scholarly journals A simple model for dynamic small-angle X-ray diffraction in colloidal crystals

2007 ◽  
Vol 40 (1) ◽  
pp. 144-150 ◽  
Author(s):  
Alex G. F. de Beer ◽  
Andrei V. Petukhov

A simple model is presented that allows calculation of the small-angle X-ray diffraction patterns of perfect colloidal crystals. The model is based on the Wentzel–Kramers–Brillouin approximation and permits a straightforward evaluation of multibeam interactions. Results are illustrated by several examples.

1999 ◽  
Vol 32 (6) ◽  
pp. 1069-1083 ◽  
Author(s):  
J. A. Elliott ◽  
S. Hanna

A model-independent maximum-entropy method is presented which will produce a structural model from small-angle X-ray diffraction data of disordered systems using no other prior information. In this respect, it differs from conventional maximum-entropy methods which assume the form of scattering entitiesa priori. The method is demonstrated using a number of different simulated diffraction patterns, and applied to real data obtained from perfluorinated ionomer membranes, in particular Nafion™, and a liquid crystalline copolymer of 1,4-oxybenzoate and 2,6-oxynaphthoate (B–N).


1967 ◽  
Vol 11 ◽  
pp. 332-338 ◽  
Author(s):  
Donald M. Koffman

AbstractAn X-ray small-angle scattering instrument is described which is used for recording X-ray diffraction patterns or small-angle X-ray scattering curves in an angular region very close to the direct beam. The measurement of X-ray intensity is accomplished with standard geiger or scintillation counter techniques. The instrument is designed for use with a spot-focus or vertical-line X-ray source, In essence, it is a multiple-reflection double-crystal diffractometer, based on a concept developed by Bonse and Hart, employing two grooved perfect germanium crystals arranged in the parallel position. Multiple diffraction from these crystals produces a monochromated X-ray beam which can be several millimeters wide while still exhibiting extremely high angular resolution. As a result, effective sample volumes can be employed with maximum volume-to-thickness ratios. The principal features of the instrument are discussed with emphasis on the advantages of this device over those employing complex slit systems and film-re cording techniques, Data are presented to illustrate the operation, intensity, and resolution of the unit.


2019 ◽  
Vol 16 (150) ◽  
pp. 20180692 ◽  
Author(s):  
Clemens F. Schaber ◽  
Silja Flenner ◽  
Anja Glisovic ◽  
Igor Krasnov ◽  
Martin Rosenthal ◽  
...  

When sitting and walking, the feet of wandering spiders reversibly attach to many surfaces without the use of gluey secretions. Responsible for the spiders' dry adhesion are the hairy attachment pads that are built of specially shaped cuticular hairs (setae) equipped with approximately 1 µm wide and 20 nm thick plate-like contact elements (spatulae) facing the substrate. Using synchrotron-based scanning nanofocus X-ray diffraction methods, combining wide-angle X-ray diffraction/scattering and small-angle X-ray scattering, allowed substantial quantitative information to be gained about the structure and materials of these fibrous adhesive structures with 200 nm resolution. The fibre diffraction patterns showed the crystalline chitin chains oriented along the long axis of the attachment setae and increased intensity of the chitin signal dorsally within the seta shaft. The small-angle scattering signals clearly indicated an angular shift by approximately 80° of the microtrich structures that branch off the bulk hair shaft and end as the adhesive contact elements in the tip region of the seta. The results reveal the specific structural arrangement and distribution of the chitin fibres within the attachment hair's cuticle preventing material failure by tensile reinforcement and proper distribution of stresses that arise upon attachment and detachment.


1989 ◽  
Vol 22 (1) ◽  
pp. 72-74 ◽  
Author(s):  
Y. Tajima ◽  
K. Okada ◽  
O. Yoshida ◽  
T. Seto ◽  
Y. Amemiya

Small-angle X-ray diffraction patterns from the anterior byssus retractor muscles of Mytilus edulis contracting tonically in response to stimulation with acetylcholine were recorded in a 30 s exposure with synchrotron radiation and a high-sensitivity X-ray area detector called an imaging plate. The 190 Å layer line from the thin filaments increased in intensity with increase in tonic tension up to 6 x 104 kg m−2. Above this value, the layer-line intensity remained almost constant and comparable to that for a contracting skeletal muscle, indicating that the same structural changes of the thin filaments occur in both muscles.


2002 ◽  
Vol 88 (20) ◽  
Author(s):  
A. V. Petukhov ◽  
D. G. A. L. Aarts ◽  
I. P. Dolbnya ◽  
E. H. A. de Hoog ◽  
K. Kassapidou ◽  
...  

