Elastic scattering from cubic lattice systems with paracrystalline distortion

Matsuoka, Hideki; Tanaka, Hideaki; Hashimoto, Takeji; Ise, Norio

doi:10.1103/physrevb.36.1754

Cited by 131 publications

(153 citation statements)

References 32 publications

Supporting

Mentioning

148

Contrasting

Unclassified

Order By: Relevance

“…The peak sharpness correlates with regularity of the packing of spherical microdomains. To quantify the degree of the packing regularity, we calculated the model scattering function based on the bcc lattice by following a similar procedure [6,15,16]. The solid curves are the results of the calculation by appropriately adjusting the structural parameters as mentioned above where d denotes, in this particular case for the bcc lattice, the Bragg spacing of the (110) plane giving rise to the first-order peak of the bcc lattice.…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Spontaneous Enhancement of Packing Regularity of Spherical Microdomains in the Body-Centered Cubic Lattice upon Uniaxial Stretching of Elastomeric Triblock Copolymers

et al. 2010

View full text Add to dashboard Cite

Block copolymers forming glassy spheres in the matrix of rubbery chains can exhibit elastomeric properties. It is well known that the spherical microdomains are arranged in the body-center cubic (bcc) lattice. However, recently, we have found packing in the face-centered cubic (fcc) lattice, which is easily transformed into the bcc lattice upon uniaxial stretching. In the same time, the packing regularity of the spheres in the bcc lattice was found to be enhanced for samples completely recovered from the stretched state. This reminds us that a cycle of stretching-and-releasing plays an important role from analogy of densification of the packing in granules upon shaking. In the current paper, we quantify the enhancement of packing regularity of spherical microdomains in the bcc lattice upon uniaxial stretching of the same elastomeric triblock copolymer as used in our previous work by conducting small-angle X-ray scattering (SAXS) measurements using high brilliant synchrotron radiation. Isotropically circular rings of the lattice peaks observed for the unstretched sample turned into deformed ellipsoidal rings upon the uniaxial stretching, with sharpening of the peaks in the direction parallel to the stretching direction and almost disappearing of the peaks in the perpendicular direction. By quantitatively analyzing the SAXS results, it was found that the packing regularity of the spherical microdomains was OPEN ACCESSPolymers 2011, 3 37 enhanced in the parallel direction while it was spoiled in the perpendicular direction under the stretched state. The enhanced regularity of packing was unchanged even if the stretching load was completely removed.

show abstract

Section: Resultsmentioning

confidence: 99%

“…It is needless to say that future work should be carried out to reveal the mechanism of the enhancement of the packing regularity upon the uniaxial stretching. the scattering intensity I(q) from microphase-separated block copolymers can be formulated as follows [15,16]:…”

Section: Discussionmentioning

confidence: 99%

Spontaneous Enhancement of Packing Regularity of Spherical Microdomains in the Body-Centered Cubic Lattice upon Uniaxial Stretching of Elastomeric Triblock Copolymers

et al. 2010

View full text Add to dashboard Cite

show abstract

“…The q-profile was reproduced by the paracrystal model for a spherical microdomain with bodycentered cubic (BCC) symmetry (Matsuoka et al, 1987;Matsuoka et al, 1990). To obtain a form factor P(q), we employed spherical micelles, where the PS block chains, which have a radically activated growing chain end, emanate from the PMMA core.…”

Section: Discussionmentioning

confidence: 99%

In situ and time-resolved ultra small-angle neutron scattering observation on growing poly(methyl methacrylate)-block-polystyrene via reversible addition–fragmentation chain transfer living radical polymerization

et al. 2007

Self Cite

View full text Add to dashboard Cite

Reversible addition–fragmentation chain transfer (RAFT) living radical polymerization of poly(methyl methacrylate)‐block‐polystyrene (PMMA‐b‐PS) was investigated by a combined method of gel permeation chromatography (GPC) and in situ and time‐resolved ultra small‐angle neutron scattering (tr‐USANS) measurements. GPC enables us to examine a growing single molecule as a function of polymerization time, with respect to monomer conversion, molecular weight (Mn) and polydispersity index (Mw/Mn) of PMMA‐b‐PS. On the other hand, tr‐USANS, observing in meso‐length scales from nm to µm, reveals polymerization‐induced molecular self‐assembly, such as microphase separation by PMMA‐b‐PS or macrophase separation between PMMA‐b‐PS and homo‐polystyrene (by‐product). By combining these two experimental methods, we elucidated that RAFT living polymerization was retarded by micro‐ and macrophase separations.

show abstract

“…In Figure 2, the solid curve is the results of the model calculation for the spherical particle, but not only the form factor, but also the lattice factor of BCC (body-centered cubic) is taken into account. The full equation is as follows [11][12][13][14]: Figure 1. pH-dependence of SAXS profiles for an apoferritin aqueous solution.…”

Section: Nanoparticles With a Narrow Size Distributionmentioning

confidence: 99%

SAXS Evaluation of Size Distribution for Nanoparticles

Sakurai¹

2017

X-Ray Scattering

View full text Add to dashboard Cite

Size distribution is an important structural aspect in order to rationalize relationship between structure and property of materials utilizing polydisperse nanoparticles. One may come to mind the use of dynamic light scattering (DLS) for the characterization of the size distribution of particles. However, only solution samples can be analyzed and even for those, the solution should be transparent or translucent because of using visible light. It is needless to say that solid samples are out of range. Furthermore, the size distribution only in the range of several tens of nanometers can be characterized, so DLS is useless for particles in the range of several nanometers. Therefore, the small-angle X-ray scattering (SAXS) technique is much superior when considering the determination of the size distribution in several nanometers length scale for opaque solutions and for solid specimens. Furthermore, the SAXS technique is applicable not only for the spherical particle but also for platelet (lamellar) and rod-like (cylindrical) particles. In this chapter, we focus on the form factor of a variety of nanostructures (spheres, prolates, core-shell spheres, core-shell cylinders and lamellae). Also getting started with a monodisperse distribution of the size of the nanostructure, to unimodal distribution with a narrow standard deviation or wide-spreading distribution and finally to the discrete distribution can be evaluated by the computational parameter fitting to the experimentally obtained SAXS profile. In particular, for systems forming complicated aggregations, this methodology is useful. Not only the size distribution of 'a bunch of grapes' but also the size distribution of all 'grains of grapes in the bunch' can be evaluated according to this methodology. This is very much contrasted to the case of the DLS technique by which only 'a bunch of grapes' is analyzed but 'grains of grapes in the bunch' cannot be. It is because the DLS technique in principle evaluates diffusion constants of particles and all of the grains in the same bunch of grapes diffuse as a whole. Thus, the methodology is important to highlight versatility and diversity in real materials, especially in soft matter, both in the liquid and in the solid states.

show abstract

Elastic scattering from cubic lattice systems with paracrystalline distortion

Cited by 131 publications

References 32 publications

Spontaneous Enhancement of Packing Regularity of Spherical Microdomains in the Body-Centered Cubic Lattice upon Uniaxial Stretching of Elastomeric Triblock Copolymers

Spontaneous Enhancement of Packing Regularity of Spherical Microdomains in the Body-Centered Cubic Lattice upon Uniaxial Stretching of Elastomeric Triblock Copolymers

In situ and time-resolved ultra small-angle neutron scattering observation on growing poly(methyl methacrylate)-block-polystyrene via reversible addition–fragmentation chain transfer living radical polymerization

SAXS Evaluation of Size Distribution for Nanoparticles

Contact Info

Product

Resources

About