Accurate ab initio calculations of the ground states of FeC, FeC+, and FeC−

Friction Mechanism of Sulfur-Containing Lubricant Additives Confined between Fe(100) Substrates

Sulfur-containing lubricant additives can chemically react with metal surfaces under extreme conditions, such as high temperature and high pressure, forming protective films on the surfaces. However, the formation mechanisms and the friction-reducing and antiwear properties of these films remain unclear. In this study, we investigated the friction process of sulfur-containing additives confined between two iron surfaces using reactive molecular dynamics simulations. Our research revealed that in systems with a higher S/C ratio, an iron sulfide layer formed on the iron surfaces with Fe-S-Fe bridging bonds at the interface, resulting in relatively smaller friction and wear even under higher loads. However, in systems with lower S/C ratios, the presence of numerous interfacial Fe-Cn-Fe bridging bonds, caused by the hydrocarbon radicals released from the additives, led to the formation of thick amorphous shearing bands at the interface between the two substrates. In this case, the distributed sulfur atoms also exhibited some effect in reducing the shear resistance of the amorphous shearing bands due to the weak strength of S-Fe bonds compared to the strength of C-Fe bonds. These atomic-level insights help understand the antiwear characteristics of sulfur-containing lubricant additives confined between iron substrates.

Quantitative Account of the Bonding Properties of a Rubredoxin Model Complex [Fe(SCH3)4]q, q = -2, -1, +2, +3

Iron-sulfur clusters play important roles in biology as parts of electron-transfer chains and catalytic cofactors. Here, we report a detailed computational analysis of a structural model of the simplest natural iron-sulfur cluster of rubredoxin and its cationic counterparts. Specifically, we investigated adiabatic reduction energies, dissociation energies, and bonding properties of the low-lying electronic states of the complexes [Fe(SCH₃)₄]^2-/1-/2+/3+ using multireference (CASSCF, MRCISD), and coupled cluster [CCSD(T)] methodologies. We show that the nature of the Fe-S chemical bond and the magnitude of the ionization potentials in the anionic and cationic [Fe(SCH₃)₄] complexes offer a physical rationale for the relative stabilization, structure, and speciation of these complexes. Anionic and cationic complexes present different types of chemical bonds: prevalently ionic in [Fe(SCH₃)₄]^2-/1- complexes and covalent in [Fe(SCH₃)₄]^2+/3+ complexes. The ionic bonds result in an energy gain for the transition [Fe(SCH₃)₄]^2- → [Fe(SCH₃)₄]^- (i.e., Fe^II → Fe^III) of 1.5 eV, while the covalent bonds result in an energy loss for the transition [Fe(SCH₃)₄]²⁺ → [Fe(SCH₃)₄]³⁺ of 16.6 eV, almost half of the ionization potential of Fe²⁺. The ionic versus covalent bond character influences the Fe-S bond strength and length, that is, ionic Fe-S bonds are longer than covalent ones by about 0.2 Å (for Fe^II) and 0.04 Å (for Fe^II). Finally, the average Fe-S heterolytic bond strength is 6.7 eV (Fe^II) and 14.6 eV (Fe^III) at the RCCSD(T) level of theory.

Small Transition-Metal Mixed Clusters as Activators of the C-O Bond. FenCum-CO (n + m = 6): A Theoretical Approach

Binding of carbon monoxide, CO, and its activation on the surface of the Fe_nCu_mCO (n + m = 6) clusters are studied in this work. Using the BPW91/6-311 + G(2d) method, we have found that adsorption of the CO molecule on the surface of Fe_nCu_m (n + m = 6) clusters is thermochemically favorable. Atop and bridge CO cluster coordinations appear for pure, Fe₆ and Cu₆, and mixed, Fe₂Cu₄ and Fe₄Cu₂, clusters. Threefold coordination takes place for Fe₃Cu₃-CO where the CO bond length, d_CO, suffers a largest increase from 1.128 ± 0.014 Å for bare CO up to 1.21 Å. The CO stretching, ν_CO, as an indicator for the CO bond weakening is redshifted, from 2099 ± 4 cm^-1 for isolated CO up to 1690 cm^-1 for Fe₃Cu₃CO and 1678 cm^-1 for Fe₆CO. In addition, in Cu₆CO, the strongest CO bond is slightly weakened as it has a bond length of 1.15 Å and a ν_CO of 2029 cm^-1. There is a correlation between the CO bond weakening and the increase of CO coordination in Fe_nCu_mCO, which in turns promotes the transference of charges from the metal core into the antibonding orbitals of CO. Substitution of up to three Cu atoms in Fe₆ increases the adsorption energies and the activation of CO. Indeed, Fe_nCu_m (n + m = 6) are promising clusters to catalyze CO dissociation, particularly Fe₃Cu₃, Fe₅Cu, and Fe₆, which have large CO bond lengths and CO adsorption energies. The Bader analysis of the electronic density indicates that Fe_nCu_mCO species with threefold coordination show a rise in the C-O covalent character due to the less electronic polarization. They also show important M → CO charge transfer, which favors the weakening of the CO bond.

