Volume of Brillouin zone. Show that the volume of the first Brillouin zone is (2π)³/Vc, where Vc is the volume of a crystal primitive cell. Hint: The volume of a Brillouin zone is equal to the volume of the primitive parallelepiped in Fourier space. Recall the vector identity (cx a) x (ax b) = (c.ax b)a.
Volume of Brillouin zone. Show that the volume of the first Brillouin zone is (2π)³/Vc, where Vc is the volume of a crystal primitive cell. Hint: The volume of a Brillouin zone is equal to the volume of the primitive parallelepiped in Fourier space. Recall the vector identity (cx a) x (ax b) = (c.ax b)a.
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Transcribed Image Text:Volume of Brillouin zone. Show that the volume of the first Brillouin zone is (2π)³/Vc,
where Vc is the volume of a crystal primitive cell. Hint: The volume of a Brillouin zone
is equal to the volume of the primitive parallelepiped in Fourier space. Recall the vector
identity (cx a) x (axb) = (c.ax b)a.
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