Wall clock time and date at job start Tue Mar 31 2020 20:59:16 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 1.53000 * 1 3 3 H 1.09006 * 109.58481 * 2 1 4 4 C 1.53159 * 109.59010 * 239.56512 * 2 1 3 5 5 C 1.53044 * 109.33026 * 185.57215 * 4 2 1 6 6 H 1.08994 * 109.46399 * 181.38117 * 5 4 2 7 7 N 1.46505 * 109.45596 * 301.35646 * 5 4 2 8 8 C 1.34771 * 119.99798 * 205.02459 * 7 5 4 9 9 O 1.21279 * 120.00164 * 4.90366 * 8 7 5 10 10 C 1.50701 * 120.00196 * 184.90163 * 8 7 5 11 11 C 1.52997 * 109.54212 * 292.17792 * 10 8 7 12 12 C 1.53000 * 117.50039 * 3.71846 * 11 10 8 13 13 C 1.52999 * 117.49741 * 295.05967 * 11 10 8 14 14 C 1.53180 * 109.53799 * 171.91201 * 10 8 7 15 15 C 1.53093 * 109.16212 * 297.10126 * 14 10 8 16 16 O 1.42909 * 109.41985 * 302.40384 * 15 14 10 17 17 C 1.42899 * 114.09790 * 61.15976 * 16 15 14 18 18 C 1.53093 * 109.41287 * 298.83776 * 17 16 15 19 19 C 1.53039 * 109.52560 * 61.36742 * 5 4 2 20 20 C 1.53191 * 109.31395 * 298.64303 * 19 5 4 21 21 N 1.46923 * 108.77423 * 54.63916 * 20 19 5 22 22 C 1.36938 * 120.63194 * 126.41149 * 21 20 19 23 23 H 1.08002 * 120.00043 * 207.68062 * 22 21 20 24 24 C 1.38810 * 119.99860 * 27.68697 * 22 21 20 25 25 N 1.31617 * 120.00350 * 17.20354 * 24 22 21 26 26 Si 1.86801 * 119.99799 * 197.20069 * 24 22 21 27 27 H 1.48508 * 109.47124 * 94.98569 * 26 24 22 28 28 H 1.48503 * 109.47308 * 214.98046 * 26 24 22 29 29 H 1.48492 * 109.47433 * 334.98469 * 26 24 22 30 30 H 1.08997 * 109.46925 * 299.71774 * 1 2 3 31 31 H 1.08997 * 109.46909 * 59.71942 * 1 2 3 32 32 H 1.09000 * 109.46882 * 179.72385 * 1 2 3 33 33 H 1.08995 * 109.48178 * 65.61797 * 4 2 1 34 34 H 1.09001 * 109.50028 * 305.53073 * 4 2 1 35 35 H 0.96997 * 119.99822 * 25.02382 * 7 5 4 36 36 H 1.09000 * 115.54882 * 149.39041 * 11 10 8 37 37 H 1.08996 * 117.49773 * 0.02562 * 12 11 10 38 38 H 1.09007 * 117.49842 * 145.02009 * 12 11 10 39 39 H 1.09003 * 117.49942 * 214.98028 * 13 11 10 40 40 H 1.08996 * 117.50153 * 359.97438 * 13 11 10 41 41 H 1.08996 * 109.51037 * 177.19902 * 14 10 8 42 42 H 1.09001 * 109.52847 * 57.00720 * 14 10 8 43 43 H 1.09000 * 109.47873 * 182.42175 * 15 14 10 44 44 H 1.08997 * 109.48045 * 62.39408 * 15 14 10 45 45 H 1.08998 * 109.48315 * 58.81721 * 17 16 15 46 46 H 1.08998 * 109.48250 * 178.84171 * 17 16 15 47 47 H 1.09001 * 109.52050 * 177.51901 * 18 17 16 48 48 H 1.09003 * 109.52231 * 297.70191 * 18 17 16 49 49 H 1.08999 * 109.50275 * 58.59727 * 19 5 4 50 50 H 1.09000 * 109.49617 * 178.66521 * 19 5 4 51 51 H 1.09002 * 109.58948 * 174.42332 * 20 19 5 52 52 H 1.08998 * 109.59105 * 294.84585 * 20 19 5 53 53 H 0.96997 * 120.00232 * 180.02562 * 25 24 22 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 1.8954 1.0270 0.0000 4 6 2.0435 -0.7309 -1.2441 5 6 3.5675 -0.8495 -1.1691 6 1 3.9376 -1.3476 -2.0651 7 7 4.1570 0.4885 -1.0756 8 6 5.4208 0.6987 -1.4940 9 8 6.0393 -0.1968 -2.0291 10 6 6.0655 2.0465 -1.2969 11 6 5.3700 3.0811 -2.1839 12 6 4.1589 2.6162 -2.9952 13 6 5.4870 2.9051 -3.6993 14 6 7.5491 1.9641 -1.6691 15 6 8.2504 0.9844 -0.7247 16 8 8.0698 1.4146 0.6261 17 6 6.7044 1.4649 1.0448 18 6 5.9410 2.4642 0.1716 19 6 3.9569 -1.6656 0.0656 20 6 3.4651 -0.9452 1.3249 21 7 2.0226 -0.6980 1.1954 22 6 1.1538 -1.1099 2.1704 23 1 0.1302 -1.3441 1.9178 24 6 1.5887 -1.2263 3.4835 25 7 2.7020 -0.6355 3.8629 26 14 0.5938 -2.2213 4.7121 27 1 1.1343 -3.6027 4.7837 28 1 0.6820 -1.5854 6.0512 29 1 -0.8256 -2.2671 4.2784 30 1 -0.3633 0.5094 0.8925 31 1 -0.3633 0.5182 -0.8874 32 1 -0.3633 -1.0277 -0.0050 33 1 1.7658 -0.1695 -2.1361 34 1 1.6030 -1.7269 -1.2887 35 1 3.6378 1.2229 -0.7127 36 1 5.3545 4.0993 -1.7952 37 1 3.8574 1.5734 -2.8966 38 1 3.3468 3.3287 -3.1404 39 1 5.5482 3.8076 -4.3075 40 1 6.0598 2.0527 -4.0643 41 1 8.0035 2.9503 -1.5740 42 1 7.6481 1.6138 -2.6965 43 1 9.3149 0.9542 -0.9573 44 1 7.8226 -0.0103 -0.8497 45 1 6.2563 0.4766 0.9428 46 1 6.6552 1.7807 2.0868 47 1 4.8900 2.4716 0.4604 48 1 6.3630 3.4604 0.3040 49 1 3.4984 -2.6528 0.0088 50 1 5.0412 -1.7698 0.1057 51 1 3.6518 -1.5688 2.1992 52 1 3.9904 0.0039 1.4317 53 1 3.0061 -0.7172 4.7803 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 ZINC000947571237.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 20:59:16 Heat of formation + Delta-G solvation = -38.281704 kcal Electronic energy + Delta-G solvation = -32892.607386 eV Core-core repulsion = 28958.441159 eV Total energy + Delta-G solvation = -3934.166226 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.41 seconds Orbital eigenvalues (eV) -41.20066 -38.67165 -37.54636 -36.88460 -34.38273 -33.03614 -32.39238 -31.35459 -30.78902 -29.56809 -26.46637 -25.90506 -25.00833 -23.69971 -22.92268 -22.12699 -21.88191 -21.06177 -20.64816 -19.32651 -18.61959 -16.90117 -16.45160 -16.35569 -15.81237 -15.45189 -15.33260 -15.12144 -14.80011 -14.54211 -14.10917 -13.84436 -13.68847 -13.59859 -13.33029 -13.14150 -12.81958 -12.53840 -12.31215 -12.16114 -11.92697 -11.83615 -11.58421 -11.44770 -11.25700 -11.19677 -11.04434 -10.96925 -10.72667 -10.67723 -10.59080 -10.42159 -10.28221 -10.17972 -10.10266 -10.03099 -9.70708 -9.49326 -9.32706 -9.17608 -8.57258 -8.48013 -6.69646 -5.81347 -3.23177 2.83844 3.35454 3.41740 3.43355 3.43996 3.64521 4.04679 4.39767 4.46197 4.61720 4.68058 4.88496 4.97861 5.01910 5.13344 5.21449 5.27230 5.32262 5.36551 5.38847 5.54641 5.57940 5.60745 5.62656 5.71318 5.71694 5.83692 5.85236 5.89698 5.94597 6.02064 6.04049 6.06063 6.10893 6.13717 6.20336 6.25451 6.26648 6.33859 6.40926 6.53511 6.57833 6.71625 6.91705 6.98841 7.00331 7.33477 7.36150 7.63420 7.79515 7.82928 8.41657 8.48513 9.18392 9.82387 10.37886 11.26825 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.014440 B = 0.004331 C = 0.003750 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1938.618606 B = 6463.791358 C = 7464.140062 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.137 4.137 2 C 0.169 3.831 3 H 0.019 0.981 4 C -0.138 4.138 5 C 0.152 3.848 6 H 0.072 0.928 7 N -0.709 5.709 8 C 0.527 3.473 9 O -0.547 6.547 10 C -0.049 4.049 11 C -0.143 4.143 12 C -0.191 4.191 13 C -0.175 4.175 14 C -0.123 4.123 15 C 0.051 3.949 16 O -0.385 6.385 17 C 0.058 3.942 18 C -0.140 4.140 19 C -0.154 4.154 20 C 0.176 3.824 21 N -0.585 5.585 22 C -0.251 4.251 23 H 0.070 0.930 24 C 0.004 3.996 25 N -0.901 5.901 26 Si 0.898 3.102 27 H -0.289 1.289 28 H -0.292 1.292 29 H -0.279 1.279 30 H 0.062 0.938 31 H 0.038 0.962 32 H 0.054 0.946 33 H 0.055 0.945 34 H 0.074 0.926 35 H 0.402 0.598 36 H 0.114 0.886 37 H 0.107 0.893 38 H 0.096 0.904 39 H 0.094 0.906 40 H 0.096 0.904 41 H 0.074 0.926 42 H 0.079 0.921 43 H 0.089 0.911 44 H 0.069 0.931 45 H 0.057 0.943 46 H 0.100 0.900 47 H 0.082 0.918 48 H 0.080 0.920 49 H 0.063 0.937 50 H 0.050 0.950 51 H 0.086 0.914 52 H 0.018 0.982 53 H 0.253 0.747 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 5.337 7.531 -12.432 15.484 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 -0.195 4.195 2 C 0.062 3.938 3 H 0.036 0.964 4 C -0.178 4.178 5 C 0.048 3.952 6 H 0.090 0.910 7 N -0.361 5.361 8 C 0.313 3.687 9 O -0.425 6.425 10 C -0.052 4.052 11 C -0.161 4.161 12 C -0.228 4.228 13 C -0.212 4.212 14 C -0.161 4.161 15 C -0.025 4.025 16 O -0.304 6.304 17 C -0.018 4.018 18 C -0.178 4.178 19 C -0.194 4.194 20 C 0.050 3.950 21 N -0.309 5.309 22 C -0.380 4.380 23 H 0.088 0.912 24 C -0.195 4.195 25 N -0.546 5.546 26 Si 0.729 3.271 27 H -0.216 1.216 28 H -0.219 1.219 29 H -0.205 