Catalytic Cycles: Tracing Steps Around a Closed Loop
A catalytic cycle links reaction steps and regenerates an active metal species. Reading a cycle means checking its intermediates, electron counts and overall balance. Turnover can stop when reactants run out or the catalyst deactivates.
What a learner can do afterwards
- Traces a full cycle and names each elementary step in turn
- Checks the electron count and oxidation state at every intermediate around the loop
- Identifies the turnover-limiting step and explains what would raise the rate
- Explains how ligand choice steers the selectivity of the product in a stated cycle
1 · Read
A mechanism describes the reaction steps. An elementary step is one molecular event, though a drawn arrow may summarise several events. An intermediate forms and is later consumed. A catalyst is consumed and then regenerated, so it cancels from the net equation. Regeneration allows repeated turnover, but reactant depletion or catalyst deactivation can stop it.
Use an idealised palladium cross-coupling cycle. L is a neutral two-electron ligand; Ar and R are carbon groups, and X is a halide. L2Pd(0) undergoes oxidative addition of ArX to form L2Pd(II)(Ar)X. Transmetalation replaces X with R from an organometallic reagent. Reductive elimination releases ArR and regenerates L2Pd(0). A real mechanism can also include ligand exchange and reagent activation.
In ionic counting, palladium's d-electron count is 10 minus its oxidation state. Each neutral L donates 2 electrons; each bound anionic Ar, R or halide donates 2. L2Pd(0) has 10 + 4 = 14 electrons. L2Pd(II)(Ar)X and L2Pd(II)(Ar)R each have 8 + 4 + 4 = 16.
Add all reaction equations, including reagents and byproducts. Cancel equal stoichiometric amounts of each species on opposite sides; retain any remainder. A closed cycle has no net catalyst consumption. The remainder must match the balanced overall reaction. Balance alone does not prove a mechanism.
If one step dominates turnover, lowering its activation free-energy barrier can raise the rate. Other networks share rate control among several steps, reversible reactions and catalyst populations. Rate control depends on conditions. Ligand changes or heating need not help. Compare proposed mechanisms with measured kinetics and other evidence.
Ligands alter steric crowding and electron donation. With other conditions fixed, changed product ratios show changed selectivity, but do not identify the affected step. Measure both rate and product ratios.
Trace the steps, count electrons and cancel the catalyst. Check rate control and selectivity under stated conditions.
Mechanism and cancellation explanations adapted from Khan Academy's Reaction mechanism and rate law. Additional catalytic-cycle teaching, diagrams and questions were written for this project.
Adapted from Khan Academy's Reaction mechanism and rate law, with catalytic-cycle examples and qualifications added for this project.
2 · Watch
Take it off screen
Where it sits
Optional connections
8 questions wait behind this lesson, each with its answer explained. Every answer feeds the sky: stars light as they are learned, and dim when it is time to come back.