1955
DOI: 10.1063/1.1722032
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Small Particle X-Ray Scattering by Fibers, Size and Shape of Microcrystallites

Abstract: A theoretical and experimental analysis is given of small particle x-ray scattering by fibers. The scattering by different fibers of high orientation is compared with the theoretical scattering curves derived for independent scattering by an assemblage of parallel cylinders. Under certain conditions of swelling, excellent agreement is obtained between experimental and theoretical curves. From this agreement it is concluded that under these conditions, independent particle scattering is realized … Show more

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Cited by 58 publications
(31 citation statements)
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“…The value j=0 was set to be perpendicular to the fiber axis. From the point of view of SAXS the cell wall is assumed to consist of cellulose microfibrils, which are assumed to be thin, elongated cylinders, and the surrounding matrix (Heyn 1955). Scattering from an oriented cylindrical microfibril causes an intensity stripe, which is perpendicular to the cylinder axis.…”
Section: Small-angle X-ray Scatteringmentioning
confidence: 99%
“…The value j=0 was set to be perpendicular to the fiber axis. From the point of view of SAXS the cell wall is assumed to consist of cellulose microfibrils, which are assumed to be thin, elongated cylinders, and the surrounding matrix (Heyn 1955). Scattering from an oriented cylindrical microfibril causes an intensity stripe, which is perpendicular to the cylinder axis.…”
Section: Small-angle X-ray Scatteringmentioning
confidence: 99%
“…At q & 1-2 nm -1 , the scattering signal shows a shoulder which can be assumed to come mainly from the fibril structures. At very large q (q * 2 nm -1 ), the pattern is overlapped by diffuse WAXS contributions (Heyn 1955a) which lead to a deviation from the -4 power law, significantly after NaOH treatment. When the Deli.…”
Section: Wide-angle X-ray Scattering (Waxs)mentioning
confidence: 99%
“…Whereas X-ray scattering methods have been used successfully to determine average structural parameters such as the mean micro®bril angle (see for example Cave, 1997;Evans, 1994;Jakob et al, 1994Jakob et al, , 1995 or the mean diameter of the cellulose ®brils (Heyn, 1955;Jakob et al, 1994), they have up to now been inappropriate for the investigation of the helical orientation of the cellulose ®brils. The X-ray beam obtained from a conventional laboratory source always irradiated a number of complete cells.…”
Section: Introductionmentioning
confidence: 99%