Wall clock time and date at job start Thu Mar 4 2021 14:08:14 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 * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS WATER ******************************************************************************* 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 1.50700 * 1 3 3 C 1.36539 * 126.64531 * 2 1 4 4 C 1.46657 * 125.98743 * 359.95866 * 3 2 1 5 5 O 1.21700 * 120.00094 * 353.22084 * 4 3 2 6 6 N 1.34783 * 119.99973 * 173.21332 * 4 3 2 7 7 C 1.46334 * 120.53195 * 175.18084 * 6 4 3 8 8 C 1.52509 * 111.69322 * 250.87724 * 7 6 4 9 9 C 1.53648 * 110.11801 * 288.73203 * 8 7 6 10 10 Si 1.87459 * 107.32248 * 60.34113 * 9 8 7 11 11 C 1.86296 * 110.01787 * 72.58418 * 10 9 8 12 12 C 1.86308 * 110.01489 * 193.91599 * 10 9 8 13 13 C 1.47788 * 120.53114 * 355.16164 * 6 4 3 14 14 O 1.34910 * 108.02729 * 179.70081 * 3 2 1 15 15 C 1.33935 * 109.38238 * 0.26139 * 14 3 2 16 16 C 1.50704 * 125.61658 * 180.02562 * 15 14 3 17 17 O 1.42901 * 109.47307 * 269.97724 * 16 15 14 18 18 C 1.35899 * 116.99927 * 179.97438 * 17 16 15 19 19 C 1.38734 * 120.05409 * 359.73292 * 18 17 16 20 20 C 1.38146 * 119.94015 * 179.74242 * 19 18 17 21 21 C 1.38272 * 120.05513 * 0.50380 * 20 19 18 22 22 C 1.50697 * 119.94079 * 179.74805 * 21 20 19 23 23 O 1.42904 * 109.46819 * 245.02019 * 22 21 20 24 24 Si 1.86298 * 109.47455 * 5.01825 * 22 21 20 25 25 H 1.48500 * 109.46812 * 60.00220 * 24 22 21 26 26 H 1.48503 * 109.47466 * 180.02562 * 24 22 21 27 27 H 1.48499 * 109.47348 * 300.00444 * 24 22 21 28 28 C 1.38258 * 120.11005 * 359.76692 * 21 20 19 29 29 C 1.38146 * 120.06029 * 359.97438 * 28 21 20 30 30 C 1.35127 * 108.76923 * 0.02562 * 15 14 3 31 31 H 1.09000 * 109.47485 * 89.99884 * 1 2 3 32 32 H 1.09004 * 109.46689 * 210.00084 * 1 2 3 33 33 H 1.09004 * 109.47158 * 329.99820 * 1 2 3 34 34 H 1.08999 * 109.03789 * 130.30292 * 7 6 4 35 35 H 1.09007 * 108.97807 * 11.40699 * 7 6 4 36 36 H 1.08998 * 109.36161 * 168.53751 * 8 7 6 37 37 H 1.08994 * 109.35911 * 48.93119 * 8 7 6 38 38 H 1.08992 * 109.89139 * 300.88187 * 9 8 7 39 39 H 1.09004 * 109.94561 * 179.82383 * 9 8 7 40 40 H 1.08997 * 109.47522 * 59.99497 * 11 10 9 41 41 H 1.09002 * 109.46971 * 299.99576 * 11 10 9 42 42 H 1.09000 * 109.47379 * 180.02562 * 11 10 9 43 43 H 1.09005 * 109.46788 * 298.65341 * 12 10 9 44 44 H 1.09002 * 109.47130 * 58.65013 * 12 10 9 45 45 H 1.08994 * 109.47199 * 178.65519 * 12 10 9 46 46 H 1.09000 * 110.08193 * 6.08396 * 13 6 4 47 47 H 1.08996 * 110.08076 * 244.47627 * 13 6 4 48 48 H 1.09000 * 109.47009 * 29.97812 * 16 15 14 49 49 H 1.09001 * 109.46695 * 149.97887 * 16 15 14 50 50 H 