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

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

Abstract

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.

Authors:
 [1]; ORCiD logo [2];  [3];  [4];  [5]; ORCiD logo [6]
  1. Univ. of California, San Diego, La Jolla, CA (United States). Dept. of Physics; Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
  2. European X-ray Free-Electron Laser (XFEL), Hamburg (Germany)
  3. Univ. of Tubingen (Germany). Inst. for Physical and Theoretical Chemistry; Univ. of Tubingen (Germany). Sensors & Analytics LISA+. Center for Light-Matter Interaction
  4. Univ. of Tubingen (Germany). Sensors & Analytics LISA+. Center for Light-Matter Interaction; Univ. of Tubingen (Germany). Inst. of Applied Physics
  5. Russian Academy of Sciences (RAS), Moscow (Russian Federation). Federal Scientific Research Center “Crystallography and Photonics”; Russian Academy of Sciences (RAS), Chernogolovka (Russian Federation). Inst. of Solid State Physics
  6. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany); National Research Nuclear Univ., Moscow (Russian Federation). MEPhI (Moscow Engineering Physics Institute)
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
OSTI Identifier:
1801495
Grant/Contract Number:  
SC0001805
Resource Type:
Accepted Manuscript
Journal Name:
Materials
Additional Journal Information:
Journal Volume: 12; Journal Issue: 21; Journal ID: ISSN 1996-1944
Publisher:
MDPI
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Chemistry; Materials Science; Metallurgy & Metallurgical Engineering; Physics

Citation Formats

Zaluzhnyy, Ivan, Kurta, Ruslan, Scheele, Marcus, Schreiber, Frank, Ostrovskii, Boris, and Vartanyants, Ivan. Angular X-ray Cross-Correlation Analysis (AXCCA): Basic Concepts and Recent Applications to Soft Matter and Nanomaterials. United States: N. p., 2019. Web. doi:10.3390/ma12213464.
Zaluzhnyy, Ivan, Kurta, Ruslan, Scheele, Marcus, Schreiber, Frank, Ostrovskii, Boris, & Vartanyants, Ivan. Angular X-ray Cross-Correlation Analysis (AXCCA): Basic Concepts and Recent Applications to Soft Matter and Nanomaterials. United States. https://doi.org/10.3390/ma12213464
Zaluzhnyy, Ivan, Kurta, Ruslan, Scheele, Marcus, Schreiber, Frank, Ostrovskii, Boris, and Vartanyants, Ivan. Wed . "Angular X-ray Cross-Correlation Analysis (AXCCA): Basic Concepts and Recent Applications to Soft Matter and Nanomaterials". United States. https://doi.org/10.3390/ma12213464. https://www.osti.gov/servlets/purl/1801495.
@article{osti_1801495,
title = {Angular X-ray Cross-Correlation Analysis (AXCCA): Basic Concepts and Recent Applications to Soft Matter and Nanomaterials},
author = {Zaluzhnyy, Ivan and Kurta, Ruslan and Scheele, Marcus and Schreiber, Frank and Ostrovskii, Boris and Vartanyants, Ivan},
abstractNote = {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.},
doi = {10.3390/ma12213464},
journal = {Materials},
number = 21,
volume = 12,
place = {United States},
year = {Wed Oct 23 00:00:00 EDT 2019},
month = {Wed Oct 23 00:00:00 EDT 2019}
}

Works referenced in this record:

Structure and fluctuations of smectic membranes
journal, February 2003

  • de Jeu, Wim H.; Ostrovskii, Boris I.; Shalaginov, Arcadi N.
  • Reviews of Modern Physics, Vol. 75, Issue 1
  • DOI: 10.1103/RevModPhys.75.181

On the metastability of the hexatic phase during the melting of two-dimensional charged particle solids
journal, February 2014

  • Derzsi, Aranka; Kovács, Anikó Zs.; Donkó, Zoltán
  • Physics of Plasmas, Vol. 21, Issue 2
  • DOI: 10.1063/1.4866019

