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J. Comput. Chem
, vol.27
, pp. 1324
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Altun, A.1
Shaik, S.2
Thiel, W.3
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97
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One of the referees suggested performing calculations with the largest QM model (without MM atoms) and ONIOM calculations with approximately 70 QM and 50 MM atoms to check the reliability of the ONIOM method. However, interactions between the QM and MM parts are described by the classical mechanics in the latter case. In addition, by using such a small and flexible system, the results should be less realistic than the real protein system.
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One of the referees suggested performing calculations with the largest QM model (without MM atoms) and ONIOM calculations with approximately 70 QM and 50 MM atoms to check the reliability of the ONIOM method. However, interactions between the QM and MM parts are described by the classical mechanics in the latter case. In addition, by using such a small and flexible system, the results should be less realistic than the real protein system.
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98
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1242317113
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Ouyang, L.; Rulis, P.; Ching, W. Y.; Nardin, G.; Randaccio, L. Inorg. Chem. 2004, 43, 1235.
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(2004)
Inorg. Chem
, vol.43
, pp. 1235
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Ouyang, L.1
Rulis, P.2
Ching, W.Y.3
Nardin, G.4
Randaccio, L.5
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99
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84869574420
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The diradical character of the coenzyme starts to appear at the Co-C bond length of ∼2.7 Å and increases with the Co-C bond distance in the gas phase.
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(a) The diradical character of the coenzyme starts to appear at the Co-C bond length of ∼2.7 Å and increases with the Co-C bond distance in the gas phase.
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100
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84869575267
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Spin density analysis verifies that the Co-C bond cleavage is homolytic and the diradical character of the coenzyme begins at the Co-C bond length of ∼2.6 Å, slightly shorter than the gas phase Figure S1, Also, more diradical character is found in the protein, indicating that homolytic cleavage is promoted by the protein
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(b) Spin density analysis verifies that the Co-C bond cleavage is homolytic and the diradical character of the coenzyme begins at the Co-C bond length of ∼2.6 Å, slightly shorter than the gas phase (Figure S1). Also, more diradical character is found in the protein, indicating that homolytic cleavage is promoted by the protein.
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101
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67849124497
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I1 is a metastable CoIII state, which was located previously together with TSI1-I2 (ref 11). I1 is higher in energy than I2 by 1.1 kcal/mol. There is a large geometrical change between R and I1. The conversion process between R and I1 was unclear in the previous study. Such isomerization has been investigated and discussed in the Supporting Information.
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I1 is a metastable CoIII state, which was located previously together with TSI1-I2 (ref 11). I1 is higher in energy than I2 by 1.1 kcal/mol. There is a large geometrical change between R and I1. The conversion process between R and I1 was unclear in the previous study. Such isomerization has been investigated and discussed in the Supporting Information.
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102
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84869555894
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III states. Relative contribution from the MM part of the coenzyme is also shown in Table S2 of the Supporting Information.
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III states. Relative contribution from the MM part of the coenzyme is also shown in Table S2 of the Supporting Information.
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103
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67849092614
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To further evaluate the strain energy of various fragments in the QM part of the coenzyme, we took the QM part of the coenzyme from the ONIOM calculations and then reoptimized the interested fragment (e.g., ribose) in the gas phase by freezing the rest of the coenzyme at the ONIOM-optimized geometry (ref 10d). The details and calculated strain energies of the QM coenzyme are tabulated in Table S3 and Scheme S1.
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(a) To further evaluate the strain energy of various fragments in the QM part of the coenzyme, we took the QM part of the coenzyme from the ONIOM calculations and then reoptimized the interested fragment (e.g., ribose) in the gas phase by freezing the rest of the coenzyme at the ONIOM-optimized geometry (ref 10d). The details and calculated strain energies of the QM coenzyme are tabulated in Table S3 and Scheme S1.
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104
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The QM contribution is found to be nearly equal to the strain energy difference between the CoIII and CoII states induced by the protein
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(b) The QM contribution is found to be nearly equal to the strain energy difference between the CoIII and CoII states induced by the protein.
