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Lateral disorder in Langmuir monolayers: theoretical derivations and grazing-incidence X-ray diffraction

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Bibliographic Details
Title: Lateral disorder in Langmuir monolayers: theoretical derivations and grazing-incidence X-ray diffraction
Authors: Muftakhova, L. R., Nikolaev, K. V., Rogachev, A. V., Novikova, N. N., Ostrovskii, B. I., Yakunin, S. N.
Publication Year: 2025
Collection: ArXiv.org (Cornell University Library)
Subject Terms: Soft Condensed Matter, Disordered Systems and Neural Networks, Computational Physics
Description: Recent studies of the self-assembly of Langmuir monolayers have revealed novel forms of lateral molecular ordering. Such studies typically involve the use of grazing-incidence synchrotron radiation scattering, and the lateral order manifests itself as distinct diffraction patterns. The more intricate the molecular organization, the more complicated the corresponding diffraction pattern is. To the point where standard analysis, i.e., identifying peak positions and solving the crystal structure, is insufficient to describe the system. In such cases, a physics-based simulation of the diffraction is required. In this article, we present a versatile theoretical framework for simulating complex structural molecular ordering in Langmuir monolayers. We begin by applying the formalism to a simple case of solid-state monolayers and extend the analysis to describe the structural organization in the collapsed state. The applicability of the method is validated through comparison with experimental data collected at the bending magnet synchrotron beamline. ; This is an original manuscript consisting of 15 pages and 7 figures. To be submitted for publication in the (IUCr) Journal of Applied Crystallography
Document Type: text
Language: unknown
Relation: http://arxiv.org/abs/2509.20130
Availability: http://arxiv.org/abs/2509.20130
Accession Number: edsbas.586467F2
Database: BASE
Description
Abstract:Recent studies of the self-assembly of Langmuir monolayers have revealed novel forms of lateral molecular ordering. Such studies typically involve the use of grazing-incidence synchrotron radiation scattering, and the lateral order manifests itself as distinct diffraction patterns. The more intricate the molecular organization, the more complicated the corresponding diffraction pattern is. To the point where standard analysis, i.e., identifying peak positions and solving the crystal structure, is insufficient to describe the system. In such cases, a physics-based simulation of the diffraction is required. In this article, we present a versatile theoretical framework for simulating complex structural molecular ordering in Langmuir monolayers. We begin by applying the formalism to a simple case of solid-state monolayers and extend the analysis to describe the structural organization in the collapsed state. The applicability of the method is validated through comparison with experimental data collected at the bending magnet synchrotron beamline. ; This is an original manuscript consisting of 15 pages and 7 figures. To be submitted for publication in the (IUCr) Journal of Applied Crystallography