Multidetector Scattering as a Probe of Local Structure in Disordered Phases
journal, May 1983


Order/disorder dynamics in a dodecanethiol-capped gold nanoparticles supracrystal by small-angle ultrafast electron diffraction
text, January 2015


Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens
journal, July 1999

  • Miao, Jianwei; Charalambous, Pambos; Kirz, Janos
  • Nature, Vol. 400, Issue 6742
  • DOI: 10.1038/22498

X-ray cross-correlation analysis and local symmetries of disordered systems: General theory
journal, September 2010


Heterogeneous local order in self-assembled nanoparticle films revealed by X-ray cross-correlations
journal, April 2018


Physical Properties of thin Substrate-Free Liquid-Crystal Films
journal, August 1995


Structural Defects in Periodic and Quasicrystalline Binary Nanocrystal Superlattices
journal, December 2011

  • Bodnarchuk, Maryna I.; Shevchenko, Elena V.; Talapin, Dmitri V.
  • Journal of the American Chemical Society, Vol. 133, Issue 51
  • DOI: 10.1021/ja207154v

Local structure of semicrystalline P3HT films probed by nanofocused coherent X-rays
journal, January 2015

  • Kurta, Ruslan P.; Grodd, Linda; Mikayelyan, Eduard
  • Physical Chemistry Chemical Physics, Vol. 17, Issue 11
  • DOI: 10.1039/C5CP00426H

Tunable Assembly of Colloidal Crystal Alloys Using Magnetic Nanoparticle Fluids
journal, February 2013

  • Yang, Ye; Gao, Lu; Lopez, Gabriel P.
  • ACS Nano, Vol. 7, Issue 3
  • DOI: 10.1021/nn400118e

Mesocrystals-Ordered Nanoparticle Superstructures
journal, August 2009


Mixing-induced anisotropic correlations in molecular crystalline systems
text, January 2012


Colloidal Switches by Electric and Magnetic Fields
text, January 2017


Theory of Two-Dimensional Melting.
journal, August 1978


Correlations in Scattered X-Ray Laser Pulses Reveal Nanoscale Structural Features of Viruses
journal, October 2017

  • Kurta, Ruslan P.; Donatelli, Jeffrey J.; Yoon, Chun Hong
  • Physical Review Letters, Vol. 119, Issue 15, Article No. 158102
  • DOI: 10.1103/PhysRevLett.119.158102

Interparticle Spacing and Structural Ordering in Superlattice PbS Nanocrystal Solids Undergoing Ligand Exchange
journal, December 2014

  • Weidman, Mark C.; Yager, Kevin G.; Tisdale, William A.
  • Chemistry of Materials, Vol. 27, Issue 2
  • DOI: 10.1021/cm503626s

Structural studies of the bond-orientational order and hexatic–smectic transition in liquid crystals of various compositions
journal, January 2017

  • Zaluzhnyy, I. A.; Kurta, R. P.; Sulyanova, E. A.
  • Soft Matter, Vol. 13, Issue 17
  • DOI: 10.1039/C7SM00343A

Favored local structures in amorphous colloidal packings measured by microbeam X-ray diffraction
journal, September 2017

  • Liu, Amelia C. Y.; Tabor, Rico F.; de Jonge, Martin D.
  • Proceedings of the National Academy of Sciences, Vol. 114, Issue 39
  • DOI: 10.1073/pnas.1707198114

The role of the coherence in the cross-correlation analysis of diffraction patterns from two-dimensional dense mono-disperse systems
journal, November 2015

  • Latychevskaia, T.; Mancini, G. F.; Carbone, F.
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep16573

Reconstruction of the Shapes of Gold Nanocrystals Using Coherent X-Ray Diffraction
journal, October 2001


Analysis of the shape of x-ray diffraction peaks originating from the hexatic phase of liquid crystal films
journal, April 2017

