Word Count : 257

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In a metal like copper, the total heat capacity arises from contributions of conduction electrons and lattice vibrations. The electronic heat capacity varies linearly with temperature and is expressed as (C_e = \gamma T), where (\gamma) is a small constant characteristic of the metal. The lattice (phonon) heat capacity follows the Debye (T^3) law at low temperatures and is given by (C_l = \beta _______ ___ ________ _____ _____ ___.
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