Michael B. Hall

Basis sets for transition metals: Optimized outer p functions.

Although the (n + 1)p orbital is unoccupied in transition‐metal ground‐state configurations which are all ndx(n + 1)sy, these (n + 1)p functions play a crucial role in the structure of transition metal complexes. As we show here, the usual solution, adding one or more diffuse functions, can be insufficient to create an orbital of the correct energy. The major problem appears to be due to the incorrect placement of the (n + 1)p orbitals node. Even splitting the most diffuse component of the np orbital and adding a second diffuse function does not completely solve this problem. Although one can usually solve this deficiency by further uncontracting of the np function, here we offer a set of properly optimized (n + 1)p functions that offer a more compact and satisfactory solution to the proper placements of the node. We show an example of the common deficiencies seen in typical basis sets, including standard basis sets in GAUSSIAN94, and show that the new optimized (n + 1)p function performs well compared to a fully uncontracted basis set.

Monomeric and Oligomeric Amine-Borane σ-Complexes of Rhodium. Intermediates in the Catalytic Dehydrogenation of Amine-Boranes

A combined experimental/quantum chemical investigation of the transition metal-mediated dehydrocoupling reaction of H(3)B.NMe(2)H to ultimately give the cyclic dimer [H(2)BNMe(2)](2) is reported. Intermediates and model complexes have been isolated, including examples of amine-borane sigma-complexes of Rh(I) and Rh(III). These come from addition of a suitable amine-borane to the crystallographically characterized precursor [Rh(eta(6)-1,2-F(2)C(6)H(4))(P(i)Bu(3))(2)][BAr(F)(4)] [Ar(F) = 3,5-(CF(3))(2)C(6)H(3)]. The complexes [Rh(eta(2)-H(3)B.NMe(3))(P(i)Bu(3))(2)][BAr(F)(4)] and [Rh(H)(2)(eta(2)-H(3)B.NHMe(2))(P(i)Bu(3))(2)][BAr(F)(4)] have also been crystallographically characterized. Other intermediates that stem from either H(2) loss or gain have been characterized in solution by NMR spectroscopy and ESI-MS. These complexes are competent in the catalytic dehydrocoupling (5 mol %) of H(3)B.NMe(2)H. During catalysis the linear dimer amine-borane H(3)B.NMe(2)BH(2).NHMe(2) is observed which follows a characteristic intermediate time/concentration profile. The corresponding amine-borane sigma-complex, [Rh(P(i)Bu(3))(2)(eta(2)-H(3)B.NMe(2)BH(2).NHMe(2))][BAr(F)(4)], has been isolated and crystallographically characterized. A Rh(I) complex of the final product, [Rh(P(i)Bu(3))(2){eta(2)-(H(2)BNMe(2))(2)}][BAr(F)(4)], is also reported, although this complex lies outside the proposed catalytic cycle. DFT calculations show that the first proposed dehydrogenation step, to give H(2)B horizontal lineNMe(2), proceeds via two possible routes of essentially the same energy barrier: BH or NH activation followed by NH or BH activation, respectively. Subsequent to this, two possible low energy routes that invoke either H(2)/H(2)B horizontal lineNMe(2) loss or H(2)B horizontal lineNMe(2)/H(2) loss are suggested. For the second dehydrogenation step, which ultimately affords [H(2)BNMe(2)](2), a number of experimental observations suggest that a simple intramolecular route is not operating: (i) the isolated complex [Rh(P(i)Bu(3))(2)(eta(2)-H(3)B.NMe(2)BH(2).NHMe(2))][BAr(F)(4)] is stable in the absence of amine-boranes; (ii) addition of H(3)B.NMe(2)BH(2).NHMe(2) to [Rh(P(i)Bu(3))(2)(eta(2)-H(3)B.NMe(2)BH(2).NHMe(2))][BAr(F)(4)] initiates dehydrocoupling; and (iii) H(2)B horizontal lineNMe(2) is also observed during this process.

