Wall clock time and date at job start Sat Apr 11 2020 06:10:03 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 1.52999 * 1 3 3 C 1.53001 * 109.47125 * 2 1 4 4 O 1.42894 * 109.47072 * 119.99955 * 2 1 3 5 5 C 1.42900 * 114.00313 * 90.00444 * 4 2 1 6 6 C 1.52997 * 109.47400 * 180.02562 * 5 4 2 7 7 C 1.50704 * 109.47231 * 179.97438 * 6 5 4 8 8 O 1.21285 * 119.99929 * 0.02562 * 7 6 5 9 9 N 1.34777 * 120.00011 * 179.97438 * 7 6 5 10 10 C 1.47148 * 120.98621 * 0.02562 * 9 7 6 11 11 C 1.53308 * 108.36816 * 129.38694 * 10 9 7 12 12 O 1.42958 * 109.23015 * 52.35400 * 11 10 9 13 13 C 1.42904 * 114.20486 * 297.50383 * 12 11 10 14 14 C 1.52981 * 109.55892 * 302.52464 * 13 12 11 15 15 C 1.53189 * 109.35369 * 300.95970 * 14 13 12 16 16 N 1.46935 * 108.77697 * 305.43153 * 15 14 13 17 17 C 1.36936 * 120.64362 * 233.65085 * 16 15 14 18 18 H 1.07994 * 119.99982 * 31.10367 * 17 16 15 19 19 C 1.38811 * 120.00002 * 211.10626 * 17 16 15 20 20 N 1.31614 * 120.00398 * 198.72326 * 19 17 16 21 21 Si 1.86805 * 119.99901 * 18.72520 * 19 17 16 22 22 H 1.48498 * 109.46953 * 269.99844 * 21 19 17 23 23 H 1.48503 * 109.47152 * 29.99866 * 21 19 17 24 24 H 1.48499 * 109.47026 * 150.00058 * 21 19 17 25 25 C 1.46936 * 118.71297 * 53.92165 * 16 15 14 26 26 C 1.52991 * 109.54487 * 182.22708 * 13 12 11 27 27 C 1.47151 * 120.98357 * 180.02562 * 9 7 6 28 28 H 1.09005 * 109.46625 * 179.97438 * 1 2 3 29 29 H 1.08991 * 109.47493 * 299.99903 * 1 2 3 30 30 H 1.09003 * 109.46868 * 60.00421 * 1 2 3 31 31 H 1.09000 * 109.47403 * 240.00358 * 2 1 3 32 32 H 1.08997 * 109.47346 * 179.97438 * 3 2 1 33 33 H 1.09002 * 109.47094 * 300.00316 * 3 2 1 34 34 H 1.09004 * 109.46781 * 59.99433 * 3 2 1 35 35 H 1.08998 * 109.47238 * 59.99551 * 5 4 2 36 36 H 1.09003 * 109.46692 * 299.99744 * 5 4 2 37 37 H 1.08998 * 109.47484 * 59.99467 * 6 5 4 38 38 H 1.09003 * 109.46797 * 299.99444 * 6 5 4 39 39 H 1.08999 * 109.68544 * 249.10427 * 10 9 7 40 40 H 1.08992 * 109.68861 * 9.67122 * 10 9 7 41 41 H 1.08999 * 109.50582 * 172.28219 * 11 10 9 42 42 H 1.08998 * 109.51040 * 292.37198 * 11 10 9 43 43 H 1.08998 * 109.49210 * 180.99513 * 14 13 12 44 44 H 1.09004 * 109.51516 * 60.93917 * 14 13 12 45 45 H 1.09003 * 109.59084 * 185.64183 * 15 14 13 46 46 H 1.08998 * 109.70317 * 65.28413 * 15 14 13 47 47 H 0.97005 * 119.99698 * 354.95607 * 20 19 17 48 48 H 1.08996 * 109.58724 * 65.85293 * 25 16 15 49 49 H 1.08997 * 109.58730 * 186.28668 * 25 16 15 50 50 H 1.09004 * 