Wall clock time and date at job start Wed Apr 1 2020 01:37:00 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 H 1.09002 * 109.47593 * 2 1 4 4 C 1.52997 * 109.46846 * 240.00097 * 2 1 3 5 5 O 1.42898 * 109.47095 * 65.00497 * 4 2 1 6 6 C 1.52995 * 109.47376 * 120.00377 * 2 1 3 7 7 C 1.53045 * 109.46018 * 300.06884 * 6 2 1 8 8 C 1.53189 * 109.31369 * 178.61234 * 7 6 2 9 9 N 1.46923 * 108.77845 * 54.63235 * 8 7 6 10 10 C 1.34775 * 120.63557 * 126.41140 * 9 8 7 11 11 O 1.21353 * 120.00499 * 173.00147 * 10 9 8 12 12 C 1.49455 * 119.99474 * 353.00096 * 10 9 8 13 13 O 1.21341 * 120.00189 * 353.48741 * 12 10 9 14 14 N 1.34776 * 119.99745 * 173.48176 * 12 10 9 15 15 C 1.46503 * 120.00101 * 180.02562 * 14 12 10 16 16 C 1.53003 * 109.47281 * 180.02562 * 15 14 12 17 17 C 1.52998 * 109.46966 * 299.99624 * 16 15 14 18 18 C 1.52998 * 109.47318 * 59.99463 * 16 15 14 19 19 C 1.50702 * 109.46788 * 179.97438 * 16 15 14 20 20 H 1.07993 * 120.00211 * 0.02562 * 19 16 15 21 21 C 1.37880 * 119.99460 * 179.97438 * 19 16 15 22 22 N 1.31515 * 120.00305 * 359.97438 * 21 19 16 23 23 Si 1.86803 * 119.99807 * 179.97438 * 21 19 16 24 24 H 1.48504 * 109.46900 * 0.02562 * 23 21 19 25 25 H 1.48499 * 109.46769 * 119.99874 * 23 21 19 26 26 H 1.48494 * 109.47325 * 239.99898 * 23 21 19 27 27 C 1.46925 * 118.73974 * 306.39230 * 9 8 7 28 28 C 1.53035 * 109.46433 * 179.97438 * 6 2 1 29 29 H 1.09001 * 109.46930 * 300.00210 * 1 2 3 30 30 H 1.08999 * 109.46924 * 59.98979 * 1 2 3 31 31 H 1.08989 * 109.47452 * 179.97438 * 1 2 3 32 32 H 1.08997 * 109.47566 * 305.00185 * 4 2 1 33 33 H 1.09000 * 109.47201 * 184.99833 * 4 2 1 34 34 H 0.96707 * 114.00139 * 180.02562 * 5 4 2 35 35 H 1.09004 * 109.46231 * 60.02168 * 6 2 1 36 36 H 1.09007 * 109.49602 * 298.56272 * 7 6 2 37 37 H 1.09002 * 109.49730 * 58.65755 * 7 6 2 38 38 H 1.08999 * 109.58610 * 294.84706 * 8 7 6 39 39 H 1.09003 * 109.58650 * 174.42185 * 8 7 6 40 40 H 0.97001 * 120.00150 * 0.02562 * 14 12 10 41 41 H 1.08999 * 109.46790 * 300.00233 * 15 14 12 42 42 H 1.08991 * 109.47286 * 59.99766 * 15 14 12 43 43 H 1.09003 * 109.46929 * 59.99894 * 17 16 15 44 44 H 1.08991 * 109.47299 * 180.02562 * 17 16 15 45 45 H 1.09004 * 109.47147 * 300.00401 * 17 16 15 46 46 H 1.09001 * 109.46695 * 60.00597 * 18 16 15 47 47 H 1.09004 * 109.46921 * 179.97438 * 18 16 15 48 48 H 1.08993 * 109.47158 * 300.00375 * 18 16 15 49 49 H 0.97003 * 120.00183 * 179.97438 * 22 21 19 50 50 H 1.08997 * 109.58859 * 293.82083 * 27 9 8 51 51 H 1.09000 * 109.58877 * 173.39018 * 27 9 8 52 52 H 1.09001 * 109.49579 * 301.33452 * 28 6 2 53 53 H 1.09000 * 109.49523 * 61.40019 * 28 6 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 1 1.8934 1.0277 0.0000 4 6 2.0399 -0.7212 -1.2492 5 8 1.6620 0.0169 -2.4130 6 6 2.0401 -0.7213 1.2491 7 6 1.5284 -0.0007 2.4986 8 6 2.0122 -0.7455 3.7468 9 7 3.4741 -0.8770 3.6822 10 6 4.2471 -0.4581 4.7037 11 8 5.4390 -0.6860 4.6958 12 6 3.6363 0.2870 5.8462 13 8 2.4699 0.6183 5.8002 14 7 4.3810 0.5909 6.9276 15 6 3.7822 1.3209 8.0478 16 6 4.8348 1.5361 9.1372 17 6 5.3461 0.1800 9.6274 18 6 6.0013 