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A large single-crystal of α-AgI was grown in situ from the melt on the SXD single-crystal neutron time-of-flight Laue diffractometer using a specially designed furnace. A wide range of reciprocal space was accessed with minimal rotation of the arbitrarily aligned sample. Weak rings of diffuse scattering were observed together with strong scattering around some Bragg peaks. The results are discussed with reference to earlier powder diffraction data and indicate significant correlations between the motion of the silver ions and the vibrations of the iodide ions.