Fluctuation X-ray scattering from nanorods in solution reveals weak temperature-dependent orientational ordering

Kurta, Ruslan P.; Wiegart, Lutz; Fluerasu, Andrei; Madsen, Anders

doi:10.1107/s2052252519005499

Cited by 5 publications

(8 citation statements)

References 51 publications

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“…The second type of problems is related to the quantitative description of the orientational correlation of particles. This includes both, the characterization of orientational distribution of particles in solutions [58,59] as well as the bond-orientational order in dense systems [12,16,17]. In the latter case, studies of the bond-orientational order necessarily include interference of the scattered X-rays between several particles [31,60], which can significantly complicate the analysis.…”

Section: Principles Of Axccamentioning

confidence: 99%

Angular X-ray Cross-Correlation Analysis (AXCCA): Basic Concepts and Recent Applications to Soft Matter and Nanomaterials

et al. 2019

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Angular X-ray cross-correlation analysis (AXCCA) is a technique which allows quantitative measurement of the angular anisotropy of X-ray diffraction patterns and provides insights into the orientational order in the system under investigation. This method is based on the evaluation of the angular cross-correlation function of the scattered intensity distribution on a two-dimensional (2D) detector and further averaging over many diffraction patterns for enhancement of the anisotropic signal. Over the last decade, AXCCA was successfully used to study the anisotropy in various soft matter systems, such as solutions of anisotropic particles, liquid crystals, colloidal crystals, superlattices composed by nanoparticles, etc. This review provides an introduction to the technique and gives a survey of the recent experimental work in which AXCCA in combination with micro- or nanofocused X-ray microscopy was used to study the orientational order in various soft matter systems.

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Section: Principles Of Axccamentioning

confidence: 99%

Angular X-ray Cross-Correlation Analysis (AXCCA): Basic Concepts and Recent Applications to Soft Matter and Nanomaterials

et al. 2019

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“…We note that in a non-XPCS context, reduced forms of Eq. 9 with consideration of only angular effect have been applied to discovery of local symmetries ( 16 , 17 ), ab initio structure determination ( 18 , 19 ), and investigation of orientational distribution ( 20 – 22 ).…”

Section: Angular-temporal Cross-correlationmentioning

confidence: 99%

Cross-correlation analysis of X-ray photon correlation spectroscopy to extract rotational diffusion coefficients

Donatelli

Sethian

2021

Proc. Natl. Acad. Sci. U.S.A.

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Coefficients for translational and rotational diffusion characterize the Brownian motion of particles. Emerging X-ray photon correlation spectroscopy (XPCS) experiments probe a broad range of length scales and time scales and are well-suited for investigation of Brownian motion. While methods for estimating the translational diffusion coefficients from XPCS are well-developed, there are no algorithms for measuring the rotational diffusion coefficients based on XPCS, even though the required raw data are accessible from such experiments. In this paper, we propose angular-temporal cross-correlation analysis of XPCS data and show that this information can be used to design a numerical algorithm (Multi-Tiered Estimation for Correlation Spectroscopy [MTECS]) for predicting the rotational diffusion coefficient utilizing the cross-correlation: This approach is applicable to other wavelengths beyond this regime. We verify the accuracy of this algorithmic approach across a range of simulated data.

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“…This method yields valuable new information on orientation and particle ordering by assuming a relationship between scattering anisotropy and the orientation distribution. XCCA requires highly resolved 2D scattering patterns that may be achieved with X-ray scattering but could be challenging for small-angle neutron scattering (Kurta et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

“…Thus, examination of each calculation method is necessary to gain a full understanding of anisotropy factor usage in the literature. The three anisotropy factor calculation methods considered here will be referred to as the cosine expansion (Hongladarom et al, 1996;Walker & Wagner, 1996;Wang et al, 2017), the Legendre expansion (sometimes called the order parameter) (Kurta et al, 2019;Maier & Saupe, 1959;Chatelain, 1955) and axial integration (Iwase et al, 2019;Andriano et al, 2020;Gazeau et al, 2002). The equations used to calculate the anisotropy factor with each of these methods are detailed in Section 2.6.…”

Section: Introductionmentioning

confidence: 99%

Anisotropy factors in small-angle scattering for dilute rigid-rod suspensions

Rooks,

Gilbert,

Porcar

et al. 2023

J Appl Cryst

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Alignment of anisotropic particles along specific orientations influences the mechanical and rheological properties of a material. Small-angle scattering techniques are widely used to probe this alignment through analysis of anisotropic two-dimensional scattering intensity patterns. The anisotropy factor is the simplest and most common quantitative parameter for describing scattering anisotropy, especially in systems containing rod-like particles, and there are several methods for calculating this factor. However, there has been no systematic study comparing these methods while also evaluating the limitations imposed by non-idealities from instrumentation or polydisperse morphology. Three of the most common methods for calculating an anisotropy factor are examined here and their effectiveness for describing the orientation of a theoretical cylinder is evaluated. It is found that the maximum theoretical value of 1 for the anisotropy factor is only accessible at certain values of scattering vector q. The analysis details recommendations for q-range selection and data binning, as these influence the calculations. The theoretical results are supported by experimental small-angle neutron scattering data for a wormlike micelle solution undergoing shear, where different calculation methods yield distinct quantifications of anisotropy.

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Fluctuation X-ray scattering from nanorods in solution reveals weak temperature-dependent orientational ordering

Cited by 5 publications

References 51 publications

Angular X-ray Cross-Correlation Analysis (AXCCA): Basic Concepts and Recent Applications to Soft Matter and Nanomaterials

Angular X-ray Cross-Correlation Analysis (AXCCA): Basic Concepts and Recent Applications to Soft Matter and Nanomaterials

Cross-correlation analysis of X-ray photon correlation spectroscopy to extract rotational diffusion coefficients

Anisotropy factors in small-angle scattering for dilute rigid-rod suspensions

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