  • Zaluzhnyy, I. A.; Kurta, R. P.; Menushenkov, A. P.
  • Molecular Crystals and Liquid Crystals, Vol. 647, Issue 1
  • DOI: 10.1080/15421406.2017.1289582

Three-Dimensional Characterization of Noble-Metal Nanoparticles and their Assemblies by Electron Tomography
journal, August 2014

  • Bals, Sara; Goris, Bart; Liz-Marzán, Luis M.
  • Angewandte Chemie International Edition, Vol. 53, Issue 40
  • DOI: 10.1002/anie.201401059

Scaling of 6 n -Fold Bond-Orientational Order Parameters in a Hexatic Liquid-Crystal Thin Film
journal, June 1996


Kosterlitz–Thouless physics: a review of key issues
journal, January 2016


Spatially resolved x-ray studies of liquid crystals with strongly developed bond-orientational order
journal, April 2015


Ultrafast structural dynamics of photo-reactions observed by time-resolved x-ray cross-correlation analysis
text, January 2019

  • Vester, Peter; Zaluzhnyy, Ivan A.; Kurta, Ruslan P.
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2019-01056

Evidence of a first-order smectic -- hexatic transition and its proximity to tricritical point in smectic films
text, January 2018


The reconstruction of structure from electron micrographs of randomly oriented particles
journal, January 1980


Kinetics of the self-assembly of nanocrystal superlattices measured by real-time in situ X-ray scattering
journal, March 2016

  • Weidman, Mark C.; Smilgies, Detlef-M.; Tisdale, William A.
  • Nature Materials, Vol. 15, Issue 7
  • DOI: 10.1038/nmat4600

Decoding the Superlattice and Interface Structure of Truncate PbS Nanocrystal-Assembled Supercrystal and Associated Interaction Forces
journal, August 2014

  • Li, Ruipeng; Bian, Kaifu; Hanrath, Tobias
  • Journal of the American Chemical Society, Vol. 136, Issue 34
  • DOI: 10.1021/ja5057032

Hexatic ordering in liquid crystal films
journal, September 1989


Hexatic ordering in freely suspended liquid crystal films
journal, June 1989

  • Brock, J. D.; Noh, D. Y.; McClain, B. R.
  • Zeitschrift f�r Physik B Condensed Matter, Vol. 74, Issue 2
  • DOI: 10.1007/BF01307386

X-ray cross-correlation analysis of liquid crystal membranes in the vicinity of the hexatic-smectic phase transition
journal, October 2013


Characterization of the smectic-A-hexatic-B transition in 65OBC by adiabatic scanning calorimetry
journal, February 2005


Orientational Order in Self-Assembled Nanocrystal Superlattices
journal, January 2019

  • Fan, Zhaochuan; Grünwald, Michael
  • Journal of the American Chemical Society, Vol. 141, Issue 5
  • DOI: 10.1021/jacs.8b10752

On the interpretation of time-resolved anisotropic diffraction patterns
journal, November 2010


Self-Assembly Approaches to Three-Dimensional Photonic Crystals
journal, March 2001


Domain Wall Orientations in Ferroelectric Superlattices Probed with Synchrotron X-Ray Diffraction
journal, January 2018


X-Ray Observation of a Stacked Hexatic Liquid-Crystal B Phase
journal, April 1981


Reconstruction of the Shapes of Gold Nanocrystals Using Coherent X-Ray Diffraction
text, January 2001

  • Pfeifer, M. A.; Pitney, J. A.; Robinson, I. K.
  • The American Physical Society
  • DOI: 10.17877/de290r-11299

Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres
journal, May 2000

  • Blanco, Alvaro; Chomski, Emmanuel; Grabtchak, Serguei
  • Nature, Vol. 405, Issue 6785
  • DOI: 10.1038/35013024

Anisotropic Cracking of Nanocrystal Superlattices
journal, September 2017


Frank’s constant in the hexatic phase
journal, March 2007


Ultrafast structural dynamics of photo-reactions observed by time-resolved x-ray cross-correlation analysis
journal, March 2019