Fundamental properties of small molecule models of Fe-only hydrogenase: computations relative to the definition of an entatic state in the active site

Abstract Well-studied organometallic complexes (μ-SRS)Fe 2 (CO) 6 that serve as structural models of the active site of Fe-only hydrogenases have been employed in DFT computational studies with the goal of understanding the fundamental nature of the active site of this biological catalyst. Intramolecular CO site exchange processes, experimentally observable in variable temperature (VT) NMR studies were modeled. The transition state structure of the Fe(CO) 3 unit rotation looks very similar to the structure that the active site has adopted in the protein environment. That is, a semi-bridging CO is formed upon Fe(CO) 3 rotation partially disrupting the FeFe bonding interaction and leaving an open site trans to this semi-bridging CO. The CN − /CO substitution reaction of these complexes which yields the disubstituted derivatives, (μ-SRS)[Fe(CO) 2 (CN)] 2 2− , was also examined as experimental results found a complicated, R-dependent, reactivity pattern for the second CN − addition. The connection of the above rotation process to the CN − /CO substitution was supported by the fact that an intermediate with a μ-CO group, like that resulting from the Fe(CO) 3 unit rotation, is formed upon CN − attack. The assumption that the Fe(CO) 3 rotational barrier is an important contributor to the overall activation energy of CN − attack, explains the experimental observation that generally the second CN − addition finds a lower Fe(CO) 3 rotational barrier due to the presence of the already coordinated CN − ligand.

Tetrarhena-heterocycle from the Palladium-Catalyzed Dimerization of Re2(CO)8(μ-SbPh2)(μ-H) Exhibits an Unusual Host–Guest Behavior

The six-membered heavy atom heterocycles [Re(2)(CO)(8)(μ-SbPh(2))(μ-H)](2), 5, and Pd[Re(2)(CO)(8)(μ-SbPh(2))(μ-H)](2), 7, have been prepared by the palladium-catalyzed ring-opening cyclo-dimerization of the three-membered heterocycle Re(2)(CO)(8)(μ-SbPh(2))(μ-H), 3. The palladium atom that lies in the center of the heterocycle 7 was removed to yield 5. The palladium removal was found to be partially reversible leading to an unusual example of host-guest behavior. A related dipalladium complex Pd(2)Re(4)(CO)(16)(μ(4)-SbPh)(μ(3)-SbPh(2))(μ-Ph)(μ-H)(2), 6, was also formed in these reactions of palladium with 3.

Monoiron Hydrogenase Catalysis: Hydrogen Activation with the Formation of a Dihydrogen, Fe-Hδ-···Hδ+-O, Bond and Methenyl-H4MPT+ Triggered Hydride Transfer

A fully optimized resting state model with a strong Fe-H(delta-)...H(delta+)-O dihydrogen bond for the active site of the third type of hydrogenase, [Fe]-hydrogenase, is proposed from density functional theory (DFT) calculations on the reformulated active site from the recent X-ray crystal structure study of C176A (Cys176 was mutated to an alanine) mutated [Fe]-hydrogenase in the presence of dithiothreitol. The computed vibrational frequencies for this new active site model possess an average error of only +/-4.5 cm(-1) with respect to the wild-type [Fe]-hydrogenase. Based on this resting state model, a new mechanism with the following unusual aspects for hydrogen activation catalyzed by [Fe]-hydrogenase is also proposed from DFT calculations. (1) Unexpected dual pathways for H(2) cleavage with proton transfer to Cys176-sulfur or 2-pyridinols oxygen for the formation and regeneration of the resting state with an Fe-H(delta-)...H(delta+)-O dihydrogen bond before the appearance of methenyl-H(4)MPT(+) (MPT(+)). (2) The strong dihydrogen bond in this resting state structure prevents D(2)/H(2)O exchange. (3) Only upon the arrival of MPT(+) with its strong hydride affinity can D(2)/H(2)O exchange take place as the arrival of MPT(+) triggers the breaking of the strong Fe-H(delta-)...H(delta+)-O dihydrogen bond by taking a hydride from the iron center and initiating the next H(2) (D(2)) cleavage. This new mechanism is completely different than that previously proposed (J. Am. Chem. Soc. 2008, 130, 14036) which was based on an active site model related to an earlier crystal structure. Here, Fes role is H(2) capture and hydride formation without MPT(+) while the pyridones special role involves the protection of the hydride by the dihydrogen bond.

The catalytic dehydrogenation of ammonia-borane involving an unexpected hydrogen transfer to ligated carbene and subsequent carbon-hydrogen activation.