1.205 30 H 0.081 0.919 31 H 0.057 0.943 32 H 0.073 0.927 33 H 0.073 0.927 34 H 0.093 0.907 35 H 0.239 0.761 36 H 0.132 0.868 37 H 0.126 0.874 38 H 0.115 0.885 39 H 0.113 0.887 40 H 0.114 0.886 41 H 0.093 0.907 42 H 0.098 0.902 43 H 0.107 0.893 44 H 0.087 0.913 45 H 0.075 0.925 46 H 0.118 0.882 47 H 0.100 0.900 48 H 0.099 0.901 49 H 0.082 0.918 50 H 0.069 0.931 51 H 0.104 0.896 52 H 0.036 0.964 53 H 0.063 0.937 Dipole moment (debyes) X Y Z Total from point charges 5.964 6.923 -12.492 15.477 hybrid contribution -0.994 -0.159 0.720 1.238 sum 4.970 6.764 -11.772 14.458 Atomic orbital electron populations 1.21809 0.95887 1.01514 1.00284 1.20357 0.93135 0.93033 0.87238 0.96357 1.22353 0.93965 1.02300 0.99175 1.20897 0.93072 0.82546 0.98720 0.90991 1.46295 1.14001 1.12465 1.63330 1.20252 0.81744 0.89239 0.77464 1.90629 1.62961 1.45467 1.43423 1.20475 0.96178 0.92185 0.96356 1.22225 1.02043 0.99290 0.92542 1.23429 0.91733 1.03627 1.03976 1.22969 1.00782 1.03378 0.94051 1.21983 0.92556 1.00742 1.00854 1.22740 1.00515 0.97874 0.81409 1.87892 1.25617 1.88381 1.28509 1.22621 0.81928 0.98660 0.98635 1.22251 1.02310 1.00762 0.92434 1.22562 0.99647 0.99546 0.97645 1.20726 0.83136 0.97057 0.94083 1.44132 1.02976 1.65059 1.18725 1.19194 0.94327 1.38012 0.86486 0.91189 1.25007 0.97908 0.99788 0.96800 1.70018 1.23942 1.43708 1.16894 0.86334 0.79729 0.80138 0.80919 1.21590 1.21883 1.20466 0.91929 0.94337 0.92689 0.92672 0.90714 0.76123 0.86841 0.87447 0.88522 0.88738 0.88591 0.90726 0.90212 0.89322 0.91291 0.92485 0.88217 0.89993 0.90105 0.91823 0.93113 0.89566 0.96372 0.93730 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 18. 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 -0.14 -2.38 7.93 37.16 0.29 -2.08 16 2 C 0.17 3.13 3.19 -67.61 -0.22 2.91 16 3 H 0.02 0.35 6.65 -51.93 -0.35 0.00 16 4 C -0.14 -2.19 5.07 -26.63 -0.13 -2.33 16 5 C 0.15 2.50 2.82 -67.88 -0.19 2.31 16 6 H 0.07 1.21 7.51 -51.93 -0.39 0.82 16 7 N -0.71 -10.64 2.41 -53.76 -0.13 -10.77 16 8 C 0.53 7.95 3.52 -10.99 -0.04 7.91 16 9 O -0.55 -9.75 13.81 5.56 0.08 -9.67 16 10 C -0.05 -0.61 0.51 -155.48 -0.08 -0.69 16 11 C -0.14 -1.51 5.23 -90.62 -0.47 -1.99 16 12 C -0.19 -2.05 9.20 -26.69 -0.25 -2.29 16 13 C -0.17 -1.77 9.60 -26.69 -0.26 -2.03 16 14 C -0.12 -1.51 4.29 -26.59 -0.11 -1.63 16 15 C 0.05 0.71 6.56 37.21 0.24 0.95 16 16 O -0.39 -5.93 10.77 -35.23 -0.38 -6.31 16 17 C 0.06 0.87 6.62 37.21 0.25 1.12 16 18 C -0.14 -1.79 4.76 -26.59 -0.13 -1.92 16 