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Title: Generalized skew-symmetric interfacial probability distribution in reflectivity and small-angle scattering analysis

Abstract

Generalized skew-symmetric probability density functions are proposed to model asymmetric interfacial density distributions for the parameterization of any arbitrary density profiles in the `effective-density model'. The penetration of the densities into adjacent layers can be selectively controlled and parameterized. A continuous density profile is generated and discretized into many independent slices of very thin thickness with constant density values and sharp interfaces. The discretized profile can be used to calculate reflectivities via Parratt's recursive formula, or small-angle scattering via the concentric onion model that is also developed in this work.

Authors:
 [1]; ORCiD logo [2]
  1. Argonne National Lab. (ANL), Argonne, IL (United States)
  2. Argonne National Lab. (ANL), Argonne, IL (United States); Univ. of Chicago, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities Division
OSTI Identifier:
1426781
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: 50; Journal Issue: 6; Journal ID: ISSN 1600-5767
Publisher:
International Union of Crystallography
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; Asymmetric interface; Form factor; Interface density profile; Reflectivity; Roughness; Small-angle scattering

Citation Formats

Jiang, Zhang, and Chen, Wei. Generalized skew-symmetric interfacial probability distribution in reflectivity and small-angle scattering analysis. United States: N. p., 2017. Web. doi:10.1107/S1600576717013632.
Jiang, Zhang, & Chen, Wei. Generalized skew-symmetric interfacial probability distribution in reflectivity and small-angle scattering analysis. United States. https://doi.org/10.1107/S1600576717013632
Jiang, Zhang, and Chen, Wei. Fri . "Generalized skew-symmetric interfacial probability distribution in reflectivity and small-angle scattering analysis". United States. https://doi.org/10.1107/S1600576717013632. https://www.osti.gov/servlets/purl/1426781.
@article{osti_1426781,
title = {Generalized skew-symmetric interfacial probability distribution in reflectivity and small-angle scattering analysis},
author = {Jiang, Zhang and Chen, Wei},
abstractNote = {Generalized skew-symmetric probability density functions are proposed to model asymmetric interfacial density distributions for the parameterization of any arbitrary density profiles in the `effective-density model'. The penetration of the densities into adjacent layers can be selectively controlled and parameterized. A continuous density profile is generated and discretized into many independent slices of very thin thickness with constant density values and sharp interfaces. The discretized profile can be used to calculate reflectivities via Parratt's recursive formula, or small-angle scattering via the concentric onion model that is also developed in this work.},
doi = {10.1107/S1600576717013632},
journal = {Journal of Applied Crystallography (Online)},
number = 6,
volume = 50,
place = {United States},
year = {Fri Nov 03 00:00:00 EDT 2017},
month = {Fri Nov 03 00:00:00 EDT 2017}
}

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Cited by: 4 works
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Works referenced in this record:

Near-Surface and Bulk Behavior of Bicontinuous Microemulsions under High-Pressure Conditions
journal, July 2016

  • Berghaus, Melanie; Paulus, Michael; Salmen, Paul
  • The Journal of Physical Chemistry B, Vol. 120, Issue 29
  • DOI: 10.1021/acs.jpcb.6b05639

Neutron reflectivity study of the kinetics of polymer-polymer interface formation
journal, August 2008


Fractal surface finish
journal, January 1988


Standing-wave excited photoemission experiments on Si/MoSi2 multilayer mirrors in the soft x-ray regime: An analytical modeling approach
journal, December 2009

  • Döring, Sven; Schönbohm, Frank; Weier, Daniel
  • Journal of Applied Physics, Vol. 106, Issue 12
  • DOI: 10.1063/1.3272783

Structure Analysis by Small-Angle X-Ray and Neutron Scattering
book, January 1987


Skew-symmetric distributions generated by the distribution function of the normal distribution
journal, January 2007

  • Gómez, Héctor W.; Venegas, Osvaldo; Bolfarine, Heleno
  • Environmetrics, Vol. 18, Issue 4
  • DOI: 10.1002/env.817

Some skew-symmetric models
journal, January 2002

  • Gupta, A. K.; Chang, F. C.; Huang, W. J.
  • Random Operators and Stochastic Equations, Vol. 10, Issue 2
  • DOI: 10.1515/rose.2002.10.2.133

