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:
-
- Argonne National Lab. (ANL), Argonne, IL (United States)
- 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}
}
Web of Science
Works referenced in this record:
Recherches sur la propagation des ondes électromagnétiques sinusoïdales dans les milieux stratifiés: Application aux couches minces
journal, January 1950
- Abelès, Florin
- Annales de Physique, Vol. 12, Issue 5
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
Neutron reflectivity study of the kinetics of polymer-polymer interface formation
journal, August 2008
- Béziel, W.; Fragneto, G.; Cousin, F.
- Physical Review E, Vol. 78, Issue 2
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
Structure Analysis by Small-Angle X-Ray and Neutron Scattering
book, January 1987
- Feigin, L. A.; Svergun, D. I.
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
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
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
Stochastic and fractal properties of silicon and porous silicon rough surfaces
journal, August 2013
- Hosseinabadi, S.; Rajabi, M.
- Journal of Physics: Conference Series, Vol. 454
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
X-ray specular-reflectivity study of the liquid-vapor density profile of
journal, October 1993
- Lurio, L. B.; Rabedeau, T. A.; Pershan, P. S.
- Physical Review B, Vol. 48, Issue 13
Correlated Roughness, Long-Range Correlations, and Dewetting of Thin Polymer Films
journal, June 1998
- Müller-Buschbaum, P.; Stamm, M.
- Macromolecules, Vol. 31, Issue 11
Skewed distributions generated by the normal kernel
journal, November 2003
- Nadarajah, Saralees; Kotz, Samuel
- Statistics & Probability Letters, Vol. 65, Issue 3
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
Caractérisation des surfaces par réflexion rasante de rayons X. Application à l'étude du polissage de quelques verres silicates
journal, January 1980
- Névot, L.; Croce, P.
- Revue de Physique Appliquée, Vol. 15, Issue 3
Solid-Supported Lipid Multilayers under High Hydrostatic Pressure
journal, March 2016
- Nowak, Benedikt; Paulus, Michael; Nase, Julia
- Langmuir, Vol. 32, Issue 11
Surface Studies of Solids by Total Reflection of X-Rays
journal, July 1954
- Parratt, L. G.
- Physical Review, Vol. 95, Issue 2
Analysis of small-angle scattering data from colloids and polymer solutions: modeling and least-squares fitting
journal, July 1997
- Pedersen, Jan Skov
- Advances in Colloid and Interface Science, Vol. 70
HIV Peptide-Mediated Binding Behaviors of Nanoparticles on a Lipid Membrane
journal, January 2017
- Phan, Minh Dinh; Kim, Heesuk; Lee, Songyi
- Langmuir, Vol. 33, Issue 10
Effects of Cardiolipin on Membrane Morphology: A Langmuir Monolayer Study
journal, April 2015
- Phan, Minh Dinh; Shin, Kwanwoo
- Biophysical Journal, Vol. 108, Issue 8
Non-Gaussian Roughness of Interfaces: Cumulant Expansion in X-ray and Neutron Reflectivity
journal, December 1997
- Press, W.; Schlomka, J. -P.; Tolan, M.
- Journal of Applied Crystallography, Vol. 30, Issue 6
Moments analysis of X-ray reflection profiles
journal, April 1996
- Rieutord, F.; Braslau, A.; Simon, R.
- Physica B: Condensed Matter, Vol. 221, Issue 1-4
X-ray and neutron reflectivity for the investigation of polymers
journal, January 1990
- Russell, T. P.
- Materials Science Reports, Vol. 5, Issue 4
Interaction of Water with Self-Assembled Monolayers: Neutron Reflectivity Measurements of the Water Density in the Interface Region
journal, March 2003
- Schwendel, D.; Hayashi, T.; Dahint, R.
- Langmuir, Vol. 19, Issue 6
Symmetric and asymmetric instability of buried polymer interfaces
journal, September 2012
- de Silva, J. P.; Cousin, F.; Wildes, A. R.
- Physical Review E, Vol. 86, Issue 3
X-ray scattering studies of surface roughness of GaAs/A1As multilayers
journal, April 1994
- Sinha, S. K.; Sanyal, M. K.; Satija, S. K.
- Physica B: Condensed Matter, Vol. 198, Issue 1-3
Interface structure of MBE-grown /Si/ layers on Si(111): Partially correlated roughness and diffuse x-ray scattering
journal, January 1996
- Stettner, J.; Schwalowsky, L.; Seeck, O. H.
- Physical Review B, Vol. 53, Issue 3
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
Assembling Bare Au Nanoparticles at Positively Charged Templates
journal, May 2016
- Wang, Wenjie; Zhang, Honghu; Kuzmenko, Ivan
- Scientific Reports, Vol. 6, Issue 1
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
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
Probing the Universal Critical-Adsorption Profile by Neutron Reflectometry
journal, September 1995
- Zhao, Hong; Penninckx-Sans, Anne; Lee, Lay-Theng
- Physical Review Letters, Vol. 75, Issue 10
Diffraction from non-Gaussian rough surfaces
journal, May 1997
- Zhao, Y. -P.; Wang, G. -C.; Lu, T. -M.
- Physical Review B, Vol. 55, Issue 20
Works referencing / citing this record:
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
An in situ shearing x-ray measurement system for exploring structures and dynamics at the solid–liquid interface
journal, January 2020
- Qiao, Yijun; Zhou, Hua; Jiang, Zhang
- Review of Scientific Instruments, Vol. 91, Issue 1