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105
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0037438391
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(a) Khoroshun, D. V.; Warncke, K.; Ke, S.-C.; Musaev, D. G.; Morokuma, K. J. Am. Chem. Soc. 2003, 125, 570.
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(2003)
J. Am. Chem. Soc
, vol.125
, pp. 570
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Khoroshun, D.V.1
Warncke, K.2
Ke, S.-C.3
Musaev, D.G.4
Morokuma, K.5
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108
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0035809271
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(d) Jensen, K. P.; Sauer, S. P. A.; Liljefors, T.; Norrby, P.-O. Organometallics 2001, 20, 550.
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(2001)
Organometallics
, vol.20
, pp. 550
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Jensen, K.P.1
Sauer, S.P.A.2
Liljefors, T.3
Norrby, P.-O.4
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109
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0035903592
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Gruber, K.; Reitzer, R.; Kratky, C. Angew. Chem., Int. Ed. 2001, 40, 3377.
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(2001)
Angew. Chem., Int. Ed
, vol.40
, pp. 3377
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Gruber, K.1
Reitzer, R.2
Kratky, C.3
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110
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84869564786
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Similarly, the Nε atom of Arg66 could have some electrostatic attraction with the O1′of the ribose (NArg66 · · ·O1′: 3.37-3.41 Å) in GluMut, when the Co-C bond is completely broken (ref 34).
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Similarly, the Nε atom of Arg66 could have some electrostatic attraction with the O1′of the ribose (NArg66 · · ·O1′: 3.37-3.41 Å) in GluMut, when the Co-C bond is completely broken (ref 34).
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111
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84869575264
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MM, are very similar to those starting from 12, after the Co-C bond is considerably elongated (Figure S11).
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MM, are very similar to those starting from 12, after the Co-C bond is considerably elongated (Figure S11).
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112
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84869574419
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II states induced by the protein.
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II states induced by the protein.
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113
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67849090707
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Glu370 forms two strong intermolecular hydrogen bonds with the ribose in I2, while it forms one intermolecular hydrogen bond in Rand I1. Also CoIII states R′and I1′with two intermolecular hydrogen bonds are calculated to be comparable in energy. R′is only higher than R by 0.5 kcal/mol. I′is a little lower than I1 by 0.1 kcal/mol (Figures S9).
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Glu370 forms two strong intermolecular hydrogen bonds with the ribose in I2, while it forms one intermolecular hydrogen bond in Rand I1. Also CoIII states R′and I1′with two intermolecular hydrogen bonds are calculated to be comparable in energy. R′is only higher than R by 0.5 kcal/mol. I′is a little lower than I1 by 0.1 kcal/mol (Figures S9).
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114
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67849087010
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These important interactions in the closed and reactive form of MMCM may partly explain the very small protein effect in the unreactive form in our previous calculations ref 11, as Glu370 and Gln330 cannot form hydrogen bonds with the ribose in the unreactive form. It should be noted that only one carboxylic oxygen of Glu247 was found to interact with the ribose. Therefore, stabilization on the dissociated state by the protein in the unreactive form should be less than the reactive form
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These important interactions in the closed and reactive form of MMCM may partly explain the very small protein effect in the unreactive form in our previous calculations (ref 11), as Glu370 and Gln330 cannot form hydrogen bonds with the ribose in the unreactive form. It should be noted that only one carboxylic oxygen of Glu247 was found to interact with the ribose. Therefore, stabilization on the dissociated state by the protein in the unreactive form should be less than the reactive form.
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115
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84869574418
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Two other concerted transition states (TS′IC-IIIC and TS″IC-IIIC) with a different conformation of the ribose and different position of the substrate were also located. They are slightly higher in energy than TSIC-IIIC (Figure S13). In the gas phase, a very small imaginary frequency of 7i and 5i cm-1 was found in the Sub·/Arg and IIIC, respectively.
