International
Tables for
Crystallography
Volume C
Mathematical, physical and chemical tables
Edited by E. Prince

International Tables for Crystallography (2006). Vol. C. ch. 2.2, p. 27

Section 2.2.1.2. Crystal setting

J. R. Helliwella

a Department of Chemistry, University of Manchester, Manchester M13 9PL, England

2.2.1.2. Crystal setting

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The main use of Laue photography has in the past been for adjustment of the crystal to a desired orientation. With small-molecule crystals, the number of diffraction spots on a monochromatic photograph from a stationary crystal is very small. With unfiltered, polychromatic radiation, many more spots are observed and so the Laue photograph serves to give a better idea of the crystal orientation and setting prior to precession photography. With protein crystals, the monochromatic still is used for this purpose before data collection via an area detector. This is because the number of diffraction spots is large on a monochromatic still and in a protein-crystal Laue photograph the stimulated spots from the Bremsstrahlung continuum are generally very weak. Synchrotron-radiation Laue photographs of protein crystals can be recorded with short exposure times. These patterns consist of a large number of diffraction spots.

Crystal setting via Laue photography usually involves trying to direct the X-ray beam along a zone axis. Angular mis-setting angles ɛ in the spindle and arc are easily calculated from the formula [\varepsilon=\tan^{-1}(\Delta/D),\eqno (2.2.1.3)]where Δ is the distance (resolved into vertical and horizontal) from the beam centre to the centre of a circle of spots defining a zone axis and D is the crystal-to-film distance.

After suitable angular correction to the sample orientation, the Laue photograph will show a pronounced blank region at the centre of the film (see Fig. 2.2.1.2[link]). This radius of the blank region is determined by the minimum wavelength in the beam and the magnitude of the reciprocal-lattice spacing parallel to the X-ray beam (see Jeffery, 1958[link]). For the case, for example, of the X-ray beam perpendicular to the a*b* plane, then [\lambda_{\min}=c(1-\cos2\theta),\eqno(2.2.1.4a)]where [2\theta=\tan^{-1}(R/D)\eqno(2.2.1.4b)]and R is the radius of the blank region (see Fig. 2.2.1.2[link]), and D is the crystal-to-flat-film distance. If λmin is known then an approximate value of c, for example, can be estimated. The principal zone axes will give the largest radii for the central blank region.

References

First citation Jeffery, J. W. (1958). An investigation of the blank areas on Laue photographs round: 1. The direct beam, and 2. Reflections with simple indices. Z. Kristallogr. 110, 321–328.Google Scholar








































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