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Title: Inverse transformation: unleashing spatially heterogeneous dynamics with an alternative approach to XPCS data analysis

Abstract

X-ray photon correlation spectroscopy (XPCS), an extension of dynamic light scattering (DLS) in the X-ray regime, detects temporal intensity fluctuations of coherent speckles and provides scattering-vector-dependent sample dynamics at length scales smaller than DLS. The penetrating power of X-rays enables XPCS to probe the dynamics in a broad array of materials, including polymers, glasses and metal alloys, where attempts to describe the dynamics with a simple exponential fit usually fail. In these cases, the prevailing XPCS data analysis approach employs stretched or compressed exponential decay functions (Kohlrausch functions), which implicitly assume homogeneous dynamics. This paper proposes an alternative analysis scheme based upon inverse Laplace or Gaussian transformation for elucidating heterogeneous distributions of dynamic time scales in XPCS, an approach analogous to the CONTIN algorithm widely accepted in the analysis of DLS from polydisperse and multimodal systems. In conclusion, using XPCS data measured from colloidal gels, it is demonstrated that the inverse transform approach reveals hidden multimodal dynamics in materials, unleashing the full potential of XPCS.

Authors:
 [1];  [1];  [2];  [1];  [1]
  1. Argonne National Lab. (ANL), Argonne, IL (United States)
  2. National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Vehicle Technologies Office (EE-3V); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1435948
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Applied Crystallography (Online)
Additional Journal Information:
Journal Name: Journal of Applied Crystallography (Online); Journal Volume: 51; Journal Issue: 1; Journal ID: ISSN 1600-5767
Publisher:
International Union of Crystallography
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CONTIN; MULTIQ; X-ray photon correlation spectroscopy; XPCS; heterogeneous dynamics; inverse transform analysis

Citation Formats

Andrews, Ross N., Narayanan, Suresh, Zhang, Fan, Kuzmenko, Ivan, and Ilavsky, Jan. Inverse transformation: unleashing spatially heterogeneous dynamics with an alternative approach to XPCS data analysis. United States: N. p., 2018. Web. doi:10.1107/s1600576717015795.
Andrews, Ross N., Narayanan, Suresh, Zhang, Fan, Kuzmenko, Ivan, & Ilavsky, Jan. Inverse transformation: unleashing spatially heterogeneous dynamics with an alternative approach to XPCS data analysis. United States. doi:10.1107/s1600576717015795.
Andrews, Ross N., Narayanan, Suresh, Zhang, Fan, Kuzmenko, Ivan, and Ilavsky, Jan. Thu . "Inverse transformation: unleashing spatially heterogeneous dynamics with an alternative approach to XPCS data analysis". United States. doi:10.1107/s1600576717015795. https://www.osti.gov/servlets/purl/1435948.
@article{osti_1435948,
title = {Inverse transformation: unleashing spatially heterogeneous dynamics with an alternative approach to XPCS data analysis},
author = {Andrews, Ross N. and Narayanan, Suresh and Zhang, Fan and Kuzmenko, Ivan and Ilavsky, Jan},
abstractNote = {X-ray photon correlation spectroscopy (XPCS), an extension of dynamic light scattering (DLS) in the X-ray regime, detects temporal intensity fluctuations of coherent speckles and provides scattering-vector-dependent sample dynamics at length scales smaller than DLS. The penetrating power of X-rays enables XPCS to probe the dynamics in a broad array of materials, including polymers, glasses and metal alloys, where attempts to describe the dynamics with a simple exponential fit usually fail. In these cases, the prevailing XPCS data analysis approach employs stretched or compressed exponential decay functions (Kohlrausch functions), which implicitly assume homogeneous dynamics. This paper proposes an alternative analysis scheme based upon inverse Laplace or Gaussian transformation for elucidating heterogeneous distributions of dynamic time scales in XPCS, an approach analogous to the CONTIN algorithm widely accepted in the analysis of DLS from polydisperse and multimodal systems. In conclusion, using XPCS data measured from colloidal gels, it is demonstrated that the inverse transform approach reveals hidden multimodal dynamics in materials, unleashing the full potential of XPCS.},
doi = {10.1107/s1600576717015795},
journal = {Journal of Applied Crystallography (Online)},
number = 1,
volume = 51,
place = {United States},
year = {2018},
month = {2}
}

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