Scattering from cylinders with globular end-caps

Abstract

The scattering function and the radius of gyration of a cylinder with globular end‐caps (a barbell) are presented and discussed. The radius of the end‐caps is restricted to be bigger than or equal to that of the cylinder; hence the model is a generalization of the scattering function of a cylinder with hemispherical end‐caps. It is argued that the cylinder with globular end‐caps is a physically more representative model for rod‐like micelles. Moreover, the scattering functions of the simple sphere and the dumbbell are found to be special cases of the scattering function of the barbell. Numerical examples of the scattering curves and their pair distance distribution functions are presented.

Characterization of colloidal structures during intestinal lipolysis using small-angle neutron scattering

“…The simulated fed state bile micelle scattering data were fit to three different models, the cylindrical rod-like model [41], the round capped cylinder [42, 43], and the spheroid model [44], considering their use in the literature for such micellar systems [10–18]. Data obtained from samples prepared at 100% D 2 O were used for model fitting, as they provide the greatest neutron contrast.…”

Prescribed nanoparticle cluster architectures and low-dimensional arrays built using octahedral DNA origami frames

“…Such structure factor can be reasonably well described (Figure 7C, blue curve) by dumbbell model 50,51 with functional form S( q )~sin(d q )/d q , where d is a distance between the NP centers, thus, indicating scattering signature of the NP pairs. The flexibility of 1D array at the points of octahedron attachment to NPs and the large angle over which the attachment can occur, contribute to the non-collinearity of 1D array.…”

Redox-Dependent Domain Rearrangement of Protein Disulfide Isomerase Coupled with Exposure of Its Substrate-Binding Hydrophobic Surface

“…In the Guinier plot for a dumbbell-shaped molecule comprising two globular domains with closely similar structures and sizes such as a-b or b′-a′, there are two regions to be approximated by straight lines. 28 The slope in the conventional Guinier region gives R gmol of the whole molecule as described above, and that of the second straight region in the high scattering-angle gives an averaged radius of gyration of the globular domains (R gdom ).…”

“…The calculated d dom of the b′-a′ is increased by 5 Å under the oxidizing condition, while the d dom of the b′-a′ red is close to those of the b′-a′ region in the crystal structure of yeast PDI as well as those of the a-b oxi and the a-b red . Based on the theoretical scattering curves from dumbbell-shaped particles with various structural dimensions, 28 the increase in the d dom reflects the separation of the dumbbell spheres and/or the swell of the connector region.…”