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

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Auteurs principaux: Muftakhova, L. R., Nikolaev, K. V., Rogachev, A. V., Novikova, N. N., Ostrovskii, B. I., Yakunin, S. N.
Format: Preprint
Publié: 2025
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author Muftakhova, L. R.
Nikolaev, K. V.
Rogachev, A. V.
Novikova, N. N.
Ostrovskii, B. I.
Yakunin, S. N.
author_facet Muftakhova, L. R.
Nikolaev, K. V.
Rogachev, A. V.
Novikova, N. N.
Ostrovskii, B. I.
Yakunin, S. N.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2509_20130
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Lateral disorder in Langmuir monolayers: theoretical derivations and grazing-incidence X-ray diffraction
Muftakhova, L. R.
Nikolaev, K. V.
Rogachev, A. V.
Novikova, N. N.
Ostrovskii, B. I.
Yakunin, S. N.
Soft Condensed Matter
Disordered Systems and Neural Networks
Computational Physics
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.
title Lateral disorder in Langmuir monolayers: theoretical derivations and grazing-incidence X-ray diffraction
topic Soft Condensed Matter
Disordered Systems and Neural Networks
Computational Physics
url https://arxiv.org/abs/2509.20130