27–28 May 2019
Fænø Park
Europe/Copenhagen timezone
Tilmeldingsfristen er den 10. maj!

Spherical harmonics expansion: excellent tool for analysis of anisotropic small-angle scattering data

Not scheduled
15m
Fænø Park

Fænø Park

Oddevejen 8, 5500 Middelfart, Danmark Telefon: 63401906 WWW: sundogskov.dk
Contributed talk

Speaker

Ms Anine Borger (University of Copenhagen, Niels Bohr Institute)

Description

With small-angle scattering, we may study the structure of (soft) matter, e.g. polymer melts, on length scales of ~1-100 nm. If there is alignment in the system on these length scales, the small-angle scattering pattern will be anisotropic.

The anisotropy of the scattering patterns can be quantified by expansion in spherical harmonics which separates contributions based on their symmetries.

We demonstrate the power of the spherical harmonics expansion framework [1], by analyzing small-angle neutron scattering data for the relaxation of a polymer melt following fast uniaxial extension, previously published in [2]. We see that the chains initially retract which was proposed in 1978 [3] and has been debated since [1, 4-7].

References
[1] Z. Wang et al, Phys Rev X 7, 031003 (2017)
[2] J.J.K. Kirkensgaard et al, Phys. Rev. E 94, 020502(R) (2016)
[3] Doi and Edwards, J. Chem. Soc., Faraday Trans. 2, 74, 1802-1817 (1978)
[4] Boue et al, Journal de Physique, 43, 137-148 (1982)
[5] Mortensen et al, MRS Proceedings, 79, 259 (1986)
[6] Blanchard et al, Phys. Rev. Lett., 95, 166001 (2005)
[7] Hsu and Kremer, Phys. Rev. Lett., 121, 167801 (2018)

Primary author

Ms Anine Borger (University of Copenhagen, Niels Bohr Institute)

Co-authors

Jacob Kirkensgaard (Niels Bohr Institute, University of Copenhagen) Kell Mortensen (University of Copenhagen) Prof. Kristoffer Almdal (Technical University of Denmark, Department of Micro- and Nanotechnology) Prof. Ole Hassager (Technical University of Denmark, Department of Chemical and Biochemical Engineering) Dr Qian Huang (Technical University of Denmark, Department of Chemical and Biochemical Engineering)

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