  • Vester, Peter; Zaluzhnyy, Ivan A.; Kurta, Ruslan P.
  • Structural Dynamics, Vol. 6, Issue 2
  • DOI: 10.1063/1.5086374

Two-Dimensional Melting under Quenched Disorder
journal, August 2013


Shape-Anisotropy Driven Symmetry Transformations in Nanocrystal Superlattice Polymorphs
journal, February 2011

  • Bian, Kaifu; Choi, Joshua J.; Kaushik, Ananth
  • ACS Nano, Vol. 5, Issue 4
  • DOI: 10.1021/nn103303q

Site-Specific Ligand Interactions Favor the Tetragonal Distortion of PbS Nanocrystal Superlattices
journal, August 2016

  • Novák, Jiřı́; Banerjee, Rupak; Kornowski, Andreas
  • ACS Applied Materials & Interfaces, Vol. 8, Issue 34
  • DOI: 10.1021/acsami.6b06989

Evidence of a first-order smectic-hexatic transition and its proximity to a tricritical point in smectic films
text, January 2018

  • Zaluzhnyy, Ivan A.; Kurta, Ruslan; Mukharamova, Nastasia
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2019-00094

Iterative phasing for fluctuation X-ray scattering
journal, August 2015

  • Donatelli, Jeffrey J.; Zwart, Peter H.; Sethian, James A.
  • Proceedings of the National Academy of Sciences, Vol. 112, Issue 33
  • DOI: 10.1073/pnas.1513738112

Multiple-wavelength resonant fluctuation x-ray scattering
journal, July 2016


Soft matter
journal, July 1992


X-ray cross-correlation analysis applied to disordered two-dimensional systems
journal, May 2012


Perfect X-ray focusing via fitting corrective glasses to aberrated optics
journal, March 2017

  • Seiboth, Frank; Schropp, Andreas; Scholz, Maria
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms14623

Self-Assembly of Colloidal Nanocrystals: From Intricate Structures to Functional Materials
journal, August 2016


11 nm hard X-ray focus from a large-aperture multilayer Laue lens
journal, December 2013

  • Huang, Xiaojing; Yan, Hanfei; Nazaretski, Evgeny
  • Scientific Reports, Vol. 3, Issue 1
  • DOI: 10.1038/srep03562

Colloidal crystallite suspensions studied by high pressure small angle x-ray scattering
journal, February 2016

  • Schroer, M. A.; Westermeier, F.; Lehmkühler, F.
  • The Journal of Chemical Physics, Vol. 144, Issue 8
  • DOI: 10.1063/1.4941563

X-ray cross correlation analysis uncovers hidden local symmetries in disordered matter
journal, June 2009

  • Wochner, Peter; Gutt, Christian; Autenrieth, Tina
  • Proceedings of the National Academy of Sciences, Vol. 106, Issue 28
  • DOI: 10.1073/pnas.0905337106

Quantifying Angular Correlations between the Atomic Lattice and the Superlattice of Nanocrystals Assembled with Directional Linking
journal, May 2017


Fluctuation X-ray scattering from nanorods in solution reveals weak temperature-dependent orientational ordering
journal, May 2019


Probing water with X-ray lasers
journal, March 2016


Calculation of Projected Bond-Orientational Order Parameters to Quantify Local Symmetries from Transmission Diffraction Data
journal, May 2016


A new class of tunable hypersonic phononic crystals based on polymer-tethered colloids
journal, September 2015

  • Alonso-Redondo, E.; Schmitt, M.; Urbach, Z.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms9309

X-Ray Study of the Hexatic- B -to-Smectic- A Phase Transition in Liquid-Crystal Films
journal, November 1984


Controlling Nanocrystal Superlattice Symmetry and Shape-Anisotropic Interactions through Variable Ligand Surface Coverage
journal, March 2011

  • Choi, Joshua J.; Bealing, Clive R.; Bian, Kaifu
  • Journal of the American Chemical Society, Vol. 133, Issue 9
  • DOI: 10.1021/ja110454b