109.49424 * 178.99860 * 26 13 12 51 51 H 1.09001 * 109.49394 * 299.04921 * 26 13 12 52 52 H 1.09009 * 109.67753 * 110.76700 * 27 9 7 53 53 H 1.09003 * 109.68276 * 350.22827 * 27 9 7 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 8 2.0063 -0.6736 1.1667 5 6 2.2001 -2.0781 0.9886 6 6 2.7079 -2.6926 2.2946 7 6 2.9117 -4.1739 2.1069 8 8 2.6747 -4.6876 1.0340 9 7 3.3584 -4.9278 3.1309 10 6 3.6534 -4.3272 4.4415 11 6 2.9358 -5.1461 5.5207 12 8 3.2725 -6.5268 5.3657 13 6 2.8550 -7.0958 4.1231 14 6 1.3418 -6.9329 3.9679 15 6 0.6340 -7.6288 5.1347 16 7 1.0879 -9.0248 5.1985 17 6 0.1839 -10.0534 5.1996 18 1 -0.7554 -9.9472 4.6774 19 6 0.4749 -11.2325 5.8718 20 7 -0.1872 -12.3335 5.5863 21 14 1.8064 -11.2565 7.1819 22 1 3.1121 -11.5833 6.5546 23 1 1.8882 -9.9224 7.8291 24 1 1.4773 -12.2829 8.2033 25 6 2.5305 -9.2956 5.2671 26 6 3.2178 -8.5818 4.0931 27 6 3.5657 -6.3759 2.9715 28 1 -0.3633 -1.0277 -0.0005 29 1 -0.3634 0.5138 0.8899 30 1 -0.3633 0.5138 -0.8901 31 1 1.8934 -0.5138 -0.8900 32 1 3.1300 1.4426 0.0005 33 1 1.6766 1.9564 -0.8900 34 1 1.6765 1.9563 0.8900 35 1 2.9320 -2.2466 0.1987 36 1 1.2538 -2.5433 0.7125 37 1 1.9758 -2.5241 3.0842 38 1 3.6541 -2.2275 2.5711 39 1 4.7284 -4.3461 4.6204 40 1 3.2951 -3.2981 4.4627 41 1 3.2496 -4.8032 6.5066 42 1 1.8581 -5.0195 5.4173 43 1 1.0220 -7.3829 3.0281 44 1 1.0877 -5.8729 3.9685 45 1 -0.4442 -7.6021 4.9765 46 1 0.8789 -7.1220 6.0681 47 1 -0.9272 -12.3057 4.9597 48 1 2.9283 -8.9201 6.2099 49 1 2.7046 -10.3692 5.1963 50 1 2.8831 -9.0190 3.1523 51 1 4.2983 -8.6943 4.1824 52 1 4.6322 -6.5995 3.0010 53 1 3.1476 -6.7040 2.0198 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 ZINC001570478797.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 06:10:03 Heat of formation + Delta-G solvation = -104.337857 kcal Electronic energy + Delta-G solvation = -31575.919302 eV Core-core repulsion = 27448.432614 eV Total energy + Delta-G solvation = -4127.486688 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.86 seconds Orbital eigenvalues (eV) -40.85230 -39.24702 -38.46933 -36.49103 -34.74170 -33.76010 -33.10144 -31.58105 -30.99296 -30.33832 -28.98658 -27.64544 -27.07068 -24.36919 -23.77745 -23.22522 -22.42238 -21.70649 -20.92985 -19.35542 -18.97549 -17.85812 -17.40931 -16.71537 -16.46157 -16.32036 -15.59449 -15.48449 -15.19759 -15.02937 -14.92880 -14.27995 -14.15093 -13.99022 -13.79829 -13.60614 -13.52462 -13.25668 -12.99765 -12.84645 -12.61501 -12.43446 -12.19868 -12.15311 -12.01919 -11.96950 -11.71008 -11.61070 -11.47500 -11.37053 -11.03458 -10.90037 -10.67118 -10.47351 -10.39827 -10.01180 -9.90206 -9.79345 -9.68834 -9.53526 -9.06526 -8.59872 -8.44050 -6.98932 -6.19338 -3.31186 2.39890 2.56705 3.35447 3.44039 3.58331 3.74414 3.81792 4.30522 4.45683 4.59733 4.61665 4.62376 4.69959 4.70580 4.78786 4.84978 4.94075 4.98793 5.08860 5.11675 5.14719 5.20262 5.21883 5.28143 5.39431 5.43767 5.47175 5.48931 5.52820 5.54178 5.55624 5.66564 5.75329 5.77866 5.84070 5.84416 6.06488 6.12091 6.16148 6.21096 6.32115 6.38429 6.61211 6.68402 6.74029 6.88133 6.96239 7.14984 7.37633 7.92730 8.07855 8.49625 9.11008 9.64661 10.26650 11.17823 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.022865 B = 0.002420 C = 0.002327 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1224.265381 B =11569.690060 C =12032.148407 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.177 4.177 2 C 0.082 3.918 3 C -0.149 4.149 4 O -0.387 6.387 5 C 0.078 3.922 6 C -0.138 4.138 7 C 0.520 3.480 8 O -0.541 6.541 9 N -0.610 5.610 10 C 0.071 3.929 11 C 0.043 3.957 12 O -0.359 6.359 13 C 0.117 3.883 14 C -0.153 4.153 15 C 0.153 3.847 16 N -0.604 5.604 17 C -0.342 4.342 18 H 0.063 0.937 19 C -0.017 4.017 20 N -0.923 5.923 21 Si 1.068 2.932 22 H -0.293 1.293 23 H -0.284 1.284 24 H -0.301 1.301 25 C 0.132 3.868 26 C -0.119 4.119 27 C 0.090 3.910 28 H 0.058 0.942 29 H 0.064 0.936 30 H 0.065 0.935 31 H 0.061 0.939 32 H 0.061 0.939 33 H 0.069 0.931 34 H 0.063 0.937 35 H 0.057 0.943 36 H 0.058 0.942 37 H 0.102 0.898 38 H 0.101 0.899 39 H 0.078 0.922 40 H 0.092 0.908 41 H 0.103 0.897 42 H 0.061 0.939 43 H 0.069 0.931 44 H 0.053 0.947 45 H 0.055 0.945 46 H 0.024 0.976 47 H 0.262 0.738 48 H 0.036 0.964 49 H 0.073 0.927 50 H 0.078 0.922 51 H 0.063 0.937 52 H 0.073 0.927 53 H 0.100 0.900 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 8.439 26.176 -7.007 28.381 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 -0.234 4.234 2 C 0.024 3.976 3 C -0.207 4.207 4 O -0.306 6.306 5 C 0.001 3.999 6 C -0.178 4.178 7 C 0.308 3.692 8 O -0.418 6.418 9 N -0.344 5.344 10 C -0.052 4.052 11 C -0.035 4.035 12 O -0.278 6.278 13 C 0.077 3.923 14 C -0.192 4.192 15 C 0.027 3.973 16 N -0.328 5.328 17 C -0.471 4.471 18 H 0.080 0.920 19 C -0.218 4.218 20 N -0.563 5.563 21 Si 0.899 3.101 22 H -0.221 1.221 23 H -0.210 1.210 24 H -0.229 1.229 25 C 0.007 3.993 26 C -0.159 4.159 27 C -0.033 4.033 