Wall clock time and date at job start Sat Apr 11 2020 06:12:38 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 C 1.52997 * 109.47180 * 2 1 4 4 C 1.53000 * 109.46662 * 239.99910 * 2 1 3 5 5 N 1.46499 * 109.47170 * 60.00337 * 4 2 1 6 6 C 1.36932 * 120.00350 * 179.97438 * 5 4 2 7 7 H 1.08005 * 119.99868 * 359.97438 * 6 5 4 8 8 C 1.38810 * 120.00619 * 180.02562 * 6 5 4 9 9 N 1.31622 * 119.99828 * 359.97438 * 8 6 5 10 10 Si 1.86800 * 120.00512 * 180.02562 * 8 6 5 11 11 H 1.48502 * 109.47104 * 59.99414 * 10 8 6 12 12 H 1.48500 * 109.47186 * 179.97438 * 10 8 6 13 13 H 1.48499 * 109.46733 * 299.99880 * 10 8 6 14 14 C 1.53001 * 109.46981 * 120.00339 * 2 1 3 15 15 C 1.53043 * 109.44748 * 179.97438 * 14 2 1 16 16 C 1.53191 * 109.31132 * 181.37889 * 15 14 2 17 17 N 1.46921 * 108.77411 * 305.35957 * 16 15 14 18 18 C 1.34777 * 120.63225 * 233.58641 * 17 16 15 19 19 O 1.21282 * 119.99945 * 180.02562 * 18 17 16 20 20 C 1.50700 * 119.99997 * 0.02846 * 18 17 16 21 21 C 1.52995 * 109.46979 * 179.97438 * 20 18 17 22 22 N 1.46500 * 109.46935 * 179.97438 * 21 20 18 23 23 C 1.34777 * 119.99953 * 180.02562 * 22 21 20 24 24 N 1.34778 * 119.99933 * 180.02562 * 23 22 21 25 25 O 1.21583 * 120.00173 * 359.97438 * 23 22 21 26 26 C 1.46925 * 118.73795 * 53.61317 * 17 16 15 27 27 C 1.53046 * 109.46008 * 300.02190 * 14 2 1 28 28 H 1.09005 * 109.47243 * 300.00067 * 1 2 3 29 29 H 1.09000 * 109.47231 * 59.99938 * 1 2 3 30 30 H 1.09002 * 109.47199 * 180.02562 * 1 2 3 31 31 H 1.08995 * 109.47302 * 180.02562 * 3 2 1 32 32 H 1.09000 * 109.47089 * 300.00149 * 3 2 1 33 33 H 1.09005 * 109.47083 * 60.00395 * 3 2 1 34 34 H 1.09008 * 109.46946 * 179.97438 * 4 2 1 35 35 H 1.08992 * 109.47337 * 299.99946 * 4 2 1 36 36 H 0.97007 * 120.00299 * 359.97438 * 5 4 2 37 37 H 0.96993 * 120.00331 * 180.02562 * 9 8 6 38 38 H 1.09002 * 109.46300 * 59.99714 * 14 2 1 39 39 H 1.09004 * 109.49679 * 301.32867 * 15 14 2 40 40 H 1.08994 * 109.49744 * 61.42383 * 15 14 2 41 41 H 1.09002 * 109.58035 * 185.57574 * 16 15 14 42 42 H 1.09002 * 109.58818 * 65.15445 * 16 15 14 43 43 H 1.08997 * 109.46971 * 299.99626 * 20 18 17 44 44 H 1.08999 * 109.47199 * 59.99382 * 20 18 17 45 45 H 1.08997 * 109.47190 * 299.99769 * 21 20 18 46 46 H 1.08999 * 109.47434 * 59.99802 * 21 20 18 47 47 H 0.97003 * 120.00112 * 359.97438 * 22 21 20 48 48 H 0.96993 * 120.00091 * 359.97438 * 24 23 22 49 49 H 0.97004 * 119.99883 * 180.02562 * 24 23 22 50 50 H 1.09003 * 109.59222 * 186.59958 * 26 17 16 51 51 H 1.09006 * 109.70276 * 66.24587 * 26 17 16 52 52 H 1.08996 * 109.49923 * 298.58843 * 27 14 2 53 53 H 1.09001 * 109.49381 * 58.67936 * 27 14 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 6 2.0400 1.4425 0.0000 4 6 2.0399 -0.7213 -1.2493 5 7 1.5516 -0.0306 -2.4454 6 6 1.8827 -0.4981 -3.6891 7 1 2.5042 -1.3758 -3.7883 8 6 1.4205 0.1565 -4.8225 9 7 0.6634 1.2265 -4.7018 10 14 1.8716 -0.4817 -6.5192 11 1 1.3677 -1.8697 -6.6760 12 1 1.2570 0.3876 -7.5546 13 1 3.3483 -0.4705 -6.6756 14 6 2.0400 -0.7213 1.2492 15 6 3.5704 -0.7216 1.2484 16 6 4.0776 -1.4743 2.4824 17 7 3.4750 -0.8766 3.6817 18 6 4.2484 -0.4576 4.7028 19 8 3.7388 0.0337 5.6876 20 6 5.7465 -0.5997 4.6209 21 6 6.3815 -0.0509 5.9001 22 7 7.8377 -0.1896 5.8208 23 6 8.6112 0.2293 6.8420 24 7 9.9509 0.1022 6.7687 25 8 8.1004 0.7226 7.8289 26 6 2.0131 -0.7447 3.7469 27 6 1.5292 -0.0001 2.4987 28 1 -0.3634 0.5139 0.8900 29 1 -0.3634 0.5138 -0.8900 30 1 -0.3634 -1.0277 0.0005 31 1 3.1300 1.4425 -0.0005 32 1 1.6767 1.9563 -0.8900 33 1 1.6767 1.9563 0.8901 34 1 3.1300 -0.7209 -1.2495 35 1 1.6766 -1.7489 -1.2493 36 1 0.9936 0.7579 -2.3564 37 1 0.3401 1.6837 -5.4937 38 1 1.6765 -1.7490 1.2490 39 1 3.9336 -1.2147 0.3467 40 1 3.9344 0.3055 1.2736 41 1 5.1630 -1.3928 2.5395 42 1 3.7910 -2.5238 2.4137 43 1 6.0060 -1.6524 4.5087 44 1 6.1181 -0.0404 3.7623 45 1 6.1219 1.0018 6.0119 46 1 6.0099 -0.6099 6.7590 47 1 8.2452 -0.5835 5.0336 48 1 10.3585 -0.2911 5.9813 49 1 10.5076 0.4033 7.5039 50 1 1.7363 -0.1819 4.6383 51 1 1.5561 -1.7338 3.7826 52 1 1.9125 1.0202 2.5120 53 1 0.4395 0.0204 2.4870 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 ZINC001101593277.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:12:38 Heat of formation + Delta-G solvation = -71.464200 kcal Electronic energy + Delta-G solvation = -30358.831313 eV Core-core repulsion = 26265.062885 eV Total energy + Delta-G solvation = -4093.768428 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.84 seconds Orbital eigenvalues (eV) -40.69558 -40.05845 -38.87215 -36.30139 -35.46985 -34.03375 -33.80742 -32.03919 -31.33820 -30.61839 -29.72409 -26.91575 -25.97970 -25.55782 -24.22755 -22.97942 -22.50897 -21.54850 -20.98339 -19.34076 -18.55840 -18.11758 -17.77016 -17.33415 -16.94736 -16.41613 -16.02033 -15.46648 -14.99797 -14.79789 -14.69270 -14.50980 -14.36276 -14.17857 -13.90859 -13.79968 -13.65729 -13.33776 -12.92676 -12.79280 -12.64378 -12.38281 -12.12319 -11.94385 -11.80075 -11.67532 -11.51877 -11.18958 -10.98570 -10.88079 -10.79025 -10.70782 -10.69636 -10.24208 -10.20376 -10.11795 -10.09718 -9.94598 -9.68652 -9.54092 -9.41070 -8.86557 -8.80286 -6.89323 -5.76686 -3.04136 2.34967 2.38150 2.86734 2.88254 3.42278 3.46832 3.47961 4.01829 4.30224 4.34491 4.56689 4.58851 4.63226 4.77165 4.80592 4.95651 4.97841 5.14393 5.23057 5.32299 5.46797 5.48779 5.50669 5.57104 5.60114 5.62320 5.64110 5.77819 5.88191 5.93742 6.01240 6.03198 6.05839 6.11320 6.18346 6.28898 6.32265 6.36062 6.37849 6.38617 6.51071 6.59064 6.71132 6.74631 6.94553 6.97108 7.15995 7.54678 7.68455 7.91788 8.25339 8.43097 9.53929 10.14038 10.48117 11.46276 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.016369 B = 0.001993 C = 0.001844 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1710.146277 B =14042.393001 C =15184.819965 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.138 4.138 2 C -0.065 4.065 3 C -0.138 4.138 4 C 0.163 3.837 5 N -0.729 5.729 6 C -0.237 4.237 7 H 0.068 0.932 8 C -0.015 4.015 9 N -0.934 5.934 10 Si 0.906 3.094 11 H -0.287 1.287 12 H -0.292 1.292 13 H -0.287 1.287 14 C -0.071 4.071 15 C -0.136 4.136 16 C 0.105 3.895 17 N -0.607 5.607 18 C 