1956 ◽  
Vol 2 (1) ◽  
pp. 55-69 ◽  
Author(s):  
Richard S. Bear ◽  
Cecily Cannan Selby

From analysis of x-ray diffraction patterns obtained with improved small-angle techniques has been derived the following description for the structure of the fibrils of the fibrous protein, paramyosin, obtained in this case from "white" portions of the adductor muscle of the clam, Venus mercenaria: 1. About 25 significantly different diffraction maxima have been resolved and found accounted for as (hk) reflections of a net whose cell elements are, for the dry material: a = 250 A, b = 720 A (fibril axis identity period), and γ = 90.5° (angle included between a and b axes). For rehydrated material a is larger (ca. 325 A), b is essentially unchanged, and γ is slightly larger. There remains an unresolved discrepancy between the electron-optically derived, cell's a dimension (193 A) and that here reported for dry samples. 2. The h = ±1 row lines are crossed on the diagrams (because γ is not 90°) and thus can be distinguished in spite of natural "rotation" of fibrils (within the massive fibrous specimens) about their commonly oriented axes. The observed reflections are then found to obey a selection rule which indicates that the net cell is non-primitive and contains 5 equivalent locations (nodes) arranged as shown in Fig. 5. The nodal distribution is the same as has been previously photographed electron-optically. 3. Analysis of reflection lengths indicates that the native fibrils are not noticeably ribbon-like, having dimensions normal to the ordered net layers approximating their width across the fibril in the plane of the net layers. Corresponding transverse, interlayer spacings (possibly ca. 100 A) have not been observed, however, and may be hidden in troublesome central scatter. 4. Since paramyosin's wide-angle diffraction is very probably of α-type, supercoiled α-helices must be involved according to current interpretations of α-diagrams. Physicochemical evidence suggests that cables of this type, ca. 1400 A in length, may extend over two cells. Of two possible nodal connections, a favored one is shown in Fig. 5 to join 5 nodes in this way. Considerations of space filling, of transverse distribution of small-angle x-ray scattering, and of nodal significance, suggest that the cable units may be further aggregated into supercables, essentially forming rather solid rods of ca. 100 A diameter. 5. An alternative interpretation of the paramyosin small-angle diffraction, in particular of the observed selection rule, would conclude that large particles are arranged in a helical way, with minimum helix diameter about 150 A (dry). The simplest (genetic) particle connection would have 5 particles in 2 coil turns along 720 A of fibril or helix axis. This view is distinctly different from the arrangement of "rods" in net-like layers as given above, even though the rods are said to be made of supercoils or cables. Reasons are given for preferring the net-of-rods explanation over the particulate-helix model. The helix- vs. true-net ambiguity arises whenever the two types of structure are conceivable, and decision between them is difficult on the basis of the diffraction data alone.


Soft Matter ◽  
2015 ◽  
Vol 11 (23) ◽  
pp. 4572-4575 ◽  
Author(s):  
H. Kikuchi ◽  
S. Izena ◽  
H. Higuchi ◽  
Y. Okumura ◽  
K. Higashiguchi

Ultra-small angle X-ray diffraction patterns of a polymer-stabilized blue phase liquid crystal and a possible three-dimensional giant polymer lattice with body-centered cubic O8− symmetry formed in it.


2003 ◽  
Vol 36 (3) ◽  
pp. 597-601 ◽  
Author(s):  
X. Xian ◽  
A.V. Petukhov ◽  
M. M. E. Snel ◽  
I.P. Dolbnya ◽  
D.G.A.L. Aarts ◽  
...  

Nature ◽  
1955 ◽  
Vol 175 (4462) ◽  
pp. 811-811 ◽  
Author(s):  
C. R. WORTHINGTON ◽  
S. G. TOMLIN

1997 ◽  
Vol 30 (5) ◽  
pp. 637-641 ◽  
Author(s):  
M. Megens ◽  
C. M. van Kats ◽  
P. Bösecke ◽  
W. L. Vos

Synchrotron small-angle X-ray scattering (SAXS) experiments have been performed at the ESRF on colloidal dispersions. The samples are optically multiply scattering and are aimed at so-called photonic applications. Scattering from dilute suspensions yields the particle form factor, which shows many oscillations. From these results, the radius, size distribution and information about the internal structure of the particles in situ can be determined, in contrast to most studies on colloids. Using the form factor, structure factors can be extracted from the diffraction patterns of the colloidal crystals. The structure factors clearly reveal sharp Bragg peaks. The crystal structure, lattice parameter and average orientations were determined as a function of height in sedimented samples. This provides important information for the interpretation of optical experiments.


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