28 H 0.077 0.923 29 H 0.083 0.917 30 H 0.084 0.916 31 H 0.079 0.921 32 H 0.080 0.920 33 H 0.088 0.912 34 H 0.082 0.918 35 H 0.075 0.925 36 H 0.076 0.924 37 H 0.120 0.880 38 H 0.119 0.881 39 H 0.096 0.904 40 H 0.111 0.889 41 H 0.121 0.879 42 H 0.079 0.921 43 H 0.088 0.912 44 H 0.072 0.928 45 H 0.074 0.926 46 H 0.042 0.958 47 H 0.072 0.928 48 H 0.054 0.946 49 H 0.091 0.909 50 H 0.097 0.903 51 H 0.082 0.918 52 H 0.091 0.909 53 H 0.118 0.882 Dipole moment (debyes) X Y Z Total from point charges 9.222 24.887 -6.237 27.264 hybrid contribution -1.019 1.155 -1.455 2.119 sum 8.204 26.042 -7.693 28.366 Atomic orbital electron populations 1.22310 0.95901 1.02608 1.02594 1.22073 0.93739 0.93663 0.88077 1.21866 1.01761 0.94479 1.02550 1.87836 1.86749 1.20040 1.36020 1.22142 1.00581 0.80950 0.96205 1.21488 1.04356 0.91942 0.99977 1.20377 0.76507 0.88652 0.83631 1.90719 1.51064 1.74331 1.25683 1.48101 1.65824 1.08862 1.11573 1.22532 1.01457 0.98105 0.83084 1.22925 0.99450 0.82868 0.98288 1.88045 1.79816 1.22708 1.37199 1.21747 0.93811 0.93965 0.82777 1.22505 0.94862 0.99782 1.02057 1.20806 0.96663 0.85918 0.93906 1.44318 1.00712 1.01082 1.86700 1.20212 1.01419 0.95081 1.30364 0.91968 1.26276 1.03751 0.92034 0.99726 1.70905 1.22014 1.26386 1.36988 0.83733 0.74702 0.74990 0.76642 1.22144 1.20963 1.22883 1.21369 0.84510 0.98633 0.94833 1.22092 1.00165 0.91404 1.02244 1.22460 1.00912 0.78781 1.01126 0.92306 0.91719 0.91626 0.92118 0.92017 0.91234 0.91757 0.92461 0.92376 0.87996 0.88072 0.90357 0.88926 0.87894 0.92120 0.91181 0.92811 0.92630 0.95834 0.92790 0.94631 0.90922 0.90315 0.91805 0.90865 0.88207 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 -0.18 -1.26 9.53 37.16 0.35 -0.90 16 2 C 0.08 0.64 3.34 -26.73 -0.09 0.55 16 3 C -0.15 -0.91 9.56 37.16 0.36 -0.56 16 4 O -0.39 -3.74 9.99 -35.23 -0.35 -4.10 16 5 C 0.08 0.77 5.04 37.16 0.19 0.96 16 6 C -0.14 -1.24 4.44 -27.88 -0.12 -1.37 16 7 C 0.52 6.46 7.71 -10.98 -0.08 6.37 16 8 O -0.54 -8.69 15.45 5.55 0.09 -8.60 16 9 N -0.61 -7.25 2.52 -172.27 -0.43 -7.68 16 10 C 0.07 0.64 6.54 -3.53 -0.02 0.62 16 11 C 0.04 0.47 6.60 37.32 0.25 0.72 16 12 O -0.36 -5.52 9.00 -35.23 -0.32 -5.84 16 13 C 0.12 1.86 0.68 -90.49 -0.06 1.80 16 14 C -0.15 -2.64 4.33 -26.64 -0.12 -2.76 16 15 C 0.15 3.17 6.28 -3.71 -0.02 3.14 16 16 N -0.60 -14.73 2.71 -172.04 -0.47 -15.19 16 17 C -0.34 -9.75 9.88 -15.06 -0.15 -9.90 16 18 H 0.06 1.90 8.06 -52.49 -0.42 1.48 16 19 C -0.02 -0.49 5.24 -17.43 -0.09 -0.58 16 20 N -0.92 -28.96 13.70 55.49 0.76 -28.20 16 21 Si 1.07 26.89 24.73 -169.99 -4.20 22.69 16 22 H -0.29 -6.92 6.56 56.52 0.37 -6.55 16 23 H -0.28 -6.90 6.80 56.52 0.38 -6.51 16 24 H -0.30 -7.68 7.11 56.52 0.40 -7.28 16 25 C 0.13 2.92 4.00 -3.48 -0.01 2.90 16 26 C -0.12 -2.13 5.12 -26.41 -0.14 -2.26 16 27 C 0.09 1.24 5.30 -3.54 -0.02 1.22 16 28 H 0.06 0.46 7.87 -51.93 -0.41 0.05 16 29 H 0.06 0.47 8.14 -51.93 -0.42 0.04 16 30 H 0.06 0.37 8.14 -51.93 -0.42 -0.05 16 31 H 0.06 0.45 7.79 -51.93 -0.40 0.04 16 32 H 0.06 0.38 8.14 -51.93 -0.42 -0.05 16 33 H 0.07 0.32 8.14 -51.93 -0.42 -0.10 16 34 H 0.06 0.40 8.14 -51.93 -0.42 -0.02 16 35 H 0.06 0.58 8.04 -51.93 -0.42 0.17 16 36 H 0.06 0.63 7.83 -51.93 -0.41 0.22 16 37 H 0.10 0.80 7.66 -51.93 -0.40 0.41 16 38 H 0.10 0.74 8.01 -51.93 -0.42 0.32 16 39 H 0.08 0.64 8.14 -51.93 -0.42 0.21 16 40 H 0.09 0.58 6.05 -51.93 -0.31 0.27 16 41 H 0.10 0.91 8.14 -51.93 -0.42 0.49 16 42 H 0.06 0.71 6.29 -51.93 -0.33 0.38 16 43 H 0.07 1.32 8.14 -51.93 -0.42 0.89 16 44 H 0.05 0.84 6.16 -51.93 -0.32 0.52 16 45 H 0.06 1.17 7.93 -51.93 -0.41 0.76 16 46 H 0.02 0.48 7.83 -51.93 -0.41 0.07 16 47 H 0.26 8.16 8.73 -40.82 -0.36 7.81 16 48 H 0.04 0.79 6.79 -51.93 -0.35 0.44 16 49 H 0.07 1.73 4.76 -51.93 -0.25 1.49 16 50 H 0.08 1.43 8.14 -51.93 -0.42 1.01 16 51 H 0.06 0.99 8.14 -51.93 -0.42 0.57 16 52 H 0.07 0.94 8.14 -51.92 -0.42 0.52 16 53 H 0.10 1.53 7.07 -51.93 -0.37 1.16 16 LS Contribution 398.59 15.07 6.01 6.01 Total: -1.00 -34.03 398.59 -8.18 -42.21 By element: Atomic # 1 Polarization: 8.22 SS G_CDS: -9.47 Total: -1.25 kcal Atomic # 6 Polarization: -0.26 SS G_CDS: 0.21 Total: -0.05 kcal Atomic # 7 Polarization: -50.94 SS G_CDS: -0.14 Total: -51.08 kcal Atomic # 8 Polarization: -17.95 SS G_CDS: -0.58 Total: -18.54 kcal Atomic # 14 Polarization: 26.89 SS G_CDS: -4.20 Total: 22.69 kcal Total LS contribution 6.01 Total: 6.01 kcal Total: -34.03 -8.18 -42.21 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. ZINC001570478797.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 -62.126 kcal (2) G-P(sol) polarization free energy of solvation -34.033 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -96.159 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.179 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.212 kcal (6) G-S(sol) free energy of system = (1) + (5) -104.338 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.86 seconds