On the lorentz factor for integrated intensities from azimuthal and radial diffractometer records of fiber patterns

Wolff, De

doi:10.1002/pol.1962.1206016921

Cited by 23 publications

(7 citation statements)

References 4 publications

(1 reference statement)

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“…The on axis reflections are observed to be more intense which is predicted by the Lorentz factor for uniaxial orientation. 29,38 The √8 and √12 reflections are difficult to see on the same image as the √3 reflections due to contrast difference; an adjusted image showing the outer reflections is shown in S2 where again the positions match predictions. Interestingly, the lattice has undergone a slight tetragonal elongation in the z direction, with lattice parameters a=b=140 ± 1 Å and c= 150.3 ± 0.1 Å (see S3) where a,b,c are the unit cell dimensions in the x,y,z directions respectively.…”

Section: Please Do Not Adjust Marginsmentioning

confidence: 95%

Aligned platinum nanowire networks from surface-oriented lipid cubic phase templates

et al. 2016

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Section: Please Do Not Adjust Marginsmentioning

confidence: 95%

Aligned platinum nanowire networks from surface-oriented lipid cubic phase templates

et al. 2016

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“…Additionally, the probability of the crystallites to have the planes in the correct orientation for Bragg scattering is inversely proportional to the sine of the incident Bragg angle θ and φ hkl , with the latter being the angle between the plane normal and the fiber axis. To account for these effects the measured intensity is divided by the Lorentz factor [14], [15]:…”

Section: Experimental Design Materials and Methodsmentioning

confidence: 99%

X-ray data from a cyclic tensile study of melt-spun poly(3-hydroxybutyrate) P3HB fibers: A reversible mesophase

et al. 2019

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Wide-angle x-ray diffraction (WAXD) patterns that show mesophases in core-sheath bicomponent fibers and amorphous fibers are presented in section 1.1 of the article. Section 1.2 presents molecular dynamics simulations and scattered intensity calculations of stretched P3HB chains. Sections 1.3–1.6 summarize WAXD and small-angle x-ray scattering (SAXS) data analysis from a tensile study of melt-spun P3HB fibers. Azimuthal profiles are extracted from 2D WAXD patterns at various angular regions and the positions of equatorial reflections and corresponding d-spacings are summarized. Additionally, the extracted structural parameters from SAXS images are summarized. The tensile stress calculations, crystal orientation calculations, applied intensity corrections, calculations of long spacings, coherence lengths and lamellar diameters are explained in the methods subsections 2.3.1–2.3.7. WAXD and SAXS measurements of P3HB fibers were recorded on a Bruker Nanostar U diffractometer (Bruker AXS, Karlsruhe, Germany). The recorded WAXD/SAXS patterns were analyzed with the evaluation software DIFFRAC.EVA (version 4.2., Bruker AXS, Karlsruhe, Germany) and python codes. For more information see ‘Tensile study of melt-spun poly(3-hydroxybutyrate) P3HB fibers: Reversible transformation of a highly oriented phase’ (Perret et al., 2019).

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“…If properly normalized, this volume integral is given by and using the approximation given by equation (7) one finds [22] t= J r Ih (Oh' ~) dr Sr…”

Section: Lorentz Factorfor Diatropic Reflections In a Fiber Diagrammentioning

confidence: 99%

Lattice defects in poly(p-phenylene-terephthalamide) fibers

Krenzer

Ruland

1985

Colloid & Polymer Sci

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On the lorentz factor for integrated intensities from azimuthal and radial diffractometer records of fiber patterns

Cited by 23 publications

References 4 publications

Aligned platinum nanowire networks from surface-oriented lipid cubic phase templates

Aligned platinum nanowire networks from surface-oriented lipid cubic phase templates

X-ray data from a cyclic tensile study of melt-spun poly(3-hydroxybutyrate) P3HB fibers: A reversible mesophase

Lattice defects in poly(p-phenylene-terephthalamide) fibers

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