The reaction between calcium carbonate (CaCO₃) and aluminum oxide (Al₂O₃) does not occur in a straightforward manner under normal conditions, as these two compounds are generally stable and do not react directly with one another.
However, in high-temperature industrial processes, such as those used in the production of lime (from CaCO₃) or aluminum, different reactions can occur depending on the context and the presence of other reactants.
If you have a specific context or reaction in mind, please provide more details, and I would be happy to assist you further!