1.07997 * 120.02929 * 359.97438 * 19 18 17 51 51 H 1.07998 * 119.96887 * 180.22488 * 20 19 18 52 52 H 1.09005 * 109.47337 * 125.02508 * 22 21 20 53 53 H 0.96701 * 114.00356 * 60.00166 * 23 22 21 54 54 H 1.08007 * 119.97461 * 179.97438 * 28 21 20 55 55 H 1.07999 * 120.02935 * 179.97438 * 29 28 21 56 56 H 1.08004 * 126.44951 * 179.97438 * 30 15 14 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 1.5070 0.0000 0.0000 3 6 2.3219 1.0955 0.0000 4 6 1.8842 2.4952 -0.0009 5 8 0.7038 2.7635 -0.1261 6 7 2.7892 3.4844 0.1372 7 6 2.3806 4.8857 0.0331 8 6 2.8951 5.5291 -1.2504 9 6 4.4156 5.7332 -1.1665 10 14 5.1941 4.0427 -0.9418 11 6 5.0977 3.0796 -2.5336 12 6 6.9716 4.2243 -0.4139 13 6 4.2100 3.1713 0.3965 14 8 3.6004 0.6648 0.0067 15 6 3.6183 -0.6744 0.0052 16 6 4.8550 -1.5356 0.0117 17 8 5.2539 -1.8067 -1.3335 18 6 6.3608 -2.5760 -1.5057 19 6 7.0522 -3.0554 -0.4026 20 6 8.1741 -3.8417 -0.5804 21 6 8.6140 -4.1422 -1.8563 22 6 9.8415 -4.9954 -2.0472 23 8 10.8689 -4.2197 -2.6675 24 14 10.4380 -5.6049 -0.3909 25 1 9.3702 -6.4109 0.2537 26 1 11.6479 -6.4452 -0.5789 27 1 10.7715 -4.4440 0.4730 28 6 7.9300 -3.6609 -2.9572 29 6 6.8044 -2.8787 -2.7848 30 6 2.3449 -1.1262 -0.0031 31 1 -0.3634 0.0000 -1.0276 32 1 -0.3633 -0.8900 0.5139 33 1 -0.3634 0.8900 0.5139 34 1 2.7735 5.4352 0.8885 35 1 1.2919 4.9394 0.0460 36 1 2.4082 6.4941 -1.3912 37 1 2.6633 4.8826 -2.0967 38 1 4.6580 6.3691 -0.3151 39 1 4.7808 6.1902 -2.0862 40 1 5.6305 3.6184 -3.3172 41 1 4.0536 2.9579 -2.8219 42 1 5.5521 2.0989 -2.3930 43 1 7.5281 4.7534 -1.1875 44 1 7.0181 4.7887 0.5175 45 1 7.4084 3.2372 -0.2628 46 1 4.3725 2.0950 0.3397 47 1 4.5021 3.5438 1.3784 48 1 5.6587 -1.0134 0.5307 49 1 4.6415 -2.4741 0.5234 50 1 6.7115 -2.8173 0.5942 51 1 8.7105 -4.2182 0.2780 52 1 9.5967 -5.8475 -2.6813 53 1 11.1377 -3.4432 -2.1576 54 1 8.2758 -3.8966 -3.9528 55 1 6.2707 -2.5026 -3.6451 56 1 2.0306 -2.1595 -0.0067 RHF calculation, no. of doubly occupied orbitals= 73 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=WATER m_22_15766672_4549632.mol2 56 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Thu Mar 4 2021 14:08:14 Heat of formation + Delta-G solvation = -79.272095 kcal Electronic energy + Delta-G solvation = -36536.999303 eV Core-core repulsion = 31923.582230 eV Total energy + Delta-G solvation = -4613.417073 eV No. of doubly occupied orbitals = 73 Molecular weight (most abundant/longest-lived isotopes) = 403.182 amu Computer time = 1.51 seconds Orbital eigenvalues (eV) -44.02016 -41.30882 -40.81035 -39.21712 -37.54741 -37.16390 -35.31824 -33.98114 -33.04510 -32.04825 -31.49986 -29.47644 -29.02219 -28.56886 -28.42785 -27.76341 -26.36673 -26.02342 -24.11198 -23.21674 -22.70753 -22.22950 -21.42838 -20.51270 -19.49706 -18.57753 -18.40068 -17.73687 -17.47847 -17.34260 -16.95445 -16.79051 -16.33241 -16.24933 -15.94181 -15.65461 -15.40129 -15.05509 -14.88465 -14.81987 -14.67542 -14.43981 -14.39789 -14.20440 -14.11831 -13.93143 -13.90942 -13.88231 -13.76181 -13.51684 -13.43520 -13.30442 -13.23312 -13.13857 -12.87896 -12.81289 -12.25909 -12.18036 -12.14891 -12.07816 -12.04322 -12.01155 -11.70739 -11.54408 -11.14833 -10.85758 -10.82396 -10.39675 -10.35772 -10.03506 -9.87662 -9.34137 -9.23357 -0.27321 0.27558 0.31098 0.92496 1.21944 1.30305 1.47628 1.54446 1.54592 1.70758 1.83652 1.93825 1.94870 2.10364 2.35773 2.51651 2.66099 3.21655 3.48290 3.59911 3.61486 3.68996 3.83187 3.92764 3.95382 4.01339 4.05737 4.07451 4.20319 4.27965 4.29957 4.39246 4.45298 4.48367 4.55213 4.60036 4.66010 4.67756 4.67934 4.72146 4.73571 4.80826 4.82926 4.85392 4.88344 4.93426 4.97115 5.00656 5.08553 5.16467 5.19686 5.25282 5.30701 5.41990 5.47732 5.51005 5.52395 5.62013 5.69741 5.70658 6.10211 6.28527 6.74947 6.84151 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.092 4.092 2 C -0.099 4.099 3 C -0.089 4.089 4 C 0.588 3.412 5 O -0.554 6.554 6 N -0.583 5.583 7 C 0.097 3.903 8 C -0.124 4.124 9 C -0.409 4.409 10 Si 1.054 2.946 11 C -0.461 4.461 12 C -0.446 4.446 13 C -0.223 4.223 14 O -0.146 6.146 15 C -0.001 4.001 16 C 0.134 3.866 17 O -0.325 6.325 18 C 0.125 3.875 19 C -0.203 4.203 20 C -0.091 4.091 21 C -0.160 4.160 22 C -0.076 4.076 23 O -0.555 6.555 24 Si 0.980 3.020 25 H -0.256 1.256 26 H -0.280 1.280 27 H -0.248 1.248 28 C -0.056 4.056 29 C -0.161 4.161 30 C -0.185 4.185 31 H 0.075 0.925 32 H 0.090 0.910 33 H 0.067 0.933 34 H 0.098 0.902 35 H 0.079 0.921 36 H 0.086 0.914 37 H 0.053 0.947 38 H 0.093 0.907 39 H 0.084 0.916 40 H 0.075 0.925 41 H 0.048 0.952 42 H 0.064 0.936 43 H 0.076 0.924 44 H 0.081 0.919 45 H 0.073 0.927 46 H 0.113 0.887 47 H 0.097 0.903 48 H 0.106 0.894 49 H 0.127 0.873 50 H 0.157 0.843 51 H 0.137 0.863 52 H 0.121 0.879 53 H 0.388 0.612 54 H 0.140 0.860 55 H 0.133 0.867 56 H 0.182 0.818 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 4.992 -0.275 3.331 6.008 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 -0.149 4.149 2 C -0.102 4.102 3 C -0.140 4.140 4 C 0.378 3.622 5 O -0.436 6.436 6 N -0.313 5.313 7 C -0.024 4.024 8 C -0.162 4.162 9 C -0.495 4.495 10 Si 1.245 2.755 11 C -0.566 4.566 12 C -0.555 4.555 13 C -0.388 4.388 14 O -0.044 6.044 15 C -0.052 4.052 16 C 0.060 3.940 17 O -0.240 6.240 18 C 0.080 3.920 19 C -0.221 4.221 20 C -0.108 4.108 21 C -0.160 