The phenomenon of wave-particle duality, which is observed in the double-slit experiment, is not limited to subatomic particles like electrons and photons. It can also be demonstrated with larger particles, including molecules. However, as the size and complexity of the particles increase, it becomes more challenging to observe the wave-like behavior due to various factors such as decoherence and interaction with the surrounding environment.
The point at which a molecule becomes too large to exhibit a clear wave pattern in the double-slit experiment is not precisely defined and can depend on several factors. These factors include the mass, complexity, and temperature of the molecule, as well as the experimental setup and conditions.
In general, as molecules become larger and more complex, their internal degrees of freedom (such as vibrations and rotations) increase, leading to increased interactions with the environment and a greater likelihood of losing the wave-like characteristics necessary for interference patterns.
The specific size or complexity of molecules beyond which a wave pattern is no longer observable can vary. However, as a general guideline, large organic molecules, such as those found in biological systems, are typically considered too large and complex to exhibit clear wave behavior in the double-slit experiment. Examples could include proteins, DNA molecules, or large polymers.
It is worth noting that experimental techniques and advancements in technology are constantly evolving, and scientists are continually pushing the boundaries of what can be observed in the quantum realm. Therefore, our understanding and ability to observe wave-particle duality in larger molecules may change as research progresses.