Quadruple chemical bonding in the diatomic anions TcN- , RuC- , RhB- , and PdBe. J Comput Chem 2021;42:1126-1137. [PMID: 33851470 DOI: 10.1002/jcc.26527]

Quadruple bonding is uncommon for main group elements and the identification of species forming such bonds is remarkably interesting particularly in diatomic anions for which there is a lack of information. Here, it is found that the MX^- anions, TcN^- , RuC^- , RhB^- , and PdBe^- , present quadruple bonding, as do the corresponding MX neutrals, even though a different type of σ² bond is involved in ∑⁺ states of neutral and anions. Specifically, the ground states (X² Δ or X² ∑⁺ ) of the four anions and their first excited states (A² ∑⁺ or A² Δ) of TcN^- , RuC^- , and RhB^- present quadruple bonds consisting of two σ and two π bonds: (4d_z2  - 2p_z )² , 5p_z ⁰  ← 2s² , (4d_xz  - 2p_x )² , and (4d_yz  - 2p_y )² . Bond lengths, dissociation energies, spectroscopic data and electron affinities were calculated via high-level multireference and coupled-cluster methodology using the aug-cc-pV5Z_X (-PP)_M basis set. Strong bonding results in short bond lengths ranging from 1.602 (TcN^- ) to 1.944 (PdBe^- ) Å. Adiabatic (diabatic) binding energies reach up to 139 (184) kcal/mol. Electron affinities (EA) were calculated at 1.368 (TcN), 1.242 (RuC), 0.873 (RhB), 0.743 (PdBe) eV. Only for RhB has EA been measured experimentally at 0.961 eV, in good agreement with the value reported here.

Carbon Monoxide Activation on Small Iron Magnetic Cluster Surfaces, FenCO, n = 1-20. A Theoretical Approach

The chemical activation of the carbon monoxide (CO) molecule on the surface of iron clusters Fe_n (n = 1-20) is studied in this work. By means of density functional theory (DFT) all-electron calculations, we have found that the adsorption of CO over the bare magnetic Fe_n (n = 1-20) clusters is thermochemically favorable. The Fe_n-CO interaction increases the C-O bond length, from 1.128 ± 0.014 Å, for isolated CO, up to 1.251 Å, for Fe₉CO. Also, the calculated wavenumbers associated with the stretching modes ν_CO are decreased, or red-shifted, as another indicator of the CO bond weakening, passing from 2099 ± 4 to 1438 cm^-1. Markedly, wavenumbers of vibrational modes ν_CO agree admirably well in comparison with experimental results reported for Fe_nCO (n = 1, 18-20), getting small errors below 2.6%. The C-O bond is enlarged on the Fe_nCO (n = 1-20) composed systems, as the CO molecule increases its bonding, charge transference, and coordination with the iron cluster. Therefore, small bare iron particles Fe_n (n = 1-20) can be proposed to promote the CO dissociation, especially Fe₉CO, which has been proven to obtain the most prominent activation of the strong C-O bond by means of the charge transference from the metal core.

Stereochemical analysis of ferrocene and the uncertainty of fluorescence XAFS data

Methods for the quantification of statistically valid measures of the uncertainties associated with X-ray absorption fine structure (XAFS) data obtained from dilute solutions using fluorescence measurements are developed. Experimental data obtained from 10 mM solutions of the organometallic compound ferrocene, Fe(C(5)H(5))(2), are analysed within this framework and, following correction for various electronic and geometrical factors, give robust estimates of the standard errors of the individual measurements. The reliability of the refinement statistics of standard current XAFS structure approaches that do not include propagation of experimental uncertainties to assess subtle structural distortions is assessed in terms of refinements obtained for the staggered and eclipsed conformations of the C(5)H(5) rings of ferrocene. Standard approaches (XFIT, IFEFFIT) give refinement statistics that appear to show strong, but opposite, preferences for the different conformations. Incorporation of experimental uncertainties into an IFEFFIT-like analysis yield refinement statistics for the staggered and eclipsed forms of ferrocene which show a far more realistic preference for the eclipsed form which accurately reflects the reliability of the analysis. Moreover, the more strongly founded estimates of the refined parameter uncertainties allow more direct comparison with those obtained by other techniques. These XAFS-based estimates of the bond distances have accuracies comparable with those obtained using single-crystal diffraction techniques and are superior in terms of their use in comparisons of experimental and computed structures.