Source: Corey Burns, Tamara M. Powers, Department of Chemistry, Texas A&M University
Paddlewheel complexes are a class of compounds comprised of two metal ions (1st, 2nd, or 3rd row transition metals) held in proximity by four bridging ligands (most commonly formamidinates or carboxylates) (Figure 1). Varying the identity of the metal ion and the bridging ligand provides access to large families of paddlewheel complexes. The structure of paddlewheel complexes allows for metal-metal bonding, which plays a vital role in the structure and reactivity of these complexes. Due to the diversity of electronic structures that are available to paddlewheel complexes - and the corresponding differences in M-M bonding displayed by these structures - paddlewheel complexes have found application in diverse areas, such as in homogeneous catalysis and as building blocks for metal-organic frameworks (MOFs). Understanding the electronic structure of the M-M bonds in paddlewheel complexes is critical to understanding their structures and thus to application of these complexes in coordination chemistry and catalysis.
Figure 1. General structure of paddlewheel complexes, where M can be a 1st, 2nd, or 3rd row transition metal.
When two transition metals are held in close proximity the d-orbitals overlap, which can result in the formation of M-M bonds. Overlapping d-orbitals can form three types of bonds - σ, π, and δ - depending on the symmetry of the orbitals involved. If we assign the molecular z-axis to be coplanar with the M-M bond, a σ bond is formed by overlap of the dz2 orbitals and π bonds are formed by overlap of the dxz and dyz orbitals. δ bonds are generated by overlap of d-orbitals that have two planar nodes (dxy and dx2–y2). As a result, all four lobes of the d-orbital overlap and the corresponding δ bond has two planar nodes (Figure 2). In theory, with the addition of δ bonds, paddlewheel complexes are capable of supporting quintuple bonds, or five bonds between metal atoms.1 In most complexes, the dx2–y2 forms strong metal-ligand bonds and does not meaningfully contribute to M-M bonding. Thus, quadruple bonds are the maximum bond order in many complexes.
Figure 2. Visual representation of σ, π, and δ bonding MOs resulting from the linear combination of metal d-orbitals. The dz2 atomic orbitals have the best spatial overlap, followed by the dxz and dyz orbitals. The dxy atomic orbitals have the least amount of spatial overlap.
In this video, we will synthesize the dimolybdenum paddlewheel complex Mo2(ArNC(H)NAr)4, where Ar = p-(MeO)C6H4, which features a quadruple bond. We will characterize the compound by NMR spectroscopy and use X-ray crystallography to study the M-M bond.
We begin by constructing an MO diagram of the M-M bond within the general dimolybdenum complex Mo2(ArNC(H)NAr)4. First, we need to define our axes. Assuming the highest available symmetry, Mo2(ArNC(H)NAr)4 is in the point group D4h (Figure 3). The z-axis is by definition assigned to the axis with highest rotational symmetry (primary axis), which in this case is a C4 rotation axis that lies along the Mo-Mo bond. By convention, the x- and y-axis lie along the M-L bonds; in our specific case, this means that the x- and y-axes are collinear with the Mo-N vectors. According to our axis assignments, the dx2–y2 orbital on each Mo atom is involved in metal-ligand bonding. That leaves the dxy, dxz, dyz, and dz2 orbitals for M-M bonding.
The MO diagram that describes the M-M bond in Mo2(ArNC(H)NAr)4 is shown in Figure 4. Linear combination of the dz2 orbital on each M atom results in σ and σ* MOs. The dxz and dyz orbitals form π and π* MOs. Finally, linear combination of the dxy atomic orbitals gives rise to the δ and δ* MOs. The δ bond exhibits the least amount of spatial overlap between the atomic orbitals and, as a result, the relative energy of the bonding orbitals is σ < π < δ (Figure 2). This corresponds to bond strengths, where a σ bond is stronger than a π bond, which is stronger than a δ bond. We fill the corresponding MOs with the total number of d e- for both Mo center, which is 8 (Mo2+, d4). This leads to a bond order of 4, which is consistent with a quadruple bond.
In this video, we will use X-ray crystallography to observe the Mo-Mo bond length in the Mo2(ArNC(H)NAr)4 complex. With the Mo-Mo bond distance from solid state structure, we can find the formal shortness ratio (FSR), which is the normalized value of the M-M bond. The FSR is calculated for a bond A-B using Equation 1, which is simply the ratio of the bond distance observed in the solid state (DA-B) to the sum of the atomic radii ( and
) of the individual atoms.
(1)
The FSR value is normalized for atomic radius and thus provides a fast and convenient way to compare M-M bond distances, not only between different metal types, but also to bond distances between non-metal atoms.
Figure 3. Defined axes for the molecule Mo2(ArNC(H)NAr)4, assuming highest symmetry (D4h).
Figure 4. MO diagram of the M-M bonding in Mo2(ArNC(H)NAr)4.
1. Synthesis of Ligand ArN(H)C(H)NAr, Where Ar = p-(MeO)C6H4 (Figure 5)2
Figure 5. Synthesis of ArN(H)C(H)NAr, where Ar = p-MeOC6H4.
2. Setup of the Schlenk Line
NOTE: For a more detailed procedure, please review the "Schlenk Lines Transfer of Solvent" video in the Essentials of Organic Chemistry series. Schlenk line safety should be reviewed prior to conducting this experiment. Glassware should be inspected for star cracks before use. Care should be taken to ensure that O2 is not condensed in the Schlenk line trap if using liquid N2. At liquid N2 temperature, O2 condenses and is explosive in the presence of organic solvents. If it is suspected that O2 has been condensed or a blue liquid is observed in the cold trap, leave the trap cold under dynamic vacuum. Do NOT remove the liquid N2 trap or turn off the vacuum pump. Over time the liquid O2 will sublime into the pump; it is only safe to remove the liquid N2 trap once all of the O2 has sublimed.
