Wall clock time and date at job start Wed Apr 1 2020 02:05:21 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 1.53004 * 109.47101 * 2 1 4 4 F 1.39908 * 109.47016 * 240.00553 * 2 1 3 5 5 C 1.50700 * 109.47443 * 120.00371 * 2 1 3 6 6 O 1.21283 * 119.99803 * 249.99837 * 5 2 1 7 7 N 1.34777 * 119.99675 * 70.27712 * 5 2 1 8 8 C 1.46921 * 120.63392 * 359.43977 * 7 5 2 9 9 C 1.52760 * 109.00994 * 233.58899 * 8 7 5 10 10 C 1.53036 * 109.38235 * 305.58739 * 9 8 7 11 11 C 1.53005 * 109.44889 * 181.25525 * 10 9 8 12 12 H 1.09000 * 109.48122 * 299.96303 * 11 10 9 13 13 C 1.53094 * 109.48020 * 59.99675 * 11 10 9 14 14 C 1.53174 * 109.16436 * 177.59350 * 13 11 10 15 15 H 1.08995 * 109.54412 * 62.88304 * 14 13 11 16 16 N 1.46496 * 109.61534 * 183.10993 * 14 13 11 17 17 C 1.36946 * 119.99824 * 204.59751 * 16 14 13 18 18 H 1.08003 * 119.99765 * 0.02562 * 17 16 14 19 19 C 1.38804 * 120.00030 * 179.97438 * 17 16 14 20 20 N 1.31622 * 119.99914 * 359.97438 * 19 17 16 21 21 Si 1.86797 * 119.99989 * 180.02562 * 19 17 16 22 22 H 1.48497 * 109.47237 * 359.97438 * 21 19 17 23 23 H 1.48503 * 109.47345 * 119.99792 * 21 19 17 24 24 H 1.48503 * 109.46997 * 240.00030 * 21 19 17 25 25 C 1.53182 * 109.03369 * 303.01897 * 14 13 11 26 26 C 1.53087 * 109.16320 * 56.98246 * 25 14 13 27 27 O 1.42900 * 109.47911 * 179.97438 * 11 10 9 28 28 C 1.53035 * 109.53955 * 61.24292 * 10 9 8 29 29 C 1.46924 * 120.62813 * 179.72946 * 7 5 2 30 30 H 1.09002 * 109.46827 * 299.99216 * 1 2 3 31 31 H 1.08996 * 109.47137 * 59.99869 * 1 2 3 32 32 H 1.09001 * 109.46865 * 179.97438 * 1 2 3 33 33 H 1.09002 * 109.46794 * 180.02562 * 3 2 1 34 34 H 1.08996 * 109.47136 * 300.00620 * 3 2 1 35 35 H 1.09002 * 109.46640 * 60.00669 * 3 2 1 36 36 H 1.09004 * 109.58490 * 353.42409 * 8 7 5 37 37 H 1.09002 * 109.58518 * 113.84767 * 8 7 5 38 38 H 1.09005 * 109.56000 * 185.55371 * 9 8 7 39 39 H 1.09001 * 109.36136 * 65.50440 * 9 8 7 40 40 H 1.09002 * 109.46377 * 301.22063 * 10 9 8 41 41 H 1.09002 * 109.51936 * 297.50248 * 13 11 10 42 42 H 1.09001 * 109.52050 * 57.68339 * 13 11 10 43 43 H 0.96998 * 120.00769 * 24.59961 * 16 14 13 44 44 H 0.97004 * 119.99545 * 179.97438 * 20 19 17 45 45 H 1.08997 * 109.52104 * 297.07078 * 25 14 13 46 46 H 1.09000 * 109.52116 * 176.88877 * 25 14 13 47 47 H 1.08997 * 109.48053 * 182.40778 * 26 25 14 48 48 H 1.08997 * 109.49431 * 62.37616 * 26 25 14 49 49 H 1.08994 * 109.50277 * 178.68099 * 28 10 9 50 50 H 1.08997 * 109.49664 * 58.58032 * 28 10 9 51 51 H 