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ΦMEF χ ΦSμ
When contact is made, electrons can lower their energy by flowing from the semiconductor conduction band into the metal.
labels ΦM  − χ ΦM  − ΦS labels Depletion layer > labels 2c Depletion layer labels 2c Depletion layer
This continues until the chemical potential in the semiconductor reaches equilibrium with the Fermi energy of the metal.