2.3451 8.5666 19 6 4.2189 2.2876 10.2892 20 1 3.1806 2.5817 10.2486 21 6 4.9808 2.5985 11.3955 22 7 6.2449 2.2390 11.4456 23 14 4.2177 3.5306 12.8232 24 1 2.7916 3.8157 12.5224 25 1 4.3081 2.7079 14.0562 26 1 4.9463 4.8084 13.0262 27 6 4.0773 -1.4742 2.4830 28 6 3.5704 -0.7217 1.2486 29 1 -0.3633 0.5139 0.8900 30 1 -0.3633 0.5140 -0.8899 31 1 -0.3634 -1.0275 -0.0005 32 1 1.6053 -1.7197 -1.2952 33 1 3.1262 -0.7995 -1.2057 34 1 1.9525 -0.3832 -3.2441 35 1 1.6770 -1.7491 1.2487 36 1 1.9114 1.0197 2.5126 37 1 0.4386 0.0193 2.4864 38 1 1.5574 -1.7355 3.7808 39 1 1.7349 -0.1830 4.6384 40 1 5.3136 0.3263 6.9642 41 1 3.4183 2.2871 7.6987 42 1 2.9510 0.7448 8.4540 43 1 5.7916 -0.3631 8.7939 44 1 6.0956 0.3333 10.4037 45 1 4.5150 -0.3964 10.0338 46 1 5.6370 3.3113 8.2175 47 1 6.7510 2.4988 9.3429 48 1 6.4468 1.8020 7.7332 49 1 6.7810 2.4581 12.2237 50 1 3.7910 -2.5236 2.4139 51 1 5.1628 -1.3924 2.5406 52 1 3.9337 -1.2148 0.3469 53 1 3.9345 0.3054 1.2735 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) 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 ZINC000593931001.mol2 53 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 01:37:00 Heat of formation + Delta-G solvation = -123.185086 kcal Electronic energy + Delta-G solvation = -30799.491752 eV Core-core repulsion = 26671.187787 eV Total energy + Delta-G solvation = -4128.303965 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.82 seconds Orbital eigenvalues (eV) -40.89304 -39.26591 -38.23103 -37.10294 -36.52348 -34.82735 -33.37703 -31.55858 -30.92778 -30.87597 -27.17465 -26.45354 -25.74433 -25.51616 -24.99475 -23.57300 -22.72356 -21.10714 -20.35118 -19.71408 -18.83849 -17.91536 -17.51443 -16.85069 -16.02401 -15.95012 -15.47129 -15.28672 -14.96739 -14.93741 -14.69781 -14.57513 -14.21084 -14.16689 -13.69132 -13.55230 -13.24322 -12.95852 -12.88173 -12.59308 -12.55119 -12.28073 -12.10595 -11.95757 -11.54133 -11.51150 -11.43065 -11.23406 -11.08347 -10.91645 -10.86084 -10.69556 -10.61992 -10.49824 -10.42139 -10.22980 -10.20885 -9.67958 -9.43726 -8.95071 -8.83065 -8.73992 -8.64557 -8.39656 -6.04502 -4.15300 1.60505 2.50461 3.25776 3.34609 3.38368 3.40234 3.70475 3.80751 4.32764 4.37135 4.42720 4.59407 4.61509 4.72901 4.91613 4.96637 5.00202 5.09102 5.20033 5.22244 5.24251 5.29224 5.44802 5.51774 5.56763 5.62031 5.68957 5.77398 5.82932 5.89762 5.96638 6.07356 6.07827 6.19437 6.20016 6.31265 6.44497 6.68791 6.82843 6.86244 6.93137 6.97975 7.10739 7.22797 7.31105 7.52837 7.58487 7.67916 7.95038 7.98024 8.10457 8.29595 8.38301 8.85151 9.50735 10.96898 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.025945 B = 0.002059 C = 0.001979 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1078.960104 B =13595.565610 C =14141.955809 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C -0.086 4.086 3 H 0.077 0.923 4 C 0.077 3.923 5 O -0.574 6.574 6 C -0.083 4.083 7 C -0.124 4.124 8 C 0.047 3.953 9 N -0.584 5.584 10 C 0.508 3.492 11 O -0.524 6.524 12 C 0.499 3.501 13 O -0.523 6.523 14 N -0.675 5.675 15 C 0.126 3.874 16 C 0.055 3.945 17 C -0.134 4.134 