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The wave-particle duality is a fundamental concept in quantum mechanics that suggests that particles such as electrons and photons can exhibit both wave-like and particle-like properties depending on the experimental setup or observation. Here are some examples of the wave-particle duality:

  1. Electrons: In the famous double-slit experiment, electrons are fired one by one at a barrier with two slits. The resulting pattern on the detector screen shows an interference pattern characteristic of waves, suggesting that electrons can behave as waves. However, when individual electrons are detected, they appear as localized particles, indicating particle-like behavior.

  2. Photons: Photons, which are particles of light, also exhibit wave-particle duality. In experiments such as the double-slit experiment with light, individual photons create an interference pattern on the detector screen, similar to the behavior of waves. However, photons can also be detected as discrete particles during observations, such as in the photoelectric effect.

  3. Atoms and Molecules: Similar to electrons and photons, larger particles such as atoms and molecules can exhibit wave-particle duality. Experiments using diffraction gratings or interference setups have shown that these particles can exhibit wave-like behavior, with their wave nature becoming more apparent as the mass and complexity of the particles increase.

  4. Neutrons: Neutrons, which are neutral subatomic particles, can also exhibit wave-particle duality. Neutron interference experiments, similar to those performed with electrons and light, have demonstrated the wave-like behavior of neutrons. These experiments involve passing a beam of neutrons through a crystal lattice or a diffraction grating and observing the resulting interference pattern.

  5. Protons: Protons, which are positively charged subatomic particles found in atomic nuclei, have also been shown to exhibit wave-particle duality. Experiments using proton diffraction through crystals have demonstrated the wave-like behavior of protons.

These examples highlight that the wave-particle duality is a fundamental property of matter and energy at the quantum level. The behavior of particles can be described by both wave and particle characteristics, with the manifestation of either aspect depending on the experimental setup and observation method.

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