Density functional Tao−Perdew−Staroverov−Scuseria calculations with all-electron correlation-consistent polarized valence double-ζ basis set demonstrate that N-heterocyclic carbene (NHC) nickel complexes catalyze the dehydrogenation of ammonia-borane, a candidate for chemical hydrogen storage, through proton transfer from nitrogen to the metal-bound carbene carbon, instead of the B−H or N−H bond activation. This new C−H bond is then activated by the metal, transferring the H to the metal, then forming the H2 by transferring a H from B to the metal, instead the β-H transfer. This reaction pathway explains the importance of the NHC ligands in the dehydrogenation and points the way to finding new catalyst with higher efficiency, as partial unsaturation of the M-L bond may be essential for rapid H transfers.

Series of mixed valent Fe(II)Fe(I) complexes that model the Hox state of [FeFe]hydrogenase: redox properties, density-functional theory investigation, and reactivities with extrinsic CO.

A series of asymmetrically disubstituted models of the active site of [FeFe]-hydrogenase, (mu-pdt)[Fe(CO) 2PMe 3][Fe(CO) 2NHC] (pdt = 1,3-propanedithiolate, NHC = IMes, 1,3-bis(2,4,6-trimethylphenyl)imidazol-2-ylidene IMes ( 1), IMesMe, 1-methyl,3-(2,4,6-trimethylphenyl)imidazol-2-ylidene ( 2) or IMe, 1,3-bis(methyl)imidazol-2-ylidene ( 3)), have been synthesized and characterized. The one-electron oxidation of these complexes to generate mixed valent models of the H ox state of [FeFe]-hydrogenase, such as the previously reported (mu-pdt)(mu-CO)[Fe(CO) 2PMe 3][Fe(CO)IMes] (+) ( 1 ox ) (Liu, T.; Darensbourg, M. Y. J. Am. Chem. Soc. 2007, 129, 7008-7009) has been examined to explore the steric and electronic effects of different N-atom substituents on the stability and structure of the mixed valent cations. The differences in spectroscopic properties, structures, and relative stabilities of 1 ox , (mu-pdt)[Fe(CO) 2PMe 3][Fe(CO) 2IMesMe] (+) ( 2 ox ), and (mu-pdt)[Fe(CO) 2PMe 3]-[Fe(CO) 2IMe] (+) ( 3 ox ) are discussed in the context of both experimental and theoretical data. Of the three derivatives, only that with greatest steric bulk on the NHC ligand, 1 ox , shows a clear indication of a mu-CO by solution nu(CO) IR and yields to crystallization as a rotated form, commensurate with the two-Fe subsite of H ox. In addition, the reactivity of the complexes with extrinsic CO to form CO adducts and/or exchange with (13)CO is explored by experiment and by using density-functional theory calculations.

Structural and Spectroscopic Features of Mixed Valent FeIIFeI Complexes and Factors Related to the Rotated Configuration of Diiron Hydrogenase

The compounds of this study have yielded to complementary structural, spectroscopic (Mössbauer, EPR/ENDOR, IR), and computational probes that illustrate the fine control of electronic and steric features that are involved in the two structural forms of (μ-SRS)[Fe(CO)2PMe3]2(0,+) complexes. The installation of bridgehead bulk in the -SCH2CR2CH2S- dithiolate (R = Me, Et) model complexes produces 6-membered FeS2C3 cyclohexane-type rings that produce substantial distortions in Fe(I)Fe(I) precursors. Both the innocent (Fc(+)) and the noninnocent or incipient (NO(+)/CO exchange) oxidations result in complexes with inequivalent iron centers in contrast to the Fe(I)Fe(I) derivatives. In the Fe(II)Fe(I) complexes of S = 1/2, there is complete inversion of one square pyramid relative to the other with strong super hyperfine coupling to one PMe3 and weak SHFC to the other. Remarkably, diamagnetic complexes deriving from isoelectronic replacement of CO by NO(+), {(μ-SRS)[Fe(CO)2PMe3] [Fe(CO)(NO)PMe3](+)}, are also rotated and exist in only one isomeric form with the -SCH2CR2CH2S- dithiolates, in contrast to R = H ( Olsen , M. T. ; Bruschi , M. ; De Gioia , L. ; Rauchfuss , T. B. ; Wilson , S. R. J. Am. Chem. Soc. 2008 , 130 , 12021 -12030 ). The results and redox levels determined from the extensive spectroscopic analyses have been corroborated by gas-phase DFT calculations, with the primary spin density either localized on the rotated iron in the case of the S = 1/2 compound, or delocalized over the {Fe(NO)} unit in the S = 0 complex. In the latter case, the nitrosyl has effectively shifted electron density from the Fe(I)Fe(I) bond, repositioning it onto the spin coupled Fe-N-O unit such that steric repulsion is sufficient to induce the rotated structure in the Fe(II)-{Fe(I)((•)NO)}(8) derivatives.

