Study of Thermal Diffuse X-Ray Scattering from Lead Single Crystals

Schuster, Sanford L.; Weymouth, John W.

doi:10.1103/physrevb.3.4143

Cited by 16 publications

(4 citation statements)

References 26 publications

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“…[20], and the best theoretical predictions. Some of the discrepancy is certainly due to lowest- For moderate values of K , the one-phonon scattering will typically contribute one half of the total scattering intensity, the rest being mainly multiphonon and Compton scattering.…”

Section: Resultsmentioning

confidence: 95%

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Higher Anharmonic Contributions to Diffuse X‐Ray Scattering

Reid¹

1972

Physica Status Solidi (b)

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An investigation has been n;ade into the importance of higher-order anharmonic interference terms between the one-phonon and multiphonon scattering. The second-order terms are discussed in detail and an exact expression is also given for the general term involving the direct coupling of the one-phonon and n-phonon scattering processes. The most interesting second-order process has been evaluated directly for the alkali halides NaP, NaCI, NaBr, NaI, KCl, and KBr with the scattering vector lying along [loo]. It is concluded that the first-order term is dominant most of the way to the zone boundary at temperatures u p to at least 600 OK. This rapid convergence appears t o continue for the third and higher-order diagrams and these are not expected t o contribute significantly t o experimental intensities. However, near the zone boundary the second-order term can be a few percent of the total scattering and hence should be considered.Es wird die Bedeutung der anharmonischen Interferenzterme hoherer Ordnung bei der Einphonon-und Mehrphononenstreuung untersucht. Die Terme zweiter Ordnung werden ausfiihrlich diskutiert und ein exakter Ausdruck fur den allgemeinen Term, der die direkte Kopplung der Einphonon-und n-Phononenstreuprozesse enthalt, angegeben. Der interessanteste ProzeS zweiter Ordnung wird direkt fur die Alkalihalogenide NaF, NaCl, NaBr, NaJ, KCl und KBr mit dem Streuvektor in [loo]-Richtung berechnet. Es wird gefolgert, daB der Term erster Ordnung fast in der gesamten Zone bei Temperaturen bis zu wenigstens 600 OK dominiert. Diese schnelle Konvergenz scheint sich bei den Diagrammen dritter und hohererordnung fortzusetzen und es wird nicht erwartet, daB diese betrlchtlich zu den experimentellen Intensitlten beitragen. Jedoch kann in der NLhe der Zonengrenze der Term zweiter Ordnung einige Prozent der Gesamtstreuung ausmachen und sollte deshalb berucksichtigt werden.

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Section: Resultsmentioning

confidence: 95%

“…X-ray scattering experiments are still ahead of theoretical calculations, for there are sizeable discrepancies between the observations, e.g. [20], and the best theoretical predictions. Some of the discrepancy is certainly due to lowest- Fig.…”

Section: Resultsmentioning

confidence: 99%

Higher Anharmonic Contributions to Diffuse X‐Ray Scattering

Reid¹

1972

Physica Status Solidi (b)

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“…The effect has the distinct advantage that it occurs in a region of reciprocal space where the scattering is free from anharmonic effects and largely free from multiphonon scattering (Reid, 1983a). The most obvious approach to detection and measurement is to perform a classic absolute scattering experiment from extended-face single crystals [as described for instance by Schuster & Weymouth (1971)], scanning the scattering vector K over an appropriate region. After subtraction of the best estimate of the Compton scattering and phonon scattering, the residual scattering will contain the deformation effect.…”

Section: Resultsmentioning

confidence: 99%

The effect of ionic deformation on one-phonon X-ray scattering

Reid¹

1987

Acta Cryst Sect A

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“…This inverse dependence on absorption is rarely pointed out explicitly in the TDS literature (e.g. Schuster & Weymouth, 1971) and appears in a kinematic treatment only if explicit account is taken of the distance into the crystal within which phonon-excited X-rays are created and can escape (Schuster, 1969). It is a natural formal consequence of any dynamical treatment.…”

Section: [ ]mentioning

confidence: 99%