An intriguing experiment to conduct on a rocket would be to investigate the effects of microgravity on protein crystallization. Protein crystals grown in space can be of higher quality and larger size compared to those grown on Earth due to the absence of gravity-induced sedimentation and convection currents. By studying these crystals, researchers can gain invaluable insights into the structure of proteins, which are crucial for understanding biological processes and developing pharmaceuticals.

The specific experiment would involve sending a variety of protein solutions into space aboard a rocket equipped with specialized hardware for controlled temperature and growth conditions. Automated systems would manage the crystallization process, and sensors would monitor key parameters such as temperature, concentration, and crystal growth rates. This experiment would leverage optical imaging systems to track growth in real-time, and telemetry systems to transmit data back to Earth in order to facilitate adjustments and analyses.

Upon completion of the experiment, the crystalline samples could be returned to Earth for detailed examination using techniques like X-ray crystallography. This would provide high-resolution data on molecular structures, potentially advancing drug discovery by revealing binding sites, enzyme activities, and protein interactions. The outcomes from such an experiment could catalyze breakthroughs in medical treatments, enhance our understanding of diseases, and further the development of novel therapeutics. Therefore, this would be a compelling experiment to deploy, harnessing the unique environment of space to make significant contributions to science and medicine.