0.520 3.480 19 O -0.541 6.541 20 C -0.154 4.154 21 C 0.153 3.847 22 N -0.747 5.747 23 C 0.705 3.295 24 N -0.869 5.869 25 O -0.591 6.591 26 C 0.111 3.889 27 C -0.132 4.132 28 H 0.046 0.954 29 H 0.066 0.934 30 H 0.049 0.951 31 H 0.050 0.950 32 H 0.064 0.936 33 H 0.045 0.955 34 H 0.019 0.981 35 H 0.015 0.985 36 H 0.384 0.616 37 H 0.255 0.745 38 H 0.070 0.930 39 H 0.085 0.915 40 H 0.071 0.929 41 H 0.082 0.918 42 H 0.071 0.929 43 H 0.100 0.900 44 H 0.102 0.898 45 H 0.076 0.924 46 H 0.076 0.924 47 H 0.396 0.604 48 H 0.396 0.604 49 H 0.415 0.585 50 H 0.090 0.910 51 H 0.066 0.934 52 H 0.070 0.930 53 H 0.079 0.921 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 13.659 -6.222 19.590 24.679 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 -0.065 4.065 3 C -0.195 4.195 4 C 0.035 3.965 5 N -0.374 5.374 6 C -0.369 4.369 7 H 0.086 0.914 8 C -0.211 4.211 9 N -0.583 5.583 10 Si 0.737 3.263 11 H -0.214 1.214 12 H -0.217 1.217 13 H -0.214 1.214 14 C -0.090 4.090 15 C -0.174 4.174 16 C -0.017 4.017 17 N -0.341 5.341 18 C 0.307 3.693 19 O -0.418 6.418 20 C -0.194 4.194 21 C 0.028 3.972 22 N -0.404 5.404 23 C 0.402 3.598 24 N -0.437 5.437 25 O -0.468 6.468 26 C -0.011 4.011 27 C -0.170 4.170 28 H 0.065 0.935 29 H 0.085 0.915 30 H 0.068 0.932 31 H 0.069 0.931 32 H 0.083 0.917 33 H 0.064 0.936 34 H 0.037 0.963 35 H 0.032 0.968 36 H 0.220 0.780 37 H 0.065 0.935 38 H 0.088 0.912 39 H 0.103 0.897 40 H 0.090 0.910 41 H 0.100 0.900 42 H 0.089 0.911 43 H 0.118 0.882 44 H 0.120 0.880 45 H 0.095 0.905 46 H 0.094 0.906 47 H 0.230 0.770 48 H 0.224 0.776 49 H 0.247 0.753 50 H 0.108 0.892 51 H 0.084 0.916 52 H 0.089 0.911 53 H 0.097 0.903 Dipole moment (debyes) X Y Z Total from point charges 12.823 -5.646 20.754 25.041 hybrid contribution 0.721 -0.446 -1.756 1.950 sum 13.544 -6.092 18.998 24.114 Atomic orbital electron populations 1.21852 0.94655 1.01441 1.01565 1.20685 0.95741 0.95765 0.94304 1.21889 1.00564 0.95616 1.01464 1.20726 0.95862 0.94114 0.85774 1.42427 1.61328 1.33393 1.00295 1.19174 1.25471 1.08499 0.83729 0.91429 1.24720 1.00630 0.98001 0.97730 1.69639 1.39373 1.20879 1.28405 0.86287 0.77779 0.77830 0.84392 1.21370 1.21743 1.21374 1.21091 0.94401 0.99471 0.94083 1.22134 0.96568 1.01517 0.97177 1.21869 0.98015 0.97403 0.84449 1.48133 1.07345 1.61039 1.17595 1.20253 0.88737 0.77730 0.82581 1.90738 1.75313 1.44370 1.31367 1.21837 0.93270 1.04058 1.00228 1.20891 0.76977 1.02610 0.96721 1.45064 1.07314 1.67596 1.20383 1.15935 0.81677 0.78908 0.83235 1.42991 1.05788 1.70065 1.24850 1.91006 1.73180 1.50465 1.32171 1.21657 0.78821 1.00860 0.99750 1.22096 1.01413 0.99978 0.93507 0.93505 0.91530 0.93201 0.93050 0.91656 0.93619 0.96323 0.96752 0.78038 0.93520 0.91171 0.89664 0.90991 0.89952 0.91084 0.88183 0.87996 0.90519 0.90595 0.77028 0.77588 0.75323 0.89166 0.91571 0.91113 0.90270 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -2.08 7.95 37.16 0.30 -1.79 16 2 C -0.06 -0.94 0.33 -154.51 -0.05 -1.00 16 3 C -0.14 -2.08 7.60 37.16 0.28 -1.80 16 4 C 0.16 3.04 4.80 -4.04 -0.02 3.02 16 5 N -0.73 -17.66 