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Thickness-radius relationship and spring constants of cholesterol helical ribbons

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Author(s)
Benedek, George B.
•
Feld, Michael S.
•
Dasari, Ramachandra Rao
•
Sung, Yongjin
•
Hossain, Najeeb
•
Lomakin, Aleksey
•
Choi, Wonshik
•
Kozlova, Natalia
•
Khaykovich, Boris
Date Issued
August 2009
Journal
Proceedings of the National Academy of Sciences of the United States of America
Publisher
United States National Academy of Sciences
Citation
Khaykovich, Boris et al. “Thickness–radius relationship and spring constants of cholesterol helical ribbons.” Proceedings of the National Academy of Sciences 106.37 (2009): 15663-15666. © 2009 National Academy of Sciences
Version
Final published version
Abstract
Using quantitative phase microscopy, we have discovered a quadratic relationship between the radius R and the thickness t of helical ribbons that form spontaneously in multicomponent cholesterol–surfactant mixtures. These helical ribbons may serve as mesoscopic springs to measure or to exert forces on nanoscale biological objects. The spring constants of these helices depend on their submicroscopic thickness. The quadratic relationship (R ∝ t[superscript 2]) between radius and thickness is a consequence of the crystal structure of the ribbons and enables a determination of the spring constant of any of our helices solely in terms of its observable geometrical dimensions.
MIT Department
Massachusetts Institute of Technology. Center for Materials Science and Engineering
Massachusetts Institute of Technology. Materials Processing Center
Massachusetts Institute of Technology. Department of Mechanical Engineering
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Spectroscopy Laboratory
MIT Nuclear Reactor Laboratory
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
http://hdl.handle.net/1721.1/55291
DOI of Published Version
http://dx.doi.org/10.1073/pnas.0907795106
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