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Essentially, the work function and the threshold energy are the same. They both represent the amount of energy needed to remove an electron from a particular element. However, the term "work function" is typically given in units of energy per mole of electrons and needs to be converted to just the energy for a single electron using Avogadro's number.
Work function and threshold energy are basically the same thing; it's the minimum energy needed to eject an electron from a certain metal. If the the energy of the light does not meet the threshold energy, then no electrons will be emitted regardless of intensity of light.
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