18 C -0.134 4.134 19 C -0.506 4.506 20 H 0.059 0.941 21 C 0.066 3.934 22 N -0.884 5.884 23 Si 0.894 3.106 24 H -0.273 1.273 25 H -0.285 1.285 26 H -0.284 1.284 27 C 0.108 3.892 28 C -0.132 4.132 29 H 0.060 0.940 30 H 0.059 0.941 31 H 0.051 0.949 32 H 0.044 0.956 33 H 0.049 0.951 34 H 0.377 0.623 35 H 0.073 0.927 36 H 0.068 0.932 37 H 0.079 0.921 38 H 0.060 0.940 39 H 0.163 0.837 40 H 0.412 0.588 41 H 0.063 0.937 42 H 0.063 0.937 43 H 0.008 0.992 44 H 0.087 0.913 45 H 0.028 0.972 46 H 0.028 0.972 47 H 0.087 0.913 48 H 0.008 0.992 49 H 0.260 0.740 50 H 0.069 0.931 51 H 0.093 0.907 52 H 0.076 0.924 53 H 0.069 0.931 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -7.068 -8.528 -23.112 25.629 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 -0.203 4.203 2 C -0.105 4.105 3 H 0.096 0.904 4 C -0.001 4.001 5 O -0.379 6.379 6 C -0.102 4.102 7 C -0.162 4.162 8 C -0.074 4.074 9 N -0.318 5.318 10 C 0.291 3.709 11 O -0.400 6.400 12 C 0.280 3.720 13 O -0.404 6.404 14 N -0.326 5.326 15 C 0.005 3.995 16 C 0.054 3.946 17 C -0.191 4.191 18 C -0.192 4.192 19 C -0.545 4.545 20 H 0.077 0.923 21 C -0.136 4.136 22 N -0.522 5.522 23 Si 0.722 3.278 24 H -0.197 1.197 25 H -0.211 1.211 26 H -0.211 1.211 27 C -0.015 4.015 28 C -0.170 4.170 29 H 0.079 0.921 30 H 0.079 0.921 31 H 0.070 0.930 32 H 0.062 0.938 33 H 0.067 0.933 34 H 0.224 0.776 35 H 0.091 0.909 36 H 0.087 0.913 37 H 0.097 0.903 38 H 0.078 0.922 39 H 0.179 0.821 40 H 0.249 0.751 41 H 0.081 0.919 42 H 0.082 0.918 43 H 0.027 0.973 44 H 0.106 0.894 45 H 0.047 0.953 46 H 0.047 0.953 47 H 0.106 0.894 48 H 0.027 0.973 49 H 0.070 0.930 50 H 0.087 0.913 51 H 0.111 0.889 52 H 0.094 0.906 53 H 0.088 0.912 Dipole moment (debyes) X Y Z Total from point charges -7.330 -8.000 -22.514 24.992 hybrid contribution 0.330 -0.140 0.180 0.401 sum -6.999 -8.139 -22.334 24.780 Atomic orbital electron populations 1.21821 0.94523 1.01724 1.02201 1.21143 0.96684 1.00369 0.92294 0.90421 1.22353 0.98158 0.94066 0.85520 1.86483 1.81611 1.53397 1.16407 1.21195 0.94947 0.99859 0.94185 1.21946 1.01198 0.99865 0.93183 1.23323 0.77777 1.02158 1.04116 1.47939 1.08106 1.59207 1.16506 1.20348 0.86611 0.79970 0.83954 1.90742 1.15087 1.55640 1.78532 1.20028 0.86610 0.81410 0.83966 1.90243 1.16144 1.54803 1.79209 1.46277 1.15443 1.54191 1.16654 1.21983 0.97710 0.94707 0.85126 1.18397 0.91184 0.93796 0.91196 1.21857 1.01146 0.96038 1.00086 1.21858 1.00725 0.97738 0.98834 1.20974 0.96986 1.35818 1.00688 0.92270 1.24894 0.94840 0.95619 0.98226 1.69816 1.06491 1.46399 1.29511 0.86499 0.79476 0.79553 0.82245 1.19747 1.21069 1.21059 1.21681 0.99792 0.96524 0.83462 1.22075 0.95720 1.01746 0.97508 0.92120 0.92145 0.92978 0.93796 0.93334 0.77620 0.90872 0.91338 0.90252 0.92155 0.82109 0.75073 0.91850 0.91823 0.97311 0.89409 0.95326 0.95325 0.89427 0.97260 0.92980 0.91266 0.88868 0.90558 0.91179 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 -1.10 8.74 37.16 0.32 -0.78 16 2 C -0.09 -0.67 2.21 -90.62 -0.20 -0.87 16 3 H 0.08 0.71 8.14 -51.93 -0.42 0.28 16 4 C 0.08 0.51 6.21 37.16 0.23 0.74 16 5 O -0.57 -4.31 13.19 -35.23 -0.46 -4.77 16 6 C -0.08 -0.64 1.74 -90.58 -0.16 -0.80 16 7 C -0.12 -1.15 5.04 -26.61 -0.13 -1.29 16 8 C 0.05 0.53 6.27 -3.71 -0.02 0.50 16 9 N -0.58 -7.34 2.97 -173.27 -0.52 -7.85 16 10 C 0.51 7.97 7.74 -11.58 -0.09 7.88 16 11 O -0.52 -9.21 15.94 5.49 0.09 -9.12 16 12 C 0.50 8.54 7.78 -11.58 -0.09 8.45 16 13 O -0.52 -9.28 13.10 5.50 0.07 -9.21 16 14 N -0.68 -12.27 4.95 -60.73 -0.30 -12.57 16 15 C 0.13 2.57 4.50 -4.04 -0.02 2.55 16 16 C 0.05 1.26 0.50 -155.66 -0.08 1.18 16 17 C -0.13 -3.01 8.08 37.16 0.30 -2.71 16 18 C -0.13 -3.03 8.08 37.16 0.30 -2.73 16 19 C -0.51 -12.94 8.01 -34.44 -0.28 -13.21 16 20 H 0.06 1.51 7.74 -52.49 -0.41 1.11 16 21 C 0.07 1.71 5.15 -17.82 -0.09 1.61 16 22 N -0.88 -23.39 9.35 55.43 0.52 -22.87 16 23 Si 0.89 20.44 29.54 -169.99 -5.02 15.42 16 24 H -0.27 -6.21 7.11 56.52 0.40 -5.80 16 25 H -0.28 -6.52 7.11 56.52 0.40 -6.12 16 26 H -0.28 -6.52 7.11 56.52 0.40 -6.12 16 27 C 0.11 1.07 6.41 -3.71 -0.02 1.05 16 28 C -0.13 -1.07 5.05 -26.61 -0.13 -1.20 16 29 H 0.06 0.45 6.40 -51.93 -0.33 0.12 16 30 H 0.06 0.51 7.82 -51.93 -0.41 0.10 16 31 H 0.05 0.36 8.14 -51.94 -0.42 -0.06 16 32 H 0.04 0.25 8.14 -51.93 -0.42 -0.17 16 33 H 0.05 0.28 6.14 -51.93 -0.32 -0.03 16 34 H 0.38 1.17 9.12 45.56 0.42 1.59 16 35 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 36 H 0.07 0.73 8.14 -51.93 -0.42 0.31 16 37 H 0.08 0.65 6.36 -51.93 -0.33 0.32 16 38 H 0.06 0.60 8.14 -51.93 -0.42 0.17 16 39 H 0.16 2.21 3.78 -56.75 -0.21 1.99 16 40 H 0.41 7.45 5.65 -40.82 -0.23 7.22 16 41 H 0.06 1.32 8.14 -51.93 -0.42 0.90 16 42 H 0.06 1.31 8.14 -51.93 -0.42 0.89 16 43 H 0.01 0.16 6.86 -51.93 -0.36 -0.19 16 44 H 0.09 2.19 6.07 -51.93 -0.32 1.88 16 45 H 0.03 0.63 8.14 -51.93 -0.42 0.20 16 46 H 0.03 0.63 8.14 -51.93 -0.42 0.21 16 47 H 0.09 2.19 6.07 -51.93 -0.32 1.88 16 48 H 0.01 0.18 6.86 -51.93 -0.36 -0.18 16 49 H 0.26 6.64 8.31 -40.82 -0.34 6.30 16 50 H 0.07 0.59 8.14 -51.93 -0.42 0.17 16 51 H 0.09 1.03 7.05 -51.93 -0.37 0.66 16 52 H 0.08 0.47 6.25 -51.93 -0.32 0.15 16 53 H 0.07 0.66 8.14 -51.93 -0.42 0.23 16 LS Contribution 400.09 15.07 6.03 6.03 Total: -1.00 -28.66 400.09 -7.82 -36.48 By element: Atomic # 1 Polarization: 16.16 SS G_CDS: -8.07 Total: 8.09 kcal Atomic # 6 Polarization: 0.54 SS G_CDS: -0.16 Total: 0.37 kcal Atomic # 7 Polarization: -42.99 SS G_CDS: -0.30 Total: -43.29 kcal Atomic # 8 Polarization: -22.80 SS G_CDS: -0.31 Total: -23.11 kcal Atomic # 14 Polarization: 20.44 SS G_CDS: -5.02 Total: 15.42 kcal Total LS contribution 6.03 Total: 6.03 kcal Total: -28.66 -7.82 -36.48 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. ZINC000593931001.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 -86.701 kcal (2) G-P(sol) polarization free energy of solvation -28.662 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -115.363 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.822 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -36.484 kcal (6) G-S(sol) free energy of system = (1) + (5) -123.185 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.82 seconds