Final answer:
The Lumiere-Barbier reaction does not appear to be a recognized chemical reaction in scientific literature. It might be a mix-up with the Lumière brothers' public screening or an incorrectly named chemical process.
Step-by-step explanation:
The Lumiere-Barbier reaction is not a concept directly related to the public screening by the Cinématographe Lumière or the various scientific experiments and discoveries mentioned. The closest related topic within the context is the decomposition reaction studied by Antoine Lavoisier with regards to mercuric oxide.
However, it seems there might be some confusion as the Lumiere-Barbier reaction is not a commonly recognized chemical reaction and may either be a mix-up with the renowned public screening event held by the Lumière brothers or an erroneous reference to a chemical process.