Wall clock time and date at job start Wed Apr 1 2020 00:24:29 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 1.53003 * 1 3 3 H 1.09001 * 109.51028 * 2 1 4 4 C 1.53090 * 109.50884 * 120.09734 * 2 1 3 5 5 N 1.47010 * 109.29078 * 176.82739 * 4 2 1 6 6 C 1.46896 * 111.00405 * 177.58117 * 5 4 2 7 7 C 1.53000 * 109.47101 * 66.04653 * 6 5 4 8 8 C 1.50703 * 109.47065 * 180.02562 * 7 6 5 9 9 O 1.21278 * 120.00174 * 359.97438 * 8 7 6 10 10 N 1.34776 * 119.99703 * 179.97438 * 8 7 6 11 11 C 1.46502 * 120.00331 * 359.97438 * 10 8 7 12 12 C 1.46506 * 119.99904 * 179.97438 * 10 8 7 13 13 C 1.50700 * 109.46957 * 89.99954 * 12 10 8 14 14 H 1.08002 * 119.99770 * 0.02562 * 13 12 10 15 15 C 1.37871 * 120.00083 * 180.02562 * 13 12 10 16 16 N 1.31514 * 120.00147 * 0.02562 * 15 13 12 17 17 Si 1.86803 * 120.00278 * 180.02562 * 15 13 12 18 18 H 1.48494 * 109.47228 * 179.97438 * 17 15 13 19 19 H 1.48501 * 109.46793 * 300.00001 * 17 15 13 20 20 H 1.48500 * 109.47000 * 60.00094 * 17 15 13 21 21 C 1.47036 * 110.74907 * 301.35590 * 5 4 2 22 22 C 1.52989 * 109.25957 * 58.46001 * 21 5 4 23 23 C 1.53085 * 109.54386 * 63.42611 * 22 21 5 24 24 C 1.53107 * 109.15083 * 176.89349 * 23 22 21 25 25 O 1.42899 * 109.40590 * 302.50936 * 24 23 22 26 26 C 1.42907 * 114.14517 * 61.16348 * 25 24 23 27 27 C 1.53081 * 109.58032 * 183.20285 * 22 21 5 28 28 O 1.42916 * 109.45882 * 303.33028 * 22 21 5 29 29 H 1.08987 * 109.47028 * 299.90381 * 1 2 3 30 30 H 1.09007 * 109.46834 * 59.90728 * 1 2 3 31 31 H 1.09004 * 109.47005 * 179.90241 * 1 2 3 32 32 H 1.08993 * 109.50711 * 56.88131 * 4 2 1 33 33 H 1.09004 * 109.53019 * 296.78752 * 4 2 1 34 34 H 1.08994 * 109.47382 * 306.04524 * 6 5 4 35 35 H 1.09007 * 109.47605 * 186.04754 * 6 5 4 36 36 H 1.08998 * 109.47148 * 60.00209 * 7 6 5 37 37 H 1.08996 * 109.46895 * 299.99725 * 7 6 5 38 38 H 1.08992 * 109.47400 * 270.00210 * 11 10 8 39 39 H 1.09007 * 109.46890 * 30.00395 * 11 10 8 40 40 H 1.09001 * 109.47046 * 149.99537 * 11 10 8 41 41 H 1.08994 * 109.47197 * 330.00343 * 12 10 8 42 42 H 1.08998 * 109.47414 * 210.00023 * 12 10 8 43 43 H 0.97005 * 119.99661 * 359.97438 * 16 15 13 44 44 H 1.08996 * 109.51201 * 178.40106 * 21 5 4 45 45 H 1.09001 * 109.50211 * 298.53016 * 21 5 4 46 46 H 1.09003 * 109.52514 * 296.79817 * 23 22 21 47 47 H 1.08999 * 109.52553 * 56.99171 * 23 22 21 48 48 H 1.08999 * 109.48699 * 182.52685 * 24 23 22 49 49 H 1.09002 * 109.49807 * 62.49427 * 24 23 22 50 50 H 1.08999 * 109.47995 * 178.85646 * 26 25 24 51 51 H 1.09005 * 109.48963 * 58.82100 * 26 25 24 52 52 H 1.08993 * 109.52484 * 303.02956 * 27 22 21 53 53 H 1.09001 * 109.52324 * 63.16222 * 27 22 21 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 1.8941 1.0274 0.0000 4 6 2.0413 -0.7236 1.2485 5 7 3.5094 -0.7876 1.2057 6 6 4.0441 -1.4253 2.4162 7 6 3.6166 -2.8940 2.4502 8 6 4.1646 -3.5480 3.6924 9 8 4.8318 -2.9031 4.4734 10 7 3.9133 -4.8496 3.9355 11 6 3.1069 -5.6285 2.9925 12 6 4.4465 -5.4856 5.1428 13 6 3.4520 -5.3438 6.2662 14 1 2.5163 -4.8316 6.0976 15 6 3.7368 -5.8680 7.5092 16 7 4.8765 -6.4913 7.7147 17 14 2.5039 -5.6929 8.9016 18 1 3.0444 -6.3374 10.1253 19 1 2.2585 -4.2526 9.1672 20 1 1.2284 -6.3500 8.5188 21 6 3.9652 -1.4881 -0.0040 22 6 3.4326 -0.7600 -1.2397 23 6 4.0248 0.6504 -1.2980 24 6 3.5476 1.3431 -2.5773 25 8 3.9301 0.5620 -3.7111 26 6 3.3658 -0.7508 -3.7338 27 6 3.8358 -1.5278 -2.5011 28 8 2.0077 -0.6770 -1.1660 29 1 -0.3633 0.5123 0.8907 30 1 -0.3633 0.5153 -0.8892 31 1 -0.3633 -1.0277 -0.0018 32 1 1.6337 -1.7341 1.2759 33 1 1.7266 -0.1800 2.1393 34 1 3.6572 -0.9138 3.2975 35 1 5.1324 -1.3637 2.4090 36 1 4.0036 -3.4055 1.5690 37 1 2.5284 -2.9555 2.4576 38 1 2.0555 -5.5615 3.2717 39 1 3.2415 -5.2325 1.9858 40 1 3.4239 -6.6711 3.0181 41 1 5.3830 -5.0040 5.4238 42 1 4.6258 -6.5429 4.9476 43 1 5.5166 -6.5825 6.9915 44 1 5.0548 -1.4990 -0.0295 45 1 3.5904 -2.5116 0.0051 46 1 3.6940 1.2206 -0.4298 47 1 5.1130 0.5888 -1.3013 48 1 4.0018 2.3315 -2.6468 49 1 2.4624 1.4427 -2.5540 50 1 3.6894 -1.2699 -4.6360 51 1 2.2782 -0.6793 -3.7257 52 1 4.9199 -1.6365 -2.5304 53 1 3.3710 -2.5137 -2.4917 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 ZINC000366071397.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 00:24:29 Heat of formation + Delta-G solvation = -124.923406 kcal Electronic energy + Delta-G solvation = -31660.286550 eV Core-core repulsion = 27531.907206 eV Total energy + Delta-G solvation = -4128.379344 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.05 seconds Orbital eigenvalues (eV) -41.10012 -39.30142 -38.37953 -36.32197 -34.99341 -34.23047 -32.91536 -31.64039 -31.39421 -30.29875 -27.81763 -27.45359 -26.26801 -25.30212 -24.14581 -23.59615 -22.85958 -22.00950 -20.78851 -19.68011 -18.58857 -17.09050 -16.93156 -16.86013 -16.44024 -16.23388 -15.98861 -15.65565 -15.16379 -15.08978 -15.01373 -14.78307 -14.38287 -13.78845 -13.73535 -13.64598 -13.22120 -12.99713 -12.88184 -12.65953 -12.55437 -12.42733 -12.36956 -12.21011 -12.12514 -12.03084 -11.84849 -11.67322 -11.59432 -11.40054 -11.32323 -10.96096 -10.75828 -10.66525 -10.61049 -10.51617 -10.12622 -9.99551 -9.57512 -9.18024 -9.08111 -8.52589 -8.41822 -7.68483 -6.42181 -4.14162 3.26982 3.27927 3.40165 3.44190 3.52076 3.61610 3.62508 3.86515 4.32169 4.40294 4.44274 4.50754 4.59210 4.70707 4.80901 4.88829 4.96344 5.00259 5.03643 5.05043 5.06598 5.08322 5.25077 5.27411 5.31523 5.33507 5.35146 5.39049 5.45182 5.47033 5.52583 5.55590 5.60475 5.66018 5.74328 5.76600 5.80815 5.86899 5.91379 5.93755 6.03962 6.16993 6.71291 6.75541 6.78503 6.91731 6.96420 7.07108 7.33183 7.99653 8.21360 8.38468 8.73608 8.93985 9.55555 10.95248 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.021578 B = 0.002352 C = 0.002272 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1297.331436 B =11899.777813 C =12323.170024 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.144 4.144 2 C 0.088 3.912 3 H 0.068 0.932 4 C 0.017 3.983 5 N -0.530 5.530 6 C 0.073 3.927 7 C -0.176 4.176 8 C 0.508 3.492 9 O -0.541 6.541 10 N -0.600 5.600 11 C 0.088 3.912 12 C 0.235 3.765 13 C -0.606 4.606 14 H 0.050 0.950 15 C 0.019 3.981 16 N -0.909 5.909 17 Si 1.072 2.928 18 H -0.281 1.281 19 H -0.287 1.287 20 H -0.288 1.288 21 C 0.026 3.974 22 C 0.123 3.877 23 C -0.171 4.171 24 C 0.064 3.936 25 O -0.386 6.386 26 C 0.066 3.934 27 C -0.141 4.141 28 O -0.371 6.371 29 H 0.073 0.927 30 H 0.064 0.936 31 H 0.063 0.937 32 H 0.047 0.953 33 H 0.087 0.913 34 H 0.087 0.913 35 H 0.086 0.914 36 H 0.086 0.914 37 H 0.086 0.914 38 H 0.050 0.950 39 H 0.054 0.946 40 H 0.067 0.933 41 H 0.034 0.966 42 H 0.021 0.979 43 H 0.267 0.733 44 H 0.086 0.914 45 H 0.048 0.952 46 H 0.089 0.911 47 H 0.079 0.921 48 H 0.091 0.909 49 H 0.053 0.947 50 H 0.092 0.908 51 H 0.058 0.942 52 H 0.086 0.914 53 H 0.081 0.919 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -6.615 12.581 -23.687 27.624 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 -0.202 4.202 2 C 0.030 3.970 3 H 0.086 0.914 4 C -0.111 4.111 5 N -0.253 5.253 6 C -0.055 4.055 7 C -0.218 4.218 8 C 0.294 3.706 9 O -0.419 6.419 10 N -0.332 5.332 11 C -0.056 4.056 12 C 0.115 3.885 13 C -0.645 4.645 14 H 0.068 0.932 15 C -0.185 4.185 16 N -0.545 5.545 17 Si 0.899 3.101 18 H -0.206 1.206 19 H -0.214 1.214 20 H -0.215 1.215 21 C -0.102 4.102 22 C 0.083 3.917 23 C -0.208 4.208 24 C -0.013 4.013 25 O -0.304 6.304 26 C -0.011 4.011 27 C -0.179 4.179 28 O -0.291 6.291 29 H 0.092 0.908 30 H 0.083 0.917 31 H 0.082 0.918 32 H 0.065 0.935 33 H 0.105 0.895 34 H 0.105 0.895 35 H 0.104 0.896 36 H 0.104 0.896 37 H 0.104 0.896 38 H 0.068 0.932 39 H 0.073 0.927 40 H 0.085 0.915 41 H 0.052 0.948 42 H 0.039 0.961 43 H 0.077 0.923 44 H 0.104 0.896 45 H 0.067 0.933 46 H 0.107 0.893 47 H 0.098 0.902 48 H 0.109 0.891 49 H 0.071 0.929 50 H 0.110 0.890 51 H 0.076 0.924 52 H 0.104 0.896 53 H 0.100 0.900 Dipole moment (debyes) X Y Z Total from point charges -6.332 13.016 -21.961 26.302 hybrid contribution -0.204 -0.756 -1.060 1.318 sum -6.536 12.259 -23.021 26.888 Atomic orbital electron populations 1.21750 0.92752 1.03082 1.02619 1.22167 0.94652 0.95856 0.84285 0.91404 1.22891 0.88332 1.00586 0.99313 1.62537 1.08697 1.51802 1.02219 1.22004 1.01256 0.90395 0.91877 1.22355 1.02497 0.98952 0.98004 1.20189 0.81216 0.82171 0.87012 1.90673 1.40012 1.62483 1.48744 1.47987 1.51359 1.09729 1.24110 1.21599 0.95734 0.96668 0.91629 1.19361 0.95672 0.91879 0.81576 1.22220 1.04697 1.40540 0.97015 0.93191 1.25828 0.99584 0.93450 0.99636 1.70809 1.07809 1.39875 1.35973 0.83505 0.74492 0.76405 0.75651 1.20584 1.21375 1.21466 1.22791 1.01237 0.96286 0.89895 1.21413 0.81216 0.94866 0.94181 1.22644 1.02117 0.96751 0.99327 1.22533 0.99404 0.94317 0.84997 1.87902 1.72437 1.25804 1.44293 1.22491 0.98066 0.83138 0.97391 1.22172 1.02300 0.99700 0.93718 1.87979 1.20118 1.78178 1.42826 0.90811 0.91698 0.91792 0.93467 0.89460 0.89472 0.89559 0.89601 0.89583 0.93171 0.92694 0.91451 0.94846 0.96138 0.92251 0.89552 0.93344 0.89280 0.90209 0.89089 0.92905 0.88953 0.92390 0.89554 0.90050 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 -0.14 -1.06 9.57 37.16 0.36 -0.71 16 2 C 0.09 0.79 3.03 -26.68 -0.08 0.71 16 3 H 0.07 0.60 6.44 -51.93 -0.33 0.26 16 4 C 0.02 0.17 4.61 -3.72 -0.02 0.16 16 5 N -0.53 -5.85 4.38 -234.37 -1.03 -6.87 16 6 C 0.07 0.98 4.67 -3.83 -0.02 0.96 16 7 C -0.18 -2.53 3.54 -27.88 -0.10 -2.63 16 8 C 0.51 10.44 7.67 -10.98 -0.08 10.36 16 9 O -0.54 -13.48 15.56 5.56 0.09 -13.39 16 10 N -0.60 -12.82 2.86 -182.95 -0.52 -13.34 16 11 C 0.09 1.41 10.29 59.85 0.62 2.02 16 12 C 0.23 6.17 4.52 -5.19 -0.02 6.15 16 13 C -0.61 -17.53 9.39 -34.44 -0.32 -17.86 16 14 H 0.05 1.46 7.81 -52.49 -0.41 1.05 16 15 C 0.02 0.56 5.46 -17.82 -0.10 0.47 16 16 N -0.91 -27.88 13.65 55.43 0.76 -27.13 16 17 Si 1.07 25.70 29.90 -169.99 -5.08 20.62 16 18 H -0.28 -6.68 7.11 56.52 0.40 -6.28 16 19 H -0.29 -6.72 7.11 56.52 0.40 -6.32 16 20 H -0.29 -6.50 7.11 56.52 0.40 -6.10 16 21 C 0.03 0.26 3.83 -3.76 -0.01 0.25 16 22 C 0.12 1.12 0.69 -90.54 -0.06 1.06 16 23 C -0.17 -1.49 4.52 -26.63 -0.12 -1.61 16 24 C 0.06 0.55 6.70 37.21 0.25 0.79 16 25 O -0.39 -3.83 10.76 -35.23 -0.38 -4.21 16 26 C 0.07 0.54 6.70 37.22 0.25 0.79 16 27 C -0.14 -1.13 5.15 -26.63 -0.14 -1.26 16 28 O -0.37 -3.68 8.89 -35.23 -0.31 -4.00 16 29 H 0.07 0.46 8.14 -51.94 -0.42 0.04 16 30 H 0.06 0.45 8.14 -51.93 -0.42 0.02 16 31 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 32 H 0.05 0.51 6.59 -51.93 -0.34 0.17 16 33 H 0.09 0.86 8.12 -51.93 -0.42 0.44 16 34 H 0.09 1.30 8.06 -51.93 -0.42 0.88 16 35 H 0.09 1.25 8.10 -51.93 -0.42 0.83 16 36 H 0.09 1.08 5.68 -51.93 -0.29 0.78 16 37 H 0.09 1.16 6.57 -51.93 -0.34 0.82 16 38 H 0.05 0.79 8.14 -51.93 -0.42 0.36 16 39 H 0.05 0.69 6.44 -51.92 -0.33 0.35 16 40 H 0.07 1.04 7.89 -51.93 -0.41 0.63 16 41 H 0.03 0.98 7.29 -51.93 -0.38 0.60 16 42 H 0.02 0.54 7.76 -51.93 -0.40 0.14 16 43 H 0.27 8.14 7.22 -40.82 -0.29 7.84 16 44 H 0.09 0.85 8.14 -51.93 -0.42 0.42 16 45 H 0.05 0.50 6.40 -51.93 -0.33 0.17 16 46 H 0.09 0.82 6.09 -51.93 -0.32 0.50 16 47 H 0.08 0.71 8.14 -51.93 -0.42 0.29 16 48 H 0.09 0.66 8.14 -51.93 -0.42 0.23 16 49 H 0.05 0.45 7.82 -51.93 -0.41 0.05 16 50 H 0.09 0.60 8.14 -51.93 -0.42 0.18 16 51 H 0.06 0.49 7.82 -51.93 -0.41 0.09 16 52 H 0.09 0.65 8.14 -51.93 -0.42 0.22 16 53 H 0.08 0.61 8.14 -51.93 -0.42 0.19 16 LS Contribution 401.17 15.07 6.05 6.05 Total: -1.00 -34.36 401.17 -9.33 -43.69 By element: Atomic # 1 Polarization: 8.23 SS G_CDS: -9.29 Total: -1.06 kcal Atomic # 6 Polarization: -0.75 SS G_CDS: 0.39 Total: -0.36 kcal Atomic # 7 Polarization: -46.55 SS G_CDS: -0.79 Total: -47.34 kcal Atomic # 8 Polarization: -20.99 SS G_CDS: -0.61 Total: -21.60 kcal Atomic # 14 Polarization: 25.70 SS G_CDS: -5.08 Total: 20.62 kcal Total LS contribution 6.05 Total: 6.05 kcal Total: -34.36 -9.33 -43.69 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. ZINC000366071397.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 -81.231 kcal (2) G-P(sol) polarization free energy of solvation -34.361 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -115.592 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.332 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.693 kcal (6) G-S(sol) free energy of system = (1) + (5) -124.923 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.05 seconds