Wall clock time and date at job start Sat Mar 6 2021 17:21:22 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= 0 * AM1 - THE AM1 HAMILTONIAN TO BE USED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS WATER ******************************************************************************* 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 N 1.46499 * 1 3 3 C 1.35534 * 125.67874 * 2 1 4 4 C 1.35455 * 108.87037 * 180.26158 * 3 2 1 5 5 C 1.50696 * 126.06645 * 179.97438 * 4 3 2 6 6 O 1.42902 * 109.46984 * 245.04349 * 5 4 3 7 7 Si 1.86300 * 109.47243 * 5.03889 * 5 4 3 8 8 C 1.39837 * 107.86616 * 0.02562 * 4 3 2 9 9 C 1.37657 * 125.67401 * 180.30333 * 2 1 3 10 10 C 1.46672 * 126.23617 * 359.70533 * 9 2 1 11 11 O 1.21698 * 119.99723 * 5.04189 * 10 9 2 12 12 N 1.34771 * 120.00039 * 185.04476 * 10 9 2 13 13 C 1.46508 * 119.99909 * 185.07394 * 12 10 9 14 14 H 1.08998 * 109.46798 * 34.99841 * 13 12 10 15 15 C 1.53001 * 109.47104 * 154.99976 * 13 12 10 16 16 C 1.52997 * 109.47135 * 180.02562 * 15 13 12 17 17 C 1.53002 * 109.47054 * 299.99860 * 16 15 13 18 18 H 1.08996 * 109.47236 * 300.00215 * 17 16 15 19 19 N 1.46494 * 109.47032 * 180.02562 * 17 16 15 20 20 C 1.34777 * 120.00228 * 154.99914 * 19 17 16 21 21 O 1.21506 * 119.99625 * 0.02562 * 20 19 17 22 22 O 1.34637 * 120.00175 * 179.97438 * 20 19 17 23 23 C 1.45201 * 117.00032 * 180.02562 * 22 20 19 24 24 C 1.52998 * 109.47007 * 60.00344 * 23 22 20 25 25 C 1.52998 * 109.47523 * 180.02562 * 23 22 20 26 26 C 1.53002 * 109.47237 * 300.00699 * 23 22 20 27 27 C 1.53001 * 109.47035 * 60.00079 * 17 16 15 28 28 C 1.52997 * 109.47135 * 299.99872 * 27 17 16 29 29 H 1.08999 * 109.47223 * 264.14191 * 1 2 3 30 30 H 1.08997 * 109.47156 * 24.13814 * 1 2 3 31 31 H 1.08997 * 109.47142 * 144.13876 * 1 2 3 32 32 H 1.07999 * 125.56583 * 0.26566 * 3 2 1 33 33 H 1.09000 * 109.47564 * 125.04491 * 5 4 3 34 34 H 0.96694 * 114.00226 * 60.00012 * 6 5 4 35 35 H 1.48494 * 110.00214 * 179.97438 * 7 5 4 36 36 H 1.48504 * 110.00253 * 301.32356 * 7 5 4 37 37 H 1.07997 * 126.45490 * 180.02562 * 8 4 3 38 38 H 0.97002 * 120.00488 * 5.07023 * 12 10 9 39 39 H 1.09007 * 109.46710 * 299.99908 * 15 13 12 40 40 H 1.09003 * 109.47150 * 59.99555 * 15 13 12 41 41 H 1.08996 * 109.47275 * 60.00052 * 16 15 13 42 42 H 1.09003 * 109.47025 * 179.97438 * 16 15 13 43 43 H 0.97006 * 120.00390 * 334.99743 * 19 17 16 44 44 H 1.08999 * 109.47384 * 59.99748 * 24 23 22 45 45 H 1.09004 * 109.47122 * 180.02562 * 24 23 22 46 46 H 1.09009 * 109.47255 * 299.99881 * 24 23 22 47 47 H 1.09000 * 109.46681 * 59.99610 * 25 23 22 48 48 H 1.08997 * 109.47577 * 180.02562 * 25 23 22 49 49 H 1.09002 * 109.46531 * 