# X-Ray Topography

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## X-Ray Topography

the aggregate of X-ray diffraction methods for studying various structural defects in near-perfect crystals. Such defects include mosaic blocks and boundaries of structural elements, stacking faults, dislocations, clusters of impurity atoms, and deformations. When X rays are diffracted by crystals in special X-ray cameras making use of various transmission and reflection methods, X-ray diffraction patterns are obtained. This pattern, which is the diffraction image of the crystal, is called a topogram in X-ray diffraction analysis.

Figure 1. Schematic of the obtaining of a topogram of a crystal by the Schultz reflection method; a beam of continuous-spectrum X rays diverging from a “point” focus (25 μηι in diameter) is incident on the crystal at angles from θ to θ ‘that satisfy the Laue condition for wavelengths from λ to λ’, and the reflected beam yields a diffraction image of the crystal on photographic film

The physical basis for the methods of X-ray topography is the diffraction contrast in the image of different regions of the crystal within a single diffraction spot. This contrast is formed as a result of the differences in the intensities or directions of the rays from different points of the crystal in accordance with the perfection or orientation of the crystal lattice at these points. The effect produced by the change in the path of the rays permits estimates to be made of the dimensions and misorientation of crystal substructure elements, such as fragments and mosaic blocks. The difference in the intensities of beams is used to find stacking faults, dislocations, segregations of impurities, and stresses.

Figure 2. Schematic of the obtaining of a topogram of a crystal by the Fujiwara transmission method; a beam of continuous-spectrum X rays diverging from a “point” source forms an image of a thin crystal when it passes through the crystal. The thickness of the crystal is t ≥1/μ, where μ is the linear absorption coefficient for X rays. The magnification is B/D.

Figure 3. Schematic of the obtaining of a topogram of a crystal by the Berg-Barrett reflection method; a parallel beam of monochromatic X-radiation from a line source is incident on the surface of the crystal at the Bragg angle, and the diffraction image is recorded on photographic film located near the crystal and parallel to the crystal’s surface

X-ray topography differs from other X-ray techniques for investigating crystals in its high resolving power and sensitivity. In addition, X-ray topography permits the investigation of the three-dimensional distribution of defects in comparatively large near-perfect crystals having dimensions of up to tens of centimeters.

The linear resolution of many methods of X-ray topography ranges from 20 micrometers (μm) to 1 μm, and the angular resolution from 1’ to 0.01”. The sensitivity is determined by the contrast in the intensities of the diffracted rays from correctly and incorrectly oriented crystal regions and from perfect and distorted regions.

Figure 4. Schematic of the obtaining of a topogram of a crystal through the use of a wide parallel beam of monochromatic X-radiation. The parallel beam is formed from a line focus by slits I and II and is incident on the crystal at the Bragg angle 2θ. Slit III isolates from the diffracted beam a parallel beam that is recorded on a photographic plate. In order to investigate large crystals, the crystal and the photographic plate can be moved synchronously while the photograph is being made.

The methods of X-ray topography differ in the following respects: range of diffraction angles used; character of defects found, which can be macroscopic defects or lattice defects; de-

Figure 5. Schematic of the obtaining of a topogram of a crystal by the Lang transmission method through the use of a narrow parallel beam. Monochromatic X rays from a “point” source are singled out by a narrow slit (0.1 mm in width) so that only Kα1 radiation is incident on the crystal. The diffraction image is isolated by a second slit and recorded on a photographic plate. The greater the distance A and the smaller the width S of the slit, the greater the mono-chromaticity of the radiation. For large crystals, synchronous back-and-forth motion of tire crystal and the photographic plate is necessary; the slits remain stationary during this motion.

gree of imperfection and defectiveness of the crystals; sensitivity; and resolving power. Schematic diagrams of certain methods of X-ray topography are presented in Figures 1–5. The conversion of X-ray images into visible images and the presentation of the images on a television screen permit the defects of crystals to be monitored when the crystals undergo various kinds of treatment during industrial processing or during the investigation of their properties.

### REFERENCES

Iveronova, V. I., and G. P. Revkevich. Teoriia rasseianiia rentgenovskikh luchei. Moscow, 1972.
Umanskii, Ia. S. Rentgenografiia metallov. Moscow, 1967.
Liuttsau, V. G., and Iu. M. Fishman. “Metod difraktsionnoi topografii na osnove skanirovaniia ν shirokom puchke rentgenovskikh luchei.” Kristallografiia, 1969, vol. 14, issue 5, p. 835.
Rovinskii, B. M., V. G. Liuttsau, and A. A. Khanonkin. “Rent-genograficheskie metody issledovaniia strukturnykh nesovershenstv i defektov reshetki ν kristallicheskikh materialakh.” Apparatura i metody rentgenovskogo analiza, 1971, issue 9, pp. 3–35.
Kozaki, S., H. Hashizume, and K. Kohra. “High-resolution Video Display of X-ray Topographs With the Divergent Laue Method.” Japanese Journal of Applied Physics, 1972, vol. 11, no. 10, p. 1514.

V.G. LIUTTSAU

References in periodicals archive ?
The following investigations were carried out at NGTC, except for X-ray topography and Laue diffraction, which were carried out at De Beers Technologies in Maidenhead.
X-ray topography (Mo K[alpha] radiation, {533} reflection) using a Marconi GX20 rotating anode X-ray generator was done to visualize strain associated with dislocations that formed during the sample's growth.
The National Institute of Standards and Technology (NIST) Materials Science and Engineering Laboratory (MSEL) program to characterize materials by means of this powerful probe began in the early 1980s, with the design, construction and commissioning of a monochromatic x-ray topography (1) station (X23A3) at the National Synchrotron Light Source (NSLS) at Brookhaven National Laboratory.
Today, the combined portfolio of NIST facilities with our partners at the NSLS and with UNICAT at the APS offers measurement capabilities in ultra-small-angle x-ray scattering, high-resolution x-ray topography, hard and soft XAFS, and standing-wave x-ray diffraction.
From 1984, until it was closed in 2000, X23A3 was a premier monochromatic x-ray topography facility.
These include: ultra-small-angle x-ray scattering, high resolution x-ray diffraction, surface x-ray diffraction, diffuse x-ray scattering, x-ray topography, XAFS, magnetic scattering, and x-ray tomography.
At the time of this writing, two additional NIST-responsible instruments are being commissioned: x-ray topography and x-ray absorption fine structure.
In 1984, NIST's synchrotron facilities were inaugurated with the commissioning of a single beam station at the NSLS for x-ray topography.

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