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Figure 4
(a) Detail of a misindexed image, with incorrect reciprocal-space basis vectors a*′ and c*′ shown in the inset. Although all observed reflections are spanned by this basis, no reflections are observed when h′ + l′ is an odd number. (b) Corrected basis after application of the algorithm in §2.5[link]. New basis vectors are chosen such that a* = b*′, b* = a*′ + c*′, c* = a*′ − c*′. The reader will note that the new Miller indices are given by h = k′, k = (h′ + l′)/2, l = (h′ − l′)/2. The matrix transforming the Miller indices is the inverse transpose of the matrix transforming the basis vectors.

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