4.160 22 C -0.186 4.186 23 O -0.362 6.362 24 Si 0.805 3.195 25 H -0.181 1.181 26 H -0.206 1.206 27 H -0.172 1.172 28 C -0.074 4.074 29 C -0.180 4.180 30 C -0.204 4.204 31 H 0.094 0.906 32 H 0.108 0.892 33 H 0.086 0.914 34 H 0.116 0.884 35 H 0.097 0.903 36 H 0.105 0.895 37 H 0.071 0.929 38 H 0.112 0.888 39 H 0.103 0.897 40 H 0.094 0.906 41 H 0.067 0.933 42 H 0.084 0.916 43 H 0.095 0.905 44 H 0.100 0.900 45 H 0.092 0.908 46 H 0.130 0.870 47 H 0.116 0.884 48 H 0.124 0.876 49 H 0.145 0.855 50 H 0.174 0.826 51 H 0.155 0.845 52 H 0.139 0.861 53 H 0.237 0.763 54 H 0.158 0.842 55 H 0.151 0.849 56 H 0.199 0.801 Dipole moment (debyes) X Y Z Total from point charges 4.702 -0.580 3.507 5.894 hybrid contribution -0.632 0.328 -0.086 0.717 sum 4.070 -0.252 3.422 5.323 Atomic orbital electron populations 1.20412 0.87598 1.03717 1.03130 1.20962 0.98359 0.91402 0.99504 1.21866 0.81846 0.94690 1.15646 1.16971 0.85294 0.82592 0.77378 1.90826 1.17148 1.82519 1.53094 1.47820 1.08705 1.06103 1.68687 1.21602 1.01607 0.79309 0.99895 1.21501 0.96938 1.01347 0.96440 1.26311 0.99785 1.17255 1.06195 0.78954 0.66182 0.66036 0.64295 1.26311 1.03250 1.09161 1.17925 1.26024 1.17670 1.05260 1.06550 1.27868 0.86172 1.10272 1.14438 1.84145 1.27470 1.21491 1.71267 1.22611 0.96867 0.81349 1.04378 1.21264 0.91681 0.98151 0.82876 1.86120 1.42204 1.66455 1.29201 1.19085 0.86446 0.91746 0.94687 1.21434 0.98509 1.03275 0.98904 1.21068 0.96169 0.96797 0.96792 1.20348 0.99486 1.02691 0.93487 1.24962 0.86655 0.96672 1.10340 1.86491 1.55009 1.43535 1.51135 0.85255 0.79293 0.80035 0.74903 1.18053 1.20590 1.17166 1.20959 0.92542 0.94289 0.99588 1.20665 0.99093 1.02876 0.95352 1.21849 0.90967 1.01019 1.06556 0.90630 0.89173 0.91411 0.88393 0.90292 0.89505 0.92852 0.88826 0.89673 0.90577 0.93277 0.91642 0.90468 0.90013 0.90803 0.86985 0.88417 0.87646 0.85533 0.82593 0.84541 0.86104 0.76263 0.84199 0.84946 0.80112 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -0.09 -0.48 9.75 71.24 0.69 0.22 16 2 C -0.10 -0.66 6.20 -19.74 -0.12 -0.79 16 3 C -0.09 -0.74 6.84 24.07 0.16 -0.57 16 4 C 0.59 6.05 7.65 86.44 0.66 6.71 16 5 O -0.55 -8.72 14.23 -4.35 -0.06 -8.78 16 6 N -0.58 -2.45 2.63 -630.23 -1.66 -4.10 16 7 C 0.10 0.14 5.80 86.25 0.50 0.64 16 8 C -0.12 0.10 5.68 30.65 0.17 0.27 16 9 C -0.41 1.85 5.03 72.20 0.36 2.21 16 10 Si 1.05 -5.21 11.99 68.60 0.82 -4.39 16 11 C -0.46 -0.17 8.65 113.37 0.98 0.82 16 12 C -0.45 2.75 8.65 113.37 0.98 3.73 16 13 C -0.22 0.27 5.33 127.52 0.68 0.95 16 14 O -0.15 -0.64 7.09 -5.04 -0.04 -0.68 16 15 C 0.00 0.00 6.94 24.97 0.17 0.17 16 16 C 0.13 -0.57 5.27 71.24 0.38 -0.19 16 17 O -0.33 -0.45 10.12 -92.41 -0.94 -1.39 16 18 C 0.13 0.07 6.69 22.51 0.15 0.22 16 19 C -0.20 0.60 9.04 22.37 0.20 0.81 16 20 C -0.09 0.23 8.66 22.26 0.19 0.42 16 21 C -0.16 0.20 5.35 -19.85 -0.11 0.09 16 22 C -0.08 0.20 2.80 71.23 0.20 0.40 16 23 O -0.55 0.48 12.83 -148.98 -1.91 -1.43 16 24 Si 0.98 -3.00 25.13 68.60 1.72 -1.28 16 25 H -0.26 0.55 7.11 99.48 0.71 1.26 16 26 H -0.28 -0.36 7.11 99.48 0.71 0.35 16 27 H -0.25 0.97 7.04 99.48 0.70 1.67 16 28 C -0.06 0.00 9.68 22.25 0.22 0.21 16 29 C -0.16 -0.22 9.99 22.37 0.22 0.01 16 30 C -0.18 -0.37 10.73 22.07 0.24 -0.13 16 31 H 0.08 0.39 8.14 -2.39 -0.02 0.37 16 32 H 0.09 0.04 8.14 -2.38 -0.02 0.02 16 33 H 0.07 0.61 6.61 -2.38 -0.02 0.59 16 34 H 0.10 -0.29 8.11 -2.39 -0.02 -0.31 16 35 H 0.08 0.41 6.97 -2.38 -0.02 0.40 16 36 H 0.09 -0.20 8.14 -2.39 -0.02 -0.22 16 37 H 0.05 0.12 7.90 -2.39 -0.02 0.10 16 38 H 0.09 -0.64 7.99 -2.39 -0.02 -0.66 16 39 H 0.08 -0.42 7.99 -2.38 -0.02 -0.44 16 40 H 0.08 -0.06 7.96 -2.39 -0.02 -0.08 16 41 H 0.05 0.20 7.96 -2.39 -0.02 0.19 16 42 H 0.06 0.09 7.96 -2.39 -0.02 0.07 16 43 H 0.08 -0.46 7.96 -2.38 -0.02 -0.48 16 44 H 0.08 -0.61 7.96 -2.39 -0.02 -0.63 16 45 H 0.07 -0.44 7.96 -2.39 -0.02 -0.46 16 46 H 0.11 0.01 3.66 -53.05 -0.19 -0.18 16 47 H 0.10 -0.45 8.00 -2.39 -0.02 -0.47 16 48 H 0.11 -0.87 7.65 -2.39 -0.02 -0.89 16 49 H 0.13 -1.21 7.68 -2.39 -0.02 -1.23 16 50 H 0.16 -1.36 6.30 -2.91 -0.02 -1.38 16 51 H 0.14 -0.77 4.86 -2.91 -0.01 -0.78 16 52 H 0.12 -0.45 7.96 -2.38 -0.02 -0.47 16 53 H 0.39 -2.82 8.70 -74.06 -0.64 -3.47 16 54 H 0.14 -0.23 8.06 -2.91 -0.02 -0.25 16 55 H 0.13 0.10 8.06 -2.91 -0.02 0.08 16 56 H 0.18 -0.59 8.06 -2.91 -0.02 -0.61 16 Total: 0.00 -19.49 446.74 5.70 -13.79 By element: Atomic # 1 Polarization: -8.74 SS G_CDS: 0.82 Total: -7.92 kcal Atomic # 6 Polarization: 9.25 SS G_CDS: 6.94 Total: 16.19 kcal Atomic # 7 Polarization: -2.45 SS G_CDS: -1.66 Total: -4.10 kcal Atomic # 8 Polarization: -9.34 SS G_CDS: -2.94 Total: -12.28 kcal Atomic # 14 Polarization: -8.21 SS G_CDS: 2.55 Total: -5.66 kcal Total: -19.49 5.70 -13.79 kcal The number of atoms in the molecule is 56 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. m_22_15766672_4549632.mol2 56 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 -65.484 kcal (2) G-P(sol) polarization free energy of solvation -19.492 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -84.975 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy 5.703 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -13.788 kcal (6) G-S(sol) free energy of system = (1) + (5) -79.272 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.51 seconds