Observation of speckle by diffraction with coherent X-rays
journal, August 1991

  • Sutton, M.; Mochrie, S. G. J.; Greytak, T.
  • Nature, Vol. 352, Issue 6336
  • DOI: 10.1038/352608a0

Systematic Mapping of Icosahedral Short-Range Order in a Melt-Spun Zr 36 Cu 64 Metallic Glass
journal, May 2013


Two-dimensional structure from random multiparticle X-ray scattering images using cross-correlations
journal, April 2013

  • Pedrini, B.; Menzel, A.; Guizar-Sicairos, M.
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms2622

Mixing-Induced Anisotropic Correlations in Molecular Crystalline Systems
journal, October 2012


Structure beyond pair correlations: X-ray cross-correlation from colloidal crystals
text, January 2016

  • Lehmkühler, Felix; Fischer, Birgit; Müller, Leonard
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2016-05837

Two-Dimensional Melting: From Liquid-Hexatic Coexistence to Continuous Transitions
journal, January 2015


Theory of Two-Dimensional Melting
journal, July 1978


Synthesizing skyrmion bound pairs in Fe-Gd thin films
journal, July 2016

  • Lee, J. C. T.; Chess, J. J.; Montoya, S. A.
  • Applied Physics Letters, Vol. 109, Issue 2
  • DOI: 10.1063/1.4955462

X-ray cross-correlation analysis of liquid crystal membranes in the vicinity of the hexatic-smectic phase transition
text, January 2013

  • Kurta, Ruslan; Ostrovskii, B. I.; Singer, A.
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/desy-2014-01725

X-Ray Cross-Correlation Analysis of Disordered Ensembles of Particles: Potentials and Limitations
journal, January 2013

  • Kurta, R. P.; Altarelli, M.; Vartanyants, I. A.
  • Advances in Condensed Matter Physics, Vol. 2013
  • DOI: 10.1155/2013/959835

Solution of the phase problem for coherent scattering from a disordered system of identical particles
journal, January 2013


Hydroxylation of the surface of PbS nanocrystals passivated with oleic acid
journal, May 2014


Mesocrystalline materials and the involvement of oriented attachment – a review
journal, January 2014

  • Bahrig, Lydia; Hickey, Stephen G.; Eychmüller, Alexander
  • CrystEngComm, Vol. 16, Issue 40
  • DOI: 10.1039/C4CE00882K

Bond-orientational order in liquids and glasses
journal, July 1983

  • Steinhardt, Paul J.; Nelson, David R.; Ronchetti, Marco
  • Physical Review B, Vol. 28, Issue 2
  • DOI: 10.1103/PhysRevB.28.784

Colloidal Switches by Electric and Magnetic Fields
journal, May 2017

  • Demirörs, Ahmet Faik; Beltramo, Peter J.; Vutukuri, Hanumantha Rao
  • ACS Applied Materials & Interfaces, Vol. 9, Issue 20
  • DOI: 10.1021/acsami.7b02619

Multiple-Step Melting in Two-Dimensional Hexatic Liquid-Crystal Films
journal, May 1998


Order/Disorder Dynamics in a Dodecanethiol-Capped Gold Nanoparticles Supracrystal by Small-Angle Ultrafast Electron Diffraction
journal, March 2016


Large-Area Electric-Field-Induced Colloidal Single Crystals for Photonic Applications
journal, April 2004

  • Yethiraj, A.; Thijssen, J. H. J.; Wouterse, A.
  • Advanced Materials, Vol. 16, Issue 7
  • DOI: 10.1002/adma.200306192

Interconnection of Nanoparticles within 2D Superlattices of PbS/Oleic Acid Thin Films
journal, March 2014

  • Simon, Paul; Bahrig, Lydia; Baburin, Igor A.
  • Advanced Materials, Vol. 26, Issue 19
  • DOI: 10.1002/adma.201305667

