Grazing-incidence small-angle X-ray scattering from thin polymer films with lamellar structures - the scattering cross section in the distorted-wave Born approximation

Dorthe Posselt, Peter Busch, Markus Rauscher, Detlef M. Smilgies, Christine M. Papadakis

    Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

    Resumé

    Grazing-incidence small-angle X-ray or neutron scattering of thin polymer films reveals information about the ordering and preferential orientations of the phase-separated microdomains within the films. The grazing-incidence geometry enhances the surface sensitivity; however, the scattering has to be treated within the framework of the distorted-wave Born approximation. In this work, the case of thin films with lamellar mesostructure is studied, where the orientation of the lamellae is either perpendicular or parallel to the film interfaces. For perpendicular lamellae, Bragg rods are found, which are extended along the film normal, whereas for parallel lamellae, peaks along the film normal appear.The positions of the maxima present in the latter case are explained by accounting for refraction at the film surface and reflection at the film–substrate interface. The results are relevant for thin films of lamellar diblock copolymers.
    OriginalsprogEngelsk
    TidsskriftJournal of Applied Crystallography
    Vol/bind39
    Udgave nummer3
    Sider (fra-til)433-442
    Antal sider10
    ISSN0021-8898
    StatusUdgivet - 2006

    Citer dette

    @article{9839cda0b2a311db974c000ea68e967b,
    title = "Grazing-incidence small-angle X-ray scattering from thin polymer films with lamellar structures - the scattering cross section in the distorted-wave Born approximation",
    abstract = "Grazing-incidence small-angle X-ray or neutron scattering of thin polymer films reveals information about the ordering and preferential orientations of the phase-separated microdomains within the films. The grazing-incidence geometry enhances the surface sensitivity; however, the scattering has to be treated within the framework of the distorted-wave Born approximation. In this work, the case of thin films with lamellar mesostructure is studied, where the orientation of the lamellae is either perpendicular or parallel to the film interfaces. For perpendicular lamellae, Bragg rods are found, which are extended along the film normal, whereas for parallel lamellae, peaks along the film normal appear.The positions of the maxima present in the latter case are explained by accounting for refraction at the film surface and reflection at the film–substrate interface. The results are relevant for thin films of lamellar diblock copolymers.",
    author = "Dorthe Posselt and Peter Busch and Markus Rauscher and Smilgies, {Detlef M.} and Papadakis, {Christine M.}",
    year = "2006",
    language = "English",
    volume = "39",
    pages = "433--442",
    journal = "Journal of Applied Crystallography",
    issn = "0021-8898",
    publisher = "Wiley-Blackwell Publishing Ltd.",
    number = "3",

    }

    Grazing-incidence small-angle X-ray scattering from thin polymer films with lamellar structures - the scattering cross section in the distorted-wave Born approximation. / Posselt, Dorthe; Busch, Peter; Rauscher, Markus; Smilgies, Detlef M.; Papadakis, Christine M.

    I: Journal of Applied Crystallography, Bind 39, Nr. 3, 2006, s. 433-442.

    Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

    TY - JOUR

    T1 - Grazing-incidence small-angle X-ray scattering from thin polymer films with lamellar structures - the scattering cross section in the distorted-wave Born approximation

    AU - Posselt, Dorthe

    AU - Busch, Peter

    AU - Rauscher, Markus

    AU - Smilgies, Detlef M.

    AU - Papadakis, Christine M.

    PY - 2006

    Y1 - 2006

    N2 - Grazing-incidence small-angle X-ray or neutron scattering of thin polymer films reveals information about the ordering and preferential orientations of the phase-separated microdomains within the films. The grazing-incidence geometry enhances the surface sensitivity; however, the scattering has to be treated within the framework of the distorted-wave Born approximation. In this work, the case of thin films with lamellar mesostructure is studied, where the orientation of the lamellae is either perpendicular or parallel to the film interfaces. For perpendicular lamellae, Bragg rods are found, which are extended along the film normal, whereas for parallel lamellae, peaks along the film normal appear.The positions of the maxima present in the latter case are explained by accounting for refraction at the film surface and reflection at the film–substrate interface. The results are relevant for thin films of lamellar diblock copolymers.

    AB - Grazing-incidence small-angle X-ray or neutron scattering of thin polymer films reveals information about the ordering and preferential orientations of the phase-separated microdomains within the films. The grazing-incidence geometry enhances the surface sensitivity; however, the scattering has to be treated within the framework of the distorted-wave Born approximation. In this work, the case of thin films with lamellar mesostructure is studied, where the orientation of the lamellae is either perpendicular or parallel to the film interfaces. For perpendicular lamellae, Bragg rods are found, which are extended along the film normal, whereas for parallel lamellae, peaks along the film normal appear.The positions of the maxima present in the latter case are explained by accounting for refraction at the film surface and reflection at the film–substrate interface. The results are relevant for thin films of lamellar diblock copolymers.

    M3 - Journal article

    VL - 39

    SP - 433

    EP - 442

    JO - Journal of Applied Crystallography

    JF - Journal of Applied Crystallography

    SN - 0021-8898

    IS - 3

    ER -