19 C -0.15 -2.93 5.77 -26.61 -0.15 -3.09 16 20 C 0.18 3.92 5.05 -3.71 -0.02 3.90 16 21 N -0.59 -13.26 2.99 -164.79 -0.49 -13.75 16 22 C -0.25 -6.37 8.63 -15.06 -0.13 -6.50 16 23 H 0.07 1.75 6.18 -52.49 -0.32 1.43 16 24 C 0.00 0.09 4.91 -17.43 -0.09 0.01 16 25 N -0.90 -24.93 11.18 55.49 0.62 -24.31 16 26 Si 0.90 21.10 29.59 -169.99 -5.03 16.07 16 27 H -0.29 -6.86 7.11 56.52 0.40 -6.46 16 28 H -0.29 -6.99 7.11 56.52 0.40 -6.59 16 29 H -0.28 -6.42 7.11 56.52 0.40 -6.02 16 30 H 0.06 1.18 7.60 -51.93 -0.39 0.79 16 31 H 0.04 0.55 8.14 -51.93 -0.42 0.12 16 32 H 0.05 0.98 7.46 -51.93 -0.39 0.59 16 33 H 0.05 0.76 8.14 -51.93 -0.42 0.34 16 34 H 0.07 1.23 8.14 -51.93 -0.42 0.80 16 35 H 0.40 5.92 5.60 -40.82 -0.23 5.69 16 36 H 0.11 1.06 8.08 -51.93 -0.42 0.64 16 37 H 0.11 1.35 5.43 -51.93 -0.28 1.07 16 38 H 0.10 0.91 8.14 -51.92 -0.42 0.49 16 39 H 0.09 0.80 8.14 -51.93 -0.42 0.37 16 40 H 0.10 1.09 7.36 -51.93 -0.38 0.70 16 41 H 0.07 0.82 8.14 -51.93 -0.42 0.40 16 42 H 0.08 0.98 6.93 -51.93 -0.36 0.62 16 43 H 0.09 1.05 8.14 -51.93 -0.42 0.63 16 44 H 0.07 1.11 6.10 -51.93 -0.32 0.79 16 45 H 0.06 0.98 7.25 -51.93 -0.38 0.61 16 46 H 0.10 1.44 8.14 -51.93 -0.42 1.02 16 47 H 0.08 1.08 7.19 -51.93 -0.37 0.71 16 48 H 0.08 0.92 8.14 -51.93 -0.42 0.50 16 49 H 0.06 1.23 8.14 -51.93 -0.42 0.81 16 50 H 0.05 0.98 8.14 -51.93 -0.42 0.56 16 51 H 0.09 2.24 6.03 -51.93 -0.31 1.93 16 52 H 0.02 0.42 7.61 -51.93 -0.40 0.02 16 53 H 0.25 6.87 8.31 -40.82 -0.34 6.53 16 LS Contribution 386.57 15.07 5.83 5.83 Total: -1.00 -28.38 386.57 -10.06 -38.45 By element: Atomic # 1 Polarization: 18.98 SS G_CDS: -9.07 Total: 9.91 kcal Atomic # 6 Polarization: -3.95 SS G_CDS: -1.48 Total: -5.43 kcal Atomic # 7 Polarization: -48.83 SS G_CDS: 0.00 Total: -48.84 kcal Atomic # 8 Polarization: -15.68 SS G_CDS: -0.30 Total: -15.98 kcal Atomic # 14 Polarization: 21.10 SS G_CDS: -5.03 Total: 16.07 kcal Total LS contribution 5.83 Total: 5.83 kcal Total: -28.38 -10.06 -38.45 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. ZINC000947571237.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 0.164 kcal (2) G-P(sol) polarization free energy of solvation -28.383 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -28.219 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.063 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.445 kcal (6) G-S(sol) free energy of system = (1) + (5) -38.282 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.41 seconds