Within the reciprocal space lies the reciprocal lattice, which reflects useful aspects of the crystal symmetry. You will learn how to transform between the Bravais lattice of a crystal in direct space, and its reciprocal lattice in reciprocal space.
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Check your answer against this one: The longer the cell edge in real space, the shorther the corresponding edge of the Brillouin zone. You can see why, by inspecting the equations that relate the lattice vectors in real space and reciprocal space.
For the Fe-Al alloy you geometry-optimized in the previous chapter, which relation do you observe between the length of the unit cell in direct space, and the length of its Brillouin zone along the corresponding direction in reciprocal space?
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