300.00538 * 25 23 22 50 50 H 1.08999 * 109.47578 * 59.99354 * 26 23 22 51 51 H 1.08995 * 109.47620 * 179.97438 * 26 23 22 52 52 H 1.09006 * 109.46871 * 299.99836 * 26 23 22 53 53 H 1.08996 * 109.46997 * 59.99990 * 27 17 16 54 54 H 1.08996 * 109.47182 * 179.97438 * 27 17 16 55 55 H 1.09003 * 109.47480 * 300.00262 * 28 27 17 56 56 H 1.08995 * 109.47481 * 179.97438 * 28 27 17 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 7 1.4650 0.0000 0.0000 3 6 2.2555 1.1009 0.0000 4 6 3.5521 0.7093 -0.0059 5 6 4.7537 1.6188 -0.0084 6 8 5.4718 1.4558 -1.2331 7 14 4.1934 3.3883 0.1519 8 6 3.5780 -0.6889 -0.0103 9 6 2.2678 -1.1182 -0.0059 10 6 1.8123 -2.5125 -0.0072 11 8 0.6251 -2.7646 -0.0955 12 7 2.7087 -3.5142 0.0894 13 6 2.2664 -4.9064 -0.0235 14 1 1.4488 -4.9707 -0.7415 15 6 3.4325 -5.7750 -0.4993 16 6 2.9704 -7.2287 -0.6179 17 6 2.4896 -7.7240 0.7476 18 1 3.3069 -7.6599 1.4658 19 7 2.0477 -9.1161 0.6342 20 6 2.0614 -9.9178 1.7175 21 8 2.4399 -9.4858 2.7882 22 8 1.6548 -11.1971 1.6134 23 6 1.6960 -12.0022 2.8211 24 6 0.7972 -11.3706 3.8860 25 6 1.2013 -13.4159 2.5087 26 6 3.1334 -12.0686 3.3410 27 6 1.3234 -6.8553 1.2234 28 6 1.7855 -5.4016 1.3419 29 1 -0.3633 -0.1049 1.0223 30 1 -0.3633 0.9378 -0.4202 31 1 -0.3633 -0.8328 -0.6020 32 1 1.9082 2.1236 0.0041 33 1 5.4028 1.3658 0.8298 34 1 4.9546 1.6640 -2.0231 35 1 5.3691 4.2954 0.1513 36 1 3.2823 3.7361 -0.9679 37 1 4.4583 -1.3144 -0.0150 38 1 3.6467 -3.3136 0.2336 39 1 3.7748 -5.4224 -1.4724 40 1 4.2502 -5.7106 0.2186 41 1 2.1531 -7.2928 -1.3361 42 1 3.8012 -7.8475 -0.9573 43 1 1.7452 -9.4609 -0.2205 44 1 -0.2269 -11.3232 3.5156 45 1 0.8284 -11.9747 4.7927 46 1 1.1500 -10.3635 4.1085 47 1 1.8419 -13.8656 1.7502 48 1 1.2318 -14.0202 3.4154 49 1 0.1773 -13.3688 2.1381 50 1 3.4863 -11.0616 3.5635 51 1 3.1643 -12.6726 4.2478 52 1 3.7738 -12.5186 2.5823 53 1 0.5060 -6.9193 0.5052 54 1 0.9805 -7.2083 2.1959 55 1 2.6029 -5.3375 2.0601 56 1 0.9546 -4.7827 1.6804 There are 72 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 72 No. of singly occupied orbitals= 1 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=0 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=WATER s_22_12463208_10803934.mol2 56 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Mar 6 2021 17:21:22 Heat of formation + Delta-G solvation = -107.013206 kcal Electronic energy + Delta-G solvation = -35618.015572 eV Core-core repulsion = 30915.278400 eV Total energy + Delta-G solvation = -4702.737172 eV No. of doubly occupied orbitals = 72 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 380.219 amu Computer time = 1.34 seconds Orbital eigenvalues (eV) -42.55532 -41.91031 -40.79062 -39.48265 -38.01681 -37.77337 -36.12835 -35.17798 -34.22964 -33.60964 -31.89296 -31.19057 -29.22211 -28.38583 -28.31847 -28.25030 -25.73379 -24.74579 -23.99214 -23.42204 -22.29806 -21.51963 -21.14717 -20.95798 -20.33236 -19.20008 -18.80643 -17.81979 -17.77156 -17.30548 -17.19355 -16.87463 -16.71513 -16.53831 -16.03240 -15.73150 -15.58673 -15.52074 -15.45121 -15.11657 -15.04719 -14.85747 -14.53105 -14.41149 -14.13895 -14.01665 -13.72487 -13.48887 -13.36554 -13.30721 -13.25693 -13.17776 -13.13158 -12.93764 -12.88249 -12.77776 -12.64699 -12.43118 -12.37050 -12.29241 -12.19071 -11.78185 -11.56492 -11.54928 -11.40003 -11.18986 -11.08529 -10.44104 -10.26803 -10.13822 -9.70331 -9.26765 -4.84731 0.40974 1.14314 1.40089 1.55939 1.59480 1.67922 1.74647 2.04458 2.29271 2.31408 3.11797 3.55491 3.57642 3.59419 3.72320 3.72817 3.77948 3.84001 3.92817 3.92835 4.02549 4.06765 4.11078 4.23826 4.29210 4.33507 4.36041 4.40060 4.41121 4.51407 4.59333 4.60375 4.68034 4.72067 4.72919 4.74571 4.74627 4.80692 4.82822 4.85902 4.92718 5.03671 5.07142 5.08574 5.09183 5.17789 5.21325 5.24554 5.25269 5.29745 5.40750 5.44546 5.58819 5.68188 5.89268 6.16403 6.39376 6.47352 6.62277 7.12538 7.33793 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.064 3.936 2 N -0.413 5.413 3 C 0.033 3.967 4 C -0.216 4.216 5 C -0.045 4.045 6 O -0.552 6.552 7 Si 0.765 3.235 8 C -0.110 4.110 9 C -0.079 4.079 10 C 0.587 3.413 11 O -0.582 6.582 12 N -0.704 5.704 13 C 0.151 3.849 14 H 0.077 0.923 15 C -0.115 4.115 16 C -0.115 4.115 17 C 0.165 3.835 18 H 0.081 0.919 19 N -0.697 5.697 20 C 0.643 3.357 21 O -0.593 6.593 22 O -0.370 6.370 23 C 0.127 3.873 24 C -0.180 4.180 25 C -0.138 4.138 26 C -0.179 4.179 27 C -0.121 4.121 28 C -0.118 4.118 29 H 0.081 0.919 30 H 0.113 0.887 31 H 0.082 0.918 32 H 0.198 0.802 33 H 0.119 0.881 34 H 0.383 0.617 35 H -0.308 1.308 36 H -0.279 1.279 37 H 0.158 0.842 38 H 0.415 0.585 39 H 0.092 0.908 40 H 0.086 0.914 41 H 0.085 0.915 42 H 0.092 0.908 43 H 0.417 0.583 44 H 0.060 0.940 45 H 0.086 0.914 46 H 0.063 0.937 47 H 0.070 0.930 48 H 0.098 0.902 49 H 0.068 0.932 50 H 0.064 0.936 51 H 0.086 0.914 52 H 0.062 0.938 53 H 0.070 0.930 54 H 0.050 0.950 55 H 0.071 0.929 56 H 0.050 0.950 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -0.046 -0.151 -1.190 1.201 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 -0.076 4.076 2 N -0.085 5.085 3 C -0.104 4.104 4 C -0.222 4.222 5 C -0.154 4.154 6 O -0.360 6.360 7 Si 0.670 3.330 8 C -0.136 4.136 9 C -0.192 4.192 10 C 0.376 3.624 11 O -0.464 6.464 12 N -0.354 5.354 13 C 0.047 3.953 14 H 0.095 0.905 15 C -0.154 4.154 16 C -0.154 4.154 17 C 0.062 3.938 18 H 