| 1. | The Bloch function can be expanded in the following manner:
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| 2. | Bloch functions can be represented as a Fourier series
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| 3. | However it is not easy to calculate directly either Bloch functions or Wannier functions.
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| 4. | These Bloch functions can be pictured as periodic repetition of atomic orbitals, repeated at intervals corresponding to the lattice spacing.
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| 5. | Of course, if we have exact Wannier functions, the exact Bloch functions can be derived using the inverse Fourier transform.
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