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A free electron is an electron that is not permanently attached to an atom and can move freely within a substance or vacuum. In conductors like metals, these free electrons form an "electron gas" that allows for the flow of electrical current. Materials with free electrons are good conductors, while those with tightly bound electrons act as insulators. In semiconductors, the number of free electrons can be increased by heat or impurities, significantly altering their conductivity. Unlike bulk matter, the properties of small clusters of atoms can vary greatly with the number of constituent particles, including their binding energies and electronic structures.12345

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