Nanoscale structural order from the atomic pair distribution function (PDF): There's plenty of room in the middle

SJL Billinge - Journal of Solid State Chemistry, 2008 - Elsevier
… break down at the nanoscale, sometimes referred to as “the nanostructure problem”. We
describe here some emerging methods for studying nanoscale structure. We present some …

There's no place like real-space: elucidating size-dependent atomic structure of nanomaterials using pair distribution function analysis

TL Christiansen, SR Cooper, KMØ Jensen - Nanoscale Advances, 2020 - pubs.rsc.org
… as well as on developing new methods for pair distribution function analysis. … nanoscale
structural changes of small nanocrystals using total X-ray scattering and pair distribution function

Atomic-Scale Structure of Nanocrystals by High-Energy X-ray Diffraction and Atomic Pair Distribution Function Analysis:  Study of FexPd100-x (x = 0, 26, 28, 48) …

V Petkov, T Ohta, Y Hou, Y Ren - The Journal of Physical …, 2007 - ACS Publications
… We believe that it has the potential to become the “standard tool” for atomic-scale structure
determination that is highly needed in the rapidly developing field of nanoscience and …

Understanding the limits of pair-distribution functions for nanoscale correlation function measurement

JM Gibson - Journal of Physics: Condensed Matter, 2007 - iopscience.iop.org
… We explore the ability of the pair-distribution function (pdf) to accurately measure medium-range
correlation lengths in nanoscale crystalline materials. Through simple computer …

Study of short-range ordering in amorphous and nanocrystalline materials from laboratory based pair distribution function (LPDF)

RK Biswas, J Ghosh, M Kuttanellore - Transactions of the Indian …, 2020 - Taylor & Francis
… Determination of local atomic structure at nanoscale for both amorphous and nanocrystalline
… the local or short-range structural information. Pair distribution function (PDF) analysis is a …

Nanoscale structural analysis of ferroelectrics using pair distribution function

Y Yoneda - JSAP Review, 2023 - jstage.jst.go.jp
… local structural analysis in which the radial distribution functionstructural analysis to be
conducted easily using the PDF [5]. In … nanoscale structural analysis using PDFs to ferroelectrics. …

Atomic structure analysis at the nanoscale using the pair distribution function: simulation studies of simple elemental nanoparticles

K Mullen, V Krayzman, I Levin - Journal of Applied Crystallography, 2010 - journals.iucr.org
… The atomic pair distribution function (PDF) associated with an ensemble of nanoparticles
is often used to estimate their structural characteristics (Billinge & Kanatzidis, 2004; Billinge & …

Application of high-energy X-rays and Pair-Distribution-Function analysis to nano-scale structural studies in catalysis

PJ Chupas, KW Chapman, H Chen, CP Grey - Catalysis Today, 2009 - Elsevier
… on our ability to effectively probe these nano-scale structures. Therefore in addition to the …
X-rays in combination with Pair-Distribution-Function (PDF) analysis to study the structure of …

Deciphering the structure of heterogeneous catalysts across scales using pair distribution function analysis

NK Zimmerli, CR Müller, PM Abdala - Trends in Chemistry, 2022 - cell.com
… method to extract structural information spanning from the atomic to the nanoscale under in
situ … PDF to provide insight into the atomic-to-nanoscale structure of heterogeneous catalysts. …

Tracking Sub-Nano-Scale Structural Evolution in Zeolite Synthesis by In Situ High-Energy X-ray Total Scattering Measurement with Pair Distribution Function Analysis

A Minami, P Hu, Y Sada, H Yamada… - Journal of the …, 2022 - ACS Publications
… In this study, such sub-nano-scale structural evolution in the amorphous precursors is …
associated with the T–T 2 nd correlations in the ordered 6R and 8R structures (1–19 h, Figure 3c). …