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As far as I can tell, an elementary reaction is defined by it having one transition state. But a chemical rxn (i.e. an overall reaction) can be made up of multiple steps of elementary reactions, thus having multiple transition states in its reaction profile.
An elementary reaction is an individual, single step reaction in a proposed reaction mechanism. An elementary reaction can be described by a unimolecular reaction, where one molecule forms one or more products, bimolecular reaction, where two molecules collide at the same place and time, termolecular reaction, where three molecules collide, and so on...
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