Quantum-chemical calculations have been performed to evaluate the geometries, bonding nature and harmonic frequencies of the compounds [EUX3] at DFT, DFT-D3, DFT-D3(BJ) and DFT-dDSc levels using different density functionals BP86, BLYP, PBE, revPBE, PW91, TPSS and M06-L. The stretching frequency of UN bond in [NUF3] calculated with DFT/BLYP closely resembles with the experimental value. The performance of different density functionals for accurate UN vibrational frequencies follows the order BLYP>revPBE>BP86>PW91>TPSS>PBE>M06-L. The BLYP functional gives accurate value of the UE bond distances. The uranium atom in the studied compounds [EUX3] is positively charged. Upon going from [EUF3] to [EUCl3], the partial Hirshfeld charge on uranium atom decreases because of the lower electronegativity of chlorine compared to flourine. The Gopinathan-Jug bond order for UE bonds ranges from 2.90 to 3.29. The UE bond dissociation energies vary with different density functionals as M06-L
Coordination Complexes/chemistry
, Uranium/chemistry
, Electrons
, Models, Molecular
, Quantum Theory
Electronic, molecular structure and bonding energy analyses of the metal-aminosilylyne, -aminogermylyne, -aminostannylyne and -aminoplumbylyne complexes [(η(5)-C5H5)(CO)2M[triple bond, length as m-dash]EN(SiMe3)(Ph)] (M = Mo, W) and [(η(5)-C5H5)(CO)2Mo[triple bond, length as m-dash]GeN(SiMe3)(Mes)] have been investigated at DFT, DFT-D3 and DFT-D3(BJ) levels using BP86, PBE, PW91, RPBE, TPSS and M06-L functionals. The performance of metaGGA functionals for the geometries of aminoylyne complexes is better than GGA functionals. Significant dispersion interactions between OH, EC(O) and EH pairs appeared in the dispersion-corrected geometries. The non-covalent distances of these interactions follow the order DFT > DFT-D3(BJ) > DFT-D3. The values of Nalewajski-Mrozek bond order (1.22-1.52) and Pauling bond order (2.23-2.59) of the optimized structures at BP86/TZ2P indicate the presence of multiple bonds between metal and E atoms. The overall electronic charges transfer from transition-metal fragments to ligands. The topological analysis based on QTAIM has been performed to determine the analogy of non-covalent interactions. The strength of M[triple bond, length as m-dash]EN(SiMe3)(R) bonds has been evaluated by energy decomposition analysis. The electrostatic interactions are almost equal to orbital interactions. The M â E σ-donation is smaller than the M â E π-back donation. Upon going from E = Si to E = Pb, the M-E bond orders decrease as Si > Ge > Sn > Pb, consistent with the observed geometry trends. The M-E uncorrected bond dissociation energies vary with the density functionals as RPBE < BP86 < PBE < TPSS < PW91. The largest DFT-D3 dispersion corrections to the BDEs correspond to the BP86 functional, ranging between 5.6-8.1 kcal mol(-1), which are smaller than the DFT-D3(BJ) dispersion corrections (10.1-12.0 kcal mol(-1)). The aryl substituents on nitrogen have an insignificant effect on M-E-N bending. The bending of the M-E-N bond angle has been discussed in terms of Jahn-Teller distortion. The larger noncovalent interaction and smaller absolute values of ΔE(HOMO-LUMO) with the M06-L functional are responsible for lowering the M-E-N bond angle.
Quantum-chemical DFT calculations for the electronic, molecular structure and M-PNR(2) bonding analyses of the experimentally known cationic electrophilic phosphinidene complexes [(η(5)-C(5)Me(5))(CO)(2)M{PN(i)Pr(2)}](+) and of the model complexes [(η(5)-C(5)H(5))(CO)(2)M{PNR(2)}](+) (R = (i)Pr, Me) and [(η(5)-C(5)H(5))(PMe(3))(2)M{PNMe(2)}](+) were carried out using BP86/TZ2P/ZORA level of theory. The calculated geometrical parameters of the studied complexes are in good agreement with the reported experimental values. The short M-P bond distances and calculated Pauling bond orders (range of 1.23-1.68), suggest the presence of M-P multiple bond characters. The Hirshfeld charge analysis shows that the overall charge flows from phosphinidene ligand to metal fragment. The M-P σ-bonding orbitals are well-occupied (>1.80e). The energy decomposition analysis revealed that the contribution of the electrostatic interaction ΔE(elstat) is, in all studied complexes, significantly larger (55.2-62.6%) than the orbital interactions ΔE(orb). The orbital interactions between metal and PNR(2) in [(η(5)-C(5)H(5))(L)(2)M{PNR(2)}](+) arise mainly from M â PNR(2) σ-donation. The π-bonding contribution (19-36%) is much smaller than the σ-bonding. The interaction energies, as well as bond dissociation energies, depend on the auxiliary ligand framework around the metal and decrease in the order (η(5)-C(5)H(5)) > (η(5)-C(5)Me(5)) and CO > PMe(3). Upon substitution of R = (i)Pr with smaller group R = Me, the M-PNR(2) bond strength slightly decreases.
