DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Unbiased particle conformation extraction from scattering spectra using orthonormal basis expansions

Journal Article · · Journal of Applied Crystallography (Online)

A strategy is outlined for quantitatively evaluating the particle density profiles from small-angle scattering spectra of dilute solutions. The approach employs an orthonormal basis function expansion method, enabling the determination of characteristic mass distributions in self-assembled structures without the need for a specific structural model. Through computational benchmarking, the efficacy of this approach is validated by effectively reconstructing the density profile of soft-ball systems with varying fuzziness from their scattering signatures. Further, the feasibility of the method is demonstrated by fitting small-angle neutron scattering data obtained from Pluronic L64 micelles at different temperatures. This proposed approach is both simple and analytical, eliminating the requirement for a presumptive structural model in scattering analysis. The new method could therefore facilitate quantitative descriptions of complex nanoscopic structures inherent to numerous soft-matter systems using small-angle scattering techniques.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Spallation Neutron Source (SNS)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
2311317
Journal Information:
Journal of Applied Crystallography (Online), Journal Name: Journal of Applied Crystallography (Online) Journal Issue: 1 Vol. 57; ISSN 1600-5767
Publisher:
International Union of CrystallographyCopyright Statement
Country of Publication:
United States
Language:
English

References (66)

Cooperativity during Melting and Molecular Exchange in Micelles with Crystalline Cores journal February 2019
A small-angle neutron scattering investigation of the structure of highly swollen block copolymer micelles journal November 2002
Temperature-dependent micellar structures in poly(styrene-b-isoprene) diblock copolymer solutions near the critical micelle temperature journal January 2004
Form factors of block copolymer micelles with spherical, ellipsoidal and cylindrical cores journal June 2000
Size and Shape of Micelles Studied by Means of SANS, PCS, and FCS journal March 2010
A comparison of three different methods for analysing small-angle scattering data journal October 1991
Model-Free Approach for Profiling of Polydisperse Soft Matter Using Small Angle Scattering journal July 2023
High resolution neutron scattering on ionic surfactant micelles : sds in water journal January 1985
Structure of (Deuterated PEO)−(PPO)−(Deuterated PEO) Block Copolymer Micelles As Determined by Small Angle Neutron Scattering journal March 1999
Direct Observation of the Formation of Surfactant Micelles under Nonisothermal Conditions by Synchrotron SAXS journal May 2013
Structure of pure SDS and DTAB micelles in brine determined by small-angle neutron scattering (SANS) journal January 1999
SANS from Pluronic P85 in d-water journal December 2010
Influence of Polymer Architecture on the Formation of Micelles of Miktoarm Star Copolymers Polyethylene/Poly(ethylenepropylene) in the Selective Solvent Decane journal November 1997
Structure of Micelles of a Nonionic Block Copolymer Determined by SANS and SAXS journal October 2011
Structural Investigation of Micelles Formed by an Amphiphilic PEP−PEO Block Copolymer in Water journal December 1997
Small angle neutron scattering study of sodium dodecyl sulfate micellar growth driven by addition of a hydrotropic salt journal January 2003
Thermoresponsive PS- b -PNIPAM- b -PS Micelles: Aggregation Behavior, Segmental Dynamics, and Thermal Response journal March 2010
Small-angle scattering: direct structure analysis journal November 1982
The extended Q -range small-angle neutron scattering diffractometer at the SNS journal July 2010
Small-Angle Neutron Scattering Study of the Structure of Superswollen Micelles Formed by a Highly Asymmetric Poly(oxybutylene)−Poly(oxyethylene) Diblock Copolymer in Aqueous Solution journal February 2004
Small-Angle Neutron Scattering Analysis of the Structure and Interaction of Triblock Copolymer Micelles in Aqueous Solution journal April 1998
An eigenfunction expansion method for the analysis of exponential decay curves journal April 1976
A new method for the evaluation of small-angle scattering data journal October 1977
Ordering Phenomena of Star Polymers in Solution by SANS journal June 1992
A Small-Angle Neutron Scattering (SANS) Contrast Variation Investigation of Aggregate Composition in Catanionic Surfactant Mixtures journal January 1996
Concentration-dependent structure of sodium octanoate micelles journal November 1982
Small-Angle Neutron Scattering Study of PEO−PPO−PEO Micelle Structure in the Unimer-to-Micelle Transition Region journal July 1997
Scattering Form Factor of Block Copolymer Micelles journal January 1996