Evidence of a first-order smectic-hexatic transition and its proximity to a tricritical point in smectic films
journal, November 2018


Toward Conductive Mesocrystalline Assemblies: PbS Nanocrystals Cross-Linked with Tetrathiafulvalene Dicarboxylate
journal, November 2015


Hexatic Order and Liquid Density Fluctuations
journal, November 1984


Structural properties of π-π conjugated network in polymer thin films studied by x-ray cross-correlation analysis
journal, April 2014


Orientational and positional order in a tilted hexatic liquid-crystal phase
journal, July 1986


Analysis of the shape of x-ray diffraction peaks originating from the hexatic phase of liquid crystal films
text, January 2017

  • Zaluzhnyy, Ivan; Kurta, Ruslan; Menushenkov, Alexey
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2017-00925

Diffraction Patterns from Thin Hexatic Films
journal, December 1988


Oriented Ensembles in Ultrafast Electron Diffraction
journal, June 2006


Hard-X-Ray Lensless Imaging of Extended Objects
journal, January 2007


Prospects of Colloidal Nanocrystals for Electronic and Optoelectronic Applications
journal, January 2010

  • Talapin, Dmitri V.; Lee, Jong-Soo; Kovalenko, Maksym V.
  • Chemical Reviews, Vol. 110, Issue 1
  • DOI: 10.1021/cr900137k

On the metastability of the hexatic phase during the melting of two-dimensional charged particle solids
text, January 2013


Determination of Macromolecular Structure in Solution by Spatial Correlation of Scattering Fluctuations
journal, September 1977


Soft Matter (Nobel Lecture)
journal, July 1992

  • de Gennes, Pierre-Gilles
  • Angewandte Chemie International Edition in English, Vol. 31, Issue 7
  • DOI: 10.1002/anie.199208421

Three-Dimensional Characterization of Noble-Metal Nanoparticles and their Assemblies by Electron Tomography
journal, August 2014

  • Bals, Sara; Goris, Bart; Liz-Marzán, Luis M.
  • Angewandte Chemie International Edition, Vol. 53, Issue 40
  • DOI: 10.1002/anie.201401059

Oriented Ensembles in Ultrafast Electron Diffraction
journal, June 2006


Revealing Grain Boundaries and Defect Formation in Nanocrystal Superlattices by Nanodiffraction
journal, November 2019

  • Mukharamova, Nastasia; Lapkin, Dmitry; Zaluzhnyy, Ivan A.
  • Small, Vol. 15, Issue 50
  • DOI: 10.1002/smll.201904954

The reconstruction of structure from electron micrographs of randomly oriented particles
journal, January 1980


Toward Conductive Mesocrystalline Assemblies: PbS Nanocrystals Cross-Linked with Tetrathiafulvalene Dicarboxylate
journal, November 2015


Self-Assembly of Colloidal Nanocrystals: From Intricate Structures to Functional Materials
journal, August 2016


Anisotropic Cracking of Nanocrystal Superlattices
journal, September 2017


Site-Specific Ligand Interactions Favor the Tetragonal Distortion of PbS Nanocrystal Superlattices
journal, August 2016

  • Novák, Jiřı́; Banerjee, Rupak; Kornowski, Andreas
  • ACS Applied Materials & Interfaces, Vol. 8, Issue 34
  • DOI: 10.1021/acsami.6b06989

Colloidal Switches by Electric and Magnetic Fields
journal, May 2017

  • Demirörs, Ahmet Faik; Beltramo, Peter J.; Vutukuri, Hanumantha Rao
  • ACS Applied Materials & Interfaces, Vol. 9, Issue 20
  • DOI: 10.1021/acsami.7b02619

Prospects of Colloidal Nanocrystals for Electronic and Optoelectronic Applications
journal, January 2010

  • Talapin, Dmitri V.; Lee, Jong-Soo; Kovalenko, Maksym V.
  • Chemical Reviews, Vol. 110, Issue 1
  • DOI: 10.1021/cr900137k

