X-ray standing waves under the conditions of multiple diffraction

Kohn, V. G.

doi:10.1002/pssa.2211060105

Cited by 39 publications

(9 citation statements)

References 12 publications

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“…This expression is similar to (77) obtained for the SR yield with the small depth of yield. This approach was for the first time applied for the measurement of the phase of the structure factor in perfect crystals in [101] and then generalized for the case of deformed crystals theoretically [122,127] and experimentally [128]. Approach described in this review paper to the calculation and analysis of the secondary radiation yield while the dynamical diffraction of x-rays was quite general.…”

Section: Discussionmentioning

confidence: 99%

Theory and applications of x-ray standing waves in real crystals

Vartanyants¹,

Kovalchuk

2001

Rep. Prog. Phys.

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Theoretical aspects of x-ray standing wave method for investigation of the real structure of crystals are considered in this review paper. Starting from the general approach of the secondary radiation yield from deformed crystals this theory is applied to different concreate cases. Various models of deformed crystals like: bicrystal model, multilayer model, crystals with extended deformation field are considered in detailes. Peculiarities of x-ray standing wave behavior in different scattering geometries (Bragg, Laue) are analysed in detailes. New possibilities to solve the phase problem with x-ray standing wave method are discussed in the review. General theoretical approaches are illustrated with a big number of experimental results. * present address:

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Section: Discussionmentioning

confidence: 99%

Theory and applications of x-ray standing waves in real crystals

Vartanyants¹,

Kovalchuk

2001

Rep. Prog. Phys.

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“…This additional peak is generated by both the incident beam and strongly reflected beam and has an asymmetric shape owing to the change of the phase difference between the complex amplitudes of the incident and strongly reflected beams. Such a shape is characteristic of the curve of the yield of secondary radiation in the standing-wave technique (Kovalchuk & Kohn, 1986a,b) and was described for the first time by Kohn (1988b). Experimental setup.…”

Section: Experiments and Fitmentioning

confidence: 97%

High-resolution study of (002, 113, 11−1) four-beam diffraction in Si

Kohn¹,

Kazimirov²

2012

Acta Cryst Sect A

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The results of a high-resolution study of the (002, 113, 111) four-beam diffraction in Si are presented. The incident synchrotron radiation beam was highly monochromated and collimated with a multi-crystal arrangement in a dispersive setup in both vertical and horizontal planes, in an attempt to experimentally approach plane-wave incident conditions. The Renninger scheme was used with the forbidden reflection reciprocal-lattice vector 002 normal to the crystal surface. The azimuthal and polar rotations were performed in the crystal surface plane and the vertical plane correspondingly. The polar angular curves for various azimuthal angles were measured and found to be very close to theoretical computer simulations, with only a small deviation from the plane monochromatic wave. The effect of the strong two-beam 002 diffraction was observed for the first time with the maximum reflectivity close to 80%. The structure factor of the 002 reflection in Si was experimentally determined as zero.

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“…Another interesting development is due to Kohn and coworkers who used three-beam diffraction concepts to obtain a depth pro®le of crystal distortion (Kohn, 1988;Kohn & Samoilova, 1992). This has been further extended by Schroer (1998), who, by numerical simulations, included effects of strain owing to multilayer deposition.…”

Section: Introductionmentioning

confidence: 99%

Three-beam diffraction in an elastically strained crystal plate

Larsen

Thorkildsen

Weckert³

2004

Acta Cryst Sect A

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Based on the Takagi-Taupin equations, an analytical expression for the three-beam diffraction profile function in an elastically strained crystal plate is derived. The strain parameters appear in the shape functions governing both triplet-phase dependent and independent terms in the solution. Simulations show that three-beam profiles are significantly influenced. With increasing strain any phase information in the profiles is obscured and subsequently lost.

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X-ray standing waves under the conditions of multiple diffraction

Cited by 39 publications

References 12 publications

Theory and applications of x-ray standing waves in real crystals

Theory and applications of x-ray standing waves in real crystals

High-resolution study of (002, 113, 11−1) four-beam diffraction in Si

Three-beam diffraction in an elastically strained crystal plate

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