1.09006 * 109.58353 * 246.15683 * 29 7 5 52 52 H 1.09004 * 109.59032 * 6.43097 * 29 7 5 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 9 1.9963 -0.6594 -1.1424 5 6 2.0324 -0.7105 1.2304 6 8 2.5733 -0.0817 2.1153 7 7 1.8857 -2.0453 1.3448 8 6 1.2271 -2.8198 0.2841 9 6 0.0968 -3.6436 0.8981 10 6 0.6517 -4.4924 2.0443 11 6 -0.4730 -5.3416 2.6401 12 1 -1.2593 -4.6891 3.0195 13 6 -1.0483 -6.2589 1.5578 14 6 -2.1319 -7.1477 2.1758 15 1 -2.9497 -6.5260 2.5399 16 7 -2.6376 -8.0809 1.1661 17 6 -3.8955 -8.6080 1.2898 18 1 -4.5148 -8.3354 2.1316 19 6 -4.3749 -9.4917 0.3328 20 7 -3.6207 -9.8226 -0.6939 21 14 -6.0909 -10.2102 0.5012 22 1 -6.7297 -9.6827 1.7337 23 1 -6.9053 -9.8293 -0.6808 24 1 -6.0019 -11.6902 0.5850 25 6 -1.5272 -7.9341 3.3431 26 6 -0.9334 -6.9522 4.3564 27 8 0.0446 -6.1349 3.7101 28 6 1.2275 -3.5768 3.1269 29 6 2.3756 -2.7529 2.5356 30 1 -0.3633 0.5137 0.8901 31 1 -0.3633 0.5138 -0.8899 32 1 -0.3633 -1.0277 -0.0005 33 1 3.1300 1.4425 -0.0005 34 1 1.6766 1.9564 -0.8899 35 1 1.6767 1.9563 0.8901 36 1 0.8178 -2.1405 -0.4638 37 1 1.9505 -3.4880 -0.1832 38 1 -0.3341 -4.2956 0.1381 39 1 -0.6723 -2.9729 1.2812 40 1 1.4378 -5.1454 1.6651 41 1 -1.4832 -5.6545 0.7617 42 1 -0.2538 -6.8835 1.1495 43 1 -2.0816 -8.3254 0.4098 44 1 -3.9557 -10.4405 -1.3625 45 1 -0.7424 -8.5926 2.9709 46 1 -2.3046 -8.5280 3.8238 47 1 -0.4639 -7.5075 5.1684 48 1 -1.7257 -6.3208 4.7584 49 1 1.6013 -4.1811 3.9534 50 1 0.4478 -2.9067 3.4891 51 1 3.1946 -3.4155 2.2557 52 1 2.7262 -2.0297 3.2720 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) F: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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 ZINC001075384613.mol2 52 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 02:05:21 Heat of formation + Delta-G solvation = -129.321182 kcal Electronic energy + Delta-G solvation = -31648.081286 eV Core-core repulsion = 27368.739456 eV Total energy + Delta-G solvation = -4279.341829 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 342.211 amu Computer time = 0.85 seconds Orbital eigenvalues (eV) -48.38129 -40.58088 -39.37533 -37.58022 -35.07497 -34.23715 -33.81158 -32.23996 -31.36547 -30.03316 -29.25256 -27.91787 -26.33965 -24.55628 -23.61376 -23.47750 -22.54905 -21.61913 -20.53661 -19.79713 -19.22217 -17.95588 -17.18512 -16.80938 -16.33894 -15.99151 -15.83742 -15.53032 -15.00093 -14.89952 -14.58521 -14.38605 -14.25004 -13.82665 -13.76711 -13.60274 -13.41978 -13.26806 -13.07345 -12.89630 -12.77101 -12.69130 -12.50297 -12.44244 -12.32681 -12.21690 -11.54188 -11.46547 -11.31064 -11.06180 -10.98712 -10.90037 -10.80969 -10.68505 -10.61520 -10.29781 -10.16559 -9.95433 -9.83082 -9.73717 -9.17107 -8.94613 -8.91769 -7.01079 -5.81590 -3.10661 2.10485 2.53825 3.39157 3.44925 3.47100 3.73087 3.87715 4.00582 4.18734 4.33512 4.48230 4.53618 4.61376 4.81172 4.85630 5.04423 5.07087 5.09881 5.14763 5.21717 5.24285 5.30467 5.32062 5.42326 5.44649 5.49329 5.53156 5.53484 5.58869 5.62545 5.67543 5.68869 5.74409 5.75344 5.84009 5.91389 5.96429 5.99505 6.20691 6.27219 6.28344 6.38668 6.42057 6.58197 6.79580 6.99318 7.02848 7.50362 7.65168 7.68589 8.36843 9.48171 10.05447 10.40420 11.41025 Molecular weight = 342.21amu Principal moments of inertia in cm(-1) A = 0.016109 B = 0.002450 C = 0.002218 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1737.714959 B =11426.307887 C =12622.528057 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.181 4.181 2 C 0.102 3.898 3 C -0.157 4.157 4 F -0.193 7.193 5 C 0.502 3.498 6 O -0.530 6.530 7 N -0.598 5.598 8 C 0.094 3.906 9 C -0.134 4.134 10 C -0.077 4.077 11 C 0.102 3.898 12 H 0.053 0.947 13 C -0.153 4.153 14 C 0.178 3.822 15 H 0.044 0.956 16 N -0.723 5.723 17 C -0.239 4.239 18 H 0.070 0.930 19 C -0.013 4.013 20 N -0.932 5.932 21 Si 0.906 3.094 22 H -0.281 1.281 23 H -0.291 1.291 24 H -0.291 1.291 25 C -0.172 4.172 26 C 0.065 3.935 27 O -0.383 6.383 28 C -0.124 4.124 29 C 0.109 3.891 30 H 0.082 0.918 31 H 0.083 0.917 32 H 0.081 0.919 33 H 0.072 0.928 34 H 0.075 0.925 35 H 0.084 0.916 36 H 0.099 0.901 37 H 0.076 0.924 38 H 0.090 0.910 39 H 0.069 0.931 40 H 0.081 0.919 41 H 0.073 0.927 42 H 0.068 0.932 43 H 0.384 0.616 44 H 0.255 0.745 45 H 0.064 0.936 46 H 0.069 0.931 47 H 0.084 0.916 48 H 0.042 0.958 49 H 0.087 0.913 50 H 0.064 0.936 51 H 0.071 0.929 52 H 0.092 0.908 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 11.454 19.811 3.667 23.176 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 -0.239 4.239 2 C 0.081 3.919 3 C -0.215 4.215 4 F -0.174 7.174 5 C 0.287 3.713 6 O -0.406 6.406 7 N -0.330 5.330 8 C -0.028 4.028 9 C -0.172 4.172 10 C -0.096 4.096 11 C 0.044 3.956 12 H 0.071 0.929 13 C -0.192 4.192 14 C 0.068 3.932 15 H 0.062 0.938 16 N -0.363 5.363 17 C -0.370 4.370 18 H 0.088 0.912 19 C -0.210 4.210 20 N -0.580 5.580 21 Si 0.737 3.263 22 H -0.206 1.206 23 H -0.218 1.218 24 H -0.219 1.219 25 C -0.213 4.213 26 C -0.012 4.012 27 O -0.302 6.302 28 C -0.162 4.162 29 C -0.013 4.013 30 H 0.101 0.899 31 H 0.102 0.898 32 H 0.100 0.900 33 H 0.092 0.908 34 H 0.094 0.906 35 H 0.103 0.897 36 H 0.117 0.883 37 H 0.094 0.906 38 H 0.108 0.892 39 H 0.088 0.912 40 H 0.100 0.900 41 H 0.091 0.909 42 H 0.087 0.913 43 H 0.218 0.782 44 H 0.065 0.935 45 H 0.083 0.917 46 H 0.087 0.913 47 H 0.102 0.898 48 H 0.061 0.939 49 H 0.105 0.895 50 H 0.083 0.917 51 H 0.089 0.911 52 H 0.110 0.890 Dipole moment (debyes) X Y Z Total from point charges 11.760 20.069 4.196 23.636 hybrid contribution -1.135 -0.940 -0.391 1.525 sum 10.625 19.129 3.806 22.210 Atomic orbital electron populations 1.22588 0.91330 1.05001 1.04936 1.21174 0.96556 0.93484 0.80693 1.22164 1.03068 0.92192 1.04035 1.92895 1.90221 1.82394 1.51860 1.20809 0.79494 0.82403 0.88550 1.90710 1.42838 1.65457 1.41645 1.48152 1.57718 1.06323 1.20829 1.22096 0.95374 0.95735 0.89608 1.21994 0.97670 0.98843 0.98742 1.21106 0.97739 0.95771 0.94965 1.22011 0.94560 0.91439 0.87592 0.92892 1.22537 0.99565 0.98731 0.98345 1.20195 0.93004 0.90501 0.89499 0.93774 1.42421 1.16057 1.51878 1.25961 1.19271 0.91313 1.20208 1.06225 0.91218 1.24746 0.98421 1.00433 0.97351 1.69673 1.36525 1.38490 1.13340 0.86139 0.84204 0.78769 0.77206 1.20583 1.21835 1.21852 1.22933 1.00891 0.99184 0.98260 1.22574 0.91322 0.92411 0.94878 1.87810 1.35942 1.58230 1.48263 1.21896 0.97818 0.97861 0.98596 1.21734 0.96597 0.95874 0.87097 0.89864 0.89758 0.89989 0.90846 0.90575 0.89714 0.88259 0.90568 0.89153 0.91219 0.90044 0.90862 0.91305 0.78246 0.93530 0.91741 0.91282 0.89755 0.93923 0.89478 0.91719 0.91110 0.88967 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 -0.18 -1.21 8.57 37.16 0.32 -0.89 16 2 C 0.10 0.89 1.20 -91.77 -0.11 0.78 16 3 C -0.16 -1.18 8.28 37.16 0.31 -0.88 16 4 F -0.19 -1.87 14.61 2.25 0.03 -1.84 16 5 C 0.50 5.57 6.77 -10.98 -0.07 5.50 16 6 O -0.53 -7.33 15.39 5.55 0.09 -7.25 16 7 N -0.60 -6.04 2.98 -173.03 -0.52 -6.55 16 8 C 0.09 0.83 5.09 -3.94 -0.02 0.81 16 9 C -0.13 -1.25 4.92 -26.84 -0.13 -1.38 16 10 C -0.08 -0.82 1.95 -90.58 -0.18 -1.00 16 11 C 0.10 1.34 2.22 -26.68 -0.06 1.28 16 12 H 0.05 0.69 8.14 -51.93 -0.42 0.27 16 13 C -0.15 -2.39 4.47 -26.59 -0.12 -2.51 16 14 C 0.18 3.42 2.86 -67.75 -0.19 3.23 16 15 H 0.04 0.87 8.08 -51.93 -0.42 0.45 16 16 N -0.72 -17.66 5.13 -53.25 -0.27 -17.94 16 17 C -0.24 -6.49 9.93 -15.06 -0.15 -6.64 16 18 H 0.07 1.85 7.83 -52.48 -0.41 1.44 16 19 C -0.01 -0.38 5.50 -17.43 -0.10 -0.48 16 20 N -0.93 -27.74 13.06 