Controlling Nanocrystal Superlattice Symmetry and Shape-Anisotropic Interactions through Variable Ligand Surface Coverage
journal, March 2011

  • Choi, Joshua J.; Bealing, Clive R.; Bian, Kaifu
  • Journal of the American Chemical Society, Vol. 133, Issue 9
  • DOI: 10.1021/ja110454b

Structural Defects in Periodic and Quasicrystalline Binary Nanocrystal Superlattices
journal, December 2011

  • Bodnarchuk, Maryna I.; Shevchenko, Elena V.; Talapin, Dmitri V.
  • Journal of the American Chemical Society, Vol. 133, Issue 51
  • DOI: 10.1021/ja207154v

Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens
journal, July 1999

  • Miao, Jianwei; Charalambous, Pambos; Kirz, Janos
  • Nature, Vol. 400, Issue 6742
  • DOI: 10.1038/22498

Observation of speckle by diffraction with coherent X-rays
journal, August 1991

  • Sutton, M.; Mochrie, S. G. J.; Greytak, T.
  • Nature, Vol. 352, Issue 6336
  • DOI: 10.1038/352608a0

Perfect X-ray focusing via fitting corrective glasses to aberrated optics
journal, March 2017

  • Seiboth, Frank; Schropp, Andreas; Scholz, Maria
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms14623

Two-dimensional structure from random multiparticle X-ray scattering images using cross-correlations
journal, April 2013

  • Pedrini, B.; Menzel, A.; Guizar-Sicairos, M.
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms2622

Kinetics of the self-assembly of nanocrystal superlattices measured by real-time in situ X-ray scattering
journal, March 2016

  • Weidman, Mark C.; Smilgies, Detlef-M.; Tisdale, William A.
  • Nature Materials, Vol. 15, Issue 7
  • DOI: 10.1038/nmat4600

The role of the coherence in the cross-correlation analysis of diffraction patterns from two-dimensional dense mono-disperse systems
journal, November 2015

  • Latychevskaia, T.; Mancini, G. F.; Carbone, F.
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep16573

Coupled organic–inorganic nanostructures (COIN)
journal, January 2015

  • Scheele, M.; Brütting, W.; Schreiber, F.
  • Physical Chemistry Chemical Physics, Vol. 17, Issue 1
  • DOI: 10.1039/c4cp03094j

Nano-beam X-ray microscopy of dried colloidal films
journal, January 2015

  • Schroer, Martin A.; Gutt, Christian; Lehmkühler, Felix
  • Soft Matter, Vol. 11, Issue 27
  • DOI: 10.1039/c5sm00609k

On the metastability of the hexatic phase during the melting of two-dimensional charged particle solids
journal, February 2014

  • Derzsi, Aranka; Kovács, Anikó Zs.; Donkó, Zoltán
  • Physics of Plasmas, Vol. 21, Issue 2
  • DOI: 10.1063/1.4866019

Synthesizing skyrmion bound pairs in Fe-Gd thin films
journal, July 2016

  • Lee, J. C. T.; Chess, J. J.; Montoya, S. A.
  • Applied Physics Letters, Vol. 109, Issue 2
  • DOI: 10.1063/1.4955462

Iterative phasing for fluctuation X-ray scattering
journal, August 2015

  • Donatelli, Jeffrey J.; Zwart, Peter H.; Sethian, James A.
  • Proceedings of the National Academy of Sciences, Vol. 112, Issue 33
  • DOI: 10.1073/pnas.1513738112

Hexatic ordering in liquid crystal films
journal, September 1989


The chronic leukemias
journal, May 1983


Kosterlitz–Thouless physics: a review of key issues
journal, January 2016


Multiple-wavelength resonant fluctuation x-ray scattering
journal, July 2016


On the interpretation of time-resolved anisotropic diffraction patterns
journal, November 2010


Structural properties of π-π conjugated network in polymer thin films studied by x-ray cross-correlation analysis
journal, April 2014


