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The common digital method that is used to eliminate the effect of fiber tilt from fiber diffraction patterns is based on an approximation given by Franklin & Gosling [Acta Cryst. (1953), 6, 678-685]. The estimate of the tilt angle is iteratively optimized in the so-called `Fraser correction'. Building on the fundamental work of Polanyi [Z. Phys. (1921), 7, 149-180], the exact solution is presented.

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