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Collective excitations in periodic, elastic arrangements of atoms or molecules in condensed matter, like solids and some liquids. They are quasiparticle quantum modes of vibration of elastic structures of interacting particles.

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Why phonons outside the First Brillouin zone can be represented by phonons inside the First ...

I cannot understand clearly that why phonons outside the First Brillouin zone (in terms of wave numbers) can be represented by phonons within the First Brillouin zone. … If so, such phonons do not exist? …
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