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

International Tables for Crystallography (2006). Vol. C. ch. 4.2, pp. 239-240

Section 4.2.5.4.3. Multiple-reflection monochromators for use with laboratory and synchrotron-radiation sources

D. C. Creaghb

4.2.5.4.3. Multiple-reflection monochromators for use with laboratory and synchrotron-radiation sources

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Single-reflection devices produce reflected beams with quite wide, quasi-Lorentzian, tails (Subsection 2.3.3.8[link] ), a situation that is not acceptable, for example, for the study of small-angle scattering (SAXS, Chapter 2.6[link] ). The effect of the tails can be reduced significantly through the use of multiple Bragg reflections.

The use of multiple Bragg reflections from a channel cut in a monolithic silicon crystal such that the channel lay parallel to the (111) planes of the crystal was shown by Bonse & Hart (1965b[link]) to remove the tails of reflections almost completely. This class of device, referred to as a (symmetrical) channel-cut crystal, is the most frequently used form of monochromator produced for modern X-ray laboratory diffractometers and beamlines at synchrotron-radiation sources (Figs. 4.2.5.2[link], 4.2.5.5[link]).

The use of symmetrical and asymmetrical Bragg reflections for the production of highly collimated monochromatic beams has been discussed by Beaumont & Hart (1973[link]). This paper contains descriptions of the configurations of channel-cut monochromators and combinations of channel-cut monochromators used in modern laboratory diffractometers produced by Philips, Siemens, and Bede Scientific. In another paper, Hart (1971[link]) discussed the whole gamut of Bragg reflecting X-ray optical devices. Hart & Rodriguez (1978[link]) extended this to include a class of device in which the second wafer of the channel-cut monochromator could be tilted with respect to the first (Fig. 4.2.5.6[link] ), thereby providing an offset of the crystal rocking curves with the consequent removal of most of the contaminant harmonic radiation (Fig. 4.2.5.4[link]). The version of monochromator shown here is designed to provide thermal stability for high incident-photon fluxes. Berman & Hart (1991[link]) have also devised a class of adaptive X-ray monochromators to be used at high thermal loads where thermal expansion can cause a significant degradation of the rocking curve, and therefore a significant loss of flux and spectral purity. The cooling of Bragg-geometry monochromators at high photon fluxes presents a difficult problem in design.

[Figure 4.2.5.6]

Figure 4.2.5.6| top | pdf |

A schematic diagram of a Hart-type tuneable channel-cut monochromator is shown. The monochromator is cut from a single piece of silicon. The reflecting surfaces lie parallel to the (111) planes. Cuts are made in the crystal block so as to form a lazy hinge, and the second wafer of the monochromator is able to be deflected by a force generated by a current in an electromagnet acting on an iron disc glued to the upper surface of the wafer. Cooling of the primary crystal of the monochromator is by a jet of water falling on the underside of the wafer. This type of system can tolerate incident-beam powers of 500 W mm−2 without significant change to the width of the reflectivity curve.

Kikuta & Kohra (1970[link]), Matsushita, Kikuta & Kohra (1971[link]) and Kikuta (1971[link]) have discussed in some detail the performance of asymmetrical channel-cut monochromators. These find application under circumstances in which beam widths need to be condensed or expanded in X-ray tomography or for micro X-ray fluorescence spectroscopy. Hashizume (1983[link]) has described the design of asymmetrical monolithic crystal monochromators for the elimination of harmonics from synchrotron-radiation beams.

Many installations use a system designed by the Kohzu Company as their primary monochromator. This is a separated element design in which the reference crystal is set on the axis of the monochromator and the first crystal is set so as to satisfy the Bragg condition in both elements. One element can be tilted slightly to reduce harmonic contamination. When the wavelength is changed (i.e. θ is changed), the position of the first wafer is changed either by mechanical linkages or by electronic positioning devices so as to maintain the position of the outgoing beam in the same place as it was initially. This design of a fixed-height, separated-element monochromator was due initially to Matsushita, Ishikawa & Oyanagi (1986[link]). More recent designs incorporate liquid-nitrogen cooling of the first crystal for use with high-power insertion devices at synchrotron-radiation sources. In many installations, the second crystal can be bent into a cylindrical shape to focus the beam in the horizontal plane. The design of such a sagittally focusing monochromator is discussed by Stephens, Eng & Tse (1992[link]). Creagh & Garrett (1995[link]) have described the properties of a monochromator based on a primary monochromator (Berman & Hart, 1991[link]) and a sagittally focusing second monochromator at the Australian National Beamline at the Photon Factory.