55.49 0.72 -27.02 16 21 Si 0.91 22.07 29.55 -169.99 -5.02 17.04 16 22 H -0.28 -6.61 7.11 56.52 0.40 -6.21 16 23 H -0.29 -7.13 7.11 56.52 0.40 -6.73 16 24 H -0.29 -7.16 7.11 56.52 0.40 -6.76 16 25 C -0.17 -3.02 5.72 -26.59 -0.15 -3.17 16 26 C 0.07 0.93 6.84 37.20 0.25 1.18 16 27 O -0.38 -5.51 9.71 -35.23 -0.34 -5.86 16 28 C -0.12 -1.23 5.23 -26.61 -0.14 -1.37 16 29 C 0.11 1.07 6.43 -3.71 -0.02 1.05 16 30 H 0.08 0.52 8.14 -51.93 -0.42 0.09 16 31 H 0.08 0.44 8.14 -51.93 -0.42 0.02 16 32 H 0.08 0.55 5.48 -51.93 -0.28 0.27 16 33 H 0.07 0.61 8.14 -51.93 -0.42 0.19 16 34 H 0.08 0.43 8.14 -51.93 -0.42 0.01 16 35 H 0.08 0.63 7.99 -51.93 -0.41 0.21 16 36 H 0.10 0.81 3.61 -51.93 -0.19 0.62 16 37 H 0.08 0.66 8.14 -51.93 -0.42 0.24 16 38 H 0.09 0.87 6.42 -51.93 -0.33 0.53 16 39 H 0.07 0.63 7.98 -51.93 -0.41 0.22 16 40 H 0.08 0.91 8.14 -51.93 -0.42 0.49 16 41 H 0.07 1.11 6.54 -51.93 -0.34 0.77 16 42 H 0.07 1.13 8.14 -51.93 -0.42 0.71 16 43 H 0.38 10.01 7.80 -40.82 -0.32 9.69 16 44 H 0.25 7.34 8.31 -40.82 -0.34 7.00 16 45 H 0.06 1.21 8.14 -51.93 -0.42 0.78 16 46 H 0.07 1.28 8.14 -51.93 -0.42 0.86 16 47 H 0.08 1.06 8.14 -51.93 -0.42 0.64 16 48 H 0.04 0.57 8.14 -51.93 -0.42 0.15 16 49 H 0.09 0.90 7.64 -51.93 -0.40 0.50 16 50 H 0.06 0.67 8.14 -51.93 -0.42 0.24 16 51 H 0.07 0.65 8.14 -51.93 -0.42 0.23 16 52 H 0.09 0.99 7.00 -51.93 -0.36 0.62 16 LS Contribution 396.42 15.07 5.97 5.97 Total: -1.00 -31.55 396.42 -8.84 -40.39 By element: Atomic # 1 Polarization: 16.49 SS G_CDS: -8.94 Total: 7.55 kcal Atomic # 6 Polarization: -3.93 SS G_CDS: -0.57 Total: -4.50 kcal Atomic # 7 Polarization: -51.45 SS G_CDS: -0.06 Total: -51.51 kcal Atomic # 8 Polarization: -12.85 SS G_CDS: -0.26 Total: -13.10 kcal Atomic # 9 Polarization: -1.87 SS G_CDS: 0.03 Total: -1.84 kcal Atomic # 14 Polarization: 22.07 SS G_CDS: -5.02 Total: 17.04 kcal Total LS contribution 5.97 Total: 5.97 kcal Total: -31.55 -8.84 -40.39 kcal The number of atoms in the molecule is 52 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. ZINC001075384613.mol2 52 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 -88.934 kcal (2) G-P(sol) polarization free energy of solvation -31.547 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -120.481 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.840 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.387 kcal (6) G-S(sol) free energy of system = (1) + (5) -129.321 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.86 seconds