The geometrical distortion of deficiency conic sections and its influence on lattice-parameter determinations

Lutts, A.
(1973) Journal of Applied Crystallography — Vol. 6, p. 428-437 (1973)

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  • Lutts, A.
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Abstract
The lattice-parameter error due to a relative misorientation between the specimen and the flat film in the transmission divergent X-ray beam and Kossel techniques developed for alpha -iron has been studied in detail. It has been shown that the most frequently encountered case of film misorientation can be theoretically divided into two pure components. The Type I component has been shown to have no influence whatsoever on the lattice parameter measured by this or any other method involving the ratio technique. The lattice-parameter error is thus due exclusively to the Type II component. In addition, it has been shown that these errors, which can become relatively important, are present in all linearly non-symmetric methods. In contrast, errors due to Type II components in linearly symmetrical methods should be very small if not experimentally undetectable. The geometry involved is such that the lattice parameter error cannot be experimentally determined. However, such film misorientations and their resulting lattice-parameter errors can be reduced to a very low value by means of the reticule method previously proposed and described.
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Lutts, A. (1973). The geometrical distortion of deficiency conic sections and its influence on lattice-parameter determinations. Journal of Applied Crystallography, 6, 428-437. https://hdl.handle.net/2078.5/44957 (Original work published 1973)