0.099 0.901 19 N -0.357 5.357 20 C 0.397 3.603 21 O -0.483 6.483 22 O -0.285 6.285 23 C 0.091 3.909 24 C -0.237 4.237 25 C -0.195 4.195 26 C -0.237 4.237 27 C -0.161 4.161 28 C -0.157 4.157 29 H 0.100 0.900 30 H 0.131 0.869 31 H 0.101 0.899 32 H 0.214 0.786 33 H 0.137 0.863 34 H 0.232 0.768 35 H -0.236 1.236 36 H -0.205 1.205 37 H 0.176 0.824 38 H 0.252 0.748 39 H 0.111 0.889 40 H 0.104 0.896 41 H 0.103 0.897 42 H 0.111 0.889 43 H 0.253 0.747 44 H 0.079 0.921 45 H 0.105 0.895 46 H 0.082 0.918 47 H 0.089 0.911 48 H 0.117 0.883 49 H 0.087 0.913 50 H 0.083 0.917 51 H 0.105 0.895 52 H 0.081 0.919 53 H 0.089 0.911 54 H 0.069 0.931 55 H 0.090 0.910 56 H 0.069 0.931 Dipole moment (debyes) X Y Z Total from point charges -0.669 0.336 -0.659 0.997 hybrid contribution 0.186 -0.356 -1.131 1.200 sum -0.483 -0.020 -1.790 1.854 Atomic orbital electron populations 1.22381 0.74938 1.05714 1.04579 1.44025 1.07588 1.04859 1.51994 1.22328 0.89935 0.92462 1.05634 1.19823 0.94055 0.94752 1.13616 1.24482 0.93559 1.08434 0.88959 1.86556 1.42748 1.90258 1.16403 0.94315 0.79037 0.71852 0.87748 1.21435 0.94299 0.95144 1.02767 1.20115 0.90964 0.87618 1.20504 1.17180 0.85352 0.84255 0.75565 1.90786 1.17531 1.85377 1.52673 1.45623 1.11523 1.05280 1.73016 1.21034 0.98138 0.79314 0.96815 0.90532 1.21723 0.96845 0.93169 1.03634 1.21721 1.02956 0.95924 0.94750 1.21047 0.96310 0.77139 0.99343 0.90078 1.44823 1.69201 1.11061 1.10578 1.18374 0.76718 0.80740 0.84494 1.90903 1.53291 1.76224 1.27913 1.86311 1.79729 1.21478 1.40982 1.22339 0.96716 0.90415 0.81420 1.22473 0.99256 1.02780 0.99220 1.21890 1.02228 0.91338 1.04022 1.22468 0.94940 1.03782 1.02461 1.21817 0.98466 0.94302 1.01471 1.21770 1.01207 0.95084 0.97662 0.89995 0.86876 0.89937 0.78569 0.86282 0.76763 1.23635 1.20529 0.82395 0.74773 0.88919 0.89588 0.89685 0.88917 0.74659 0.92113 0.89487 0.91817 0.91094 0.88340 0.91286 0.91740 0.89532 0.91853 0.91108 0.93126 0.91010 0.93108 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 0.06 -0.08 10.48 127.77 1.34 1.26 16 2 N -0.41 -0.69 3.16 -534.32 -1.69 -2.38 16 3 C 0.03 -0.06 9.92 83.48 0.83 0.77 16 4 C -0.22 0.09 5.43 -20.12 -0.11 -0.02 16 5 C -0.04 0.06 3.02 71.23 0.22 0.28 16 6 O -0.55 -1.15 12.88 -148.98 -1.92 -3.07 16 7 Si 0.76 -2.49 30.60 68.60 2.10 -0.39 16 8 C -0.11 -0.08 10.28 22.57 0.23 0.15 16 9 C -0.08 -0.29 6.89 40.35 0.28 -0.01 16 10 C 0.59 3.18 7.73 86.45 0.67 3.85 16 11 O -0.58 -6.85 14.44 -4.34 -0.06 -6.91 16 12 N -0.70 0.63 5.05 -446.49 -2.26 -1.62 16 13 C 0.15 -0.24 2.41 44.99 0.11 -0.14 16 14 H 0.08 0.15 7.65 -2.39 -0.02 0.13 16 15 C -0.12 0.82 5.39 30.59 0.16 0.98 16 16 C -0.12 0.80 5.39 30.59 0.16 