Neutron Reflectivity as Method to Study in-Situ Adsorption of Phospholipid Layers to Solid-Liquid Interfaces
journal, October 2004

  • Gutberlet, T.; Klösgen, B.; Krastev, R.
  • Advanced Engineering Materials, Vol. 6, Issue 10
  • DOI: 10.1002/adem.200400093

Stochastic and fractal properties of silicon and porous silicon rough surfaces
journal, August 2013


The Carbon Dioxide−Water Interface at Conditions of Gas Hydrate Formation
journal, January 2009

  • Lehmkühler, Felix; Paulus, Michael; Sternemann, Christian
  • Journal of the American Chemical Society, Vol. 131, Issue 2
  • DOI: 10.1021/ja806211r

X-ray specular-reflectivity study of the liquid-vapor density profile of He 4
journal, October 1993


Correlated Roughness, Long-Range Correlations, and Dewetting of Thin Polymer Films
journal, June 1998

  • Müller-Buschbaum, P.; Stamm, M.
  • Macromolecules, Vol. 31, Issue 11
  • DOI: 10.1021/ma971486f

Skewed distributions generated by the normal kernel
journal, November 2003


Structure and morphology of an organic/inorganic multilayer stack: An x-ray reflectivity study
journal, December 2011

  • Neuhold, Alfred; Fladischer, Stefanie; Mitsche, Stefan
  • Journal of Applied Physics, Vol. 110, Issue 11
  • DOI: 10.1063/1.3667171

Solid-Supported Lipid Multilayers under High Hydrostatic Pressure
journal, March 2016


Surface Studies of Solids by Total Reflection of X-Rays
journal, July 1954


Analysis of small-angle scattering data from colloids and polymer solutions: modeling and least-squares fitting
journal, July 1997


HIV Peptide-Mediated Binding Behaviors of Nanoparticles on a Lipid Membrane
journal, January 2017


Effects of Cardiolipin on Membrane Morphology: A Langmuir Monolayer Study
journal, April 2015


Non-Gaussian Roughness of Interfaces: Cumulant Expansion in X-ray and Neutron Reflectivity
journal, December 1997


Moments analysis of X-ray reflection profiles
journal, April 1996


X-ray and neutron reflectivity for the investigation of polymers
journal, January 1990


Symmetric and asymmetric instability of buried polymer interfaces
journal, September 2012


X-ray scattering studies of surface roughness of GaAs/A1As multilayers
journal, April 1994


Interface structure of MBE-grown CoSi 2 /Si/ CoSi 2 layers on Si(111): Partially correlated roughness and diffuse x-ray scattering
journal, January 1996


Effect of Surface Charge Distribution on the Adsorption Orientation of Proteins to Lipid Monolayers
journal, September 2010

  • Tiemeyer, Sebastian; Paulus, Michael; Tolan, Metin
  • Langmuir, Vol. 26, Issue 17
  • DOI: 10.1021/la102616h

Assembling Bare Au Nanoparticles at Positively Charged Templates
journal, May 2016

  • Wang, Wenjie; Zhang, Honghu; Kuzmenko, Ivan
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep26462

Manipulating thin polymer films by changing the pH value
journal, November 2011

  • Wieland, D. C. Florian; Degen, Patrick; Paulus, Michael
  • Journal of Applied Physics, Vol. 110, Issue 10
  • DOI: 10.1063/1.3661992

Adsorption of Poly(styrenesulfonate) to the Air Surface of Water by Neutron Reflectivity
journal, August 2000

  • Yim, H.; Kent, M.; Matheson, A.
  • Macromolecules, Vol. 33, Issue 16
  • DOI: 10.1021/ma000266q

Probing the Universal Critical-Adsorption Profile by Neutron Reflectometry
journal, September 1995


Diffraction from non-Gaussian rough surfaces
journal, May 1997


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Structure and dynamics of lipid membranes interacting with antivirulence end-phosphorylated polyethylene glycol block copolymers
journal, January 2020

  • Yu, Jing; Mao, Jun; Nagao, Michihiro
  • Soft Matter, Vol. 16, Issue 4
  • DOI: 10.1039/c9sm01642b

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journal, January 2020

  • Qiao, Yijun; Zhou, Hua; Jiang, Zhang
  • Review of Scientific Instruments, Vol. 91, Issue 1
  • DOI: 10.1063/1.5129819