3. Synthesis of Mo2(ArNC(H)NAr)4 (Figure 6)2
CAUTION: The molybdenum source used in the synthesis of Mo2(ArNC(H)NAr)4 is Mo(CO)6, which is highly toxic and may be fatal if inhaled, absorbed through the skin, or swallowed. CO is generated during the reaction. Therefore, the synthesis must be conducted in a well-ventilated hood.
Figure 6. Synthesis of Mo2(ArNC(H)NAr)4, where Ar = p-MeOC6H4.
4. Single Crystal Growth
NOTE: Mo2(ArNC(H)NAr)4 oxidizes slowly in solution. The crystallization solvent should be degassed before use, but rigorous air-free conditions are not necessary to obtain X-ray quality crystals for single crystal X-ray diffraction.
Ligand ArN(H)C(H)NAr
Yield: 3.25 g (53%). 1H NMR (chloroform-d, 500 MHz, δ, ppm): 8.06 (s, 1H, NHC-HN), 6.99 (d, 4H, aromatic C-H, J = 8.7 Hz), 6.86 (d, 4H, aromatic C-H, J = 9.0 Hz), 3.80 (s, 6H, -OCH3).
Mo complex Mo2(ArNC(H)NAr)4
Yield: 450 mg (57%). 1H NMR (chloroform-d, 500 MHz, δ, ppm): 8.38 (s, 4H, NHC-HN), 6.51 (d, 16H, aromatic C-H, J = 8.8 Hz), 6.16 (d, 16H, aromatic C-H, J = 8.8 Hz), 3.71 (s, 24H, -OCH3).
Table 1. Crystal Data and Unit Cell Parameters
Empirical formula | C60H70Mo2N8O8 |
Formula weight (g/mol) | 1223.12 |
Temperature (K) | 296.15 |
Crystal system | triclinic |
Space group | P-1 |
a (Å) | 10.1446(4) |
b (Å) | 10.3351(4) |
c (Å) | 13.9623(6) |
α (°) | 80.151(2) |
β (°) | 75.251(2) |
γ (°) | 82.226(2) |
Volume (Å3) | 1388.3(1) |
The 1H NMR spectrum of Mo2(ArNC(H)NAr)4 exhibits two signals in the aromatic region, which is consistent with 4-foldsymmetry. The solid-state structure (Figure 7) is consistent with the point group D4 and features a short Mo-Mo bond (2.0925(3) Å). The atomic radii of Mo are 1.45 Å. Therefore, using Equation 1, the FSR value for the M-M bond in Mo2(ArNC(H)NAr)4 is 0.72. This value is lower than that observed for the Mo-Mo quadruply bonded complex Mo(hpp)4 (hpp = 1,3,4,6,7,8-hexahydro-2H-pyrimido[1,2-a]pyrimidinate), which has an FSR value of 0.797, and is consistent with the presence of a M-M quadruple bond3.
Figure 7. Solid-state structure for Mo2(ArNC(H)NAr)4 with the thermal ellipsoids set at the 50% probability level. Hydrogen atoms are omitted for clarity (Mo navy, N blue, C gray).
In this video, we learned about M-M bonding. We synthesized a dinuclear molybdenum complex featuring a quadruple bond. Quadruple bonds consist of three different bond types, including σ, π, and δ bonds. We collected single crystal X-ray diffraction data and observed a short Mo-Mo bond length consistent with a quadruply bonded compound.
Paddlewheel complexes, such as the Mo2 complex prepared here, display a wide range of properties and thus find application in diverse areas of chemistry. For example, M-M bonds play an important role in catalysis: the dirhodium paddlewheel complex Rh2(OAc)4 is a known catalyst for C-H bond functionalization via carbene and nitrene transfer reactions (Figure 8). In a typical carbene transfer reaction, Rh2(OAc)4 reacts with a diazo compound to generate a Rh2 carbene intermediate. Subsequent insertion of the carbene into a C-H bond generates the product of C-H functionalization and regenerates the Rh2(OAc)4 catalyst. The exceptional reactivity of Rh2 catalysts in these reactions has been ascribed to Rh-Rh interaction via the M-M bond. The Rh-Rh bond in the resulting intermediate acts as an electron reservoir; while one metal serves as a binding site for substrate, the second metal center shuttles electron density to and from the active metal center during substrate activation. The d-orbital splitting diagram of the intermediate complex (Rh-Rh core bound to the carbenoid) shows that the frontier d-orbitals are non-bonding with respect to the active Rh center (Figure 9a). The electron density in both the σ and π non-bonding MOs is centered on the nucleophilic carbenoid carbon and the "spectator" Rh center, which is not directly bound to the carbenoid unit (Figure 9b)4.
Figure 8. C-H bond functionalization via a metal-carbenoid intermediate.
Figure 9. (a) d-orbital MO splitting diagram of the Rh-Rh core in paddlewheel complexes bound to a carbenoid substrate. Note that only orbitals involved in substrate binding are shown. (b) The resulting σ and π non-bonding MOs are filled with electrons. The electron density in those MOs is centered on the carbenoid carbon and the "spectator" Rh center.
Paddlewheel complexes have also been utilized as building blocks in MOFs. MOFs are porous coordination polymers that consist of metal complexes linked together by organic ligands. The resulting one-, two-, or three-dimensional superstructures can be used in a variety of applications ranging from gas absorption (including separation and purification) to catalysis.
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