Understanding Electron Liberation in Relation to Light Frequencies

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Electrons are liberated from a metal surface when light of specific frequencies strikes the material, a phenomenon known as the photoelectric effect. This process occurs when photons transfer enough energy to electrons, allowing them to overcome the attractive forces binding them to the metal. The frequency of the light must be above a certain threshold for liberation to occur, as lower frequencies do not provide sufficient energy. The concept of liberation refers to the transition of electrons from a bound state to a free state. Understanding this effect is crucial in fields like quantum mechanics and photonics.
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In my physics class we are learning about certain frequencies of light hitting and "liberating" electrons, but we didn't go into any detail about what "liberating" the electron means. Can somebody explain?
 
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It may be shown from the equations of electromagnetism, by James Clerk Maxwell in the 1860’s, that the speed of light in the vacuum of free space is related to electric permittivity (ϵ) and magnetic permeability (μ) by the equation: c=1/√( μ ϵ ) . This value is a constant for the vacuum of free space and is independent of the motion of the observer. It was this fact, in part, that led Albert Einstein to Special Relativity.
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