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Two other concerted transition states (TS′IC-IIIC and TS″IC-IIIC) with a different conformation of the ribose and different position of the substrate were also located. They are slightly higher in energy than TSIC-IIIC (Figure S13). In the gas phase, a very small imaginary frequency of 7i and 5i cm-1 was found in the Sub·/Arg and IIIC, respectively.
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116
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67849088879
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The electrostatic interaction is estimated from the energy of the whole QM system subtracting the total energy for completely separating the QM part of the corrin ring and the imidazole from the rest of the QM parts. The electrostatic interaction with the corrin ring and the imidazole is roughly-15.4 kcal/mol for TSIC-IIIC and-6.2 kcal/mol for TSI2-I3. It should be noted that the above-mentioned electrostatic interactions are overestimated, particularly for TSIC-IIIC, as the isolated fragments are not relaxed
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The electrostatic interaction is estimated from the energy of the whole QM system subtracting the total energy for completely separating the QM part of the corrin ring and the imidazole from the rest of the QM parts. The electrostatic interaction with the corrin ring and the imidazole is roughly-15.4 kcal/mol for TSIC-IIIC and-6.2 kcal/mol for TSI2-I3. It should be noted that the above-mentioned electrostatic interactions are overestimated, particularly for TSIC-IIIC, as the isolated fragments are not relaxed.
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122
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67849111739
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It should be mentioned that the quantum tunneling effect on the hydrogen transfer step was not considered herein refs 1, 2, 6, and 10a
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It should be mentioned that the quantum tunneling effect on the hydrogen transfer step was not considered herein (refs 1, 2, 6, and 10a).
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123
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84869574417
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In terms of Ä EQM, the reaction barrier and energy for the hydrogen transfer relative to I2 in the protein are similar to those relative to the isolated intermediates II to III in the gas phase.
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In terms of Ä EQM, the reaction barrier and energy for the hydrogen transfer relative to I2 in the protein are similar to those relative to the isolated intermediates II to III in the gas phase.
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124
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84869574414
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For GluMut, the calculated Co · · · C5′distance in the concerted transition state is ∼3.23 Å in the gas phase (ref 10b), which is similar to that for the bond dissociated state for conformation B in the crystal structure (3.17 Å) and in the QM/MM study 3.48 Å (refs 10d and 34).
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For GluMut, the calculated Co · · · C5′distance in the concerted transition state is ∼3.23 Å in the gas phase (ref 10b), which is similar to that for the bond dissociated state for conformation B in the crystal structure (3.17 Å) and in the QM/MM study 3.48 Å (refs 10d and 34).
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125
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36449002507
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According to G2(MP2) calculations, the hydrogen transfer reaction from the substrate (Sub) to the Ado radical (Ado·) is slightly exothermic by 3.3 kcal/mol (without ZPC) Curtiss, L. A.; Raghavachari, K.; Pople, J. A. J. Chem. Phys. 1993, 98, 1293.
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According to G2(MP2) calculations, the hydrogen transfer reaction from the substrate (Sub) to the Ado radical (Ado·) is slightly exothermic by 3.3 kcal/mol (without ZPC) Curtiss, L. A.; Raghavachari, K.; Pople, J. A. J. Chem. Phys. 1993, 98, 1293.
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127
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84869574415
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As shown in Figure S13, the concerted transition state TS″IC-IIIC with the shortest Co · · ·C bond (3.57 Å) was calculated to be the least favorable concerted transition state. Therefore, in addition to the stabilization by the presence of the cob(II)alamin, the energetics of the transition state was shown to be also influenced by other factors (such as hydrogen bonding and conformation of the ribose).
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As shown in Figure S13, the concerted transition state TS″IC-IIIC with the shortest Co · · ·C bond (3.57 Å) was calculated to be the least favorable concerted transition state. Therefore, in addition to the stabilization by the presence of the cob(II)alamin, the energetics of the transition state was shown to be also influenced by other factors (such as hydrogen bonding and conformation of the ribose).
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