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Spectral singularities that spoil the completeness of Bloch-Floquet statesmay occur in non-Hermitian Hamiltonians with complex periodic potentials. Herean equivalence is established between spectral singularities in complexcrystals and secularities that arise in Bragg diffraction patterns. Signaturesof spectral singularities in a scattering process with wave packets areelucidated for a PT-symmetric complex crystal.

Spectral singularities and Bragg scattering in complex crystals