Self-assembly of the triblock copolymer 17R4 poly(propylene oxide)14–poly(ethylene oxide)24–poly(propylene oxide)14 in D2O journal November 2014
Determining Gyration Tensor of Orienting Macromolecules through Their Scattering Signature journal June 2019
Revealing the Influence of Salts on the Hydration Structure of Ionic SDS Micelles by Contrast-Variation Small-Angle Neutron Scattering journal August 2020
PEO−PPO−PEO Block Copolymer Micelles in Aqueous Electrolyte Solutions:  Effect of Carbonate Anions and Temperature on the Micellar Structure and Interaction journal December 2000
Poly(methyl methacrylate)- block -poly( n -butyl methacrylate) Diblock Copolymer Micelles in an Ionic Liquid: Scaling of Core and Corona Size with Core Block Length journal April 2016
Comparison of iterative desmearing procedures for one-dimensional small-angle scattering data journal January 2011
Small Angle Neutron Scattering Studies of the Counterion Effects on the Molecular Conformation and Structure of Charged G4 PAMAM Dendrimers in Aqueous Solutions journal August 2007
Cryo-TEM and SANS Microstructural Study of Pluronic Polymer Solutions journal December 1995
Determination of size distribution from small-angle scattering data for systems with effective hard-sphere interactions journal August 1994
Estimation of the density distribution from small-angle scattering data journal May 2016
Describing small-angle scattering profiles by a limited set of intensities journal August 2022
Small Angle Neutron Scattering Studies of the Structure and Interaction in Micellar and Microemulsion Systems journal October 1986
Are Thermoresponsive Microgels Model Systems for Concentrated Colloidal Suspensions? A Rheology and Small-Angle Neutron Scattering Study journal August 2004
Electrostatic Swelling and Conformational Variation Observed in High-Generation Polyelectrolyte Dendrimers journal June 2010
Effect of Corona Block Length on the Structure and Chain Exchange Kinetics of Block Copolymer Micelles journal May 2018
Relationship between the microstructure and rheology of micellar solutions formed by a triblock copolymer surfactant journal August 1996
A new Guinier–Porod model journal May 2010
The suite of small-angle neutron scattering instruments at Oak Ridge National Laboratory journal February 2018
Exchange Kinetics for a Single Block Copolymer in Micelles of Two Different Sizes journal March 2018
Ordering phenomena of star polymer solutions approaching the Θ state journal November 1998
Micellar structure from comparison of X-ray and neutron small-angle scattering journal January 1985
Structure and Interaction of Lithium Dodecyl Sulfate Micelles in the Presence of Li-Specific Macrocyclic Cage: A Study by SANS journal October 1994
Determination of the regularization parameter in indirect-transform methods using perceptual criteria journal August 1992
Structure of Poly(styrene- b -ethylene- alt -propylene) Diblock Copolymer Micelles in Squalane journal October 2009
Asymmetric poly(ethylene-alt-propylene)-poly(ethylene oxide) micelles: A system with starlike morphology and interactions journal October 2007
Interference Phenomena of Slow Neutrons journal May 1947
Mantid—Data analysis and visualization package for neutron scattering and μ SR experiments
  • Arnold, O.; Bilheux, J. C.; Borreguero, J. M.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 764 https://doi.org/10.1016/j.nima.2014.07.029
journal November 2014
Determining population densities in bimodal micellar solutions using contrast-variation small angle neutron scattering journal November 2020
Colloidal nature of star polymer dilute and semidilute solutions journal May 1991
Nuclear Radiation Interactions book November 2014
A SANS Investigation of Reverse (Water-in-Oil) Micelles of Amphiphilic Block Copolymers journal October 1999
Water distributions in polystyrene-block-poly[styrene-g-poly(ethylene oxide)] block grafted copolymer system in aqueous solutions revealed by contrast variation small angle neutron scattering study journal October 2010
Thermodynamic analysis of polydispersity in ionic micellar systems and its effect on small-angle neutron scattering data treatment journal July 1988
Polyoxyalkylene Block Copolymers in Formamide−Water Mixed Solvents:  Micelle Formation and Structure Studied by Small-Angle Neutron Scattering journal April 2000
Micellization of amphiphilic diblock copolymers: Corona shape and mean-field to scaling crossover journal September 2000
Small-Angle Neutron Scattering Investigation of the Temperature-Dependent Aggregation Behavior of the Block Copolymer Pluronic L64 in Aqueous Solution journal November 2000
Small-angle scattering. Information content and error analysis journal April 1980
A Small-Angle Neutron and X-ray Contrast Variation Scattering Study of the Structure of Block Copolymer Micelles:  Corona Shape and Excluded Volume Interactions journal January 2003