Fluid, hexatic, and crystal phases in terephthal-bis-(4 n )-alkylanilines
journal, September 1989


Beyond small-angle x-ray scattering: Exploiting angular correlations
journal, May 2010


Landau theory for smectic- A –hexatic- B coexistence in smectic films
journal, August 2019


Characteristics of angular cross correlations studied by light scattering from two-dimensional microsphere films
journal, July 2014


Direct reconstruction of the two-dimensional pair distribution function in partially ordered systems with angular correlations
journal, September 2016


Anticorrelations in Light Scattered by Nonspherical Particles
journal, October 1979


Multicriticality in Hexatic Liquid Crystals
journal, August 1986


Harmonics of orientational order in liquid crystals
journal, February 1988


Rapid Roughening in Thin Film Growth of an Organic Semiconductor (Diindenoperylene)
journal, January 2003


Structure beyond pair correlations: X-ray cross-correlation from colloidal crystals
journal, November 2016

  • Lehmkühler, Felix; Fischer, Birgit; Müller, Leonard
  • Journal of Applied Crystallography, Vol. 49, Issue 6
  • DOI: 10.1107/s1600576716017313

Orientational order of liquids and glasses via fluctuation diffraction
journal, January 2017


Hydroxylation of the surface of PbS nanocrystals passivated with oleic acid
journal, May 2014


Multiple-Step Melting in Two-Dimensional Hexatic Liquid-Crystal Films
journal, May 1998


X-Ray Cross-Correlation Analysis of Disordered Ensembles of Particles: Potentials and Limitations
journal, January 2013

  • Kurta, R. P.; Altarelli, M.; Vartanyants, I. A.
  • Advances in Condensed Matter Physics, Vol. 2013
  • DOI: 10.1155/2013/959835

X-ray cross-correlation analysis of liquid crystal membranes in the vicinity of the hexatic-smectic phase transition
text, January 2013

  • Kurta, Ruslan; Ostrovskii, B. I.; Singer, A.
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/desy-2014-01725

Analysis of the shape of x-ray diffraction peaks originating from the hexatic phase of liquid crystal films
text, January 2017

  • Zaluzhnyy, Ivan; Kurta, Ruslan; Menushenkov, Alexey
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2017-00925

Structure Studies of the Bond-Orientational order and the hexatic-smectic transition in liquid crystals of various compositions
text, January 2017

  • Zaluzhnyy, Ivan; Kurta, Ruslan; Sulyanova, Elena
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2017-01684

Quantifying Angular Correlations between the Atomic Lattice and the Superlattice of Nanocrystals Assembled with Directional Linking
text, January 2017

  • Zaluzhnyy, Ivan; Kurta, Ruslan; Andre, Alexander
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2017-05074

Heterogeneous local order in self-assembled nanoparticle films revealed by X-ray Cross Corelation
text, January 2018

  • Lehmkühler, Felix; Schulz, Florian; Schroer, Martin
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2018-01633

Evidence of a first-order smectic-hexatic transition and its proximity to a tricritical point in smectic films
text, January 2018

  • Zaluzhnyy, Ivan A.; Kurta, Ruslan; Mukharamova, Nastasia
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2019-00094

Ultrafast structural dynamics of photo-reactions observed by time-resolved x-ray cross-correlation analysis
text, January 2019

  • Vester, Peter; Zaluzhnyy, Ivan A.; Kurta, Ruslan P.
  • Deutsches Elektronen-Synchrotron, DESY, Hamburg
  • DOI: 10.3204/pubdb-2019-01056

Two-dimensional melting under quenched disorder
text, January 2013


Local structure of semicrystalline P3HT films probed by nanofocused coherent x-rays
text, January 2014


Spatially resolved x-ray studies of liquid crystals with strongly developed bond-orientational order
text, January 2014


Order/disorder dynamics in a dodecanethiol-capped gold nanoparticles supracrystal by small-angle ultrafast electron diffraction
text, January 2015


Works referencing / citing this record: