34 H 0.079 0.921 35 H 0.082 0.918 36 H 0.087 0.913 37 H 0.087 0.913 38 H 0.083 0.917 39 H 0.080 0.920 40 H 0.081 0.919 41 H 0.083 0.917 42 H 0.082 0.918 43 H 0.089 0.911 44 H 0.084 0.916 45 H 0.246 0.754 46 H 0.249 0.751 47 H 0.052 0.948 48 H 0.132 0.868 49 H 0.074 0.926 50 H 0.086 0.914 51 H 0.099 0.901 52 H 0.095 0.905 53 H 0.087 0.913 Dipole moment (debyes) X Y Z Total from point charges -2.370 -16.857 -10.539 20.021 hybrid contribution 0.872 0.472 -0.281 1.031 sum -1.497 -16.386 -10.820 19.693 Atomic orbital electron populations 1.21781 0.95980 1.01379 1.01991 1.21565 0.95799 0.96835 1.01907 1.21697 0.94216 0.96915 1.02823 1.21447 0.95693 0.94968 0.99113 0.90489 1.21589 0.95460 1.00980 0.96828 1.21581 0.95580 0.96974 1.01757 1.21489 1.00412 0.95880 0.97625 1.21962 0.95024 1.02056 0.98078 1.21056 0.93703 0.93600 0.87037 0.89235 1.45816 1.66248 1.06639 1.16971 1.20588 0.78441 0.82988 0.88909 1.90733 1.48400 1.60269 1.40219 1.19824 0.81266 0.84255 0.87391 1.90674 1.49147 1.60583 1.42517 1.45707 1.63441 1.04730 1.15979 1.21204 0.98679 0.92041 0.84476 1.19159 0.89840 0.90042 0.97456 1.20506 0.88945 1.12878 1.31301 0.91833 1.24965 0.99001 0.94315 0.94578 1.69823 1.23660 1.28625 1.28580 0.86582 0.82464 0.78416 0.80701 1.20603 1.21029 1.19442 1.22925 1.06666 1.02583 0.91022 1.22977 0.99142 1.03375 0.99356 0.92843 0.92969 0.92592 0.91938 0.92070 0.91814 0.91331 0.91289 0.91664 0.91957 0.91919 0.91719 0.91765 0.91068 0.91638 0.75440 0.75077 0.94804 0.86806 0.92605 0.91437 0.90085 0.90465 0.91283 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 -1.19 9.91 37.16 0.37 -0.82 16 2 C -0.12 -0.95 5.69 -26.73 -0.15 -1.10 16 3 C -0.12 -1.08 4.60 -26.73 -0.12 -1.20 16 4 C -0.09 -0.83 1.76 -90.63 -0.16 -0.99 16 5 H 0.08 0.66 8.14 -51.93 -0.42 0.24 16 6 C -0.11 -0.84 4.96 -26.73 -0.13 -0.97 16 7 C -0.12 -0.92 5.92 -26.73 -0.16 -1.08 16 8 C -0.12 -1.08 5.92 -26.73 -0.16 -1.23 16 9 C -0.13 -1.54 5.50 -26.71 -0.15 -1.69 16 10 C 0.15 1.77 1.90 -67.91 -0.13 1.64 16 11 H 0.09 1.19 7.58 -51.93 -0.39 0.79 16 12 N -0.70 -9.97 4.30 -54.22 -0.23 -10.21 16 13 C 0.51 9.31 7.85 -11.59 -0.09 9.22 16 14 O -0.52 -10.55 16.15 5.50 0.09 -10.47 16 15 C 0.49 10.29 7.88 -11.58 -0.09 10.20 16 16 O -0.55 -12.09 16.48 5.50 0.09 -12.00 16 17 N -0.65 -14.44 5.27 -60.73 -0.32 -14.76 16 18 C 0.16 3.71 4.75 -4.04 -0.02 3.69 16 19 C 0.04 0.84 2.00 -155.66 -0.31 0.53 16 20 C -0.50 -12.85 8.27 -34.44 -0.28 -13.14 16 21 H 0.06 1.64 7.84 -52.48 -0.41 1.23 16 22 C 0.08 1.97 5.13 -17.82 -0.09 1.88 16 23 N -0.87 -23.24 10.75 55.43 0.60 -22.64 16 24 Si 0.89 20.62 29.55 -169.99 -5.02 15.60 16 25 H -0.28 -6.44 7.11 56.52 0.40 -6.04 16 26 H -0.28 -6.67 7.11 56.52 0.40 -6.26 16 27 H -0.27 -6.23 7.11 56.52 0.40 -5.82 16 28 C -0.19 -4.21 9.96 -26.70 -0.27 -4.47 16 29 C -0.21 -4.41 9.92 -26.69 -0.26 -4.68 16 30 H 0.05 0.41 8.14 -51.93 -0.42 -0.01 16 31 H 0.05 0.36 8.14 -51.93 -0.42 -0.06 16 32 H 0.05 0.47 8.14 -51.93 -0.42 0.04 16 33 H 0.06 0.43 6.56 -51.93 -0.34 0.09 16 34 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 35 H 0.06 0.60 8.14 -51.93 -0.42 0.18 16 36 H 0.07 0.72 7.31 -51.93 -0.38 0.34 16 37 H 0.07 0.45 6.56 -51.93 -0.34 0.11 16 38 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 39 H 0.06 0.42 8.14 -51.93 -0.42 -0.01 16 40 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 41 H 0.06 0.62 8.14 -51.93 -0.42 0.19 16 42 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 43 H 0.07 1.02 8.14 -51.93 -0.42 0.59 16 44 H 0.06 0.73 8.14 -51.93 -0.42 0.31 16 45 H 0.41 5.41 7.88 -40.82 -0.32 5.09 16 46 H 0.41 9.34 7.41 -40.82 -0.30 9.04 16 47 H 0.03 0.76 8.06 -51.93 -0.42 0.35 16 48 H 0.11 2.99 6.04 -51.93 -0.31 2.67 16 49 H 0.26 6.86 8.32 -40.82 -0.34 6.52 16 50 H 0.07 1.38 8.14 -51.93 -0.42 0.95 16 51 H 0.08 1.77 8.14 -51.93 -0.42 1.35 16 52 H 0.08 1.58 8.14 -51.93 -0.42 1.15 16 53 H 0.07 1.34 8.14 -51.93 -0.42 0.92 16 LS Contribution 417.71 15.07 6.29 6.29 Total: -1.00 -27.87 417.71 -10.26 -38.13 By element: Atomic # 1 Polarization: 23.81 SS G_CDS: -9.54 Total: 14.26 kcal Atomic # 6 Polarization: -2.01 SS G_CDS: -2.21 Total: -4.22 kcal Atomic # 7 Polarization: -47.65 SS G_CDS: 0.04 Total: -47.61 kcal Atomic # 8 Polarization: -22.64 SS G_CDS: 0.18 Total: -22.46 kcal Atomic # 14 Polarization: 20.62 SS G_CDS: -5.02 Total: 15.60 kcal Total LS contribution 6.29 Total: 6.29 kcal Total: -27.87 -10.26 -38.13 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. ZINC001323158997.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 -46.504 kcal (2) G-P(sol) polarization free energy of solvation -27.866 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -74.369 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.262 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.128 kcal (6) G-S(sol) free energy of system = (1) + (5) -84.632 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.87 seconds