5.00 -59.91 -0.30 -17.96 16 6 C -0.24 -6.47 9.99 -15.06 -0.15 -6.62 16 7 H 0.07 1.79 7.83 -52.48 -0.41 1.38 16 8 C -0.01 -0.42 5.50 -17.43 -0.10 -0.52 16 9 N -0.93 -27.80 13.06 55.49 0.72 -27.08 16 10 Si 0.91 22.08 29.55 -169.99 -5.02 17.06 16 11 H -0.29 -6.89 7.11 56.52 0.40 -6.49 16 12 H -0.29 -7.19 7.11 56.52 0.40 -6.79 16 13 H -0.29 -6.87 7.11 56.52 0.40 -6.47 16 14 C -0.07 -0.80 1.51 -90.57 -0.14 -0.94 16 15 C -0.14 -1.33 4.65 -26.61 -0.12 -1.45 16 16 C 0.11 0.78 6.34 -3.71 -0.02 0.75 16 17 N -0.61 -5.64 2.97 -172.77 -0.51 -6.16 16 18 C 0.52 5.33 7.70 -10.98 -0.08 5.25 16 19 O -0.54 -7.72 15.40 5.56 0.09 -7.64 16 20 C -0.15 -0.97 4.16 -27.89 -0.12 -1.09 16 21 C 0.15 1.32 4.96 -4.04 -0.02 1.30 16 22 N -0.75 -4.87 5.56 -65.23 -0.36 -5.24 16 23 C 0.70 6.44 8.84 -86.92 -0.77 5.67 16 24 N -0.87 -3.90 8.88 27.63 0.25 -3.66 16 25 O -0.59 -8.61 17.18 5.29 0.09 -8.52 16 26 C 0.11 1.10 6.43 -3.71 -0.02 1.07 16 27 C -0.13 -1.36 4.65 -26.61 -0.12 -1.49 16 28 H 0.05 0.60 6.40 -51.93 -0.33 0.27 16 29 H 0.07 1.20 6.86 -51.93 -0.36 0.85 16 30 H 0.05 0.73 8.14 -51.93 -0.42 0.31 16 31 H 0.05 0.75 6.46 -51.93 -0.34 0.41 16 32 H 0.06 1.18 6.86 -51.93 -0.36 0.83 16 33 H 0.04 0.61 6.46 -51.93 -0.34 0.27 16 34 H 0.02 0.35 6.40 -51.92 -0.33 0.02 16 35 H 0.01 0.28 8.14 -51.93 -0.42 -0.14 16 36 H 0.38 9.81 5.36 -40.82 -0.22 9.59 16 37 H 0.25 7.39 8.31 -40.82 -0.34 7.05 16 38 H 0.07 0.78 8.14 -51.93 -0.42 0.36 16 39 H 0.08 0.88 6.36 -51.93 -0.33 0.55 16 40 H 0.07 0.76 6.51 -51.93 -0.34 0.42 16 41 H 0.08 0.41 5.93 -51.93 -0.31 0.10 16 42 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 43 H 0.10 0.40 7.94 -51.93 -0.41 -0.01 16 44 H 0.10 0.48 7.69 -51.93 -0.40 0.08 16 45 H 0.08 0.85 8.10 -51.93 -0.42 0.43 16 46 H 0.08 0.81 8.10 -51.93 -0.42 0.39 16 47 H 0.40 1.15 8.49 -40.82 -0.35 0.80 16 48 H 0.40 0.46 8.84 -40.82 -0.36 0.10 16 49 H 0.41 1.60 8.93 -40.82 -0.36 1.23 16 50 H 0.09 1.01 7.01 -51.93 -0.36 0.64 16 51 H 0.07 0.59 8.14 -51.93 -0.42 0.17 16 52 H 0.07 0.80 6.51 -51.93 -0.34 0.47 16 53 H 0.08 0.80 6.36 -51.93 -0.33 0.47 16 LS Contribution 402.74 15.07 6.07 6.07 Total: -1.00 -36.57 402.74 -8.80 -45.37 By element: Atomic # 1 Polarization: 16.02 SS G_CDS: -8.66 Total: 7.36 kcal Atomic # 6 Polarization: 1.54 SS G_CDS: -1.16 Total: 0.38 kcal Atomic # 7 Polarization: -59.88 SS G_CDS: -0.21 Total: -60.09 kcal Atomic # 8 Polarization: -16.33 SS G_CDS: 0.18 Total: -16.16 kcal Atomic # 14 Polarization: 22.08 SS G_CDS: -5.02 Total: 17.06 kcal Total LS contribution 6.07 Total: 6.07 kcal Total: -36.57 -8.80 -45.37 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. ZINC001101593277.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 -26.093 kcal (2) G-P(sol) polarization free energy of solvation -36.568 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -62.661 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.803 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -45.371 kcal (6) G-S(sol) free energy of system = (1) + (5) -71.464 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.84 seconds