The molecular and electronic structures and bonding analysis of terminal cationic metal-ylyne complexes (MeCN)(PMe(3))(4)M≡EMes](+) (M = Mo, W; E = Si, Ge, Sn, Pb) were investigated using DFT/BP86/TZ2P/ZORA level of theory. The calculated geometrical parameters for the model complexes are in good agreement with the reported experimental values. The M-E σ-bonding orbitals are slightly polarized toward E except in the complex [(MeCN)(PMe(3))(4)W(SnMes)](+), where the M-E σ-bonding orbital is slightly polarized toward the W atom. The M-E π-bonding orbitals are highly polarized toward the metal atom. In all complexes, the π-bonding contribution to the total M≡EMes bond is greater than that of the σ-bonding contribution and increases upon going from M = Mo to W. The values of orbital interaction ΔE(orb) are significantly larger in all studied complexes I-VIII than the electrostatic interaction ΔE(elstat). The absolute values of the interaction energy, as well as the bond dissociation energy, decrease in the order Si > Ge > Sn > Pb, and the tungsten complexes have stronger bonding than the molybdenum complexes.
Density functional theory (DFT) calculations have been performed on the terminal dihalogallyl complexes of iron, ruthenium, and osmium (η(5)-C(5)H(5))(Me(3)P)(2)M(GaX(2)) (M = Fe, Ru, Os; X = Cl, Br, I) and (η(5)-C(5)H(5))(OC)(2)Fe(GaX(2)) (X = Cl, Br, I) at the BP86/TZ2P/ZORA level of theory. On the basis of analyses suggested by Pauling, the M-Ga bonds in all of the dihalogallyl complexes are shorter than M-Ga single bonds; moreover, on going from X = Cl to X = I, the optimized M-Ga bond distances are found to increase. From the perspective of covalent bonding, however, π-symmetry contributions are, in all complexes, significantly smaller than the corresponding σ-bonding contribution, representing only 4-10% of the total orbital interaction. Thus, in these GaX(2) complexes, the gallyl ligand behaves predominantly as a σ donor, and the short M-Ga bond lengths can be attributed to high gallium s-orbital character in the M-Ga σ-bonding orbitals. The natural population analysis (NPA) charge distributions indicate that the group 8 metal atom carries a negative charge (from -1.38 to -1.62) and the gallium atom carries a significant positive charge in all cases (from +0.76 to +1.18). Moreover, the contributions of the electrostatic interaction terms (ΔE(elstat)) are significantly larger in all gallyl complexes than the covalent bonding term (ΔE(orb)); thus, the M-Ga bonds have predominantly ionic character (60-72%). The magnitude of the charge separation is greatest for dichlorogallyl complexes (compared to the corresponding GaBr(2) and GaI(2) systems), leading to a larger attractive ΔE(elstat) term and to M-Ga bonds that are stronger and marginally shorter than in the dibromo and diiodo analogues.
Geometry, electronic structure, and bonding analysis of the terminal neutral dihalogallyl complexes of nickel, palladium, and platinum trans-[X(PMe(3))(2)M(GaX(2))] (M = Ni, Pd, Pt; X = Cl, Br, I) were investigated at the BP86 level of theory. The calculated geometries of platinum gallyl complexes trans-[X(PMe(3))(2)Pt(GaX(2))] (X = Br, I) are in excellent agreement with structurally characterized platinum complexes trans-[X(PCy(3))(2)M(GaX(2))]. In the gallyl complexes of nickel and palladium, the M-Ga sigma bonding orbital is slightly polarized toward the gallium atom, while in the platinum gallyl complexes, the M-Ga sigma bonding orbital is slightly polarized toward the platinum atom. It is significant to note that gallium atoms along the M-Ga sigma bonds have large p character, which is always >51% of the total AO contributions, while along the Ga-X sigma bonds, the p character varies from 72% to 73%. The short M-Ga bond distances, in spite of the significantly small M-Ga pi bonding, are due to the large s character of gallium (approximately 45-48%) along the M-Ga bonds. The calculated NPA charge distributions indicate that the metal atom carries negative charge and the Ga atom carries significantly large positive charge. The contributions of the electrostatic interaction terms, DeltaE(elstat), are significantly larger in all gallyl complexes than the covalent bonding DeltaE(orb) term. Thus, the [M]-GaX(2) bond in the studied gallyl complexes of Ni, Pd, and Pt has a greater degree of ionic character (65.7-72.5%). The pi-bonding contribution is, in all complexes, significantly smaller than the sigma bonding contribution. In the GaX(2) ligands, gallium dominantly behaves as a sigma donor. The interaction energy increases in all three sets of complexes via order of Ni < Pd < Pt, and the absolute value of DeltaE(Pauli), DeltaE(int), and DeltaE(elstat) contributions to the M-Ga bonds decreases via X = Cl < Br < I in all three sets of complexes.
