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According to quantum mechanics, particles such as electrons can exhibit both particle-like and wave-like properties, depending on the experimental setup and the way they are observed. This behavior is known as wave-particle duality. It means that particles like electrons can behave as both particles and waves simultaneously.

The nature of electrons as particles or waves is described by their wavefunction, which is a mathematical expression that characterizes their behavior. The wavefunction can be used to calculate the probability of finding an electron at a particular location when a measurement is made.

The behavior of electrons can be understood using different experimental setups. In certain experiments, electrons exhibit particle-like properties. For example, in the double-slit experiment, when electrons are fired at a barrier with two narrow slits, they create an interference pattern on a screen behind the barrier, similar to how waves interfere with each other. This suggests wave-like behavior.

On the other hand, in other experiments, electrons behave more like particles. For instance, in the photoelectric effect, electrons are ejected from a material when it is exposed to light. The energy of the ejected electrons depends on the frequency of the light, which is consistent with the particle-like nature of photons.

Whether an observer perceives electrons as particles or waves depends on the experimental setup and the type of measurement being performed. The act of observation itself can influence the behavior of particles, causing them to "collapse" into a definite state. This phenomenon is known as the observer effect.

In summary, electrons can exhibit both particle-like and wave-like properties simultaneously. The choice between viewing electrons as particles or waves depends on the experimental context and the measurements being made. Quantum mechanics provides a mathematical framework to describe and predict these behaviors, but the interpretation and understanding of these phenomena are still subjects of ongoing scientific investigation and debate.

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