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

International Tables for Crystallography (2006). Vol. C. ch. 2.6, pp. 99-100

Section 2.6.1.5.1. Small-angle cameras

O. Glattera

2.6.1.5.1. Small-angle cameras

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General . In any small-angle scattering experiment, it is necessary to illuminate the sample with a well defined flux of X-rays. The ideal condition would be a parallel monochromatic beam of negligible dimension and very high intensity. These theoretical conditions can never be reached in practice (Pessen, Kumosinski & Timasheff, 1973[link]). One of the main reasons is the fact that there are no lenses as in the visible range of electromagnetic radiation. The refractive index of all materials is equal to or very close to unity for X-rays. On the other hand, this fact has some important advantages. It is, for example, possible to use circular capillaries as sample holders without deflecting the beam. There are different ways of constructing a small-angle scattering system. Slit, pinhole, and block systems define a certain area where the X-rays can pass. Any slit or edge will give rise to secondary scattering (parasitic scattering). The special construction of the instrument has to provide at least a subspace in the detector plane (plane of registration) that is free from this parasitic scattering. The crucial point is of course to provide the conditions to measure at very small scattering angles.

The other possibility of building a small-angle scattering system is to use monochromator crystals and/or bent mirrors to select a narrow wavelength band from the radiation (important for synchrotron radiation) and to focus the X-ray beam to a narrow spot. These systems require slits in addition to eliminate stray radiation.

Block collimation – Kratky camera . The Kratky (1982a[link]) collimation system consists of an entrance slit (edge) and two blocks – the U-shaped centre piece and a block called bridge. With this system, the problem of parasitic scattering can be largely removed for the upper half of the plane of registration and the smallest accessible scattering angle is defined by the size of the entrance slit (see Fig. 2.6.1.13[link] ). This system can be integrated in an evacuated housing (Kratky compact camera) and fixed on the top of the X-ray tube. It is widely used in many laboratories for different applications. In the Kratky system, the X-ray beam has a rectangular shape, the length being much larger than the width. Instrumental broadening can be corrected by special numerical routines. The advantage is a relatively high primary-beam intensity. The main disadvantage is that it cannot be used in special applications such as oriented systems where the two-dimensional scattering pattern has to be recorded. For such applications, any type of point collimation can be used.

[Figure 2.6.1.13]

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Schematic drawing of the block collimation (Kratky camera): E edge; B1 centre piece; B2 bridge; P primary-beam profile; PS primary-beam stop; PR plane of registration.

Slit and pinhole cameras . The simplest way to build a camera is to use two pairs of slits or pinholes at a certain distance apart (Kratky, 1982a[link]; Holmes, 1982[link]). The narrower the slits and the larger the distance between them, the smaller is the smallest attainable scattering angle (sometimes called the `resolution'). Parasitic scattering and difficult alignment are the main problems for all such systems (Guinier & Fournet, 1955[link]). A slit camera that has been used very successfully is that of Beeman and co-workers (Ritland, Kaesberg & Beeman, 1950[link]; Anderegg, Beeman, Shulman & Kaesberg, 1955[link]). A rather unusual design is adopted in the slit camera of Stasiecki & Stuhrmann (1978[link]), whose overall length is 50 m! A highly developed system is the ORNL 10 m camera at Oak Ridge (Hendricks, 1978[link]).

Standard-size cameras for laboratory application are commercially available with different designs from various companies.

Bonse–Hart camera . The Bonse–Hart camera (Bonse & Hart, 1965[link], 1966[link], 1967[link]) is based on multiple reflections of the primary beam from opposite sides of a groove in an ideal germanium crystal (collimator and monochromator). After penetrating the sample, the scattered beam runs through the groove of a second crystal (analyser). This selects the scattering angle. Rotation of the second crystal allows the measurement of the angle-dependent scattering function. The appealing feature of this design is that one can measure down to very small angles without a narrow entrance slit. The system is therefore favourable for the investigation of very large particles (D [\gt] 350 nm). For smaller particles, one obtains better results with block collimation (Kratky & Leopold, 1970[link]).

Camera systems for synchrotron radiation . Small-angle scattering facilities at synchrotrons are built by the local staff and details of the construction are not important for the user in most cases. Descriptions of the instruments are available from the local contacts. These small-angle scattering systems are usually built with crystal monochromators and focusing mirrors (point collimation). All elements have to be operated under remote control for safety reasons. A review of the different instruments was published recently by Koch (1988[link]).

References

First citation Anderegg, J. W., Beeman, W. W., Shulman, S. & Kaesberg, P. J. (1955). An investigation of the size, shape and hydration of serum albumin by small-angle X-ray scattering. J. Am. Chem. Soc. 77, 2927–2937.Google Scholar
First citation Bonse, U. & Hart, M. (1965). An X-ray interferometer. Appl. Phys. Lett. 6, 155–156.Google Scholar
First citation Bonse, U. & Hart, M. (1966). Small-angle X-ray scattering by spherical particles of polystyrene and polyvinyltoluene. Z. Phys. 189, 151–162.Google Scholar
First citation Bonse, U. & Hart, M. (1967). In Small-angle X-ray scattering, edited by H. Brumberger. New York: Gordon and Breach.Google Scholar
First citation Guinier, A. & Fournet, G. (1955). Small angle scattering of X-rays. New York: John Wiley.Google Scholar
First citation Hendricks, R. W. (1978). The ORNL 10-meter small-angle X-ray scattering camera. J. Appl. Cryst. 11, 15–30.Google Scholar
First citation Holmes, K. C. (1982). In Small angle X-ray scattering, edited by O. Glatter & O. Kratky, Chap. 3.II. London: Academic Press.Google Scholar
First citation Koch, M. H. J. (1988). Instruments and methods for small-angle scattering with synchrotron radiation. Macromol. Symp. 15, 79–90.Google Scholar
First citation Kratky, O. (1982a). In Small angle X-ray scattering, edited by O. Glatter & O. Kratky, Chap. 3.I. London: Academic Press.Google Scholar
First citation Kratky, O. & Leopold, H. (1970). A comparison between Bonse–Hart and the block collimation system. Makromol. Chem. 133, 181–195.Google Scholar
First citation Pessen, H., Kumosinski, T. F. & Timasheff, S. N. (1973). Small-angle X-ray scattering. Methods Enzymol. 27, 151–209.Google Scholar
First citation Ritland, H. N., Kaesberg, P. & Beeman, W. W. (1950). Double crystal and slit methods in small angle X-ray scattering. J. Appl. Phys. 21, 838–841.Google Scholar
First citation Stasiecki, P. & Stuhrmann, H. B. (1978). Röntgenkleinstwinkelstreuung an Erythrocyten. J. Appl. Cryst. 11, 1–5.Google Scholar








































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