2000
DOI: 10.1107/s0108767399016694
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Statistical dynamical theory of X-ray diffraction in the Bragg case: application to triple-crystal diffractometry

Abstract: The statistical dynamical theory of X-ray diffraction is developed for a crystal containing statistically distributed microdefects. Fourier-component equations for coherent and diffuse (incoherent) scattered waves have been obtained in the case of so-called triple-crystal diffractometry. New correlation lengths and areas are introduced for characterization of the scattered volume.

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Cited by 67 publications
(28 citation statements)
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“…18 and references therein). There is a large variety of crystallographic systems for which characterisation requires statistical diffraction theory approaches.…”
Section: Introductionmentioning
confidence: 99%
“…18 and references therein). There is a large variety of crystallographic systems for which characterisation requires statistical diffraction theory approaches.…”
Section: Introductionmentioning
confidence: 99%
“…Fundamental theory connected with the structure analysis from the shape of RLP for distorted crystals is given by Fewster [4] and by Chiercia et al [5]. Another approaches rely on statistical scattering [6,7] and Williamson-Hall theory [8]. In the present paper mainly geometrical aspects of the defected structure is used in RLP simulation.…”
Section: Resultsmentioning
confidence: 99%
“…£ ÑÃÜÇÏ ÔÎÖÚÂÇ ÍÂÍ AEË××ÖÊÐÑÇ, ÕÂÍ Ë ÍÑÅÇÓÇÐÕÐÑÇ ÓÂÔÔÇâÐËÇ ÒÓËÔÖÕÔÕÄÖáÕ Ä ÔÎÑÉÐÑÏ ÒÓÑÙÇÔÔÇ AEËÐÂÏËÚÇ-ÔÍÑÌ AEË×ÓÂÍÙËË Ë ÑÒËÔÞÄÂáÕÔâ ÔËÔÕÇÏÑÌ ËÐÕÇÅÓÑ-AEË×-×ÇÓÇÐÙËÂÎßÐÞØ ÖÓÂÄÐÇÐËÌ [37]. ±ÑÎÖÒÓÑÄÑAEÐËÍÑÄÞÇ ÍÓËÔÕÂÎÎÞ ÑÒÕÑ-Ë ÐÂÐÑàÎÇÍÕÓÑÐËÍË ÒÓÇËÏÖÜÇÔÕÄÇÐÐÑ ËÔÔÎÇAEÖáÕÔâ Ä ÅÇÑÏÇÕÓËË ¢ÓàÅÅÂ, ÒÑàÕÑÏÖ AEË××ÖÊÐÑÇ ÓÂÔÔÇâÐËÇ ÏÑÉÐÑ ÑÒËÔÞÄÂÕß Ä ÍËÐÇÏÂÕËÚÇÔÍÑÏ (ÃÑÓÐÑÄ-ÔÍÑÏ) ÒÓËÃÎËÉÇÐËË ÃÇÊ ÖÚÈÕ âÄÎÇÐËÌ ÄÕÑÓËÚÐÑÌ àÍÔ-ÕËÐÍÙËË.…”
Section: ³õâõëôõëúçôíââ õçñóëâ óçðõåçðñäôíñì Aeë×óâíùëëunclassified