0.96 16 17 C 0.16 -0.22 2.45 44.99 0.11 -0.11 16 18 H 0.08 0.16 7.58 -2.39 -0.02 0.14 16 19 N -0.70 -0.20 5.08 -570.14 -2.90 -3.09 16 20 C 0.64 4.39 8.02 129.79 1.04 5.43 16 21 O -0.59 -7.16 11.54 19.82 0.23 -6.93 16 22 O -0.37 -2.15 9.94 -55.46 -0.55 -2.70 16 23 C 0.13 0.43 1.13 -10.79 -0.01 0.41 16 24 C -0.18 -0.71 8.37 71.98 0.60 -0.11 16 25 C -0.14 0.23 8.85 71.98 0.64 0.87 16 26 C -0.18 -0.60 8.37 71.98 0.60 0.00 16 27 C -0.12 -0.15 5.50 30.59 0.17 0.01 16 28 C -0.12 -0.13 5.50 30.59 0.17 0.04 16 29 H 0.08 -0.15 8.14 -2.39 -0.02 -0.17 16 30 H 0.11 -0.82 8.12 -2.39 -0.02 -0.84 16 31 H 0.08 0.26 6.55 -2.39 -0.02 0.25 16 32 H 0.20 -1.52 6.21 -2.91 -0.02 -1.54 16 33 H 0.12 -0.30 7.96 -2.39 -0.02 -0.32 16 34 H 0.38 -1.21 8.70 -74.06 -0.64 -1.85 16 35 H -0.31 -1.62 7.11 99.48 0.71 -0.91 16 36 H -0.28 0.06 7.11 99.48 0.71 0.77 16 37 H 0.16 -0.48 7.49 -2.91 -0.02 -0.50 16 38 H 0.42 -2.39 7.55 -92.71 -0.70 -3.09 16 39 H 0.09 -0.80 8.14 -2.38 -0.02 -0.82 16 40 H 0.09 -0.72 8.14 -2.39 -0.02 -0.74 16 41 H 0.08 -0.69 8.14 -2.39 -0.02 -0.71 16 42 H 0.09 -0.79 8.14 -2.39 -0.02 -0.81 16 43 H 0.42 -1.80 8.71 -92.70 -0.81 -2.61 16 44 H 0.06 0.21 8.14 -2.39 -0.02 0.19 16 45 H 0.09 0.04 8.14 -2.39 -0.02 0.02 16 46 H 0.06 0.59 5.88 -2.38 -0.01 0.58 16 47 H 0.07 -0.15 8.14 -2.39 -0.02 -0.17 16 48 H 0.10 -0.49 8.14 -2.39 -0.02 -0.51 16 49 H 0.07 -0.12 8.14 -2.39 -0.02 -0.14 16 50 H 0.06 0.55 5.88 -2.39 -0.01 0.54 16 51 H 0.09 0.00 8.14 -2.39 -0.02 -0.02 16 52 H 0.06 0.16 8.14 -2.38 -0.02 0.14 16 53 H 0.07 0.06 8.14 -2.39 -0.02 0.04 16 54 H 0.05 0.32 8.14 -2.39 -0.02 0.30 16 55 H 0.07 0.04 8.14 -2.39 -0.02 0.02 16 56 H 0.05 0.32 8.09 -2.39 -0.02 0.30 16 Total: 0.00 -23.75 440.56 -1.05 -24.79 By element: Atomic # 1 Polarization: -11.13 SS G_CDS: -1.21 Total: -12.33 kcal Atomic # 6 Polarization: 7.43 SS G_CDS: 7.21 Total: 14.64 kcal Atomic # 7 Polarization: -0.25 SS G_CDS: -6.84 Total: -7.09 kcal Atomic # 8 Polarization: -17.31 SS G_CDS: -2.30 Total: -19.61 kcal Atomic # 14 Polarization: -2.49 SS G_CDS: 2.10 Total: -0.39 kcal Total: -23.75 -1.05 -24.79 kcal The number of atoms in the molecule is 56 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. s_22_12463208_10803934.mol2 56 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 -82.220 kcal (2) G-P(sol) polarization free energy of solvation -23.747 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -105.967 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -1.046 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -24.793 kcal (6) G-S(sol) free energy of system = (1) + (5) -107.013 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.34 seconds