A recent innovation in X-ray optics has been made at the European Synchrotron Radiation Facility by the group led by Snigirev (1994[link]). This combines Bragg reflection of X-rays from a silicon crystal with Fresnel reflection from a linear zone-plate structure lithographically etched on its surface. Hanfland et al. (1994[link]) have reported the use of this class of reflecting optics for the focusing of 25 to 30 keV photon beams for high-pressure crystallography experiments (Fig. 4.2.5.7[link] ).

[Figure 4.2.5.7]

Figure 4.2.5.7| top | pdf |

A schematic diagram of the use of a Bragg–Fresnel lens to focus hard X-rays onto a high-pressure cell. The diameter of the sample in such a cell is typically 10 μm. The insert shows a scanning electron micrograph of the surface of the Bragg–Fresnel lens.

Further discussion on these monochromators is to be found in this volume in Subsection 2.2.7.2[link] , §2.3.5.4.1[link] , Chapter 2.7[link] , and Section 7.4.2[link] .

References

First citation Beaumont, J. H. & Hart, M. (1973). Multiple-Bragg reflection monochromators for synchrotron radiation. J. Phys. E, 7, 823–829.Google Scholar
First citation Berman, L. E. & Hart, M. (1991). Adaptive crystal optics for high power synchrotron sources. Nucl. Instrum. Methods, A302, 558–562.Google Scholar
First citation Bonse, U. & Hart, M. (1965b). Tailless X-ray single-crystal reflection curves obtained by multiple reflection. Appl. Phys. Lett. 7, 238–240.Google Scholar
First citation Creagh, D. C. & Garrett, R. F. (1995). Testing of a sagittal focusing monochromator at BL 20B at the Photon Factory. Access to major facilities program, edited by J. W. Boldeman, pp. 251–252. Sydney: ANSTO.Google Scholar
First citation Hanfland, M., Häusermann, D., Snigirev, A., Snigireva, I., Ahahama, Y. & McMahon, M. (1994). Bragg–Fresnel lens for high pressure studies. ESRF Newsletter, 22, 8–9.Google Scholar
First citation Hart, M. (1971). Bragg reflection X-ray optics. Rep. Prog. Phys. 34, 435–490.Google Scholar
First citation Hart, M. & Rodrigues, A. R. D. (1978). Harmonic-free single-crystal monochromators for neutrons and X-rays. J. Appl. Cryst. 11, 248–253.Google Scholar
First citation Hashizume, H. (1983). Asymmetrically grooved monolithic crystal monochromators for suppression of harmonics in synchrotron X-radiation. J. Appl. Cryst. 16, 420–427.Google Scholar
First citation Kikuta, S. (1971). X-ray crystal monochromators using successive asymmetric diffractions and their applications to measurements of diffraction curves. II. Type 1 collimator. J. Phys. Soc. Jpn, 30, 222–227.Google Scholar
First citation Kikuta, S. & Kohra, K. (1970). X-ray crystal collimators using successive asymmetric diffractions and their applications to measurements of diffraction curves. I. General considerations on collimators. J. Phys. Soc. Jpn, 29, 1322–1328.Google Scholar
First citation Matsushita, T., Ishikawa, T. & Oyanagi, H. (1986). Sagitally focusing double-crystal monochromator with constant exit height at the Photon Factory. Nucl. Instrum. Methods, A246, 377–379.Google Scholar
First citation Matsushita, T., Kikuta, S. & Kohra, K. (1971). X-ray crystal monochromators using successive asymmetric diffractions and their applications to measurements of diffraction curves. III. Type I1 collimators. J. Phys. Soc. Jpn, 30, 1136–1144.Google Scholar
First citation Snigirev, A. (1994). Bragg–Fresnel optics: new fields of applications. ESRF Newsletter, 22, 20–21.Google Scholar
First citation Stephens, P. W., Eng, P. J. & Tse, T. (1992). Construction and performance of a bent crystal X-ray monochromator. Rev. Sci. Instrum. 64, 374–378.Google Scholar








































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