Origins of the selectivity for borylation of primary over secondary C-H bonds catalyzed by Cp*-rhodium complexes.

Detailed experimental and computational studies of the high selectivity for functionalization of primary over secondary sp(3) C-H bonds in alkanes by borane reagents catalyzed by Cp*Rh complexes are reported. Prior studies have shown that Cp*Rh(X)(Bpin) (X = H or Bpin), generated from Cp*Rh(H)(2)(Bpin)(2) and Cp*Rh(H)(2)(Bpin)(3), are likely intermediates in these catalytic reactions. To allow analysis of the system by H/D exchange, the current studies focused on reactions of Cp*Rh(D)(2)(Bpin)(2) through the 16-electron species Cp*Rh(D)(Bpin). Density functional theory (DFT) calculations of the reaction between Cp*Rh(H)(BO(2)C(2)H(4)) and the primary and secondary C-H bonds of propane indicate that the lowest energy pathway for C-H bond cleavage occurs to form an isomer in which the alkyl and boryl groups are trans to each other, while the lowest energy pathway for functionalization of the primary C-H bond occurs by formation of the isomer in which these two groups are cis to each other. The barrier for formation of the rhodium complex by cleavage of secondary C-H bonds is higher than that by cleavage of primary C-H bond. The alkyl intermediates are formed reversibly, and steric effects cause the barrier for B-C bond formation from the secondary alkyl intermediate to be higher than that from the primary alkyl intermediate. Experimental studies are consistent with this computational analysis. H/D exchange occurs between (Cp*d(15))Rh(D)(2)(Bpin)(2) and n-octane, indicating that C-H bond cleavage occurs reversibly and occurs faster at primary over secondary C-H bonds. The observation of small amounts of H/D exchange into the secondary C-H bonds of linear alkanes and the clear observation of H/D exchange into the secondary positions of cyclic alkanes without formation of products from functionalization are consistent with the high barrier calculated for B-C bond formation from the secondary alkyl intermediate. A series of kinetic experiments are consistent with a mechanism for H/D exchange between (Cp*d(15))Rh(D)(2)(Bpin)(2) and n-octane occurring by dissociation of borane-d(1) to form (Cp*d(15))Rh(D)(Bpin). Thus, the origin of the selectivity for borylation of primary over secondary C-H bonds is due to the cumulative effects of selective C-H bond cleavage and selective C-B bond formation.

Mechanism of electrocatalytic hydrogen production by a di-iron model of iron–iron hydrogenase: A density functional theory study of proton dissociation constants and electrode reduction potentials

Simple dinuclear iron dithiolates such as (mu-SCH2CH2CH2S)[Fe(CO)3]2, (1) and (mu-SCH2CH2S)[Fe(CO)3]2 (2) are functional models for diiron-hydrogenases, [FeFe]-H2ases, that catalyze the reduction of protons to H2. The mechanism of H2 production with 2 as the catalyst and with both toluenesulfonic (HOTs) and acetic (HOAc) acids as the H+ source in CH3CN solvent has been examined by density functional theory (DFT). Proton dissociation constants (pKa) and electrode reduction potentials (E(o)) are directly computed and compared to the measured pKa of HOTs and HOAc acids and the experimental reduction potentials. Computations show that when the strong acid, HOTs, is used as a proton source the one-electron reduced species 2- can be protonated to form a bridging hydride complex as the most stable structure. Then, this species can be reduced and protonated to form dihydrogen and regenerate 2. This cycle produces H2 via an ECEC process at an applied potential of -1.8 V vs. Fc/Fc+. A second faster process opens for this system when the species produced at the ECEC step above is further reduced and H2 release returns the system to 2- rather than 2, an E[CECE] process. On the other hand, when the weak acid, HOAc, is the proton source a more negative applied reduction potential (-2.2 V vs. Fc/Fc+) is necessary. At this potential two one-electron reductions yield the dianion 2(2-) before the first protonation, which in this case occurs on the thiolate. Subsequent reduction and protonation form dihydrogen and regenerate 2- through an E[ECEC] process.